3.018/3.018 YES 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 3.018/3.018 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 3.018/3.018 CleanTRS Processor: 3.018/3.018 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 3.018/3.018 Modular Confluence Combinations Decomposition Processor: 3.018/3.018 It is a CTRS -> No modular confluence 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 CS-TRS Processor: 3.018/3.018 R is a CS-TRS 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 Termination Processor: 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 Terminating? 3.018/3.018 YES 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 3.018/3.018 (VAR vu95NonEmpty:S vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (num0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 3.018/3.018 Innermost Equivalent Processor: 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. 3.018/3.018 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 3.018/3.018 Dependency Pairs Processor: 3.018/3.018 -> Pairs: 3.018/3.018 U11Sharp(tt,M:S,N:S) -> U12Sharp(tt,M:S,N:S) 3.018/3.018 U12Sharp(tt,M:S,N:S) -> PLUS(N:S,M:S) 3.018/3.018 U12Sharp(tt,M:S,N:S) -> M:S 3.018/3.018 U12Sharp(tt,M:S,N:S) -> N:S 3.018/3.018 U21Sharp(tt,M:S,N:S) -> U22Sharp(tt,M:S,N:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> PLUS(x(N:S,M:S),N:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> X(N:S,M:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> M:S 3.018/3.018 U22Sharp(tt,M:S,N:S) -> N:S 3.018/3.018 PLUS(N:S,s(M:S)) -> U11Sharp(tt,M:S,N:S) 3.018/3.018 X(N:S,s(M:S)) -> U21Sharp(tt,M:S,N:S) 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> Unhiding Rules: 3.018/3.018 Empty 3.018/3.018 3.018/3.018 Problem 1: 3.018/3.018 3.018/3.018 SCC Processor: 3.018/3.018 -> Pairs: 3.018/3.018 U11Sharp(tt,M:S,N:S) -> U12Sharp(tt,M:S,N:S) 3.018/3.018 U12Sharp(tt,M:S,N:S) -> PLUS(N:S,M:S) 3.018/3.018 U12Sharp(tt,M:S,N:S) -> M:S 3.018/3.018 U12Sharp(tt,M:S,N:S) -> N:S 3.018/3.018 U21Sharp(tt,M:S,N:S) -> U22Sharp(tt,M:S,N:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> PLUS(x(N:S,M:S),N:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> X(N:S,M:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> M:S 3.018/3.018 U22Sharp(tt,M:S,N:S) -> N:S 3.018/3.018 PLUS(N:S,s(M:S)) -> U11Sharp(tt,M:S,N:S) 3.018/3.018 X(N:S,s(M:S)) -> U21Sharp(tt,M:S,N:S) 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> Unhiding rules: 3.018/3.018 Empty 3.018/3.018 ->Strongly Connected Components: 3.018/3.018 ->->Cycle: 3.018/3.018 ->->-> Pairs: 3.018/3.018 U11Sharp(tt,M:S,N:S) -> U12Sharp(tt,M:S,N:S) 3.018/3.018 U12Sharp(tt,M:S,N:S) -> PLUS(N:S,M:S) 3.018/3.018 PLUS(N:S,s(M:S)) -> U11Sharp(tt,M:S,N:S) 3.018/3.018 ->->-> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ->->-> Unhiding rules: 3.018/3.018 Empty 3.018/3.018 ->->Cycle: 3.018/3.018 ->->-> Pairs: 3.018/3.018 U21Sharp(tt,M:S,N:S) -> U22Sharp(tt,M:S,N:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> X(N:S,M:S) 3.018/3.018 X(N:S,s(M:S)) -> U21Sharp(tt,M:S,N:S) 3.018/3.018 ->->-> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ->->-> Unhiding rules: 3.018/3.018 Empty 3.018/3.018 3.018/3.018 3.018/3.018 The problem is decomposed in 2 subproblems. 3.018/3.018 3.018/3.018 Problem 1.1: 3.018/3.018 3.018/3.018 SubNColl Processor: 3.018/3.018 -> Pairs: 3.018/3.018 U11Sharp(tt,M:S,N:S) -> U12Sharp(tt,M:S,N:S) 3.018/3.018 U12Sharp(tt,M:S,N:S) -> PLUS(N:S,M:S) 3.018/3.018 PLUS(N:S,s(M:S)) -> U11Sharp(tt,M:S,N:S) 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> Unhiding rules: 3.018/3.018 Empty 3.018/3.018 ->Projection: 3.018/3.018 pi(U11Sharp) = 2 3.018/3.018 pi(U12Sharp) = 2 3.018/3.018 pi(PLUS) = 2 3.018/3.018 3.018/3.018 Problem 1.1: 3.018/3.018 3.018/3.018 SCC Processor: 3.018/3.018 -> Pairs: 3.018/3.018 U11Sharp(tt,M:S,N:S) -> U12Sharp(tt,M:S,N:S) 3.018/3.018 U12Sharp(tt,M:S,N:S) -> PLUS(N:S,M:S) 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> Unhiding rules: 3.018/3.018 Empty 3.018/3.018 ->Strongly Connected Components: 3.018/3.018 There is no strongly connected component 3.018/3.018 3.018/3.018 The problem is finite. 3.018/3.018 3.018/3.018 Problem 1.2: 3.018/3.018 3.018/3.018 SubNColl Processor: 3.018/3.018 -> Pairs: 3.018/3.018 U21Sharp(tt,M:S,N:S) -> U22Sharp(tt,M:S,N:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> X(N:S,M:S) 3.018/3.018 X(N:S,s(M:S)) -> U21Sharp(tt,M:S,N:S) 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> Unhiding rules: 3.018/3.018 Empty 3.018/3.018 ->Projection: 3.018/3.018 pi(U21Sharp) = 2 3.018/3.018 pi(U22Sharp) = 2 3.018/3.018 pi(X) = 2 3.018/3.018 3.018/3.018 Problem 1.2: 3.018/3.018 3.018/3.018 SCC Processor: 3.018/3.018 -> Pairs: 3.018/3.018 U21Sharp(tt,M:S,N:S) -> U22Sharp(tt,M:S,N:S) 3.018/3.018 U22Sharp(tt,M:S,N:S) -> X(N:S,M:S) 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,num0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,num0) -> num0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> Unhiding rules: 3.018/3.018 Empty 3.018/3.018 ->Strongly Connected Components: 3.018/3.018 There is no strongly connected component 3.018/3.018 3.018/3.018 The problem is finite. 3.018/3.018 3.018/3.018 Problem 1.1: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 LH u-Critical Pairs Processor [JLAMP21-Def12]: 3.018/3.018 ->LH u-Critical Pair: 3.018/3.018 Rule 6 (l :-> r) => plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 Var x => M:S 3.018/3.018 Var y => y:S 3.018/3.018 Pos M:S in l => [2,1] 3.018/3.018 s => plus(N:S,s(y:S)) 3.018/3.018 t => U11(tt,M:S,N:S) 3.018/3.018 C => M:S \-> y:S 3.018/3.018 NW => 0 3.018/3.018 3.018/3.018 3.018/3.018 ->LH u-Critical Pair: 3.018/3.018 Rule 6 (l :-> r) => plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 Var x => N:S 3.018/3.018 Var y => y:S 3.018/3.018 Pos N:S in l => [1] 3.018/3.018 s => plus(y:S,s(M:S)) 3.018/3.018 t => U11(tt,M:S,N:S) 3.018/3.018 C => N:S \-> y:S 3.018/3.018 NW => 0 3.018/3.018 3.018/3.018 3.018/3.018 ->LH u-Critical Pair: 3.018/3.018 Rule 8 (l :-> r) => x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 Var x => M:S 3.018/3.018 Var y => y:S 3.018/3.018 Pos M:S in l => [2,1] 3.018/3.018 s => x(N:S,s(y:S)) 3.018/3.018 t => U21(tt,M:S,N:S) 3.018/3.018 C => M:S \-> y:S 3.018/3.018 NW => 0 3.018/3.018 3.018/3.018 3.018/3.018 ->LH u-Critical Pair: 3.018/3.018 Rule 8 (l :-> r) => x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 Var x => N:S 3.018/3.018 Var y => y:S 3.018/3.018 Pos N:S in l => [1] 3.018/3.018 s => x(y:S,s(M:S)) 3.018/3.018 t => U21(tt,M:S,N:S) 3.018/3.018 C => N:S \-> y:S 3.018/3.018 NW => 0 3.018/3.018 3.018/3.018 3.018/3.018 Problem 1.1: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N1 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N2 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N3 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N4 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Huet Levy NW Processor: 3.018/3.018 -> Rules: 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 -> Vars: 3.018/3.018 M, N, M, N, M, N, M, N, N, M, N, N, M, N 3.018/3.018 -> UVars: 3.018/3.018 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [M, N], UV-RFrozen: [M, N]) 3.018/3.018 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [M, N], UV-LFrozen: [M, N], UV-RFrozen: []) 3.018/3.018 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [M, N], UV-RFrozen: [M, N]) 3.018/3.018 (UV-RuleId: 4, UV-LActive: [], UV-RActive: [M, N], UV-LFrozen: [M, N], UV-RFrozen: []) 3.018/3.018 (UV-RuleId: 5, UV-LActive: [N], UV-RActive: [N], UV-LFrozen: [], UV-RFrozen: []) 3.018/3.018 (UV-RuleId: 6, UV-LActive: [M, N], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [M, N]) 3.018/3.018 (UV-RuleId: 7, UV-LActive: [N], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: []) 3.018/3.018 (UV-RuleId: 8, UV-LActive: [M, N], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: [M, N]) 3.018/3.018 -> FVars: 3.018/3.018 x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16 3.018/3.018 -> PVars: 3.018/3.018 y: [y], M: [x3, x5, x7, x9, x12, x15], N: [x4, x6, x8, x10, x11, x13, x14, x16] 3.018/3.018 3.018/3.018 -> Rlps: 3.018/3.018 (rule: U11(tt,x3:S,x4:S) -> U12(tt,x3:S,x4:S), id: 1, possubterms: U11(tt,x3:S,x4:S)->[], tt->[1]) 3.018/3.018 (rule: U12(tt,x5:S,x6:S) -> s(plus(x6:S,x5:S)), id: 2, possubterms: U12(tt,x5:S,x6:S)->[], tt->[1]) 3.018/3.018 (rule: U21(tt,x7:S,x8:S) -> U22(tt,x7:S,x8:S), id: 3, possubterms: U21(tt,x7:S,x8:S)->[], tt->[1]) 3.018/3.018 (rule: U22(tt,x9:S,x10:S) -> plus(x(x10:S,x9:S),x10:S), id: 4, possubterms: U22(tt,x9:S,x10:S)->[], tt->[1]) 3.018/3.018 (rule: plus(x11:S,0) -> x11:S, id: 5, possubterms: plus(x11:S,0)->[], 0->[2]) 3.018/3.018 (rule: plus(x13:S,s(x12:S)) -> U11(tt,x12:S,x13:S), id: 6, possubterms: plus(x13:S,s(x12:S))->[], s(x12:S)->[2]) 3.018/3.018 (rule: x(x14:S,0) -> 0, id: 7, possubterms: x(x14:S,0)->[], 0->[2]) 3.018/3.018 (rule: x(x16:S,s(x15:S)) -> U21(tt,x15:S,x16:S), id: 8, possubterms: x(x16:S,s(x15:S))->[], s(x15:S)->[2]) 3.018/3.018 3.018/3.018 -> Unifications: 3.018/3.018 3.018/3.018 3.018/3.018 -> Critical pairs info: 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N1 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N2 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N3 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N4 3.018/3.018 3.018/3.018 -> Problem conclusions: 3.018/3.018 Left linear, Not right linear, Not linear 3.018/3.018 Not weakly orthogonal, Not almost orthogonal, Not orthogonal 3.018/3.018 Not Huet-Levy confluent, Not Newman confluent 3.018/3.018 R is a CS-TRS, Not left-homogeneous u-replacing variables 3.018/3.018 3.018/3.018 3.018/3.018 3.018/3.018 The problem is decomposed in 4 subproblems. 3.018/3.018 3.018/3.018 Problem 1.1.1: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N1 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Huet Brute Force Joinability Processor: 3.018/3.018 That is a LHCP. Trying another procedure. 3.018/3.018 3.018/3.018 Problem 1.1.1: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N1 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Prover9 LHCP Convergence Checker Processor: 3.018/3.018 formulas(sos). 3.018/3.018 %Reflexivity 3.018/3.018 reds(x,x). 3.018/3.018 3.018/3.018 %Transitivity 3.018/3.018 (red(x,y) & reds(y,z)) -> reds(x,z). 3.018/3.018 3.018/3.018 %Congruence 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 3.018/3.018 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 %Replacement 3.018/3.018 all M all N ( red(U11(tt,M,N),U12(tt,M,N)) ). 3.018/3.018 all M all N ( red(U12(tt,M,N),s(plus(N,M))) ). 3.018/3.018 all M all N ( red(U21(tt,M,N),U22(tt,M,N)) ). 3.018/3.018 all M all N ( red(U22(tt,M,N),plus(x(N,M),N)) ). 3.018/3.018 all N ( red(plus(N,0),N) ). 3.018/3.018 all M all N ( red(plus(N,s(M)),U11(tt,M,N)) ). 3.018/3.018 all N ( red(x(N,0),0) ). 3.018/3.018 all M all N ( red(x(N,s(M)),U21(tt,M,N)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 all N all y exists z ( red(N,y) -> (reds(x(y,s(c_M)),z) & reds(U21(tt,c_M,N),z)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 Proof: 3.018/3.018 ============================== Prover9 =============================== 3.018/3.018 Prover9 (64) version 2009-11A, November 2009. 3.018/3.018 Process 43340 was started by ubuntu on ubuntu, 3.018/3.018 Tue Nov 16 11:31:42 2021 3.018/3.018 The command was "./prover9 -t 30 -f /tmp/prover943235-10.in". 3.018/3.018 ============================== end of head =========================== 3.018/3.018 3.018/3.018 ============================== INPUT ================================= 3.018/3.018 3.018/3.018 % Reading from file /tmp/prover943235-10.in 3.018/3.018 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). 3.018/3.018 red(x,y) & reds(y,z) -> reds(x,z). 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 (all M all N red(U11(tt,M,N),U12(tt,M,N))). 3.018/3.018 (all M all N red(U12(tt,M,N),s(plus(N,M)))). 3.018/3.018 (all M all N red(U21(tt,M,N),U22(tt,M,N))). 3.018/3.018 (all M all N red(U22(tt,M,N),plus(x(N,M),N))). 3.018/3.018 (all N red(plus(N,0),N)). 3.018/3.018 (all M all N red(plus(N,s(M)),U11(tt,M,N))). 3.018/3.018 (all N red(x(N,0),0)). 3.018/3.018 (all M all N red(x(N,s(M)),U21(tt,M,N))). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 (all N all y exists z (red(N,y) -> reds(x(y,s(c_M)),z) & reds(U21(tt,c_M,N),z))). 3.018/3.018 end_of_list. 3.018/3.018 assign(max_megs,-1). 3.018/3.018 set(quiet). 3.018/3.018 3.018/3.018 ============================== end of input ========================== 3.018/3.018 3.018/3.018 % From the command line: assign(max_seconds, 30). 3.018/3.018 3.018/3.018 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 3.018/3.018 3.018/3.018 % Formulas that are not ordinary clauses: 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 2 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 3 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 4 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 5 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 6 red(x,y) -> red(plus(x,z2),plus(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 7 red(x,y) -> red(plus(z1,x),plus(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 8 red(x,y) -> red(x(x,z2),x(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 9 red(x,y) -> red(x(z1,x),x(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 10 red(x,y) -> red(s(x),s(y)) # label(non_clause). [assumption]. 3.018/3.018 11 (all M all N red(U11(tt,M,N),U12(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 12 (all M all N red(U12(tt,M,N),s(plus(N,M)))) # label(non_clause). [assumption]. 3.018/3.018 13 (all M all N red(U21(tt,M,N),U22(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 14 (all M all N red(U22(tt,M,N),plus(x(N,M),N))) # label(non_clause). [assumption]. 3.018/3.018 15 (all N red(plus(N,0),N)) # label(non_clause). [assumption]. 3.018/3.018 16 (all M all N red(plus(N,s(M)),U11(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 17 (all N red(x(N,0),0)) # label(non_clause). [assumption]. 3.018/3.018 18 (all M all N red(x(N,s(M)),U21(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all N all y exists z (red(N,y) -> reds(x(y,s(c_M)),z) & reds(U21(tt,c_M,N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 3.018/3.018 ============================== end of process non-clausal formulas === 3.018/3.018 3.018/3.018 ============================== PROCESS INITIAL CLAUSES =============== 3.018/3.018 3.018/3.018 % Clauses before input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). [assumption]. 3.018/3.018 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 red(x(x,0),0). [clausify(17)]. 3.018/3.018 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 red(c1,c2). [deny(19)]. 3.018/3.018 -reds(x(c2,s(c_M)),x) | -reds(U21(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== PREDICATE ELIMINATION ================= 3.018/3.018 3.018/3.018 ============================== end predicate elimination ============= 3.018/3.018 3.018/3.018 Auto_denials: (no changes). 3.018/3.018 3.018/3.018 Term ordering decisions: 3.018/3.018 3.018/3.018 kept: 20 reds(x,x). [assumption]. 3.018/3.018 kept: 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 kept: 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 kept: 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 kept: 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 kept: 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 kept: 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 kept: 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 kept: 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 kept: 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 kept: 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 kept: 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 kept: 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 kept: 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 kept: 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 kept: 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 kept: 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 kept: 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 kept: 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 kept: 39 red(c1,c2). [deny(19)]. 3.018/3.018 kept: 40 -reds(x(c2,s(c_M)),x) | -reds(U21(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 3.018/3.018 ============================== end of process initial clauses ======== 3.018/3.018 3.018/3.018 ============================== CLAUSES FOR SEARCH ==================== 3.018/3.018 3.018/3.018 % Clauses after input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(x(c2,s(c_M)),x) | -reds(U21(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== end of clauses for search ============= 3.018/3.018 3.018/3.018 ============================== SEARCH ================================ 3.018/3.018 3.018/3.018 % Starting search at 0.00 seconds. 3.018/3.018 3.018/3.018 given #1 (I,wt=3): 20 reds(x,x). [assumption]. 3.018/3.018 3.018/3.018 given #2 (I,wt=9): 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 3.018/3.018 given #3 (I,wt=12): 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 3.018/3.018 given #4 (I,wt=12): 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 3.018/3.018 given #5 (I,wt=12): 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 3.018/3.018 given #6 (I,wt=12): 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 3.018/3.018 given #7 (I,wt=10): 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 3.018/3.018 given #8 (I,wt=10): 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 3.018/3.018 given #9 (I,wt=10): 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 3.018/3.018 given #10 (I,wt=10): 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 3.018/3.018 given #11 (I,wt=8): 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 3.018/3.018 given #12 (I,wt=9): 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 3.018/3.018 given #13 (I,wt=9): 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 3.018/3.018 given #14 (I,wt=9): 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 3.018/3.018 given #15 (I,wt=10): 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 3.018/3.018 given #16 (I,wt=5): 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 3.018/3.018 given #17 (I,wt=9): 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 3.018/3.018 given #18 (I,wt=5): 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 3.018/3.018 given #19 (I,wt=9): 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 3.018/3.018 given #20 (I,wt=3): 39 red(c1,c2). [deny(19)]. 3.018/3.018 3.018/3.018 given #21 (I,wt=12): 40 -reds(x(c2,s(c_M)),x) | -reds(U21(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 3.018/3.018 given #22 (A,wt=11): 41 red(s(U11(tt,x,y)),s(U12(tt,x,y))). [ur(30,a,31,a)]. 3.018/3.018 3.018/3.018 given #23 (F,wt=9): 132 -reds(U21(tt,c_M,c1),x(c2,s(c_M))). [resolve(40,a,20,a)]. 3.018/3.018 3.018/3.018 given #24 (F,wt=9): 134 -reds(x(c2,s(c_M)),U21(tt,c_M,c1)). [resolve(40,b,20,a)]. 3.018/3.018 3.018/3.018 given #25 (F,wt=9): 146 -red(U21(tt,c_M,c1),x(c2,s(c_M))). [ur(21,b,20,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #26 (F,wt=9): 147 -reds(U22(tt,c_M,c1),x(c2,s(c_M))). [ur(21,a,33,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #27 (T,wt=3): 130 reds(c1,c2). [ur(21,a,39,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #28 (T,wt=5): 90 reds(plus(x,0),x). [ur(21,a,35,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #29 (T,wt=5): 110 reds(x(x,0),0). [ur(21,a,37,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #30 (T,wt=5): 121 red(s(c1),s(c2)). [ur(30,a,39,a)]. 3.018/3.018 3.018/3.018 given #31 (A,wt=13): 42 red(x(x,U11(tt,y,z)),x(x,U12(tt,y,z))). [ur(29,a,31,a)]. 3.018/3.018 3.018/3.018 given #32 (F,wt=9): 149 -red(x(c2,s(c_M)),U21(tt,c_M,c1)). [ur(21,b,20,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #33 (F,wt=9): 150 -reds(U21(tt,c_M,c2),U21(tt,c_M,c1)). [ur(21,a,38,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #34 (F,wt=9): 152 -red(U22(tt,c_M,c1),x(c2,s(c_M))). [ur(21,b,20,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #35 (F,wt=9): 183 -red(U21(tt,c_M,c2),U21(tt,c_M,c1)). [ur(21,b,20,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #36 (T,wt=5): 154 reds(plus(c1,0),c2). [ur(21,a,35,a,b,130,a)]. 3.018/3.018 3.018/3.018 given #37 (T,wt=5): 170 reds(s(c1),s(c2)). [ur(21,a,121,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #38 (T,wt=7): 81 red(s(plus(x,0)),s(x)). [ur(30,a,35,a)]. 3.018/3.018 3.018/3.018 given #39 (T,wt=7): 101 red(s(x(x,0)),s(0)). [ur(30,a,37,a)]. 3.018/3.018 3.018/3.018 given #40 (A,wt=13): 43 red(x(U11(tt,x,y),z),x(U12(tt,x,y),z)). [ur(28,a,31,a)]. 3.018/3.018 3.018/3.018 given #41 (F,wt=9): 184 -reds(U22(tt,c_M,c2),U21(tt,c_M,c1)). [ur(21,a,33,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #42 (F,wt=9): 220 -red(U22(tt,c_M,c2),U21(tt,c_M,c1)). [ur(21,b,20,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #43 (F,wt=10): 153 -reds(plus(x(c1,c_M),c1),x(c2,s(c_M))). [ur(21,a,34,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #44 (F,wt=10): 221 -reds(plus(x(c2,c_M),c2),U21(tt,c_M,c1)). [ur(21,a,34,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #45 (T,wt=7): 122 red(x(x,c1),x(x,c2)). [ur(29,a,39,a)]. 3.018/3.018 3.018/3.018 given #46 (T,wt=7): 123 red(x(c1,x),x(c2,x)). [ur(28,a,39,a)]. 3.018/3.018 3.018/3.018 given #47 (T,wt=7): 124 red(plus(x,c1),plus(x,c2)). [ur(27,a,39,a)]. 3.018/3.018 3.018/3.018 given #48 (T,wt=7): 125 red(plus(c1,x),plus(c2,x)). [ur(26,a,39,a)]. 3.018/3.018 3.018/3.018 given #49 (A,wt=13): 44 red(plus(x,U11(tt,y,z)),plus(x,U12(tt,y,z))). [ur(27,a,31,a)]. 3.018/3.018 3.018/3.018 given #50 (F,wt=10): 224 -red(plus(x(c1,c_M),c1),x(c2,s(c_M))). [ur(21,b,20,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #51 (F,wt=10): 227 -red(plus(x(c2,c_M),c2),U21(tt,c_M,c1)). [ur(21,b,20,a,c,221,a)]. 3.018/3.018 3.018/3.018 given #52 (F,wt=10): 258 -reds(plus(x(c1,c_M),c2),x(c2,s(c_M))). [ur(21,a,124,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #53 (F,wt=10): 281 -red(plus(x(c1,c_M),c2),x(c2,s(c_M))). [ur(21,b,20,a,c,258,a)]. 3.018/3.018 3.018/3.018 given #54 (T,wt=7): 155 reds(plus(plus(x,0),0),x). [ur(21,a,35,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #55 (T,wt=7): 160 reds(plus(x(x,0),0),0). [ur(21,a,35,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #56 (T,wt=6): 292 reds(U22(tt,0,0),0). [ur(21,a,34,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #57 (T,wt=6): 294 reds(U21(tt,0,0),0). [ur(21,a,33,a,b,292,a)]. 3.018/3.018 3.018/3.018 given #58 (A,wt=13): 45 red(plus(U11(tt,x,y),z),plus(U12(tt,x,y),z)). [ur(26,a,31,a)]. 3.018/3.018 3.018/3.018 given #59 (F,wt=11): 157 -red(U22(tt,c_M,c1),plus(x(c2,s(c_M)),0)). [ur(21,b,90,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #60 (F,wt=11): 158 -red(x(c2,s(c_M)),plus(U21(tt,c_M,c1),0)). [ur(21,b,90,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #61 (F,wt=11): 159 -red(U21(tt,c_M,c1),plus(x(c2,s(c_M)),0)). [ur(21,b,90,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #62 (F,wt=11): 182 -red(U21(tt,c_M,c2),plus(U21(tt,c_M,c1),0)). [ur(21,b,90,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #63 (T,wt=6): 295 reds(x(0,s(0)),0). [ur(21,a,38,a,b,294,a)]. 3.018/3.018 3.018/3.018 given #64 (T,wt=7): 161 red(s(s(c1)),s(s(c2))). [ur(30,a,121,a)]. 3.018/3.018 3.018/3.018 given #65 (T,wt=7): 185 reds(plus(plus(c1,0),0),c2). [ur(21,a,35,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #66 (T,wt=7): 186 reds(plus(s(c1),0),s(c2)). [ur(21,a,35,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #67 (A,wt=15): 46 red(U22(U11(tt,x,y),z,u),U22(U12(tt,x,y),z,u)). [ur(25,a,31,a)]. 3.018/3.018 3.018/3.018 given #68 (F,wt=11): 219 -red(U22(tt,c_M,c2),plus(U21(tt,c_M,c1),0)). [ur(21,b,90,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #69 (F,wt=12): 145 -red(U21(tt,c_M,c1),x) | -reds(x,x(c2,s(c_M))). [resolve(132,a,21,c)]. 3.018/3.018 3.018/3.018 given #70 (F,wt=12): 148 -red(x(c2,s(c_M)),x) | -reds(x,U21(tt,c_M,c1)). [resolve(134,a,21,c)]. 3.018/3.018 3.018/3.018 given #71 (F,wt=12): 151 -red(U22(tt,c_M,c1),x) | -reds(x,x(c2,s(c_M))). [resolve(147,a,21,c)]. 3.018/3.018 3.018/3.018 given #72 (T,wt=7): 196 reds(s(plus(c1,0)),s(c2)). [ur(21,a,81,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #73 (T,wt=7): 197 reds(s(plus(x,0)),s(x)). [ur(21,a,81,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #74 (T,wt=7): 207 reds(s(x(x,0)),s(0)). [ur(21,a,101,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #75 (T,wt=7): 237 reds(x(x,c1),x(x,c2)). [ur(21,a,122,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #76 (A,wt=15): 47 red(U21(U11(tt,x,y),z,u),U21(U12(tt,x,y),z,u)). [ur(24,a,31,a)]. 3.018/3.018 3.018/3.018 given #77 (F,wt=12): 181 -red(U21(tt,c_M,c2),x) | -reds(x,U21(tt,c_M,c1)). [resolve(150,a,21,c)]. 3.018/3.018 3.018/3.018 given #78 (F,wt=12): 218 -red(U22(tt,c_M,c2),x) | -reds(x,U21(tt,c_M,c1)). [resolve(184,a,21,c)]. 3.018/3.018 3.018/3.018 given #79 (F,wt=12): 223 -red(plus(x(c1,c_M),c1),plus(x(c2,s(c_M)),0)). [ur(21,b,90,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #80 (F,wt=12): 226 -red(plus(x(c2,c_M),c2),plus(U21(tt,c_M,c1),0)). [ur(21,b,90,a,c,221,a)]. 3.018/3.018 3.018/3.018 given #81 (T,wt=7): 247 reds(x(c1,x),x(c2,x)). [ur(21,a,123,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #82 (T,wt=7): 257 reds(plus(x,c1),plus(x,c2)). [ur(21,a,124,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #83 (T,wt=7): 268 reds(plus(c1,x),plus(c2,x)). [ur(21,a,125,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #84 (T,wt=7): 318 reds(s(s(c1)),s(s(c2))). [ur(21,a,161,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #85 (A,wt=15): 48 red(U12(U11(tt,x,y),z,u),U12(U12(tt,x,y),z,u)). [ur(23,a,31,a)]. 3.018/3.018 3.018/3.018 given #86 (F,wt=9): 363 -red(U22(tt,c_M,c1),x(c1,s(c_M))). [resolve(247,a,151,b)]. 3.018/3.018 3.018/3.018 given #87 (F,wt=9): 364 -red(U21(tt,c_M,c1),x(c1,s(c_M))). [resolve(247,a,145,b)]. 3.018/3.018 3.018/3.018 given #88 (F,wt=10): 367 -red(plus(x(c1,c_M),c2),x(c1,s(c_M))). [ur(21,b,247,a,c,258,a)]. 3.018/3.018 3.018/3.018 given #89 (F,wt=10): 368 -red(plus(x(c1,c_M),c1),x(c1,s(c_M))). [ur(21,b,247,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #90 (T,wt=7): 340 reds(U12(tt,0,c1),s(c2)). [ur(21,a,32,a,b,196,a)]. 3.018/3.018 3.018/3.018 given #91 (T,wt=7): 343 reds(U12(tt,0,x),s(x)). [ur(21,a,32,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #92 (T,wt=7): 346 reds(x(c1,c1),x(c2,c2)). [ur(21,a,123,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #93 (T,wt=7): 369 reds(plus(c1,c1),plus(c2,c2)). [ur(21,a,125,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #94 (A,wt=15): 49 red(U11(U11(tt,x,y),z,u),U11(U12(tt,x,y),z,u)). [ur(22,a,31,a)]. 3.018/3.018 3.018/3.018 given #95 (F,wt=12): 280 -red(plus(x(c1,c_M),c2),plus(x(c2,s(c_M)),0)). [ur(21,b,90,a,c,258,a)]. 3.018/3.018 3.018/3.018 given #96 (F,wt=12): 331 -reds(U21(x,c_M,c1),x(c2,s(c_M))) | -red(tt,x). [resolve(145,a,24,b)]. 3.018/3.018 3.018/3.018 given #97 (F,wt=12): 333 -reds(x(c2,x),U21(tt,c_M,c1)) | -red(s(c_M),x). [resolve(148,a,29,b)]. 3.018/3.018 3.018/3.018 given #98 (F,wt=12): 334 -reds(x(x,s(c_M)),U21(tt,c_M,c1)) | -red(c2,x). [resolve(148,a,28,b)]. 3.018/3.018 3.018/3.018 given #99 (T,wt=7): 388 reds(U11(tt,0,c1),s(c2)). [ur(21,a,31,a,b,340,a)]. 3.018/3.018 3.018/3.018 given #100 (T,wt=7): 390 reds(U11(tt,0,x),s(x)). [ur(21,a,31,a,b,343,a)]. 3.018/3.018 3.018/3.018 given #101 (T,wt=7): 407 reds(plus(c1,s(0)),s(c2)). [ur(21,a,36,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #102 (T,wt=7): 409 reds(plus(x,s(0)),s(x)). [ur(21,a,36,a,b,390,a)]. 3.018/3.018 3.018/3.018 given #103 (A,wt=9): 50 reds(U11(tt,x,y),U12(tt,x,y)). [ur(21,a,31,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #104 (F,wt=12): 336 -reds(U22(x,c_M,c1),x(c2,s(c_M))) | -red(tt,x). [resolve(151,a,25,b)]. 3.018/3.018 3.018/3.018 given #105 (F,wt=12): 359 -reds(U21(x,c_M,c2),U21(tt,c_M,c1)) | -red(tt,x). [resolve(181,a,24,b)]. 3.018/3.018 3.018/3.018 given #106 (F,wt=12): 361 -reds(U22(x,c_M,c2),U21(tt,c_M,c1)) | -red(tt,x). [resolve(218,a,25,b)]. 3.018/3.018 3.018/3.018 given #107 (F,wt=12): 405 -reds(x(c2,s(x)),U21(tt,c_M,c1)) | -red(c_M,x). [resolve(333,b,30,b)]. 3.018/3.018 3.018/3.018 given #108 (T,wt=8): 156 reds(U22(tt,x,0),x(0,x)). [ur(21,a,34,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #109 (T,wt=8): 293 reds(plus(U22(tt,0,0),0),0). [ur(21,a,35,a,b,292,a)]. 3.018/3.018 3.018/3.018 given #110 (T,wt=8): 296 reds(plus(U21(tt,0,0),0),0). [ur(21,a,35,a,b,294,a)]. 3.018/3.018 3.018/3.018 given #111 (T,wt=8): 308 reds(plus(x(0,s(0)),0),0). [ur(21,a,35,a,b,295,a)]. 3.018/3.018 3.018/3.018 given #112 (A,wt=11): 51 red(s(U12(tt,x,y)),s(s(plus(y,x)))). [ur(30,a,32,a)]. 3.018/3.018 3.018/3.018 given #113 (F,wt=13): 222 -red(plus(x(c1,c_M),c1),x) | -reds(x,x(c2,s(c_M))). [resolve(153,a,21,c)]. 3.018/3.018 3.018/3.018 given #114 (F,wt=13): 225 -red(plus(x(c2,c_M),c2),x) | -reds(x,U21(tt,c_M,c1)). [resolve(221,a,21,c)]. 3.018/3.018 3.018/3.018 given #115 (F,wt=13): 279 -red(plus(x(c1,c_M),c2),x) | -reds(x,x(c2,s(c_M))). [resolve(258,a,21,c)]. 3.018/3.018 3.018/3.018 given #116 (F,wt=13): 285 -red(U22(tt,c_M,c2),plus(plus(U21(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #117 (T,wt=7): 425 reds(U22(tt,s(0),0),0). [ur(21,a,34,a,b,308,a)]. 3.018/3.018 3.018/3.018 given #118 (T,wt=7): 446 reds(U21(tt,s(0),0),0). [ur(21,a,33,a,b,425,a)]. 3.018/3.018 3.018/3.018 given #119 (T,wt=7): 447 reds(x(0,s(s(0))),0). [ur(21,a,38,a,b,446,a)]. 3.018/3.018 3.018/3.018 given #120 (T,wt=8): 421 reds(U21(tt,x,0),x(0,x)). [ur(21,a,33,a,b,156,a)]. 3.018/3.018 3.018/3.018 given #121 (A,wt=13): 52 red(x(x,U12(tt,y,z)),x(x,s(plus(z,y)))). [ur(29,a,32,a)]. 3.018/3.018 3.018/3.018 given #122 (F,wt=13): 287 -red(U21(tt,c_M,c2),plus(plus(U21(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #123 (F,wt=13): 288 -red(U22(tt,c_M,c1),plus(plus(x(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #124 (F,wt=13): 289 -red(x(c2,s(c_M)),plus(plus(U21(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #125 (F,wt=13): 290 -red(U21(tt,c_M,c1),plus(plus(x(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #126 (T,wt=8): 450 reds(x(0,s(x)),x(0,x)). [ur(21,a,38,a,b,421,a)]. 3.018/3.018 3.018/3.018 given #127 (T,wt=9): 60 reds(U12(tt,x,y),s(plus(y,x))). [ur(21,a,32,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #128 (T,wt=9): 70 reds(U21(tt,x,y),U22(tt,x,y)). [ur(21,a,33,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #129 (T,wt=9): 82 red(x(x,plus(y,0)),x(x,y)). [ur(29,a,35,a)]. 3.018/3.018 3.018/3.018 given #130 (A,wt=13): 53 red(x(U12(tt,x,y),z),x(s(plus(y,x)),z)). [ur(28,a,32,a)]. 3.018/3.018 3.018/3.018 given #131 (F,wt=9): 467 -reds(x(c2,s(c_M)),U22(tt,c_M,c1)). [resolve(70,a,40,b)]. 3.018/3.018 3.018/3.018 given #132 (F,wt=9): 501 -red(x(c2,s(c_M)),U22(tt,c_M,c1)). [ur(21,b,20,a,c,467,a)]. 3.018/3.018 3.018/3.018 given #133 (F,wt=9): 502 -reds(U21(tt,c_M,c2),U22(tt,c_M,c1)). [ur(21,a,38,a,c,467,a)]. 3.018/3.018 3.018/3.018 given #134 (F,wt=9): 506 -red(U21(tt,c_M,c2),U22(tt,c_M,c1)). [ur(21,b,20,a,c,502,a)]. 3.018/3.018 3.018/3.018 given #135 (T,wt=7): 485 reds(x(x,plus(0,0)),0). [ur(21,a,82,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #136 (T,wt=8): 482 reds(x(0,plus(s(0),0)),0). [ur(21,a,82,a,b,295,a)]. 3.018/3.018 3.018/3.018 given #137 (T,wt=9): 83 red(x(plus(x,0),y),x(x,y)). [ur(28,a,35,a)]. 3.018/3.018 3.018/3.018 given #138 (T,wt=8): 525 reds(x(plus(0,0),s(0)),0). [ur(21,a,83,a,b,295,a)]. 3.018/3.018 3.018/3.018 given #139 (A,wt=13): 54 red(plus(x,U12(tt,y,z)),plus(x,s(plus(z,y)))). [ur(27,a,32,a)]. 3.018/3.018 3.018/3.018 given #140 (F,wt=9): 507 -reds(U22(tt,c_M,c2),U22(tt,c_M,c1)). [ur(21,a,33,a,c,502,a)]. 3.018/3.018 3.018/3.018 given #141 (F,wt=9): 545 -red(U22(tt,c_M,c2),U22(tt,c_M,c1)). [ur(21,b,20,a,c,507,a)]. 3.018/3.018 3.018/3.018 given #142 (F,wt=10): 546 -reds(plus(x(c2,c_M),c2),U22(tt,c_M,c1)). [ur(21,a,34,a,c,507,a)]. 3.018/3.018 3.018/3.018 given #143 (F,wt=10): 550 -red(plus(x(c2,c_M),c2),U22(tt,c_M,c1)). [ur(21,b,20,a,c,546,a)]. 3.018/3.018 3.018/3.018 given #144 (T,wt=9): 84 red(plus(x,plus(y,0)),plus(x,y)). [ur(27,a,35,a)]. 3.018/3.018 3.018/3.018 given #145 (T,wt=7): 572 reds(plus(c1,plus(0,0)),c2). [ur(21,a,84,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #146 (T,wt=7): 573 reds(plus(x,plus(0,0)),x). [ur(21,a,84,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #147 (T,wt=9): 85 red(plus(plus(x,0),y),plus(x,y)). [ur(26,a,35,a)]. 3.018/3.018 3.018/3.018 given #148 (A,wt=13): 55 red(plus(U12(tt,x,y),z),plus(s(plus(y,x)),z)). [ur(26,a,32,a)]. 3.018/3.018 3.018/3.018 given #149 (F,wt=11): 500 -red(x(c2,s(c_M)),plus(U22(tt,c_M,c1),0)). [ur(21,b,90,a,c,467,a)]. 3.018/3.018 3.018/3.018 given #150 (F,wt=11): 505 -red(U21(tt,c_M,c2),plus(U22(tt,c_M,c1),0)). [ur(21,b,90,a,c,502,a)]. 3.018/3.018 3.018/3.018 given #151 (F,wt=11): 544 -red(U22(tt,c_M,c2),plus(U22(tt,c_M,c1),0)). [ur(21,b,90,a,c,507,a)]. 3.018/3.018 3.018/3.018 given #152 (F,wt=12): 498 -red(x(c2,s(c_M)),x) | -reds(x,U22(tt,c_M,c1)). [resolve(467,a,21,c)]. 3.018/3.018 3.018/3.018 given #153 (T,wt=9): 100 reds(plus(x,s(y)),U11(tt,y,x)). [ur(21,a,36,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #154 (T,wt=9): 102 red(x(x,x(y,0)),x(x,0)). [ur(29,a,37,a)]. 3.018/3.018 3.018/3.018 given #155 (T,wt=7): 642 reds(x(x,x(y,0)),0). [ur(21,a,102,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #156 (T,wt=9): 103 red(x(x(x,0),y),x(0,y)). [ur(28,a,37,a)]. 3.018/3.018 3.018/3.018 given #157 (A,wt=15): 56 red(U22(U12(tt,x,y),z,u),U22(s(plus(y,x)),z,u)). [ur(25,a,32,a)]. 3.018/3.018 3.018/3.018 given #158 (F,wt=12): 503 -red(U21(tt,c_M,c2),x) | -reds(x,U22(tt,c_M,c1)). [resolve(502,a,21,c)]. 3.018/3.018 3.018/3.018 given #159 (F,wt=12): 542 -red(U22(tt,c_M,c2),x) | -reds(x,U22(tt,c_M,c1)). [resolve(507,a,21,c)]. 3.018/3.018 3.018/3.018 given #160 (F,wt=12): 549 -red(plus(x(c2,c_M),c2),plus(U22(tt,c_M,c1),0)). [ur(21,b,90,a,c,546,a)]. 3.018/3.018 3.018/3.018 given #161 (F,wt=12): 621 -reds(x(c2,x),U22(tt,c_M,c1)) | -red(s(c_M),x). [resolve(498,a,29,b)]. 3.018/3.018 3.018/3.018 given #162 (T,wt=8): 658 reds(x(x(x,0),s(0)),0). [ur(21,a,103,a,b,295,a)]. 3.018/3.018 3.018/3.018 given #163 (T,wt=9): 104 red(plus(x,x(y,0)),plus(x,0)). [ur(27,a,37,a)]. 3.018/3.018 3.018/3.018 given #164 (T,wt=7): 696 reds(plus(c1,x(x,0)),c2). [ur(21,a,104,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #165 (T,wt=7): 697 reds(plus(x,x(y,0)),x). [ur(21,a,104,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #166 (A,wt=15): 57 red(U21(U12(tt,x,y),z,u),U21(s(plus(y,x)),z,u)). [ur(24,a,32,a)]. 3.018/3.018 3.018/3.018 given #167 (F,wt=12): 622 -reds(x(x,s(c_M)),U22(tt,c_M,c1)) | -red(c2,x). [resolve(498,a,28,b)]. 3.018/3.018 3.018/3.018 given #168 (F,wt=12): 671 -reds(U21(x,c_M,c2),U22(tt,c_M,c1)) | -red(tt,x). [resolve(503,a,24,b)]. 3.018/3.018 3.018/3.018 given #169 (F,wt=12): 673 -reds(U22(x,c_M,c2),U22(tt,c_M,c1)) | -red(tt,x). [resolve(542,a,25,b)]. 3.018/3.018 3.018/3.018 given #170 (F,wt=12): 676 -reds(x(c2,s(x)),U22(tt,c_M,c1)) | -red(c_M,x). [resolve(621,b,30,b)]. 3.018/3.018 3.018/3.018 given #171 (T,wt=9): 105 red(plus(x(x,0),y),plus(0,y)). [ur(26,a,37,a)]. 3.018/3.018 3.018/3.018 given #172 (T,wt=9): 120 reds(x(x,s(y)),U21(tt,y,x)). [ur(21,a,38,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #173 (T,wt=9): 126 red(U22(c1,x,y),U22(c2,x,y)). [ur(25,a,39,a)]. 3.018/3.018 3.018/3.018 given #174 (T,wt=9): 127 red(U21(c1,x,y),U21(c2,x,y)). [ur(24,a,39,a)]. 3.018/3.018 3.018/3.018 given #175 (A,wt=15): 58 red(U12(U12(tt,x,y),z,u),U12(s(plus(y,x)),z,u)). [ur(23,a,32,a)]. 3.018/3.018 3.018/3.018 given #176 (F,wt=3): 745 -red(c2,c1). [resolve(120,a,334,a)]. 3.018/3.018 3.018/3.018 given #177 (F,wt=9): 747 -red(U22(tt,c_M,c2),x(c1,s(c_M))). [resolve(120,a,218,b)]. 3.018/3.018 3.018/3.018 given #178 (F,wt=9): 748 -red(U21(tt,c_M,c2),x(c1,s(c_M))). [resolve(120,a,181,b)]. 3.018/3.018 3.018/3.018 given #179 (F,wt=9): 749 -red(x(c2,s(c_M)),x(c1,s(c_M))). [resolve(120,a,148,b)]. 3.018/3.018 3.018/3.018 given #180 (T,wt=9): 128 red(U12(c1,x,y),U12(c2,x,y)). [ur(23,a,39,a)]. 3.018/3.018 3.018/3.018 given #181 (T,wt=9): 129 red(U11(c1,x,y),U11(c2,x,y)). [ur(22,a,39,a)]. 3.018/3.018 3.018/3.018 given #182 (T,wt=9): 162 red(x(x,s(c1)),x(x,s(c2))). [ur(29,a,121,a)]. 3.018/3.018 3.018/3.018 given #183 (T,wt=8): 818 reds(x(0,s(c1)),x(0,c2)). [ur(21,a,162,a,b,450,a)]. 3.018/3.018 3.018/3.018 given #184 (A,wt=15): 59 red(U11(U12(tt,x,y),z,u),U11(s(plus(y,x)),z,u)). [ur(22,a,32,a)]. 3.018/3.018 3.018/3.018 given #185 (F,wt=9): 750 -reds(U21(tt,c_M,c1),U21(tt,c_M,c2)). [resolve(120,a,40,a)]. 3.018/3.018 3.018/3.018 given #186 (F,wt=9): 841 -red(U21(tt,c_M,c1),U21(tt,c_M,c2)). [ur(21,b,20,a,c,750,a)]. 3.018/3.018 3.018/3.018 given #187 (F,wt=9): 842 -reds(U22(tt,c_M,c1),U21(tt,c_M,c2)). [ur(21,a,33,a,c,750,a)]. 3.018/3.018 3.018/3.018 given #188 (F,wt=9): 848 -red(U22(tt,c_M,c1),U21(tt,c_M,c2)). [ur(21,b,20,a,c,842,a)]. 3.018/3.018 3.018/3.018 given #189 (T,wt=9): 163 red(x(s(c1),x),x(s(c2),x)). [ur(28,a,121,a)]. 3.018/3.018 3.018/3.018 given #190 (T,wt=9): 164 red(plus(x,s(c1)),plus(x,s(c2))). [ur(27,a,121,a)]. 3.018/3.018 3.018/3.018 given #191 (T,wt=9): 165 red(plus(s(c1),x),plus(s(c2),x)). [ur(26,a,121,a)]. 3.018/3.018 3.018/3.018 given #192 (T,wt=9): 187 red(s(s(plus(x,0))),s(s(x))). [ur(30,a,81,a)]. 3.018/3.018 3.018/3.018 given #193 (A,wt=11): 61 red(s(U21(tt,x,y)),s(U22(tt,x,y))). [ur(30,a,33,a)]. 3.018/3.018 3.018/3.018 given #194 (F,wt=10): 746 -red(plus(x(c2,c_M),c2),x(c1,s(c_M))). [resolve(120,a,225,b)]. 3.018/3.018 3.018/3.018 given #195 (F,wt=10): 849 -reds(plus(x(c1,c_M),c1),U21(tt,c_M,c2)). [ur(21,a,34,a,c,842,a)]. 3.018/3.018 3.018/3.018 given #196 (F,wt=10): 913 -red(plus(x(c1,c_M),c1),U21(tt,c_M,c2)). [ur(21,b,20,a,c,849,a)]. 3.018/3.018 3.018/3.018 given #197 (F,wt=10): 914 -reds(plus(x(c1,c_M),c2),U21(tt,c_M,c2)). [ur(21,a,124,a,c,849,a)]. 3.018/3.018 3.018/3.018 given #198 (T,wt=9): 198 red(s(s(x(x,0))),s(s(0))). [ur(30,a,101,a)]. 3.018/3.018 3.018/3.018 given #199 (T,wt=9): 228 red(s(x(x,c1)),s(x(x,c2))). [ur(30,a,122,a)]. 3.018/3.018 3.018/3.018 given #200 (T,wt=9): 238 red(s(x(c1,x)),s(x(c2,x))). [ur(30,a,123,a)]. 3.018/3.018 3.018/3.018 given #201 (T,wt=9): 248 red(s(plus(x,c1)),s(plus(x,c2))). [ur(30,a,124,a)]. 3.018/3.018 3.018/3.018 given #202 (A,wt=13): 62 red(x(x,U21(tt,y,z)),x(x,U22(tt,y,z))). [ur(29,a,33,a)]. 3.018/3.018 3.018/3.018 given #203 (F,wt=10): 920 -red(plus(x(c1,c_M),c2),U21(tt,c_M,c2)). [ur(21,b,20,a,c,914,a)]. 3.018/3.018 3.018/3.018 given #204 (F,wt=11): 840 -red(U21(tt,c_M,c1),plus(U21(tt,c_M,c2),0)). [ur(21,b,90,a,c,750,a)]. 3.018/3.018 3.018/3.018 given #205 (F,wt=11): 847 -red(U22(tt,c_M,c1),plus(U21(tt,c_M,c2),0)). [ur(21,b,90,a,c,842,a)]. 3.018/3.018 3.018/3.018 given #206 (F,wt=12): 836 -red(U21(tt,c_M,c1),x) | -reds(x,U21(tt,c_M,c2)). [resolve(750,a,21,c)]. 3.018/3.018 3.018/3.018 given #207 (T,wt=9): 259 red(s(plus(c1,x)),s(plus(c2,x))). [ur(30,a,125,a)]. 3.018/3.018 3.018/3.018 given #208 (T,wt=9): 282 reds(plus(plus(plus(x,0),0),0),x). [ur(21,a,35,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #209 (T,wt=9): 291 reds(plus(plus(x(x,0),0),0),0). [ur(21,a,35,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #210 (T,wt=9): 309 red(s(s(s(c1))),s(s(s(c2)))). [ur(30,a,161,a)]. 3.018/3.018 3.018/3.018 given #211 (A,wt=13): 63 red(x(U21(tt,x,y),z),x(U22(tt,x,y),z)). [ur(28,a,33,a)]. 3.018/3.018 3.018/3.018 given #212 (F,wt=12): 843 -red(U22(tt,c_M,c1),x) | -reds(x,U21(tt,c_M,c2)). [resolve(842,a,21,c)]. 3.018/3.018 3.018/3.018 given #213 (F,wt=12): 912 -red(plus(x(c1,c_M),c1),plus(U21(tt,c_M,c2),0)). [ur(21,b,90,a,c,849,a)]. 3.018/3.018 3.018/3.018 given #214 (F,wt=12): 919 -red(plus(x(c1,c_M),c2),plus(U21(tt,c_M,c2),0)). [ur(21,b,90,a,c,914,a)]. 3.018/3.018 3.018/3.018 given #215 (F,wt=12): 972 -reds(U21(x,c_M,c1),U21(tt,c_M,c2)) | -red(tt,x). [resolve(836,a,24,b)]. 3.018/3.018 3.018/3.018 given #216 (T,wt=9): 319 reds(plus(plus(plus(c1,0),0),0),c2). [ur(21,a,35,a,b,185,a)]. 3.018/3.018 3.018/3.018 given #217 (T,wt=9): 320 reds(plus(plus(s(c1),0),0),s(c2)). [ur(21,a,35,a,b,186,a)]. 3.018/3.018 3.018/3.018 given #218 (T,wt=9): 338 reds(s(plus(plus(c1,0),0)),s(c2)). [ur(21,a,81,a,b,196,a)]. 3.018/3.018 3.018/3.018 given #219 (T,wt=9): 339 reds(plus(s(plus(c1,0)),0),s(c2)). [ur(21,a,35,a,b,196,a)]. 3.018/3.018 3.018/3.018 given #220 (A,wt=13): 64 red(plus(x,U21(tt,y,z)),plus(x,U22(tt,y,z))). [ur(27,a,33,a)]. 3.018/3.018 3.018/3.018 given #221 (F,wt=12): 1028 -reds(U22(x,c_M,c1),U21(tt,c_M,c2)) | -red(tt,x). [resolve(843,a,25,b)]. 3.018/3.018 3.018/3.018 given #222 (F,wt=13): 436 -reds(plus(x(c1,c_M),x),x(c2,s(c_M))) | -red(c1,x). [resolve(222,a,27,b)]. 3.018/3.018 3.018/3.018 given #223 (F,wt=13): 437 -reds(plus(x,c1),x(c2,s(c_M))) | -red(x(c1,c_M),x). [resolve(222,a,26,b)]. 3.018/3.018 3.018/3.018 given #224 (F,wt=10): 1057 -reds(plus(x(c2,c_M),c1),x(c2,s(c_M))). [resolve(437,b,123,a)]. 3.018/3.018 3.018/3.018 given #225 (T,wt=9): 341 reds(s(plus(plus(x,0),0)),s(x)). [ur(21,a,81,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #226 (T,wt=9): 342 reds(plus(s(plus(x,0)),0),s(x)). [ur(21,a,35,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #227 (T,wt=9): 344 reds(s(plus(x(x,0),0)),s(0)). [ur(21,a,81,a,b,207,a)]. 3.018/3.018 3.018/3.018 given #228 (T,wt=9): 345 reds(plus(s(x(x,0)),0),s(0)). [ur(21,a,35,a,b,207,a)]. 3.018/3.018 3.018/3.018 given #229 (A,wt=13): 65 red(plus(U21(tt,x,y),z),plus(U22(tt,x,y),z)). [ur(26,a,33,a)]. 3.018/3.018 3.018/3.018 given #230 (F,wt=10): 1064 -red(plus(x(c2,c_M),c1),x(c1,s(c_M))). [ur(21,b,247,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #231 (F,wt=10): 1067 -red(plus(x(c2,c_M),c1),x(c2,s(c_M))). [ur(21,b,20,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #232 (F,wt=10): 1068 -reds(plus(x(c2,c_M),c2),x(c2,s(c_M))). [ur(21,a,124,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #233 (F,wt=10): 1102 -red(plus(x(c2,c_M),c2),x(c2,s(c_M))). [ur(21,b,20,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #234 (T,wt=9): 348 reds(plus(x(x,c1),0),x(x,c2)). [ur(21,a,35,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #235 (T,wt=8): 1106 reds(U22(tt,c1,0),x(0,c2)). [ur(21,a,34,a,b,348,a)]. 3.018/3.018 3.018/3.018 given #236 (T,wt=8): 1108 reds(U21(tt,c1,0),x(0,c2)). [ur(21,a,33,a,b,1106,a)]. 3.018/3.018 3.018/3.018 given #237 (T,wt=9): 366 reds(plus(x(c1,x),0),x(c2,x)). [ur(21,a,35,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #238 (A,wt=15): 66 red(U22(U21(tt,x,y),z,u),U22(U22(tt,x,y),z,u)). [ur(25,a,33,a)]. 3.018/3.018 3.018/3.018 given #239 (F,wt=11): 1112 -red(U22(tt,c_M,c1),plus(x(c1,s(c_M)),0)). [resolve(366,a,151,b)]. 3.018/3.018 3.018/3.018 given #240 (F,wt=11): 1113 -red(U21(tt,c_M,c1),plus(x(c1,s(c_M)),0)). [resolve(366,a,145,b)]. 3.018/3.018 3.018/3.018 given #241 (F,wt=12): 1066 -red(plus(x(c2,c_M),c1),plus(x(c2,s(c_M)),0)). [ur(21,b,90,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #242 (F,wt=12): 1101 -red(plus(x(c2,c_M),c2),plus(x(c2,s(c_M)),0)). [ur(21,b,90,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #243 (T,wt=9): 371 reds(plus(plus(x,c1),0),plus(x,c2)). [ur(21,a,35,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #244 (T,wt=9): 374 reds(plus(plus(c1,x),0),plus(c2,x)). [ur(21,a,35,a,b,268,a)]. 3.018/3.018 3.018/3.018 given #245 (T,wt=9): 375 reds(s(plus(s(c1),0)),s(s(c2))). [ur(21,a,81,a,b,318,a)]. 3.018/3.018 3.018/3.018 given #246 (T,wt=9): 376 reds(plus(s(s(c1)),0),s(s(c2))). [ur(21,a,35,a,b,318,a)]. 3.018/3.018 3.018/3.018 given #247 (A,wt=15): 67 red(U21(U21(tt,x,y),z,u),U21(U22(tt,x,y),z,u)). [ur(24,a,33,a)]. 3.018/3.018 3.018/3.018 given #248 (F,wt=12): 1110 -red(plus(x(c1,c_M),c2),plus(x(c1,s(c_M)),0)). [resolve(366,a,279,b)]. 3.018/3.018 3.018/3.018 given #249 (F,wt=12): 1111 -red(plus(x(c1,c_M),c1),plus(x(c1,s(c_M)),0)). [resolve(366,a,222,b)]. 3.018/3.018 3.018/3.018 given #250 (F,wt=12): 1117 -red(plus(x(c2,c_M),c2),plus(x(c1,s(c_M)),0)). [ur(21,b,366,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #251 (F,wt=12): 1118 -red(plus(x(c2,c_M),c1),plus(x(c1,s(c_M)),0)). [ur(21,b,366,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #252 (T,wt=9): 387 reds(plus(U12(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,340,a)]. 3.018/3.018 3.018/3.018 given #253 (T,wt=9): 389 reds(plus(U12(tt,0,x),0),s(x)). [ur(21,a,35,a,b,343,a)]. 3.018/3.018 3.018/3.018 given #254 (T,wt=9): 391 reds(plus(x(c1,c1),0),x(c2,c2)). [ur(21,a,35,a,b,346,a)]. 3.018/3.018 3.018/3.018 given #255 (T,wt=9): 392 reds(plus(plus(c1,c1),0),plus(c2,c2)). [ur(21,a,35,a,b,369,a)]. 3.018/3.018 3.018/3.018 given #256 (A,wt=15): 68 red(U12(U21(tt,x,y),z,u),U12(U22(tt,x,y),z,u)). [ur(23,a,33,a)]. 3.018/3.018 3.018/3.018 given #257 (F,wt=13): 439 -reds(plus(x(c2,c_M),x),U21(tt,c_M,c1)) | -red(c2,x). [resolve(225,a,27,b)]. 3.018/3.018 3.018/3.018 given #258 (F,wt=13): 440 -reds(plus(x,c2),U21(tt,c_M,c1)) | -red(x(c2,c_M),x). [resolve(225,a,26,b)]. 3.018/3.018 3.018/3.018 given #259 (F,wt=13): 442 -reds(plus(x(c1,c_M),x),x(c2,s(c_M))) | -red(c2,x). [resolve(279,a,27,b)]. 3.018/3.018 3.018/3.018 given #260 (F,wt=13): 443 -reds(plus(x,c2),x(c2,s(c_M))) | -red(x(c1,c_M),x). [resolve(279,a,26,b)]. 3.018/3.018 3.018/3.018 given #261 (T,wt=9): 408 reds(plus(U11(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #262 (T,wt=9): 410 reds(plus(U11(tt,0,x),0),s(x)). [ur(21,a,35,a,b,390,a)]. 3.018/3.018 3.018/3.018 given #263 (T,wt=9): 411 reds(plus(plus(c1,s(0)),0),s(c2)). [ur(21,a,35,a,b,407,a)]. 3.018/3.018 3.018/3.018 given #264 (T,wt=9): 413 reds(plus(plus(x,s(0)),0),s(x)). [ur(21,a,35,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #265 (A,wt=15): 69 red(U11(U21(tt,x,y),z,u),U11(U22(tt,x,y),z,u)). [ur(22,a,33,a)]. 3.018/3.018 3.018/3.018 given #266 (F,wt=13): 499 -red(x(c2,s(c_M)),plus(plus(U22(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,467,a)]. 3.018/3.018 3.018/3.018 given #267 (F,wt=13): 504 -red(U21(tt,c_M,c2),plus(plus(U22(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,502,a)]. 3.018/3.018 3.018/3.018 given #268 (F,wt=13): 543 -red(U22(tt,c_M,c2),plus(plus(U22(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,507,a)]. 3.018/3.018 3.018/3.018 given #269 (F,wt=13): 547 -red(plus(x(c2,c_M),c2),x) | -reds(x,U22(tt,c_M,c1)). [resolve(546,a,21,c)]. 3.018/3.018 3.018/3.018 given #270 (T,wt=9): 415 reds(plus(x,s(y)),U12(tt,y,x)). [ur(21,a,36,a,b,50,a)]. 3.018/3.018 3.018/3.018 given #271 (T,wt=9): 445 reds(plus(U22(tt,s(0),0),0),0). [ur(21,a,35,a,b,425,a)]. 3.018/3.018 3.018/3.018 given #272 (T,wt=9): 448 reds(plus(U21(tt,s(0),0),0),0). [ur(21,a,35,a,b,446,a)]. 3.018/3.018 3.018/3.018 given #273 (T,wt=9): 449 reds(plus(x(0,s(s(0))),0),0). [ur(21,a,35,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #274 (A,wt=12): 71 red(s(U22(tt,x,y)),s(plus(x(y,x),y))). [ur(30,a,34,a)]. 3.018/3.018 3.018/3.018 given #275 (F,wt=13): 580 -red(U22(tt,c_M,c2),plus(U21(tt,c_M,c1),plus(0,0))). [resolve(573,a,218,b)]. 3.018/3.018 3.018/3.018 given #276 (F,wt=13): 581 -red(U21(tt,c_M,c2),plus(U21(tt,c_M,c1),plus(0,0))). [resolve(573,a,181,b)]. 3.018/3.018 3.018/3.018 given #277 (F,wt=13): 582 -red(U22(tt,c_M,c1),plus(x(c2,s(c_M)),plus(0,0))). [resolve(573,a,151,b)]. 3.018/3.018 3.018/3.018 given #278 (F,wt=13): 583 -red(x(c2,s(c_M)),plus(U21(tt,c_M,c1),plus(0,0))). [resolve(573,a,148,b)]. 3.018/3.018 3.018/3.018 given #279 (T,wt=8): 1227 reds(U22(tt,s(s(0)),0),0). [ur(21,a,34,a,b,449,a)]. 3.018/3.018 3.018/3.018 given #280 (T,wt=8): 1237 reds(s(U22(tt,0,0)),s(0)). [ur(21,a,71,a,b,344,a)]. 3.018/3.018 3.018/3.018 given #281 (T,wt=8): 1241 reds(U21(tt,s(s(0)),0),0). [ur(21,a,33,a,b,1227,a)]. 3.018/3.018 3.018/3.018 given #282 (T,wt=8): 1243 reds(s(U21(tt,0,0)),s(0)). [ur(21,a,61,a,b,1237,a)]. 3.018/3.018 3.018/3.018 given #283 (A,wt=14): 72 red(x(x,U22(tt,y,z)),x(x,plus(x(z,y),z))). [ur(29,a,34,a)]. 3.018/3.018 3.018/3.018 given #284 (F,wt=13): 584 -red(U21(tt,c_M,c1),plus(x(c2,s(c_M)),plus(0,0))). [resolve(573,a,145,b)]. 3.018/3.018 3.018/3.018 given #285 (F,wt=13): 590 -red(U22(tt,c_M,c2),plus(U22(tt,c_M,c1),plus(0,0))). [ur(21,b,573,a,c,507,a)]. 3.018/3.018 3.018/3.018 given #286 (F,wt=13): 591 -red(U21(tt,c_M,c2),plus(U22(tt,c_M,c1),plus(0,0))). [ur(21,b,573,a,c,502,a)]. 3.018/3.018 3.018/3.018 given #287 (F,wt=13): 592 -red(x(c2,s(c_M)),plus(U22(tt,c_M,c1),plus(0,0))). [ur(21,b,573,a,c,467,a)]. 3.018/3.018 3.018/3.018 given #288 (T,wt=8): 1245 reds(x(0,s(s(s(0)))),0). [ur(21,a,38,a,b,1241,a)]. 3.018/3.018 3.018/3.018 given #289 (T,wt=9): 466 reds(U11(tt,x,y),s(plus(y,x))). [ur(21,a,31,a,b,60,a)]. 3.018/3.018 3.018/3.018 given #290 (T,wt=9): 468 reds(x(x,s(y)),U22(tt,y,x)). [ur(21,a,38,a,b,70,a)]. 3.018/3.018 3.018/3.018 given #291 (T,wt=9): 480 reds(x(0,plus(s(s(0)),0)),0). [ur(21,a,82,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #292 (A,wt=14): 73 red(x(U22(tt,x,y),z),x(plus(x(y,x),y),z)). [ur(28,a,34,a)]. 3.018/3.018 3.018/3.018 given #293 (F,wt=9): 1266 -reds(U21(tt,c_M,c1),U22(tt,c_M,c2)). [resolve(468,a,40,a)]. 3.018/3.018 3.018/3.018 given #294 (F,wt=9): 1301 -red(U21(tt,c_M,c1),U22(tt,c_M,c2)). [ur(21,b,20,a,c,1266,a)]. 3.018/3.018 3.018/3.018 given #295 (F,wt=9): 1302 -reds(U22(tt,c_M,c1),U22(tt,c_M,c2)). [ur(21,a,33,a,c,1266,a)]. 3.018/3.018 3.018/3.018 given #296 (F,wt=9): 1309 -red(U22(tt,c_M,c1),U22(tt,c_M,c2)). [ur(21,b,20,a,c,1302,a)]. 3.018/3.018 3.018/3.018 given #297 (T,wt=9): 481 reds(x(c1,plus(c1,0)),x(c2,c2)). [ur(21,a,82,a,b,346,a)]. 3.018/3.018 3.018/3.018 given #298 (T,wt=9): 483 reds(x(c1,plus(x,0)),x(c2,x)). [ur(21,a,82,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #299 (T,wt=9): 484 reds(x(x,plus(c1,0)),x(x,c2)). [ur(21,a,82,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #300 (T,wt=9): 486 reds(x(x,plus(y,0)),x(x,y)). [ur(21,a,82,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #301 (A,wt=14): 74 red(plus(x,U22(tt,y,z)),plus(x,plus(x(z,y),z))). [ur(27,a,34,a)]. 3.018/3.018 3.018/3.018 given #302 (F,wt=10): 1310 -reds(plus(x(c1,c_M),c1),U22(tt,c_M,c2)). [ur(21,a,34,a,c,1302,a)]. 3.018/3.018 3.018/3.018 given #303 (F,wt=10): 1366 -red(plus(x(c1,c_M),c1),U22(tt,c_M,c2)). [ur(21,b,20,a,c,1310,a)]. 3.018/3.018 3.018/3.018 given #304 (F,wt=10): 1367 -reds(plus(x(c1,c_M),c2),U22(tt,c_M,c2)). [ur(21,a,124,a,c,1310,a)]. 3.018/3.018 3.018/3.018 given #305 (F,wt=10): 1374 -red(plus(x(c1,c_M),c2),U22(tt,c_M,c2)). [ur(21,b,20,a,c,1367,a)]. 3.018/3.018 3.018/3.018 given #306 (T,wt=9): 508 reds(x(x,plus(plus(0,0),0)),0). [ur(21,a,82,a,b,485,a)]. 3.018/3.018 3.018/3.018 given #307 (T,wt=9): 509 reds(plus(x(x,plus(0,0)),0),0). [ur(21,a,35,a,b,485,a)]. 3.018/3.018 3.018/3.018 given #308 (T,wt=8): 1380 reds(U22(tt,plus(0,0),0),0). [ur(21,a,34,a,b,509,a)]. 3.018/3.018 3.018/3.018 given #309 (T,wt=8): 1382 reds(U21(tt,plus(0,0),0),0). [ur(21,a,33,a,b,1380,a)]. 3.018/3.018 3.018/3.018 given #310 (A,wt=14): 75 red(plus(U22(tt,x,y),z),plus(plus(x(y,x),y),z)). [ur(26,a,34,a)]. 3.018/3.018 3.018/3.018 given #311 (F,wt=11): 1300 -red(U21(tt,c_M,c1),plus(U22(tt,c_M,c2),0)). [ur(21,b,90,a,c,1266,a)]. 3.018/3.018 3.018/3.018 given #312 (F,wt=11): 1308 -red(U22(tt,c_M,c1),plus(U22(tt,c_M,c2),0)). [ur(21,b,90,a,c,1302,a)]. 3.018/3.018 3.018/3.018 given #313 (F,wt=11): 1316 -red(U22(tt,c_M,c1),x(c1,plus(s(c_M),0))). [resolve(483,a,151,b)]. 3.018/3.018 3.018/3.018 given #314 (F,wt=11): 1317 -red(U21(tt,c_M,c1),x(c1,plus(s(c_M),0))). [resolve(483,a,145,b)]. 3.018/3.018 3.018/3.018 given #315 (T,wt=8): 1383 reds(x(0,s(plus(0,0))),0). [ur(21,a,38,a,b,1382,a)]. 3.018/3.018 3.018/3.018 given #316 (T,wt=8): 1407 reds(x(0,U12(tt,0,0)),0). [ur(21,a,52,a,b,1383,a)]. 3.018/3.018 3.018/3.018 given #317 (T,wt=8): 1412 reds(x(0,U11(tt,0,0)),0). [ur(21,a,42,a,b,1407,a)]. 3.018/3.018 3.018/3.018 given #318 (T,wt=9): 523 reds(x(plus(0,0),s(s(0))),0). [ur(21,a,83,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #319 (A,wt=16): 76 red(U22(U22(tt,x,y),z,u),U22(plus(x(y,x),y),z,u)). [ur(25,a,34,a)]. 3.018/3.018 3.018/3.018 given #320 (F,wt=11): 1335 -red(U22(tt,c_M,c1),x(c2,plus(s(c_M),0))). [resolve(486,a,151,b)]. 3.018/3.018 3.018/3.018 given #321 (F,wt=11): 1336 -red(U21(tt,c_M,c1),x(c2,plus(s(c_M),0))). [resolve(486,a,145,b)]. 3.018/3.018 3.018/3.018 given #322 (F,wt=12): 1295 -red(U21(tt,c_M,c1),x) | -reds(x,U22(tt,c_M,c2)). [resolve(1266,a,21,c)]. 3.018/3.018 3.018/3.018 given #323 (F,wt=12): 1303 -red(U22(tt,c_M,c1),x) | -reds(x,U22(tt,c_M,c2)). [resolve(1302,a,21,c)]. 3.018/3.018 3.018/3.018 given #324 (T,wt=9): 524 reds(x(plus(c1,0),c1),x(c2,c2)). [ur(21,a,83,a,b,346,a)]. 3.018/3.018 3.018/3.018 given #325 (T,wt=9): 526 reds(x(plus(c1,0),x),x(c2,x)). [ur(21,a,83,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #326 (T,wt=9): 527 reds(x(plus(x,0),c1),x(x,c2)). [ur(21,a,83,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #327 (T,wt=9): 528 reds(x(plus(x,0),y),x(x,y)). [ur(21,a,83,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #328 (A,wt=16): 77 red(U21(U22(tt,x,y),z,u),U21(plus(x(y,x),y),z,u)). [ur(24,a,34,a)]. 3.018/3.018 3.018/3.018 given #329 (F,wt=11): 1438 -red(U22(tt,c_M,c1),x(plus(c1,0),s(c_M))). [resolve(526,a,151,b)]. 3.018/3.018 3.018/3.018 given #330 (F,wt=11): 1439 -red(U21(tt,c_M,c1),x(plus(c1,0),s(c_M))). [resolve(526,a,145,b)]. 3.018/3.018 3.018/3.018 given #331 (F,wt=11): 1455 -red(U22(tt,c_M,c1),x(plus(c2,0),s(c_M))). [resolve(528,a,151,b)]. 3.018/3.018 3.018/3.018 given #332 (F,wt=11): 1456 -red(U21(tt,c_M,c1),x(plus(c2,0),s(c_M))). [resolve(528,a,145,b)]. 3.018/3.018 3.018/3.018 given #333 (T,wt=9): 560 reds(plus(x,plus(s(0),0)),s(x)). [ur(21,a,84,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #334 (T,wt=9): 561 reds(plus(c1,plus(s(0),0)),s(c2)). [ur(21,a,84,a,b,407,a)]. 3.018/3.018 3.018/3.018 given #335 (T,wt=9): 562 reds(plus(c1,plus(c1,0)),plus(c2,c2)). [ur(21,a,84,a,b,369,a)]. 3.018/3.018 3.018/3.018 given #336 (T,wt=9): 566 reds(plus(c1,plus(x,0)),plus(c2,x)). [ur(21,a,84,a,b,268,a)]. 3.018/3.018 3.018/3.018 given #337 (A,wt=16): 78 red(U12(U22(tt,x,y),z,u),U12(plus(x(y,x),y),z,u)). [ur(23,a,34,a)]. 3.018/3.018 3.018/3.018 given #338 (F,wt=12): 1314 -red(plus(x(c1,c_M),c2),x(c1,plus(s(c_M),0))). [resolve(483,a,279,b)]. 3.018/3.018 3.018/3.018 given #339 (F,wt=12): 1315 -red(plus(x(c1,c_M),c1),x(c1,plus(s(c_M),0))). [resolve(483,a,222,b)]. 3.018/3.018 3.018/3.018 given #340 (F,wt=12): 1322 -red(plus(x(c2,c_M),c2),x(c1,plus(s(c_M),0))). [ur(21,b,483,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #341 (F,wt=12): 1323 -red(plus(x(c2,c_M),c1),x(c1,plus(s(c_M),0))). [ur(21,b,483,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #342 (T,wt=9): 567 reds(plus(x,plus(c1,0)),plus(x,c2)). [ur(21,a,84,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #343 (T,wt=9): 568 reds(plus(s(c1),plus(0,0)),s(c2)). [ur(21,a,84,a,b,186,a)]. 3.018/3.018 3.018/3.018 given #344 (T,wt=9): 569 reds(plus(plus(c1,0),plus(0,0)),c2). [ur(21,a,84,a,b,185,a)]. 3.018/3.018 3.018/3.018 given #345 (T,wt=9): 570 reds(plus(x(x,0),plus(0,0)),0). [ur(21,a,84,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #346 (A,wt=16): 79 red(U11(U22(tt,x,y),z,u),U11(plus(x(y,x),y),z,u)). [ur(22,a,34,a)]. 3.018/3.018 3.018/3.018 given #347 (F,wt=12): 1333 -red(plus(x(c1,c_M),c2),x(c2,plus(s(c_M),0))). [resolve(486,a,279,b)]. 3.018/3.018 3.018/3.018 given #348 (F,wt=12): 1334 -red(plus(x(c1,c_M),c1),x(c2,plus(s(c_M),0))). [resolve(486,a,222,b)]. 3.018/3.018 3.018/3.018 given #349 (F,wt=12): 1347 -red(plus(x(c2,c_M),c2),x(c2,plus(s(c_M),0))). [ur(21,b,486,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #350 (F,wt=12): 1348 -red(plus(x(c2,c_M),c1),x(c2,plus(s(c_M),0))). [ur(21,b,486,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #351 (T,wt=8): 1524 reds(U22(tt,0,plus(0,0)),0). [ur(21,a,34,a,b,570,a)]. 3.018/3.018 3.018/3.018 given #352 (T,wt=8): 1536 reds(U21(tt,0,plus(0,0)),0). [ur(21,a,33,a,b,1524,a)]. 3.018/3.018 3.018/3.018 given #353 (T,wt=9): 571 reds(plus(plus(x,0),plus(0,0)),x). [ur(21,a,84,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #354 (T,wt=9): 574 reds(plus(x,plus(y,0)),plus(x,y)). [ur(21,a,84,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #355 (A,wt=10): 80 reds(U22(tt,x,y),plus(x(y,x),y)). [ur(21,a,34,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #356 (F,wt=12): 1365 -red(plus(x(c1,c_M),c1),plus(U22(tt,c_M,c2),0)). [ur(21,b,90,a,c,1310,a)]. 3.018/3.018 3.018/3.018 given #357 (F,wt=12): 1373 -red(plus(x(c1,c_M),c2),plus(U22(tt,c_M,c2),0)). [ur(21,b,90,a,c,1367,a)]. 3.018/3.018 3.018/3.018 given #358 (F,wt=12): 1430 -reds(U21(x,c_M,c1),U22(tt,c_M,c2)) | -red(tt,x). [resolve(1295,a,24,b)]. 3.018/3.018 3.018/3.018 given #359 (F,wt=12): 1432 -reds(U22(x,c_M,c1),U22(tt,c_M,c2)) | -red(tt,x). [resolve(1303,a,25,b)]. 3.018/3.018 3.018/3.018 given #360 (T,wt=9): 575 reds(plus(c1,plus(plus(0,0),0)),c2). [ur(21,a,84,a,b,572,a)]. 3.018/3.018 3.018/3.018 given #361 (T,wt=9): 576 reds(plus(plus(c1,plus(0,0)),0),c2). [ur(21,a,35,a,b,572,a)]. 3.018/3.018 3.018/3.018 given #362 (T,wt=9): 585 reds(plus(x,plus(plus(0,0),0)),x). [ur(21,a,84,a,b,573,a)]. 3.018/3.018 3.018/3.018 given #363 (T,wt=9): 587 reds(plus(plus(x,plus(0,0)),0),x). [ur(21,a,35,a,b,573,a)]. 3.018/3.018 3.018/3.018 given #364 (A,wt=11): 86 red(U22(plus(x,0),y,z),U22(x,y,z)). [ur(25,a,35,a)]. 3.018/3.018 3.018/3.018 given #365 (F,wt=12): 1436 -red(plus(x(c1,c_M),c2),x(plus(c1,0),s(c_M))). [resolve(526,a,279,b)]. 3.018/3.018 3.018/3.018 given #366 (F,wt=12): 1437 -red(plus(x(c1,c_M),c1),x(plus(c1,0),s(c_M))). [resolve(526,a,222,b)]. 3.018/3.018 3.018/3.018 given #367 (F,wt=12): 1448 -red(plus(x(c2,c_M),c2),x(plus(c1,0),s(c_M))). [ur(21,b,526,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #368 (F,wt=12): 1449 -red(plus(x(c2,c_M),c1),x(plus(c1,0),s(c_M))). [ur(21,b,526,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #369 (T,wt=8): 1651 reds(U22(plus(tt,0),0,0),0). [ur(21,a,86,a,b,292,a)]. 3.018/3.018 3.018/3.018 given #370 (T,wt=9): 602 reds(plus(plus(x,0),s(0)),s(x)). [ur(21,a,85,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #371 (T,wt=9): 603 reds(plus(plus(c1,0),s(0)),s(c2)). [ur(21,a,85,a,b,407,a)]. 3.018/3.018 3.018/3.018 given #372 (T,wt=9): 604 reds(plus(plus(c1,0),c1),plus(c2,c2)). [ur(21,a,85,a,b,369,a)]. 3.018/3.018 3.018/3.018 given #373 (A,wt=11): 87 red(U21(plus(x,0),y,z),U21(x,y,z)). [ur(24,a,35,a)]. 3.018/3.018 3.018/3.018 given #374 (F,wt=12): 1453 -red(plus(x(c1,c_M),c2),x(plus(c2,0),s(c_M))). [resolve(528,a,279,b)]. 3.018/3.018 3.018/3.018 given #375 (F,wt=12): 1454 -red(plus(x(c1,c_M),c1),x(plus(c2,0),s(c_M))). [resolve(528,a,222,b)]. 3.018/3.018 3.018/3.018 given #376 (F,wt=12): 1466 -red(plus(x(c2,c_M),c2),x(plus(c2,0),s(c_M))). [ur(21,b,528,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #377 (F,wt=12): 1467 -red(plus(x(c2,c_M),c1),x(plus(c2,0),s(c_M))). [ur(21,b,528,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #378 (T,wt=8): 1679 reds(U21(plus(tt,0),0,0),0). [ur(21,a,87,a,b,294,a)]. 3.018/3.018 3.018/3.018 given #379 (T,wt=9): 605 reds(plus(plus(c1,0),x),plus(c2,x)). [ur(21,a,85,a,b,268,a)]. 3.018/3.018 3.018/3.018 given #380 (T,wt=9): 606 reds(plus(plus(x,0),c1),plus(x,c2)). [ur(21,a,85,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #381 (T,wt=9): 607 reds(plus(plus(x,0),y),plus(x,y)). [ur(21,a,85,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #382 (A,wt=11): 88 red(U12(plus(x,0),y,z),U12(x,y,z)). [ur(23,a,35,a)]. 3.018/3.018 3.018/3.018 given #383 (F,wt=13): 701 -red(U22(tt,c_M,c2),plus(U22(tt,c_M,c1),x(x,0))). [resolve(697,a,542,b)]. 3.018/3.018 3.018/3.018 given #384 (F,wt=13): 702 -red(U21(tt,c_M,c2),plus(U22(tt,c_M,c1),x(x,0))). [resolve(697,a,503,b)]. 3.018/3.018 3.018/3.018 given #385 (F,wt=13): 703 -red(x(c2,s(c_M)),plus(U22(tt,c_M,c1),x(x,0))). [resolve(697,a,498,b)]. 3.018/3.018 3.018/3.018 given #386 (F,wt=13): 707 -red(U22(tt,c_M,c2),plus(U21(tt,c_M,c1),x(x,0))). [resolve(697,a,218,b)]. 3.018/3.018 3.018/3.018 given #387 (T,wt=9): 624 reds(plus(c1,s(x)),U11(tt,x,c2)). [ur(21,a,125,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #388 (T,wt=9): 641 reds(x(c1,x(x,0)),x(c2,0)). [ur(21,a,102,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #389 (T,wt=9): 643 reds(x(x,x(y,0)),x(x,0)). [ur(21,a,102,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #390 (T,wt=9): 644 reds(x(x,plus(x(y,0),0)),0). [ur(21,a,82,a,b,642,a)]. 3.018/3.018 3.018/3.018 given #391 (A,wt=11): 89 red(U11(plus(x,0),y,z),U11(x,y,z)). [ur(22,a,35,a)]. 3.018/3.018 3.018/3.018 given #392 (F,wt=13): 708 -red(U21(tt,c_M,c2),plus(U21(tt,c_M,c1),x(x,0))). [resolve(697,a,181,b)]. 3.018/3.018 3.018/3.018 given #393 (F,wt=13): 709 -red(U22(tt,c_M,c1),plus(x(c2,s(c_M)),x(x,0))). [resolve(697,a,151,b)]. 3.018/3.018 3.018/3.018 given #394 (F,wt=13): 710 -red(x(c2,s(c_M)),plus(U21(tt,c_M,c1),x(x,0))). [resolve(697,a,148,b)]. 3.018/3.018 3.018/3.018 given #395 (F,wt=13): 711 -red(U21(tt,c_M,c1),plus(x(c2,s(c_M)),x(x,0))). [resolve(697,a,145,b)]. 3.018/3.018 3.018/3.018 given #396 (T,wt=8): 1731 reds(x(x,U22(tt,0,0)),0). [ur(21,a,72,a,b,644,a)]. 3.018/3.018 3.018/3.018 given #397 (T,wt=8): 1748 reds(x(x,U21(tt,0,0)),0). [ur(21,a,62,a,b,1731,a)]. 3.018/3.018 3.018/3.018 given #398 (T,wt=9): 645 reds(plus(x(x,x(y,0)),0),0). [ur(21,a,35,a,b,642,a)]. 3.018/3.018 3.018/3.018 given #399 (T,wt=8): 1755 reds(U22(tt,x(x,0),0),0). [ur(21,a,34,a,b,645,a)]. 3.018/3.018 3.018/3.018 given #400 (A,wt=11): 91 red(s(plus(x,s(y))),s(U11(tt,y,x))). [ur(30,a,36,a)]. 3.018/3.018 3.018/3.018 given #401 (F,wt=13): 837 -red(U21(tt,c_M,c1),plus(U21(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,750,a)]. 3.018/3.018 3.018/3.018 given #402 (F,wt=13): 838 -red(U21(tt,c_M,c1),plus(U21(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,750,a)]. 3.018/3.018 3.018/3.018 given #403 (F,wt=13): 839 -red(U21(tt,c_M,c1),plus(plus(U21(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,750,a)]. 3.018/3.018 3.018/3.018 given #404 (F,wt=13): 844 -red(U22(tt,c_M,c1),plus(U21(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,842,a)]. 3.018/3.018 3.018/3.018 given #405 (T,wt=8): 1758 reds(U21(tt,x(x,0),0),0). [ur(21,a,33,a,b,1755,a)]. 3.018/3.018 3.018/3.018 given #406 (T,wt=8): 1770 reds(x(0,s(x(x,0))),0). [ur(21,a,38,a,b,1758,a)]. 3.018/3.018 3.018/3.018 given #407 (T,wt=9): 657 reds(x(x(x,0),s(s(0))),0). [ur(21,a,103,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #408 (T,wt=9): 659 reds(x(x(x,0),c1),x(0,c2)). [ur(21,a,103,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #409 (A,wt=13): 92 red(x(x,plus(y,s(z))),x(x,U11(tt,z,y))). [ur(29,a,36,a)]. 3.018/3.018 3.018/3.018 given #410 (F,wt=13): 845 -red(U22(tt,c_M,c1),plus(U21(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,842,a)]. 3.018/3.018 3.018/3.018 given #411 (F,wt=13): 846 -red(U22(tt,c_M,c1),plus(plus(U21(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,842,a)]. 3.018/3.018 3.018/3.018 given #412 (F,wt=13): 908 -red(plus(x(c1,c_M),c1),x) | -reds(x,U21(tt,c_M,c2)). [resolve(849,a,21,c)]. 3.018/3.018 3.018/3.018 given #413 (F,wt=13): 915 -red(plus(x(c1,c_M),c2),x) | -reds(x,U21(tt,c_M,c2)). [resolve(914,a,21,c)]. 3.018/3.018 3.018/3.018 given #414 (T,wt=8): 1789 reds(x(0,plus(0,s(0))),0). [ur(21,a,92,a,b,1412,a)]. 3.018/3.018 3.018/3.018 given #415 (T,wt=9): 660 reds(x(x(x,0),y),x(0,y)). [ur(21,a,103,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #416 (T,wt=9): 691 reds(plus(c1,x(x,0)),plus(c2,0)). [ur(21,a,104,a,b,268,a)]. 3.018/3.018 3.018/3.018 given #417 (T,wt=9): 692 reds(plus(s(c1),x(x,0)),s(c2)). [ur(21,a,104,a,b,186,a)]. 3.018/3.018 3.018/3.018 given #418 (A,wt=13): 93 red(x(plus(x,s(y)),z),x(U11(tt,y,x),z)). [ur(28,a,36,a)]. 3.018/3.018 3.018/3.018 given #419 (F,wt=13): 1058 -reds(plus(x(c1,x),c1),x(c2,s(c_M))) | -red(c_M,x). [resolve(437,b,29,b)]. 3.018/3.018 3.018/3.018 given #420 (F,wt=13): 1059 -reds(plus(x(x,c_M),c1),x(c2,s(c_M))) | -red(c1,x). [resolve(437,b,28,b)]. 3.018/3.018 3.018/3.018 given #421 (F,wt=13): 1060 -red(plus(x(c2,c_M),c1),x) | -reds(x,x(c2,s(c_M))). [resolve(1057,a,21,c)]. 3.018/3.018 3.018/3.018 given #422 (F,wt=13): 1096 -red(plus(x(c2,c_M),c2),x) | -reds(x,x(c2,s(c_M))). [resolve(1068,a,21,c)]. 3.018/3.018 3.018/3.018 given #423 (T,wt=9): 693 reds(plus(plus(c1,0),x(x,0)),c2). [ur(21,a,104,a,b,185,a)]. 3.018/3.018 3.018/3.018 given #424 (T,wt=9): 694 reds(plus(x(x,0),x(y,0)),0). [ur(21,a,104,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #425 (T,wt=8): 1844 reds(U22(tt,0,x(x,0)),0). [ur(21,a,34,a,b,694,a)]. 3.018/3.018 3.018/3.018 given #426 (T,wt=8): 1847 reds(U21(tt,0,x(x,0)),0). [ur(21,a,33,a,b,1844,a)]. 3.018/3.018 3.018/3.018 given #427 (A,wt=13): 94 red(plus(x,plus(y,s(z))),plus(x,U11(tt,z,y))). [ur(27,a,36,a)]. 3.018/3.018 3.018/3.018 given #428 (F,wt=13): 1175 -reds(plus(x(c2,x),c2),U21(tt,c_M,c1)) | -red(c_M,x). [resolve(440,b,29,b)]. 3.018/3.018 3.018/3.018 given #429 (F,wt=13): 1176 -reds(plus(x(x,c_M),c2),U21(tt,c_M,c1)) | -red(c2,x). [resolve(440,b,28,b)]. 3.018/3.018 3.018/3.018 given #430 (F,wt=13): 1179 -reds(plus(x(c1,x),c2),x(c2,s(c_M))) | -red(c_M,x). [resolve(443,b,29,b)]. 3.018/3.018 3.018/3.018 given #431 (F,wt=13): 1180 -reds(plus(x(x,c_M),c2),x(c2,s(c_M))) | -red(c1,x). [resolve(443,b,28,b)]. 3.018/3.018 3.018/3.018 given #432 (T,wt=9): 695 reds(plus(plus(x,0),x(y,0)),x). [ur(21,a,104,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #433 (T,wt=9): 698 reds(plus(x,x(y,0)),plus(x,0)). [ur(21,a,104,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #434 (T,wt=9): 699 reds(plus(c1,plus(x(x,0),0)),c2). [ur(21,a,84,a,b,696,a)]. 3.018/3.018 3.018/3.018 given #435 (T,wt=8): 1902 reds(plus(c1,U22(tt,0,0)),c2). [ur(21,a,74,a,b,699,a)]. 3.018/3.018 3.018/3.018 given #436 (A,wt=13): 95 red(plus(plus(x,s(y)),z),plus(U11(tt,y,x),z)). [ur(26,a,36,a)]. 3.018/3.018 3.018/3.018 given #437 (F,wt=13): 1203 -reds(plus(x(c2,c_M),x),U22(tt,c_M,c1)) | -red(c2,x). [resolve(547,a,27,b)]. 3.018/3.018 3.018/3.018 given #438 (F,wt=13): 1204 -reds(plus(x,c2),U22(tt,c_M,c1)) | -red(x(c2,c_M),x). [resolve(547,a,26,b)]. 3.018/3.018 3.018/3.018 given #439 (F,wt=13): 1296 -red(U21(tt,c_M,c1),plus(U22(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,1266,a)]. 3.018/3.018 3.018/3.018 given #440 (F,wt=13): 1297 -red(U21(tt,c_M,c1),plus(U22(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,1266,a)]. 3.018/3.018 3.018/3.018 given #441 (T,wt=8): 1906 reds(plus(c1,U21(tt,0,0)),c2). [ur(21,a,64,a,b,1902,a)]. 3.018/3.018 3.018/3.018 given #442 (T,wt=9): 700 reds(plus(plus(c1,x(x,0)),0),c2). [ur(21,a,35,a,b,696,a)]. 3.018/3.018 3.018/3.018 given #443 (T,wt=9): 712 reds(plus(x,plus(x(y,0),0)),x). [ur(21,a,84,a,b,697,a)]. 3.018/3.018 3.018/3.018 given #444 (T,wt=8): 1962 reds(plus(x,U22(tt,0,0)),x). [ur(21,a,74,a,b,712,a)]. 3.018/3.018 3.018/3.018 given #445 (A,wt=15): 96 red(U22(plus(x,s(y)),z,u),U22(U11(tt,y,x),z,u)). [ur(25,a,36,a)]. 3.018/3.018 3.018/3.018 given #446 (F,wt=13): 1299 -red(U21(tt,c_M,c1),plus(plus(U22(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,1266,a)]. 3.018/3.018 3.018/3.018 given #447 (F,wt=13): 1304 -red(U22(tt,c_M,c1),plus(U22(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,1302,a)]. 3.018/3.018 3.018/3.018 given #448 (F,wt=13): 1305 -red(U22(tt,c_M,c1),plus(U22(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,1302,a)]. 3.018/3.018 3.018/3.018 given #449 (F,wt=13): 1307 -red(U22(tt,c_M,c1),plus(plus(U22(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,1302,a)]. 3.018/3.018 3.018/3.018 given #450 (T,wt=8): 1997 reds(plus(x,U21(tt,0,0)),x). [ur(21,a,64,a,b,1962,a)]. 3.018/3.018 3.018/3.018 given #451 (T,wt=9): 715 reds(plus(plus(x,x(y,0)),0),x). [ur(21,a,35,a,b,697,a)]. 3.018/3.018 3.018/3.018 given #452 (T,wt=9): 741 reds(plus(x(x,0),s(0)),s(0)). [ur(21,a,105,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #453 (T,wt=8): 2075 reds(U22(tt,0,s(0)),s(0)). [ur(21,a,34,a,b,741,a)]. 3.018/3.018 3.018/3.018 given #454 (A,wt=15): 97 red(U21(plus(x,s(y)),z,u),U21(U11(tt,y,x),z,u)). [ur(24,a,36,a)]. 3.018/3.018 3.018/3.018 given #455 (F,wt=13): 1360 -red(plus(x(c1,c_M),c1),x) | -reds(x,U22(tt,c_M,c2)). [resolve(1310,a,21,c)]. 3.018/3.018 3.018/3.018 given #456 (F,wt=13): 1368 -red(plus(x(c1,c_M),c2),x) | -reds(x,U22(tt,c_M,c2)). [resolve(1367,a,21,c)]. 3.018/3.018 3.018/3.018 given #457 (F,wt=13): 1794 -reds(plus(x(c1,c_M),x),U21(tt,c_M,c2)) | -red(c1,x). [resolve(908,a,27,b)]. 3.018/3.018 3.018/3.018 given #458 (F,wt=13): 1795 -reds(plus(x,c1),U21(tt,c_M,c2)) | -red(x(c1,c_M),x). [resolve(908,a,26,b)]. 3.018/3.018 3.018/3.018 given #459 (T,wt=8): 2078 reds(U21(tt,0,s(0)),s(0)). [ur(21,a,33,a,b,2075,a)]. 3.018/3.018 3.018/3.018 given #460 (T,wt=8): 2101 reds(x(s(0),s(0)),s(0)). [ur(21,a,38,a,b,2078,a)]. 3.018/3.018 3.018/3.018 given #461 (T,wt=9): 742 reds(plus(x(x,0),c1),plus(0,c2)). [ur(21,a,105,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #462 (T,wt=8): 2108 reds(U22(tt,0,c1),plus(0,c2)). [ur(21,a,34,a,b,742,a)]. 3.018/3.018 3.018/3.018 given #463 (A,wt=15): 98 red(U12(plus(x,s(y)),z,u),U12(U11(tt,y,x),z,u)). [ur(23,a,36,a)]. 3.018/3.018 3.018/3.018 given #464 (F,wt=10): 2097 -reds(plus(x(c2,c_M),c1),U21(tt,c_M,c2)). [resolve(1795,b,123,a)]. 3.018/3.018 3.018/3.018 given #465 (F,wt=10): 2136 -red(plus(x(c2,c_M),c1),U21(tt,c_M,c2)). [ur(21,b,20,a,c,2097,a)]. 3.018/3.018 3.018/3.018 given #466 (F,wt=10): 2137 -reds(plus(x(c2,c_M),c2),U21(tt,c_M,c2)). [ur(21,a,124,a,c,2097,a)]. 3.018/3.018 3.018/3.018 given #467 (F,wt=10): 2152 -red(plus(x(c2,c_M),c2),U21(tt,c_M,c2)). [ur(21,b,20,a,c,2137,a)]. 3.018/3.018 3.018/3.018 given #468 (T,wt=8): 2111 reds(U21(tt,0,c1),plus(0,c2)). [ur(21,a,33,a,b,2108,a)]. 3.018/3.018 3.018/3.018 given #469 (T,wt=8): 2154 reds(x(c1,s(0)),plus(0,c2)). [ur(21,a,38,a,b,2111,a)]. 3.018/3.018 3.018/3.018 given #470 (T,wt=9): 744 reds(plus(x(x,0),y),plus(0,y)). [ur(21,a,105,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #471 (T,wt=8): 2167 reds(U22(tt,0,x),plus(0,x)). [ur(21,a,34,a,b,744,a)]. 3.018/3.018 3.018/3.018 given #472 (A,wt=15): 99 red(U11(plus(x,s(y)),z,u),U11(U11(tt,y,x),z,u)). [ur(22,a,36,a)]. 3.018/3.018 3.018/3.018 given #473 (F,wt=12): 2135 -red(plus(x(c2,c_M),c1),plus(U21(tt,c_M,c2),0)). [ur(21,b,90,a,c,2097,a)]. 3.018/3.018 3.018/3.018 given #474 (F,wt=12): 2151 -red(plus(x(c2,c_M),c2),plus(U21(tt,c_M,c2),0)). [ur(21,b,90,a,c,2137,a)]. 3.018/3.018 3.018/3.018 given #475 (F,wt=13): 1797 -reds(plus(x(c1,c_M),x),U21(tt,c_M,c2)) | -red(c2,x). [resolve(915,a,27,b)]. 3.018/3.018 3.018/3.018 given #476 (F,wt=13): 1798 -reds(plus(x,c2),U21(tt,c_M,c2)) | -red(x(c1,c_M),x). [resolve(915,a,26,b)]. 3.018/3.018 3.018/3.018 given #477 (T,wt=8): 2170 reds(U21(tt,0,x),plus(0,x)). [ur(21,a,33,a,b,2167,a)]. 3.018/3.018 3.018/3.018 given #478 (T,wt=8): 2186 reds(x(x,s(0)),plus(0,x)). [ur(21,a,38,a,b,2170,a)]. 3.018/3.018 3.018/3.018 given #479 (T,wt=9): 751 reds(x(c1,s(x)),U21(tt,x,c2)). [ur(21,a,123,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #480 (T,wt=9): 768 reds(U22(c1,x,y),U22(c2,x,y)). [ur(21,a,126,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #481 (A,wt=11): 106 red(U22(x(x,0),y,z),U22(0,y,z)). [ur(25,a,37,a)]. 3.018/3.018 3.018/3.018 given #482 (F,wt=13): 1834 -reds(plus(x(c2,c_M),x),x(c2,s(c_M))) | -red(c1,x). [resolve(1060,a,27,b)]. 3.018/3.018 3.018/3.018 given #483 (F,wt=13): 1835 -reds(plus(x,c1),x(c2,s(c_M))) | -red(x(c2,c_M),x). [resolve(1060,a,26,b)]. 3.018/3.018 3.018/3.018 given #484 (F,wt=13): 1837 -reds(plus(x(c2,c_M),x),x(c2,s(c_M))) | -red(c2,x). [resolve(1096,a,27,b)]. 3.018/3.018 3.018/3.018 given #485 (F,wt=13): 1838 -reds(plus(x,c2),x(c2,s(c_M))) | -red(x(c2,c_M),x). [resolve(1096,a,26,b)]. 3.018/3.018 3.018/3.018 given #486 (T,wt=9): 778 reds(U21(c1,x,y),U21(c2,x,y)). [ur(21,a,127,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #487 (T,wt=9): 798 reds(U12(c1,x,y),U12(c2,x,y)). [ur(21,a,128,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #488 (T,wt=9): 808 reds(U11(c1,x,y),U11(c2,x,y)). [ur(21,a,129,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #489 (T,wt=9): 819 reds(x(c1,s(c1)),x(c2,s(c2))). [ur(21,a,162,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #490 (A,wt=11): 107 red(U21(x(x,0),y,z),U21(0,y,z)). [ur(24,a,37,a)]. 3.018/3.018 3.018/3.018 given #491 (F,wt=13): 1931 -reds(plus(x(c2,x),c2),U22(tt,c_M,c1)) | -red(c_M,x). [resolve(1204,b,29,b)]. 3.018/3.018 3.018/3.018 given #492 (F,wt=13): 1932 -reds(plus(x(x,c_M),c2),U22(tt,c_M,c1)) | -red(c2,x). [resolve(1204,b,28,b)]. 3.018/3.018 3.018/3.018 given #493 (F,wt=13): 2089 -reds(plus(x(c1,c_M),x),U22(tt,c_M,c2)) | -red(c1,x). [resolve(1360,a,27,b)]. 3.018/3.018 3.018/3.018 given #494 (F,wt=13): 2090 -reds(plus(x,c1),U22(tt,c_M,c2)) | -red(x(c1,c_M),x). [resolve(1360,a,26,b)]. 3.018/3.018 3.018/3.018 given #495 (T,wt=9): 820 reds(x(x,s(c1)),U21(tt,c2,x)). [ur(21,a,162,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #496 (T,wt=9): 821 reds(x(x,s(c1)),x(x,s(c2))). [ur(21,a,162,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #497 (T,wt=9): 859 reds(x(s(c1),c1),x(s(c2),c2)). [ur(21,a,163,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #498 (T,wt=9): 861 reds(x(s(c1),x),x(s(c2),x)). [ur(21,a,163,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #499 (A,wt=11): 108 red(U12(x(x,0),y,z),U12(0,y,z)). [ur(23,a,37,a)]. 3.018/3.018 3.018/3.018 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.09 sec). 3.018/3.018 3.018/3.018 given #500 (F,wt=10): 2245 -reds(plus(x(c2,c_M),c1),U22(tt,c_M,c2)). [resolve(2090,b,123,a)]. 3.018/3.018 3.018/3.018 given #501 (F,wt=10): 2299 -red(plus(x(c2,c_M),c1),U22(tt,c_M,c2)). [ur(21,b,20,a,c,2245,a)]. 3.018/3.018 3.018/3.018 given #502 (F,wt=10): 2300 -reds(plus(x(c2,c_M),c2),U22(tt,c_M,c2)). [ur(21,a,124,a,c,2245,a)]. 3.018/3.018 3.018/3.018 given #503 (F,wt=10): 2315 -red(plus(x(c2,c_M),c2),U22(tt,c_M,c2)). [ur(21,b,20,a,c,2300,a)]. 3.018/3.018 3.018/3.018 given #504 (T,wt=9): 871 reds(plus(c1,s(c1)),plus(c2,s(c2))). [ur(21,a,164,a,b,268,a)]. 3.018/3.018 3.018/3.018 given #505 (T,wt=9): 872 reds(plus(x,s(c1)),U11(tt,c2,x)). [ur(21,a,164,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #506 (T,wt=9): 873 reds(plus(x,s(c1)),plus(x,s(c2))). [ur(21,a,164,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #507 (T,wt=9): 883 reds(plus(s(c1),s(0)),s(s(c2))). [ur(21,a,165,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #508 (A,wt=11): 109 red(U11(x(x,0),y,z),U11(0,y,z)). [ur(22,a,37,a)]. 3.018/3.018 3.018/3.018 given #509 (F,wt=12): 2298 -red(plus(x(c2,c_M),c1),plus(U22(tt,c_M,c2),0)). [ur(21,b,90,a,c,2245,a)]. 3.018/3.018 3.018/3.018 given #510 (F,wt=12): 2314 -red(plus(x(c2,c_M),c2),plus(U22(tt,c_M,c2),0)). [ur(21,b,90,a,c,2300,a)]. 3.018/3.018 3.018/3.018 given #511 (F,wt=13): 2092 -reds(plus(x(c1,c_M),x),U22(tt,c_M,c2)) | -red(c2,x). [resolve(1368,a,27,b)]. 3.018/3.018 3.018/3.018 given #512 (F,wt=13): 2093 -reds(plus(x,c2),U22(tt,c_M,c2)) | -red(x(c1,c_M),x). [resolve(1368,a,26,b)]. 3.018/3.018 3.018/3.018 given #513 (T,wt=9): 884 reds(plus(s(c1),c1),plus(s(c2),c2)). [ur(21,a,165,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #514 (T,wt=9): 886 reds(plus(s(c1),x),plus(s(c2),x)). [ur(21,a,165,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #515 (T,wt=9): 896 reds(s(s(plus(c1,0))),s(s(c2))). [ur(21,a,187,a,b,318,a)]. 3.018/3.018 3.018/3.018 given #516 (T,wt=9): 897 reds(s(s(plus(x,0))),s(s(x))). [ur(21,a,187,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #517 (A,wt=11): 111 red(s(x(x,s(y))),s(U21(tt,y,x))). [ur(30,a,38,a)]. 3.018/3.018 3.018/3.018 given #518 (F,wt=13): 2098 -reds(plus(x(c1,x),c1),U21(tt,c_M,c2)) | -red(c_M,x). [resolve(1795,b,29,b)]. 3.018/3.018 3.018/3.018 given #519 (F,wt=13): 2099 -reds(plus(x(x,c_M),c1),U21(tt,c_M,c2)) | -red(c1,x). [resolve(1795,b,28,b)]. 3.018/3.018 3.018/3.018 given #520 (F,wt=13): 2122 -red(plus(x(c2,c_M),c1),x) | -reds(x,U21(tt,c_M,c2)). [resolve(2097,a,21,c)]. 3.018/3.018 3.018/3.018 given #521 (F,wt=13): 2138 -red(plus(x(c2,c_M),c2),x) | -reds(x,U21(tt,c_M,c2)). [resolve(2137,a,21,c)]. 3.018/3.018 3.018/3.018 given #522 (T,wt=8): 2380 reds(s(x(0,s(0))),s(0)). [ur(21,a,111,a,b,1243,a)]. 3.018/3.018 3.018/3.018 given #523 (T,wt=9): 930 reds(s(s(x(x,0))),s(s(0))). [ur(21,a,198,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #524 (T,wt=9): 940 reds(s(x(x,c1)),s(x(x,c2))). [ur(21,a,228,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #525 (T,wt=9): 950 reds(s(x(c1,x)),s(x(c2,x))). [ur(21,a,238,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #526 (A,wt=13): 112 red(x(x,x(y,s(z))),x(x,U21(tt,z,y))). [ur(29,a,38,a)]. 3.018/3.018 3.018/3.018 given #527 (F,wt=13): 2183 -reds(plus(x(c1,x),c2),U21(tt,c_M,c2)) | -red(c_M,x). [resolve(1798,b,29,b)]. 3.018/3.018 3.018/3.018 given #528 (F,wt=13): 2184 -reds(plus(x(x,c_M),c2),U21(tt,c_M,c2)) | -red(c1,x). [resolve(1798,b,28,b)]. 3.018/3.018 3.018/3.018 given #529 (F,wt=13): 2217 -reds(plus(x(c2,x),c1),x(c2,s(c_M))) | -red(c_M,x). [resolve(1835,b,29,b)]. 3.018/3.018 3.018/3.018 given #530 (F,wt=13): 2218 -reds(plus(x(x,c_M),c1),x(c2,s(c_M))) | -red(c2,x). [resolve(1835,b,28,b)]. 3.018/3.018 3.018/3.018 given #531 (T,wt=8): 2409 reds(x(x,x(0,s(0))),0). [ur(21,a,112,a,b,1748,a)]. 3.018/3.018 3.018/3.018 given #532 (T,wt=9): 960 reds(s(plus(x,c1)),s(plus(x,c2))). [ur(21,a,248,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #533 (T,wt=9): 983 reds(s(plus(c1,x)),s(plus(c2,x))). [ur(21,a,259,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #534 (T,wt=9): 1015 reds(s(s(s(c1))),s(s(s(c2)))). [ur(21,a,309,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #535 (A,wt=13): 113 red(x(x(x,s(y)),z),x(U21(tt,y,x),z)). [ur(28,a,38,a)]. 3.018/3.018 3.018/3.018 given #536 (F,wt=13): 2221 -reds(plus(x(c2,x),c2),x(c2,s(c_M))) | -red(c_M,x). [resolve(1838,b,29,b)]. 3.018/3.018 3.018/3.018 given #537 (F,wt=13): 2222 -reds(plus(x(x,c_M),c2),x(c2,s(c_M))) | -red(c2,x). [resolve(1838,b,28,b)]. 3.018/3.018 3.018/3.018 given #538 (F,wt=13): 2246 -reds(plus(x(c1,x),c1),U22(tt,c_M,c2)) | -red(c_M,x). [resolve(2090,b,29,b)]. 3.018/3.018 3.018/3.018 given #539 (F,wt=13): 2247 -reds(plus(x(x,c_M),c1),U22(tt,c_M,c2)) | -red(c1,x). [resolve(2090,b,28,b)]. 3.018/3.018 3.018/3.018 given #540 (T,wt=9): 1039 reds(U12(tt,0,plus(c1,0)),s(c2)). [ur(21,a,32,a,b,338,a)]. 3.018/3.018 3.018/3.018 given #541 (T,wt=9): 1071 reds(U12(tt,0,plus(x,0)),s(x)). [ur(21,a,32,a,b,341,a)]. 3.018/3.018 3.018/3.018 given #542 (T,wt=9): 1077 reds(U12(tt,0,x(x,0)),s(0)). [ur(21,a,32,a,b,344,a)]. 3.018/3.018 3.018/3.018 given #543 (T,wt=9): 1137 reds(U12(tt,0,s(c1)),s(s(c2))). [ur(21,a,32,a,b,375,a)]. 3.018/3.018 3.018/3.018 given #544 (A,wt=13): 114 red(plus(x,x(y,s(z))),plus(x,U21(tt,z,y))). [ur(27,a,38,a)]. 3.018/3.018 3.018/3.018 given #545 (F,wt=13): 2285 -red(plus(x(c2,c_M),c1),x) | -reds(x,U22(tt,c_M,c2)). [resolve(2245,a,21,c)]. 3.018/3.018 3.018/3.018 given #546 (F,wt=13): 2301 -red(plus(x(c2,c_M),c2),x) | -reds(x,U22(tt,c_M,c2)). [resolve(2300,a,21,c)]. 3.018/3.018 3.018/3.018 given #547 (F,wt=13): 2352 -reds(plus(x(c1,x),c2),U22(tt,c_M,c2)) | -red(c_M,x). [resolve(2093,b,29,b)]. 3.018/3.018 3.018/3.018 given #548 (F,wt=13): 2353 -reds(plus(x(x,c_M),c2),U22(tt,c_M,c2)) | -red(c1,x). [resolve(2093,b,28,b)]. 3.018/3.018 3.018/3.018 given #549 (T,wt=8): 2477 reds(plus(x,x(0,s(0))),x). [ur(21,a,114,a,b,1997,a)]. 3.018/3.018 3.018/3.018 given #550 (T,wt=8): 2478 reds(plus(c1,x(0,s(0))),c2). [ur(21,a,114,a,b,1906,a)]. 3.018/3.018 3.018/3.018 given #551 (T,wt=9): 1207 reds(plus(x,s(c1)),U12(tt,c2,x)). [ur(21,a,164,a,b,415,a)]. 3.018/3.018 3.018/3.018 given #552 (T,wt=9): 1208 reds(plus(c1,s(x)),U12(tt,x,c2)). [ur(21,a,125,a,b,415,a)]. 3.018/3.018 3.018/3.018 given #553 (A,wt=13): 115 red(plus(x(x,s(y)),z),plus(U21(tt,y,x),z)). [ur(26,a,38,a)]. 3.018/3.018 3.018/3.018 given #554 (F,wt=13): 2384 -reds(plus(x(c2,c_M),x),U21(tt,c_M,c2)) | -red(c1,x). [resolve(2122,a,27,b)]. 3.018/3.018 3.018/3.018 given #555 (F,wt=13): 2385 -reds(plus(x,c1),U21(tt,c_M,c2)) | -red(x(c2,c_M),x). [resolve(2122,a,26,b)]. 3.018/3.018 3.018/3.018 given #556 (F,wt=13): 2387 -reds(plus(x(c2,c_M),x),U21(tt,c_M,c2)) | -red(c2,x). [resolve(2138,a,27,b)]. 3.018/3.018 3.018/3.018 given #557 (F,wt=13): 2388 -reds(plus(x,c2),U21(tt,c_M,c2)) | -red(x(c2,c_M),x). [resolve(2138,a,26,b)]. 3.018/3.018 3.018/3.018 given #558 (T,wt=9): 1264 reds(plus(x,s(y)),s(plus(x,y))). [ur(21,a,36,a,b,466,a)]. 3.018/3.018 3.018/3.018 given #559 (T,wt=9): 1268 reds(x(x,s(c1)),U22(tt,c2,x)). [ur(21,a,162,a,b,468,a)]. 3.018/3.018 3.018/3.018 given #560 (T,wt=9): 1269 reds(x(c1,s(x)),U22(tt,x,c2)). [ur(21,a,123,a,b,468,a)]. 3.018/3.018 3.018/3.018 given #561 (T,wt=9): 1650 reds(U22(plus(tt,0),s(0),0),0). [ur(21,a,86,a,b,425,a)]. 3.018/3.018 3.018/3.018 given #562 (A,wt=15): 116 red(U22(x(x,s(y)),z,u),U22(U21(tt,y,x),z,u)). [ur(25,a,38,a)]. 3.018/3.018 3.018/3.018 given #563 (F,wt=13): 2485 -reds(plus(x(c2,c_M),x),U22(tt,c_M,c2)) | -red(c1,x). [resolve(2285,a,27,b)]. 3.018/3.018 3.018/3.018 given #564 (F,wt=13): 2486 -reds(plus(x,c1),U22(tt,c_M,c2)) | -red(x(c2,c_M),x). [resolve(2285,a,26,b)]. 3.018/3.018 3.018/3.018 given #565 (F,wt=13): 2488 -reds(plus(x(c2,c_M),x),U22(tt,c_M,c2)) | -red(c2,x). [resolve(2301,a,27,b)]. 3.018/3.018 3.018/3.018 given #566 (F,wt=13): 2489 -reds(plus(x,c2),U22(tt,c_M,c2)) | -red(x(c2,c_M),x). [resolve(2301,a,26,b)]. 3.018/3.018 3.018/3.018 given #567 (T,wt=9): 1677 reds(U21(plus(tt,0),s(0),0),0). [ur(21,a,87,a,b,446,a)]. 3.018/3.018 3.018/3.018 given #568 (T,wt=9): 1711 reds(U12(plus(tt,0),0,x),s(x)). [ur(21,a,88,a,b,343,a)]. 3.018/3.018 3.018/3.018 given #569 (T,wt=9): 1712 reds(U12(plus(tt,0),0,c1),s(c2)). [ur(21,a,88,a,b,340,a)]. 3.018/3.018 3.018/3.018 given #570 (T,wt=9): 1715 reds(plus(c1,s(c1)),U11(tt,c2,c2)). [ur(21,a,164,a,b,624,a)]. 3.018/3.018 3.018/3.018 given #571 (A,wt=15): 117 red(U21(x(x,s(y)),z,u),U21(U21(tt,y,x),z,u)). [ur(24,a,38,a)]. 3.018/3.018 3.018/3.018 given #572 (F,wt=13): 2579 -reds(plus(x(c2,x),c1),U21(tt,c_M,c2)) | -red(c_M,x). [resolve(2385,b,29,b)]. 3.018/3.018 3.018/3.018 given #573 (F,wt=13): 2580 -reds(plus(x(x,c_M),c1),U21(tt,c_M,c2)) | -red(c2,x). [resolve(2385,b,28,b)]. 3.018/3.018 3.018/3.018 given #574 (F,wt=13): 2583 -reds(plus(x(c2,x),c2),U21(tt,c_M,c2)) | -red(c_M,x). [resolve(2388,b,29,b)]. 3.018/3.018 3.018/3.018 given #575 (F,wt=13): 2584 -reds(plus(x(x,c_M),c2),U21(tt,c_M,c2)) | -red(c2,x). [resolve(2388,b,28,b)]. 3.018/3.018 3.018/3.018 given #576 (T,wt=9): 1743 reds(U11(plus(tt,0),0,x),s(x)). [ur(21,a,89,a,b,390,a)]. 3.018/3.018 3.018/3.018 given #577 (T,wt=9): 1744 reds(U11(plus(tt,0),0,c1),s(c2)). [ur(21,a,89,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #578 (T,wt=9): 2198 reds(x(c1,s(c1)),U21(tt,c2,c2)). [ur(21,a,162,a,b,751,a)]. 3.018/3.018 3.018/3.018 given #579 (T,wt=9): 2365 reds(s(U12(tt,0,c1)),s(s(c2))). [ur(21,a,51,a,b,896,a)]. 3.018/3.018 3.018/3.018 given #580 (A,wt=15): 118 red(U12(x(x,s(y)),z,u),U12(U21(tt,y,x),z,u)). [ur(23,a,38,a)]. 3.018/3.018 3.018/3.018 given #581 (F,wt=13): 2630 -reds(plus(x(c2,x),c1),U22(tt,c_M,c2)) | -red(c_M,x). [resolve(2486,b,29,b)]. 3.018/3.018 3.018/3.018 given #582 (F,wt=13): 2631 -reds(plus(x(x,c_M),c1),U22(tt,c_M,c2)) | -red(c2,x). [resolve(2486,b,28,b)]. 3.018/3.018 3.018/3.018 given #583 (F,wt=13): 2634 -reds(plus(x(c2,x),c2),U22(tt,c_M,c2)) | -red(c_M,x). [resolve(2489,b,29,b)]. 3.018/3.018 3.018/3.018 given #584 (F,wt=13): 2635 -reds(plus(x(x,c_M),c2),U22(tt,c_M,c2)) | -red(c2,x). [resolve(2489,b,28,b)]. 3.018/3.018 3.018/3.018 given #585 (T,wt=9): 2369 reds(s(U12(tt,0,x)),s(s(x))). [ur(21,a,51,a,b,897,a)]. 3.018/3.018 3.018/3.018 given #586 (T,wt=9): 2395 reds(s(x(c1,c1)),s(x(c2,c2))). [ur(21,a,238,a,b,940,a)]. 3.018/3.018 3.018/3.018 given #587 (T,wt=9): 2422 reds(s(plus(c1,c1)),s(plus(c2,c2))). [ur(21,a,259,a,b,960,a)]. 3.018/3.018 3.018/3.018 given #588 (T,wt=9): 2426 reds(U12(tt,c1,x),s(plus(x,c2))). [ur(21,a,32,a,b,960,a)]. 3.018/3.018 3.018/3.018 given #589 (A,wt=15): 119 red(U11(x(x,s(y)),z,u),U11(U21(tt,y,x),z,u)). [ur(22,a,38,a)]. 3.018/3.018 3.018/3.018 given #590 (F,wt=14): 283 -red(plus(x(c1,c_M),c2),plus(plus(x(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,258,a)]. 3.018/3.018 3.018/3.018 given #591 (F,wt=14): 284 -red(plus(x(c2,c_M),c2),plus(plus(U21(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,221,a)]. 3.018/3.018 3.018/3.018 given #592 (F,wt=14): 286 -red(plus(x(c1,c_M),c1),plus(plus(x(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #593 (F,wt=14): 548 -red(plus(x(c2,c_M),c2),plus(plus(U22(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,546,a)]. 3.018/3.018 3.018/3.018 given #594 (T,wt=9): 2429 reds(U12(tt,x,c1),s(plus(c2,x))). [ur(21,a,32,a,b,983,a)]. 3.018/3.018 3.018/3.018 given #595 (T,wt=9): 2458 reds(U11(tt,0,plus(c1,0)),s(c2)). [ur(21,a,31,a,b,1039,a)]. 3.018/3.018 3.018/3.018 given #596 (T,wt=9): 2461 reds(U11(tt,0,plus(x,0)),s(x)). [ur(21,a,31,a,b,1071,a)]. 3.018/3.018 3.018/3.018 given #597 (T,wt=9): 2464 reds(U11(tt,0,x(x,0)),s(0)). [ur(21,a,31,a,b,1077,a)]. 3.018/3.018 3.018/3.018 given #598 (A,wt=15): 131 -reds(U21(tt,c_M,c1),x) | -red(x(c2,s(c_M)),y) | -reds(y,x). [resolve(40,a,21,c)]. 3.018/3.018 3.018/3.018 given #599 (F,wt=12): 2714 -reds(U21(tt,c_M,c1),x) | -reds(U21(tt,c_M,c2),x). [resolve(131,b,38,a)]. 3.018/3.018 3.018/3.018 given #600 (F,wt=12): 2935 -reds(U21(tt,c_M,c1),c2) | -red(x(c2,s(c_M)),c1). [resolve(131,c,130,a)]. 3.018/3.018 3.018/3.018 given #601 (F,wt=12): 2945 -reds(U21(tt,c_M,c1),x) | -red(x(c2,s(c_M)),x). [resolve(131,c,20,a)]. 3.018/3.018 3.018/3.018 given #602 (F,wt=12): 2950 -reds(U21(tt,c_M,c1),x(c2,x)) | -red(s(c_M),x). [resolve(2945,b,29,b)]. 3.018/3.018 3.018/3.018 given #603 (T,wt=9): 2467 reds(U11(tt,0,s(c1)),s(s(c2))). [ur(21,a,31,a,b,1137,a)]. 3.018/3.018 3.018/3.018 given #604 (T,wt=9): 2534 reds(plus(c1,s(c1)),U12(tt,c2,c2)). [ur(21,a,125,a,b,1207,a)]. 3.018/3.018 3.018/3.018 given #605 (T,wt=9): 2586 reds(plus(x,s(c1)),s(plus(x,c2))). [ur(21,a,164,a,b,1264,a)]. 3.018/3.018 3.018/3.018 given #606 (T,wt=9): 2587 reds(plus(c1,s(x)),s(plus(c2,x))). [ur(21,a,125,a,b,1264,a)]. 3.018/3.018 3.018/3.018 given #607 (A,wt=15): 133 -reds(x(c2,s(c_M)),x) | -red(U21(tt,c_M,c1),y) | -reds(y,x). [resolve(40,b,21,c)]. 3.018/3.018 3.018/3.018 given #608 (F,wt=10): 3215 -reds(x(c2,s(c_M)),plus(x(c1,c_M),c1)). [ur(133,b,33,a,c,80,a)]. 3.018/3.018 3.018/3.018 given #609 (F,wt=10): 3233 -red(x(c2,s(c_M)),plus(x(c1,c_M),c1)). [ur(21,b,20,a,c,3215,a)]. 3.018/3.018 3.018/3.018 given #610 (F,wt=10): 3234 -reds(U21(tt,c_M,c2),plus(x(c1,c_M),c1)). [ur(21,a,38,a,c,3215,a)]. 3.018/3.018 3.018/3.018 given #611 (F,wt=10): 3252 -red(U21(tt,c_M,c2),plus(x(c1,c_M),c1)). [ur(21,b,20,a,c,3234,a)]. 3.018/3.018 3.018/3.018 given #612 (T,wt=9): 2601 reds(x(c1,s(c1)),U22(tt,c2,c2)). [ur(21,a,123,a,b,1268,a)]. 3.018/3.018 3.018/3.018 given #613 (T,wt=9): 2667 reds(s(U11(tt,0,c1)),s(s(c2))). [ur(21,a,41,a,b,2365,a)]. 3.018/3.018 3.018/3.018 given #614 (T,wt=9): 2684 reds(s(U11(tt,0,x)),s(s(x))). [ur(21,a,41,a,b,2369,a)]. 3.018/3.018 3.018/3.018 given #615 (T,wt=9): 2690 reds(U12(tt,c1,c1),s(plus(c2,c2))). [ur(21,a,32,a,b,2422,a)]. 3.018/3.018 3.018/3.018 given #616 (A,wt=13): 135 red(s(s(U11(tt,x,y))),s(s(U12(tt,x,y)))). [ur(30,a,41,a)]. 3.018/3.018 3.018/3.018 given #617 (F,wt=10): 3253 -reds(U22(tt,c_M,c2),plus(x(c1,c_M),c1)). [ur(21,a,33,a,c,3234,a)]. 3.018/3.018 3.018/3.018 given #618 (F,wt=10): 3301 -red(U22(tt,c_M,c2),plus(x(c1,c_M),c1)). [ur(21,b,20,a,c,3253,a)]. 3.018/3.018 3.018/3.018 given #619 (F,wt=11): 3302 -reds(plus(x(c2,c_M),c2),plus(x(c1,c_M),c1)). [ur(21,a,34,a,c,3253,a)]. 3.018/3.018 3.018/3.018 given #620 (F,wt=11): 3320 -red(plus(x(c2,c_M),c2),plus(x(c1,c_M),c1)). [ur(21,b,20,a,c,3302,a)]. 3.018/3.018 3.018/3.018 given #621 (T,wt=9): 2693 reds(U11(tt,c1,x),s(plus(x,c2))). [ur(21,a,31,a,b,2426,a)]. 3.018/3.018 3.018/3.018 given #622 (T,wt=9): 2706 reds(U11(tt,x,c1),s(plus(c2,x))). [ur(21,a,31,a,b,2429,a)]. 3.018/3.018 3.018/3.018 given #623 (T,wt=9): 2963 reds(plus(c1,s(c1)),s(plus(c2,c2))). [ur(21,a,125,a,b,2586,a)]. 3.018/3.018 3.018/3.018 given #624 (T,wt=9): 3261 reds(s(plus(c1,s(0))),s(s(c2))). [ur(21,a,91,a,b,2667,a)]. 3.018/3.018 3.018/3.018 given #625 (A,wt=15): 136 red(x(x,s(U11(tt,y,z))),x(x,s(U12(tt,y,z)))). [ur(29,a,41,a)]. 3.018/3.018 3.018/3.018 given #626 (F,wt=12): 2951 -reds(U21(tt,c_M,c1),x(x,s(c_M))) | -red(c2,x). [resolve(2945,b,28,b)]. 3.018/3.018 3.018/3.018 given #627 (F,wt=12): 2953 -reds(U21(tt,c_M,c1),x(c2,s(x))) | -red(c_M,x). [resolve(2950,b,30,b)]. 3.018/3.018 3.018/3.018 given #628 (F,wt=12): 2980 -reds(x(c2,s(c_M)),x) | -reds(U22(tt,c_M,c1),x). [resolve(133,b,33,a)]. 3.018/3.018 3.018/3.018 given #629 (F,wt=12): 3204 -reds(x(c2,s(c_M)),c2) | -red(U21(tt,c_M,c1),c1). [resolve(133,c,130,a)]. 3.018/3.018 3.018/3.018 given #630 (T,wt=9): 3266 reds(s(plus(x,s(0))),s(s(x))). [ur(21,a,91,a,b,2684,a)]. 3.018/3.018 3.018/3.018 given #631 (T,wt=9): 3273 reds(U11(tt,c1,c1),s(plus(c2,c2))). [ur(21,a,31,a,b,2690,a)]. 3.018/3.018 3.018/3.018 given #632 (T,wt=9): 3338 reds(U12(tt,s(0),c1),s(s(c2))). [ur(21,a,32,a,b,3261,a)]. 3.018/3.018 3.018/3.018 given #633 (T,wt=9): 3369 reds(U12(tt,s(0),x),s(s(x))). [ur(21,a,32,a,b,3266,a)]. 3.018/3.018 3.018/3.018 given #634 (A,wt=15): 137 red(x(s(U11(tt,x,y)),z),x(s(U12(tt,x,y)),z)). [ur(28,a,41,a)]. 3.018/3.018 3.018/3.018 given #635 (F,wt=12): 3214 -reds(x(c2,s(c_M)),x) | -red(U21(tt,c_M,c1),x). [resolve(133,c,20,a)]. 3.018/3.018 3.018/3.018 given #636 (F,wt=12): 3224 -red(x(c2,s(c_M)),plus(plus(x(c1,c_M),0),c1)). [ur(21,b,607,a,c,3215,a)]. 3.018/3.018 3.018/3.018 given #637 (F,wt=12): 3227 -red(x(c2,s(c_M)),plus(x(c1,c_M),plus(c1,0))). [ur(21,b,574,a,c,3215,a)]. 3.018/3.018 3.018/3.018 given #638 (F,wt=12): 3232 -red(x(c2,s(c_M)),plus(plus(x(c1,c_M),c1),0)). [ur(21,b,90,a,c,3215,a)]. 3.018/3.018 3.018/3.018 given #639 (T,wt=9): 3378 reds(U11(tt,s(0),c1),s(s(c2))). [ur(21,a,31,a,b,3338,a)]. 3.018/3.018 3.018/3.018 given #640 (T,wt=9): 3383 reds(U11(tt,s(0),x),s(s(x))). [ur(21,a,31,a,b,3369,a)]. 3.018/3.018 3.018/3.018 given #641 (T,wt=9): 3409 reds(plus(c1,s(s(0))),s(s(c2))). [ur(21,a,36,a,b,3378,a)]. 3.018/3.018 3.018/3.018 given #642 (T,wt=9): 3414 reds(plus(x,s(s(0))),s(s(x))). [ur(21,a,36,a,b,3383,a)]. 3.018/3.018 3.018/3.018 given #643 (A,wt=15): 138 red(plus(x,s(U11(tt,y,z))),plus(x,s(U12(tt,y,z)))). [ur(27,a,41,a)]. 3.018/3.018 3.018/3.018 given #644 (F,wt=12): 3243 -red(U21(tt,c_M,c2),plus(plus(x(c1,c_M),0),c1)). [ur(21,b,607,a,c,3234,a)]. 3.018/3.018 3.018/3.018 given #645 (F,wt=12): 3246 -red(U21(tt,c_M,c2),plus(x(c1,c_M),plus(c1,0))). [ur(21,b,574,a,c,3234,a)]. 3.018/3.018 3.018/3.018 given #646 (F,wt=12): 3251 -red(U21(tt,c_M,c2),plus(plus(x(c1,c_M),c1),0)). [ur(21,b,90,a,c,3234,a)]. 3.018/3.018 3.018/3.018 given #647 (F,wt=12): 3292 -red(U22(tt,c_M,c2),plus(plus(x(c1,c_M),0),c1)). [ur(21,b,607,a,c,3253,a)]. 3.018/3.018 3.018/3.018 given #648 (T,wt=10): 372 reds(U22(tt,x,c1),plus(x(c1,x),c2)). [ur(21,a,34,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #649 (T,wt=10): 420 reds(plus(U22(tt,x,0),0),x(0,x)). [ur(21,a,35,a,b,156,a)]. 3.018/3.018 3.018/3.018 given #650 (T,wt=10): 422 reds(plus(plus(U22(tt,0,0),0),0),0). [ur(21,a,35,a,b,293,a)]. 3.018/3.018 3.018/3.018 given #651 (T,wt=10): 423 reds(plus(plus(U21(tt,0,0),0),0),0). [ur(21,a,35,a,b,296,a)]. 3.018/3.018 3.018/3.018 given #652 (A,wt=15): 139 red(plus(s(U11(tt,x,y)),z),plus(s(U12(tt,x,y)),z)). [ur(26,a,41,a)]. 3.018/3.018 3.018/3.018 given #653 (F,wt=10): 3456 -reds(x(c2,s(c_M)),plus(x(c1,c_M),c2)). [resolve(372,a,2980,b)]. 3.018/3.018 3.018/3.018 given #654 (F,wt=10): 3523 -red(x(c2,s(c_M)),plus(x(c1,c_M),c2)). [ur(21,b,20,a,c,3456,a)]. 3.018/3.018 3.018/3.018 given #655 (F,wt=10): 3524 -reds(U21(tt,c_M,c2),plus(x(c1,c_M),c2)). [ur(21,a,38,a,c,3456,a)]. 3.018/3.018 3.018/3.018 given #656 (F,wt=10): 3542 -red(U21(tt,c_M,c2),plus(x(c1,c_M),c2)). [ur(21,b,20,a,c,3524,a)]. 3.018/3.018 3.018/3.018 given #657 (T,wt=10): 424 reds(plus(plus(x(0,s(0)),0),0),0). [ur(21,a,35,a,b,308,a)]. 3.018/3.018 3.018/3.018 given #658 (T,wt=10): 451 reds(plus(U21(tt,x,0),0),x(0,x)). [ur(21,a,35,a,b,421,a)]. 3.018/3.018 3.018/3.018 given #659 (T,wt=10): 464 reds(plus(x(0,s(x)),0),x(0,x)). [ur(21,a,35,a,b,450,a)]. 3.018/3.018 3.018/3.018 given #660 (T,wt=9): 3559 reds(U22(tt,s(x),0),x(0,x)). [ur(21,a,34,a,b,464,a)]. 3.018/3.018 3.018/3.018 given #661 (A,wt=17): 140 red(U22(s(U11(tt,x,y)),z,u),U22(s(U12(tt,x,y)),z,u)). [ur(25,a,41,a)]. 3.018/3.018 3.018/3.018 given #662 (F,wt=10): 3543 -reds(U22(tt,c_M,c2),plus(x(c1,c_M),c2)). [ur(21,a,33,a,c,3524,a)]. 3.018/3.018 3.018/3.018 given #663 (F,wt=10): 3592 -red(U22(tt,c_M,c2),plus(x(c1,c_M),c2)). [ur(21,b,20,a,c,3543,a)]. 3.018/3.018 3.018/3.018 given #664 (F,wt=11): 3593 -reds(plus(x(c2,c_M),c2),plus(x(c1,c_M),c2)). [ur(21,a,34,a,c,3543,a)]. 3.018/3.018 3.018/3.018 given #665 (F,wt=11): 3611 -red(plus(x(c2,c_M),c2),plus(x(c1,c_M),c2)). [ur(21,b,20,a,c,3593,a)]. 3.018/3.018 3.018/3.018 given #666 (T,wt=9): 3564 reds(U21(tt,s(x),0),x(0,x)). [ur(21,a,33,a,b,3559,a)]. 3.018/3.018 3.018/3.018 given #667 (T,wt=9): 3616 reds(x(0,s(s(x))),x(0,x)). [ur(21,a,38,a,b,3564,a)]. 3.018/3.018 3.018/3.018 given #668 (T,wt=10): 479 reds(x(0,plus(s(x),0)),x(0,x)). [ur(21,a,82,a,b,450,a)]. 3.018/3.018 3.018/3.018 given #669 (T,wt=10): 510 reds(x(0,plus(plus(s(0),0),0)),0). [ur(21,a,82,a,b,482,a)]. 3.018/3.018 3.018/3.018 given #670 (A,wt=17): 141 red(U21(s(U11(tt,x,y)),z,u),U21(s(U12(tt,x,y)),z,u)). [ur(24,a,41,a)]. 3.018/3.018 3.018/3.018 given #671 (F,wt=7): 3612 -red(x(c2,c_M),x(c1,c_M)). [resolve(3611,a,26,b)]. 3.018/3.018 3.018/3.018 given #672 (F,wt=12): 3295 -red(U22(tt,c_M,c2),plus(x(c1,c_M),plus(c1,0))). [ur(21,b,574,a,c,3253,a)]. 3.018/3.018 3.018/3.018 given #673 (F,wt=12): 3300 -red(U22(tt,c_M,c2),plus(plus(x(c1,c_M),c1),0)). [ur(21,b,90,a,c,3253,a)]. 3.018/3.018 3.018/3.018 given #674 (F,wt=12): 3405 -reds(x(c2,s(c_M)),U21(x,c_M,c1)) | -red(tt,x). [resolve(3214,b,24,b)]. 3.018/3.018 3.018/3.018 given #675 (T,wt=10): 511 reds(plus(x(0,plus(s(0),0)),0),0). [ur(21,a,35,a,b,482,a)]. 3.018/3.018 3.018/3.018 given #676 (T,wt=9): 3652 reds(U22(tt,plus(s(0),0),0),0). [ur(21,a,34,a,b,511,a)]. 3.018/3.018 3.018/3.018 given #677 (T,wt=9): 3657 reds(U21(tt,plus(s(0),0),0),0). [ur(21,a,33,a,b,3652,a)]. 3.018/3.018 3.018/3.018 given #678 (T,wt=9): 3661 reds(x(0,s(plus(s(0),0))),0). [ur(21,a,38,a,b,3657,a)]. 3.018/3.018 3.018/3.018 given #679 (A,wt=17): 142 red(U12(s(U11(tt,x,y)),z,u),U12(s(U12(tt,x,y)),z,u)). [ur(23,a,41,a)]. 3.018/3.018 3.018/3.018 given #680 (F,wt=12): 3514 -red(x(c2,s(c_M)),plus(plus(x(c1,c_M),0),c2)). [ur(21,b,607,a,c,3456,a)]. 3.018/3.018 3.018/3.018 given #681 (F,wt=12): 3517 -red(x(c2,s(c_M)),plus(x(c1,c_M),plus(c2,0))). [ur(21,b,574,a,c,3456,a)]. 3.018/3.018 3.018/3.018 given #682 (F,wt=12): 3522 -red(x(c2,s(c_M)),plus(plus(x(c1,c_M),c2),0)). [ur(21,b,90,a,c,3456,a)]. 3.018/3.018 3.018/3.018 given #683 (F,wt=12): 3533 -red(U21(tt,c_M,c2),plus(plus(x(c1,c_M),0),c2)). [ur(21,b,607,a,c,3524,a)]. 3.018/3.018 3.018/3.018 given #684 (T,wt=9): 3668 reds(x(0,U12(tt,0,s(0))),0). [ur(21,a,52,a,b,3661,a)]. 3.018/3.018 3.018/3.018 given #685 (T,wt=9): 3685 reds(x(0,U11(tt,0,s(0))),0). [ur(21,a,42,a,b,3668,a)]. 3.018/3.018 3.018/3.018 given #686 (T,wt=9): 3690 reds(x(0,plus(s(0),s(0))),0). [ur(21,a,92,a,b,3685,a)]. 3.018/3.018 3.018/3.018 given #687 (T,wt=10): 521 reds(x(plus(0,0),plus(s(0),0)),0). [ur(21,a,83,a,b,482,a)]. 3.018/3.018 3.018/3.018 given #688 (A,wt=17): 143 red(U11(s(U11(tt,x,y)),z,u),U11(s(U12(tt,x,y)),z,u)). [ur(22,a,41,a)]. 3.018/3.018 3.018/3.018 given #689 (F,wt=12): 3536 -red(U21(tt,c_M,c2),plus(x(c1,c_M),plus(c2,0))). [ur(21,b,574,a,c,3524,a)]. 3.018/3.018 3.018/3.018 given #690 (F,wt=12): 3541 -red(U21(tt,c_M,c2),plus(plus(x(c1,c_M),c2),0)). [ur(21,b,90,a,c,3524,a)]. 3.018/3.018 3.018/3.018 given #691 (F,wt=12): 3583 -red(U22(tt,c_M,c2),plus(plus(x(c1,c_M),0),c2)). [ur(21,b,607,a,c,3543,a)]. 3.018/3.018 3.018/3.018 given #692 (F,wt=12): 3586 -red(U22(tt,c_M,c2),plus(x(c1,c_M),plus(c2,0))). [ur(21,b,574,a,c,3543,a)]. 3.018/3.018 3.018/3.018 given #693 (T,wt=10): 522 reds(x(plus(0,0),s(x)),x(0,x)). [ur(21,a,83,a,b,450,a)]. 3.018/3.018 3.018/3.018 given #694 (T,wt=10): 529 reds(x(plus(plus(0,0),0),s(0)),0). [ur(21,a,83,a,b,525,a)]. 3.018/3.018 3.018/3.018 given #695 (T,wt=10): 530 reds(plus(x(plus(0,0),s(0)),0),0). [ur(21,a,35,a,b,525,a)]. 3.018/3.018 3.018/3.018 given #696 (T,wt=10): 563 reds(plus(x(0,s(0)),plus(0,0)),0). [ur(21,a,84,a,b,308,a)]. 3.018/3.018 3.018/3.018 given #697 (A,wt=11): 144 reds(s(U11(tt,x,y)),s(U12(tt,x,y))). [ur(21,a,41,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #698 (F,wt=12): 3591 -red(U22(tt,c_M,c2),plus(plus(x(c1,c_M),c2),0)). [ur(21,b,90,a,c,3543,a)]. 3.018/3.018 3.018/3.018 given #699 (F,wt=13): 3216 -red(x(c2,s(c_M)),x) | -reds(x,plus(x(c1,c_M),c1)). [resolve(3215,a,21,c)]. 3.018/3.018 3.018/3.018 given #700 (F,wt=13): 3235 -red(U21(tt,c_M,c2),x) | -reds(x,plus(x(c1,c_M),c1)). [resolve(3234,a,21,c)]. 3.018/3.018 3.018/3.018 given #701 (F,wt=13): 3284 -red(U22(tt,c_M,c2),x) | -reds(x,plus(x(c1,c_M),c1)). [resolve(3253,a,21,c)]. 3.018/3.018 3.018/3.018 given #702 (T,wt=10): 564 reds(plus(U21(tt,0,0),plus(0,0)),0). [ur(21,a,84,a,b,296,a)]. 3.018/3.018 3.018/3.018 given #703 (T,wt=10): 565 reds(plus(U22(tt,0,0),plus(0,0)),0). [ur(21,a,84,a,b,293,a)]. 3.018/3.018 3.018/3.018 given #704 (T,wt=10): 655 reds(x(x(x,0),plus(s(0),0)),0). [ur(21,a,103,a,b,482,a)]. 3.018/3.018 3.018/3.018 given #705 (T,wt=10): 656 reds(x(x(x,0),s(y)),x(0,y)). [ur(21,a,103,a,b,450,a)]. 3.018/3.018 3.018/3.018 given #706 (A,wt=11): 166 red(U22(s(c1),x,y),U22(s(c2),x,y)). [ur(25,a,121,a)]. 3.018/3.018 3.018/3.018 given #707 (F,wt=13): 3311 -red(plus(x(c2,c_M),c2),plus(plus(x(c1,c_M),0),c1)). [ur(21,b,607,a,c,3302,a)]. 3.018/3.018 3.018/3.018 given #708 (F,wt=13): 3314 -red(plus(x(c2,c_M),c2),plus(x(c1,c_M),plus(c1,0))). [ur(21,b,574,a,c,3302,a)]. 3.018/3.018 3.018/3.018 given #709 (F,wt=13): 3319 -red(plus(x(c2,c_M),c2),plus(plus(x(c1,c_M),c1),0)). [ur(21,b,90,a,c,3302,a)]. 3.018/3.018 3.018/3.018 given #710 (F,wt=13): 3506 -red(x(c2,s(c_M)),x) | -reds(x,plus(x(c1,c_M),c2)). [resolve(3456,a,21,c)]. 3.018/3.018 3.018/3.018 given #711 (T,wt=10): 677 reds(x(plus(x(x,0),0),s(0)),0). [ur(21,a,83,a,b,658,a)]. 3.018/3.018 3.018/3.018 given #712 (T,wt=9): 3778 reds(x(U22(tt,0,0),s(0)),0). [ur(21,a,73,a,b,677,a)]. 3.018/3.018 3.018/3.018 given #713 (T,wt=9): 3784 reds(x(U21(tt,0,0),s(0)),0). [ur(21,a,63,a,b,3778,a)]. 3.018/3.018 3.018/3.018 given #714 (T,wt=9): 3788 reds(x(x(0,s(0)),s(0)),0). [ur(21,a,113,a,b,3784,a)]. 3.018/3.018 3.018/3.018 given #715 (A,wt=11): 167 red(U21(s(c1),x,y),U21(s(c2),x,y)). [ur(24,a,121,a)]. 3.018/3.018 3.018/3.018 given #716 (F,wt=13): 3525 -red(U21(tt,c_M,c2),x) | -reds(x,plus(x(c1,c_M),c2)). [resolve(3524,a,21,c)]. 3.018/3.018 3.018/3.018 given #717 (F,wt=13): 3575 -red(U22(tt,c_M,c2),x) | -reds(x,plus(x(c1,c_M),c2)). [resolve(3543,a,21,c)]. 3.018/3.018 3.018/3.018 given #718 (F,wt=13): 3602 -red(plus(x(c2,c_M),c2),plus(plus(x(c1,c_M),0),c2)). [ur(21,b,607,a,c,3593,a)]. 3.018/3.018 3.018/3.018 given #719 (F,wt=9): 3811 -red(x(c2,c_M),plus(x(c1,c_M),0)). [resolve(3602,a,26,b)]. 3.018/3.018 3.018/3.018 given #720 (T,wt=10): 678 reds(plus(x(x(x,0),s(0)),0),0). [ur(21,a,35,a,b,658,a)]. 3.018/3.018 3.018/3.018 given #721 (T,wt=10): 688 reds(plus(x(0,s(0)),x(x,0)),0). [ur(21,a,104,a,b,308,a)]. 3.018/3.018 3.018/3.018 given #722 (T,wt=10): 689 reds(plus(U21(tt,0,0),x(x,0)),0). [ur(21,a,104,a,b,296,a)]. 3.018/3.018 3.018/3.018 given #723 (T,wt=10): 690 reds(plus(U22(tt,0,0),x(x,0)),0). [ur(21,a,104,a,b,293,a)]. 3.018/3.018 3.018/3.018 given #724 (A,wt=11): 168 red(U12(s(c1),x,y),U12(s(c2),x,y)). [ur(23,a,121,a)]. 3.018/3.018 3.018/3.018 given #725 (F,wt=13): 3605 -red(plus(x(c2,c_M),c2),plus(x(c1,c_M),plus(c2,0))). [ur(21,b,574,a,c,3593,a)]. 3.018/3.018 3.018/3.018 given #726 (F,wt=13): 3610 -red(plus(x(c2,c_M),c2),plus(plus(x(c1,c_M),c2),0)). [ur(21,b,90,a,c,3593,a)]. 3.018/3.018 3.018/3.018 given #727 (F,wt=13): 3737 -reds(x(c2,x),plus(x(c1,c_M),c1)) | -red(s(c_M),x). [resolve(3216,a,29,b)]. 3.018/3.018 3.018/3.018 given #728 (F,wt=13): 3738 -reds(x(x,s(c_M)),plus(x(c1,c_M),c1)) | -red(c2,x). [resolve(3216,a,28,b)]. 3.018/3.018 3.018/3.018 given #729 (T,wt=10): 822 reds(x(x(x,0),s(c1)),x(0,c2)). [ur(21,a,103,a,b,818,a)]. 3.018/3.018 3.018/3.018 given #730 (T,wt=10): 823 reds(x(plus(0,0),s(c1)),x(0,c2)). [ur(21,a,83,a,b,818,a)]. 3.018/3.018 3.018/3.018 given #731 (T,wt=10): 824 reds(x(0,plus(s(c1),0)),x(0,c2)). [ur(21,a,82,a,b,818,a)]. 3.018/3.018 3.018/3.018 given #732 (T,wt=10): 825 reds(plus(x(0,s(c1)),0),x(0,c2)). [ur(21,a,35,a,b,818,a)]. 3.018/3.018 3.018/3.018 given #733 (A,wt=11): 169 red(U11(s(c1),x,y),U11(s(c2),x,y)). [ur(22,a,121,a)]. 3.018/3.018 3.018/3.018 given #734 (F,wt=13): 3740 -reds(U21(x,c_M,c2),plus(x(c1,c_M),c1)) | -red(tt,x). [resolve(3235,a,24,b)]. 3.018/3.018 3.018/3.018 given #735 (F,wt=13): 3742 -reds(U22(x,c_M,c2),plus(x(c1,c_M),c1)) | -red(tt,x). [resolve(3284,a,25,b)]. 3.018/3.018 3.018/3.018 given #736 (F,wt=13): 3772 -reds(x(c2,x),plus(x(c1,c_M),c2)) | -red(s(c_M),x). [resolve(3506,a,29,b)]. 3.018/3.018 3.018/3.018 given #737 (F,wt=13): 3773 -reds(x(x,s(c_M)),plus(x(c1,c_M),c2)) | -red(c2,x). [resolve(3506,a,28,b)]. 3.018/3.018 3.018/3.018 given #738 (T,wt=9): 3861 reds(U22(tt,s(c1),0),x(0,c2)). [ur(21,a,34,a,b,825,a)]. 3.018/3.018 3.018/3.018 given #739 (T,wt=9): 3881 reds(U21(tt,s(c1),0),x(0,c2)). [ur(21,a,33,a,b,3861,a)]. 3.018/3.018 3.018/3.018 given #740 (T,wt=9): 3885 reds(x(0,s(s(c1))),x(0,c2)). [ur(21,a,38,a,b,3881,a)]. 3.018/3.018 3.018/3.018 given #741 (T,wt=10): 1107 reds(plus(U22(tt,c1,0),0),x(0,c2)). [ur(21,a,35,a,b,1106,a)]. 3.018/3.018 3.018/3.018 given #742 (A,wt=15): 171 red(s(x(x,U11(tt,y,z))),s(x(x,U12(tt,y,z)))). [ur(30,a,42,a)]. 3.018/3.018 3.018/3.018 given #743 (F,wt=13): 3807 -reds(U21(x,c_M,c2),plus(x(c1,c_M),c2)) | -red(tt,x). [resolve(3525,a,24,b)]. 3.018/3.018 3.018/3.018 given #744 (F,wt=13): 3809 -reds(U22(x,c_M,c2),plus(x(c1,c_M),c2)) | -red(tt,x). [resolve(3575,a,25,b)]. 3.018/3.018 3.018/3.018 given #745 (F,wt=13): 3840 -reds(x(c2,s(x)),plus(x(c1,c_M),c1)) | -red(c_M,x). [resolve(3737,b,30,b)]. 3.018/3.018 3.018/3.018 given #746 (F,wt=13): 3875 -reds(x(c2,s(x)),plus(x(c1,c_M),c2)) | -red(c_M,x). [resolve(3772,b,30,b)]. 3.018/3.018 3.018/3.018 given #747 (T,wt=10): 1109 reds(plus(U21(tt,c1,0),0),x(0,c2)). [ur(21,a,35,a,b,1108,a)]. 3.018/3.018 3.018/3.018 given #748 (T,wt=10): 1238 reds(s(U22(tt,x,0)),s(x(0,x))). [ur(21,a,71,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #749 (T,wt=10): 1240 reds(plus(U22(tt,s(s(0)),0),0),0). [ur(21,a,35,a,b,1227,a)]. 3.018/3.018 3.018/3.018 given #750 (T,wt=10): 1242 reds(s(plus(U22(tt,0,0),0)),s(0)). [ur(21,a,81,a,b,1237,a)]. 3.018/3.018 3.018/3.018 given #751 (A,wt=17): 172 red(x(x,x(y,U11(tt,z,u))),x(x,x(y,U12(tt,z,u)))). [ur(29,a,42,a)]. 3.018/3.018 3.018/3.018 given #752 (F,wt=14): 577 -red(plus(x(c1,c_M),c2),plus(x(c2,s(c_M)),plus(0,0))). [resolve(573,a,279,b)]. 3.018/3.018 3.018/3.018 given #753 (F,wt=14): 578 -red(plus(x(c2,c_M),c2),plus(U21(tt,c_M,c1),plus(0,0))). [resolve(573,a,225,b)]. 3.018/3.018 3.018/3.018 given #754 (F,wt=14): 579 -red(plus(x(c1,c_M),c1),plus(x(c2,s(c_M)),plus(0,0))). [resolve(573,a,222,b)]. 3.018/3.018 3.018/3.018 given #755 (F,wt=14): 589 -red(plus(x(c2,c_M),c2),plus(U22(tt,c_M,c1),plus(0,0))). [ur(21,b,573,a,c,546,a)]. 3.018/3.018 3.018/3.018 given #756 (T,wt=10): 1244 reds(plus(s(U22(tt,0,0)),0),s(0)). [ur(21,a,35,a,b,1237,a)]. 3.018/3.018 3.018/3.018 given #757 (T,wt=10): 1246 reds(plus(U21(tt,s(s(0)),0),0),0). [ur(21,a,35,a,b,1241,a)]. 3.018/3.018 3.018/3.018 given #758 (T,wt=10): 1247 reds(s(plus(U21(tt,0,0),0)),s(0)). [ur(21,a,81,a,b,1243,a)]. 3.018/3.018 3.018/3.018 given #759 (T,wt=10): 1248 reds(plus(s(U21(tt,0,0)),0),s(0)). [ur(21,a,35,a,b,1243,a)]. 3.018/3.018 3.018/3.018 given #760 (A,wt=17): 173 red(x(x(x,U11(tt,y,z)),u),x(x(x,U12(tt,y,z)),u)). [ur(28,a,42,a)]. 3.018/3.018 3.018/3.018 given #761 (F,wt=14): 704 -red(plus(x(c1,c_M),c2),plus(x(c2,s(c_M)),x(x,0))). [resolve(697,a,279,b)]. 3.018/3.018 3.018/3.018 given #762 (F,wt=14): 705 -red(plus(x(c2,c_M),c2),plus(U21(tt,c_M,c1),x(x,0))). [resolve(697,a,225,b)]. 3.018/3.018 3.018/3.018 given #763 (F,wt=14): 706 -red(plus(x(c1,c_M),c1),plus(x(c2,s(c_M)),x(x,0))). [resolve(697,a,222,b)]. 3.018/3.018 3.018/3.018 given #764 (F,wt=14): 717 -red(plus(x(c2,c_M),c2),plus(U22(tt,c_M,c1),x(x,0))). [ur(21,b,697,a,c,546,a)]. 3.018/3.018 3.018/3.018 given #765 (T,wt=10): 1260 reds(x(x(x,0),s(s(s(0)))),0). [ur(21,a,103,a,b,1245,a)]. 3.018/3.018 3.018/3.018 given #766 (T,wt=10): 1261 reds(x(plus(0,0),s(s(s(0)))),0). [ur(21,a,83,a,b,1245,a)]. 3.018/3.018 3.018/3.018 given #767 (T,wt=10): 1262 reds(x(0,plus(s(s(s(0))),0)),0). [ur(21,a,82,a,b,1245,a)]. 3.018/3.018 3.018/3.018 given #768 (T,wt=10): 1263 reds(plus(x(0,s(s(s(0)))),0),0). [ur(21,a,35,a,b,1245,a)]. 3.018/3.018 3.018/3.018 given #769 (A,wt=17): 174 red(plus(x,x(y,U11(tt,z,u))),plus(x,x(y,U12(tt,z,u)))). [ur(27,a,42,a)]. 3.018/3.018 3.018/3.018 given #770 (F,wt=14): 909 -red(plus(x(c1,c_M),c1),plus(U21(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,849,a)]. 3.018/3.018 3.018/3.018 given #771 (F,wt=14): 910 -red(plus(x(c1,c_M),c1),plus(U21(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,849,a)]. 3.018/3.018 3.018/3.018 given #772 (F,wt=14): 911 -red(plus(x(c1,c_M),c1),plus(plus(U21(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,849,a)]. 3.018/3.018 3.018/3.018 given #773 (F,wt=14): 916 -red(plus(x(c1,c_M),c2),plus(U21(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,914,a)]. 3.018/3.018 3.018/3.018 given #774 (T,wt=9): 4007 reds(U22(tt,s(s(s(0))),0),0). [ur(21,a,34,a,b,1263,a)]. 3.018/3.018 3.018/3.018 given #775 (T,wt=9): 4027 reds(U21(tt,s(s(s(0))),0),0). [ur(21,a,33,a,b,4007,a)]. 3.018/3.018 3.018/3.018 given #776 (T,wt=9): 4031 reds(x(0,s(s(s(s(0))))),0). [ur(21,a,38,a,b,4027,a)]. 3.018/3.018 3.018/3.018 given #777 (T,wt=10): 1381 reds(plus(U22(tt,plus(0,0),0),0),0). [ur(21,a,35,a,b,1380,a)]. 3.018/3.018 3.018/3.018 given #778 (A,wt=17): 175 red(plus(x(x,U11(tt,y,z)),u),plus(x(x,U12(tt,y,z)),u)). [ur(26,a,42,a)]. 3.018/3.018 3.018/3.018 given #779 (F,wt=14): 917 -red(plus(x(c1,c_M),c2),plus(U21(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,914,a)]. 3.018/3.018 3.018/3.018 given #780 (F,wt=14): 918 -red(plus(x(c1,c_M),c2),plus(plus(U21(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,914,a)]. 3.018/3.018 3.018/3.018 given #781 (F,wt=14): 1061 -red(plus(x(c2,c_M),c1),plus(x(c2,s(c_M)),x(x,0))). [ur(21,b,697,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #782 (F,wt=14): 1062 -red(plus(x(c2,c_M),c1),plus(x(c2,s(c_M)),plus(0,0))). [ur(21,b,573,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #783 (T,wt=10): 1384 reds(plus(U21(tt,plus(0,0),0),0),0). [ur(21,a,35,a,b,1382,a)]. 3.018/3.018 3.018/3.018 given #784 (T,wt=10): 1404 reds(x(x(x,0),s(plus(0,0))),0). [ur(21,a,103,a,b,1383,a)]. 3.018/3.018 3.018/3.018 given #785 (T,wt=10): 1405 reds(x(plus(0,0),s(plus(0,0))),0). [ur(21,a,83,a,b,1383,a)]. 3.018/3.018 3.018/3.018 given #786 (T,wt=10): 1406 reds(x(0,plus(s(plus(0,0)),0)),0). [ur(21,a,82,a,b,1383,a)]. 3.018/3.018 3.018/3.018 given #787 (A,wt=19): 176 red(U22(x(x,U11(tt,y,z)),u,w),U22(x(x,U12(tt,y,z)),u,w)). [ur(25,a,42,a)]. 3.018/3.018 3.018/3.018 given #788 (F,wt=14): 1065 -red(plus(x(c2,c_M),c1),plus(plus(x(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,1057,a)]. 3.018/3.018 3.018/3.018 given #789 (F,wt=14): 1097 -red(plus(x(c2,c_M),c2),plus(x(c2,s(c_M)),x(x,0))). [ur(21,b,697,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #790 (F,wt=14): 1098 -red(plus(x(c2,c_M),c2),plus(x(c2,s(c_M)),plus(0,0))). [ur(21,b,573,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #791 (F,wt=14): 1100 -red(plus(x(c2,c_M),c2),plus(plus(x(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,1068,a)]. 3.018/3.018 3.018/3.018 given #792 (T,wt=10): 1408 reds(plus(x(0,s(plus(0,0))),0),0). [ur(21,a,35,a,b,1383,a)]. 3.018/3.018 3.018/3.018 given #793 (T,wt=9): 4111 reds(U22(tt,s(plus(0,0)),0),0). [ur(21,a,34,a,b,1408,a)]. 3.018/3.018 3.018/3.018 given #794 (T,wt=9): 4116 reds(U21(tt,s(plus(0,0)),0),0). [ur(21,a,33,a,b,4111,a)]. 3.018/3.018 3.018/3.018 given #795 (T,wt=9): 4120 reds(x(0,s(s(plus(0,0)))),0). [ur(21,a,38,a,b,4116,a)]. 3.018/3.018 3.018/3.018 given #796 (A,wt=19): 177 red(U21(x(x,U11(tt,y,z)),u,w),U21(x(x,U12(tt,y,z)),u,w)). [ur(24,a,42,a)]. 3.018/3.018 3.018/3.018 given #797 (F,wt=14): 1361 -red(plus(x(c1,c_M),c1),plus(U22(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,1310,a)]. 3.018/3.018 3.018/3.018 given #798 (F,wt=14): 1362 -red(plus(x(c1,c_M),c1),plus(U22(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,1310,a)]. 3.018/3.018 3.018/3.018 given #799 (F,wt=14): 1364 -red(plus(x(c1,c_M),c1),plus(plus(U22(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,1310,a)]. 3.018/3.018 3.018/3.018 given #800 (F,wt=14): 1369 -red(plus(x(c1,c_M),c2),plus(U22(tt,c_M,c2),x(x,0))). [ur(21,b,697,a,c,1367,a)]. 3.018/3.018 3.018/3.018 given #801 (T,wt=10): 1409 reds(x(x(x,0),U12(tt,0,0)),0). [ur(21,a,103,a,b,1407,a)]. 3.018/3.018 3.018/3.018 given #802 (T,wt=10): 1410 reds(x(plus(0,0),U12(tt,0,0)),0). [ur(21,a,83,a,b,1407,a)]. 3.018/3.018 3.018/3.018 given #803 (T,wt=10): 1411 reds(x(0,plus(U12(tt,0,0),0)),0). [ur(21,a,82,a,b,1407,a)]. 3.018/3.018 3.018/3.018 given #804 (T,wt=10): 1413 reds(plus(x(0,U12(tt,0,0)),0),0). [ur(21,a,35,a,b,1407,a)]. 3.018/3.018 3.018/3.018 given #805 (A,wt=19): 178 red(U12(x(x,U11(tt,y,z)),u,w),U12(x(x,U12(tt,y,z)),u,w)). [ur(23,a,42,a)]. 3.018/3.018 3.018/3.018 given #806 (F,wt=14): 1370 -red(plus(x(c1,c_M),c2),plus(U22(tt,c_M,c2),plus(0,0))). [ur(21,b,573,a,c,1367,a)]. 3.018/3.018 3.018/3.018 given #807 (F,wt=14): 1372 -red(plus(x(c1,c_M),c2),plus(plus(U22(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,1367,a)]. 3.018/3.018 3.018/3.018 given #808 (F,wt=14): 1970 -red(U22(tt,c_M,c1),plus(U22(tt,c_M,c2),U22(tt,0,0))). [resolve(1962,a,1303,b)]. 3.018/3.018 3.018/3.018 given #809 (F,wt=14): 1971 -red(U21(tt,c_M,c1),plus(U22(tt,c_M,c2),U22(tt,0,0))). [resolve(1962,a,1295,b)]. 3.018/3.018 3.018/3.018 given #810 (T,wt=9): 4157 reds(U22(tt,U12(tt,0,0),0),0). [ur(21,a,34,a,b,1413,a)]. 3.018/3.018 3.018/3.018 given #811 (T,wt=9): 4172 reds(U21(tt,U12(tt,0,0),0),0). [ur(21,a,33,a,b,4157,a)]. 3.018/3.018 3.018/3.018 given #812 (T,wt=9): 4176 reds(x(0,s(U12(tt,0,0))),0). [ur(21,a,38,a,b,4172,a)]. 3.018/3.018 3.018/3.018 given #813 (T,wt=9): 4180 reds(x(0,s(U11(tt,0,0))),0). [ur(21,a,136,a,b,4176,a)]. 3.018/3.018 3.018/3.018 given #814 (A,wt=19): 179 red(U11(x(x,U11(tt,y,z)),u,w),U11(x(x,U12(tt,y,z)),u,w)). [ur(22,a,42,a)]. 3.018/3.018 3.018/3.018 given #815 (F,wt=14): 1976 -red(U22(tt,c_M,c1),plus(U21(tt,c_M,c2),U22(tt,0,0))). [resolve(1962,a,843,b)]. 3.018/3.018 3.018/3.018 given #816 (F,wt=14): 1977 -red(U21(tt,c_M,c1),plus(U21(tt,c_M,c2),U22(tt,0,0))). [resolve(1962,a,836,b)]. 3.018/3.018 3.018/3.018 given #817 (F,wt=14): 1979 -red(U22(tt,c_M,c2),plus(U22(tt,c_M,c1),U22(tt,0,0))). [resolve(1962,a,542,b)]. 3.018/3.018 3.018/3.018 given #818 (F,wt=14): 1980 -red(U21(tt,c_M,c2),plus(U22(tt,c_M,c1),U22(tt,0,0))). [resolve(1962,a,503,b)]. 3.018/3.018 3.018/3.018 given #819 (T,wt=10): 1414 reds(x(x(x,0),U11(tt,0,0)),0). [ur(21,a,103,a,b,1412,a)]. 3.018/3.018 3.018/3.018 given #820 (T,wt=10): 1415 reds(x(plus(0,0),U11(tt,0,0)),0). [ur(21,a,83,a,b,1412,a)]. 3.018/3.018 3.018/3.018 given #821 (T,wt=10): 1416 reds(x(0,plus(U11(tt,0,0),0)),0). [ur(21,a,82,a,b,1412,a)]. 3.018/3.018 3.018/3.018 given #822 (T,wt=10): 1417 reds(plus(x(0,U11(tt,0,0)),0),0). [ur(21,a,35,a,b,1412,a)]. 3.018/3.018 3.018/3.018 given #823 (A,wt=13): 180 reds(x(x,U11(tt,y,z)),x(x,U12(tt,y,z))). [ur(21,a,42,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #824 (F,wt=14): 1981 -red(x(c2,s(c_M)),plus(U22(tt,c_M,c1),U22(tt,0,0))). [resolve(1962,a,498,b)]. 3.018/3.018 3.018/3.018 given #825 (F,wt=14): 1985 -red(U22(tt,c_M,c2),plus(U21(tt,c_M,c1),U22(tt,0,0))). [resolve(1962,a,218,b)]. 3.018/3.018 3.018/3.018 given #826 (F,wt=14): 1986 -red(U21(tt,c_M,c2),plus(U21(tt,c_M,c1),U22(tt,0,0))). [resolve(1962,a,181,b)]. 3.018/3.018 3.018/3.018 given #827 (F,wt=14): 1987 -red(U22(tt,c_M,c1),plus(x(c2,s(c_M)),U22(tt,0,0))). [resolve(1962,a,151,b)]. 3.018/3.018 3.018/3.018 given #828 (T,wt=9): 4220 reds(U22(tt,U11(tt,0,0),0),0). [ur(21,a,34,a,b,1417,a)]. 3.018/3.018 3.018/3.018 given #829 (T,wt=9): 4237 reds(U21(tt,U11(tt,0,0),0),0). [ur(21,a,33,a,b,4220,a)]. 3.018/3.018 3.018/3.018 given #830 (T,wt=10): 1535 reds(plus(U22(tt,0,plus(0,0)),0),0). [ur(21,a,35,a,b,1524,a)]. 3.018/3.018 3.018/3.018 given #831 (T,wt=10): 1537 reds(plus(U21(tt,0,plus(0,0)),0),0). [ur(21,a,35,a,b,1536,a)]. 3.018/3.018 3.018/3.018 given #832 (A,wt=11): 188 red(x(x,s(plus(y,0))),x(x,s(y))). [ur(29,a,81,a)]. 3.018/3.018 3.018/3.018 given #833 (F,wt=14): 1988 -red(x(c2,s(c_M)),plus(U21(tt,c_M,c1),U22(tt,0,0))). [resolve(1962,a,148,b)]. 3.018/3.018 3.018/3.018 given #834 (F,wt=14): 1989 -red(U21(tt,c_M,c1),plus(x(c2,s(c_M)),U22(tt,0,0))). [resolve(1962,a,145,b)]. 3.018/3.018 3.018/3.018 given #835 (F,wt=14): 2014 -red(U22(tt,c_M,c1),plus(U22(tt,c_M,c2),U21(tt,0,0))). [resolve(1997,a,1303,b)]. 3.018/3.018 3.018/3.018 given #836 (F,wt=14): 2015 -red(U21(tt,c_M,c1),plus(U22(tt,c_M,c2),U21(tt,0,0))). [resolve(1997,a,1295,b)]. 3.018/3.018 3.018/3.018 given #837 (T,wt=10): 1574 reds(U21(tt,x,y),plus(x(y,x),y)). [ur(21,a,33,a,b,80,a)]. 3.018/3.018 3.018/3.018 given #838 (T,wt=10): 1646 reds(U22(plus(tt,0),0,plus(0,0)),0). [ur(21,a,86,a,b,1524,a)]. 3.018/3.018 3.018/3.018 given #839 (T,wt=10): 1647 reds(U22(plus(tt,0),plus(0,0),0),0). [ur(21,a,86,a,b,1380,a)]. 3.018/3.018 3.018/3.018 given #840 (T,wt=10): 1648 reds(U22(plus(tt,0),s(s(0)),0),0). [ur(21,a,86,a,b,1227,a)]. 3.018/3.018 3.018/3.018 given #841 (A,wt=11): 189 red(x(s(plus(x,0)),y),x(s(x),y)). [ur(28,a,81,a)]. 3.018/3.018 3.018/3.018 given #842 (F,wt=10): 4303 -reds(U21(tt,c_M,c1),plus(x(c2,c_M),c2)). [resolve(1574,a,2714,b)]. 3.018/3.018 3.018/3.018 given #843 (F,wt=10): 4363 -red(U21(tt,c_M,c1),plus(x(c2,c_M),c1)). [ur(21,b,257,a,c,4303,a)]. 3.018/3.018 3.018/3.018 given #844 (F,wt=10): 4366 -red(U21(tt,c_M,c1),plus(x(c2,c_M),c2)). [ur(21,b,20,a,c,4303,a)]. 3.018/3.018 3.018/3.018 given #845 (F,wt=10): 4367 -reds(U22(tt,c_M,c1),plus(x(c2,c_M),c2)). [ur(21,a,33,a,c,4303,a)]. 3.018/3.018 3.018/3.018 given #846 (T,wt=10): 1649 reds(U22(plus(tt,0),c1,0),x(0,c2)). [ur(21,a,86,a,b,1106,a)]. 3.018/3.018 3.018/3.018 given #847 (T,wt=10): 1652 reds(U22(plus(tt,0),x,0),x(0,x)). [ur(21,a,86,a,b,156,a)]. 3.018/3.018 3.018/3.018 given #848 (T,wt=10): 1655 reds(U22(plus(plus(tt,0),0),0,0),0). [ur(21,a,86,a,b,1651,a)]. 3.018/3.018 3.018/3.018 given #849 (T,wt=10): 1656 reds(plus(U22(plus(tt,0),0,0),0),0). [ur(21,a,35,a,b,1651,a)]. 3.018/3.018 3.018/3.018 given #850 (A,wt=11): 190 red(plus(x,s(plus(y,0))),plus(x,s(y))). [ur(27,a,81,a)]. 3.018/3.018 3.018/3.018 given #851 (F,wt=10): 4386 -red(U22(tt,c_M,c1),plus(x(c2,c_M),c1)). [ur(21,b,257,a,c,4367,a)]. 3.018/3.018 3.018/3.018 given #852 (F,wt=10): 4389 -red(U22(tt,c_M,c1),plus(x(c2,c_M),c2)). [ur(21,b,20,a,c,4367,a)]. 3.018/3.018 3.018/3.018 given #853 (F,wt=11): 4390 -reds(plus(x(c1,c_M),c1),plus(x(c2,c_M),c2)). [ur(21,a,34,a,c,4367,a)]. 3.018/3.018 3.018/3.018 ============================== PROOF ================================= 3.018/3.018 3.018/3.018 % Proof 1 at 0.17 (+ 0.01) seconds. 3.018/3.018 % Length of proof is 30. 3.018/3.018 % Level of proof is 7. 3.018/3.018 % Maximum clause weight is 15.000. 3.018/3.018 % Given clauses 853. 3.018/3.018 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 6 red(x,y) -> red(plus(x,z2),plus(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 7 red(x,y) -> red(plus(z1,x),plus(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 8 red(x,y) -> red(x(x,z2),x(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 13 (all M all N red(U21(tt,M,N),U22(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 14 (all M all N red(U22(tt,M,N),plus(x(N,M),N))) # label(non_clause). [assumption]. 3.018/3.018 18 (all M all N red(x(N,s(M)),U21(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all N all y exists z (red(N,y) -> reds(x(y,s(c_M)),z) & reds(U21(tt,c_M,N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(x(c2,s(c_M)),x) | -reds(U21(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 80 reds(U22(tt,x,y),plus(x(y,x),y)). [ur(21,a,34,a,b,20,a)]. 3.018/3.018 123 red(x(c1,x),x(c2,x)). [ur(28,a,39,a)]. 3.018/3.018 124 red(plus(x,c1),plus(x,c2)). [ur(27,a,39,a)]. 3.018/3.018 131 -reds(U21(tt,c_M,c1),x) | -red(x(c2,s(c_M)),y) | -reds(y,x). [resolve(40,a,21,c)]. 3.018/3.018 242 red(plus(x(c1,x),y),plus(x(c2,x),y)). [ur(26,a,123,a)]. 3.018/3.018 257 reds(plus(x,c1),plus(x,c2)). [ur(21,a,124,a,b,20,a)]. 3.018/3.018 1574 reds(U21(tt,x,y),plus(x(y,x),y)). [ur(21,a,33,a,b,80,a)]. 3.018/3.018 2714 -reds(U21(tt,c_M,c1),x) | -reds(U21(tt,c_M,c2),x). [resolve(131,b,38,a)]. 3.018/3.018 4303 -reds(U21(tt,c_M,c1),plus(x(c2,c_M),c2)). [resolve(1574,a,2714,b)]. 3.018/3.018 4367 -reds(U22(tt,c_M,c1),plus(x(c2,c_M),c2)). [ur(21,a,33,a,c,4303,a)]. 3.018/3.018 4390 -reds(plus(x(c1,c_M),c1),plus(x(c2,c_M),c2)). [ur(21,a,34,a,c,4367,a)]. 3.018/3.018 4463 $F. [ur(21,b,257,a,c,4390,a),unit_del(a,242)]. 3.018/3.018 3.018/3.018 ============================== end of proof ========================== 3.018/3.018 3.018/3.018 ============================== STATISTICS ============================ 3.018/3.018 3.018/3.018 Given=853. Generated=6327. Kept=4443. proofs=1. 3.018/3.018 Usable=853. Sos=3572. Demods=0. Limbo=18, Disabled=21. Hints=0. 3.018/3.018 Kept_by_rule=0, Deleted_by_rule=0. 3.018/3.018 Forward_subsumed=1883. Back_subsumed=0. 3.018/3.018 Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. 3.018/3.018 New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. 3.018/3.018 Demod_attempts=0. Demod_rewrites=0. 3.018/3.018 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. 3.018/3.018 Nonunit_fsub_feature_tests=17035. Nonunit_bsub_feature_tests=744. 3.018/3.018 Megabytes=8.07. 3.018/3.018 User_CPU=0.18, System_CPU=0.01, Wall_clock=1. 3.018/3.018 3.018/3.018 ============================== end of statistics ===================== 3.018/3.018 3.018/3.018 ============================== end of search ========================= 3.018/3.018 3.018/3.018 THEOREM PROVED 3.018/3.018 3.018/3.018 Exiting with 1 proof. 3.018/3.018 3.018/3.018 Process 43340 exit (max_proofs) Tue Nov 16 11:31:43 2021 3.018/3.018 3.018/3.018 3.018/3.018 The problem is joinable. 3.018/3.018 3.018/3.018 Problem 1.1.2: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N2 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Huet Brute Force Joinability Processor: 3.018/3.018 That is a LHCP. Trying another procedure. 3.018/3.018 3.018/3.018 Problem 1.1.2: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N2 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Prover9 LHCP Convergence Checker Processor: 3.018/3.018 formulas(sos). 3.018/3.018 %Reflexivity 3.018/3.018 reds(x,x). 3.018/3.018 3.018/3.018 %Transitivity 3.018/3.018 (red(x,y) & reds(y,z)) -> reds(x,z). 3.018/3.018 3.018/3.018 %Congruence 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 3.018/3.018 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 %Replacement 3.018/3.018 all M all N ( red(U11(tt,M,N),U12(tt,M,N)) ). 3.018/3.018 all M all N ( red(U12(tt,M,N),s(plus(N,M))) ). 3.018/3.018 all M all N ( red(U21(tt,M,N),U22(tt,M,N)) ). 3.018/3.018 all M all N ( red(U22(tt,M,N),plus(x(N,M),N)) ). 3.018/3.018 all N ( red(plus(N,0),N) ). 3.018/3.018 all M all N ( red(plus(N,s(M)),U11(tt,M,N)) ). 3.018/3.018 all N ( red(x(N,0),0) ). 3.018/3.018 all M all N ( red(x(N,s(M)),U21(tt,M,N)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 all M all y exists z ( red(M,y) -> (reds(plus(c_N,s(y)),z) & reds(U11(tt,M,c_N),z)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 Proof: 3.018/3.018 ============================== Prover9 =============================== 3.018/3.018 Prover9 (64) version 2009-11A, November 2009. 3.018/3.018 Process 43366 was started by ubuntu on ubuntu, 3.018/3.018 Tue Nov 16 11:31:43 2021 3.018/3.018 The command was "./prover9 -t 30 -f /tmp/prover943235-14.in". 3.018/3.018 ============================== end of head =========================== 3.018/3.018 3.018/3.018 ============================== INPUT ================================= 3.018/3.018 3.018/3.018 % Reading from file /tmp/prover943235-14.in 3.018/3.018 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). 3.018/3.018 red(x,y) & reds(y,z) -> reds(x,z). 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 (all M all N red(U11(tt,M,N),U12(tt,M,N))). 3.018/3.018 (all M all N red(U12(tt,M,N),s(plus(N,M)))). 3.018/3.018 (all M all N red(U21(tt,M,N),U22(tt,M,N))). 3.018/3.018 (all M all N red(U22(tt,M,N),plus(x(N,M),N))). 3.018/3.018 (all N red(plus(N,0),N)). 3.018/3.018 (all M all N red(plus(N,s(M)),U11(tt,M,N))). 3.018/3.018 (all N red(x(N,0),0)). 3.018/3.018 (all M all N red(x(N,s(M)),U21(tt,M,N))). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 (all M all y exists z (red(M,y) -> reds(plus(c_N,s(y)),z) & reds(U11(tt,M,c_N),z))). 3.018/3.018 end_of_list. 3.018/3.018 assign(max_megs,-1). 3.018/3.018 set(quiet). 3.018/3.018 3.018/3.018 ============================== end of input ========================== 3.018/3.018 3.018/3.018 % From the command line: assign(max_seconds, 30). 3.018/3.018 3.018/3.018 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 3.018/3.018 3.018/3.018 % Formulas that are not ordinary clauses: 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 2 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 3 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 4 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 5 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 6 red(x,y) -> red(plus(x,z2),plus(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 7 red(x,y) -> red(plus(z1,x),plus(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 8 red(x,y) -> red(x(x,z2),x(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 9 red(x,y) -> red(x(z1,x),x(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 10 red(x,y) -> red(s(x),s(y)) # label(non_clause). [assumption]. 3.018/3.018 11 (all M all N red(U11(tt,M,N),U12(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 12 (all M all N red(U12(tt,M,N),s(plus(N,M)))) # label(non_clause). [assumption]. 3.018/3.018 13 (all M all N red(U21(tt,M,N),U22(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 14 (all M all N red(U22(tt,M,N),plus(x(N,M),N))) # label(non_clause). [assumption]. 3.018/3.018 15 (all N red(plus(N,0),N)) # label(non_clause). [assumption]. 3.018/3.018 16 (all M all N red(plus(N,s(M)),U11(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 17 (all N red(x(N,0),0)) # label(non_clause). [assumption]. 3.018/3.018 18 (all M all N red(x(N,s(M)),U21(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all M all y exists z (red(M,y) -> reds(plus(c_N,s(y)),z) & reds(U11(tt,M,c_N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 3.018/3.018 ============================== end of process non-clausal formulas === 3.018/3.018 3.018/3.018 ============================== PROCESS INITIAL CLAUSES =============== 3.018/3.018 3.018/3.018 % Clauses before input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). [assumption]. 3.018/3.018 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 red(x(x,0),0). [clausify(17)]. 3.018/3.018 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 red(c1,c2). [deny(19)]. 3.018/3.018 -reds(plus(c_N,s(c2)),x) | -reds(U11(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== PREDICATE ELIMINATION ================= 3.018/3.018 3.018/3.018 ============================== end predicate elimination ============= 3.018/3.018 3.018/3.018 Auto_denials: (no changes). 3.018/3.018 3.018/3.018 Term ordering decisions: 3.018/3.018 3.018/3.018 kept: 20 reds(x,x). [assumption]. 3.018/3.018 kept: 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 kept: 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 kept: 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 kept: 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 kept: 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 kept: 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 kept: 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 kept: 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 kept: 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 kept: 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 kept: 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 kept: 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 kept: 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 kept: 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 kept: 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 kept: 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 kept: 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 kept: 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 kept: 39 red(c1,c2). [deny(19)]. 3.018/3.018 kept: 40 -reds(plus(c_N,s(c2)),x) | -reds(U11(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 3.018/3.018 ============================== end of process initial clauses ======== 3.018/3.018 3.018/3.018 ============================== CLAUSES FOR SEARCH ==================== 3.018/3.018 3.018/3.018 % Clauses after input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(plus(c_N,s(c2)),x) | -reds(U11(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== end of clauses for search ============= 3.018/3.018 3.018/3.018 ============================== SEARCH ================================ 3.018/3.018 3.018/3.018 % Starting search at 0.00 seconds. 3.018/3.018 3.018/3.018 given #1 (I,wt=3): 20 reds(x,x). [assumption]. 3.018/3.018 3.018/3.018 given #2 (I,wt=9): 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 3.018/3.018 given #3 (I,wt=12): 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 3.018/3.018 given #4 (I,wt=12): 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 3.018/3.018 given #5 (I,wt=12): 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 3.018/3.018 given #6 (I,wt=12): 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 3.018/3.018 given #7 (I,wt=10): 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 3.018/3.018 given #8 (I,wt=10): 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 3.018/3.018 given #9 (I,wt=10): 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 3.018/3.018 given #10 (I,wt=10): 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 3.018/3.018 given #11 (I,wt=8): 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 3.018/3.018 given #12 (I,wt=9): 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 3.018/3.018 given #13 (I,wt=9): 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 3.018/3.018 given #14 (I,wt=9): 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 3.018/3.018 given #15 (I,wt=10): 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 3.018/3.018 given #16 (I,wt=5): 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 3.018/3.018 given #17 (I,wt=9): 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 3.018/3.018 given #18 (I,wt=5): 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 3.018/3.018 given #19 (I,wt=9): 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 3.018/3.018 given #20 (I,wt=3): 39 red(c1,c2). [deny(19)]. 3.018/3.018 3.018/3.018 given #21 (I,wt=12): 40 -reds(plus(c_N,s(c2)),x) | -reds(U11(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 3.018/3.018 given #22 (A,wt=11): 41 red(s(U11(tt,x,y)),s(U12(tt,x,y))). [ur(30,a,31,a)]. 3.018/3.018 3.018/3.018 given #23 (F,wt=9): 132 -reds(U11(tt,c1,c_N),plus(c_N,s(c2))). [resolve(40,a,20,a)]. 3.018/3.018 3.018/3.018 given #24 (F,wt=9): 134 -reds(plus(c_N,s(c2)),U11(tt,c1,c_N)). [resolve(40,b,20,a)]. 3.018/3.018 3.018/3.018 given #25 (F,wt=9): 146 -red(U11(tt,c1,c_N),plus(c_N,s(c2))). [ur(21,b,20,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #26 (F,wt=9): 147 -reds(U12(tt,c1,c_N),plus(c_N,s(c2))). [ur(21,a,31,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #27 (T,wt=3): 130 reds(c1,c2). [ur(21,a,39,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #28 (T,wt=5): 90 reds(plus(x,0),x). [ur(21,a,35,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #29 (T,wt=5): 110 reds(x(x,0),0). [ur(21,a,37,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #30 (T,wt=5): 121 red(s(c1),s(c2)). [ur(30,a,39,a)]. 3.018/3.018 3.018/3.018 given #31 (A,wt=13): 42 red(x(x,U11(tt,y,z)),x(x,U12(tt,y,z))). [ur(29,a,31,a)]. 3.018/3.018 3.018/3.018 given #32 (F,wt=9): 149 -red(plus(c_N,s(c2)),U11(tt,c1,c_N)). [ur(21,b,20,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #33 (F,wt=9): 150 -reds(U11(tt,c2,c_N),U11(tt,c1,c_N)). [ur(21,a,36,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #34 (F,wt=9): 152 -red(U12(tt,c1,c_N),plus(c_N,s(c2))). [ur(21,b,20,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #35 (F,wt=9): 153 -reds(s(plus(c_N,c1)),plus(c_N,s(c2))). [ur(21,a,32,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #36 (T,wt=5): 154 reds(plus(c1,0),c2). [ur(21,a,35,a,b,130,a)]. 3.018/3.018 3.018/3.018 given #37 (T,wt=5): 170 reds(s(c1),s(c2)). [ur(21,a,121,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #38 (T,wt=7): 81 red(s(plus(x,0)),s(x)). [ur(30,a,35,a)]. 3.018/3.018 3.018/3.018 given #39 (T,wt=7): 101 red(s(x(x,0)),s(0)). [ur(30,a,37,a)]. 3.018/3.018 3.018/3.018 given #40 (A,wt=13): 43 red(x(U11(tt,x,y),z),x(U12(tt,x,y),z)). [ur(28,a,31,a)]. 3.018/3.018 3.018/3.018 given #41 (F,wt=9): 183 -red(U11(tt,c2,c_N),U11(tt,c1,c_N)). [ur(21,b,20,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #42 (F,wt=9): 184 -reds(U12(tt,c2,c_N),U11(tt,c1,c_N)). [ur(21,a,31,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #43 (F,wt=9): 187 -red(s(plus(c_N,c1)),plus(c_N,s(c2))). [ur(21,b,20,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #44 (F,wt=9): 223 -red(U12(tt,c2,c_N),U11(tt,c1,c_N)). [ur(21,b,20,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #45 (T,wt=7): 122 red(x(x,c1),x(x,c2)). [ur(29,a,39,a)]. 3.018/3.018 3.018/3.018 given #46 (T,wt=7): 123 red(x(c1,x),x(c2,x)). [ur(28,a,39,a)]. 3.018/3.018 3.018/3.018 given #47 (T,wt=7): 124 red(plus(x,c1),plus(x,c2)). [ur(27,a,39,a)]. 3.018/3.018 3.018/3.018 given #48 (T,wt=7): 125 red(plus(c1,x),plus(c2,x)). [ur(26,a,39,a)]. 3.018/3.018 3.018/3.018 given #49 (A,wt=13): 44 red(plus(x,U11(tt,y,z)),plus(x,U12(tt,y,z))). [ur(27,a,31,a)]. 3.018/3.018 3.018/3.018 given #50 (F,wt=9): 224 -reds(s(plus(c_N,c2)),U11(tt,c1,c_N)). [ur(21,a,32,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #51 (F,wt=9): 277 -red(s(plus(c_N,c2)),U11(tt,c1,c_N)). [ur(21,b,20,a,c,224,a)]. 3.018/3.018 3.018/3.018 given #52 (F,wt=11): 157 -red(U12(tt,c1,c_N),plus(plus(c_N,s(c2)),0)). [ur(21,b,90,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #53 (F,wt=11): 158 -red(plus(c_N,s(c2)),plus(U11(tt,c1,c_N),0)). [ur(21,b,90,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #54 (T,wt=7): 155 reds(plus(plus(x,0),0),x). [ur(21,a,35,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #55 (T,wt=7): 160 reds(plus(x(x,0),0),0). [ur(21,a,35,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #56 (T,wt=6): 287 reds(U22(tt,0,0),0). [ur(21,a,34,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #57 (T,wt=6): 289 reds(U21(tt,0,0),0). [ur(21,a,33,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #58 (A,wt=13): 45 red(plus(U11(tt,x,y),z),plus(U12(tt,x,y),z)). [ur(26,a,31,a)]. 3.018/3.018 3.018/3.018 given #59 (F,wt=11): 159 -red(U11(tt,c1,c_N),plus(plus(c_N,s(c2)),0)). [ur(21,b,90,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #60 (F,wt=11): 182 -red(U11(tt,c2,c_N),plus(U11(tt,c1,c_N),0)). [ur(21,b,90,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #61 (F,wt=11): 186 -red(s(plus(c_N,c1)),plus(plus(c_N,s(c2)),0)). [ur(21,b,90,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #62 (F,wt=11): 222 -red(U12(tt,c2,c_N),plus(U11(tt,c1,c_N),0)). [ur(21,b,90,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #63 (T,wt=6): 290 reds(x(0,s(0)),0). [ur(21,a,38,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #64 (T,wt=7): 161 red(s(s(c1)),s(s(c2))). [ur(30,a,121,a)]. 3.018/3.018 3.018/3.018 given #65 (T,wt=7): 188 reds(plus(plus(c1,0),0),c2). [ur(21,a,35,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #66 (T,wt=7): 189 reds(plus(s(c1),0),s(c2)). [ur(21,a,35,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #67 (A,wt=15): 46 red(U22(U11(tt,x,y),z,u),U22(U12(tt,x,y),z,u)). [ur(25,a,31,a)]. 3.018/3.018 3.018/3.018 given #68 (F,wt=11): 276 -red(s(plus(c_N,c2)),plus(U11(tt,c1,c_N),0)). [ur(21,b,90,a,c,224,a)]. 3.018/3.018 3.018/3.018 given #69 (F,wt=12): 145 -red(U11(tt,c1,c_N),x) | -reds(x,plus(c_N,s(c2))). [resolve(132,a,21,c)]. 3.018/3.018 3.018/3.018 given #70 (F,wt=12): 148 -red(plus(c_N,s(c2)),x) | -reds(x,U11(tt,c1,c_N)). [resolve(134,a,21,c)]. 3.018/3.018 3.018/3.018 given #71 (F,wt=12): 151 -red(U12(tt,c1,c_N),x) | -reds(x,plus(c_N,s(c2))). [resolve(147,a,21,c)]. 3.018/3.018 3.018/3.018 given #72 (T,wt=7): 199 reds(s(plus(c1,0)),s(c2)). [ur(21,a,81,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #73 (T,wt=7): 200 reds(s(plus(x,0)),s(x)). [ur(21,a,81,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #74 (T,wt=7): 210 reds(s(x(x,0)),s(0)). [ur(21,a,101,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #75 (T,wt=7): 234 reds(x(x,c1),x(x,c2)). [ur(21,a,122,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #76 (A,wt=15): 47 red(U21(U11(tt,x,y),z,u),U21(U12(tt,x,y),z,u)). [ur(24,a,31,a)]. 3.018/3.018 3.018/3.018 given #77 (F,wt=12): 181 -red(U11(tt,c2,c_N),x) | -reds(x,U11(tt,c1,c_N)). [resolve(150,a,21,c)]. 3.018/3.018 3.018/3.018 given #78 (F,wt=12): 185 -red(s(plus(c_N,c1)),x) | -reds(x,plus(c_N,s(c2))). [resolve(153,a,21,c)]. 3.018/3.018 3.018/3.018 given #79 (F,wt=12): 221 -red(U12(tt,c2,c_N),x) | -reds(x,U11(tt,c1,c_N)). [resolve(184,a,21,c)]. 3.018/3.018 3.018/3.018 given #80 (F,wt=12): 275 -red(s(plus(c_N,c2)),x) | -reds(x,U11(tt,c1,c_N)). [resolve(224,a,21,c)]. 3.018/3.018 3.018/3.018 given #81 (T,wt=7): 244 reds(x(c1,x),x(c2,x)). [ur(21,a,123,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #82 (T,wt=7): 254 reds(plus(x,c1),plus(x,c2)). [ur(21,a,124,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #83 (T,wt=7): 264 reds(plus(c1,x),plus(c2,x)). [ur(21,a,125,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #84 (T,wt=7): 313 reds(s(s(c1)),s(s(c2))). [ur(21,a,161,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #85 (A,wt=15): 48 red(U12(U11(tt,x,y),z,u),U12(U12(tt,x,y),z,u)). [ur(23,a,31,a)]. 3.018/3.018 3.018/3.018 given #86 (F,wt=12): 326 -reds(U11(x,c1,c_N),plus(c_N,s(c2))) | -red(tt,x). [resolve(145,a,22,b)]. 3.018/3.018 3.018/3.018 given #87 (F,wt=12): 328 -reds(plus(c_N,x),U11(tt,c1,c_N)) | -red(s(c2),x). [resolve(148,a,27,b)]. 3.018/3.018 3.018/3.018 given #88 (F,wt=12): 329 -reds(plus(x,s(c2)),U11(tt,c1,c_N)) | -red(c_N,x). [resolve(148,a,26,b)]. 3.018/3.018 3.018/3.018 given #89 (F,wt=12): 331 -reds(U12(x,c1,c_N),plus(c_N,s(c2))) | -red(tt,x). [resolve(151,a,23,b)]. 3.018/3.018 3.018/3.018 given #90 (T,wt=7): 335 reds(U12(tt,0,c1),s(c2)). [ur(21,a,32,a,b,199,a)]. 3.018/3.018 3.018/3.018 given #91 (T,wt=7): 338 reds(U12(tt,0,x),s(x)). [ur(21,a,32,a,b,200,a)]. 3.018/3.018 3.018/3.018 given #92 (T,wt=7): 341 reds(x(c1,c1),x(c2,c2)). [ur(21,a,123,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #93 (T,wt=7): 364 reds(plus(c1,c1),plus(c2,c2)). [ur(21,a,125,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #94 (A,wt=15): 49 red(U11(U11(tt,x,y),z,u),U11(U12(tt,x,y),z,u)). [ur(22,a,31,a)]. 3.018/3.018 3.018/3.018 given #95 (F,wt=12): 354 -reds(U11(x,c2,c_N),U11(tt,c1,c_N)) | -red(tt,x). [resolve(181,a,22,b)]. 3.018/3.018 3.018/3.018 given #96 (F,wt=12): 356 -reds(s(x),plus(c_N,s(c2))) | -red(plus(c_N,c1),x). [resolve(185,a,30,b)]. 3.018/3.018 3.018/3.018 given #97 (F,wt=9): 405 -reds(s(plus(c_N,c2)),plus(c_N,s(c2))). [resolve(356,b,124,a)]. 3.018/3.018 3.018/3.018 given #98 (F,wt=9): 411 -red(s(plus(c_N,c2)),plus(c_N,s(c2))). [ur(21,b,20,a,c,405,a)]. 3.018/3.018 3.018/3.018 given #99 (T,wt=7): 388 reds(U11(tt,0,c1),s(c2)). [ur(21,a,31,a,b,335,a)]. 3.018/3.018 3.018/3.018 given #100 (T,wt=7): 390 reds(U11(tt,0,x),s(x)). [ur(21,a,31,a,b,338,a)]. 3.018/3.018 3.018/3.018 given #101 (T,wt=7): 412 reds(plus(c1,s(0)),s(c2)). [ur(21,a,36,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #102 (T,wt=7): 414 reds(plus(x,s(0)),s(x)). [ur(21,a,36,a,b,390,a)]. 3.018/3.018 3.018/3.018 given #103 (A,wt=9): 50 reds(U11(tt,x,y),U12(tt,x,y)). [ur(21,a,31,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #104 (F,wt=9): 420 -reds(plus(c_N,s(c2)),U12(tt,c1,c_N)). [resolve(50,a,40,b)]. 3.018/3.018 3.018/3.018 given #105 (F,wt=9): 425 -red(plus(c_N,s(c2)),U12(tt,c1,c_N)). [ur(21,b,20,a,c,420,a)]. 3.018/3.018 3.018/3.018 given #106 (F,wt=9): 426 -reds(U11(tt,c2,c_N),U12(tt,c1,c_N)). [ur(21,a,36,a,c,420,a)]. 3.018/3.018 3.018/3.018 given #107 (F,wt=9): 430 -red(U11(tt,c2,c_N),U12(tt,c1,c_N)). [ur(21,b,20,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #108 (T,wt=8): 156 reds(U22(tt,x,0),x(0,x)). [ur(21,a,34,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #109 (T,wt=8): 288 reds(plus(U22(tt,0,0),0),0). [ur(21,a,35,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #110 (T,wt=8): 291 reds(plus(U21(tt,0,0),0),0). [ur(21,a,35,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #111 (T,wt=8): 303 reds(plus(x(0,s(0)),0),0). [ur(21,a,35,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #112 (A,wt=11): 51 red(s(U12(tt,x,y)),s(s(plus(y,x)))). [ur(30,a,32,a)]. 3.018/3.018 3.018/3.018 given #113 (F,wt=9): 431 -reds(U12(tt,c2,c_N),U12(tt,c1,c_N)). [ur(21,a,31,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #114 (F,wt=9): 451 -red(U12(tt,c2,c_N),U12(tt,c1,c_N)). [ur(21,b,20,a,c,431,a)]. 3.018/3.018 3.018/3.018 given #115 (F,wt=9): 452 -reds(s(plus(c_N,c2)),U12(tt,c1,c_N)). [ur(21,a,32,a,c,431,a)]. 3.018/3.018 3.018/3.018 given #116 (F,wt=9): 456 -red(s(plus(c_N,c2)),U12(tt,c1,c_N)). [ur(21,b,20,a,c,452,a)]. 3.018/3.018 3.018/3.018 given #117 (T,wt=7): 437 reds(U22(tt,s(0),0),0). [ur(21,a,34,a,b,303,a)]. 3.018/3.018 3.018/3.018 given #118 (T,wt=7): 458 reds(U21(tt,s(0),0),0). [ur(21,a,33,a,b,437,a)]. 3.018/3.018 3.018/3.018 given #119 (T,wt=7): 459 reds(x(0,s(s(0))),0). [ur(21,a,38,a,b,458,a)]. 3.018/3.018 3.018/3.018 given #120 (T,wt=8): 433 reds(U21(tt,x,0),x(0,x)). [ur(21,a,33,a,b,156,a)]. 3.018/3.018 3.018/3.018 given #121 (A,wt=13): 52 red(x(x,U12(tt,y,z)),x(x,s(plus(z,y)))). [ur(29,a,32,a)]. 3.018/3.018 3.018/3.018 given #122 (F,wt=11): 410 -red(s(plus(c_N,c2)),plus(plus(c_N,s(c2)),0)). [ur(21,b,90,a,c,405,a)]. 3.018/3.018 3.018/3.018 given #123 (F,wt=11): 424 -red(plus(c_N,s(c2)),plus(U12(tt,c1,c_N),0)). [ur(21,b,90,a,c,420,a)]. 3.018/3.018 3.018/3.018 given #124 (F,wt=11): 429 -red(U11(tt,c2,c_N),plus(U12(tt,c1,c_N),0)). [ur(21,b,90,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #125 (F,wt=11): 450 -red(U12(tt,c2,c_N),plus(U12(tt,c1,c_N),0)). [ur(21,b,90,a,c,431,a)]. 3.018/3.018 3.018/3.018 given #126 (T,wt=8): 462 reds(x(0,s(x)),x(0,x)). [ur(21,a,38,a,b,433,a)]. 3.018/3.018 3.018/3.018 given #127 (T,wt=9): 60 reds(U12(tt,x,y),s(plus(y,x))). [ur(21,a,32,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #128 (T,wt=9): 70 reds(U21(tt,x,y),U22(tt,x,y)). [ur(21,a,33,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #129 (T,wt=9): 82 red(x(x,plus(y,0)),x(x,y)). [ur(29,a,35,a)]. 3.018/3.018 3.018/3.018 given #130 (A,wt=13): 53 red(x(U12(tt,x,y),z),x(s(plus(y,x)),z)). [ur(28,a,32,a)]. 3.018/3.018 3.018/3.018 given #131 (F,wt=11): 455 -red(s(plus(c_N,c2)),plus(U12(tt,c1,c_N),0)). [ur(21,b,90,a,c,452,a)]. 3.018/3.018 3.018/3.018 given #132 (F,wt=12): 358 -reds(U12(x,c2,c_N),U11(tt,c1,c_N)) | -red(tt,x). [resolve(221,a,23,b)]. 3.018/3.018 3.018/3.018 given #133 (F,wt=12): 360 -reds(s(x),U11(tt,c1,c_N)) | -red(plus(c_N,c2),x). [resolve(275,a,30,b)]. 3.018/3.018 3.018/3.018 given #134 (F,wt=12): 384 -reds(plus(c_N,s(x)),U11(tt,c1,c_N)) | -red(c2,x). [resolve(328,b,30,b)]. 3.018/3.018 3.018/3.018 given #135 (T,wt=7): 496 reds(x(x,plus(0,0)),0). [ur(21,a,82,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #136 (T,wt=8): 493 reds(x(0,plus(s(0),0)),0). [ur(21,a,82,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #137 (T,wt=9): 83 red(x(plus(x,0),y),x(x,y)). [ur(28,a,35,a)]. 3.018/3.018 3.018/3.018 given #138 (T,wt=8): 531 reds(x(plus(0,0),s(0)),0). [ur(21,a,83,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #139 (A,wt=13): 54 red(plus(x,U12(tt,y,z)),plus(x,s(plus(z,y)))). [ur(27,a,32,a)]. 3.018/3.018 3.018/3.018 given #140 (F,wt=12): 406 -reds(s(plus(c_N,x)),plus(c_N,s(c2))) | -red(c1,x). [resolve(356,b,27,b)]. 3.018/3.018 3.018/3.018 given #141 (F,wt=12): 407 -reds(s(plus(x,c1)),plus(c_N,s(c2))) | -red(c_N,x). [resolve(356,b,26,b)]. 3.018/3.018 3.018/3.018 given #142 (F,wt=12): 408 -red(s(plus(c_N,c2)),x) | -reds(x,plus(c_N,s(c2))). [resolve(405,a,21,c)]. 3.018/3.018 3.018/3.018 given #143 (F,wt=12): 422 -red(plus(c_N,s(c2)),x) | -reds(x,U12(tt,c1,c_N)). [resolve(420,a,21,c)]. 3.018/3.018 3.018/3.018 given #144 (T,wt=9): 84 red(plus(x,plus(y,0)),plus(x,y)). [ur(27,a,35,a)]. 3.018/3.018 3.018/3.018 given #145 (T,wt=7): 576 reds(plus(c1,plus(0,0)),c2). [ur(21,a,84,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #146 (T,wt=7): 577 reds(plus(x,plus(0,0)),x). [ur(21,a,84,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #147 (T,wt=9): 85 red(plus(plus(x,0),y),plus(x,y)). [ur(26,a,35,a)]. 3.018/3.018 3.018/3.018 given #148 (A,wt=13): 55 red(plus(U12(tt,x,y),z),plus(s(plus(y,x)),z)). [ur(26,a,32,a)]. 3.018/3.018 3.018/3.018 given #149 (F,wt=12): 427 -red(U11(tt,c2,c_N),x) | -reds(x,U12(tt,c1,c_N)). [resolve(426,a,21,c)]. 3.018/3.018 3.018/3.018 given #150 (F,wt=12): 448 -red(U12(tt,c2,c_N),x) | -reds(x,U12(tt,c1,c_N)). [resolve(431,a,21,c)]. 3.018/3.018 3.018/3.018 given #151 (F,wt=12): 453 -red(s(plus(c_N,c2)),x) | -reds(x,U12(tt,c1,c_N)). [resolve(452,a,21,c)]. 3.018/3.018 3.018/3.018 given #152 (F,wt=12): 511 -reds(s(plus(c_N,x)),U11(tt,c1,c_N)) | -red(c2,x). [resolve(360,b,27,b)]. 3.018/3.018 3.018/3.018 given #153 (T,wt=9): 100 reds(plus(x,s(y)),U11(tt,y,x)). [ur(21,a,36,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #154 (T,wt=9): 102 red(x(x,x(y,0)),x(x,0)). [ur(29,a,37,a)]. 3.018/3.018 3.018/3.018 given #155 (T,wt=7): 657 reds(x(x,x(y,0)),0). [ur(21,a,102,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #156 (T,wt=9): 103 red(x(x(x,0),y),x(0,y)). [ur(28,a,37,a)]. 3.018/3.018 3.018/3.018 given #157 (A,wt=15): 56 red(U22(U12(tt,x,y),z,u),U22(s(plus(y,x)),z,u)). [ur(25,a,32,a)]. 3.018/3.018 3.018/3.018 given #158 (F,wt=3): 632 -red(c2,c1). [resolve(100,a,384,a)]. 3.018/3.018 3.018/3.018 given #159 (F,wt=5): 633 -red(s(c2),s(c1)). [resolve(100,a,328,a)]. 3.018/3.018 3.018/3.018 given #160 (F,wt=9): 634 -red(s(plus(c_N,c2)),plus(c_N,s(c1))). [resolve(100,a,275,b)]. 3.018/3.018 3.018/3.018 given #161 (F,wt=9): 635 -red(U12(tt,c2,c_N),plus(c_N,s(c1))). [resolve(100,a,221,b)]. 3.018/3.018 3.018/3.018 given #162 (T,wt=8): 673 reds(x(x(x,0),s(0)),0). [ur(21,a,103,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #163 (T,wt=9): 104 red(plus(x,x(y,0)),plus(x,0)). [ur(27,a,37,a)]. 3.018/3.018 3.018/3.018 given #164 (T,wt=7): 705 reds(plus(c1,x(x,0)),c2). [ur(21,a,104,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #165 (T,wt=7): 706 reds(plus(x,x(y,0)),x). [ur(21,a,104,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #166 (A,wt=15): 57 red(U21(U12(tt,x,y),z,u),U21(s(plus(y,x)),z,u)). [ur(24,a,32,a)]. 3.018/3.018 3.018/3.018 given #167 (F,wt=9): 636 -red(U11(tt,c2,c_N),plus(c_N,s(c1))). [resolve(100,a,181,b)]. 3.018/3.018 3.018/3.018 given #168 (F,wt=9): 637 -red(plus(c_N,s(c2)),plus(c_N,s(c1))). [resolve(100,a,148,b)]. 3.018/3.018 3.018/3.018 given #169 (F,wt=9): 638 -reds(U11(tt,c1,c_N),U11(tt,c2,c_N)). [resolve(100,a,40,a)]. 3.018/3.018 3.018/3.018 given #170 (F,wt=9): 742 -red(U11(tt,c1,c_N),U11(tt,c2,c_N)). [ur(21,b,20,a,c,638,a)]. 3.018/3.018 3.018/3.018 given #171 (T,wt=9): 105 red(plus(x(x,0),y),plus(0,y)). [ur(26,a,37,a)]. 3.018/3.018 3.018/3.018 given #172 (T,wt=9): 120 reds(x(x,s(y)),U21(tt,y,x)). [ur(21,a,38,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #173 (T,wt=9): 126 red(U22(c1,x,y),U22(c2,x,y)). [ur(25,a,39,a)]. 3.018/3.018 3.018/3.018 given #174 (T,wt=9): 127 red(U21(c1,x,y),U21(c2,x,y)). [ur(24,a,39,a)]. 3.018/3.018 3.018/3.018 given #175 (A,wt=15): 58 red(U12(U12(tt,x,y),z,u),U12(s(plus(y,x)),z,u)). [ur(23,a,32,a)]. 3.018/3.018 3.018/3.018 given #176 (F,wt=9): 743 -reds(U12(tt,c1,c_N),U11(tt,c2,c_N)). [ur(21,a,31,a,c,638,a)]. 3.018/3.018 3.018/3.018 given #177 (F,wt=9): 800 -red(U12(tt,c1,c_N),U11(tt,c2,c_N)). [ur(21,b,20,a,c,743,a)]. 3.018/3.018 3.018/3.018 given #178 (F,wt=9): 801 -reds(s(plus(c_N,c1)),U11(tt,c2,c_N)). [ur(21,a,32,a,c,743,a)]. 3.018/3.018 3.018/3.018 given #179 (F,wt=9): 807 -red(s(plus(c_N,c1)),U11(tt,c2,c_N)). [ur(21,b,20,a,c,801,a)]. 3.018/3.018 3.018/3.018 given #180 (T,wt=9): 128 red(U12(c1,x,y),U12(c2,x,y)). [ur(23,a,39,a)]. 3.018/3.018 3.018/3.018 given #181 (T,wt=9): 129 red(U11(c1,x,y),U11(c2,x,y)). [ur(22,a,39,a)]. 3.018/3.018 3.018/3.018 given #182 (T,wt=9): 162 red(x(x,s(c1)),x(x,s(c2))). [ur(29,a,121,a)]. 3.018/3.018 3.018/3.018 given #183 (T,wt=8): 837 reds(x(0,s(c1)),x(0,c2)). [ur(21,a,162,a,b,462,a)]. 3.018/3.018 3.018/3.018 given #184 (A,wt=15): 59 red(U11(U12(tt,x,y),z,u),U11(s(plus(y,x)),z,u)). [ur(22,a,32,a)]. 3.018/3.018 3.018/3.018 given #185 (F,wt=11): 741 -red(U11(tt,c1,c_N),plus(U11(tt,c2,c_N),0)). [ur(21,b,90,a,c,638,a)]. 3.018/3.018 3.018/3.018 given #186 (F,wt=11): 799 -red(U12(tt,c1,c_N),plus(U11(tt,c2,c_N),0)). [ur(21,b,90,a,c,743,a)]. 3.018/3.018 3.018/3.018 given #187 (F,wt=11): 806 -red(s(plus(c_N,c1)),plus(U11(tt,c2,c_N),0)). [ur(21,b,90,a,c,801,a)]. 3.018/3.018 3.018/3.018 given #188 (F,wt=12): 512 -reds(s(plus(x,c2)),U11(tt,c1,c_N)) | -red(c_N,x). [resolve(360,b,26,b)]. 3.018/3.018 3.018/3.018 given #189 (T,wt=9): 163 red(x(s(c1),x),x(s(c2),x)). [ur(28,a,121,a)]. 3.018/3.018 3.018/3.018 given #190 (T,wt=9): 164 red(plus(x,s(c1)),plus(x,s(c2))). [ur(27,a,121,a)]. 3.018/3.018 3.018/3.018 given #191 (T,wt=9): 165 red(plus(s(c1),x),plus(s(c2),x)). [ur(26,a,121,a)]. 3.018/3.018 3.018/3.018 given #192 (T,wt=9): 190 red(s(s(plus(x,0))),s(s(x))). [ur(30,a,81,a)]. 3.018/3.018 3.018/3.018 given #193 (A,wt=11): 61 red(s(U21(tt,x,y)),s(U22(tt,x,y))). [ur(30,a,33,a)]. 3.018/3.018 3.018/3.018 given #194 (F,wt=12): 550 -reds(s(x),plus(c_N,s(c2))) | -red(plus(c_N,c2),x). [resolve(408,a,30,b)]. 3.018/3.018 3.018/3.018 given #195 (F,wt=12): 552 -reds(plus(c_N,x),U12(tt,c1,c_N)) | -red(s(c2),x). [resolve(422,a,27,b)]. 3.018/3.018 3.018/3.018 given #196 (F,wt=12): 553 -reds(plus(x,s(c2)),U12(tt,c1,c_N)) | -red(c_N,x). [resolve(422,a,26,b)]. 3.018/3.018 3.018/3.018 given #197 (F,wt=12): 625 -reds(U11(x,c2,c_N),U12(tt,c1,c_N)) | -red(tt,x). [resolve(427,a,22,b)]. 3.018/3.018 3.018/3.018 given #198 (T,wt=9): 201 red(s(s(x(x,0))),s(s(0))). [ur(30,a,101,a)]. 3.018/3.018 3.018/3.018 given #199 (T,wt=9): 225 red(s(x(x,c1)),s(x(x,c2))). [ur(30,a,122,a)]. 3.018/3.018 3.018/3.018 given #200 (T,wt=9): 235 red(s(x(c1,x)),s(x(c2,x))). [ur(30,a,123,a)]. 3.018/3.018 3.018/3.018 given #201 (T,wt=9): 245 red(s(plus(x,c1)),s(plus(x,c2))). [ur(30,a,124,a)]. 3.018/3.018 3.018/3.018 given #202 (A,wt=13): 62 red(x(x,U21(tt,y,z)),x(x,U22(tt,y,z))). [ur(29,a,33,a)]. 3.018/3.018 3.018/3.018 given #203 (F,wt=9): 961 -reds(s(plus(c_N,c2)),U11(tt,c2,c_N)). [ur(21,a,245,a,c,801,a)]. 3.018/3.018 3.018/3.018 given #204 (F,wt=9): 978 -red(s(plus(c_N,c2)),U11(tt,c2,c_N)). [ur(21,b,20,a,c,961,a)]. 3.018/3.018 3.018/3.018 given #205 (F,wt=11): 977 -red(s(plus(c_N,c2)),plus(U11(tt,c2,c_N),0)). [ur(21,b,90,a,c,961,a)]. 3.018/3.018 3.018/3.018 given #206 (F,wt=12): 627 -reds(U12(x,c2,c_N),U12(tt,c1,c_N)) | -red(tt,x). [resolve(448,a,23,b)]. 3.018/3.018 3.018/3.018 given #207 (T,wt=9): 255 red(s(plus(c1,x)),s(plus(c2,x))). [ur(30,a,125,a)]. 3.018/3.018 3.018/3.018 given #208 (T,wt=9): 278 reds(plus(plus(plus(x,0),0),0),x). [ur(21,a,35,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #209 (T,wt=9): 286 reds(plus(plus(x(x,0),0),0),0). [ur(21,a,35,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #210 (T,wt=9): 304 red(s(s(s(c1))),s(s(s(c2)))). [ur(30,a,161,a)]. 3.018/3.018 3.018/3.018 given #211 (A,wt=13): 63 red(x(U21(tt,x,y),z),x(U22(tt,x,y),z)). [ur(28,a,33,a)]. 3.018/3.018 3.018/3.018 given #212 (F,wt=12): 629 -reds(s(x),U12(tt,c1,c_N)) | -red(plus(c_N,c2),x). [resolve(453,a,30,b)]. 3.018/3.018 3.018/3.018 given #213 (F,wt=12): 737 -red(U11(tt,c1,c_N),x) | -reds(x,U11(tt,c2,c_N)). [resolve(638,a,21,c)]. 3.018/3.018 3.018/3.018 given #214 (F,wt=12): 795 -red(U12(tt,c1,c_N),x) | -reds(x,U11(tt,c2,c_N)). [resolve(743,a,21,c)]. 3.018/3.018 3.018/3.018 given #215 (F,wt=12): 802 -red(s(plus(c_N,c1)),x) | -reds(x,U11(tt,c2,c_N)). [resolve(801,a,21,c)]. 3.018/3.018 3.018/3.018 given #216 (T,wt=9): 314 reds(plus(plus(plus(c1,0),0),0),c2). [ur(21,a,35,a,b,188,a)]. 3.018/3.018 3.018/3.018 given #217 (T,wt=9): 315 reds(plus(plus(s(c1),0),0),s(c2)). [ur(21,a,35,a,b,189,a)]. 3.018/3.018 3.018/3.018 given #218 (T,wt=9): 333 reds(s(plus(plus(c1,0),0)),s(c2)). [ur(21,a,81,a,b,199,a)]. 3.018/3.018 3.018/3.018 given #219 (T,wt=9): 334 reds(plus(s(plus(c1,0)),0),s(c2)). [ur(21,a,35,a,b,199,a)]. 3.018/3.018 3.018/3.018 given #220 (A,wt=13): 64 red(plus(x,U21(tt,y,z)),plus(x,U22(tt,y,z))). [ur(27,a,33,a)]. 3.018/3.018 3.018/3.018 given #221 (F,wt=12): 915 -reds(s(plus(c_N,x)),plus(c_N,s(c2))) | -red(c2,x). [resolve(550,b,27,b)]. 3.018/3.018 3.018/3.018 given #222 (F,wt=12): 916 -reds(s(plus(x,c2)),plus(c_N,s(c2))) | -red(c_N,x). [resolve(550,b,26,b)]. 3.018/3.018 3.018/3.018 given #223 (F,wt=12): 918 -reds(plus(c_N,s(x)),U12(tt,c1,c_N)) | -red(c2,x). [resolve(552,b,30,b)]. 3.018/3.018 3.018/3.018 given #224 (F,wt=12): 973 -red(s(plus(c_N,c2)),x) | -reds(x,U11(tt,c2,c_N)). [resolve(961,a,21,c)]. 3.018/3.018 3.018/3.018 given #225 (T,wt=9): 336 reds(s(plus(plus(x,0),0)),s(x)). [ur(21,a,81,a,b,200,a)]. 3.018/3.018 3.018/3.018 given #226 (T,wt=9): 337 reds(plus(s(plus(x,0)),0),s(x)). [ur(21,a,35,a,b,200,a)]. 3.018/3.018 3.018/3.018 given #227 (T,wt=9): 339 reds(s(plus(x(x,0),0)),s(0)). [ur(21,a,81,a,b,210,a)]. 3.018/3.018 3.018/3.018 given #228 (T,wt=9): 340 reds(plus(s(x(x,0)),0),s(0)). [ur(21,a,35,a,b,210,a)]. 3.018/3.018 3.018/3.018 given #229 (A,wt=13): 65 red(plus(U21(tt,x,y),z),plus(U22(tt,x,y),z)). [ur(26,a,33,a)]. 3.018/3.018 3.018/3.018 given #230 (F,wt=12): 1035 -reds(s(plus(c_N,x)),U12(tt,c1,c_N)) | -red(c2,x). [resolve(629,b,27,b)]. 3.018/3.018 3.018/3.018 given #231 (F,wt=12): 1036 -reds(s(plus(x,c2)),U12(tt,c1,c_N)) | -red(c_N,x). [resolve(629,b,26,b)]. 3.018/3.018 3.018/3.018 given #232 (F,wt=12): 1037 -reds(U11(x,c1,c_N),U11(tt,c2,c_N)) | -red(tt,x). [resolve(737,a,22,b)]. 3.018/3.018 3.018/3.018 given #233 (F,wt=12): 1039 -reds(U12(x,c1,c_N),U11(tt,c2,c_N)) | -red(tt,x). [resolve(795,a,23,b)]. 3.018/3.018 3.018/3.018 given #234 (T,wt=9): 343 reds(plus(x(x,c1),0),x(x,c2)). [ur(21,a,35,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #235 (T,wt=8): 1105 reds(U22(tt,c1,0),x(0,c2)). [ur(21,a,34,a,b,343,a)]. 3.018/3.018 3.018/3.018 given #236 (T,wt=8): 1107 reds(U21(tt,c1,0),x(0,c2)). [ur(21,a,33,a,b,1105,a)]. 3.018/3.018 3.018/3.018 given #237 (T,wt=9): 363 reds(plus(x(c1,x),0),x(c2,x)). [ur(21,a,35,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #238 (A,wt=15): 66 red(U22(U21(tt,x,y),z,u),U22(U22(tt,x,y),z,u)). [ur(25,a,33,a)]. 3.018/3.018 3.018/3.018 given #239 (F,wt=12): 1041 -reds(s(x),U11(tt,c2,c_N)) | -red(plus(c_N,c1),x). [resolve(802,a,30,b)]. 3.018/3.018 3.018/3.018 given #240 (F,wt=12): 1069 -reds(s(x),U11(tt,c2,c_N)) | -red(plus(c_N,c2),x). [resolve(973,a,30,b)]. 3.018/3.018 3.018/3.018 given #241 (F,wt=12): 1123 -reds(s(plus(c_N,x)),U11(tt,c2,c_N)) | -red(c1,x). [resolve(1041,b,27,b)]. 3.018/3.018 3.018/3.018 given #242 (F,wt=12): 1124 -reds(s(plus(x,c1)),U11(tt,c2,c_N)) | -red(c_N,x). [resolve(1041,b,26,b)]. 3.018/3.018 3.018/3.018 given #243 (T,wt=9): 366 reds(plus(plus(x,c1),0),plus(x,c2)). [ur(21,a,35,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #244 (T,wt=9): 369 reds(plus(plus(c1,x),0),plus(c2,x)). [ur(21,a,35,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #245 (T,wt=9): 370 reds(s(plus(s(c1),0)),s(s(c2))). [ur(21,a,81,a,b,313,a)]. 3.018/3.018 3.018/3.018 given #246 (T,wt=9): 371 reds(plus(s(s(c1)),0),s(s(c2))). [ur(21,a,35,a,b,313,a)]. 3.018/3.018 3.018/3.018 given #247 (A,wt=15): 67 red(U21(U21(tt,x,y),z,u),U21(U22(tt,x,y),z,u)). [ur(24,a,33,a)]. 3.018/3.018 3.018/3.018 given #248 (F,wt=12): 1126 -reds(s(plus(c_N,x)),U11(tt,c2,c_N)) | -red(c2,x). [resolve(1069,b,27,b)]. 3.018/3.018 3.018/3.018 given #249 (F,wt=12): 1127 -reds(s(plus(x,c2)),U11(tt,c2,c_N)) | -red(c_N,x). [resolve(1069,b,26,b)]. 3.018/3.018 3.018/3.018 given #250 (F,wt=13): 279 -red(s(plus(c_N,c2)),plus(plus(U11(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,224,a)]. 3.018/3.018 3.018/3.018 given #251 (F,wt=13): 280 -red(U12(tt,c2,c_N),plus(plus(U11(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #252 (T,wt=9): 387 reds(plus(U12(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,335,a)]. 3.018/3.018 3.018/3.018 given #253 (T,wt=9): 389 reds(plus(U12(tt,0,x),0),s(x)). [ur(21,a,35,a,b,338,a)]. 3.018/3.018 3.018/3.018 given #254 (T,wt=9): 391 reds(plus(x(c1,c1),0),x(c2,c2)). [ur(21,a,35,a,b,341,a)]. 3.018/3.018 3.018/3.018 given #255 (T,wt=9): 392 reds(plus(plus(c1,c1),0),plus(c2,c2)). [ur(21,a,35,a,b,364,a)]. 3.018/3.018 3.018/3.018 given #256 (A,wt=15): 68 red(U12(U21(tt,x,y),z,u),U12(U22(tt,x,y),z,u)). [ur(23,a,33,a)]. 3.018/3.018 3.018/3.018 given #257 (F,wt=13): 281 -red(s(plus(c_N,c1)),plus(plus(plus(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #258 (F,wt=13): 282 -red(U11(tt,c2,c_N),plus(plus(U11(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #259 (F,wt=13): 283 -red(U12(tt,c1,c_N),plus(plus(plus(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #260 (F,wt=13): 284 -red(plus(c_N,s(c2)),plus(plus(U11(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #261 (T,wt=9): 413 reds(plus(U11(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #262 (T,wt=9): 415 reds(plus(U11(tt,0,x),0),s(x)). [ur(21,a,35,a,b,390,a)]. 3.018/3.018 3.018/3.018 given #263 (T,wt=9): 416 reds(plus(plus(c1,s(0)),0),s(c2)). [ur(21,a,35,a,b,412,a)]. 3.018/3.018 3.018/3.018 given #264 (T,wt=9): 418 reds(plus(plus(x,s(0)),0),s(x)). [ur(21,a,35,a,b,414,a)]. 3.018/3.018 3.018/3.018 given #265 (A,wt=15): 69 red(U11(U21(tt,x,y),z,u),U11(U22(tt,x,y),z,u)). [ur(22,a,33,a)]. 3.018/3.018 3.018/3.018 given #266 (F,wt=13): 285 -red(U11(tt,c1,c_N),plus(plus(plus(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #267 (F,wt=13): 409 -red(s(plus(c_N,c2)),plus(plus(plus(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,405,a)]. 3.018/3.018 3.018/3.018 given #268 (F,wt=13): 423 -red(plus(c_N,s(c2)),plus(plus(U12(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,420,a)]. 3.018/3.018 3.018/3.018 given #269 (F,wt=13): 428 -red(U11(tt,c2,c_N),plus(plus(U12(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #270 (T,wt=9): 421 reds(plus(x,s(y)),U12(tt,y,x)). [ur(21,a,36,a,b,50,a)]. 3.018/3.018 3.018/3.018 given #271 (T,wt=9): 457 reds(plus(U22(tt,s(0),0),0),0). [ur(21,a,35,a,b,437,a)]. 3.018/3.018 3.018/3.018 given #272 (T,wt=9): 460 reds(plus(U21(tt,s(0),0),0),0). [ur(21,a,35,a,b,458,a)]. 3.018/3.018 3.018/3.018 given #273 (T,wt=9): 461 reds(plus(x(0,s(s(0))),0),0). [ur(21,a,35,a,b,459,a)]. 3.018/3.018 3.018/3.018 given #274 (A,wt=12): 71 red(s(U22(tt,x,y)),s(plus(x(y,x),y))). [ur(30,a,34,a)]. 3.018/3.018 3.018/3.018 given #275 (F,wt=9): 1198 -reds(U11(tt,c1,c_N),U12(tt,c2,c_N)). [resolve(421,a,40,a)]. 3.018/3.018 3.018/3.018 given #276 (F,wt=9): 1239 -red(U11(tt,c1,c_N),U12(tt,c2,c_N)). [ur(21,b,20,a,c,1198,a)]. 3.018/3.018 3.018/3.018 given #277 (F,wt=9): 1240 -reds(U12(tt,c1,c_N),U12(tt,c2,c_N)). [ur(21,a,31,a,c,1198,a)]. 3.018/3.018 3.018/3.018 given #278 (F,wt=9): 1247 -red(U12(tt,c1,c_N),U12(tt,c2,c_N)). [ur(21,b,20,a,c,1240,a)]. 3.018/3.018 3.018/3.018 given #279 (T,wt=8): 1220 reds(U22(tt,s(s(0)),0),0). [ur(21,a,34,a,b,461,a)]. 3.018/3.018 3.018/3.018 given #280 (T,wt=8): 1230 reds(s(U22(tt,0,0)),s(0)). [ur(21,a,71,a,b,339,a)]. 3.018/3.018 3.018/3.018 given #281 (T,wt=8): 1250 reds(U21(tt,s(s(0)),0),0). [ur(21,a,33,a,b,1220,a)]. 3.018/3.018 3.018/3.018 given #282 (T,wt=8): 1252 reds(s(U21(tt,0,0)),s(0)). [ur(21,a,61,a,b,1230,a)]. 3.018/3.018 3.018/3.018 given #283 (A,wt=14): 72 red(x(x,U22(tt,y,z)),x(x,plus(x(z,y),z))). [ur(29,a,34,a)]. 3.018/3.018 3.018/3.018 given #284 (F,wt=9): 1248 -reds(s(plus(c_N,c1)),U12(tt,c2,c_N)). [ur(21,a,32,a,c,1240,a)]. 3.018/3.018 3.018/3.018 given #285 (F,wt=9): 1275 -red(s(plus(c_N,c1)),U12(tt,c2,c_N)). [ur(21,b,20,a,c,1248,a)]. 3.018/3.018 3.018/3.018 given #286 (F,wt=9): 1276 -reds(s(plus(c_N,c2)),U12(tt,c2,c_N)). [ur(21,a,245,a,c,1248,a)]. 3.018/3.018 3.018/3.018 given #287 (F,wt=9): 1283 -red(s(plus(c_N,c2)),U12(tt,c2,c_N)). [ur(21,b,20,a,c,1276,a)]. 3.018/3.018 3.018/3.018 given #288 (T,wt=8): 1254 reds(x(0,s(s(s(0)))),0). [ur(21,a,38,a,b,1250,a)]. 3.018/3.018 3.018/3.018 given #289 (T,wt=9): 478 reds(U11(tt,x,y),s(plus(y,x))). [ur(21,a,31,a,b,60,a)]. 3.018/3.018 3.018/3.018 given #290 (T,wt=9): 479 reds(x(x,s(y)),U22(tt,y,x)). [ur(21,a,38,a,b,70,a)]. 3.018/3.018 3.018/3.018 given #291 (T,wt=9): 491 reds(x(0,plus(s(s(0)),0)),0). [ur(21,a,82,a,b,459,a)]. 3.018/3.018 3.018/3.018 given #292 (A,wt=14): 73 red(x(U22(tt,x,y),z),x(plus(x(y,x),y),z)). [ur(28,a,34,a)]. 3.018/3.018 3.018/3.018 given #293 (F,wt=9): 1288 -reds(plus(c_N,s(c2)),s(plus(c_N,c1))). [resolve(478,a,40,b)]. 3.018/3.018 3.018/3.018 given #294 (F,wt=9): 1334 -red(plus(c_N,s(c2)),s(plus(c_N,c1))). [ur(21,b,20,a,c,1288,a)]. 3.018/3.018 3.018/3.018 given #295 (F,wt=9): 1335 -reds(U11(tt,c2,c_N),s(plus(c_N,c1))). [ur(21,a,36,a,c,1288,a)]. 3.018/3.018 3.018/3.018 given #296 (F,wt=9): 1351 -red(U11(tt,c2,c_N),s(plus(c_N,c1))). [ur(21,b,20,a,c,1335,a)]. 3.018/3.018 3.018/3.018 given #297 (T,wt=9): 492 reds(x(c1,plus(c1,0)),x(c2,c2)). [ur(21,a,82,a,b,341,a)]. 3.018/3.018 3.018/3.018 given #298 (T,wt=9): 494 reds(x(c1,plus(x,0)),x(c2,x)). [ur(21,a,82,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #299 (T,wt=9): 495 reds(x(x,plus(c1,0)),x(x,c2)). [ur(21,a,82,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #300 (T,wt=9): 497 reds(x(x,plus(y,0)),x(x,y)). [ur(21,a,82,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #301 (A,wt=14): 74 red(plus(x,U22(tt,y,z)),plus(x,plus(x(z,y),z))). [ur(27,a,34,a)]. 3.018/3.018 3.018/3.018 given #302 (F,wt=9): 1352 -reds(U12(tt,c2,c_N),s(plus(c_N,c1))). [ur(21,a,31,a,c,1335,a)]. 3.018/3.018 3.018/3.018 given #303 (F,wt=9): 1405 -red(U12(tt,c2,c_N),s(plus(c_N,c1))). [ur(21,b,20,a,c,1352,a)]. 3.018/3.018 3.018/3.018 given #304 (F,wt=9): 1406 -reds(s(plus(c_N,c2)),s(plus(c_N,c1))). [ur(21,a,32,a,c,1352,a)]. 3.018/3.018 3.018/3.018 given #305 (F,wt=9): 1422 -red(s(plus(c_N,c2)),s(plus(c_N,c1))). [ur(21,b,20,a,c,1406,a)]. 3.018/3.018 3.018/3.018 given #306 (T,wt=9): 514 reds(x(x,plus(plus(0,0),0)),0). [ur(21,a,82,a,b,496,a)]. 3.018/3.018 3.018/3.018 given #307 (T,wt=9): 515 reds(plus(x(x,plus(0,0)),0),0). [ur(21,a,35,a,b,496,a)]. 3.018/3.018 3.018/3.018 given #308 (T,wt=8): 1429 reds(U22(tt,plus(0,0),0),0). [ur(21,a,34,a,b,515,a)]. 3.018/3.018 3.018/3.018 given #309 (T,wt=8): 1431 reds(U21(tt,plus(0,0),0),0). [ur(21,a,33,a,b,1429,a)]. 3.018/3.018 3.018/3.018 given #310 (A,wt=14): 75 red(plus(U22(tt,x,y),z),plus(plus(x(y,x),y),z)). [ur(26,a,34,a)]. 3.018/3.018 3.018/3.018 given #311 (F,wt=7): 1423 -red(plus(c_N,c2),plus(c_N,c1)). [resolve(1422,a,30,b)]. 3.018/3.018 3.018/3.018 given #312 (F,wt=11): 1238 -red(U11(tt,c1,c_N),plus(U12(tt,c2,c_N),0)). [ur(21,b,90,a,c,1198,a)]. 3.018/3.018 3.018/3.018 given #313 (F,wt=11): 1246 -red(U12(tt,c1,c_N),plus(U12(tt,c2,c_N),0)). [ur(21,b,90,a,c,1240,a)]. 3.018/3.018 3.018/3.018 given #314 (F,wt=11): 1274 -red(s(plus(c_N,c1)),plus(U12(tt,c2,c_N),0)). [ur(21,b,90,a,c,1248,a)]. 3.018/3.018 3.018/3.018 given #315 (T,wt=8): 1432 reds(x(0,s(plus(0,0))),0). [ur(21,a,38,a,b,1431,a)]. 3.018/3.018 3.018/3.018 given #316 (T,wt=8): 1456 reds(x(0,U12(tt,0,0)),0). [ur(21,a,52,a,b,1432,a)]. 3.018/3.018 3.018/3.018 given #317 (T,wt=8): 1461 reds(x(0,U11(tt,0,0)),0). [ur(21,a,42,a,b,1456,a)]. 3.018/3.018 3.018/3.018 given #318 (T,wt=9): 529 reds(x(plus(0,0),s(s(0))),0). [ur(21,a,83,a,b,459,a)]. 3.018/3.018 3.018/3.018 given #319 (A,wt=16): 76 red(U22(U22(tt,x,y),z,u),U22(plus(x(y,x),y),z,u)). [ur(25,a,34,a)]. 3.018/3.018 3.018/3.018 given #320 (F,wt=11): 1282 -red(s(plus(c_N,c2)),plus(U12(tt,c2,c_N),0)). [ur(21,b,90,a,c,1276,a)]. 3.018/3.018 3.018/3.018 given #321 (F,wt=11): 1324 -red(plus(c_N,s(c2)),plus(plus(c_N,c1),s(0))). [ur(21,b,414,a,c,1288,a)]. 3.018/3.018 3.018/3.018 given #322 (F,wt=11): 1325 -red(plus(c_N,s(c2)),U11(tt,0,plus(c_N,c1))). [ur(21,b,390,a,c,1288,a)]. 3.018/3.018 3.018/3.018 given #323 (F,wt=11): 1327 -red(plus(c_N,s(c2)),U12(tt,0,plus(c_N,c1))). [ur(21,b,338,a,c,1288,a)]. 3.018/3.018 3.018/3.018 given #324 (T,wt=9): 530 reds(x(plus(c1,0),c1),x(c2,c2)). [ur(21,a,83,a,b,341,a)]. 3.018/3.018 3.018/3.018 given #325 (T,wt=9): 532 reds(x(plus(c1,0),x),x(c2,x)). [ur(21,a,83,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #326 (T,wt=9): 533 reds(x(plus(x,0),c1),x(x,c2)). [ur(21,a,83,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #327 (T,wt=9): 534 reds(x(plus(x,0),y),x(x,y)). [ur(21,a,83,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #328 (A,wt=16): 77 red(U21(U22(tt,x,y),z,u),U21(plus(x(y,x),y),z,u)). [ur(24,a,34,a)]. 3.018/3.018 3.018/3.018 given #329 (F,wt=11): 1331 -red(plus(c_N,s(c2)),s(plus(plus(c_N,c1),0))). [ur(21,b,200,a,c,1288,a)]. 3.018/3.018 3.018/3.018 given #330 (F,wt=11): 1333 -red(plus(c_N,s(c2)),plus(s(plus(c_N,c1)),0)). [ur(21,b,90,a,c,1288,a)]. 3.018/3.018 3.018/3.018 given #331 (F,wt=11): 1341 -red(U11(tt,c2,c_N),plus(plus(c_N,c1),s(0))). [ur(21,b,414,a,c,1335,a)]. 3.018/3.018 3.018/3.018 given #332 (F,wt=11): 1342 -red(U11(tt,c2,c_N),U11(tt,0,plus(c_N,c1))). [ur(21,b,390,a,c,1335,a)]. 3.018/3.018 3.018/3.018 given #333 (T,wt=9): 564 reds(plus(x,plus(s(0),0)),s(x)). [ur(21,a,84,a,b,414,a)]. 3.018/3.018 3.018/3.018 given #334 (T,wt=9): 565 reds(plus(c1,plus(s(0),0)),s(c2)). [ur(21,a,84,a,b,412,a)]. 3.018/3.018 3.018/3.018 given #335 (T,wt=9): 566 reds(plus(c1,plus(c1,0)),plus(c2,c2)). [ur(21,a,84,a,b,364,a)]. 3.018/3.018 3.018/3.018 given #336 (T,wt=9): 570 reds(plus(c1,plus(x,0)),plus(c2,x)). [ur(21,a,84,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #337 (A,wt=16): 78 red(U12(U22(tt,x,y),z,u),U12(plus(x(y,x),y),z,u)). [ur(23,a,34,a)]. 3.018/3.018 3.018/3.018 given #338 (F,wt=11): 1344 -red(U11(tt,c2,c_N),U12(tt,0,plus(c_N,c1))). [ur(21,b,338,a,c,1335,a)]. 3.018/3.018 3.018/3.018 given #339 (F,wt=11): 1348 -red(U11(tt,c2,c_N),s(plus(plus(c_N,c1),0))). [ur(21,b,200,a,c,1335,a)]. 3.018/3.018 3.018/3.018 given #340 (F,wt=11): 1350 -red(U11(tt,c2,c_N),plus(s(plus(c_N,c1)),0)). [ur(21,b,90,a,c,1335,a)]. 3.018/3.018 3.018/3.018 given #341 (F,wt=11): 1395 -red(U12(tt,c2,c_N),plus(plus(c_N,c1),s(0))). [ur(21,b,414,a,c,1352,a)]. 3.018/3.018 3.018/3.018 given #342 (T,wt=9): 571 reds(plus(x,plus(c1,0)),plus(x,c2)). [ur(21,a,84,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #343 (T,wt=9): 572 reds(plus(s(c1),plus(0,0)),s(c2)). [ur(21,a,84,a,b,189,a)]. 3.018/3.018 3.018/3.018 given #344 (T,wt=9): 573 reds(plus(plus(c1,0),plus(0,0)),c2). [ur(21,a,84,a,b,188,a)]. 3.018/3.018 3.018/3.018 given #345 (T,wt=9): 574 reds(plus(x(x,0),plus(0,0)),0). [ur(21,a,84,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #346 (A,wt=16): 79 red(U11(U22(tt,x,y),z,u),U11(plus(x(y,x),y),z,u)). [ur(22,a,34,a)]. 3.018/3.018 3.018/3.018 given #347 (F,wt=11): 1396 -red(U12(tt,c2,c_N),U11(tt,0,plus(c_N,c1))). [ur(21,b,390,a,c,1352,a)]. 3.018/3.018 3.018/3.018 given #348 (F,wt=11): 1398 -red(U12(tt,c2,c_N),U12(tt,0,plus(c_N,c1))). [ur(21,b,338,a,c,1352,a)]. 3.018/3.018 3.018/3.018 given #349 (F,wt=11): 1402 -red(U12(tt,c2,c_N),s(plus(plus(c_N,c1),0))). [ur(21,b,200,a,c,1352,a)]. 3.018/3.018 3.018/3.018 given #350 (F,wt=11): 1404 -red(U12(tt,c2,c_N),plus(s(plus(c_N,c1)),0)). [ur(21,b,90,a,c,1352,a)]. 3.018/3.018 3.018/3.018 given #351 (T,wt=8): 1561 reds(U22(tt,0,plus(0,0)),0). [ur(21,a,34,a,b,574,a)]. 3.018/3.018 3.018/3.018 given #352 (T,wt=8): 1573 reds(U21(tt,0,plus(0,0)),0). [ur(21,a,33,a,b,1561,a)]. 3.018/3.018 3.018/3.018 given #353 (T,wt=9): 575 reds(plus(plus(x,0),plus(0,0)),x). [ur(21,a,84,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #354 (T,wt=9): 578 reds(plus(x,plus(y,0)),plus(x,y)). [ur(21,a,84,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #355 (A,wt=10): 80 reds(U22(tt,x,y),plus(x(y,x),y)). [ur(21,a,34,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #356 (F,wt=11): 1412 -red(s(plus(c_N,c2)),plus(plus(c_N,c1),s(0))). [ur(21,b,414,a,c,1406,a)]. 3.018/3.018 3.018/3.018 given #357 (F,wt=11): 1413 -red(s(plus(c_N,c2)),U11(tt,0,plus(c_N,c1))). [ur(21,b,390,a,c,1406,a)]. 3.018/3.018 3.018/3.018 given #358 (F,wt=11): 1415 -red(s(plus(c_N,c2)),U12(tt,0,plus(c_N,c1))). [ur(21,b,338,a,c,1406,a)]. 3.018/3.018 3.018/3.018 given #359 (F,wt=11): 1419 -red(s(plus(c_N,c2)),s(plus(plus(c_N,c1),0))). [ur(21,b,200,a,c,1406,a)]. 3.018/3.018 3.018/3.018 given #360 (T,wt=9): 579 reds(plus(c1,plus(plus(0,0),0)),c2). [ur(21,a,84,a,b,576,a)]. 3.018/3.018 3.018/3.018 given #361 (T,wt=9): 580 reds(plus(plus(c1,plus(0,0)),0),c2). [ur(21,a,35,a,b,576,a)]. 3.018/3.018 3.018/3.018 given #362 (T,wt=9): 590 reds(plus(x,plus(plus(0,0),0)),x). [ur(21,a,84,a,b,577,a)]. 3.018/3.018 3.018/3.018 given #363 (T,wt=9): 592 reds(plus(plus(x,plus(0,0)),0),x). [ur(21,a,35,a,b,577,a)]. 3.018/3.018 3.018/3.018 given #364 (A,wt=11): 86 red(U22(plus(x,0),y,z),U22(x,y,z)). [ur(25,a,35,a)]. 3.018/3.018 3.018/3.018 given #365 (F,wt=9): 1618 -red(plus(c_N,c2),plus(plus(c_N,c1),0)). [resolve(1419,a,30,b)]. 3.018/3.018 3.018/3.018 given #366 (F,wt=11): 1421 -red(s(plus(c_N,c2)),plus(s(plus(c_N,c1)),0)). [ur(21,b,90,a,c,1406,a)]. 3.018/3.018 3.018/3.018 given #367 (F,wt=11): 1602 -red(s(plus(c_N,c2)),plus(c_N,plus(s(c2),0))). [resolve(578,a,408,b)]. 3.018/3.018 3.018/3.018 given #368 (F,wt=11): 1603 -red(s(plus(c_N,c1)),plus(c_N,plus(s(c2),0))). [resolve(578,a,185,b)]. 3.018/3.018 3.018/3.018 given #369 (T,wt=8): 1697 reds(U22(plus(tt,0),0,0),0). [ur(21,a,86,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #370 (T,wt=9): 606 reds(plus(plus(x,0),s(0)),s(x)). [ur(21,a,85,a,b,414,a)]. 3.018/3.018 3.018/3.018 given #371 (T,wt=9): 607 reds(plus(plus(c1,0),s(0)),s(c2)). [ur(21,a,85,a,b,412,a)]. 3.018/3.018 3.018/3.018 given #372 (T,wt=9): 608 reds(plus(plus(c1,0),c1),plus(c2,c2)). [ur(21,a,85,a,b,364,a)]. 3.018/3.018 3.018/3.018 given #373 (A,wt=11): 87 red(U21(plus(x,0),y,z),U21(x,y,z)). [ur(24,a,35,a)]. 3.018/3.018 3.018/3.018 given #374 (F,wt=11): 1604 -red(U12(tt,c1,c_N),plus(c_N,plus(s(c2),0))). [resolve(578,a,151,b)]. 3.018/3.018 3.018/3.018 given #375 (F,wt=11): 1605 -red(U11(tt,c1,c_N),plus(c_N,plus(s(c2),0))). [resolve(578,a,145,b)]. 3.018/3.018 3.018/3.018 given #376 (F,wt=12): 1233 -red(U11(tt,c1,c_N),x) | -reds(x,U12(tt,c2,c_N)). [resolve(1198,a,21,c)]. 3.018/3.018 3.018/3.018 given #377 (F,wt=12): 1241 -red(U12(tt,c1,c_N),x) | -reds(x,U12(tt,c2,c_N)). [resolve(1240,a,21,c)]. 3.018/3.018 3.018/3.018 given #378 (T,wt=8): 1729 reds(U21(plus(tt,0),0,0),0). [ur(21,a,87,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #379 (T,wt=9): 609 reds(plus(plus(c1,0),x),plus(c2,x)). [ur(21,a,85,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #380 (T,wt=9): 610 reds(plus(plus(x,0),c1),plus(x,c2)). [ur(21,a,85,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #381 (T,wt=9): 611 reds(plus(plus(x,0),y),plus(x,y)). [ur(21,a,85,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #382 (A,wt=11): 88 red(U12(plus(x,0),y,z),U12(x,y,z)). [ur(23,a,35,a)]. 3.018/3.018 3.018/3.018 given #383 (F,wt=11): 1748 -red(s(plus(c_N,c2)),plus(plus(c_N,0),s(c2))). [resolve(611,a,408,b)]. 3.018/3.018 3.018/3.018 given #384 (F,wt=11): 1749 -red(s(plus(c_N,c1)),plus(plus(c_N,0),s(c2))). [resolve(611,a,185,b)]. 3.018/3.018 3.018/3.018 given #385 (F,wt=11): 1750 -red(U12(tt,c1,c_N),plus(plus(c_N,0),s(c2))). [resolve(611,a,151,b)]. 3.018/3.018 3.018/3.018 given #386 (F,wt=11): 1751 -red(U11(tt,c1,c_N),plus(plus(c_N,0),s(c2))). [resolve(611,a,145,b)]. 3.018/3.018 3.018/3.018 given #387 (T,wt=9): 639 reds(plus(c1,s(x)),U11(tt,x,c2)). [ur(21,a,125,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #388 (T,wt=9): 656 reds(x(c1,x(x,0)),x(c2,0)). [ur(21,a,102,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #389 (T,wt=9): 658 reds(x(x,x(y,0)),x(x,0)). [ur(21,a,102,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #390 (T,wt=9): 659 reds(x(x,plus(x(y,0),0)),0). [ur(21,a,82,a,b,657,a)]. 3.018/3.018 3.018/3.018 given #391 (A,wt=11): 89 red(U11(plus(x,0),y,z),U11(x,y,z)). [ur(22,a,35,a)]. 3.018/3.018 3.018/3.018 given #392 (F,wt=12): 1269 -red(s(plus(c_N,c1)),x) | -reds(x,U12(tt,c2,c_N)). [resolve(1248,a,21,c)]. 3.018/3.018 3.018/3.018 given #393 (F,wt=12): 1277 -red(s(plus(c_N,c2)),x) | -reds(x,U12(tt,c2,c_N)). [resolve(1276,a,21,c)]. 3.018/3.018 3.018/3.018 given #394 (F,wt=12): 1319 -red(plus(c_N,s(c2)),x) | -reds(x,s(plus(c_N,c1))). [resolve(1288,a,21,c)]. 3.018/3.018 3.018/3.018 given #395 (F,wt=12): 1336 -red(U11(tt,c2,c_N),x) | -reds(x,s(plus(c_N,c1))). [resolve(1335,a,21,c)]. 3.018/3.018 3.018/3.018 given #396 (T,wt=8): 1789 reds(x(x,U22(tt,0,0)),0). [ur(21,a,72,a,b,659,a)]. 3.018/3.018 3.018/3.018 given #397 (T,wt=8): 1815 reds(x(x,U21(tt,0,0)),0). [ur(21,a,62,a,b,1789,a)]. 3.018/3.018 3.018/3.018 given #398 (T,wt=9): 660 reds(plus(x(x,x(y,0)),0),0). [ur(21,a,35,a,b,657,a)]. 3.018/3.018 3.018/3.018 given #399 (T,wt=8): 1822 reds(U22(tt,x(x,0),0),0). [ur(21,a,34,a,b,660,a)]. 3.018/3.018 3.018/3.018 given #400 (A,wt=11): 91 red(s(plus(x,s(y))),s(U11(tt,y,x))). [ur(30,a,36,a)]. 3.018/3.018 3.018/3.018 given #401 (F,wt=12): 1390 -red(U12(tt,c2,c_N),x) | -reds(x,s(plus(c_N,c1))). [resolve(1352,a,21,c)]. 3.018/3.018 3.018/3.018 given #402 (F,wt=12): 1407 -red(s(plus(c_N,c2)),x) | -reds(x,s(plus(c_N,c1))). [resolve(1406,a,21,c)]. 3.018/3.018 3.018/3.018 given #403 (F,wt=12): 1732 -reds(U11(x,c1,c_N),U12(tt,c2,c_N)) | -red(tt,x). [resolve(1233,a,22,b)]. 3.018/3.018 3.018/3.018 given #404 (F,wt=12): 1734 -reds(U12(x,c1,c_N),U12(tt,c2,c_N)) | -red(tt,x). [resolve(1241,a,23,b)]. 3.018/3.018 3.018/3.018 given #405 (T,wt=8): 1825 reds(U21(tt,x(x,0),0),0). [ur(21,a,33,a,b,1822,a)]. 3.018/3.018 3.018/3.018 given #406 (T,wt=8): 1843 reds(x(0,s(x(x,0))),0). [ur(21,a,38,a,b,1825,a)]. 3.018/3.018 3.018/3.018 given #407 (T,wt=9): 672 reds(x(x(x,0),s(s(0))),0). [ur(21,a,103,a,b,459,a)]. 3.018/3.018 3.018/3.018 given #408 (T,wt=9): 674 reds(x(x(x,0),c1),x(0,c2)). [ur(21,a,103,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #409 (A,wt=13): 92 red(x(x,plus(y,s(z))),x(x,U11(tt,z,y))). [ur(29,a,36,a)]. 3.018/3.018 3.018/3.018 given #410 (F,wt=12): 1805 -reds(s(x),U12(tt,c2,c_N)) | -red(plus(c_N,c1),x). [resolve(1269,a,30,b)]. 3.018/3.018 3.018/3.018 given #411 (F,wt=12): 1807 -reds(s(x),U12(tt,c2,c_N)) | -red(plus(c_N,c2),x). [resolve(1277,a,30,b)]. 3.018/3.018 3.018/3.018 given #412 (F,wt=12): 1809 -reds(plus(c_N,x),s(plus(c_N,c1))) | -red(s(c2),x). [resolve(1319,a,27,b)]. 3.018/3.018 3.018/3.018 given #413 (F,wt=12): 1810 -reds(plus(x,s(c2)),s(plus(c_N,c1))) | -red(c_N,x). [resolve(1319,a,26,b)]. 3.018/3.018 3.018/3.018 given #414 (T,wt=8): 1862 reds(x(0,plus(0,s(0))),0). [ur(21,a,92,a,b,1461,a)]. 3.018/3.018 3.018/3.018 given #415 (T,wt=9): 675 reds(x(x(x,0),y),x(0,y)). [ur(21,a,103,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #416 (T,wt=9): 700 reds(plus(c1,x(x,0)),plus(c2,0)). [ur(21,a,104,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #417 (T,wt=9): 701 reds(plus(s(c1),x(x,0)),s(c2)). [ur(21,a,104,a,b,189,a)]. 3.018/3.018 3.018/3.018 given #418 (A,wt=13): 93 red(x(plus(x,s(y)),z),x(U11(tt,y,x),z)). [ur(28,a,36,a)]. 3.018/3.018 3.018/3.018 given #419 (F,wt=12): 1812 -reds(U11(x,c2,c_N),s(plus(c_N,c1))) | -red(tt,x). [resolve(1336,a,22,b)]. 3.018/3.018 3.018/3.018 given #420 (F,wt=12): 1836 -reds(U12(x,c2,c_N),s(plus(c_N,c1))) | -red(tt,x). [resolve(1390,a,23,b)]. 3.018/3.018 3.018/3.018 given #421 (F,wt=12): 1838 -reds(s(x),s(plus(c_N,c1))) | -red(plus(c_N,c2),x). [resolve(1407,a,30,b)]. 3.018/3.018 3.018/3.018 given #422 (F,wt=11): 1910 -red(plus(c_N,c2),plus(plus(plus(c_N,c1),0),0)). [resolve(1838,a,336,a)]. 3.018/3.018 3.018/3.018 given #423 (T,wt=9): 702 reds(plus(plus(c1,0),x(x,0)),c2). [ur(21,a,104,a,b,188,a)]. 3.018/3.018 3.018/3.018 given #424 (T,wt=9): 703 reds(plus(x(x,0),x(y,0)),0). [ur(21,a,104,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #425 (T,wt=8): 1918 reds(U22(tt,0,x(x,0)),0). [ur(21,a,34,a,b,703,a)]. 3.018/3.018 3.018/3.018 given #426 (T,wt=8): 1921 reds(U21(tt,0,x(x,0)),0). [ur(21,a,33,a,b,1918,a)]. 3.018/3.018 3.018/3.018 given #427 (A,wt=13): 94 red(plus(x,plus(y,s(z))),plus(x,U11(tt,z,y))). [ur(27,a,36,a)]. 3.018/3.018 3.018/3.018 given #428 (F,wt=12): 1868 -reds(s(plus(c_N,x)),U12(tt,c2,c_N)) | -red(c1,x). [resolve(1805,b,27,b)]. 3.018/3.018 3.018/3.018 given #429 (F,wt=12): 1869 -reds(s(plus(x,c1)),U12(tt,c2,c_N)) | -red(c_N,x). [resolve(1805,b,26,b)]. 3.018/3.018 3.018/3.018 given #430 (F,wt=12): 1871 -reds(s(plus(c_N,x)),U12(tt,c2,c_N)) | -red(c2,x). [resolve(1807,b,27,b)]. 3.018/3.018 3.018/3.018 given #431 (F,wt=12): 1872 -reds(s(plus(x,c2)),U12(tt,c2,c_N)) | -red(c_N,x). [resolve(1807,b,26,b)]. 3.018/3.018 3.018/3.018 given #432 (T,wt=9): 704 reds(plus(plus(x,0),x(y,0)),x). [ur(21,a,104,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #433 (T,wt=9): 707 reds(plus(x,x(y,0)),plus(x,0)). [ur(21,a,104,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #434 (T,wt=9): 708 reds(plus(c1,plus(x(x,0),0)),c2). [ur(21,a,84,a,b,705,a)]. 3.018/3.018 3.018/3.018 given #435 (T,wt=8): 1978 reds(plus(c1,U22(tt,0,0)),c2). [ur(21,a,74,a,b,708,a)]. 3.018/3.018 3.018/3.018 given #436 (A,wt=13): 95 red(plus(plus(x,s(y)),z),plus(U11(tt,y,x),z)). [ur(26,a,36,a)]. 3.018/3.018 3.018/3.018 given #437 (F,wt=12): 1874 -reds(plus(c_N,s(x)),s(plus(c_N,c1))) | -red(c2,x). [resolve(1809,b,30,b)]. 3.018/3.018 3.018/3.018 given #438 (F,wt=12): 1912 -reds(s(plus(c_N,x)),s(plus(c_N,c1))) | -red(c2,x). [resolve(1838,b,27,b)]. 3.018/3.018 3.018/3.018 given #439 (F,wt=12): 1913 -reds(s(plus(x,c2)),s(plus(c_N,c1))) | -red(c_N,x). [resolve(1838,b,26,b)]. 3.018/3.018 3.018/3.018 given #440 (F,wt=13): 449 -red(U12(tt,c2,c_N),plus(plus(U12(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,431,a)]. 3.018/3.018 3.018/3.018 given #441 (T,wt=8): 1982 reds(plus(c1,U21(tt,0,0)),c2). [ur(21,a,64,a,b,1978,a)]. 3.018/3.018 3.018/3.018 given #442 (T,wt=9): 709 reds(plus(plus(c1,x(x,0)),0),c2). [ur(21,a,35,a,b,705,a)]. 3.018/3.018 3.018/3.018 given #443 (T,wt=9): 722 reds(plus(x,plus(x(y,0),0)),x). [ur(21,a,84,a,b,706,a)]. 3.018/3.018 3.018/3.018 given #444 (T,wt=8): 2041 reds(plus(x,U22(tt,0,0)),x). [ur(21,a,74,a,b,722,a)]. 3.018/3.018 3.018/3.018 given #445 (A,wt=15): 96 red(U22(plus(x,s(y)),z,u),U22(U11(tt,y,x),z,u)). [ur(25,a,36,a)]. 3.018/3.018 3.018/3.018 given #446 (F,wt=13): 454 -red(s(plus(c_N,c2)),plus(plus(U12(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,452,a)]. 3.018/3.018 3.018/3.018 given #447 (F,wt=13): 581 -red(plus(c_N,s(c2)),plus(U12(tt,c1,c_N),plus(0,0))). [resolve(577,a,422,b)]. 3.018/3.018 3.018/3.018 given #448 (F,wt=13): 582 -red(s(plus(c_N,c2)),plus(plus(c_N,s(c2)),plus(0,0))). [resolve(577,a,408,b)]. 3.018/3.018 3.018/3.018 given #449 (F,wt=13): 583 -red(s(plus(c_N,c2)),plus(U11(tt,c1,c_N),plus(0,0))). [resolve(577,a,275,b)]. 3.018/3.018 3.018/3.018 given #450 (T,wt=8): 2078 reds(plus(x,U21(tt,0,0)),x). [ur(21,a,64,a,b,2041,a)]. 3.018/3.018 3.018/3.018 given #451 (T,wt=9): 725 reds(plus(plus(x,x(y,0)),0),x). [ur(21,a,35,a,b,706,a)]. 3.018/3.018 3.018/3.018 given #452 (T,wt=9): 753 reds(plus(x(x,0),s(0)),s(0)). [ur(21,a,105,a,b,414,a)]. 3.018/3.018 3.018/3.018 given #453 (T,wt=8): 2158 reds(U22(tt,0,s(0)),s(0)). [ur(21,a,34,a,b,753,a)]. 3.018/3.018 3.018/3.018 given #454 (A,wt=15): 97 red(U21(plus(x,s(y)),z,u),U21(U11(tt,y,x),z,u)). [ur(24,a,36,a)]. 3.018/3.018 3.018/3.018 given #455 (F,wt=13): 584 -red(U12(tt,c2,c_N),plus(U11(tt,c1,c_N),plus(0,0))). [resolve(577,a,221,b)]. 3.018/3.018 3.018/3.018 given #456 (F,wt=13): 585 -red(s(plus(c_N,c1)),plus(plus(c_N,s(c2)),plus(0,0))). [resolve(577,a,185,b)]. 3.018/3.018 3.018/3.018 given #457 (F,wt=13): 586 -red(U11(tt,c2,c_N),plus(U11(tt,c1,c_N),plus(0,0))). [resolve(577,a,181,b)]. 3.018/3.018 3.018/3.018 given #458 (F,wt=13): 587 -red(U12(tt,c1,c_N),plus(plus(c_N,s(c2)),plus(0,0))). [resolve(577,a,151,b)]. 3.018/3.018 3.018/3.018 given #459 (T,wt=8): 2161 reds(U21(tt,0,s(0)),s(0)). [ur(21,a,33,a,b,2158,a)]. 3.018/3.018 3.018/3.018 given #460 (T,wt=8): 2173 reds(x(s(0),s(0)),s(0)). [ur(21,a,38,a,b,2161,a)]. 3.018/3.018 3.018/3.018 given #461 (T,wt=9): 754 reds(plus(x(x,0),c1),plus(0,c2)). [ur(21,a,105,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #462 (T,wt=8): 2180 reds(U22(tt,0,c1),plus(0,c2)). [ur(21,a,34,a,b,754,a)]. 3.018/3.018 3.018/3.018 given #463 (A,wt=15): 98 red(U12(plus(x,s(y)),z,u),U12(U11(tt,y,x),z,u)). [ur(23,a,36,a)]. 3.018/3.018 3.018/3.018 given #464 (F,wt=13): 588 -red(plus(c_N,s(c2)),plus(U11(tt,c1,c_N),plus(0,0))). [resolve(577,a,148,b)]. 3.018/3.018 3.018/3.018 given #465 (F,wt=13): 589 -red(U11(tt,c1,c_N),plus(plus(c_N,s(c2)),plus(0,0))). [resolve(577,a,145,b)]. 3.018/3.018 3.018/3.018 given #466 (F,wt=13): 594 -red(s(plus(c_N,c2)),plus(U12(tt,c1,c_N),plus(0,0))). [ur(21,b,577,a,c,452,a)]. 3.018/3.018 3.018/3.018 given #467 (F,wt=13): 595 -red(U12(tt,c2,c_N),plus(U12(tt,c1,c_N),plus(0,0))). [ur(21,b,577,a,c,431,a)]. 3.018/3.018 3.018/3.018 given #468 (T,wt=8): 2183 reds(U21(tt,0,c1),plus(0,c2)). [ur(21,a,33,a,b,2180,a)]. 3.018/3.018 3.018/3.018 given #469 (T,wt=8): 2195 reds(x(c1,s(0)),plus(0,c2)). [ur(21,a,38,a,b,2183,a)]. 3.018/3.018 3.018/3.018 given #470 (T,wt=9): 756 reds(plus(x(x,0),y),plus(0,y)). [ur(21,a,105,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #471 (T,wt=8): 2208 reds(U22(tt,0,x),plus(0,x)). [ur(21,a,34,a,b,756,a)]. 3.018/3.018 3.018/3.018 given #472 (A,wt=15): 99 red(U11(plus(x,s(y)),z,u),U11(U11(tt,y,x),z,u)). [ur(22,a,36,a)]. 3.018/3.018 3.018/3.018 given #473 (F,wt=13): 596 -red(U11(tt,c2,c_N),plus(U12(tt,c1,c_N),plus(0,0))). [ur(21,b,577,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #474 (F,wt=13): 710 -red(s(plus(c_N,c2)),plus(U12(tt,c1,c_N),x(x,0))). [resolve(706,a,453,b)]. 3.018/3.018 3.018/3.018 given #475 (F,wt=13): 711 -red(U12(tt,c2,c_N),plus(U12(tt,c1,c_N),x(x,0))). [resolve(706,a,448,b)]. 3.018/3.018 3.018/3.018 given #476 (F,wt=13): 712 -red(U11(tt,c2,c_N),plus(U12(tt,c1,c_N),x(x,0))). [resolve(706,a,427,b)]. 3.018/3.018 3.018/3.018 given #477 (T,wt=8): 2211 reds(U21(tt,0,x),plus(0,x)). [ur(21,a,33,a,b,2208,a)]. 3.018/3.018 3.018/3.018 given #478 (T,wt=8): 2223 reds(x(x,s(0)),plus(0,x)). [ur(21,a,38,a,b,2211,a)]. 3.018/3.018 3.018/3.018 given #479 (T,wt=9): 757 reds(x(c1,s(x)),U21(tt,x,c2)). [ur(21,a,123,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #480 (T,wt=9): 774 reds(U22(c1,x,y),U22(c2,x,y)). [ur(21,a,126,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #481 (A,wt=11): 106 red(U22(x(x,0),y,z),U22(0,y,z)). [ur(25,a,37,a)]. 3.018/3.018 3.018/3.018 given #482 (F,wt=13): 713 -red(plus(c_N,s(c2)),plus(U12(tt,c1,c_N),x(x,0))). [resolve(706,a,422,b)]. 3.018/3.018 3.018/3.018 given #483 (F,wt=13): 714 -red(s(plus(c_N,c2)),plus(plus(c_N,s(c2)),x(x,0))). [resolve(706,a,408,b)]. 3.018/3.018 3.018/3.018 given #484 (F,wt=13): 715 -red(s(plus(c_N,c2)),plus(U11(tt,c1,c_N),x(x,0))). [resolve(706,a,275,b)]. 3.018/3.018 3.018/3.018 given #485 (F,wt=13): 716 -red(U12(tt,c2,c_N),plus(U11(tt,c1,c_N),x(x,0))). [resolve(706,a,221,b)]. 3.018/3.018 3.018/3.018 given #486 (T,wt=9): 784 reds(U21(c1,x,y),U21(c2,x,y)). [ur(21,a,127,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #487 (T,wt=9): 817 reds(U12(c1,x,y),U12(c2,x,y)). [ur(21,a,128,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #488 (T,wt=9): 827 reds(U11(c1,x,y),U11(c2,x,y)). [ur(21,a,129,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #489 (T,wt=9): 838 reds(x(c1,s(c1)),x(c2,s(c2))). [ur(21,a,162,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #490 (A,wt=11): 107 red(U21(x(x,0),y,z),U21(0,y,z)). [ur(24,a,37,a)]. 3.018/3.018 3.018/3.018 given #491 (F,wt=13): 717 -red(s(plus(c_N,c1)),plus(plus(c_N,s(c2)),x(x,0))). [resolve(706,a,185,b)]. 3.018/3.018 3.018/3.018 given #492 (F,wt=13): 718 -red(U11(tt,c2,c_N),plus(U11(tt,c1,c_N),x(x,0))). [resolve(706,a,181,b)]. 3.018/3.018 3.018/3.018 given #493 (F,wt=13): 719 -red(U12(tt,c1,c_N),plus(plus(c_N,s(c2)),x(x,0))). [resolve(706,a,151,b)]. 3.018/3.018 3.018/3.018 given #494 (F,wt=13): 720 -red(plus(c_N,s(c2)),plus(U11(tt,c1,c_N),x(x,0))). [resolve(706,a,148,b)]. 3.018/3.018 3.018/3.018 given #495 (T,wt=9): 839 reds(x(x,s(c1)),U21(tt,c2,x)). [ur(21,a,162,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #496 (T,wt=9): 840 reds(x(x,s(c1)),x(x,s(c2))). [ur(21,a,162,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #497 (T,wt=9): 865 reds(x(s(c1),c1),x(s(c2),c2)). [ur(21,a,163,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #498 (T,wt=9): 867 reds(x(s(c1),x),x(s(c2),x)). [ur(21,a,163,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #499 (A,wt=11): 108 red(U12(x(x,0),y,z),U12(0,y,z)). [ur(23,a,37,a)]. 3.018/3.018 3.018/3.018 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.09 sec). 3.018/3.018 3.018/3.018 given #500 (F,wt=13): 721 -red(U11(tt,c1,c_N),plus(plus(c_N,s(c2)),x(x,0))). [resolve(706,a,145,b)]. 3.018/3.018 3.018/3.018 given #501 (F,wt=13): 738 -red(U11(tt,c1,c_N),plus(U11(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,638,a)]. 3.018/3.018 3.018/3.018 given #502 (F,wt=13): 739 -red(U11(tt,c1,c_N),plus(U11(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,638,a)]. 3.018/3.018 3.018/3.018 given #503 (F,wt=13): 740 -red(U11(tt,c1,c_N),plus(plus(U11(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,638,a)]. 3.018/3.018 3.018/3.018 given #504 (T,wt=9): 877 reds(plus(c1,s(c1)),plus(c2,s(c2))). [ur(21,a,164,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #505 (T,wt=9): 878 reds(plus(x,s(c1)),U11(tt,c2,x)). [ur(21,a,164,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #506 (T,wt=9): 879 reds(plus(x,s(c1)),plus(x,s(c2))). [ur(21,a,164,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #507 (T,wt=9): 889 reds(plus(s(c1),s(0)),s(s(c2))). [ur(21,a,165,a,b,414,a)]. 3.018/3.018 3.018/3.018 given #508 (A,wt=11): 109 red(U11(x(x,0),y,z),U11(0,y,z)). [ur(22,a,37,a)]. 3.018/3.018 3.018/3.018 given #509 (F,wt=9): 2309 -red(s(plus(c_N,c1)),plus(c_N,s(c1))). [resolve(878,a,802,b)]. 3.018/3.018 3.018/3.018 given #510 (F,wt=9): 2310 -red(U12(tt,c1,c_N),plus(c_N,s(c1))). [resolve(878,a,795,b)]. 3.018/3.018 3.018/3.018 given #511 (F,wt=9): 2311 -red(U11(tt,c1,c_N),plus(c_N,s(c1))). [resolve(878,a,737,b)]. 3.018/3.018 3.018/3.018 given #512 (F,wt=13): 796 -red(U12(tt,c1,c_N),plus(U11(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,743,a)]. 3.018/3.018 3.018/3.018 given #513 (T,wt=9): 890 reds(plus(s(c1),c1),plus(s(c2),c2)). [ur(21,a,165,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #514 (T,wt=9): 892 reds(plus(s(c1),x),plus(s(c2),x)). [ur(21,a,165,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #515 (T,wt=9): 902 reds(s(s(plus(c1,0))),s(s(c2))). [ur(21,a,190,a,b,313,a)]. 3.018/3.018 3.018/3.018 given #516 (T,wt=9): 903 reds(s(s(plus(x,0))),s(s(x))). [ur(21,a,190,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #517 (A,wt=11): 111 red(s(x(x,s(y))),s(U21(tt,y,x))). [ur(30,a,38,a)]. 3.018/3.018 3.018/3.018 given #518 (F,wt=13): 797 -red(U12(tt,c1,c_N),plus(U11(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,743,a)]. 3.018/3.018 3.018/3.018 given #519 (F,wt=13): 798 -red(U12(tt,c1,c_N),plus(plus(U11(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,743,a)]. 3.018/3.018 3.018/3.018 given #520 (F,wt=13): 803 -red(s(plus(c_N,c1)),plus(U11(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,801,a)]. 3.018/3.018 3.018/3.018 given #521 (F,wt=13): 804 -red(s(plus(c_N,c1)),plus(U11(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,801,a)]. 3.018/3.018 3.018/3.018 given #522 (T,wt=8): 2370 reds(s(x(0,s(0))),s(0)). [ur(21,a,111,a,b,1252,a)]. 3.018/3.018 3.018/3.018 given #523 (T,wt=9): 930 reds(s(s(x(x,0))),s(s(0))). [ur(21,a,201,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #524 (T,wt=9): 940 reds(s(x(x,c1)),s(x(x,c2))). [ur(21,a,225,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #525 (T,wt=9): 950 reds(s(x(c1,x)),s(x(c2,x))). [ur(21,a,235,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #526 (A,wt=13): 112 red(x(x,x(y,s(z))),x(x,U21(tt,z,y))). [ur(29,a,38,a)]. 3.018/3.018 3.018/3.018 given #527 (F,wt=13): 805 -red(s(plus(c_N,c1)),plus(plus(U11(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,801,a)]. 3.018/3.018 3.018/3.018 given #528 (F,wt=13): 974 -red(s(plus(c_N,c2)),plus(U11(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,961,a)]. 3.018/3.018 3.018/3.018 given #529 (F,wt=13): 975 -red(s(plus(c_N,c2)),plus(U11(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,961,a)]. 3.018/3.018 3.018/3.018 given #530 (F,wt=13): 976 -red(s(plus(c_N,c2)),plus(plus(U11(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,961,a)]. 3.018/3.018 3.018/3.018 given #531 (T,wt=8): 2391 reds(x(x,x(0,s(0))),0). [ur(21,a,112,a,b,1815,a)]. 3.018/3.018 3.018/3.018 given #532 (T,wt=9): 960 reds(s(plus(x,c1)),s(plus(x,c2))). [ur(21,a,245,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #533 (T,wt=9): 989 reds(s(plus(c1,x)),s(plus(c2,x))). [ur(21,a,255,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #534 (T,wt=9): 1021 reds(s(s(s(c1))),s(s(s(c2)))). [ur(21,a,304,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #535 (A,wt=13): 113 red(x(x(x,s(y)),z),x(U21(tt,y,x),z)). [ur(28,a,38,a)]. 3.018/3.018 3.018/3.018 given #536 (F,wt=13): 1234 -red(U11(tt,c1,c_N),plus(U12(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,1198,a)]. 3.018/3.018 3.018/3.018 given #537 (F,wt=13): 1235 -red(U11(tt,c1,c_N),plus(U12(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,1198,a)]. 3.018/3.018 3.018/3.018 given #538 (F,wt=13): 1237 -red(U11(tt,c1,c_N),plus(plus(U12(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1198,a)]. 3.018/3.018 3.018/3.018 given #539 (F,wt=13): 1242 -red(U12(tt,c1,c_N),plus(U12(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,1240,a)]. 3.018/3.018 3.018/3.018 given #540 (T,wt=9): 1051 reds(U12(tt,0,plus(c1,0)),s(c2)). [ur(21,a,32,a,b,333,a)]. 3.018/3.018 3.018/3.018 given #541 (T,wt=9): 1073 reds(U12(tt,0,plus(x,0)),s(x)). [ur(21,a,32,a,b,336,a)]. 3.018/3.018 3.018/3.018 given #542 (T,wt=9): 1079 reds(U12(tt,0,x(x,0)),s(0)). [ur(21,a,32,a,b,339,a)]. 3.018/3.018 3.018/3.018 given #543 (T,wt=9): 1138 reds(U12(tt,0,s(c1)),s(s(c2))). [ur(21,a,32,a,b,370,a)]. 3.018/3.018 3.018/3.018 given #544 (A,wt=13): 114 red(plus(x,x(y,s(z))),plus(x,U21(tt,z,y))). [ur(27,a,38,a)]. 3.018/3.018 3.018/3.018 given #545 (F,wt=13): 1243 -red(U12(tt,c1,c_N),plus(U12(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,1240,a)]. 3.018/3.018 3.018/3.018 given #546 (F,wt=13): 1245 -red(U12(tt,c1,c_N),plus(plus(U12(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1240,a)]. 3.018/3.018 3.018/3.018 given #547 (F,wt=13): 1270 -red(s(plus(c_N,c1)),plus(U12(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,1248,a)]. 3.018/3.018 3.018/3.018 given #548 (F,wt=13): 1271 -red(s(plus(c_N,c1)),plus(U12(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,1248,a)]. 3.018/3.018 3.018/3.018 given #549 (T,wt=8): 2455 reds(plus(x,x(0,s(0))),x). [ur(21,a,114,a,b,2078,a)]. 3.018/3.018 3.018/3.018 given #550 (T,wt=8): 2456 reds(plus(c1,x(0,s(0))),c2). [ur(21,a,114,a,b,1982,a)]. 3.018/3.018 3.018/3.018 given #551 (T,wt=9): 1200 reds(plus(x,s(c1)),U12(tt,c2,x)). [ur(21,a,164,a,b,421,a)]. 3.018/3.018 3.018/3.018 given #552 (T,wt=9): 1201 reds(plus(c1,s(x)),U12(tt,x,c2)). [ur(21,a,125,a,b,421,a)]. 3.018/3.018 3.018/3.018 given #553 (A,wt=13): 115 red(plus(x(x,s(y)),z),plus(U21(tt,y,x),z)). [ur(26,a,38,a)]. 3.018/3.018 3.018/3.018 given #554 (F,wt=13): 1273 -red(s(plus(c_N,c1)),plus(plus(U12(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1248,a)]. 3.018/3.018 3.018/3.018 given #555 (F,wt=13): 1278 -red(s(plus(c_N,c2)),plus(U12(tt,c2,c_N),x(x,0))). [ur(21,b,706,a,c,1276,a)]. 3.018/3.018 3.018/3.018 given #556 (F,wt=13): 1279 -red(s(plus(c_N,c2)),plus(U12(tt,c2,c_N),plus(0,0))). [ur(21,b,577,a,c,1276,a)]. 3.018/3.018 3.018/3.018 given #557 (F,wt=13): 1281 -red(s(plus(c_N,c2)),plus(plus(U12(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1276,a)]. 3.018/3.018 3.018/3.018 given #558 (T,wt=9): 1289 reds(plus(x,s(y)),s(plus(x,y))). [ur(21,a,36,a,b,478,a)]. 3.018/3.018 3.018/3.018 given #559 (T,wt=9): 1292 reds(x(x,s(c1)),U22(tt,c2,x)). [ur(21,a,162,a,b,479,a)]. 3.018/3.018 3.018/3.018 given #560 (T,wt=9): 1293 reds(x(c1,s(x)),U22(tt,x,c2)). [ur(21,a,123,a,b,479,a)]. 3.018/3.018 3.018/3.018 given #561 (T,wt=9): 1696 reds(U22(plus(tt,0),s(0),0),0). [ur(21,a,86,a,b,437,a)]. 3.018/3.018 3.018/3.018 given #562 (A,wt=15): 116 red(U22(x(x,s(y)),z,u),U22(U21(tt,y,x),z,u)). [ur(25,a,38,a)]. 3.018/3.018 3.018/3.018 given #563 (F,wt=9): 2545 -reds(U11(tt,c1,c_N),s(plus(c_N,c2))). [resolve(1289,a,40,a)]. 3.018/3.018 3.018/3.018 ============================== PROOF ================================= 3.018/3.018 3.018/3.018 % Proof 1 at 0.10 (+ 0.01) seconds. 3.018/3.018 % Length of proof is 25. 3.018/3.018 % Level of proof is 6. 3.018/3.018 % Maximum clause weight is 12.000. 3.018/3.018 % Given clauses 563. 3.018/3.018 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 7 red(x,y) -> red(plus(z1,x),plus(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 10 red(x,y) -> red(s(x),s(y)) # label(non_clause). [assumption]. 3.018/3.018 11 (all M all N red(U11(tt,M,N),U12(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 12 (all M all N red(U12(tt,M,N),s(plus(N,M)))) # label(non_clause). [assumption]. 3.018/3.018 16 (all M all N red(plus(N,s(M)),U11(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all M all y exists z (red(M,y) -> reds(plus(c_N,s(y)),z) & reds(U11(tt,M,c_N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(plus(c_N,s(c2)),x) | -reds(U11(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 60 reds(U12(tt,x,y),s(plus(y,x))). [ur(21,a,32,a,b,20,a)]. 3.018/3.018 124 red(plus(x,c1),plus(x,c2)). [ur(27,a,39,a)]. 3.018/3.018 245 red(s(plus(x,c1)),s(plus(x,c2))). [ur(30,a,124,a)]. 3.018/3.018 478 reds(U11(tt,x,y),s(plus(y,x))). [ur(21,a,31,a,b,60,a)]. 3.018/3.018 960 reds(s(plus(x,c1)),s(plus(x,c2))). [ur(21,a,245,a,b,20,a)]. 3.018/3.018 1289 reds(plus(x,s(y)),s(plus(x,y))). [ur(21,a,36,a,b,478,a)]. 3.018/3.018 2404 reds(U12(tt,c1,x),s(plus(x,c2))). [ur(21,a,32,a,b,960,a)]. 3.018/3.018 2545 -reds(U11(tt,c1,c_N),s(plus(c_N,c2))). [resolve(1289,a,40,a)]. 3.018/3.018 2618 $F. [ur(21,a,31,a,c,2545,a),unit_del(a,2404)]. 3.018/3.018 3.018/3.018 ============================== end of proof ========================== 3.018/3.018 3.018/3.018 ============================== STATISTICS ============================ 3.018/3.018 3.018/3.018 Given=563. Generated=3895. Kept=2598. proofs=1. 3.018/3.018 Usable=563. Sos=2006. Demods=0. Limbo=29, Disabled=21. Hints=0. 3.018/3.018 Kept_by_rule=0, Deleted_by_rule=0. 3.018/3.018 Forward_subsumed=1296. Back_subsumed=0. 3.018/3.018 Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. 3.018/3.018 New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. 3.018/3.018 Demod_attempts=0. Demod_rewrites=0. 3.018/3.018 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. 3.018/3.018 Nonunit_fsub_feature_tests=456. Nonunit_bsub_feature_tests=790. 3.018/3.018 Megabytes=4.76. 3.018/3.018 User_CPU=0.10, System_CPU=0.01, Wall_clock=0. 3.018/3.018 3.018/3.018 ============================== end of statistics ===================== 3.018/3.018 3.018/3.018 ============================== end of search ========================= 3.018/3.018 3.018/3.018 THEOREM PROVED 3.018/3.018 3.018/3.018 Exiting with 1 proof. 3.018/3.018 3.018/3.018 Process 43366 exit (max_proofs) Tue Nov 16 11:31:43 2021 3.018/3.018 3.018/3.018 3.018/3.018 The problem is joinable. 3.018/3.018 3.018/3.018 Problem 1.1.3: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N3 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Huet Brute Force Joinability Processor: 3.018/3.018 That is a LHCP. Trying another procedure. 3.018/3.018 3.018/3.018 Problem 1.1.3: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | N:S \-> y:S => Not trivial, Not overlay, NW0, N3 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Prover9 LHCP Convergence Checker Processor: 3.018/3.018 formulas(sos). 3.018/3.018 %Reflexivity 3.018/3.018 reds(x,x). 3.018/3.018 3.018/3.018 %Transitivity 3.018/3.018 (red(x,y) & reds(y,z)) -> reds(x,z). 3.018/3.018 3.018/3.018 %Congruence 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 3.018/3.018 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 %Replacement 3.018/3.018 all M all N ( red(U11(tt,M,N),U12(tt,M,N)) ). 3.018/3.018 all M all N ( red(U12(tt,M,N),s(plus(N,M))) ). 3.018/3.018 all M all N ( red(U21(tt,M,N),U22(tt,M,N)) ). 3.018/3.018 all M all N ( red(U22(tt,M,N),plus(x(N,M),N)) ). 3.018/3.018 all N ( red(plus(N,0),N) ). 3.018/3.018 all M all N ( red(plus(N,s(M)),U11(tt,M,N)) ). 3.018/3.018 all N ( red(x(N,0),0) ). 3.018/3.018 all M all N ( red(x(N,s(M)),U21(tt,M,N)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 all N all y exists z ( red(N,y) -> (reds(plus(y,s(c_M)),z) & reds(U11(tt,c_M,N),z)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 Proof: 3.018/3.018 ============================== Prover9 =============================== 3.018/3.018 Prover9 (64) version 2009-11A, November 2009. 3.018/3.018 Process 43397 was started by ubuntu on ubuntu, 3.018/3.018 Tue Nov 16 11:31:43 2021 3.018/3.018 The command was "./prover9 -t 30 -f /tmp/prover943235-18.in". 3.018/3.018 ============================== end of head =========================== 3.018/3.018 3.018/3.018 ============================== INPUT ================================= 3.018/3.018 3.018/3.018 % Reading from file /tmp/prover943235-18.in 3.018/3.018 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). 3.018/3.018 red(x,y) & reds(y,z) -> reds(x,z). 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 (all M all N red(U11(tt,M,N),U12(tt,M,N))). 3.018/3.018 (all M all N red(U12(tt,M,N),s(plus(N,M)))). 3.018/3.018 (all M all N red(U21(tt,M,N),U22(tt,M,N))). 3.018/3.018 (all M all N red(U22(tt,M,N),plus(x(N,M),N))). 3.018/3.018 (all N red(plus(N,0),N)). 3.018/3.018 (all M all N red(plus(N,s(M)),U11(tt,M,N))). 3.018/3.018 (all N red(x(N,0),0)). 3.018/3.018 (all M all N red(x(N,s(M)),U21(tt,M,N))). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 (all N all y exists z (red(N,y) -> reds(plus(y,s(c_M)),z) & reds(U11(tt,c_M,N),z))). 3.018/3.018 end_of_list. 3.018/3.018 assign(max_megs,-1). 3.018/3.018 set(quiet). 3.018/3.018 3.018/3.018 ============================== end of input ========================== 3.018/3.018 3.018/3.018 % From the command line: assign(max_seconds, 30). 3.018/3.018 3.018/3.018 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 3.018/3.018 3.018/3.018 % Formulas that are not ordinary clauses: 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 2 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 3 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 4 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 5 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 6 red(x,y) -> red(plus(x,z2),plus(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 7 red(x,y) -> red(plus(z1,x),plus(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 8 red(x,y) -> red(x(x,z2),x(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 9 red(x,y) -> red(x(z1,x),x(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 10 red(x,y) -> red(s(x),s(y)) # label(non_clause). [assumption]. 3.018/3.018 11 (all M all N red(U11(tt,M,N),U12(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 12 (all M all N red(U12(tt,M,N),s(plus(N,M)))) # label(non_clause). [assumption]. 3.018/3.018 13 (all M all N red(U21(tt,M,N),U22(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 14 (all M all N red(U22(tt,M,N),plus(x(N,M),N))) # label(non_clause). [assumption]. 3.018/3.018 15 (all N red(plus(N,0),N)) # label(non_clause). [assumption]. 3.018/3.018 16 (all M all N red(plus(N,s(M)),U11(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 17 (all N red(x(N,0),0)) # label(non_clause). [assumption]. 3.018/3.018 18 (all M all N red(x(N,s(M)),U21(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all N all y exists z (red(N,y) -> reds(plus(y,s(c_M)),z) & reds(U11(tt,c_M,N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 3.018/3.018 ============================== end of process non-clausal formulas === 3.018/3.018 3.018/3.018 ============================== PROCESS INITIAL CLAUSES =============== 3.018/3.018 3.018/3.018 % Clauses before input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). [assumption]. 3.018/3.018 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 red(x(x,0),0). [clausify(17)]. 3.018/3.018 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 red(c1,c2). [deny(19)]. 3.018/3.018 -reds(plus(c2,s(c_M)),x) | -reds(U11(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== PREDICATE ELIMINATION ================= 3.018/3.018 3.018/3.018 ============================== end predicate elimination ============= 3.018/3.018 3.018/3.018 Auto_denials: (no changes). 3.018/3.018 3.018/3.018 Term ordering decisions: 3.018/3.018 3.018/3.018 kept: 20 reds(x,x). [assumption]. 3.018/3.018 kept: 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 kept: 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 kept: 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 kept: 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 kept: 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 kept: 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 kept: 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 kept: 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 kept: 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 kept: 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 kept: 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 kept: 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 kept: 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 kept: 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 kept: 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 kept: 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 kept: 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 kept: 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 kept: 39 red(c1,c2). [deny(19)]. 3.018/3.018 kept: 40 -reds(plus(c2,s(c_M)),x) | -reds(U11(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 3.018/3.018 ============================== end of process initial clauses ======== 3.018/3.018 3.018/3.018 ============================== CLAUSES FOR SEARCH ==================== 3.018/3.018 3.018/3.018 % Clauses after input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(plus(c2,s(c_M)),x) | -reds(U11(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== end of clauses for search ============= 3.018/3.018 3.018/3.018 ============================== SEARCH ================================ 3.018/3.018 3.018/3.018 % Starting search at 0.01 seconds. 3.018/3.018 3.018/3.018 given #1 (I,wt=3): 20 reds(x,x). [assumption]. 3.018/3.018 3.018/3.018 given #2 (I,wt=9): 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 3.018/3.018 given #3 (I,wt=12): 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 3.018/3.018 given #4 (I,wt=12): 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 3.018/3.018 given #5 (I,wt=12): 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 3.018/3.018 given #6 (I,wt=12): 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 3.018/3.018 given #7 (I,wt=10): 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 3.018/3.018 given #8 (I,wt=10): 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 3.018/3.018 given #9 (I,wt=10): 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 3.018/3.018 given #10 (I,wt=10): 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 3.018/3.018 given #11 (I,wt=8): 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 3.018/3.018 given #12 (I,wt=9): 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 3.018/3.018 given #13 (I,wt=9): 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 3.018/3.018 given #14 (I,wt=9): 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 3.018/3.018 given #15 (I,wt=10): 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 3.018/3.018 given #16 (I,wt=5): 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 3.018/3.018 given #17 (I,wt=9): 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 3.018/3.018 given #18 (I,wt=5): 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 3.018/3.018 given #19 (I,wt=9): 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 3.018/3.018 given #20 (I,wt=3): 39 red(c1,c2). [deny(19)]. 3.018/3.018 3.018/3.018 given #21 (I,wt=12): 40 -reds(plus(c2,s(c_M)),x) | -reds(U11(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 3.018/3.018 given #22 (A,wt=11): 41 red(s(U11(tt,x,y)),s(U12(tt,x,y))). [ur(30,a,31,a)]. 3.018/3.018 3.018/3.018 given #23 (F,wt=9): 132 -reds(U11(tt,c_M,c1),plus(c2,s(c_M))). [resolve(40,a,20,a)]. 3.018/3.018 3.018/3.018 given #24 (F,wt=9): 134 -reds(plus(c2,s(c_M)),U11(tt,c_M,c1)). [resolve(40,b,20,a)]. 3.018/3.018 3.018/3.018 given #25 (F,wt=9): 146 -red(U11(tt,c_M,c1),plus(c2,s(c_M))). [ur(21,b,20,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #26 (F,wt=9): 147 -reds(U12(tt,c_M,c1),plus(c2,s(c_M))). [ur(21,a,31,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #27 (T,wt=3): 130 reds(c1,c2). [ur(21,a,39,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #28 (T,wt=5): 90 reds(plus(x,0),x). [ur(21,a,35,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #29 (T,wt=5): 110 reds(x(x,0),0). [ur(21,a,37,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #30 (T,wt=5): 121 red(s(c1),s(c2)). [ur(30,a,39,a)]. 3.018/3.018 3.018/3.018 given #31 (A,wt=13): 42 red(x(x,U11(tt,y,z)),x(x,U12(tt,y,z))). [ur(29,a,31,a)]. 3.018/3.018 3.018/3.018 given #32 (F,wt=9): 149 -red(plus(c2,s(c_M)),U11(tt,c_M,c1)). [ur(21,b,20,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #33 (F,wt=9): 150 -reds(U11(tt,c_M,c2),U11(tt,c_M,c1)). [ur(21,a,36,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #34 (F,wt=9): 152 -red(U12(tt,c_M,c1),plus(c2,s(c_M))). [ur(21,b,20,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #35 (F,wt=9): 153 -reds(s(plus(c1,c_M)),plus(c2,s(c_M))). [ur(21,a,32,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #36 (T,wt=5): 154 reds(plus(c1,0),c2). [ur(21,a,35,a,b,130,a)]. 3.018/3.018 3.018/3.018 given #37 (T,wt=5): 170 reds(s(c1),s(c2)). [ur(21,a,121,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #38 (T,wt=7): 81 red(s(plus(x,0)),s(x)). [ur(30,a,35,a)]. 3.018/3.018 3.018/3.018 given #39 (T,wt=7): 101 red(s(x(x,0)),s(0)). [ur(30,a,37,a)]. 3.018/3.018 3.018/3.018 given #40 (A,wt=13): 43 red(x(U11(tt,x,y),z),x(U12(tt,x,y),z)). [ur(28,a,31,a)]. 3.018/3.018 3.018/3.018 given #41 (F,wt=9): 183 -red(U11(tt,c_M,c2),U11(tt,c_M,c1)). [ur(21,b,20,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #42 (F,wt=9): 184 -reds(U12(tt,c_M,c2),U11(tt,c_M,c1)). [ur(21,a,31,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #43 (F,wt=9): 187 -red(s(plus(c1,c_M)),plus(c2,s(c_M))). [ur(21,b,20,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #44 (F,wt=9): 223 -red(U12(tt,c_M,c2),U11(tt,c_M,c1)). [ur(21,b,20,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #45 (T,wt=7): 122 red(x(x,c1),x(x,c2)). [ur(29,a,39,a)]. 3.018/3.018 3.018/3.018 given #46 (T,wt=7): 123 red(x(c1,x),x(c2,x)). [ur(28,a,39,a)]. 3.018/3.018 3.018/3.018 given #47 (T,wt=7): 124 red(plus(x,c1),plus(x,c2)). [ur(27,a,39,a)]. 3.018/3.018 3.018/3.018 given #48 (T,wt=7): 125 red(plus(c1,x),plus(c2,x)). [ur(26,a,39,a)]. 3.018/3.018 3.018/3.018 given #49 (A,wt=13): 44 red(plus(x,U11(tt,y,z)),plus(x,U12(tt,y,z))). [ur(27,a,31,a)]. 3.018/3.018 3.018/3.018 given #50 (F,wt=9): 224 -reds(s(plus(c2,c_M)),U11(tt,c_M,c1)). [ur(21,a,32,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #51 (F,wt=9): 277 -red(s(plus(c2,c_M)),U11(tt,c_M,c1)). [ur(21,b,20,a,c,224,a)]. 3.018/3.018 3.018/3.018 given #52 (F,wt=11): 157 -red(U12(tt,c_M,c1),plus(plus(c2,s(c_M)),0)). [ur(21,b,90,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #53 (F,wt=11): 158 -red(plus(c2,s(c_M)),plus(U11(tt,c_M,c1),0)). [ur(21,b,90,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #54 (T,wt=7): 155 reds(plus(plus(x,0),0),x). [ur(21,a,35,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #55 (T,wt=7): 160 reds(plus(x(x,0),0),0). [ur(21,a,35,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #56 (T,wt=6): 287 reds(U22(tt,0,0),0). [ur(21,a,34,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #57 (T,wt=6): 289 reds(U21(tt,0,0),0). [ur(21,a,33,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #58 (A,wt=13): 45 red(plus(U11(tt,x,y),z),plus(U12(tt,x,y),z)). [ur(26,a,31,a)]. 3.018/3.018 3.018/3.018 given #59 (F,wt=11): 159 -red(U11(tt,c_M,c1),plus(plus(c2,s(c_M)),0)). [ur(21,b,90,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #60 (F,wt=11): 182 -red(U11(tt,c_M,c2),plus(U11(tt,c_M,c1),0)). [ur(21,b,90,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #61 (F,wt=11): 186 -red(s(plus(c1,c_M)),plus(plus(c2,s(c_M)),0)). [ur(21,b,90,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #62 (F,wt=11): 222 -red(U12(tt,c_M,c2),plus(U11(tt,c_M,c1),0)). [ur(21,b,90,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #63 (T,wt=6): 290 reds(x(0,s(0)),0). [ur(21,a,38,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #64 (T,wt=7): 161 red(s(s(c1)),s(s(c2))). [ur(30,a,121,a)]. 3.018/3.018 3.018/3.018 given #65 (T,wt=7): 188 reds(plus(plus(c1,0),0),c2). [ur(21,a,35,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #66 (T,wt=7): 189 reds(plus(s(c1),0),s(c2)). [ur(21,a,35,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #67 (A,wt=15): 46 red(U22(U11(tt,x,y),z,u),U22(U12(tt,x,y),z,u)). [ur(25,a,31,a)]. 3.018/3.018 3.018/3.018 given #68 (F,wt=11): 276 -red(s(plus(c2,c_M)),plus(U11(tt,c_M,c1),0)). [ur(21,b,90,a,c,224,a)]. 3.018/3.018 3.018/3.018 given #69 (F,wt=12): 145 -red(U11(tt,c_M,c1),x) | -reds(x,plus(c2,s(c_M))). [resolve(132,a,21,c)]. 3.018/3.018 3.018/3.018 given #70 (F,wt=12): 148 -red(plus(c2,s(c_M)),x) | -reds(x,U11(tt,c_M,c1)). [resolve(134,a,21,c)]. 3.018/3.018 3.018/3.018 given #71 (F,wt=12): 151 -red(U12(tt,c_M,c1),x) | -reds(x,plus(c2,s(c_M))). [resolve(147,a,21,c)]. 3.018/3.018 3.018/3.018 given #72 (T,wt=7): 199 reds(s(plus(c1,0)),s(c2)). [ur(21,a,81,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #73 (T,wt=7): 200 reds(s(plus(x,0)),s(x)). [ur(21,a,81,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #74 (T,wt=7): 210 reds(s(x(x,0)),s(0)). [ur(21,a,101,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #75 (T,wt=7): 234 reds(x(x,c1),x(x,c2)). [ur(21,a,122,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #76 (A,wt=15): 47 red(U21(U11(tt,x,y),z,u),U21(U12(tt,x,y),z,u)). [ur(24,a,31,a)]. 3.018/3.018 3.018/3.018 given #77 (F,wt=12): 181 -red(U11(tt,c_M,c2),x) | -reds(x,U11(tt,c_M,c1)). [resolve(150,a,21,c)]. 3.018/3.018 3.018/3.018 given #78 (F,wt=12): 185 -red(s(plus(c1,c_M)),x) | -reds(x,plus(c2,s(c_M))). [resolve(153,a,21,c)]. 3.018/3.018 3.018/3.018 given #79 (F,wt=12): 221 -red(U12(tt,c_M,c2),x) | -reds(x,U11(tt,c_M,c1)). [resolve(184,a,21,c)]. 3.018/3.018 3.018/3.018 given #80 (F,wt=12): 275 -red(s(plus(c2,c_M)),x) | -reds(x,U11(tt,c_M,c1)). [resolve(224,a,21,c)]. 3.018/3.018 3.018/3.018 given #81 (T,wt=7): 244 reds(x(c1,x),x(c2,x)). [ur(21,a,123,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #82 (T,wt=7): 254 reds(plus(x,c1),plus(x,c2)). [ur(21,a,124,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #83 (T,wt=7): 264 reds(plus(c1,x),plus(c2,x)). [ur(21,a,125,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #84 (T,wt=7): 313 reds(s(s(c1)),s(s(c2))). [ur(21,a,161,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #85 (A,wt=15): 48 red(U12(U11(tt,x,y),z,u),U12(U12(tt,x,y),z,u)). [ur(23,a,31,a)]. 3.018/3.018 3.018/3.018 given #86 (F,wt=9): 368 -red(s(plus(c1,c_M)),plus(c1,s(c_M))). [resolve(264,a,185,b)]. 3.018/3.018 3.018/3.018 given #87 (F,wt=9): 369 -red(U12(tt,c_M,c1),plus(c1,s(c_M))). [resolve(264,a,151,b)]. 3.018/3.018 3.018/3.018 given #88 (F,wt=9): 370 -red(U11(tt,c_M,c1),plus(c1,s(c_M))). [resolve(264,a,145,b)]. 3.018/3.018 3.018/3.018 given #89 (F,wt=12): 326 -reds(U11(x,c_M,c1),plus(c2,s(c_M))) | -red(tt,x). [resolve(145,a,22,b)]. 3.018/3.018 3.018/3.018 given #90 (T,wt=7): 335 reds(U12(tt,0,c1),s(c2)). [ur(21,a,32,a,b,199,a)]. 3.018/3.018 3.018/3.018 given #91 (T,wt=7): 338 reds(U12(tt,0,x),s(x)). [ur(21,a,32,a,b,200,a)]. 3.018/3.018 3.018/3.018 given #92 (T,wt=7): 341 reds(x(c1,c1),x(c2,c2)). [ur(21,a,123,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #93 (T,wt=7): 364 reds(plus(c1,c1),plus(c2,c2)). [ur(21,a,125,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #94 (A,wt=15): 49 red(U11(U11(tt,x,y),z,u),U11(U12(tt,x,y),z,u)). [ur(22,a,31,a)]. 3.018/3.018 3.018/3.018 given #95 (F,wt=12): 328 -reds(plus(c2,x),U11(tt,c_M,c1)) | -red(s(c_M),x). [resolve(148,a,27,b)]. 3.018/3.018 3.018/3.018 given #96 (F,wt=12): 329 -reds(plus(x,s(c_M)),U11(tt,c_M,c1)) | -red(c2,x). [resolve(148,a,26,b)]. 3.018/3.018 3.018/3.018 given #97 (F,wt=12): 331 -reds(U12(x,c_M,c1),plus(c2,s(c_M))) | -red(tt,x). [resolve(151,a,23,b)]. 3.018/3.018 3.018/3.018 given #98 (F,wt=12): 354 -reds(U11(x,c_M,c2),U11(tt,c_M,c1)) | -red(tt,x). [resolve(181,a,22,b)]. 3.018/3.018 3.018/3.018 given #99 (T,wt=7): 387 reds(U11(tt,0,c1),s(c2)). [ur(21,a,31,a,b,335,a)]. 3.018/3.018 3.018/3.018 given #100 (T,wt=7): 389 reds(U11(tt,0,x),s(x)). [ur(21,a,31,a,b,338,a)]. 3.018/3.018 3.018/3.018 given #101 (T,wt=7): 407 reds(plus(c1,s(0)),s(c2)). [ur(21,a,36,a,b,387,a)]. 3.018/3.018 3.018/3.018 given #102 (T,wt=7): 409 reds(plus(x,s(0)),s(x)). [ur(21,a,36,a,b,389,a)]. 3.018/3.018 3.018/3.018 given #103 (A,wt=9): 50 reds(U11(tt,x,y),U12(tt,x,y)). [ur(21,a,31,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #104 (F,wt=9): 415 -reds(plus(c2,s(c_M)),U12(tt,c_M,c1)). [resolve(50,a,40,b)]. 3.018/3.018 3.018/3.018 given #105 (F,wt=9): 420 -red(plus(c2,s(c_M)),U12(tt,c_M,c1)). [ur(21,b,20,a,c,415,a)]. 3.018/3.018 3.018/3.018 given #106 (F,wt=9): 421 -reds(U11(tt,c_M,c2),U12(tt,c_M,c1)). [ur(21,a,36,a,c,415,a)]. 3.018/3.018 3.018/3.018 given #107 (F,wt=9): 425 -red(U11(tt,c_M,c2),U12(tt,c_M,c1)). [ur(21,b,20,a,c,421,a)]. 3.018/3.018 3.018/3.018 given #108 (T,wt=8): 156 reds(U22(tt,x,0),x(0,x)). [ur(21,a,34,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #109 (T,wt=8): 288 reds(plus(U22(tt,0,0),0),0). [ur(21,a,35,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #110 (T,wt=8): 291 reds(plus(U21(tt,0,0),0),0). [ur(21,a,35,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #111 (T,wt=8): 303 reds(plus(x(0,s(0)),0),0). [ur(21,a,35,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #112 (A,wt=11): 51 red(s(U12(tt,x,y)),s(s(plus(y,x)))). [ur(30,a,32,a)]. 3.018/3.018 3.018/3.018 given #113 (F,wt=9): 426 -reds(U12(tt,c_M,c2),U12(tt,c_M,c1)). [ur(21,a,31,a,c,421,a)]. 3.018/3.018 3.018/3.018 given #114 (F,wt=9): 446 -red(U12(tt,c_M,c2),U12(tt,c_M,c1)). [ur(21,b,20,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #115 (F,wt=9): 447 -reds(s(plus(c2,c_M)),U12(tt,c_M,c1)). [ur(21,a,32,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #116 (F,wt=9): 451 -red(s(plus(c2,c_M)),U12(tt,c_M,c1)). [ur(21,b,20,a,c,447,a)]. 3.018/3.018 3.018/3.018 given #117 (T,wt=7): 432 reds(U22(tt,s(0),0),0). [ur(21,a,34,a,b,303,a)]. 3.018/3.018 3.018/3.018 given #118 (T,wt=7): 453 reds(U21(tt,s(0),0),0). [ur(21,a,33,a,b,432,a)]. 3.018/3.018 3.018/3.018 given #119 (T,wt=7): 454 reds(x(0,s(s(0))),0). [ur(21,a,38,a,b,453,a)]. 3.018/3.018 3.018/3.018 given #120 (T,wt=8): 428 reds(U21(tt,x,0),x(0,x)). [ur(21,a,33,a,b,156,a)]. 3.018/3.018 3.018/3.018 given #121 (A,wt=13): 52 red(x(x,U12(tt,y,z)),x(x,s(plus(z,y)))). [ur(29,a,32,a)]. 3.018/3.018 3.018/3.018 given #122 (F,wt=11): 419 -red(plus(c2,s(c_M)),plus(U12(tt,c_M,c1),0)). [ur(21,b,90,a,c,415,a)]. 3.018/3.018 3.018/3.018 given #123 (F,wt=11): 424 -red(U11(tt,c_M,c2),plus(U12(tt,c_M,c1),0)). [ur(21,b,90,a,c,421,a)]. 3.018/3.018 3.018/3.018 given #124 (F,wt=11): 445 -red(U12(tt,c_M,c2),plus(U12(tt,c_M,c1),0)). [ur(21,b,90,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #125 (F,wt=11): 450 -red(s(plus(c2,c_M)),plus(U12(tt,c_M,c1),0)). [ur(21,b,90,a,c,447,a)]. 3.018/3.018 3.018/3.018 given #126 (T,wt=8): 457 reds(x(0,s(x)),x(0,x)). [ur(21,a,38,a,b,428,a)]. 3.018/3.018 3.018/3.018 given #127 (T,wt=9): 60 reds(U12(tt,x,y),s(plus(y,x))). [ur(21,a,32,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #128 (T,wt=9): 70 reds(U21(tt,x,y),U22(tt,x,y)). [ur(21,a,33,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #129 (T,wt=9): 82 red(x(x,plus(y,0)),x(x,y)). [ur(29,a,35,a)]. 3.018/3.018 3.018/3.018 given #130 (A,wt=13): 53 red(x(U12(tt,x,y),z),x(s(plus(y,x)),z)). [ur(28,a,32,a)]. 3.018/3.018 3.018/3.018 given #131 (F,wt=12): 356 -reds(s(x),plus(c2,s(c_M))) | -red(plus(c1,c_M),x). [resolve(185,a,30,b)]. 3.018/3.018 3.018/3.018 given #132 (F,wt=9): 505 -reds(s(plus(c2,c_M)),plus(c2,s(c_M))). [resolve(356,b,125,a)]. 3.018/3.018 3.018/3.018 given #133 (F,wt=9): 509 -red(s(plus(c2,c_M)),plus(c1,s(c_M))). [ur(21,b,264,a,c,505,a)]. 3.018/3.018 3.018/3.018 given #134 (F,wt=9): 512 -red(s(plus(c2,c_M)),plus(c2,s(c_M))). [ur(21,b,20,a,c,505,a)]. 3.018/3.018 3.018/3.018 given #135 (T,wt=7): 491 reds(x(x,plus(0,0)),0). [ur(21,a,82,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #136 (T,wt=8): 488 reds(x(0,plus(s(0),0)),0). [ur(21,a,82,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #137 (T,wt=9): 83 red(x(plus(x,0),y),x(x,y)). [ur(28,a,35,a)]. 3.018/3.018 3.018/3.018 given #138 (T,wt=8): 530 reds(x(plus(0,0),s(0)),0). [ur(21,a,83,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #139 (A,wt=13): 54 red(plus(x,U12(tt,y,z)),plus(x,s(plus(z,y)))). [ur(27,a,32,a)]. 3.018/3.018 3.018/3.018 given #140 (F,wt=11): 511 -red(s(plus(c2,c_M)),plus(plus(c2,s(c_M)),0)). [ur(21,b,90,a,c,505,a)]. 3.018/3.018 3.018/3.018 given #141 (F,wt=12): 358 -reds(U12(x,c_M,c2),U11(tt,c_M,c1)) | -red(tt,x). [resolve(221,a,23,b)]. 3.018/3.018 3.018/3.018 given #142 (F,wt=12): 360 -reds(s(x),U11(tt,c_M,c1)) | -red(plus(c2,c_M),x). [resolve(275,a,30,b)]. 3.018/3.018 3.018/3.018 given #143 (F,wt=12): 403 -reds(plus(c2,s(x)),U11(tt,c_M,c1)) | -red(c_M,x). [resolve(328,b,30,b)]. 3.018/3.018 3.018/3.018 given #144 (T,wt=9): 84 red(plus(x,plus(y,0)),plus(x,y)). [ur(27,a,35,a)]. 3.018/3.018 3.018/3.018 given #145 (T,wt=7): 573 reds(plus(c1,plus(0,0)),c2). [ur(21,a,84,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #146 (T,wt=7): 574 reds(plus(x,plus(0,0)),x). [ur(21,a,84,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #147 (T,wt=9): 85 red(plus(plus(x,0),y),plus(x,y)). [ur(26,a,35,a)]. 3.018/3.018 3.018/3.018 given #148 (A,wt=13): 55 red(plus(U12(tt,x,y),z),plus(s(plus(y,x)),z)). [ur(26,a,32,a)]. 3.018/3.018 3.018/3.018 given #149 (F,wt=12): 417 -red(plus(c2,s(c_M)),x) | -reds(x,U12(tt,c_M,c1)). [resolve(415,a,21,c)]. 3.018/3.018 3.018/3.018 given #150 (F,wt=12): 422 -red(U11(tt,c_M,c2),x) | -reds(x,U12(tt,c_M,c1)). [resolve(421,a,21,c)]. 3.018/3.018 3.018/3.018 given #151 (F,wt=12): 443 -red(U12(tt,c_M,c2),x) | -reds(x,U12(tt,c_M,c1)). [resolve(426,a,21,c)]. 3.018/3.018 3.018/3.018 given #152 (F,wt=12): 448 -red(s(plus(c2,c_M)),x) | -reds(x,U12(tt,c_M,c1)). [resolve(447,a,21,c)]. 3.018/3.018 3.018/3.018 given #153 (T,wt=9): 100 reds(plus(x,s(y)),U11(tt,y,x)). [ur(21,a,36,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #154 (T,wt=9): 102 red(x(x,x(y,0)),x(x,0)). [ur(29,a,37,a)]. 3.018/3.018 3.018/3.018 given #155 (T,wt=7): 654 reds(x(x,x(y,0)),0). [ur(21,a,102,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #156 (T,wt=9): 103 red(x(x(x,0),y),x(0,y)). [ur(28,a,37,a)]. 3.018/3.018 3.018/3.018 given #157 (A,wt=15): 56 red(U22(U12(tt,x,y),z,u),U22(s(plus(y,x)),z,u)). [ur(25,a,32,a)]. 3.018/3.018 3.018/3.018 given #158 (F,wt=3): 631 -red(c2,c1). [resolve(100,a,329,a)]. 3.018/3.018 3.018/3.018 given #159 (F,wt=9): 632 -red(U12(tt,c_M,c2),plus(c1,s(c_M))). [resolve(100,a,221,b)]. 3.018/3.018 3.018/3.018 given #160 (F,wt=9): 633 -red(U11(tt,c_M,c2),plus(c1,s(c_M))). [resolve(100,a,181,b)]. 3.018/3.018 3.018/3.018 given #161 (F,wt=9): 634 -red(plus(c2,s(c_M)),plus(c1,s(c_M))). [resolve(100,a,148,b)]. 3.018/3.018 3.018/3.018 given #162 (T,wt=8): 670 reds(x(x(x,0),s(0)),0). [ur(21,a,103,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #163 (T,wt=9): 104 red(plus(x,x(y,0)),plus(x,0)). [ur(27,a,37,a)]. 3.018/3.018 3.018/3.018 given #164 (T,wt=7): 702 reds(plus(c1,x(x,0)),c2). [ur(21,a,104,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #165 (T,wt=7): 703 reds(plus(x,x(y,0)),x). [ur(21,a,104,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #166 (A,wt=15): 57 red(U21(U12(tt,x,y),z,u),U21(s(plus(y,x)),z,u)). [ur(24,a,32,a)]. 3.018/3.018 3.018/3.018 given #167 (F,wt=9): 635 -reds(U11(tt,c_M,c1),U11(tt,c_M,c2)). [resolve(100,a,40,a)]. 3.018/3.018 3.018/3.018 given #168 (F,wt=9): 739 -red(U11(tt,c_M,c1),U11(tt,c_M,c2)). [ur(21,b,20,a,c,635,a)]. 3.018/3.018 3.018/3.018 given #169 (F,wt=9): 740 -reds(U12(tt,c_M,c1),U11(tt,c_M,c2)). [ur(21,a,31,a,c,635,a)]. 3.018/3.018 3.018/3.018 given #170 (F,wt=9): 746 -red(U12(tt,c_M,c1),U11(tt,c_M,c2)). [ur(21,b,20,a,c,740,a)]. 3.018/3.018 3.018/3.018 given #171 (T,wt=9): 105 red(plus(x(x,0),y),plus(0,y)). [ur(26,a,37,a)]. 3.018/3.018 3.018/3.018 given #172 (T,wt=9): 120 reds(x(x,s(y)),U21(tt,y,x)). [ur(21,a,38,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #173 (T,wt=9): 126 red(U22(c1,x,y),U22(c2,x,y)). [ur(25,a,39,a)]. 3.018/3.018 3.018/3.018 given #174 (T,wt=9): 127 red(U21(c1,x,y),U21(c2,x,y)). [ur(24,a,39,a)]. 3.018/3.018 3.018/3.018 given #175 (A,wt=15): 58 red(U12(U12(tt,x,y),z,u),U12(s(plus(y,x)),z,u)). [ur(23,a,32,a)]. 3.018/3.018 3.018/3.018 given #176 (F,wt=9): 747 -reds(s(plus(c1,c_M)),U11(tt,c_M,c2)). [ur(21,a,32,a,c,740,a)]. 3.018/3.018 3.018/3.018 given #177 (F,wt=9): 804 -red(s(plus(c1,c_M)),U11(tt,c_M,c2)). [ur(21,b,20,a,c,747,a)]. 3.018/3.018 3.018/3.018 given #178 (F,wt=11): 738 -red(U11(tt,c_M,c1),plus(U11(tt,c_M,c2),0)). [ur(21,b,90,a,c,635,a)]. 3.018/3.018 3.018/3.018 given #179 (F,wt=11): 745 -red(U12(tt,c_M,c1),plus(U11(tt,c_M,c2),0)). [ur(21,b,90,a,c,740,a)]. 3.018/3.018 3.018/3.018 given #180 (T,wt=9): 128 red(U12(c1,x,y),U12(c2,x,y)). [ur(23,a,39,a)]. 3.018/3.018 3.018/3.018 given #181 (T,wt=9): 129 red(U11(c1,x,y),U11(c2,x,y)). [ur(22,a,39,a)]. 3.018/3.018 3.018/3.018 given #182 (T,wt=9): 162 red(x(x,s(c1)),x(x,s(c2))). [ur(29,a,121,a)]. 3.018/3.018 3.018/3.018 given #183 (T,wt=8): 834 reds(x(0,s(c1)),x(0,c2)). [ur(21,a,162,a,b,457,a)]. 3.018/3.018 3.018/3.018 given #184 (A,wt=15): 59 red(U11(U12(tt,x,y),z,u),U11(s(plus(y,x)),z,u)). [ur(22,a,32,a)]. 3.018/3.018 3.018/3.018 given #185 (F,wt=11): 803 -red(s(plus(c1,c_M)),plus(U11(tt,c_M,c2),0)). [ur(21,b,90,a,c,747,a)]. 3.018/3.018 3.018/3.018 given #186 (F,wt=12): 506 -reds(s(plus(c1,x)),plus(c2,s(c_M))) | -red(c_M,x). [resolve(356,b,27,b)]. 3.018/3.018 3.018/3.018 given #187 (F,wt=12): 507 -reds(s(plus(x,c_M)),plus(c2,s(c_M))) | -red(c1,x). [resolve(356,b,26,b)]. 3.018/3.018 3.018/3.018 given #188 (F,wt=12): 508 -red(s(plus(c2,c_M)),x) | -reds(x,plus(c2,s(c_M))). [resolve(505,a,21,c)]. 3.018/3.018 3.018/3.018 given #189 (T,wt=9): 163 red(x(s(c1),x),x(s(c2),x)). [ur(28,a,121,a)]. 3.018/3.018 3.018/3.018 given #190 (T,wt=9): 164 red(plus(x,s(c1)),plus(x,s(c2))). [ur(27,a,121,a)]. 3.018/3.018 3.018/3.018 given #191 (T,wt=9): 165 red(plus(s(c1),x),plus(s(c2),x)). [ur(26,a,121,a)]. 3.018/3.018 3.018/3.018 given #192 (T,wt=9): 190 red(s(s(plus(x,0))),s(s(x))). [ur(30,a,81,a)]. 3.018/3.018 3.018/3.018 given #193 (A,wt=11): 61 red(s(U21(tt,x,y)),s(U22(tt,x,y))). [ur(30,a,33,a)]. 3.018/3.018 3.018/3.018 given #194 (F,wt=12): 549 -reds(s(plus(c2,x)),U11(tt,c_M,c1)) | -red(c_M,x). [resolve(360,b,27,b)]. 3.018/3.018 3.018/3.018 given #195 (F,wt=12): 550 -reds(s(plus(x,c_M)),U11(tt,c_M,c1)) | -red(c2,x). [resolve(360,b,26,b)]. 3.018/3.018 3.018/3.018 given #196 (F,wt=12): 622 -reds(plus(c2,x),U12(tt,c_M,c1)) | -red(s(c_M),x). [resolve(417,a,27,b)]. 3.018/3.018 3.018/3.018 given #197 (F,wt=12): 623 -reds(plus(x,s(c_M)),U12(tt,c_M,c1)) | -red(c2,x). [resolve(417,a,26,b)]. 3.018/3.018 3.018/3.018 given #198 (T,wt=9): 201 red(s(s(x(x,0))),s(s(0))). [ur(30,a,101,a)]. 3.018/3.018 3.018/3.018 given #199 (T,wt=9): 225 red(s(x(x,c1)),s(x(x,c2))). [ur(30,a,122,a)]. 3.018/3.018 3.018/3.018 given #200 (T,wt=9): 235 red(s(x(c1,x)),s(x(c2,x))). [ur(30,a,123,a)]. 3.018/3.018 3.018/3.018 given #201 (T,wt=9): 245 red(s(plus(x,c1)),s(plus(x,c2))). [ur(30,a,124,a)]. 3.018/3.018 3.018/3.018 given #202 (A,wt=13): 62 red(x(x,U21(tt,y,z)),x(x,U22(tt,y,z))). [ur(29,a,33,a)]. 3.018/3.018 3.018/3.018 given #203 (F,wt=12): 625 -reds(U11(x,c_M,c2),U12(tt,c_M,c1)) | -red(tt,x). [resolve(422,a,22,b)]. 3.018/3.018 3.018/3.018 given #204 (F,wt=12): 627 -reds(U12(x,c_M,c2),U12(tt,c_M,c1)) | -red(tt,x). [resolve(443,a,23,b)]. 3.018/3.018 3.018/3.018 given #205 (F,wt=12): 629 -reds(s(x),U12(tt,c_M,c1)) | -red(plus(c2,c_M),x). [resolve(448,a,30,b)]. 3.018/3.018 3.018/3.018 given #206 (F,wt=12): 734 -red(U11(tt,c_M,c1),x) | -reds(x,U11(tt,c_M,c2)). [resolve(635,a,21,c)]. 3.018/3.018 3.018/3.018 given #207 (T,wt=9): 255 red(s(plus(c1,x)),s(plus(c2,x))). [ur(30,a,125,a)]. 3.018/3.018 3.018/3.018 given #208 (T,wt=9): 278 reds(plus(plus(plus(x,0),0),0),x). [ur(21,a,35,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #209 (T,wt=9): 286 reds(plus(plus(x(x,0),0),0),0). [ur(21,a,35,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #210 (T,wt=9): 304 red(s(s(s(c1))),s(s(s(c2)))). [ur(30,a,161,a)]. 3.018/3.018 3.018/3.018 given #211 (A,wt=13): 63 red(x(U21(tt,x,y),z),x(U22(tt,x,y),z)). [ur(28,a,33,a)]. 3.018/3.018 3.018/3.018 given #212 (F,wt=9): 987 -reds(s(plus(c2,c_M)),U11(tt,c_M,c2)). [ur(21,a,255,a,c,747,a)]. 3.018/3.018 3.018/3.018 given #213 (F,wt=9): 1037 -red(s(plus(c2,c_M)),U11(tt,c_M,c2)). [ur(21,b,20,a,c,987,a)]. 3.018/3.018 3.018/3.018 given #214 (F,wt=11): 1036 -red(s(plus(c2,c_M)),plus(U11(tt,c_M,c2),0)). [ur(21,b,90,a,c,987,a)]. 3.018/3.018 3.018/3.018 given #215 (F,wt=12): 741 -red(U12(tt,c_M,c1),x) | -reds(x,U11(tt,c_M,c2)). [resolve(740,a,21,c)]. 3.018/3.018 3.018/3.018 given #216 (T,wt=9): 314 reds(plus(plus(plus(c1,0),0),0),c2). [ur(21,a,35,a,b,188,a)]. 3.018/3.018 3.018/3.018 given #217 (T,wt=9): 315 reds(plus(plus(s(c1),0),0),s(c2)). [ur(21,a,35,a,b,189,a)]. 3.018/3.018 3.018/3.018 given #218 (T,wt=9): 333 reds(s(plus(plus(c1,0),0)),s(c2)). [ur(21,a,81,a,b,199,a)]. 3.018/3.018 3.018/3.018 given #219 (T,wt=9): 334 reds(plus(s(plus(c1,0)),0),s(c2)). [ur(21,a,35,a,b,199,a)]. 3.018/3.018 3.018/3.018 given #220 (A,wt=13): 64 red(plus(x,U21(tt,y,z)),plus(x,U22(tt,y,z))). [ur(27,a,33,a)]. 3.018/3.018 3.018/3.018 given #221 (F,wt=12): 799 -red(s(plus(c1,c_M)),x) | -reds(x,U11(tt,c_M,c2)). [resolve(747,a,21,c)]. 3.018/3.018 3.018/3.018 given #222 (F,wt=12): 854 -reds(s(x),plus(c2,s(c_M))) | -red(plus(c2,c_M),x). [resolve(508,a,30,b)]. 3.018/3.018 3.018/3.018 given #223 (F,wt=12): 917 -reds(plus(c2,s(x)),U12(tt,c_M,c1)) | -red(c_M,x). [resolve(622,b,30,b)]. 3.018/3.018 3.018/3.018 given #224 (F,wt=12): 973 -reds(s(plus(c2,x)),U12(tt,c_M,c1)) | -red(c_M,x). [resolve(629,b,27,b)]. 3.018/3.018 3.018/3.018 given #225 (T,wt=9): 336 reds(s(plus(plus(x,0),0)),s(x)). [ur(21,a,81,a,b,200,a)]. 3.018/3.018 3.018/3.018 given #226 (T,wt=9): 337 reds(plus(s(plus(x,0)),0),s(x)). [ur(21,a,35,a,b,200,a)]. 3.018/3.018 3.018/3.018 given #227 (T,wt=9): 339 reds(s(plus(x(x,0),0)),s(0)). [ur(21,a,81,a,b,210,a)]. 3.018/3.018 3.018/3.018 given #228 (T,wt=9): 340 reds(plus(s(x(x,0)),0),s(0)). [ur(21,a,35,a,b,210,a)]. 3.018/3.018 3.018/3.018 given #229 (A,wt=13): 65 red(plus(U21(tt,x,y),z),plus(U22(tt,x,y),z)). [ur(26,a,33,a)]. 3.018/3.018 3.018/3.018 given #230 (F,wt=12): 974 -reds(s(plus(x,c_M)),U12(tt,c_M,c1)) | -red(c2,x). [resolve(629,b,26,b)]. 3.018/3.018 3.018/3.018 given #231 (F,wt=12): 975 -reds(U11(x,c_M,c1),U11(tt,c_M,c2)) | -red(tt,x). [resolve(734,a,22,b)]. 3.018/3.018 3.018/3.018 given #232 (F,wt=12): 1031 -red(s(plus(c2,c_M)),x) | -reds(x,U11(tt,c_M,c2)). [resolve(987,a,21,c)]. 3.018/3.018 3.018/3.018 given #233 (F,wt=12): 1038 -reds(U12(x,c_M,c1),U11(tt,c_M,c2)) | -red(tt,x). [resolve(741,a,23,b)]. 3.018/3.018 3.018/3.018 given #234 (T,wt=9): 343 reds(plus(x(x,c1),0),x(x,c2)). [ur(21,a,35,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #235 (T,wt=8): 1105 reds(U22(tt,c1,0),x(0,c2)). [ur(21,a,34,a,b,343,a)]. 3.018/3.018 3.018/3.018 given #236 (T,wt=8): 1107 reds(U21(tt,c1,0),x(0,c2)). [ur(21,a,33,a,b,1105,a)]. 3.018/3.018 3.018/3.018 given #237 (T,wt=9): 363 reds(plus(x(c1,x),0),x(c2,x)). [ur(21,a,35,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #238 (A,wt=15): 66 red(U22(U21(tt,x,y),z,u),U22(U22(tt,x,y),z,u)). [ur(25,a,33,a)]. 3.018/3.018 3.018/3.018 given #239 (F,wt=12): 1063 -reds(s(x),U11(tt,c_M,c2)) | -red(plus(c1,c_M),x). [resolve(799,a,30,b)]. 3.018/3.018 3.018/3.018 given #240 (F,wt=12): 1066 -reds(s(plus(c2,x)),plus(c2,s(c_M))) | -red(c_M,x). [resolve(854,b,27,b)]. 3.018/3.018 3.018/3.018 given #241 (F,wt=12): 1067 -reds(s(plus(x,c_M)),plus(c2,s(c_M))) | -red(c2,x). [resolve(854,b,26,b)]. 3.018/3.018 3.018/3.018 given #242 (F,wt=12): 1099 -reds(s(x),U11(tt,c_M,c2)) | -red(plus(c2,c_M),x). [resolve(1031,a,30,b)]. 3.018/3.018 3.018/3.018 given #243 (T,wt=9): 366 reds(plus(plus(x,c1),0),plus(x,c2)). [ur(21,a,35,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #244 (T,wt=9): 372 reds(plus(plus(c1,x),0),plus(c2,x)). [ur(21,a,35,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #245 (T,wt=9): 373 reds(s(plus(s(c1),0)),s(s(c2))). [ur(21,a,81,a,b,313,a)]. 3.018/3.018 3.018/3.018 given #246 (T,wt=9): 374 reds(plus(s(s(c1)),0),s(s(c2))). [ur(21,a,35,a,b,313,a)]. 3.018/3.018 3.018/3.018 given #247 (A,wt=15): 67 red(U21(U21(tt,x,y),z,u),U21(U22(tt,x,y),z,u)). [ur(24,a,33,a)]. 3.018/3.018 3.018/3.018 given #248 (F,wt=11): 1133 -red(s(plus(c2,c_M)),plus(plus(c1,s(c_M)),0)). [resolve(372,a,508,b)]. 3.018/3.018 3.018/3.018 given #249 (F,wt=11): 1134 -red(s(plus(c1,c_M)),plus(plus(c1,s(c_M)),0)). [resolve(372,a,185,b)]. 3.018/3.018 3.018/3.018 given #250 (F,wt=11): 1135 -red(U12(tt,c_M,c1),plus(plus(c1,s(c_M)),0)). [resolve(372,a,151,b)]. 3.018/3.018 3.018/3.018 given #251 (F,wt=11): 1136 -red(U11(tt,c_M,c1),plus(plus(c1,s(c_M)),0)). [resolve(372,a,145,b)]. 3.018/3.018 3.018/3.018 given #252 (T,wt=9): 386 reds(plus(U12(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,335,a)]. 3.018/3.018 3.018/3.018 given #253 (T,wt=9): 388 reds(plus(U12(tt,0,x),0),s(x)). [ur(21,a,35,a,b,338,a)]. 3.018/3.018 3.018/3.018 given #254 (T,wt=9): 390 reds(plus(x(c1,c1),0),x(c2,c2)). [ur(21,a,35,a,b,341,a)]. 3.018/3.018 3.018/3.018 given #255 (T,wt=9): 391 reds(plus(plus(c1,c1),0),plus(c2,c2)). [ur(21,a,35,a,b,364,a)]. 3.018/3.018 3.018/3.018 given #256 (A,wt=15): 68 red(U12(U21(tt,x,y),z,u),U12(U22(tt,x,y),z,u)). [ur(23,a,33,a)]. 3.018/3.018 3.018/3.018 given #257 (F,wt=12): 1123 -reds(s(plus(c1,x)),U11(tt,c_M,c2)) | -red(c_M,x). [resolve(1063,b,27,b)]. 3.018/3.018 3.018/3.018 given #258 (F,wt=12): 1124 -reds(s(plus(x,c_M)),U11(tt,c_M,c2)) | -red(c1,x). [resolve(1063,b,26,b)]. 3.018/3.018 3.018/3.018 given #259 (F,wt=12): 1128 -reds(s(plus(c2,x)),U11(tt,c_M,c2)) | -red(c_M,x). [resolve(1099,b,27,b)]. 3.018/3.018 3.018/3.018 given #260 (F,wt=12): 1129 -reds(s(plus(x,c_M)),U11(tt,c_M,c2)) | -red(c2,x). [resolve(1099,b,26,b)]. 3.018/3.018 3.018/3.018 given #261 (T,wt=9): 408 reds(plus(U11(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,387,a)]. 3.018/3.018 3.018/3.018 given #262 (T,wt=9): 410 reds(plus(U11(tt,0,x),0),s(x)). [ur(21,a,35,a,b,389,a)]. 3.018/3.018 3.018/3.018 given #263 (T,wt=9): 411 reds(plus(plus(c1,s(0)),0),s(c2)). [ur(21,a,35,a,b,407,a)]. 3.018/3.018 3.018/3.018 given #264 (T,wt=9): 413 reds(plus(plus(x,s(0)),0),s(x)). [ur(21,a,35,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #265 (A,wt=15): 69 red(U11(U21(tt,x,y),z,u),U11(U22(tt,x,y),z,u)). [ur(22,a,33,a)]. 3.018/3.018 3.018/3.018 given #266 (F,wt=13): 279 -red(s(plus(c2,c_M)),plus(plus(U11(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,224,a)]. 3.018/3.018 3.018/3.018 given #267 (F,wt=13): 280 -red(U12(tt,c_M,c2),plus(plus(U11(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #268 (F,wt=13): 281 -red(s(plus(c1,c_M)),plus(plus(plus(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #269 (F,wt=13): 282 -red(U11(tt,c_M,c2),plus(plus(U11(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #270 (T,wt=9): 416 reds(plus(x,s(y)),U12(tt,y,x)). [ur(21,a,36,a,b,50,a)]. 3.018/3.018 3.018/3.018 given #271 (T,wt=9): 452 reds(plus(U22(tt,s(0),0),0),0). [ur(21,a,35,a,b,432,a)]. 3.018/3.018 3.018/3.018 given #272 (T,wt=9): 455 reds(plus(U21(tt,s(0),0),0),0). [ur(21,a,35,a,b,453,a)]. 3.018/3.018 3.018/3.018 given #273 (T,wt=9): 456 reds(plus(x(0,s(s(0))),0),0). [ur(21,a,35,a,b,454,a)]. 3.018/3.018 3.018/3.018 given #274 (A,wt=12): 71 red(s(U22(tt,x,y)),s(plus(x(y,x),y))). [ur(30,a,34,a)]. 3.018/3.018 3.018/3.018 given #275 (F,wt=9): 1204 -reds(U11(tt,c_M,c1),U12(tt,c_M,c2)). [resolve(416,a,40,a)]. 3.018/3.018 3.018/3.018 given #276 (F,wt=9): 1245 -red(U11(tt,c_M,c1),U12(tt,c_M,c2)). [ur(21,b,20,a,c,1204,a)]. 3.018/3.018 3.018/3.018 given #277 (F,wt=9): 1246 -reds(U12(tt,c_M,c1),U12(tt,c_M,c2)). [ur(21,a,31,a,c,1204,a)]. 3.018/3.018 3.018/3.018 given #278 (F,wt=9): 1253 -red(U12(tt,c_M,c1),U12(tt,c_M,c2)). [ur(21,b,20,a,c,1246,a)]. 3.018/3.018 3.018/3.018 given #279 (T,wt=8): 1226 reds(U22(tt,s(s(0)),0),0). [ur(21,a,34,a,b,456,a)]. 3.018/3.018 3.018/3.018 given #280 (T,wt=8): 1236 reds(s(U22(tt,0,0)),s(0)). [ur(21,a,71,a,b,339,a)]. 3.018/3.018 3.018/3.018 given #281 (T,wt=8): 1256 reds(U21(tt,s(s(0)),0),0). [ur(21,a,33,a,b,1226,a)]. 3.018/3.018 3.018/3.018 given #282 (T,wt=8): 1258 reds(s(U21(tt,0,0)),s(0)). [ur(21,a,61,a,b,1236,a)]. 3.018/3.018 3.018/3.018 given #283 (A,wt=14): 72 red(x(x,U22(tt,y,z)),x(x,plus(x(z,y),z))). [ur(29,a,34,a)]. 3.018/3.018 3.018/3.018 given #284 (F,wt=9): 1254 -reds(s(plus(c1,c_M)),U12(tt,c_M,c2)). [ur(21,a,32,a,c,1246,a)]. 3.018/3.018 3.018/3.018 given #285 (F,wt=9): 1281 -red(s(plus(c1,c_M)),U12(tt,c_M,c2)). [ur(21,b,20,a,c,1254,a)]. 3.018/3.018 3.018/3.018 given #286 (F,wt=9): 1282 -reds(s(plus(c2,c_M)),U12(tt,c_M,c2)). [ur(21,a,255,a,c,1254,a)]. 3.018/3.018 3.018/3.018 given #287 (F,wt=9): 1289 -red(s(plus(c2,c_M)),U12(tt,c_M,c2)). [ur(21,b,20,a,c,1282,a)]. 3.018/3.018 3.018/3.018 given #288 (T,wt=8): 1260 reds(x(0,s(s(s(0)))),0). [ur(21,a,38,a,b,1256,a)]. 3.018/3.018 3.018/3.018 given #289 (T,wt=9): 473 reds(U11(tt,x,y),s(plus(y,x))). [ur(21,a,31,a,b,60,a)]. 3.018/3.018 3.018/3.018 given #290 (T,wt=9): 474 reds(x(x,s(y)),U22(tt,y,x)). [ur(21,a,38,a,b,70,a)]. 3.018/3.018 3.018/3.018 given #291 (T,wt=9): 486 reds(x(0,plus(s(s(0)),0)),0). [ur(21,a,82,a,b,454,a)]. 3.018/3.018 3.018/3.018 given #292 (A,wt=14): 73 red(x(U22(tt,x,y),z),x(plus(x(y,x),y),z)). [ur(28,a,34,a)]. 3.018/3.018 3.018/3.018 given #293 (F,wt=9): 1294 -reds(plus(c2,s(c_M)),s(plus(c1,c_M))). [resolve(473,a,40,b)]. 3.018/3.018 3.018/3.018 given #294 (F,wt=9): 1340 -red(plus(c2,s(c_M)),s(plus(c1,c_M))). [ur(21,b,20,a,c,1294,a)]. 3.018/3.018 3.018/3.018 given #295 (F,wt=9): 1341 -reds(U11(tt,c_M,c2),s(plus(c1,c_M))). [ur(21,a,36,a,c,1294,a)]. 3.018/3.018 3.018/3.018 given #296 (F,wt=9): 1357 -red(U11(tt,c_M,c2),s(plus(c1,c_M))). [ur(21,b,20,a,c,1341,a)]. 3.018/3.018 3.018/3.018 given #297 (T,wt=9): 487 reds(x(c1,plus(c1,0)),x(c2,c2)). [ur(21,a,82,a,b,341,a)]. 3.018/3.018 3.018/3.018 given #298 (T,wt=9): 489 reds(x(c1,plus(x,0)),x(c2,x)). [ur(21,a,82,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #299 (T,wt=9): 490 reds(x(x,plus(c1,0)),x(x,c2)). [ur(21,a,82,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #300 (T,wt=9): 492 reds(x(x,plus(y,0)),x(x,y)). [ur(21,a,82,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #301 (A,wt=14): 74 red(plus(x,U22(tt,y,z)),plus(x,plus(x(z,y),z))). [ur(27,a,34,a)]. 3.018/3.018 3.018/3.018 given #302 (F,wt=9): 1358 -reds(U12(tt,c_M,c2),s(plus(c1,c_M))). [ur(21,a,31,a,c,1341,a)]. 3.018/3.018 3.018/3.018 given #303 (F,wt=9): 1411 -red(U12(tt,c_M,c2),s(plus(c1,c_M))). [ur(21,b,20,a,c,1358,a)]. 3.018/3.018 3.018/3.018 given #304 (F,wt=9): 1412 -reds(s(plus(c2,c_M)),s(plus(c1,c_M))). [ur(21,a,32,a,c,1358,a)]. 3.018/3.018 3.018/3.018 given #305 (F,wt=9): 1428 -red(s(plus(c2,c_M)),s(plus(c1,c_M))). [ur(21,b,20,a,c,1412,a)]. 3.018/3.018 3.018/3.018 given #306 (T,wt=9): 513 reds(x(x,plus(plus(0,0),0)),0). [ur(21,a,82,a,b,491,a)]. 3.018/3.018 3.018/3.018 given #307 (T,wt=9): 514 reds(plus(x(x,plus(0,0)),0),0). [ur(21,a,35,a,b,491,a)]. 3.018/3.018 3.018/3.018 given #308 (T,wt=8): 1435 reds(U22(tt,plus(0,0),0),0). [ur(21,a,34,a,b,514,a)]. 3.018/3.018 3.018/3.018 given #309 (T,wt=8): 1437 reds(U21(tt,plus(0,0),0),0). [ur(21,a,33,a,b,1435,a)]. 3.018/3.018 3.018/3.018 given #310 (A,wt=14): 75 red(plus(U22(tt,x,y),z),plus(plus(x(y,x),y),z)). [ur(26,a,34,a)]. 3.018/3.018 3.018/3.018 given #311 (F,wt=7): 1429 -red(plus(c2,c_M),plus(c1,c_M)). [resolve(1428,a,30,b)]. 3.018/3.018 3.018/3.018 given #312 (F,wt=11): 1244 -red(U11(tt,c_M,c1),plus(U12(tt,c_M,c2),0)). [ur(21,b,90,a,c,1204,a)]. 3.018/3.018 3.018/3.018 given #313 (F,wt=11): 1252 -red(U12(tt,c_M,c1),plus(U12(tt,c_M,c2),0)). [ur(21,b,90,a,c,1246,a)]. 3.018/3.018 3.018/3.018 given #314 (F,wt=11): 1280 -red(s(plus(c1,c_M)),plus(U12(tt,c_M,c2),0)). [ur(21,b,90,a,c,1254,a)]. 3.018/3.018 3.018/3.018 given #315 (T,wt=8): 1438 reds(x(0,s(plus(0,0))),0). [ur(21,a,38,a,b,1437,a)]. 3.018/3.018 3.018/3.018 given #316 (T,wt=8): 1462 reds(x(0,U12(tt,0,0)),0). [ur(21,a,52,a,b,1438,a)]. 3.018/3.018 3.018/3.018 given #317 (T,wt=8): 1467 reds(x(0,U11(tt,0,0)),0). [ur(21,a,42,a,b,1462,a)]. 3.018/3.018 3.018/3.018 given #318 (T,wt=9): 528 reds(x(plus(0,0),s(s(0))),0). [ur(21,a,83,a,b,454,a)]. 3.018/3.018 3.018/3.018 given #319 (A,wt=16): 76 red(U22(U22(tt,x,y),z,u),U22(plus(x(y,x),y),z,u)). [ur(25,a,34,a)]. 3.018/3.018 3.018/3.018 given #320 (F,wt=11): 1288 -red(s(plus(c2,c_M)),plus(U12(tt,c_M,c2),0)). [ur(21,b,90,a,c,1282,a)]. 3.018/3.018 3.018/3.018 given #321 (F,wt=11): 1330 -red(plus(c2,s(c_M)),plus(plus(c1,c_M),s(0))). [ur(21,b,409,a,c,1294,a)]. 3.018/3.018 3.018/3.018 given #322 (F,wt=11): 1331 -red(plus(c2,s(c_M)),U11(tt,0,plus(c1,c_M))). [ur(21,b,389,a,c,1294,a)]. 3.018/3.018 3.018/3.018 given #323 (F,wt=11): 1333 -red(plus(c2,s(c_M)),U12(tt,0,plus(c1,c_M))). [ur(21,b,338,a,c,1294,a)]. 3.018/3.018 3.018/3.018 given #324 (T,wt=9): 529 reds(x(plus(c1,0),c1),x(c2,c2)). [ur(21,a,83,a,b,341,a)]. 3.018/3.018 3.018/3.018 given #325 (T,wt=9): 531 reds(x(plus(c1,0),x),x(c2,x)). [ur(21,a,83,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #326 (T,wt=9): 532 reds(x(plus(x,0),c1),x(x,c2)). [ur(21,a,83,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #327 (T,wt=9): 533 reds(x(plus(x,0),y),x(x,y)). [ur(21,a,83,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #328 (A,wt=16): 77 red(U21(U22(tt,x,y),z,u),U21(plus(x(y,x),y),z,u)). [ur(24,a,34,a)]. 3.018/3.018 3.018/3.018 given #329 (F,wt=11): 1337 -red(plus(c2,s(c_M)),s(plus(plus(c1,c_M),0))). [ur(21,b,200,a,c,1294,a)]. 3.018/3.018 3.018/3.018 given #330 (F,wt=11): 1339 -red(plus(c2,s(c_M)),plus(s(plus(c1,c_M)),0)). [ur(21,b,90,a,c,1294,a)]. 3.018/3.018 3.018/3.018 given #331 (F,wt=11): 1347 -red(U11(tt,c_M,c2),plus(plus(c1,c_M),s(0))). [ur(21,b,409,a,c,1341,a)]. 3.018/3.018 3.018/3.018 given #332 (F,wt=11): 1348 -red(U11(tt,c_M,c2),U11(tt,0,plus(c1,c_M))). [ur(21,b,389,a,c,1341,a)]. 3.018/3.018 3.018/3.018 given #333 (T,wt=9): 561 reds(plus(x,plus(s(0),0)),s(x)). [ur(21,a,84,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #334 (T,wt=9): 562 reds(plus(c1,plus(s(0),0)),s(c2)). [ur(21,a,84,a,b,407,a)]. 3.018/3.018 3.018/3.018 given #335 (T,wt=9): 563 reds(plus(c1,plus(c1,0)),plus(c2,c2)). [ur(21,a,84,a,b,364,a)]. 3.018/3.018 3.018/3.018 given #336 (T,wt=9): 567 reds(plus(c1,plus(x,0)),plus(c2,x)). [ur(21,a,84,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #337 (A,wt=16): 78 red(U12(U22(tt,x,y),z,u),U12(plus(x(y,x),y),z,u)). [ur(23,a,34,a)]. 3.018/3.018 3.018/3.018 given #338 (F,wt=11): 1350 -red(U11(tt,c_M,c2),U12(tt,0,plus(c1,c_M))). [ur(21,b,338,a,c,1341,a)]. 3.018/3.018 3.018/3.018 given #339 (F,wt=11): 1354 -red(U11(tt,c_M,c2),s(plus(plus(c1,c_M),0))). [ur(21,b,200,a,c,1341,a)]. 3.018/3.018 3.018/3.018 given #340 (F,wt=11): 1356 -red(U11(tt,c_M,c2),plus(s(plus(c1,c_M)),0)). [ur(21,b,90,a,c,1341,a)]. 3.018/3.018 3.018/3.018 given #341 (F,wt=11): 1401 -red(U12(tt,c_M,c2),plus(plus(c1,c_M),s(0))). [ur(21,b,409,a,c,1358,a)]. 3.018/3.018 3.018/3.018 given #342 (T,wt=9): 568 reds(plus(x,plus(c1,0)),plus(x,c2)). [ur(21,a,84,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #343 (T,wt=9): 569 reds(plus(s(c1),plus(0,0)),s(c2)). [ur(21,a,84,a,b,189,a)]. 3.018/3.018 3.018/3.018 given #344 (T,wt=9): 570 reds(plus(plus(c1,0),plus(0,0)),c2). [ur(21,a,84,a,b,188,a)]. 3.018/3.018 3.018/3.018 given #345 (T,wt=9): 571 reds(plus(x(x,0),plus(0,0)),0). [ur(21,a,84,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #346 (A,wt=16): 79 red(U11(U22(tt,x,y),z,u),U11(plus(x(y,x),y),z,u)). [ur(22,a,34,a)]. 3.018/3.018 3.018/3.018 given #347 (F,wt=11): 1402 -red(U12(tt,c_M,c2),U11(tt,0,plus(c1,c_M))). [ur(21,b,389,a,c,1358,a)]. 3.018/3.018 3.018/3.018 given #348 (F,wt=11): 1404 -red(U12(tt,c_M,c2),U12(tt,0,plus(c1,c_M))). [ur(21,b,338,a,c,1358,a)]. 3.018/3.018 3.018/3.018 given #349 (F,wt=11): 1408 -red(U12(tt,c_M,c2),s(plus(plus(c1,c_M),0))). [ur(21,b,200,a,c,1358,a)]. 3.018/3.018 3.018/3.018 given #350 (F,wt=11): 1410 -red(U12(tt,c_M,c2),plus(s(plus(c1,c_M)),0)). [ur(21,b,90,a,c,1358,a)]. 3.018/3.018 3.018/3.018 given #351 (T,wt=8): 1571 reds(U22(tt,0,plus(0,0)),0). [ur(21,a,34,a,b,571,a)]. 3.018/3.018 3.018/3.018 given #352 (T,wt=8): 1583 reds(U21(tt,0,plus(0,0)),0). [ur(21,a,33,a,b,1571,a)]. 3.018/3.018 3.018/3.018 given #353 (T,wt=9): 572 reds(plus(plus(x,0),plus(0,0)),x). [ur(21,a,84,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #354 (T,wt=9): 575 reds(plus(x,plus(y,0)),plus(x,y)). [ur(21,a,84,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #355 (A,wt=10): 80 reds(U22(tt,x,y),plus(x(y,x),y)). [ur(21,a,34,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #356 (F,wt=11): 1418 -red(s(plus(c2,c_M)),plus(plus(c1,c_M),s(0))). [ur(21,b,409,a,c,1412,a)]. 3.018/3.018 3.018/3.018 given #357 (F,wt=11): 1419 -red(s(plus(c2,c_M)),U11(tt,0,plus(c1,c_M))). [ur(21,b,389,a,c,1412,a)]. 3.018/3.018 3.018/3.018 given #358 (F,wt=11): 1421 -red(s(plus(c2,c_M)),U12(tt,0,plus(c1,c_M))). [ur(21,b,338,a,c,1412,a)]. 3.018/3.018 3.018/3.018 given #359 (F,wt=11): 1425 -red(s(plus(c2,c_M)),s(plus(plus(c1,c_M),0))). [ur(21,b,200,a,c,1412,a)]. 3.018/3.018 3.018/3.018 given #360 (T,wt=9): 576 reds(plus(c1,plus(plus(0,0),0)),c2). [ur(21,a,84,a,b,573,a)]. 3.018/3.018 3.018/3.018 given #361 (T,wt=9): 577 reds(plus(plus(c1,plus(0,0)),0),c2). [ur(21,a,35,a,b,573,a)]. 3.018/3.018 3.018/3.018 given #362 (T,wt=9): 585 reds(plus(x,plus(plus(0,0),0)),x). [ur(21,a,84,a,b,574,a)]. 3.018/3.018 3.018/3.018 given #363 (T,wt=9): 587 reds(plus(plus(x,plus(0,0)),0),x). [ur(21,a,35,a,b,574,a)]. 3.018/3.018 3.018/3.018 given #364 (A,wt=11): 86 red(U22(plus(x,0),y,z),U22(x,y,z)). [ur(25,a,35,a)]. 3.018/3.018 3.018/3.018 given #365 (F,wt=9): 1628 -red(plus(c2,c_M),plus(plus(c1,c_M),0)). [resolve(1425,a,30,b)]. 3.018/3.018 3.018/3.018 given #366 (F,wt=11): 1427 -red(s(plus(c2,c_M)),plus(s(plus(c1,c_M)),0)). [ur(21,b,90,a,c,1412,a)]. 3.018/3.018 3.018/3.018 given #367 (F,wt=11): 1537 -red(s(plus(c2,c_M)),plus(c1,plus(s(c_M),0))). [resolve(567,a,508,b)]. 3.018/3.018 3.018/3.018 given #368 (F,wt=11): 1538 -red(s(plus(c1,c_M)),plus(c1,plus(s(c_M),0))). [resolve(567,a,185,b)]. 3.018/3.018 3.018/3.018 given #369 (T,wt=8): 1707 reds(U22(plus(tt,0),0,0),0). [ur(21,a,86,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #370 (T,wt=9): 603 reds(plus(plus(x,0),s(0)),s(x)). [ur(21,a,85,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #371 (T,wt=9): 604 reds(plus(plus(c1,0),s(0)),s(c2)). [ur(21,a,85,a,b,407,a)]. 3.018/3.018 3.018/3.018 given #372 (T,wt=9): 605 reds(plus(plus(c1,0),c1),plus(c2,c2)). [ur(21,a,85,a,b,364,a)]. 3.018/3.018 3.018/3.018 given #373 (A,wt=11): 87 red(U21(plus(x,0),y,z),U21(x,y,z)). [ur(24,a,35,a)]. 3.018/3.018 3.018/3.018 given #374 (F,wt=11): 1539 -red(U12(tt,c_M,c1),plus(c1,plus(s(c_M),0))). [resolve(567,a,151,b)]. 3.018/3.018 3.018/3.018 given #375 (F,wt=11): 1540 -red(U11(tt,c_M,c1),plus(c1,plus(s(c_M),0))). [resolve(567,a,145,b)]. 3.018/3.018 3.018/3.018 given #376 (F,wt=11): 1612 -red(s(plus(c2,c_M)),plus(c2,plus(s(c_M),0))). [resolve(575,a,508,b)]. 3.018/3.018 3.018/3.018 given #377 (F,wt=11): 1613 -red(s(plus(c1,c_M)),plus(c2,plus(s(c_M),0))). [resolve(575,a,185,b)]. 3.018/3.018 3.018/3.018 given #378 (T,wt=8): 1739 reds(U21(plus(tt,0),0,0),0). [ur(21,a,87,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #379 (T,wt=9): 606 reds(plus(plus(c1,0),x),plus(c2,x)). [ur(21,a,85,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #380 (T,wt=9): 607 reds(plus(plus(x,0),c1),plus(x,c2)). [ur(21,a,85,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #381 (T,wt=9): 608 reds(plus(plus(x,0),y),plus(x,y)). [ur(21,a,85,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #382 (A,wt=11): 88 red(U12(plus(x,0),y,z),U12(x,y,z)). [ur(23,a,35,a)]. 3.018/3.018 3.018/3.018 given #383 (F,wt=11): 1614 -red(U12(tt,c_M,c1),plus(c2,plus(s(c_M),0))). [resolve(575,a,151,b)]. 3.018/3.018 3.018/3.018 given #384 (F,wt=11): 1615 -red(U11(tt,c_M,c1),plus(c2,plus(s(c_M),0))). [resolve(575,a,145,b)]. 3.018/3.018 3.018/3.018 given #385 (F,wt=11): 1744 -red(s(plus(c2,c_M)),plus(plus(c1,0),s(c_M))). [resolve(606,a,508,b)]. 3.018/3.018 3.018/3.018 given #386 (F,wt=11): 1745 -red(s(plus(c1,c_M)),plus(plus(c1,0),s(c_M))). [resolve(606,a,185,b)]. 3.018/3.018 3.018/3.018 given #387 (T,wt=9): 636 reds(plus(c1,s(x)),U11(tt,x,c2)). [ur(21,a,125,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #388 (T,wt=9): 653 reds(x(c1,x(x,0)),x(c2,0)). [ur(21,a,102,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #389 (T,wt=9): 655 reds(x(x,x(y,0)),x(x,0)). [ur(21,a,102,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #390 (T,wt=9): 656 reds(x(x,plus(x(y,0),0)),0). [ur(21,a,82,a,b,654,a)]. 3.018/3.018 3.018/3.018 given #391 (A,wt=11): 89 red(U11(plus(x,0),y,z),U11(x,y,z)). [ur(22,a,35,a)]. 3.018/3.018 3.018/3.018 given #392 (F,wt=11): 1746 -red(U12(tt,c_M,c1),plus(plus(c1,0),s(c_M))). [resolve(606,a,151,b)]. 3.018/3.018 3.018/3.018 given #393 (F,wt=11): 1747 -red(U11(tt,c_M,c1),plus(plus(c1,0),s(c_M))). [resolve(606,a,145,b)]. 3.018/3.018 3.018/3.018 given #394 (F,wt=11): 1758 -red(s(plus(c2,c_M)),plus(plus(c2,0),s(c_M))). [resolve(608,a,508,b)]. 3.018/3.018 3.018/3.018 given #395 (F,wt=11): 1759 -red(s(plus(c1,c_M)),plus(plus(c2,0),s(c_M))). [resolve(608,a,185,b)]. 3.018/3.018 3.018/3.018 given #396 (T,wt=8): 1799 reds(x(x,U22(tt,0,0)),0). [ur(21,a,72,a,b,656,a)]. 3.018/3.018 3.018/3.018 given #397 (T,wt=8): 1816 reds(x(x,U21(tt,0,0)),0). [ur(21,a,62,a,b,1799,a)]. 3.018/3.018 3.018/3.018 given #398 (T,wt=9): 657 reds(plus(x(x,x(y,0)),0),0). [ur(21,a,35,a,b,654,a)]. 3.018/3.018 3.018/3.018 given #399 (T,wt=8): 1823 reds(U22(tt,x(x,0),0),0). [ur(21,a,34,a,b,657,a)]. 3.018/3.018 3.018/3.018 given #400 (A,wt=11): 91 red(s(plus(x,s(y))),s(U11(tt,y,x))). [ur(30,a,36,a)]. 3.018/3.018 3.018/3.018 given #401 (F,wt=11): 1760 -red(U12(tt,c_M,c1),plus(plus(c2,0),s(c_M))). [resolve(608,a,151,b)]. 3.018/3.018 3.018/3.018 given #402 (F,wt=11): 1761 -red(U11(tt,c_M,c1),plus(plus(c2,0),s(c_M))). [resolve(608,a,145,b)]. 3.018/3.018 3.018/3.018 given #403 (F,wt=12): 1239 -red(U11(tt,c_M,c1),x) | -reds(x,U12(tt,c_M,c2)). [resolve(1204,a,21,c)]. 3.018/3.018 3.018/3.018 given #404 (F,wt=12): 1247 -red(U12(tt,c_M,c1),x) | -reds(x,U12(tt,c_M,c2)). [resolve(1246,a,21,c)]. 3.018/3.018 3.018/3.018 given #405 (T,wt=8): 1826 reds(U21(tt,x(x,0),0),0). [ur(21,a,33,a,b,1823,a)]. 3.018/3.018 3.018/3.018 given #406 (T,wt=8): 1842 reds(x(0,s(x(x,0))),0). [ur(21,a,38,a,b,1826,a)]. 3.018/3.018 3.018/3.018 given #407 (T,wt=9): 669 reds(x(x(x,0),s(s(0))),0). [ur(21,a,103,a,b,454,a)]. 3.018/3.018 3.018/3.018 given #408 (T,wt=9): 671 reds(x(x(x,0),c1),x(0,c2)). [ur(21,a,103,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #409 (A,wt=13): 92 red(x(x,plus(y,s(z))),x(x,U11(tt,z,y))). [ur(29,a,36,a)]. 3.018/3.018 3.018/3.018 given #410 (F,wt=12): 1275 -red(s(plus(c1,c_M)),x) | -reds(x,U12(tt,c_M,c2)). [resolve(1254,a,21,c)]. 3.018/3.018 3.018/3.018 given #411 (F,wt=12): 1283 -red(s(plus(c2,c_M)),x) | -reds(x,U12(tt,c_M,c2)). [resolve(1282,a,21,c)]. 3.018/3.018 3.018/3.018 given #412 (F,wt=12): 1325 -red(plus(c2,s(c_M)),x) | -reds(x,s(plus(c1,c_M))). [resolve(1294,a,21,c)]. 3.018/3.018 3.018/3.018 given #413 (F,wt=12): 1342 -red(U11(tt,c_M,c2),x) | -reds(x,s(plus(c1,c_M))). [resolve(1341,a,21,c)]. 3.018/3.018 3.018/3.018 given #414 (T,wt=8): 1861 reds(x(0,plus(0,s(0))),0). [ur(21,a,92,a,b,1467,a)]. 3.018/3.018 3.018/3.018 given #415 (T,wt=9): 672 reds(x(x(x,0),y),x(0,y)). [ur(21,a,103,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #416 (T,wt=9): 697 reds(plus(c1,x(x,0)),plus(c2,0)). [ur(21,a,104,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #417 (T,wt=9): 698 reds(plus(s(c1),x(x,0)),s(c2)). [ur(21,a,104,a,b,189,a)]. 3.018/3.018 3.018/3.018 given #418 (A,wt=13): 93 red(x(plus(x,s(y)),z),x(U11(tt,y,x),z)). [ur(28,a,36,a)]. 3.018/3.018 3.018/3.018 given #419 (F,wt=12): 1396 -red(U12(tt,c_M,c2),x) | -reds(x,s(plus(c1,c_M))). [resolve(1358,a,21,c)]. 3.018/3.018 3.018/3.018 given #420 (F,wt=12): 1413 -red(s(plus(c2,c_M)),x) | -reds(x,s(plus(c1,c_M))). [resolve(1412,a,21,c)]. 3.018/3.018 3.018/3.018 given #421 (F,wt=12): 1837 -reds(U11(x,c_M,c1),U12(tt,c_M,c2)) | -red(tt,x). [resolve(1239,a,22,b)]. 3.018/3.018 3.018/3.018 given #422 (F,wt=12): 1839 -reds(U12(x,c_M,c1),U12(tt,c_M,c2)) | -red(tt,x). [resolve(1247,a,23,b)]. 3.018/3.018 3.018/3.018 given #423 (T,wt=9): 699 reds(plus(plus(c1,0),x(x,0)),c2). [ur(21,a,104,a,b,188,a)]. 3.018/3.018 3.018/3.018 given #424 (T,wt=9): 700 reds(plus(x(x,0),x(y,0)),0). [ur(21,a,104,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #425 (T,wt=8): 1917 reds(U22(tt,0,x(x,0)),0). [ur(21,a,34,a,b,700,a)]. 3.018/3.018 3.018/3.018 given #426 (T,wt=8): 1920 reds(U21(tt,0,x(x,0)),0). [ur(21,a,33,a,b,1917,a)]. 3.018/3.018 3.018/3.018 given #427 (A,wt=13): 94 red(plus(x,plus(y,s(z))),plus(x,U11(tt,z,y))). [ur(27,a,36,a)]. 3.018/3.018 3.018/3.018 given #428 (F,wt=12): 1866 -reds(s(x),U12(tt,c_M,c2)) | -red(plus(c1,c_M),x). [resolve(1275,a,30,b)]. 3.018/3.018 3.018/3.018 given #429 (F,wt=12): 1868 -reds(s(x),U12(tt,c_M,c2)) | -red(plus(c2,c_M),x). [resolve(1283,a,30,b)]. 3.018/3.018 3.018/3.018 given #430 (F,wt=12): 1870 -reds(plus(c2,x),s(plus(c1,c_M))) | -red(s(c_M),x). [resolve(1325,a,27,b)]. 3.018/3.018 3.018/3.018 given #431 (F,wt=12): 1871 -reds(plus(x,s(c_M)),s(plus(c1,c_M))) | -red(c2,x). [resolve(1325,a,26,b)]. 3.018/3.018 3.018/3.018 given #432 (T,wt=9): 701 reds(plus(plus(x,0),x(y,0)),x). [ur(21,a,104,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #433 (T,wt=9): 704 reds(plus(x,x(y,0)),plus(x,0)). [ur(21,a,104,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #434 (T,wt=9): 705 reds(plus(c1,plus(x(x,0),0)),c2). [ur(21,a,84,a,b,702,a)]. 3.018/3.018 3.018/3.018 given #435 (T,wt=8): 1982 reds(plus(c1,U22(tt,0,0)),c2). [ur(21,a,74,a,b,705,a)]. 3.018/3.018 3.018/3.018 given #436 (A,wt=13): 95 red(plus(plus(x,s(y)),z),plus(U11(tt,y,x),z)). [ur(26,a,36,a)]. 3.018/3.018 3.018/3.018 given #437 (F,wt=12): 1873 -reds(U11(x,c_M,c2),s(plus(c1,c_M))) | -red(tt,x). [resolve(1342,a,22,b)]. 3.018/3.018 3.018/3.018 given #438 (F,wt=12): 1907 -reds(U12(x,c_M,c2),s(plus(c1,c_M))) | -red(tt,x). [resolve(1396,a,23,b)]. 3.018/3.018 3.018/3.018 given #439 (F,wt=12): 1909 -reds(s(x),s(plus(c1,c_M))) | -red(plus(c2,c_M),x). [resolve(1413,a,30,b)]. 3.018/3.018 3.018/3.018 given #440 (F,wt=11): 2011 -red(plus(c2,c_M),plus(plus(plus(c1,c_M),0),0)). [resolve(1909,a,336,a)]. 3.018/3.018 3.018/3.018 given #441 (T,wt=8): 1986 reds(plus(c1,U21(tt,0,0)),c2). [ur(21,a,64,a,b,1982,a)]. 3.018/3.018 3.018/3.018 given #442 (T,wt=9): 706 reds(plus(plus(c1,x(x,0)),0),c2). [ur(21,a,35,a,b,702,a)]. 3.018/3.018 3.018/3.018 given #443 (T,wt=9): 718 reds(plus(x,plus(x(y,0),0)),x). [ur(21,a,84,a,b,703,a)]. 3.018/3.018 3.018/3.018 given #444 (T,wt=8): 2048 reds(plus(x,U22(tt,0,0)),x). [ur(21,a,74,a,b,718,a)]. 3.018/3.018 3.018/3.018 given #445 (A,wt=15): 96 red(U22(plus(x,s(y)),z,u),U22(U11(tt,y,x),z,u)). [ur(25,a,36,a)]. 3.018/3.018 3.018/3.018 given #446 (F,wt=12): 1937 -reds(s(plus(c1,x)),U12(tt,c_M,c2)) | -red(c_M,x). [resolve(1866,b,27,b)]. 3.018/3.018 3.018/3.018 given #447 (F,wt=12): 1938 -reds(s(plus(x,c_M)),U12(tt,c_M,c2)) | -red(c1,x). [resolve(1866,b,26,b)]. 3.018/3.018 3.018/3.018 given #448 (F,wt=12): 1940 -reds(s(plus(c2,x)),U12(tt,c_M,c2)) | -red(c_M,x). [resolve(1868,b,27,b)]. 3.018/3.018 3.018/3.018 given #449 (F,wt=12): 1941 -reds(s(plus(x,c_M)),U12(tt,c_M,c2)) | -red(c2,x). [resolve(1868,b,26,b)]. 3.018/3.018 3.018/3.018 given #450 (T,wt=8): 2085 reds(plus(x,U21(tt,0,0)),x). [ur(21,a,64,a,b,2048,a)]. 3.018/3.018 3.018/3.018 given #451 (T,wt=9): 721 reds(plus(plus(x,x(y,0)),0),x). [ur(21,a,35,a,b,703,a)]. 3.018/3.018 3.018/3.018 given #452 (T,wt=9): 757 reds(plus(x(x,0),s(0)),s(0)). [ur(21,a,105,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #453 (T,wt=8): 2169 reds(U22(tt,0,s(0)),s(0)). [ur(21,a,34,a,b,757,a)]. 3.018/3.018 3.018/3.018 given #454 (A,wt=15): 97 red(U21(plus(x,s(y)),z,u),U21(U11(tt,y,x),z,u)). [ur(24,a,36,a)]. 3.018/3.018 3.018/3.018 given #455 (F,wt=12): 1943 -reds(plus(c2,s(x)),s(plus(c1,c_M))) | -red(c_M,x). [resolve(1870,b,30,b)]. 3.018/3.018 3.018/3.018 given #456 (F,wt=12): 2013 -reds(s(plus(c2,x)),s(plus(c1,c_M))) | -red(c_M,x). [resolve(1909,b,27,b)]. 3.018/3.018 3.018/3.018 given #457 (F,wt=12): 2014 -reds(s(plus(x,c_M)),s(plus(c1,c_M))) | -red(c2,x). [resolve(1909,b,26,b)]. 3.018/3.018 3.018/3.018 given #458 (F,wt=13): 283 -red(U12(tt,c_M,c1),plus(plus(plus(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #459 (T,wt=8): 2172 reds(U21(tt,0,s(0)),s(0)). [ur(21,a,33,a,b,2169,a)]. 3.018/3.018 3.018/3.018 given #460 (T,wt=8): 2187 reds(x(s(0),s(0)),s(0)). [ur(21,a,38,a,b,2172,a)]. 3.018/3.018 3.018/3.018 given #461 (T,wt=9): 758 reds(plus(x(x,0),c1),plus(0,c2)). [ur(21,a,105,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #462 (T,wt=8): 2194 reds(U22(tt,0,c1),plus(0,c2)). [ur(21,a,34,a,b,758,a)]. 3.018/3.018 3.018/3.018 given #463 (A,wt=15): 98 red(U12(plus(x,s(y)),z,u),U12(U11(tt,y,x),z,u)). [ur(23,a,36,a)]. 3.018/3.018 3.018/3.018 given #464 (F,wt=13): 284 -red(plus(c2,s(c_M)),plus(plus(U11(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #465 (F,wt=13): 285 -red(U11(tt,c_M,c1),plus(plus(plus(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #466 (F,wt=13): 418 -red(plus(c2,s(c_M)),plus(plus(U12(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,415,a)]. 3.018/3.018 3.018/3.018 given #467 (F,wt=13): 423 -red(U11(tt,c_M,c2),plus(plus(U12(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,421,a)]. 3.018/3.018 3.018/3.018 given #468 (T,wt=8): 2197 reds(U21(tt,0,c1),plus(0,c2)). [ur(21,a,33,a,b,2194,a)]. 3.018/3.018 3.018/3.018 given #469 (T,wt=8): 2209 reds(x(c1,s(0)),plus(0,c2)). [ur(21,a,38,a,b,2197,a)]. 3.018/3.018 3.018/3.018 given #470 (T,wt=9): 760 reds(plus(x(x,0),y),plus(0,y)). [ur(21,a,105,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #471 (T,wt=8): 2222 reds(U22(tt,0,x),plus(0,x)). [ur(21,a,34,a,b,760,a)]. 3.018/3.018 3.018/3.018 given #472 (A,wt=15): 99 red(U11(plus(x,s(y)),z,u),U11(U11(tt,y,x),z,u)). [ur(22,a,36,a)]. 3.018/3.018 3.018/3.018 given #473 (F,wt=13): 444 -red(U12(tt,c_M,c2),plus(plus(U12(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #474 (F,wt=13): 449 -red(s(plus(c2,c_M)),plus(plus(U12(tt,c_M,c1),0),0)). [ur(21,b,155,a,c,447,a)]. 3.018/3.018 3.018/3.018 given #475 (F,wt=13): 510 -red(s(plus(c2,c_M)),plus(plus(plus(c2,s(c_M)),0),0)). [ur(21,b,155,a,c,505,a)]. 3.018/3.018 3.018/3.018 given #476 (F,wt=13): 578 -red(s(plus(c2,c_M)),plus(U11(tt,c_M,c1),plus(0,0))). [resolve(574,a,275,b)]. 3.018/3.018 3.018/3.018 given #477 (T,wt=8): 2225 reds(U21(tt,0,x),plus(0,x)). [ur(21,a,33,a,b,2222,a)]. 3.018/3.018 3.018/3.018 given #478 (T,wt=8): 2237 reds(x(x,s(0)),plus(0,x)). [ur(21,a,38,a,b,2225,a)]. 3.018/3.018 3.018/3.018 given #479 (T,wt=9): 761 reds(x(c1,s(x)),U21(tt,x,c2)). [ur(21,a,123,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #480 (T,wt=9): 778 reds(U22(c1,x,y),U22(c2,x,y)). [ur(21,a,126,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #481 (A,wt=11): 106 red(U22(x(x,0),y,z),U22(0,y,z)). [ur(25,a,37,a)]. 3.018/3.018 3.018/3.018 given #482 (F,wt=13): 579 -red(U12(tt,c_M,c2),plus(U11(tt,c_M,c1),plus(0,0))). [resolve(574,a,221,b)]. 3.018/3.018 3.018/3.018 given #483 (F,wt=13): 580 -red(s(plus(c1,c_M)),plus(plus(c2,s(c_M)),plus(0,0))). [resolve(574,a,185,b)]. 3.018/3.018 3.018/3.018 given #484 (F,wt=13): 581 -red(U11(tt,c_M,c2),plus(U11(tt,c_M,c1),plus(0,0))). [resolve(574,a,181,b)]. 3.018/3.018 3.018/3.018 given #485 (F,wt=13): 582 -red(U12(tt,c_M,c1),plus(plus(c2,s(c_M)),plus(0,0))). [resolve(574,a,151,b)]. 3.018/3.018 3.018/3.018 given #486 (T,wt=9): 788 reds(U21(c1,x,y),U21(c2,x,y)). [ur(21,a,127,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #487 (T,wt=9): 814 reds(U12(c1,x,y),U12(c2,x,y)). [ur(21,a,128,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #488 (T,wt=9): 824 reds(U11(c1,x,y),U11(c2,x,y)). [ur(21,a,129,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #489 (T,wt=9): 835 reds(x(c1,s(c1)),x(c2,s(c2))). [ur(21,a,162,a,b,244,a)]. 3.018/3.018 3.018/3.018 given #490 (A,wt=11): 107 red(U21(x(x,0),y,z),U21(0,y,z)). [ur(24,a,37,a)]. 3.018/3.018 3.018/3.018 given #491 (F,wt=13): 583 -red(plus(c2,s(c_M)),plus(U11(tt,c_M,c1),plus(0,0))). [resolve(574,a,148,b)]. 3.018/3.018 3.018/3.018 given #492 (F,wt=13): 584 -red(U11(tt,c_M,c1),plus(plus(c2,s(c_M)),plus(0,0))). [resolve(574,a,145,b)]. 3.018/3.018 3.018/3.018 given #493 (F,wt=13): 589 -red(s(plus(c2,c_M)),plus(plus(c2,s(c_M)),plus(0,0))). [ur(21,b,574,a,c,505,a)]. 3.018/3.018 3.018/3.018 given #494 (F,wt=13): 590 -red(s(plus(c2,c_M)),plus(U12(tt,c_M,c1),plus(0,0))). [ur(21,b,574,a,c,447,a)]. 3.018/3.018 3.018/3.018 given #495 (T,wt=9): 836 reds(x(x,s(c1)),U21(tt,c2,x)). [ur(21,a,162,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #496 (T,wt=9): 837 reds(x(x,s(c1)),x(x,s(c2))). [ur(21,a,162,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #497 (T,wt=9): 865 reds(x(s(c1),c1),x(s(c2),c2)). [ur(21,a,163,a,b,234,a)]. 3.018/3.018 3.018/3.018 given #498 (T,wt=9): 867 reds(x(s(c1),x),x(s(c2),x)). [ur(21,a,163,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #499 (A,wt=11): 108 red(U12(x(x,0),y,z),U12(0,y,z)). [ur(23,a,37,a)]. 3.018/3.018 3.018/3.018 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.10 sec). 3.018/3.018 3.018/3.018 given #500 (F,wt=13): 591 -red(U12(tt,c_M,c2),plus(U12(tt,c_M,c1),plus(0,0))). [ur(21,b,574,a,c,426,a)]. 3.018/3.018 3.018/3.018 given #501 (F,wt=13): 592 -red(U11(tt,c_M,c2),plus(U12(tt,c_M,c1),plus(0,0))). [ur(21,b,574,a,c,421,a)]. 3.018/3.018 3.018/3.018 given #502 (F,wt=13): 593 -red(plus(c2,s(c_M)),plus(U12(tt,c_M,c1),plus(0,0))). [ur(21,b,574,a,c,415,a)]. 3.018/3.018 3.018/3.018 given #503 (F,wt=13): 707 -red(s(plus(c2,c_M)),plus(U12(tt,c_M,c1),x(x,0))). [resolve(703,a,448,b)]. 3.018/3.018 3.018/3.018 given #504 (T,wt=9): 877 reds(plus(c1,s(c1)),plus(c2,s(c2))). [ur(21,a,164,a,b,264,a)]. 3.018/3.018 3.018/3.018 given #505 (T,wt=9): 878 reds(plus(x,s(c1)),U11(tt,c2,x)). [ur(21,a,164,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #506 (T,wt=9): 879 reds(plus(x,s(c1)),plus(x,s(c2))). [ur(21,a,164,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #507 (T,wt=9): 889 reds(plus(s(c1),s(0)),s(s(c2))). [ur(21,a,165,a,b,409,a)]. 3.018/3.018 3.018/3.018 given #508 (A,wt=11): 109 red(U11(x(x,0),y,z),U11(0,y,z)). [ur(22,a,37,a)]. 3.018/3.018 3.018/3.018 given #509 (F,wt=13): 708 -red(U12(tt,c_M,c2),plus(U12(tt,c_M,c1),x(x,0))). [resolve(703,a,443,b)]. 3.018/3.018 3.018/3.018 given #510 (F,wt=13): 709 -red(U11(tt,c_M,c2),plus(U12(tt,c_M,c1),x(x,0))). [resolve(703,a,422,b)]. 3.018/3.018 3.018/3.018 given #511 (F,wt=13): 710 -red(plus(c2,s(c_M)),plus(U12(tt,c_M,c1),x(x,0))). [resolve(703,a,417,b)]. 3.018/3.018 3.018/3.018 given #512 (F,wt=13): 711 -red(s(plus(c2,c_M)),plus(U11(tt,c_M,c1),x(x,0))). [resolve(703,a,275,b)]. 3.018/3.018 3.018/3.018 given #513 (T,wt=9): 890 reds(plus(s(c1),c1),plus(s(c2),c2)). [ur(21,a,165,a,b,254,a)]. 3.018/3.018 3.018/3.018 given #514 (T,wt=9): 892 reds(plus(s(c1),x),plus(s(c2),x)). [ur(21,a,165,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #515 (T,wt=9): 902 reds(s(s(plus(c1,0))),s(s(c2))). [ur(21,a,190,a,b,313,a)]. 3.018/3.018 3.018/3.018 given #516 (T,wt=9): 903 reds(s(s(plus(x,0))),s(s(x))). [ur(21,a,190,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #517 (A,wt=11): 111 red(s(x(x,s(y))),s(U21(tt,y,x))). [ur(30,a,38,a)]. 3.018/3.018 3.018/3.018 given #518 (F,wt=13): 712 -red(U12(tt,c_M,c2),plus(U11(tt,c_M,c1),x(x,0))). [resolve(703,a,221,b)]. 3.018/3.018 3.018/3.018 given #519 (F,wt=13): 713 -red(s(plus(c1,c_M)),plus(plus(c2,s(c_M)),x(x,0))). [resolve(703,a,185,b)]. 3.018/3.018 3.018/3.018 given #520 (F,wt=13): 714 -red(U11(tt,c_M,c2),plus(U11(tt,c_M,c1),x(x,0))). [resolve(703,a,181,b)]. 3.018/3.018 3.018/3.018 given #521 (F,wt=13): 715 -red(U12(tt,c_M,c1),plus(plus(c2,s(c_M)),x(x,0))). [resolve(703,a,151,b)]. 3.018/3.018 3.018/3.018 given #522 (T,wt=8): 2381 reds(s(x(0,s(0))),s(0)). [ur(21,a,111,a,b,1258,a)]. 3.018/3.018 3.018/3.018 given #523 (T,wt=9): 928 reds(s(s(x(x,0))),s(s(0))). [ur(21,a,201,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #524 (T,wt=9): 938 reds(s(x(x,c1)),s(x(x,c2))). [ur(21,a,225,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #525 (T,wt=9): 948 reds(s(x(c1,x)),s(x(c2,x))). [ur(21,a,235,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #526 (A,wt=13): 112 red(x(x,x(y,s(z))),x(x,U21(tt,z,y))). [ur(29,a,38,a)]. 3.018/3.018 3.018/3.018 given #527 (F,wt=13): 716 -red(plus(c2,s(c_M)),plus(U11(tt,c_M,c1),x(x,0))). [resolve(703,a,148,b)]. 3.018/3.018 3.018/3.018 given #528 (F,wt=13): 717 -red(U11(tt,c_M,c1),plus(plus(c2,s(c_M)),x(x,0))). [resolve(703,a,145,b)]. 3.018/3.018 3.018/3.018 given #529 (F,wt=13): 723 -red(s(plus(c2,c_M)),plus(plus(c2,s(c_M)),x(x,0))). [ur(21,b,703,a,c,505,a)]. 3.018/3.018 3.018/3.018 given #530 (F,wt=13): 735 -red(U11(tt,c_M,c1),plus(U11(tt,c_M,c2),x(x,0))). [ur(21,b,703,a,c,635,a)]. 3.018/3.018 3.018/3.018 given #531 (T,wt=8): 2402 reds(x(x,x(0,s(0))),0). [ur(21,a,112,a,b,1816,a)]. 3.018/3.018 3.018/3.018 given #532 (T,wt=9): 958 reds(s(plus(x,c1)),s(plus(x,c2))). [ur(21,a,245,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #533 (T,wt=9): 986 reds(s(plus(c1,x)),s(plus(c2,x))). [ur(21,a,255,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #534 (T,wt=9): 1018 reds(s(s(s(c1))),s(s(s(c2)))). [ur(21,a,304,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #535 (A,wt=13): 113 red(x(x(x,s(y)),z),x(U21(tt,y,x),z)). [ur(28,a,38,a)]. 3.018/3.018 3.018/3.018 given #536 (F,wt=13): 736 -red(U11(tt,c_M,c1),plus(U11(tt,c_M,c2),plus(0,0))). [ur(21,b,574,a,c,635,a)]. 3.018/3.018 3.018/3.018 given #537 (F,wt=13): 737 -red(U11(tt,c_M,c1),plus(plus(U11(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,635,a)]. 3.018/3.018 3.018/3.018 given #538 (F,wt=13): 742 -red(U12(tt,c_M,c1),plus(U11(tt,c_M,c2),x(x,0))). [ur(21,b,703,a,c,740,a)]. 3.018/3.018 3.018/3.018 given #539 (F,wt=13): 743 -red(U12(tt,c_M,c1),plus(U11(tt,c_M,c2),plus(0,0))). [ur(21,b,574,a,c,740,a)]. 3.018/3.018 3.018/3.018 given #540 (T,wt=9): 1048 reds(U12(tt,0,plus(c1,0)),s(c2)). [ur(21,a,32,a,b,333,a)]. 3.018/3.018 3.018/3.018 given #541 (T,wt=9): 1072 reds(U12(tt,0,plus(x,0)),s(x)). [ur(21,a,32,a,b,336,a)]. 3.018/3.018 3.018/3.018 given #542 (T,wt=9): 1078 reds(U12(tt,0,x(x,0)),s(0)). [ur(21,a,32,a,b,339,a)]. 3.018/3.018 3.018/3.018 given #543 (T,wt=9): 1142 reds(U12(tt,0,s(c1)),s(s(c2))). [ur(21,a,32,a,b,373,a)]. 3.018/3.018 3.018/3.018 given #544 (A,wt=13): 114 red(plus(x,x(y,s(z))),plus(x,U21(tt,z,y))). [ur(27,a,38,a)]. 3.018/3.018 3.018/3.018 given #545 (F,wt=13): 744 -red(U12(tt,c_M,c1),plus(plus(U11(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,740,a)]. 3.018/3.018 3.018/3.018 given #546 (F,wt=13): 800 -red(s(plus(c1,c_M)),plus(U11(tt,c_M,c2),x(x,0))). [ur(21,b,703,a,c,747,a)]. 3.018/3.018 3.018/3.018 given #547 (F,wt=13): 801 -red(s(plus(c1,c_M)),plus(U11(tt,c_M,c2),plus(0,0))). [ur(21,b,574,a,c,747,a)]. 3.018/3.018 3.018/3.018 given #548 (F,wt=13): 802 -red(s(plus(c1,c_M)),plus(plus(U11(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,747,a)]. 3.018/3.018 3.018/3.018 given #549 (T,wt=8): 2466 reds(plus(x,x(0,s(0))),x). [ur(21,a,114,a,b,2085,a)]. 3.018/3.018 3.018/3.018 given #550 (T,wt=8): 2467 reds(plus(c1,x(0,s(0))),c2). [ur(21,a,114,a,b,1986,a)]. 3.018/3.018 3.018/3.018 given #551 (T,wt=9): 1206 reds(plus(x,s(c1)),U12(tt,c2,x)). [ur(21,a,164,a,b,416,a)]. 3.018/3.018 3.018/3.018 given #552 (T,wt=9): 1207 reds(plus(c1,s(x)),U12(tt,x,c2)). [ur(21,a,125,a,b,416,a)]. 3.018/3.018 3.018/3.018 given #553 (A,wt=13): 115 red(plus(x(x,s(y)),z),plus(U21(tt,y,x),z)). [ur(26,a,38,a)]. 3.018/3.018 3.018/3.018 given #554 (F,wt=13): 1032 -red(s(plus(c2,c_M)),plus(U11(tt,c_M,c2),x(x,0))). [ur(21,b,703,a,c,987,a)]. 3.018/3.018 3.018/3.018 given #555 (F,wt=13): 1033 -red(s(plus(c2,c_M)),plus(U11(tt,c_M,c2),plus(0,0))). [ur(21,b,574,a,c,987,a)]. 3.018/3.018 3.018/3.018 given #556 (F,wt=13): 1035 -red(s(plus(c2,c_M)),plus(plus(U11(tt,c_M,c2),0),0)). [ur(21,b,155,a,c,987,a)]. 3.018/3.018 3.018/3.018 given #557 (F,wt=13): 1240 -red(U11(tt,c_M,c1),plus(U12(tt,c_M,c2),x(x,0))). [ur(21,b,703,a,c,1204,a)]. 3.018/3.018 3.018/3.018 given #558 (T,wt=9): 1295 reds(plus(x,s(y)),s(plus(x,y))). [ur(21,a,36,a,b,473,a)]. 3.018/3.018 3.018/3.018 given #559 (T,wt=9): 1298 reds(x(x,s(c1)),U22(tt,c2,x)). [ur(21,a,162,a,b,474,a)]. 3.018/3.018 3.018/3.018 given #560 (T,wt=9): 1299 reds(x(c1,s(x)),U22(tt,x,c2)). [ur(21,a,123,a,b,474,a)]. 3.018/3.018 3.018/3.018 given #561 (T,wt=9): 1706 reds(U22(plus(tt,0),s(0),0),0). [ur(21,a,86,a,b,432,a)]. 3.018/3.018 3.018/3.018 given #562 (A,wt=15): 116 red(U22(x(x,s(y)),z,u),U22(U21(tt,y,x),z,u)). [ur(25,a,38,a)]. 3.018/3.018 3.018/3.018 given #563 (F,wt=9): 2556 -reds(U11(tt,c_M,c1),s(plus(c2,c_M))). [resolve(1295,a,40,a)]. 3.018/3.018 3.018/3.018 ============================== PROOF ================================= 3.018/3.018 3.018/3.018 % Proof 1 at 0.11 (+ 0.00) seconds. 3.018/3.018 % Length of proof is 25. 3.018/3.018 % Level of proof is 6. 3.018/3.018 % Maximum clause weight is 12.000. 3.018/3.018 % Given clauses 563. 3.018/3.018 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 6 red(x,y) -> red(plus(x,z2),plus(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 10 red(x,y) -> red(s(x),s(y)) # label(non_clause). [assumption]. 3.018/3.018 11 (all M all N red(U11(tt,M,N),U12(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 12 (all M all N red(U12(tt,M,N),s(plus(N,M)))) # label(non_clause). [assumption]. 3.018/3.018 16 (all M all N red(plus(N,s(M)),U11(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all N all y exists z (red(N,y) -> reds(plus(y,s(c_M)),z) & reds(U11(tt,c_M,N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(plus(c2,s(c_M)),x) | -reds(U11(tt,c_M,c1),x). [deny(19)]. 3.018/3.018 60 reds(U12(tt,x,y),s(plus(y,x))). [ur(21,a,32,a,b,20,a)]. 3.018/3.018 125 red(plus(c1,x),plus(c2,x)). [ur(26,a,39,a)]. 3.018/3.018 255 red(s(plus(c1,x)),s(plus(c2,x))). [ur(30,a,125,a)]. 3.018/3.018 473 reds(U11(tt,x,y),s(plus(y,x))). [ur(21,a,31,a,b,60,a)]. 3.018/3.018 986 reds(s(plus(c1,x)),s(plus(c2,x))). [ur(21,a,255,a,b,20,a)]. 3.018/3.018 1295 reds(plus(x,s(y)),s(plus(x,y))). [ur(21,a,36,a,b,473,a)]. 3.018/3.018 2418 reds(U12(tt,x,c1),s(plus(c2,x))). [ur(21,a,32,a,b,986,a)]. 3.018/3.018 2556 -reds(U11(tt,c_M,c1),s(plus(c2,c_M))). [resolve(1295,a,40,a)]. 3.018/3.018 2629 $F. [ur(21,a,31,a,c,2556,a),unit_del(a,2418)]. 3.018/3.018 3.018/3.018 ============================== end of proof ========================== 3.018/3.018 3.018/3.018 ============================== STATISTICS ============================ 3.018/3.018 3.018/3.018 Given=563. Generated=3923. Kept=2609. proofs=1. 3.018/3.018 Usable=563. Sos=2017. Demods=0. Limbo=29, Disabled=21. Hints=0. 3.018/3.018 Kept_by_rule=0, Deleted_by_rule=0. 3.018/3.018 Forward_subsumed=1313. Back_subsumed=0. 3.018/3.018 Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. 3.018/3.018 New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. 3.018/3.018 Demod_attempts=0. Demod_rewrites=0. 3.018/3.018 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. 3.018/3.018 Nonunit_fsub_feature_tests=442. Nonunit_bsub_feature_tests=780. 3.018/3.018 Megabytes=4.77. 3.018/3.018 User_CPU=0.11, System_CPU=0.00, Wall_clock=0. 3.018/3.018 3.018/3.018 ============================== end of statistics ===================== 3.018/3.018 3.018/3.018 ============================== end of search ========================= 3.018/3.018 3.018/3.018 THEOREM PROVED 3.018/3.018 3.018/3.018 Exiting with 1 proof. 3.018/3.018 3.018/3.018 Process 43397 exit (max_proofs) Tue Nov 16 11:31:43 2021 3.018/3.018 3.018/3.018 3.018/3.018 The problem is joinable. 3.018/3.018 3.018/3.018 Problem 1.1.4: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N4 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Huet Brute Force Joinability Processor: 3.018/3.018 That is a LHCP. Trying another procedure. 3.018/3.018 3.018/3.018 Problem 1.1.4: 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 Confluence Problem: 3.018/3.018 (VAR vNonEmpty:S M:S N:S) 3.018/3.018 (STRATEGY CONTEXTSENSITIVE 3.018/3.018 (U11 1) 3.018/3.018 (U12 1) 3.018/3.018 (U21 1) 3.018/3.018 (U22 1) 3.018/3.018 (plus 1 2) 3.018/3.018 (x 1 2) 3.018/3.018 (0) 3.018/3.018 (fSNonEmpty) 3.018/3.018 (s 1) 3.018/3.018 (tt) 3.018/3.018 ) 3.018/3.018 (RULES 3.018/3.018 U11(tt,M:S,N:S) -> U12(tt,M:S,N:S) 3.018/3.018 U12(tt,M:S,N:S) -> s(plus(N:S,M:S)) 3.018/3.018 U21(tt,M:S,N:S) -> U22(tt,M:S,N:S) 3.018/3.018 U22(tt,M:S,N:S) -> plus(x(N:S,M:S),N:S) 3.018/3.018 plus(N:S,0) -> N:S 3.018/3.018 plus(N:S,s(M:S)) -> U11(tt,M:S,N:S) 3.018/3.018 x(N:S,0) -> 0 3.018/3.018 x(N:S,s(M:S)) -> U21(tt,M:S,N:S) 3.018/3.018 ) 3.018/3.018 Critical Pairs: 3.018/3.018 | M:S \-> y:S => Not trivial, Not overlay, NW0, N4 3.018/3.018 Terminating:"YES" 3.018/3.018 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3.018/3.018 3.018/3.018 Prover9 LHCP Convergence Checker Processor: 3.018/3.018 formulas(sos). 3.018/3.018 %Reflexivity 3.018/3.018 reds(x,x). 3.018/3.018 3.018/3.018 %Transitivity 3.018/3.018 (red(x,y) & reds(y,z)) -> reds(x,z). 3.018/3.018 3.018/3.018 %Congruence 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 3.018/3.018 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 %Replacement 3.018/3.018 all M all N ( red(U11(tt,M,N),U12(tt,M,N)) ). 3.018/3.018 all M all N ( red(U12(tt,M,N),s(plus(N,M))) ). 3.018/3.018 all M all N ( red(U21(tt,M,N),U22(tt,M,N)) ). 3.018/3.018 all M all N ( red(U22(tt,M,N),plus(x(N,M),N)) ). 3.018/3.018 all N ( red(plus(N,0),N) ). 3.018/3.018 all M all N ( red(plus(N,s(M)),U11(tt,M,N)) ). 3.018/3.018 all N ( red(x(N,0),0) ). 3.018/3.018 all M all N ( red(x(N,s(M)),U21(tt,M,N)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 all M all y exists z ( red(M,y) -> (reds(x(c_N,s(y)),z) & reds(U21(tt,M,c_N),z)) ). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 Proof: 3.018/3.018 ============================== Prover9 =============================== 3.018/3.018 Prover9 (64) version 2009-11A, November 2009. 3.018/3.018 Process 43422 was started by ubuntu on ubuntu, 3.018/3.018 Tue Nov 16 11:31:43 2021 3.018/3.018 The command was "./prover9 -t 30 -f /tmp/prover943235-22.in". 3.018/3.018 ============================== end of head =========================== 3.018/3.018 3.018/3.018 ============================== INPUT ================================= 3.018/3.018 3.018/3.018 % Reading from file /tmp/prover943235-22.in 3.018/3.018 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). 3.018/3.018 red(x,y) & reds(y,z) -> reds(x,z). 3.018/3.018 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)). 3.018/3.018 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)). 3.018/3.018 red(x,y) -> red(plus(x,z2),plus(y,z2)). 3.018/3.018 red(x,y) -> red(plus(z1,x),plus(z1,y)). 3.018/3.018 red(x,y) -> red(x(x,z2),x(y,z2)). 3.018/3.018 red(x,y) -> red(x(z1,x),x(z1,y)). 3.018/3.018 red(x,y) -> red(s(x),s(y)). 3.018/3.018 (all M all N red(U11(tt,M,N),U12(tt,M,N))). 3.018/3.018 (all M all N red(U12(tt,M,N),s(plus(N,M)))). 3.018/3.018 (all M all N red(U21(tt,M,N),U22(tt,M,N))). 3.018/3.018 (all M all N red(U22(tt,M,N),plus(x(N,M),N))). 3.018/3.018 (all N red(plus(N,0),N)). 3.018/3.018 (all M all N red(plus(N,s(M)),U11(tt,M,N))). 3.018/3.018 (all N red(x(N,0),0)). 3.018/3.018 (all M all N red(x(N,s(M)),U21(tt,M,N))). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(goals). 3.018/3.018 (all M all y exists z (red(M,y) -> reds(x(c_N,s(y)),z) & reds(U21(tt,M,c_N),z))). 3.018/3.018 end_of_list. 3.018/3.018 assign(max_megs,-1). 3.018/3.018 set(quiet). 3.018/3.018 3.018/3.018 ============================== end of input ========================== 3.018/3.018 3.018/3.018 % From the command line: assign(max_seconds, 30). 3.018/3.018 3.018/3.018 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 3.018/3.018 3.018/3.018 % Formulas that are not ordinary clauses: 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 2 red(x,y) -> red(U11(x,z2,z3),U11(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 3 red(x,y) -> red(U12(x,z2,z3),U12(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 4 red(x,y) -> red(U21(x,z2,z3),U21(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 5 red(x,y) -> red(U22(x,z2,z3),U22(y,z2,z3)) # label(non_clause). [assumption]. 3.018/3.018 6 red(x,y) -> red(plus(x,z2),plus(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 7 red(x,y) -> red(plus(z1,x),plus(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 8 red(x,y) -> red(x(x,z2),x(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 9 red(x,y) -> red(x(z1,x),x(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 10 red(x,y) -> red(s(x),s(y)) # label(non_clause). [assumption]. 3.018/3.018 11 (all M all N red(U11(tt,M,N),U12(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 12 (all M all N red(U12(tt,M,N),s(plus(N,M)))) # label(non_clause). [assumption]. 3.018/3.018 13 (all M all N red(U21(tt,M,N),U22(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 14 (all M all N red(U22(tt,M,N),plus(x(N,M),N))) # label(non_clause). [assumption]. 3.018/3.018 15 (all N red(plus(N,0),N)) # label(non_clause). [assumption]. 3.018/3.018 16 (all M all N red(plus(N,s(M)),U11(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 17 (all N red(x(N,0),0)) # label(non_clause). [assumption]. 3.018/3.018 18 (all M all N red(x(N,s(M)),U21(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all M all y exists z (red(M,y) -> reds(x(c_N,s(y)),z) & reds(U21(tt,M,c_N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 3.018/3.018 ============================== end of process non-clausal formulas === 3.018/3.018 3.018/3.018 ============================== PROCESS INITIAL CLAUSES =============== 3.018/3.018 3.018/3.018 % Clauses before input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 reds(x,x). [assumption]. 3.018/3.018 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 red(x(x,0),0). [clausify(17)]. 3.018/3.018 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 red(c1,c2). [deny(19)]. 3.018/3.018 -reds(x(c_N,s(c2)),x) | -reds(U21(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== PREDICATE ELIMINATION ================= 3.018/3.018 3.018/3.018 ============================== end predicate elimination ============= 3.018/3.018 3.018/3.018 Auto_denials: (no changes). 3.018/3.018 3.018/3.018 Term ordering decisions: 3.018/3.018 3.018/3.018 kept: 20 reds(x,x). [assumption]. 3.018/3.018 kept: 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 kept: 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 kept: 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 kept: 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 kept: 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 kept: 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 kept: 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 kept: 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 kept: 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 kept: 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 kept: 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 kept: 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 kept: 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 kept: 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 kept: 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 kept: 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 kept: 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 kept: 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 kept: 39 red(c1,c2). [deny(19)]. 3.018/3.018 kept: 40 -reds(x(c_N,s(c2)),x) | -reds(U21(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 3.018/3.018 ============================== end of process initial clauses ======== 3.018/3.018 3.018/3.018 ============================== CLAUSES FOR SEARCH ==================== 3.018/3.018 3.018/3.018 % Clauses after input processing: 3.018/3.018 3.018/3.018 formulas(usable). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(sos). 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(x(c_N,s(c2)),x) | -reds(U21(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 formulas(demodulators). 3.018/3.018 end_of_list. 3.018/3.018 3.018/3.018 ============================== end of clauses for search ============= 3.018/3.018 3.018/3.018 ============================== SEARCH ================================ 3.018/3.018 3.018/3.018 % Starting search at 0.01 seconds. 3.018/3.018 3.018/3.018 given #1 (I,wt=3): 20 reds(x,x). [assumption]. 3.018/3.018 3.018/3.018 given #2 (I,wt=9): 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 3.018/3.018 given #3 (I,wt=12): 22 -red(x,y) | red(U11(x,z,u),U11(y,z,u)). [clausify(2)]. 3.018/3.018 3.018/3.018 given #4 (I,wt=12): 23 -red(x,y) | red(U12(x,z,u),U12(y,z,u)). [clausify(3)]. 3.018/3.018 3.018/3.018 given #5 (I,wt=12): 24 -red(x,y) | red(U21(x,z,u),U21(y,z,u)). [clausify(4)]. 3.018/3.018 3.018/3.018 given #6 (I,wt=12): 25 -red(x,y) | red(U22(x,z,u),U22(y,z,u)). [clausify(5)]. 3.018/3.018 3.018/3.018 given #7 (I,wt=10): 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 3.018/3.018 given #8 (I,wt=10): 27 -red(x,y) | red(plus(z,x),plus(z,y)). [clausify(7)]. 3.018/3.018 3.018/3.018 given #9 (I,wt=10): 28 -red(x,y) | red(x(x,z),x(y,z)). [clausify(8)]. 3.018/3.018 3.018/3.018 given #10 (I,wt=10): 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 3.018/3.018 given #11 (I,wt=8): 30 -red(x,y) | red(s(x),s(y)). [clausify(10)]. 3.018/3.018 3.018/3.018 given #12 (I,wt=9): 31 red(U11(tt,x,y),U12(tt,x,y)). [clausify(11)]. 3.018/3.018 3.018/3.018 given #13 (I,wt=9): 32 red(U12(tt,x,y),s(plus(y,x))). [clausify(12)]. 3.018/3.018 3.018/3.018 given #14 (I,wt=9): 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 3.018/3.018 given #15 (I,wt=10): 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 3.018/3.018 given #16 (I,wt=5): 35 red(plus(x,0),x). [clausify(15)]. 3.018/3.018 3.018/3.018 given #17 (I,wt=9): 36 red(plus(x,s(y)),U11(tt,y,x)). [clausify(16)]. 3.018/3.018 3.018/3.018 given #18 (I,wt=5): 37 red(x(x,0),0). [clausify(17)]. 3.018/3.018 3.018/3.018 given #19 (I,wt=9): 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 3.018/3.018 given #20 (I,wt=3): 39 red(c1,c2). [deny(19)]. 3.018/3.018 3.018/3.018 given #21 (I,wt=12): 40 -reds(x(c_N,s(c2)),x) | -reds(U21(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 3.018/3.018 given #22 (A,wt=11): 41 red(s(U11(tt,x,y)),s(U12(tt,x,y))). [ur(30,a,31,a)]. 3.018/3.018 3.018/3.018 given #23 (F,wt=9): 132 -reds(U21(tt,c1,c_N),x(c_N,s(c2))). [resolve(40,a,20,a)]. 3.018/3.018 3.018/3.018 given #24 (F,wt=9): 134 -reds(x(c_N,s(c2)),U21(tt,c1,c_N)). [resolve(40,b,20,a)]. 3.018/3.018 3.018/3.018 given #25 (F,wt=9): 146 -red(U21(tt,c1,c_N),x(c_N,s(c2))). [ur(21,b,20,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #26 (F,wt=9): 147 -reds(U22(tt,c1,c_N),x(c_N,s(c2))). [ur(21,a,33,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #27 (T,wt=3): 130 reds(c1,c2). [ur(21,a,39,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #28 (T,wt=5): 90 reds(plus(x,0),x). [ur(21,a,35,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #29 (T,wt=5): 110 reds(x(x,0),0). [ur(21,a,37,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #30 (T,wt=5): 121 red(s(c1),s(c2)). [ur(30,a,39,a)]. 3.018/3.018 3.018/3.018 given #31 (A,wt=13): 42 red(x(x,U11(tt,y,z)),x(x,U12(tt,y,z))). [ur(29,a,31,a)]. 3.018/3.018 3.018/3.018 given #32 (F,wt=9): 149 -red(x(c_N,s(c2)),U21(tt,c1,c_N)). [ur(21,b,20,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #33 (F,wt=9): 150 -reds(U21(tt,c2,c_N),U21(tt,c1,c_N)). [ur(21,a,38,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #34 (F,wt=9): 152 -red(U22(tt,c1,c_N),x(c_N,s(c2))). [ur(21,b,20,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #35 (F,wt=9): 183 -red(U21(tt,c2,c_N),U21(tt,c1,c_N)). [ur(21,b,20,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #36 (T,wt=5): 154 reds(plus(c1,0),c2). [ur(21,a,35,a,b,130,a)]. 3.018/3.018 3.018/3.018 given #37 (T,wt=5): 170 reds(s(c1),s(c2)). [ur(21,a,121,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #38 (T,wt=7): 81 red(s(plus(x,0)),s(x)). [ur(30,a,35,a)]. 3.018/3.018 3.018/3.018 given #39 (T,wt=7): 101 red(s(x(x,0)),s(0)). [ur(30,a,37,a)]. 3.018/3.018 3.018/3.018 given #40 (A,wt=13): 43 red(x(U11(tt,x,y),z),x(U12(tt,x,y),z)). [ur(28,a,31,a)]. 3.018/3.018 3.018/3.018 given #41 (F,wt=9): 184 -reds(U22(tt,c2,c_N),U21(tt,c1,c_N)). [ur(21,a,33,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #42 (F,wt=9): 220 -red(U22(tt,c2,c_N),U21(tt,c1,c_N)). [ur(21,b,20,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #43 (F,wt=10): 153 -reds(plus(x(c_N,c1),c_N),x(c_N,s(c2))). [ur(21,a,34,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #44 (F,wt=10): 221 -reds(plus(x(c_N,c2),c_N),U21(tt,c1,c_N)). [ur(21,a,34,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #45 (T,wt=7): 122 red(x(x,c1),x(x,c2)). [ur(29,a,39,a)]. 3.018/3.018 3.018/3.018 given #46 (T,wt=7): 123 red(x(c1,x),x(c2,x)). [ur(28,a,39,a)]. 3.018/3.018 3.018/3.018 given #47 (T,wt=7): 124 red(plus(x,c1),plus(x,c2)). [ur(27,a,39,a)]. 3.018/3.018 3.018/3.018 given #48 (T,wt=7): 125 red(plus(c1,x),plus(c2,x)). [ur(26,a,39,a)]. 3.018/3.018 3.018/3.018 given #49 (A,wt=13): 44 red(plus(x,U11(tt,y,z)),plus(x,U12(tt,y,z))). [ur(27,a,31,a)]. 3.018/3.018 3.018/3.018 given #50 (F,wt=10): 224 -red(plus(x(c_N,c1),c_N),x(c_N,s(c2))). [ur(21,b,20,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #51 (F,wt=10): 227 -red(plus(x(c_N,c2),c_N),U21(tt,c1,c_N)). [ur(21,b,20,a,c,221,a)]. 3.018/3.018 3.018/3.018 given #52 (F,wt=11): 157 -red(U22(tt,c1,c_N),plus(x(c_N,s(c2)),0)). [ur(21,b,90,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #53 (F,wt=11): 158 -red(x(c_N,s(c2)),plus(U21(tt,c1,c_N),0)). [ur(21,b,90,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #54 (T,wt=7): 155 reds(plus(plus(x,0),0),x). [ur(21,a,35,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #55 (T,wt=7): 160 reds(plus(x(x,0),0),0). [ur(21,a,35,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #56 (T,wt=6): 287 reds(U22(tt,0,0),0). [ur(21,a,34,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #57 (T,wt=6): 289 reds(U21(tt,0,0),0). [ur(21,a,33,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #58 (A,wt=13): 45 red(plus(U11(tt,x,y),z),plus(U12(tt,x,y),z)). [ur(26,a,31,a)]. 3.018/3.018 3.018/3.018 given #59 (F,wt=11): 159 -red(U21(tt,c1,c_N),plus(x(c_N,s(c2)),0)). [ur(21,b,90,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #60 (F,wt=11): 182 -red(U21(tt,c2,c_N),plus(U21(tt,c1,c_N),0)). [ur(21,b,90,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #61 (F,wt=11): 219 -red(U22(tt,c2,c_N),plus(U21(tt,c1,c_N),0)). [ur(21,b,90,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #62 (F,wt=12): 145 -red(U21(tt,c1,c_N),x) | -reds(x,x(c_N,s(c2))). [resolve(132,a,21,c)]. 3.018/3.018 3.018/3.018 given #63 (T,wt=6): 290 reds(x(0,s(0)),0). [ur(21,a,38,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #64 (T,wt=7): 161 red(s(s(c1)),s(s(c2))). [ur(30,a,121,a)]. 3.018/3.018 3.018/3.018 given #65 (T,wt=7): 185 reds(plus(plus(c1,0),0),c2). [ur(21,a,35,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #66 (T,wt=7): 186 reds(plus(s(c1),0),s(c2)). [ur(21,a,35,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #67 (A,wt=15): 46 red(U22(U11(tt,x,y),z,u),U22(U12(tt,x,y),z,u)). [ur(25,a,31,a)]. 3.018/3.018 3.018/3.018 given #68 (F,wt=12): 148 -red(x(c_N,s(c2)),x) | -reds(x,U21(tt,c1,c_N)). [resolve(134,a,21,c)]. 3.018/3.018 3.018/3.018 given #69 (F,wt=12): 151 -red(U22(tt,c1,c_N),x) | -reds(x,x(c_N,s(c2))). [resolve(147,a,21,c)]. 3.018/3.018 3.018/3.018 given #70 (F,wt=12): 181 -red(U21(tt,c2,c_N),x) | -reds(x,U21(tt,c1,c_N)). [resolve(150,a,21,c)]. 3.018/3.018 3.018/3.018 given #71 (F,wt=12): 218 -red(U22(tt,c2,c_N),x) | -reds(x,U21(tt,c1,c_N)). [resolve(184,a,21,c)]. 3.018/3.018 3.018/3.018 given #72 (T,wt=7): 196 reds(s(plus(c1,0)),s(c2)). [ur(21,a,81,a,b,170,a)]. 3.018/3.018 3.018/3.018 given #73 (T,wt=7): 197 reds(s(plus(x,0)),s(x)). [ur(21,a,81,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #74 (T,wt=7): 207 reds(s(x(x,0)),s(0)). [ur(21,a,101,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #75 (T,wt=7): 237 reds(x(x,c1),x(x,c2)). [ur(21,a,122,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #76 (A,wt=15): 47 red(U21(U11(tt,x,y),z,u),U21(U12(tt,x,y),z,u)). [ur(24,a,31,a)]. 3.018/3.018 3.018/3.018 given #77 (F,wt=12): 223 -red(plus(x(c_N,c1),c_N),plus(x(c_N,s(c2)),0)). [ur(21,b,90,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #78 (F,wt=12): 226 -red(plus(x(c_N,c2),c_N),plus(U21(tt,c1,c_N),0)). [ur(21,b,90,a,c,221,a)]. 3.018/3.018 3.018/3.018 given #79 (F,wt=12): 303 -reds(U21(x,c1,c_N),x(c_N,s(c2))) | -red(tt,x). [resolve(145,a,24,b)]. 3.018/3.018 3.018/3.018 given #80 (F,wt=12): 328 -reds(x(c_N,x),U21(tt,c1,c_N)) | -red(s(c2),x). [resolve(148,a,29,b)]. 3.018/3.018 3.018/3.018 given #81 (T,wt=7): 247 reds(x(c1,x),x(c2,x)). [ur(21,a,123,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #82 (T,wt=7): 257 reds(plus(x,c1),plus(x,c2)). [ur(21,a,124,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #83 (T,wt=7): 267 reds(plus(c1,x),plus(c2,x)). [ur(21,a,125,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #84 (T,wt=7): 315 reds(s(s(c1)),s(s(c2))). [ur(21,a,161,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #85 (A,wt=15): 48 red(U12(U11(tt,x,y),z,u),U12(U12(tt,x,y),z,u)). [ur(23,a,31,a)]. 3.018/3.018 3.018/3.018 given #86 (F,wt=12): 329 -reds(x(x,s(c2)),U21(tt,c1,c_N)) | -red(c_N,x). [resolve(148,a,28,b)]. 3.018/3.018 3.018/3.018 given #87 (F,wt=12): 331 -reds(U22(x,c1,c_N),x(c_N,s(c2))) | -red(tt,x). [resolve(151,a,25,b)]. 3.018/3.018 3.018/3.018 given #88 (F,wt=12): 333 -reds(U21(x,c2,c_N),U21(tt,c1,c_N)) | -red(tt,x). [resolve(181,a,24,b)]. 3.018/3.018 3.018/3.018 given #89 (F,wt=12): 335 -reds(U22(x,c2,c_N),U21(tt,c1,c_N)) | -red(tt,x). [resolve(218,a,25,b)]. 3.018/3.018 3.018/3.018 given #90 (T,wt=7): 339 reds(U12(tt,0,c1),s(c2)). [ur(21,a,32,a,b,196,a)]. 3.018/3.018 3.018/3.018 given #91 (T,wt=7): 342 reds(U12(tt,0,x),s(x)). [ur(21,a,32,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #92 (T,wt=7): 345 reds(x(c1,c1),x(c2,c2)). [ur(21,a,123,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #93 (T,wt=7): 363 reds(plus(c1,c1),plus(c2,c2)). [ur(21,a,125,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #94 (A,wt=15): 49 red(U11(U11(tt,x,y),z,u),U11(U12(tt,x,y),z,u)). [ur(22,a,31,a)]. 3.018/3.018 3.018/3.018 given #95 (F,wt=12): 360 -reds(x(c_N,s(x)),U21(tt,c1,c_N)) | -red(c2,x). [resolve(328,b,30,b)]. 3.018/3.018 3.018/3.018 given #96 (F,wt=13): 222 -red(plus(x(c_N,c1),c_N),x) | -reds(x,x(c_N,s(c2))). [resolve(153,a,21,c)]. 3.018/3.018 3.018/3.018 given #97 (F,wt=13): 225 -red(plus(x(c_N,c2),c_N),x) | -reds(x,U21(tt,c1,c_N)). [resolve(221,a,21,c)]. 3.018/3.018 3.018/3.018 given #98 (F,wt=13): 280 -red(U22(tt,c2,c_N),plus(plus(U21(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,184,a)]. 3.018/3.018 3.018/3.018 given #99 (T,wt=7): 386 reds(U11(tt,0,c1),s(c2)). [ur(21,a,31,a,b,339,a)]. 3.018/3.018 3.018/3.018 given #100 (T,wt=7): 388 reds(U11(tt,0,x),s(x)). [ur(21,a,31,a,b,342,a)]. 3.018/3.018 3.018/3.018 given #101 (T,wt=7): 408 reds(plus(c1,s(0)),s(c2)). [ur(21,a,36,a,b,386,a)]. 3.018/3.018 3.018/3.018 given #102 (T,wt=7): 410 reds(plus(x,s(0)),s(x)). [ur(21,a,36,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #103 (A,wt=9): 50 reds(U11(tt,x,y),U12(tt,x,y)). [ur(21,a,31,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #104 (F,wt=13): 282 -red(U21(tt,c2,c_N),plus(plus(U21(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,150,a)]. 3.018/3.018 3.018/3.018 given #105 (F,wt=13): 283 -red(U22(tt,c1,c_N),plus(plus(x(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,147,a)]. 3.018/3.018 3.018/3.018 given #106 (F,wt=13): 284 -red(x(c_N,s(c2)),plus(plus(U21(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,134,a)]. 3.018/3.018 3.018/3.018 given #107 (F,wt=13): 285 -red(U21(tt,c1,c_N),plus(plus(x(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,132,a)]. 3.018/3.018 3.018/3.018 given #108 (T,wt=8): 156 reds(U22(tt,x,0),x(0,x)). [ur(21,a,34,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #109 (T,wt=8): 288 reds(plus(U22(tt,0,0),0),0). [ur(21,a,35,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #110 (T,wt=8): 291 reds(plus(U21(tt,0,0),0),0). [ur(21,a,35,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #111 (T,wt=8): 305 reds(plus(x(0,s(0)),0),0). [ur(21,a,35,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #112 (A,wt=11): 51 red(s(U12(tt,x,y)),s(s(plus(y,x)))). [ur(30,a,32,a)]. 3.018/3.018 3.018/3.018 given #113 (F,wt=13): 402 -reds(plus(x(c_N,c1),x),x(c_N,s(c2))) | -red(c_N,x). [resolve(222,a,27,b)]. 3.018/3.018 3.018/3.018 given #114 (F,wt=13): 403 -reds(plus(x,c_N),x(c_N,s(c2))) | -red(x(c_N,c1),x). [resolve(222,a,26,b)]. 3.018/3.018 3.018/3.018 given #115 (F,wt=10): 435 -reds(plus(x(c_N,c2),c_N),x(c_N,s(c2))). [resolve(403,b,122,a)]. 3.018/3.018 3.018/3.018 given #116 (F,wt=10): 441 -red(plus(x(c_N,c2),c_N),x(c_N,s(c2))). [ur(21,b,20,a,c,435,a)]. 3.018/3.018 3.018/3.018 given #117 (T,wt=7): 422 reds(U22(tt,s(0),0),0). [ur(21,a,34,a,b,305,a)]. 3.018/3.018 3.018/3.018 given #118 (T,wt=7): 443 reds(U21(tt,s(0),0),0). [ur(21,a,33,a,b,422,a)]. 3.018/3.018 3.018/3.018 given #119 (T,wt=7): 444 reds(x(0,s(s(0))),0). [ur(21,a,38,a,b,443,a)]. 3.018/3.018 3.018/3.018 given #120 (T,wt=8): 418 reds(U21(tt,x,0),x(0,x)). [ur(21,a,33,a,b,156,a)]. 3.018/3.018 3.018/3.018 given #121 (A,wt=13): 52 red(x(x,U12(tt,y,z)),x(x,s(plus(z,y)))). [ur(29,a,32,a)]. 3.018/3.018 3.018/3.018 given #122 (F,wt=12): 440 -red(plus(x(c_N,c2),c_N),plus(x(c_N,s(c2)),0)). [ur(21,b,90,a,c,435,a)]. 3.018/3.018 3.018/3.018 given #123 (F,wt=13): 405 -reds(plus(x(c_N,c2),x),U21(tt,c1,c_N)) | -red(c_N,x). [resolve(225,a,27,b)]. 3.018/3.018 3.018/3.018 given #124 (F,wt=13): 406 -reds(plus(x,c_N),U21(tt,c1,c_N)) | -red(x(c_N,c2),x). [resolve(225,a,26,b)]. 3.018/3.018 3.018/3.018 given #125 (F,wt=13): 436 -reds(plus(x(c_N,x),c_N),x(c_N,s(c2))) | -red(c1,x). [resolve(403,b,29,b)]. 3.018/3.018 3.018/3.018 given #126 (T,wt=8): 447 reds(x(0,s(x)),x(0,x)). [ur(21,a,38,a,b,418,a)]. 3.018/3.018 3.018/3.018 given #127 (T,wt=9): 60 reds(U12(tt,x,y),s(plus(y,x))). [ur(21,a,32,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #128 (T,wt=9): 70 reds(U21(tt,x,y),U22(tt,x,y)). [ur(21,a,33,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #129 (T,wt=9): 82 red(x(x,plus(y,0)),x(x,y)). [ur(29,a,35,a)]. 3.018/3.018 3.018/3.018 given #130 (A,wt=13): 53 red(x(U12(tt,x,y),z),x(s(plus(y,x)),z)). [ur(28,a,32,a)]. 3.018/3.018 3.018/3.018 given #131 (F,wt=9): 469 -reds(x(c_N,s(c2)),U22(tt,c1,c_N)). [resolve(70,a,40,b)]. 3.018/3.018 3.018/3.018 given #132 (F,wt=9): 503 -red(x(c_N,s(c2)),U22(tt,c1,c_N)). [ur(21,b,20,a,c,469,a)]. 3.018/3.018 3.018/3.018 given #133 (F,wt=9): 504 -reds(U21(tt,c2,c_N),U22(tt,c1,c_N)). [ur(21,a,38,a,c,469,a)]. 3.018/3.018 3.018/3.018 given #134 (F,wt=9): 508 -red(U21(tt,c2,c_N),U22(tt,c1,c_N)). [ur(21,b,20,a,c,504,a)]. 3.018/3.018 3.018/3.018 given #135 (T,wt=7): 487 reds(x(x,plus(0,0)),0). [ur(21,a,82,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #136 (T,wt=8): 484 reds(x(0,plus(s(0),0)),0). [ur(21,a,82,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #137 (T,wt=9): 83 red(x(plus(x,0),y),x(x,y)). [ur(28,a,35,a)]. 3.018/3.018 3.018/3.018 given #138 (T,wt=8): 527 reds(x(plus(0,0),s(0)),0). [ur(21,a,83,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #139 (A,wt=13): 54 red(plus(x,U12(tt,y,z)),plus(x,s(plus(z,y)))). [ur(27,a,32,a)]. 3.018/3.018 3.018/3.018 given #140 (F,wt=9): 509 -reds(U22(tt,c2,c_N),U22(tt,c1,c_N)). [ur(21,a,33,a,c,504,a)]. 3.018/3.018 3.018/3.018 given #141 (F,wt=9): 547 -red(U22(tt,c2,c_N),U22(tt,c1,c_N)). [ur(21,b,20,a,c,509,a)]. 3.018/3.018 3.018/3.018 given #142 (F,wt=10): 548 -reds(plus(x(c_N,c2),c_N),U22(tt,c1,c_N)). [ur(21,a,34,a,c,509,a)]. 3.018/3.018 3.018/3.018 given #143 (F,wt=10): 552 -red(plus(x(c_N,c2),c_N),U22(tt,c1,c_N)). [ur(21,b,20,a,c,548,a)]. 3.018/3.018 3.018/3.018 given #144 (T,wt=9): 84 red(plus(x,plus(y,0)),plus(x,y)). [ur(27,a,35,a)]. 3.018/3.018 3.018/3.018 given #145 (T,wt=7): 574 reds(plus(c1,plus(0,0)),c2). [ur(21,a,84,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #146 (T,wt=7): 575 reds(plus(x,plus(0,0)),x). [ur(21,a,84,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #147 (T,wt=9): 85 red(plus(plus(x,0),y),plus(x,y)). [ur(26,a,35,a)]. 3.018/3.018 3.018/3.018 given #148 (A,wt=13): 55 red(plus(U12(tt,x,y),z),plus(s(plus(y,x)),z)). [ur(26,a,32,a)]. 3.018/3.018 3.018/3.018 given #149 (F,wt=11): 502 -red(x(c_N,s(c2)),plus(U22(tt,c1,c_N),0)). [ur(21,b,90,a,c,469,a)]. 3.018/3.018 3.018/3.018 given #150 (F,wt=11): 507 -red(U21(tt,c2,c_N),plus(U22(tt,c1,c_N),0)). [ur(21,b,90,a,c,504,a)]. 3.018/3.018 3.018/3.018 given #151 (F,wt=11): 546 -red(U22(tt,c2,c_N),plus(U22(tt,c1,c_N),0)). [ur(21,b,90,a,c,509,a)]. 3.018/3.018 3.018/3.018 given #152 (F,wt=12): 500 -red(x(c_N,s(c2)),x) | -reds(x,U22(tt,c1,c_N)). [resolve(469,a,21,c)]. 3.018/3.018 3.018/3.018 given #153 (T,wt=9): 100 reds(plus(x,s(y)),U11(tt,y,x)). [ur(21,a,36,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #154 (T,wt=9): 102 red(x(x,x(y,0)),x(x,0)). [ur(29,a,37,a)]. 3.018/3.018 3.018/3.018 given #155 (T,wt=7): 644 reds(x(x,x(y,0)),0). [ur(21,a,102,a,b,110,a)]. 3.018/3.018 3.018/3.018 given #156 (T,wt=9): 103 red(x(x(x,0),y),x(0,y)). [ur(28,a,37,a)]. 3.018/3.018 3.018/3.018 given #157 (A,wt=15): 56 red(U22(U12(tt,x,y),z,u),U22(s(plus(y,x)),z,u)). [ur(25,a,32,a)]. 3.018/3.018 3.018/3.018 given #158 (F,wt=12): 505 -red(U21(tt,c2,c_N),x) | -reds(x,U22(tt,c1,c_N)). [resolve(504,a,21,c)]. 3.018/3.018 3.018/3.018 given #159 (F,wt=12): 544 -red(U22(tt,c2,c_N),x) | -reds(x,U22(tt,c1,c_N)). [resolve(509,a,21,c)]. 3.018/3.018 3.018/3.018 given #160 (F,wt=12): 551 -red(plus(x(c_N,c2),c_N),plus(U22(tt,c1,c_N),0)). [ur(21,b,90,a,c,548,a)]. 3.018/3.018 3.018/3.018 given #161 (F,wt=12): 623 -reds(x(c_N,x),U22(tt,c1,c_N)) | -red(s(c2),x). [resolve(500,a,29,b)]. 3.018/3.018 3.018/3.018 given #162 (T,wt=8): 660 reds(x(x(x,0),s(0)),0). [ur(21,a,103,a,b,290,a)]. 3.018/3.018 3.018/3.018 given #163 (T,wt=9): 104 red(plus(x,x(y,0)),plus(x,0)). [ur(27,a,37,a)]. 3.018/3.018 3.018/3.018 given #164 (T,wt=7): 698 reds(plus(c1,x(x,0)),c2). [ur(21,a,104,a,b,154,a)]. 3.018/3.018 3.018/3.018 given #165 (T,wt=7): 699 reds(plus(x,x(y,0)),x). [ur(21,a,104,a,b,90,a)]. 3.018/3.018 3.018/3.018 given #166 (A,wt=15): 57 red(U21(U12(tt,x,y),z,u),U21(s(plus(y,x)),z,u)). [ur(24,a,32,a)]. 3.018/3.018 3.018/3.018 given #167 (F,wt=12): 624 -reds(x(x,s(c2)),U22(tt,c1,c_N)) | -red(c_N,x). [resolve(500,a,28,b)]. 3.018/3.018 3.018/3.018 given #168 (F,wt=12): 673 -reds(U21(x,c2,c_N),U22(tt,c1,c_N)) | -red(tt,x). [resolve(505,a,24,b)]. 3.018/3.018 3.018/3.018 given #169 (F,wt=12): 675 -reds(U22(x,c2,c_N),U22(tt,c1,c_N)) | -red(tt,x). [resolve(544,a,25,b)]. 3.018/3.018 3.018/3.018 given #170 (F,wt=12): 678 -reds(x(c_N,s(x)),U22(tt,c1,c_N)) | -red(c2,x). [resolve(623,b,30,b)]. 3.018/3.018 3.018/3.018 given #171 (T,wt=9): 105 red(plus(x(x,0),y),plus(0,y)). [ur(26,a,37,a)]. 3.018/3.018 3.018/3.018 given #172 (T,wt=9): 120 reds(x(x,s(y)),U21(tt,y,x)). [ur(21,a,38,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #173 (T,wt=9): 126 red(U22(c1,x,y),U22(c2,x,y)). [ur(25,a,39,a)]. 3.018/3.018 3.018/3.018 given #174 (T,wt=9): 127 red(U21(c1,x,y),U21(c2,x,y)). [ur(24,a,39,a)]. 3.018/3.018 3.018/3.018 given #175 (A,wt=15): 58 red(U12(U12(tt,x,y),z,u),U12(s(plus(y,x)),z,u)). [ur(23,a,32,a)]. 3.018/3.018 3.018/3.018 given #176 (F,wt=3): 747 -red(c2,c1). [resolve(120,a,360,a)]. 3.018/3.018 3.018/3.018 given #177 (F,wt=5): 748 -red(s(c2),s(c1)). [resolve(120,a,328,a)]. 3.018/3.018 3.018/3.018 given #178 (F,wt=9): 750 -red(U22(tt,c2,c_N),x(c_N,s(c1))). [resolve(120,a,218,b)]. 3.018/3.018 3.018/3.018 given #179 (F,wt=9): 751 -red(U21(tt,c2,c_N),x(c_N,s(c1))). [resolve(120,a,181,b)]. 3.018/3.018 3.018/3.018 given #180 (T,wt=9): 128 red(U12(c1,x,y),U12(c2,x,y)). [ur(23,a,39,a)]. 3.018/3.018 3.018/3.018 given #181 (T,wt=9): 129 red(U11(c1,x,y),U11(c2,x,y)). [ur(22,a,39,a)]. 3.018/3.018 3.018/3.018 given #182 (T,wt=9): 162 red(x(x,s(c1)),x(x,s(c2))). [ur(29,a,121,a)]. 3.018/3.018 3.018/3.018 given #183 (T,wt=8): 821 reds(x(0,s(c1)),x(0,c2)). [ur(21,a,162,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #184 (A,wt=15): 59 red(U11(U12(tt,x,y),z,u),U11(s(plus(y,x)),z,u)). [ur(22,a,32,a)]. 3.018/3.018 3.018/3.018 given #185 (F,wt=9): 752 -red(x(c_N,s(c2)),x(c_N,s(c1))). [resolve(120,a,148,b)]. 3.018/3.018 3.018/3.018 given #186 (F,wt=9): 753 -reds(U21(tt,c1,c_N),U21(tt,c2,c_N)). [resolve(120,a,40,a)]. 3.018/3.018 3.018/3.018 given #187 (F,wt=9): 844 -red(U21(tt,c1,c_N),U21(tt,c2,c_N)). [ur(21,b,20,a,c,753,a)]. 3.018/3.018 3.018/3.018 given #188 (F,wt=9): 845 -reds(U22(tt,c1,c_N),U21(tt,c2,c_N)). [ur(21,a,33,a,c,753,a)]. 3.018/3.018 3.018/3.018 given #189 (T,wt=9): 163 red(x(s(c1),x),x(s(c2),x)). [ur(28,a,121,a)]. 3.018/3.018 3.018/3.018 given #190 (T,wt=9): 164 red(plus(x,s(c1)),plus(x,s(c2))). [ur(27,a,121,a)]. 3.018/3.018 3.018/3.018 given #191 (T,wt=9): 165 red(plus(s(c1),x),plus(s(c2),x)). [ur(26,a,121,a)]. 3.018/3.018 3.018/3.018 given #192 (T,wt=9): 187 red(s(s(plus(x,0))),s(s(x))). [ur(30,a,81,a)]. 3.018/3.018 3.018/3.018 given #193 (A,wt=11): 61 red(s(U21(tt,x,y)),s(U22(tt,x,y))). [ur(30,a,33,a)]. 3.018/3.018 3.018/3.018 given #194 (F,wt=9): 851 -red(U22(tt,c1,c_N),U21(tt,c2,c_N)). [ur(21,b,20,a,c,845,a)]. 3.018/3.018 3.018/3.018 given #195 (F,wt=10): 749 -red(plus(x(c_N,c2),c_N),x(c_N,s(c1))). [resolve(120,a,225,b)]. 3.018/3.018 3.018/3.018 given #196 (F,wt=10): 852 -reds(plus(x(c_N,c1),c_N),U21(tt,c2,c_N)). [ur(21,a,34,a,c,845,a)]. 3.018/3.018 3.018/3.018 given #197 (F,wt=10): 916 -red(plus(x(c_N,c1),c_N),U21(tt,c2,c_N)). [ur(21,b,20,a,c,852,a)]. 3.018/3.018 3.018/3.018 given #198 (T,wt=9): 198 red(s(s(x(x,0))),s(s(0))). [ur(30,a,101,a)]. 3.018/3.018 3.018/3.018 given #199 (T,wt=9): 228 red(s(x(x,c1)),s(x(x,c2))). [ur(30,a,122,a)]. 3.018/3.018 3.018/3.018 given #200 (T,wt=9): 238 red(s(x(c1,x)),s(x(c2,x))). [ur(30,a,123,a)]. 3.018/3.018 3.018/3.018 given #201 (T,wt=9): 248 red(s(plus(x,c1)),s(plus(x,c2))). [ur(30,a,124,a)]. 3.018/3.018 3.018/3.018 given #202 (A,wt=13): 62 red(x(x,U21(tt,y,z)),x(x,U22(tt,y,z))). [ur(29,a,33,a)]. 3.018/3.018 3.018/3.018 given #203 (F,wt=11): 843 -red(U21(tt,c1,c_N),plus(U21(tt,c2,c_N),0)). [ur(21,b,90,a,c,753,a)]. 3.018/3.018 3.018/3.018 given #204 (F,wt=11): 850 -red(U22(tt,c1,c_N),plus(U21(tt,c2,c_N),0)). [ur(21,b,90,a,c,845,a)]. 3.018/3.018 3.018/3.018 given #205 (F,wt=12): 839 -red(U21(tt,c1,c_N),x) | -reds(x,U21(tt,c2,c_N)). [resolve(753,a,21,c)]. 3.018/3.018 3.018/3.018 given #206 (F,wt=12): 846 -red(U22(tt,c1,c_N),x) | -reds(x,U21(tt,c2,c_N)). [resolve(845,a,21,c)]. 3.018/3.018 3.018/3.018 given #207 (T,wt=9): 258 red(s(plus(c1,x)),s(plus(c2,x))). [ur(30,a,125,a)]. 3.018/3.018 3.018/3.018 given #208 (T,wt=9): 278 reds(plus(plus(plus(x,0),0),0),x). [ur(21,a,35,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #209 (T,wt=9): 286 reds(plus(plus(x(x,0),0),0),0). [ur(21,a,35,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #210 (T,wt=9): 306 red(s(s(s(c1))),s(s(s(c2)))). [ur(30,a,161,a)]. 3.018/3.018 3.018/3.018 given #211 (A,wt=13): 63 red(x(U21(tt,x,y),z),x(U22(tt,x,y),z)). [ur(28,a,33,a)]. 3.018/3.018 3.018/3.018 given #212 (F,wt=12): 915 -red(plus(x(c_N,c1),c_N),plus(U21(tt,c2,c_N),0)). [ur(21,b,90,a,c,852,a)]. 3.018/3.018 3.018/3.018 given #213 (F,wt=12): 968 -reds(U21(x,c1,c_N),U21(tt,c2,c_N)) | -red(tt,x). [resolve(839,a,24,b)]. 3.018/3.018 3.018/3.018 given #214 (F,wt=12): 970 -reds(U22(x,c1,c_N),U21(tt,c2,c_N)) | -red(tt,x). [resolve(846,a,25,b)]. 3.018/3.018 3.018/3.018 given #215 (F,wt=13): 437 -reds(plus(x(x,c1),c_N),x(c_N,s(c2))) | -red(c_N,x). [resolve(403,b,28,b)]. 3.018/3.018 3.018/3.018 given #216 (T,wt=9): 316 reds(plus(plus(plus(c1,0),0),0),c2). [ur(21,a,35,a,b,185,a)]. 3.018/3.018 3.018/3.018 given #217 (T,wt=9): 317 reds(plus(plus(s(c1),0),0),s(c2)). [ur(21,a,35,a,b,186,a)]. 3.018/3.018 3.018/3.018 given #218 (T,wt=9): 337 reds(s(plus(plus(c1,0),0)),s(c2)). [ur(21,a,81,a,b,196,a)]. 3.018/3.018 3.018/3.018 given #219 (T,wt=9): 338 reds(plus(s(plus(c1,0)),0),s(c2)). [ur(21,a,35,a,b,196,a)]. 3.018/3.018 3.018/3.018 given #220 (A,wt=13): 64 red(plus(x,U21(tt,y,z)),plus(x,U22(tt,y,z))). [ur(27,a,33,a)]. 3.018/3.018 3.018/3.018 given #221 (F,wt=13): 438 -red(plus(x(c_N,c2),c_N),x) | -reds(x,x(c_N,s(c2))). [resolve(435,a,21,c)]. 3.018/3.018 3.018/3.018 given #222 (F,wt=13): 462 -reds(plus(x(c_N,x),c_N),U21(tt,c1,c_N)) | -red(c2,x). [resolve(406,b,29,b)]. 3.018/3.018 3.018/3.018 given #223 (F,wt=13): 463 -reds(plus(x(x,c2),c_N),U21(tt,c1,c_N)) | -red(c_N,x). [resolve(406,b,28,b)]. 3.018/3.018 3.018/3.018 given #224 (F,wt=13): 501 -red(x(c_N,s(c2)),plus(plus(U22(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,469,a)]. 3.018/3.018 3.018/3.018 given #225 (T,wt=9): 340 reds(s(plus(plus(x,0),0)),s(x)). [ur(21,a,81,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #226 (T,wt=9): 341 reds(plus(s(plus(x,0)),0),s(x)). [ur(21,a,35,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #227 (T,wt=9): 343 reds(s(plus(x(x,0),0)),s(0)). [ur(21,a,81,a,b,207,a)]. 3.018/3.018 3.018/3.018 given #228 (T,wt=9): 344 reds(plus(s(x(x,0)),0),s(0)). [ur(21,a,35,a,b,207,a)]. 3.018/3.018 3.018/3.018 given #229 (A,wt=13): 65 red(plus(U21(tt,x,y),z),plus(U22(tt,x,y),z)). [ur(26,a,33,a)]. 3.018/3.018 3.018/3.018 given #230 (F,wt=13): 506 -red(U21(tt,c2,c_N),plus(plus(U22(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,504,a)]. 3.018/3.018 3.018/3.018 given #231 (F,wt=13): 545 -red(U22(tt,c2,c_N),plus(plus(U22(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,509,a)]. 3.018/3.018 3.018/3.018 given #232 (F,wt=13): 549 -red(plus(x(c_N,c2),c_N),x) | -reds(x,U22(tt,c1,c_N)). [resolve(548,a,21,c)]. 3.018/3.018 3.018/3.018 given #233 (F,wt=13): 581 -red(U22(tt,c2,c_N),plus(U21(tt,c1,c_N),plus(0,0))). [resolve(575,a,218,b)]. 3.018/3.018 3.018/3.018 given #234 (T,wt=9): 347 reds(plus(x(x,c1),0),x(x,c2)). [ur(21,a,35,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #235 (T,wt=8): 1089 reds(U22(tt,c1,0),x(0,c2)). [ur(21,a,34,a,b,347,a)]. 3.018/3.018 3.018/3.018 given #236 (T,wt=8): 1091 reds(U21(tt,c1,0),x(0,c2)). [ur(21,a,33,a,b,1089,a)]. 3.018/3.018 3.018/3.018 given #237 (T,wt=9): 362 reds(plus(x(c1,x),0),x(c2,x)). [ur(21,a,35,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #238 (A,wt=15): 66 red(U22(U21(tt,x,y),z,u),U22(U22(tt,x,y),z,u)). [ur(25,a,33,a)]. 3.018/3.018 3.018/3.018 given #239 (F,wt=13): 582 -red(U21(tt,c2,c_N),plus(U21(tt,c1,c_N),plus(0,0))). [resolve(575,a,181,b)]. 3.018/3.018 3.018/3.018 given #240 (F,wt=13): 583 -red(U22(tt,c1,c_N),plus(x(c_N,s(c2)),plus(0,0))). [resolve(575,a,151,b)]. 3.018/3.018 3.018/3.018 given #241 (F,wt=13): 584 -red(x(c_N,s(c2)),plus(U21(tt,c1,c_N),plus(0,0))). [resolve(575,a,148,b)]. 3.018/3.018 3.018/3.018 given #242 (F,wt=13): 585 -red(U21(tt,c1,c_N),plus(x(c_N,s(c2)),plus(0,0))). [resolve(575,a,145,b)]. 3.018/3.018 3.018/3.018 given #243 (T,wt=9): 365 reds(plus(plus(x,c1),0),plus(x,c2)). [ur(21,a,35,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #244 (T,wt=9): 368 reds(plus(plus(c1,x),0),plus(c2,x)). [ur(21,a,35,a,b,267,a)]. 3.018/3.018 3.018/3.018 given #245 (T,wt=9): 369 reds(s(plus(s(c1),0)),s(s(c2))). [ur(21,a,81,a,b,315,a)]. 3.018/3.018 3.018/3.018 given #246 (T,wt=9): 370 reds(plus(s(s(c1)),0),s(s(c2))). [ur(21,a,35,a,b,315,a)]. 3.018/3.018 3.018/3.018 given #247 (A,wt=15): 67 red(U21(U21(tt,x,y),z,u),U21(U22(tt,x,y),z,u)). [ur(24,a,33,a)]. 3.018/3.018 3.018/3.018 given #248 (F,wt=13): 591 -red(U22(tt,c2,c_N),plus(U22(tt,c1,c_N),plus(0,0))). [ur(21,b,575,a,c,509,a)]. 3.018/3.018 3.018/3.018 given #249 (F,wt=13): 592 -red(U21(tt,c2,c_N),plus(U22(tt,c1,c_N),plus(0,0))). [ur(21,b,575,a,c,504,a)]. 3.018/3.018 3.018/3.018 given #250 (F,wt=13): 593 -red(x(c_N,s(c2)),plus(U22(tt,c1,c_N),plus(0,0))). [ur(21,b,575,a,c,469,a)]. 3.018/3.018 3.018/3.018 given #251 (F,wt=13): 703 -red(U22(tt,c2,c_N),plus(U22(tt,c1,c_N),x(x,0))). [resolve(699,a,544,b)]. 3.018/3.018 3.018/3.018 given #252 (T,wt=9): 385 reds(plus(U12(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,339,a)]. 3.018/3.018 3.018/3.018 given #253 (T,wt=9): 387 reds(plus(U12(tt,0,x),0),s(x)). [ur(21,a,35,a,b,342,a)]. 3.018/3.018 3.018/3.018 given #254 (T,wt=9): 389 reds(plus(x(c1,c1),0),x(c2,c2)). [ur(21,a,35,a,b,345,a)]. 3.018/3.018 3.018/3.018 given #255 (T,wt=9): 390 reds(plus(plus(c1,c1),0),plus(c2,c2)). [ur(21,a,35,a,b,363,a)]. 3.018/3.018 3.018/3.018 given #256 (A,wt=15): 68 red(U12(U21(tt,x,y),z,u),U12(U22(tt,x,y),z,u)). [ur(23,a,33,a)]. 3.018/3.018 3.018/3.018 given #257 (F,wt=13): 704 -red(U21(tt,c2,c_N),plus(U22(tt,c1,c_N),x(x,0))). [resolve(699,a,505,b)]. 3.018/3.018 3.018/3.018 given #258 (F,wt=13): 705 -red(x(c_N,s(c2)),plus(U22(tt,c1,c_N),x(x,0))). [resolve(699,a,500,b)]. 3.018/3.018 3.018/3.018 given #259 (F,wt=13): 708 -red(U22(tt,c2,c_N),plus(U21(tt,c1,c_N),x(x,0))). [resolve(699,a,218,b)]. 3.018/3.018 3.018/3.018 given #260 (F,wt=13): 709 -red(U21(tt,c2,c_N),plus(U21(tt,c1,c_N),x(x,0))). [resolve(699,a,181,b)]. 3.018/3.018 3.018/3.018 given #261 (T,wt=9): 409 reds(plus(U11(tt,0,c1),0),s(c2)). [ur(21,a,35,a,b,386,a)]. 3.018/3.018 3.018/3.018 given #262 (T,wt=9): 411 reds(plus(U11(tt,0,x),0),s(x)). [ur(21,a,35,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #263 (T,wt=9): 412 reds(plus(plus(c1,s(0)),0),s(c2)). [ur(21,a,35,a,b,408,a)]. 3.018/3.018 3.018/3.018 given #264 (T,wt=9): 414 reds(plus(plus(x,s(0)),0),s(x)). [ur(21,a,35,a,b,410,a)]. 3.018/3.018 3.018/3.018 given #265 (A,wt=15): 69 red(U11(U21(tt,x,y),z,u),U11(U22(tt,x,y),z,u)). [ur(22,a,33,a)]. 3.018/3.018 3.018/3.018 given #266 (F,wt=13): 710 -red(U22(tt,c1,c_N),plus(x(c_N,s(c2)),x(x,0))). [resolve(699,a,151,b)]. 3.018/3.018 3.018/3.018 given #267 (F,wt=13): 711 -red(x(c_N,s(c2)),plus(U21(tt,c1,c_N),x(x,0))). [resolve(699,a,148,b)]. 3.018/3.018 3.018/3.018 given #268 (F,wt=13): 712 -red(U21(tt,c1,c_N),plus(x(c_N,s(c2)),x(x,0))). [resolve(699,a,145,b)]. 3.018/3.018 3.018/3.018 given #269 (F,wt=13): 840 -red(U21(tt,c1,c_N),plus(U21(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,753,a)]. 3.018/3.018 3.018/3.018 given #270 (T,wt=9): 416 reds(plus(x,s(y)),U12(tt,y,x)). [ur(21,a,36,a,b,50,a)]. 3.018/3.018 3.018/3.018 given #271 (T,wt=9): 442 reds(plus(U22(tt,s(0),0),0),0). [ur(21,a,35,a,b,422,a)]. 3.018/3.018 3.018/3.018 given #272 (T,wt=9): 445 reds(plus(U21(tt,s(0),0),0),0). [ur(21,a,35,a,b,443,a)]. 3.018/3.018 3.018/3.018 given #273 (T,wt=9): 446 reds(plus(x(0,s(s(0))),0),0). [ur(21,a,35,a,b,444,a)]. 3.018/3.018 3.018/3.018 given #274 (A,wt=12): 71 red(s(U22(tt,x,y)),s(plus(x(y,x),y))). [ur(30,a,34,a)]. 3.018/3.018 3.018/3.018 given #275 (F,wt=13): 841 -red(U21(tt,c1,c_N),plus(U21(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,753,a)]. 3.018/3.018 3.018/3.018 given #276 (F,wt=13): 842 -red(U21(tt,c1,c_N),plus(plus(U21(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,753,a)]. 3.018/3.018 3.018/3.018 given #277 (F,wt=13): 847 -red(U22(tt,c1,c_N),plus(U21(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,845,a)]. 3.018/3.018 3.018/3.018 given #278 (F,wt=13): 848 -red(U22(tt,c1,c_N),plus(U21(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,845,a)]. 3.018/3.018 3.018/3.018 given #279 (T,wt=8): 1193 reds(U22(tt,s(s(0)),0),0). [ur(21,a,34,a,b,446,a)]. 3.018/3.018 3.018/3.018 given #280 (T,wt=8): 1203 reds(s(U22(tt,0,0)),s(0)). [ur(21,a,71,a,b,343,a)]. 3.018/3.018 3.018/3.018 given #281 (T,wt=8): 1207 reds(U21(tt,s(s(0)),0),0). [ur(21,a,33,a,b,1193,a)]. 3.018/3.018 3.018/3.018 given #282 (T,wt=8): 1209 reds(s(U21(tt,0,0)),s(0)). [ur(21,a,61,a,b,1203,a)]. 3.018/3.018 3.018/3.018 given #283 (A,wt=14): 72 red(x(x,U22(tt,y,z)),x(x,plus(x(z,y),z))). [ur(29,a,34,a)]. 3.018/3.018 3.018/3.018 given #284 (F,wt=13): 849 -red(U22(tt,c1,c_N),plus(plus(U21(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,845,a)]. 3.018/3.018 3.018/3.018 given #285 (F,wt=13): 911 -red(plus(x(c_N,c1),c_N),x) | -reds(x,U21(tt,c2,c_N)). [resolve(852,a,21,c)]. 3.018/3.018 3.018/3.018 given #286 (F,wt=13): 1051 -reds(plus(x(c_N,c2),x),x(c_N,s(c2))) | -red(c_N,x). [resolve(438,a,27,b)]. 3.018/3.018 3.018/3.018 given #287 (F,wt=13): 1052 -reds(plus(x,c_N),x(c_N,s(c2))) | -red(x(c_N,c2),x). [resolve(438,a,26,b)]. 3.018/3.018 3.018/3.018 given #288 (T,wt=8): 1211 reds(x(0,s(s(s(0)))),0). [ur(21,a,38,a,b,1207,a)]. 3.018/3.018 3.018/3.018 given #289 (T,wt=9): 468 reds(U11(tt,x,y),s(plus(y,x))). [ur(21,a,31,a,b,60,a)]. 3.018/3.018 3.018/3.018 given #290 (T,wt=9): 470 reds(x(x,s(y)),U22(tt,y,x)). [ur(21,a,38,a,b,70,a)]. 3.018/3.018 3.018/3.018 given #291 (T,wt=9): 482 reds(x(0,plus(s(s(0)),0)),0). [ur(21,a,82,a,b,444,a)]. 3.018/3.018 3.018/3.018 given #292 (A,wt=14): 73 red(x(U22(tt,x,y),z),x(plus(x(y,x),y),z)). [ur(28,a,34,a)]. 3.018/3.018 3.018/3.018 given #293 (F,wt=9): 1239 -reds(U21(tt,c1,c_N),U22(tt,c2,c_N)). [resolve(470,a,40,a)]. 3.018/3.018 3.018/3.018 given #294 (F,wt=9): 1274 -red(U21(tt,c1,c_N),U22(tt,c2,c_N)). [ur(21,b,20,a,c,1239,a)]. 3.018/3.018 3.018/3.018 given #295 (F,wt=9): 1275 -reds(U22(tt,c1,c_N),U22(tt,c2,c_N)). [ur(21,a,33,a,c,1239,a)]. 3.018/3.018 3.018/3.018 given #296 (F,wt=9): 1282 -red(U22(tt,c1,c_N),U22(tt,c2,c_N)). [ur(21,b,20,a,c,1275,a)]. 3.018/3.018 3.018/3.018 given #297 (T,wt=9): 483 reds(x(c1,plus(c1,0)),x(c2,c2)). [ur(21,a,82,a,b,345,a)]. 3.018/3.018 3.018/3.018 given #298 (T,wt=9): 485 reds(x(c1,plus(x,0)),x(c2,x)). [ur(21,a,82,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #299 (T,wt=9): 486 reds(x(x,plus(c1,0)),x(x,c2)). [ur(21,a,82,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #300 (T,wt=9): 488 reds(x(x,plus(y,0)),x(x,y)). [ur(21,a,82,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #301 (A,wt=14): 74 red(plus(x,U22(tt,y,z)),plus(x,plus(x(z,y),z))). [ur(27,a,34,a)]. 3.018/3.018 3.018/3.018 given #302 (F,wt=10): 1283 -reds(plus(x(c_N,c1),c_N),U22(tt,c2,c_N)). [ur(21,a,34,a,c,1275,a)]. 3.018/3.018 3.018/3.018 given #303 (F,wt=10): 1331 -red(plus(x(c_N,c1),c_N),U22(tt,c2,c_N)). [ur(21,b,20,a,c,1283,a)]. 3.018/3.018 3.018/3.018 given #304 (F,wt=11): 1273 -red(U21(tt,c1,c_N),plus(U22(tt,c2,c_N),0)). [ur(21,b,90,a,c,1239,a)]. 3.018/3.018 3.018/3.018 given #305 (F,wt=11): 1281 -red(U22(tt,c1,c_N),plus(U22(tt,c2,c_N),0)). [ur(21,b,90,a,c,1275,a)]. 3.018/3.018 3.018/3.018 given #306 (T,wt=9): 510 reds(x(x,plus(plus(0,0),0)),0). [ur(21,a,82,a,b,487,a)]. 3.018/3.018 3.018/3.018 given #307 (T,wt=9): 511 reds(plus(x(x,plus(0,0)),0),0). [ur(21,a,35,a,b,487,a)]. 3.018/3.018 3.018/3.018 given #308 (T,wt=8): 1337 reds(U22(tt,plus(0,0),0),0). [ur(21,a,34,a,b,511,a)]. 3.018/3.018 3.018/3.018 given #309 (T,wt=8): 1339 reds(U21(tt,plus(0,0),0),0). [ur(21,a,33,a,b,1337,a)]. 3.018/3.018 3.018/3.018 given #310 (A,wt=14): 75 red(plus(U22(tt,x,y),z),plus(plus(x(y,x),y),z)). [ur(26,a,34,a)]. 3.018/3.018 3.018/3.018 given #311 (F,wt=11): 1302 -red(U22(tt,c1,c_N),x(c_N,plus(s(c2),0))). [resolve(488,a,151,b)]. 3.018/3.018 3.018/3.018 given #312 (F,wt=11): 1303 -red(U21(tt,c1,c_N),x(c_N,plus(s(c2),0))). [resolve(488,a,145,b)]. 3.018/3.018 3.018/3.018 given #313 (F,wt=12): 1268 -red(U21(tt,c1,c_N),x) | -reds(x,U22(tt,c2,c_N)). [resolve(1239,a,21,c)]. 3.018/3.018 3.018/3.018 given #314 (F,wt=12): 1276 -red(U22(tt,c1,c_N),x) | -reds(x,U22(tt,c2,c_N)). [resolve(1275,a,21,c)]. 3.018/3.018 3.018/3.018 given #315 (T,wt=8): 1340 reds(x(0,s(plus(0,0))),0). [ur(21,a,38,a,b,1339,a)]. 3.018/3.018 3.018/3.018 given #316 (T,wt=8): 1368 reds(x(0,U12(tt,0,0)),0). [ur(21,a,52,a,b,1340,a)]. 3.018/3.018 3.018/3.018 given #317 (T,wt=8): 1373 reds(x(0,U11(tt,0,0)),0). [ur(21,a,42,a,b,1368,a)]. 3.018/3.018 3.018/3.018 given #318 (T,wt=9): 525 reds(x(plus(0,0),s(s(0))),0). [ur(21,a,83,a,b,444,a)]. 3.018/3.018 3.018/3.018 given #319 (A,wt=16): 76 red(U22(U22(tt,x,y),z,u),U22(plus(x(y,x),y),z,u)). [ur(25,a,34,a)]. 3.018/3.018 3.018/3.018 given #320 (F,wt=12): 1300 -red(plus(x(c_N,c2),c_N),x(c_N,plus(s(c2),0))). [resolve(488,a,438,b)]. 3.018/3.018 3.018/3.018 given #321 (F,wt=12): 1301 -red(plus(x(c_N,c1),c_N),x(c_N,plus(s(c2),0))). [resolve(488,a,222,b)]. 3.018/3.018 3.018/3.018 given #322 (F,wt=12): 1330 -red(plus(x(c_N,c1),c_N),plus(U22(tt,c2,c_N),0)). [ur(21,b,90,a,c,1283,a)]. 3.018/3.018 3.018/3.018 given #323 (F,wt=12): 1361 -reds(U21(x,c1,c_N),U22(tt,c2,c_N)) | -red(tt,x). [resolve(1268,a,24,b)]. 3.018/3.018 3.018/3.018 given #324 (T,wt=9): 526 reds(x(plus(c1,0),c1),x(c2,c2)). [ur(21,a,83,a,b,345,a)]. 3.018/3.018 3.018/3.018 given #325 (T,wt=9): 528 reds(x(plus(c1,0),x),x(c2,x)). [ur(21,a,83,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #326 (T,wt=9): 529 reds(x(plus(x,0),c1),x(x,c2)). [ur(21,a,83,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #327 (T,wt=9): 530 reds(x(plus(x,0),y),x(x,y)). [ur(21,a,83,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #328 (A,wt=16): 77 red(U21(U22(tt,x,y),z,u),U21(plus(x(y,x),y),z,u)). [ur(24,a,34,a)]. 3.018/3.018 3.018/3.018 given #329 (F,wt=11): 1407 -red(U22(tt,c1,c_N),x(plus(c_N,0),s(c2))). [resolve(530,a,151,b)]. 3.018/3.018 3.018/3.018 given #330 (F,wt=11): 1408 -red(U21(tt,c1,c_N),x(plus(c_N,0),s(c2))). [resolve(530,a,145,b)]. 3.018/3.018 3.018/3.018 given #331 (F,wt=12): 1363 -reds(U22(x,c1,c_N),U22(tt,c2,c_N)) | -red(tt,x). [resolve(1276,a,25,b)]. 3.018/3.018 3.018/3.018 given #332 (F,wt=12): 1405 -red(plus(x(c_N,c2),c_N),x(plus(c_N,0),s(c2))). [resolve(530,a,438,b)]. 3.018/3.018 3.018/3.018 given #333 (T,wt=9): 562 reds(plus(x,plus(s(0),0)),s(x)). [ur(21,a,84,a,b,410,a)]. 3.018/3.018 3.018/3.018 given #334 (T,wt=9): 563 reds(plus(c1,plus(s(0),0)),s(c2)). [ur(21,a,84,a,b,408,a)]. 3.018/3.018 3.018/3.018 given #335 (T,wt=9): 564 reds(plus(c1,plus(c1,0)),plus(c2,c2)). [ur(21,a,84,a,b,363,a)]. 3.018/3.018 3.018/3.018 given #336 (T,wt=9): 568 reds(plus(c1,plus(x,0)),plus(c2,x)). [ur(21,a,84,a,b,267,a)]. 3.018/3.018 3.018/3.018 given #337 (A,wt=16): 78 red(U12(U22(tt,x,y),z,u),U12(plus(x(y,x),y),z,u)). [ur(23,a,34,a)]. 3.018/3.018 3.018/3.018 given #338 (F,wt=12): 1406 -red(plus(x(c_N,c1),c_N),x(plus(c_N,0),s(c2))). [resolve(530,a,222,b)]. 3.018/3.018 3.018/3.018 given #339 (F,wt=13): 1083 -reds(plus(x(c_N,c2),x),U22(tt,c1,c_N)) | -red(c_N,x). [resolve(549,a,27,b)]. 3.018/3.018 3.018/3.018 given #340 (F,wt=13): 1084 -reds(plus(x,c_N),U22(tt,c1,c_N)) | -red(x(c_N,c2),x). [resolve(549,a,26,b)]. 3.018/3.018 3.018/3.018 given #341 (F,wt=13): 1226 -reds(plus(x(c_N,c1),x),U21(tt,c2,c_N)) | -red(c_N,x). [resolve(911,a,27,b)]. 3.018/3.018 3.018/3.018 given #342 (T,wt=9): 569 reds(plus(x,plus(c1,0)),plus(x,c2)). [ur(21,a,84,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #343 (T,wt=9): 570 reds(plus(s(c1),plus(0,0)),s(c2)). [ur(21,a,84,a,b,186,a)]. 3.018/3.018 3.018/3.018 given #344 (T,wt=9): 571 reds(plus(plus(c1,0),plus(0,0)),c2). [ur(21,a,84,a,b,185,a)]. 3.018/3.018 3.018/3.018 given #345 (T,wt=9): 572 reds(plus(x(x,0),plus(0,0)),0). [ur(21,a,84,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #346 (A,wt=16): 79 red(U11(U22(tt,x,y),z,u),U11(plus(x(y,x),y),z,u)). [ur(22,a,34,a)]. 3.018/3.018 3.018/3.018 given #347 (F,wt=13): 1227 -reds(plus(x,c_N),U21(tt,c2,c_N)) | -red(x(c_N,c1),x). [resolve(911,a,26,b)]. 3.018/3.018 3.018/3.018 given #348 (F,wt=10): 1492 -reds(plus(x(c_N,c2),c_N),U21(tt,c2,c_N)). [resolve(1227,b,122,a)]. 3.018/3.018 3.018/3.018 given #349 (F,wt=10): 1501 -red(plus(x(c_N,c2),c_N),U21(tt,c2,c_N)). [ur(21,b,20,a,c,1492,a)]. 3.018/3.018 3.018/3.018 given #350 (F,wt=12): 1500 -red(plus(x(c_N,c2),c_N),plus(U21(tt,c2,c_N),0)). [ur(21,b,90,a,c,1492,a)]. 3.018/3.018 3.018/3.018 given #351 (T,wt=8): 1480 reds(U22(tt,0,plus(0,0)),0). [ur(21,a,34,a,b,572,a)]. 3.018/3.018 3.018/3.018 given #352 (T,wt=8): 1503 reds(U21(tt,0,plus(0,0)),0). [ur(21,a,33,a,b,1480,a)]. 3.018/3.018 3.018/3.018 given #353 (T,wt=9): 573 reds(plus(plus(x,0),plus(0,0)),x). [ur(21,a,84,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #354 (T,wt=9): 576 reds(plus(x,plus(y,0)),plus(x,y)). [ur(21,a,84,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #355 (A,wt=10): 80 reds(U22(tt,x,y),plus(x(y,x),y)). [ur(21,a,34,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #356 (F,wt=13): 1231 -reds(plus(x(c_N,x),c_N),x(c_N,s(c2))) | -red(c2,x). [resolve(1052,b,29,b)]. 3.018/3.018 3.018/3.018 given #357 (F,wt=13): 1232 -reds(plus(x(x,c2),c_N),x(c_N,s(c2))) | -red(c_N,x). [resolve(1052,b,28,b)]. 3.018/3.018 3.018/3.018 given #358 (F,wt=13): 1269 -red(U21(tt,c1,c_N),plus(U22(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,1239,a)]. 3.018/3.018 3.018/3.018 given #359 (F,wt=13): 1270 -red(U21(tt,c1,c_N),plus(U22(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,1239,a)]. 3.018/3.018 3.018/3.018 given #360 (T,wt=9): 577 reds(plus(c1,plus(plus(0,0),0)),c2). [ur(21,a,84,a,b,574,a)]. 3.018/3.018 3.018/3.018 given #361 (T,wt=9): 578 reds(plus(plus(c1,plus(0,0)),0),c2). [ur(21,a,35,a,b,574,a)]. 3.018/3.018 3.018/3.018 given #362 (T,wt=9): 586 reds(plus(x,plus(plus(0,0),0)),x). [ur(21,a,84,a,b,575,a)]. 3.018/3.018 3.018/3.018 given #363 (T,wt=9): 588 reds(plus(plus(x,plus(0,0)),0),x). [ur(21,a,35,a,b,575,a)]. 3.018/3.018 3.018/3.018 given #364 (A,wt=11): 86 red(U22(plus(x,0),y,z),U22(x,y,z)). [ur(25,a,35,a)]. 3.018/3.018 3.018/3.018 given #365 (F,wt=13): 1272 -red(U21(tt,c1,c_N),plus(plus(U22(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1239,a)]. 3.018/3.018 3.018/3.018 given #366 (F,wt=13): 1277 -red(U22(tt,c1,c_N),plus(U22(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,1275,a)]. 3.018/3.018 3.018/3.018 given #367 (F,wt=13): 1278 -red(U22(tt,c1,c_N),plus(U22(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,1275,a)]. 3.018/3.018 3.018/3.018 given #368 (F,wt=13): 1280 -red(U22(tt,c1,c_N),plus(plus(U22(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1275,a)]. 3.018/3.018 3.018/3.018 given #369 (T,wt=8): 1609 reds(U22(plus(tt,0),0,0),0). [ur(21,a,86,a,b,287,a)]. 3.018/3.018 3.018/3.018 given #370 (T,wt=9): 604 reds(plus(plus(x,0),s(0)),s(x)). [ur(21,a,85,a,b,410,a)]. 3.018/3.018 3.018/3.018 given #371 (T,wt=9): 605 reds(plus(plus(c1,0),s(0)),s(c2)). [ur(21,a,85,a,b,408,a)]. 3.018/3.018 3.018/3.018 given #372 (T,wt=9): 606 reds(plus(plus(c1,0),c1),plus(c2,c2)). [ur(21,a,85,a,b,363,a)]. 3.018/3.018 3.018/3.018 given #373 (A,wt=11): 87 red(U21(plus(x,0),y,z),U21(x,y,z)). [ur(24,a,35,a)]. 3.018/3.018 3.018/3.018 given #374 (F,wt=13): 1325 -red(plus(x(c_N,c1),c_N),x) | -reds(x,U22(tt,c2,c_N)). [resolve(1283,a,21,c)]. 3.018/3.018 3.018/3.018 given #375 (F,wt=13): 1461 -reds(plus(x(c_N,x),c_N),U22(tt,c1,c_N)) | -red(c2,x). [resolve(1084,b,29,b)]. 3.018/3.018 3.018/3.018 given #376 (F,wt=13): 1462 -reds(plus(x(x,c2),c_N),U22(tt,c1,c_N)) | -red(c_N,x). [resolve(1084,b,28,b)]. 3.018/3.018 3.018/3.018 given #377 (F,wt=13): 1493 -reds(plus(x(c_N,x),c_N),U21(tt,c2,c_N)) | -red(c1,x). [resolve(1227,b,29,b)]. 3.018/3.018 3.018/3.018 given #378 (T,wt=8): 1637 reds(U21(plus(tt,0),0,0),0). [ur(21,a,87,a,b,289,a)]. 3.018/3.018 3.018/3.018 given #379 (T,wt=9): 607 reds(plus(plus(c1,0),x),plus(c2,x)). [ur(21,a,85,a,b,267,a)]. 3.018/3.018 3.018/3.018 given #380 (T,wt=9): 608 reds(plus(plus(x,0),c1),plus(x,c2)). [ur(21,a,85,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #381 (T,wt=9): 609 reds(plus(plus(x,0),y),plus(x,y)). [ur(21,a,85,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #382 (A,wt=11): 88 red(U12(plus(x,0),y,z),U12(x,y,z)). [ur(23,a,35,a)]. 3.018/3.018 3.018/3.018 given #383 (F,wt=13): 1494 -reds(plus(x(x,c1),c_N),U21(tt,c2,c_N)) | -red(c_N,x). [resolve(1227,b,28,b)]. 3.018/3.018 3.018/3.018 given #384 (F,wt=13): 1495 -red(plus(x(c_N,c2),c_N),x) | -reds(x,U21(tt,c2,c_N)). [resolve(1492,a,21,c)]. 3.018/3.018 3.018/3.018 given #385 (F,wt=13): 1640 -reds(plus(x(c_N,c1),x),U22(tt,c2,c_N)) | -red(c_N,x). [resolve(1325,a,27,b)]. 3.018/3.018 3.018/3.018 given #386 (F,wt=13): 1641 -reds(plus(x,c_N),U22(tt,c2,c_N)) | -red(x(c_N,c1),x). [resolve(1325,a,26,b)]. 3.018/3.018 3.018/3.018 given #387 (T,wt=9): 626 reds(plus(c1,s(x)),U11(tt,x,c2)). [ur(21,a,125,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #388 (T,wt=9): 643 reds(x(c1,x(x,0)),x(c2,0)). [ur(21,a,102,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #389 (T,wt=9): 645 reds(x(x,x(y,0)),x(x,0)). [ur(21,a,102,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #390 (T,wt=9): 646 reds(x(x,plus(x(y,0),0)),0). [ur(21,a,82,a,b,644,a)]. 3.018/3.018 3.018/3.018 given #391 (A,wt=11): 89 red(U11(plus(x,0),y,z),U11(x,y,z)). [ur(22,a,35,a)]. 3.018/3.018 3.018/3.018 given #392 (F,wt=10): 1685 -reds(plus(x(c_N,c2),c_N),U22(tt,c2,c_N)). [resolve(1641,b,122,a)]. 3.018/3.018 3.018/3.018 given #393 (F,wt=10): 1729 -red(plus(x(c_N,c2),c_N),U22(tt,c2,c_N)). [ur(21,b,20,a,c,1685,a)]. 3.018/3.018 3.018/3.018 given #394 (F,wt=12): 1728 -red(plus(x(c_N,c2),c_N),plus(U22(tt,c2,c_N),0)). [ur(21,b,90,a,c,1685,a)]. 3.018/3.018 3.018/3.018 given #395 (F,wt=13): 1680 -reds(plus(x(c_N,c2),x),U21(tt,c2,c_N)) | -red(c_N,x). [resolve(1495,a,27,b)]. 3.018/3.018 3.018/3.018 given #396 (T,wt=8): 1704 reds(x(x,U22(tt,0,0)),0). [ur(21,a,72,a,b,646,a)]. 3.018/3.018 3.018/3.018 given #397 (T,wt=8): 1732 reds(x(x,U21(tt,0,0)),0). [ur(21,a,62,a,b,1704,a)]. 3.018/3.018 3.018/3.018 given #398 (T,wt=9): 647 reds(plus(x(x,x(y,0)),0),0). [ur(21,a,35,a,b,644,a)]. 3.018/3.018 3.018/3.018 given #399 (T,wt=8): 1739 reds(U22(tt,x(x,0),0),0). [ur(21,a,34,a,b,647,a)]. 3.018/3.018 3.018/3.018 given #400 (A,wt=11): 91 red(s(plus(x,s(y))),s(U11(tt,y,x))). [ur(30,a,36,a)]. 3.018/3.018 3.018/3.018 given #401 (F,wt=13): 1681 -reds(plus(x,c_N),U21(tt,c2,c_N)) | -red(x(c_N,c2),x). [resolve(1495,a,26,b)]. 3.018/3.018 3.018/3.018 given #402 (F,wt=13): 1686 -reds(plus(x(c_N,x),c_N),U22(tt,c2,c_N)) | -red(c1,x). [resolve(1641,b,29,b)]. 3.018/3.018 3.018/3.018 given #403 (F,wt=13): 1687 -reds(plus(x(x,c1),c_N),U22(tt,c2,c_N)) | -red(c_N,x). [resolve(1641,b,28,b)]. 3.018/3.018 3.018/3.018 given #404 (F,wt=13): 1720 -red(plus(x(c_N,c2),c_N),x) | -reds(x,U22(tt,c2,c_N)). [resolve(1685,a,21,c)]. 3.018/3.018 3.018/3.018 given #405 (T,wt=8): 1742 reds(U21(tt,x(x,0),0),0). [ur(21,a,33,a,b,1739,a)]. 3.018/3.018 3.018/3.018 given #406 (T,wt=8): 1762 reds(x(0,s(x(x,0))),0). [ur(21,a,38,a,b,1742,a)]. 3.018/3.018 3.018/3.018 given #407 (T,wt=9): 659 reds(x(x(x,0),s(s(0))),0). [ur(21,a,103,a,b,444,a)]. 3.018/3.018 3.018/3.018 given #408 (T,wt=9): 661 reds(x(x(x,0),c1),x(0,c2)). [ur(21,a,103,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #409 (A,wt=13): 92 red(x(x,plus(y,s(z))),x(x,U11(tt,z,y))). [ur(29,a,36,a)]. 3.018/3.018 3.018/3.018 given #410 (F,wt=13): 1754 -reds(plus(x(c_N,x),c_N),U21(tt,c2,c_N)) | -red(c2,x). [resolve(1681,b,29,b)]. 3.018/3.018 3.018/3.018 given #411 (F,wt=13): 1755 -reds(plus(x(x,c2),c_N),U21(tt,c2,c_N)) | -red(c_N,x). [resolve(1681,b,28,b)]. 3.018/3.018 3.018/3.018 given #412 (F,wt=13): 1758 -reds(plus(x(c_N,c2),x),U22(tt,c2,c_N)) | -red(c_N,x). [resolve(1720,a,27,b)]. 3.018/3.018 3.018/3.018 given #413 (F,wt=13): 1759 -reds(plus(x,c_N),U22(tt,c2,c_N)) | -red(x(c_N,c2),x). [resolve(1720,a,26,b)]. 3.018/3.018 3.018/3.018 given #414 (T,wt=8): 1781 reds(x(0,plus(0,s(0))),0). [ur(21,a,92,a,b,1373,a)]. 3.018/3.018 3.018/3.018 given #415 (T,wt=9): 662 reds(x(x(x,0),y),x(0,y)). [ur(21,a,103,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #416 (T,wt=9): 693 reds(plus(c1,x(x,0)),plus(c2,0)). [ur(21,a,104,a,b,267,a)]. 3.018/3.018 3.018/3.018 given #417 (T,wt=9): 694 reds(plus(s(c1),x(x,0)),s(c2)). [ur(21,a,104,a,b,186,a)]. 3.018/3.018 3.018/3.018 given #418 (A,wt=13): 93 red(x(plus(x,s(y)),z),x(U11(tt,y,x),z)). [ur(28,a,36,a)]. 3.018/3.018 3.018/3.018 given #419 (F,wt=13): 1790 -reds(plus(x(c_N,x),c_N),U22(tt,c2,c_N)) | -red(c2,x). [resolve(1759,b,29,b)]. 3.018/3.018 3.018/3.018 given #420 (F,wt=13): 1791 -reds(plus(x(x,c2),c_N),U22(tt,c2,c_N)) | -red(c_N,x). [resolve(1759,b,28,b)]. 3.018/3.018 3.018/3.018 given #421 (F,wt=14): 279 -red(plus(x(c_N,c2),c_N),plus(plus(U21(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,221,a)]. 3.018/3.018 3.018/3.018 given #422 (F,wt=14): 281 -red(plus(x(c_N,c1),c_N),plus(plus(x(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,153,a)]. 3.018/3.018 3.018/3.018 given #423 (T,wt=9): 695 reds(plus(plus(c1,0),x(x,0)),c2). [ur(21,a,104,a,b,185,a)]. 3.018/3.018 3.018/3.018 given #424 (T,wt=9): 696 reds(plus(x(x,0),x(y,0)),0). [ur(21,a,104,a,b,160,a)]. 3.018/3.018 3.018/3.018 given #425 (T,wt=8): 1830 reds(U22(tt,0,x(x,0)),0). [ur(21,a,34,a,b,696,a)]. 3.018/3.018 3.018/3.018 given #426 (T,wt=8): 1833 reds(U21(tt,0,x(x,0)),0). [ur(21,a,33,a,b,1830,a)]. 3.018/3.018 3.018/3.018 given #427 (A,wt=13): 94 red(plus(x,plus(y,s(z))),plus(x,U11(tt,z,y))). [ur(27,a,36,a)]. 3.018/3.018 3.018/3.018 given #428 (F,wt=14): 439 -red(plus(x(c_N,c2),c_N),plus(plus(x(c_N,s(c2)),0),0)). [ur(21,b,155,a,c,435,a)]. 3.018/3.018 3.018/3.018 given #429 (F,wt=14): 550 -red(plus(x(c_N,c2),c_N),plus(plus(U22(tt,c1,c_N),0),0)). [ur(21,b,155,a,c,548,a)]. 3.018/3.018 3.018/3.018 given #430 (F,wt=14): 579 -red(plus(x(c_N,c2),c_N),plus(U21(tt,c1,c_N),plus(0,0))). [resolve(575,a,225,b)]. 3.018/3.018 3.018/3.018 given #431 (F,wt=14): 580 -red(plus(x(c_N,c1),c_N),plus(x(c_N,s(c2)),plus(0,0))). [resolve(575,a,222,b)]. 3.018/3.018 3.018/3.018 given #432 (T,wt=9): 697 reds(plus(plus(x,0),x(y,0)),x). [ur(21,a,104,a,b,155,a)]. 3.018/3.018 3.018/3.018 given #433 (T,wt=9): 700 reds(plus(x,x(y,0)),plus(x,0)). [ur(21,a,104,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #434 (T,wt=9): 701 reds(plus(c1,plus(x(x,0),0)),c2). [ur(21,a,84,a,b,698,a)]. 3.018/3.018 3.018/3.018 given #435 (T,wt=8): 1882 reds(plus(c1,U22(tt,0,0)),c2). [ur(21,a,74,a,b,701,a)]. 3.018/3.018 3.018/3.018 given #436 (A,wt=13): 95 red(plus(plus(x,s(y)),z),plus(U11(tt,y,x),z)). [ur(26,a,36,a)]. 3.018/3.018 3.018/3.018 given #437 (F,wt=14): 590 -red(plus(x(c_N,c2),c_N),plus(U22(tt,c1,c_N),plus(0,0))). [ur(21,b,575,a,c,548,a)]. 3.018/3.018 3.018/3.018 given #438 (F,wt=14): 594 -red(plus(x(c_N,c2),c_N),plus(x(c_N,s(c2)),plus(0,0))). [ur(21,b,575,a,c,435,a)]. 3.018/3.018 3.018/3.018 given #439 (F,wt=14): 706 -red(plus(x(c_N,c2),c_N),plus(U21(tt,c1,c_N),x(x,0))). [resolve(699,a,225,b)]. 3.018/3.018 3.018/3.018 given #440 (F,wt=14): 707 -red(plus(x(c_N,c1),c_N),plus(x(c_N,s(c2)),x(x,0))). [resolve(699,a,222,b)]. 3.018/3.018 3.018/3.018 given #441 (T,wt=8): 1886 reds(plus(c1,U21(tt,0,0)),c2). [ur(21,a,64,a,b,1882,a)]. 3.018/3.018 3.018/3.018 given #442 (T,wt=9): 702 reds(plus(plus(c1,x(x,0)),0),c2). [ur(21,a,35,a,b,698,a)]. 3.018/3.018 3.018/3.018 given #443 (T,wt=9): 713 reds(plus(x,plus(x(y,0),0)),x). [ur(21,a,84,a,b,699,a)]. 3.018/3.018 3.018/3.018 given #444 (T,wt=8): 1938 reds(plus(x,U22(tt,0,0)),x). [ur(21,a,74,a,b,713,a)]. 3.018/3.018 3.018/3.018 given #445 (A,wt=15): 96 red(U22(plus(x,s(y)),z,u),U22(U11(tt,y,x),z,u)). [ur(25,a,36,a)]. 3.018/3.018 3.018/3.018 given #446 (F,wt=14): 718 -red(plus(x(c_N,c2),c_N),plus(U22(tt,c1,c_N),x(x,0))). [ur(21,b,699,a,c,548,a)]. 3.018/3.018 3.018/3.018 given #447 (F,wt=14): 719 -red(plus(x(c_N,c2),c_N),plus(x(c_N,s(c2)),x(x,0))). [ur(21,b,699,a,c,435,a)]. 3.018/3.018 3.018/3.018 given #448 (F,wt=14): 912 -red(plus(x(c_N,c1),c_N),plus(U21(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,852,a)]. 3.018/3.018 3.018/3.018 given #449 (F,wt=14): 913 -red(plus(x(c_N,c1),c_N),plus(U21(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,852,a)]. 3.018/3.018 3.018/3.018 given #450 (T,wt=8): 1971 reds(plus(x,U21(tt,0,0)),x). [ur(21,a,64,a,b,1938,a)]. 3.018/3.018 3.018/3.018 given #451 (T,wt=9): 716 reds(plus(plus(x,x(y,0)),0),x). [ur(21,a,35,a,b,699,a)]. 3.018/3.018 3.018/3.018 given #452 (T,wt=9): 743 reds(plus(x(x,0),s(0)),s(0)). [ur(21,a,105,a,b,410,a)]. 3.018/3.018 3.018/3.018 given #453 (T,wt=8): 2043 reds(U22(tt,0,s(0)),s(0)). [ur(21,a,34,a,b,743,a)]. 3.018/3.018 3.018/3.018 given #454 (A,wt=15): 97 red(U21(plus(x,s(y)),z,u),U21(U11(tt,y,x),z,u)). [ur(24,a,36,a)]. 3.018/3.018 3.018/3.018 given #455 (F,wt=14): 914 -red(plus(x(c_N,c1),c_N),plus(plus(U21(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,852,a)]. 3.018/3.018 3.018/3.018 given #456 (F,wt=14): 1326 -red(plus(x(c_N,c1),c_N),plus(U22(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,1283,a)]. 3.018/3.018 3.018/3.018 given #457 (F,wt=14): 1327 -red(plus(x(c_N,c1),c_N),plus(U22(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,1283,a)]. 3.018/3.018 3.018/3.018 given #458 (F,wt=14): 1329 -red(plus(x(c_N,c1),c_N),plus(plus(U22(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1283,a)]. 3.018/3.018 3.018/3.018 given #459 (T,wt=8): 2046 reds(U21(tt,0,s(0)),s(0)). [ur(21,a,33,a,b,2043,a)]. 3.018/3.018 3.018/3.018 given #460 (T,wt=8): 2058 reds(x(s(0),s(0)),s(0)). [ur(21,a,38,a,b,2046,a)]. 3.018/3.018 3.018/3.018 given #461 (T,wt=9): 744 reds(plus(x(x,0),c1),plus(0,c2)). [ur(21,a,105,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #462 (T,wt=8): 2065 reds(U22(tt,0,c1),plus(0,c2)). [ur(21,a,34,a,b,744,a)]. 3.018/3.018 3.018/3.018 given #463 (A,wt=15): 98 red(U12(plus(x,s(y)),z,u),U12(U11(tt,y,x),z,u)). [ur(23,a,36,a)]. 3.018/3.018 3.018/3.018 given #464 (F,wt=14): 1496 -red(plus(x(c_N,c2),c_N),plus(U21(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,1492,a)]. 3.018/3.018 3.018/3.018 given #465 (F,wt=14): 1497 -red(plus(x(c_N,c2),c_N),plus(U21(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,1492,a)]. 3.018/3.018 3.018/3.018 given #466 (F,wt=14): 1499 -red(plus(x(c_N,c2),c_N),plus(plus(U21(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1492,a)]. 3.018/3.018 3.018/3.018 given #467 (F,wt=14): 1721 -red(plus(x(c_N,c2),c_N),plus(U22(tt,c2,c_N),x(x,0))). [ur(21,b,699,a,c,1685,a)]. 3.018/3.018 3.018/3.018 given #468 (T,wt=8): 2068 reds(U21(tt,0,c1),plus(0,c2)). [ur(21,a,33,a,b,2065,a)]. 3.018/3.018 3.018/3.018 given #469 (T,wt=8): 2080 reds(x(c1,s(0)),plus(0,c2)). [ur(21,a,38,a,b,2068,a)]. 3.018/3.018 3.018/3.018 given #470 (T,wt=9): 746 reds(plus(x(x,0),y),plus(0,y)). [ur(21,a,105,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #471 (T,wt=8): 2093 reds(U22(tt,0,x),plus(0,x)). [ur(21,a,34,a,b,746,a)]. 3.018/3.018 3.018/3.018 given #472 (A,wt=15): 99 red(U11(plus(x,s(y)),z,u),U11(U11(tt,y,x),z,u)). [ur(22,a,36,a)]. 3.018/3.018 3.018/3.018 given #473 (F,wt=14): 1724 -red(plus(x(c_N,c2),c_N),plus(U22(tt,c2,c_N),plus(0,0))). [ur(21,b,575,a,c,1685,a)]. 3.018/3.018 3.018/3.018 given #474 (F,wt=14): 1727 -red(plus(x(c_N,c2),c_N),plus(plus(U22(tt,c2,c_N),0),0)). [ur(21,b,155,a,c,1685,a)]. 3.018/3.018 3.018/3.018 given #475 (F,wt=14): 1947 -red(U22(tt,c1,c_N),plus(U22(tt,c2,c_N),U22(tt,0,0))). [resolve(1938,a,1276,b)]. 3.018/3.018 3.018/3.018 given #476 (F,wt=14): 1948 -red(U21(tt,c1,c_N),plus(U22(tt,c2,c_N),U22(tt,0,0))). [resolve(1938,a,1268,b)]. 3.018/3.018 3.018/3.018 given #477 (T,wt=8): 2096 reds(U21(tt,0,x),plus(0,x)). [ur(21,a,33,a,b,2093,a)]. 3.018/3.018 3.018/3.018 given #478 (T,wt=8): 2108 reds(x(x,s(0)),plus(0,x)). [ur(21,a,38,a,b,2096,a)]. 3.018/3.018 3.018/3.018 given #479 (T,wt=9): 754 reds(x(c1,s(x)),U21(tt,x,c2)). [ur(21,a,123,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #480 (T,wt=9): 771 reds(U22(c1,x,y),U22(c2,x,y)). [ur(21,a,126,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #481 (A,wt=11): 106 red(U22(x(x,0),y,z),U22(0,y,z)). [ur(25,a,37,a)]. 3.018/3.018 3.018/3.018 given #482 (F,wt=14): 1950 -red(U22(tt,c1,c_N),plus(U21(tt,c2,c_N),U22(tt,0,0))). [resolve(1938,a,846,b)]. 3.018/3.018 3.018/3.018 given #483 (F,wt=14): 1951 -red(U21(tt,c1,c_N),plus(U21(tt,c2,c_N),U22(tt,0,0))). [resolve(1938,a,839,b)]. 3.018/3.018 3.018/3.018 given #484 (F,wt=14): 1953 -red(U22(tt,c2,c_N),plus(U22(tt,c1,c_N),U22(tt,0,0))). [resolve(1938,a,544,b)]. 3.018/3.018 3.018/3.018 given #485 (F,wt=14): 1954 -red(U21(tt,c2,c_N),plus(U22(tt,c1,c_N),U22(tt,0,0))). [resolve(1938,a,505,b)]. 3.018/3.018 3.018/3.018 given #486 (T,wt=9): 781 reds(U21(c1,x,y),U21(c2,x,y)). [ur(21,a,127,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #487 (T,wt=9): 801 reds(U12(c1,x,y),U12(c2,x,y)). [ur(21,a,128,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #488 (T,wt=9): 811 reds(U11(c1,x,y),U11(c2,x,y)). [ur(21,a,129,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #489 (T,wt=9): 822 reds(x(c1,s(c1)),x(c2,s(c2))). [ur(21,a,162,a,b,247,a)]. 3.018/3.018 3.018/3.018 given #490 (A,wt=11): 107 red(U21(x(x,0),y,z),U21(0,y,z)). [ur(24,a,37,a)]. 3.018/3.018 3.018/3.018 given #491 (F,wt=14): 1955 -red(x(c_N,s(c2)),plus(U22(tt,c1,c_N),U22(tt,0,0))). [resolve(1938,a,500,b)]. 3.018/3.018 3.018/3.018 given #492 (F,wt=14): 1959 -red(U22(tt,c2,c_N),plus(U21(tt,c1,c_N),U22(tt,0,0))). [resolve(1938,a,218,b)]. 3.018/3.018 3.018/3.018 given #493 (F,wt=14): 1960 -red(U21(tt,c2,c_N),plus(U21(tt,c1,c_N),U22(tt,0,0))). [resolve(1938,a,181,b)]. 3.018/3.018 3.018/3.018 given #494 (F,wt=14): 1961 -red(U22(tt,c1,c_N),plus(x(c_N,s(c2)),U22(tt,0,0))). [resolve(1938,a,151,b)]. 3.018/3.018 3.018/3.018 given #495 (T,wt=9): 823 reds(x(x,s(c1)),U21(tt,c2,x)). [ur(21,a,162,a,b,120,a)]. 3.018/3.018 3.018/3.018 given #496 (T,wt=9): 824 reds(x(x,s(c1)),x(x,s(c2))). [ur(21,a,162,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #497 (T,wt=9): 862 reds(x(s(c1),c1),x(s(c2),c2)). [ur(21,a,163,a,b,237,a)]. 3.018/3.018 3.018/3.018 given #498 (T,wt=9): 864 reds(x(s(c1),x),x(s(c2),x)). [ur(21,a,163,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #499 (A,wt=11): 108 red(U12(x(x,0),y,z),U12(0,y,z)). [ur(23,a,37,a)]. 3.018/3.018 3.018/3.018 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.09 sec). 3.018/3.018 3.018/3.018 given #500 (F,wt=9): 2156 -red(U22(tt,c1,c_N),x(c_N,s(c1))). [resolve(823,a,846,b)]. 3.018/3.018 3.018/3.018 given #501 (F,wt=9): 2157 -red(U21(tt,c1,c_N),x(c_N,s(c1))). [resolve(823,a,839,b)]. 3.018/3.018 3.018/3.018 given #502 (F,wt=10): 2155 -red(plus(x(c_N,c1),c_N),x(c_N,s(c1))). [resolve(823,a,911,b)]. 3.018/3.018 3.018/3.018 given #503 (F,wt=14): 1962 -red(x(c_N,s(c2)),plus(U21(tt,c1,c_N),U22(tt,0,0))). [resolve(1938,a,148,b)]. 3.018/3.018 3.018/3.018 given #504 (T,wt=9): 874 reds(plus(c1,s(c1)),plus(c2,s(c2))). [ur(21,a,164,a,b,267,a)]. 3.018/3.018 3.018/3.018 given #505 (T,wt=9): 875 reds(plus(x,s(c1)),U11(tt,c2,x)). [ur(21,a,164,a,b,100,a)]. 3.018/3.018 3.018/3.018 given #506 (T,wt=9): 876 reds(plus(x,s(c1)),plus(x,s(c2))). [ur(21,a,164,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #507 (T,wt=9): 886 reds(plus(s(c1),s(0)),s(s(c2))). [ur(21,a,165,a,b,410,a)]. 3.018/3.018 3.018/3.018 given #508 (A,wt=11): 109 red(U11(x(x,0),y,z),U11(0,y,z)). [ur(22,a,37,a)]. 3.018/3.018 3.018/3.018 given #509 (F,wt=14): 1963 -red(U21(tt,c1,c_N),plus(x(c_N,s(c2)),U22(tt,0,0))). [resolve(1938,a,145,b)]. 3.018/3.018 3.018/3.018 given #510 (F,wt=14): 1989 -red(U22(tt,c1,c_N),plus(U22(tt,c2,c_N),U21(tt,0,0))). [resolve(1971,a,1276,b)]. 3.018/3.018 3.018/3.018 given #511 (F,wt=14): 1990 -red(U21(tt,c1,c_N),plus(U22(tt,c2,c_N),U21(tt,0,0))). [resolve(1971,a,1268,b)]. 3.018/3.018 3.018/3.018 given #512 (F,wt=14): 1992 -red(U22(tt,c1,c_N),plus(U21(tt,c2,c_N),U21(tt,0,0))). [resolve(1971,a,846,b)]. 3.018/3.018 3.018/3.018 given #513 (T,wt=9): 887 reds(plus(s(c1),c1),plus(s(c2),c2)). [ur(21,a,165,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #514 (T,wt=9): 889 reds(plus(s(c1),x),plus(s(c2),x)). [ur(21,a,165,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #515 (T,wt=9): 899 reds(s(s(plus(c1,0))),s(s(c2))). [ur(21,a,187,a,b,315,a)]. 3.018/3.018 3.018/3.018 given #516 (T,wt=9): 900 reds(s(s(plus(x,0))),s(s(x))). [ur(21,a,187,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #517 (A,wt=11): 111 red(s(x(x,s(y))),s(U21(tt,y,x))). [ur(30,a,38,a)]. 3.018/3.018 3.018/3.018 given #518 (F,wt=14): 1993 -red(U21(tt,c1,c_N),plus(U21(tt,c2,c_N),U21(tt,0,0))). [resolve(1971,a,839,b)]. 3.018/3.018 3.018/3.018 given #519 (F,wt=14): 1995 -red(U22(tt,c2,c_N),plus(U22(tt,c1,c_N),U21(tt,0,0))). [resolve(1971,a,544,b)]. 3.018/3.018 3.018/3.018 given #520 (F,wt=14): 1996 -red(U21(tt,c2,c_N),plus(U22(tt,c1,c_N),U21(tt,0,0))). [resolve(1971,a,505,b)]. 3.018/3.018 3.018/3.018 given #521 (F,wt=14): 1997 -red(x(c_N,s(c2)),plus(U22(tt,c1,c_N),U21(tt,0,0))). [resolve(1971,a,500,b)]. 3.018/3.018 3.018/3.018 given #522 (T,wt=8): 2255 reds(s(x(0,s(0))),s(0)). [ur(21,a,111,a,b,1209,a)]. 3.018/3.018 3.018/3.018 given #523 (T,wt=9): 926 reds(s(s(x(x,0))),s(s(0))). [ur(21,a,198,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #524 (T,wt=9): 936 reds(s(x(x,c1)),s(x(x,c2))). [ur(21,a,228,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #525 (T,wt=9): 946 reds(s(x(c1,x)),s(x(c2,x))). [ur(21,a,238,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #526 (A,wt=13): 112 red(x(x,x(y,s(z))),x(x,U21(tt,z,y))). [ur(29,a,38,a)]. 3.018/3.018 3.018/3.018 given #527 (F,wt=14): 2001 -red(U22(tt,c2,c_N),plus(U21(tt,c1,c_N),U21(tt,0,0))). [resolve(1971,a,218,b)]. 3.018/3.018 3.018/3.018 given #528 (F,wt=14): 2002 -red(U21(tt,c2,c_N),plus(U21(tt,c1,c_N),U21(tt,0,0))). [resolve(1971,a,181,b)]. 3.018/3.018 3.018/3.018 given #529 (F,wt=14): 2003 -red(U22(tt,c1,c_N),plus(x(c_N,s(c2)),U21(tt,0,0))). [resolve(1971,a,151,b)]. 3.018/3.018 3.018/3.018 given #530 (F,wt=14): 2004 -red(x(c_N,s(c2)),plus(U21(tt,c1,c_N),U21(tt,0,0))). [resolve(1971,a,148,b)]. 3.018/3.018 3.018/3.018 given #531 (T,wt=8): 2276 reds(x(x,x(0,s(0))),0). [ur(21,a,112,a,b,1732,a)]. 3.018/3.018 3.018/3.018 given #532 (T,wt=9): 956 reds(s(plus(x,c1)),s(plus(x,c2))). [ur(21,a,248,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #533 (T,wt=9): 981 reds(s(plus(c1,x)),s(plus(c2,x))). [ur(21,a,258,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #534 (T,wt=9): 1012 reds(s(s(s(c1))),s(s(s(c2)))). [ur(21,a,306,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #535 (A,wt=13): 113 red(x(x(x,s(y)),z),x(U21(tt,y,x),z)). [ur(28,a,38,a)]. 3.018/3.018 3.018/3.018 given #536 (F,wt=14): 2005 -red(U21(tt,c1,c_N),plus(x(c_N,s(c2)),U21(tt,0,0))). [resolve(1971,a,145,b)]. 3.018/3.018 3.018/3.018 given #537 (F,wt=15): 131 -reds(U21(tt,c1,c_N),x) | -red(x(c_N,s(c2)),y) | -reds(y,x). [resolve(40,a,21,c)]. 3.018/3.018 3.018/3.018 given #538 (F,wt=12): 2316 -reds(U21(tt,c1,c_N),x) | -reds(U21(tt,c2,c_N),x). [resolve(131,b,38,a)]. 3.018/3.018 3.018/3.018 given #539 (F,wt=12): 2509 -reds(U21(tt,c1,c_N),c2) | -red(x(c_N,s(c2)),c1). [resolve(131,c,130,a)]. 3.018/3.018 3.018/3.018 given #540 (T,wt=9): 1036 reds(U12(tt,0,plus(c1,0)),s(c2)). [ur(21,a,32,a,b,337,a)]. 3.018/3.018 3.018/3.018 given #541 (T,wt=9): 1058 reds(U12(tt,0,plus(x,0)),s(x)). [ur(21,a,32,a,b,340,a)]. 3.018/3.018 3.018/3.018 given #542 (T,wt=9): 1064 reds(U12(tt,0,x(x,0)),s(0)). [ur(21,a,32,a,b,343,a)]. 3.018/3.018 3.018/3.018 given #543 (T,wt=9): 1114 reds(U12(tt,0,s(c1)),s(s(c2))). [ur(21,a,32,a,b,369,a)]. 3.018/3.018 3.018/3.018 given #544 (A,wt=13): 114 red(plus(x,x(y,s(z))),plus(x,U21(tt,z,y))). [ur(27,a,38,a)]. 3.018/3.018 3.018/3.018 given #545 (F,wt=12): 2519 -reds(U21(tt,c1,c_N),x) | -red(x(c_N,s(c2)),x). [resolve(131,c,20,a)]. 3.018/3.018 3.018/3.018 given #546 (F,wt=12): 2557 -reds(U21(tt,c1,c_N),x(c_N,x)) | -red(s(c2),x). [resolve(2519,b,29,b)]. 3.018/3.018 3.018/3.018 given #547 (F,wt=12): 2558 -reds(U21(tt,c1,c_N),x(x,s(c2))) | -red(c_N,x). [resolve(2519,b,28,b)]. 3.018/3.018 3.018/3.018 given #548 (F,wt=12): 2560 -reds(U21(tt,c1,c_N),x(c_N,s(x))) | -red(c2,x). [resolve(2557,b,30,b)]. 3.018/3.018 3.018/3.018 given #549 (T,wt=8): 2548 reds(plus(x,x(0,s(0))),x). [ur(21,a,114,a,b,1971,a)]. 3.018/3.018 3.018/3.018 given #550 (T,wt=8): 2549 reds(plus(c1,x(0,s(0))),c2). [ur(21,a,114,a,b,1886,a)]. 3.018/3.018 3.018/3.018 given #551 (T,wt=9): 1173 reds(plus(x,s(c1)),U12(tt,c2,x)). [ur(21,a,164,a,b,416,a)]. 3.018/3.018 3.018/3.018 given #552 (T,wt=9): 1174 reds(plus(c1,s(x)),U12(tt,x,c2)). [ur(21,a,125,a,b,416,a)]. 3.018/3.018 3.018/3.018 given #553 (A,wt=13): 115 red(plus(x(x,s(y)),z),plus(U21(tt,y,x),z)). [ur(26,a,38,a)]. 3.018/3.018 3.018/3.018 given #554 (F,wt=14): 2504 -reds(U21(tt,c1,c_N),s(c2)) | -red(x(c_N,s(c2)),s(c1)). [resolve(131,c,170,a)]. 3.018/3.018 3.018/3.018 given #555 (F,wt=14): 2508 -reds(U21(tt,c1,c_N),c2) | -red(x(c_N,s(c2)),plus(c1,0)). [resolve(131,c,154,a)]. 3.018/3.018 3.018/3.018 given #556 (F,wt=14): 2511 -reds(U21(tt,c1,c_N),0) | -red(x(c_N,s(c2)),x(x,0)). [resolve(131,c,110,a)]. 3.018/3.018 3.018/3.018 given #557 (F,wt=10): 2648 -reds(U21(tt,c1,c_N),0) | -red(s(c2),0). [resolve(2511,b,29,b)]. 3.018/3.018 3.018/3.018 given #558 (T,wt=9): 1237 reds(plus(x,s(y)),s(plus(x,y))). [ur(21,a,36,a,b,468,a)]. 3.018/3.018 3.018/3.018 given #559 (T,wt=9): 1241 reds(x(x,s(c1)),U22(tt,c2,x)). [ur(21,a,162,a,b,470,a)]. 3.018/3.018 3.018/3.018 given #560 (T,wt=9): 1242 reds(x(c1,s(x)),U22(tt,x,c2)). [ur(21,a,123,a,b,470,a)]. 3.018/3.018 3.018/3.018 given #561 (T,wt=9): 1608 reds(U22(plus(tt,0),s(0),0),0). [ur(21,a,86,a,b,422,a)]. 3.018/3.018 3.018/3.018 given #562 (A,wt=15): 116 red(U22(x(x,s(y)),z,u),U22(U21(tt,y,x),z,u)). [ur(25,a,38,a)]. 3.018/3.018 3.018/3.018 given #563 (F,wt=13): 2649 -red(s(c2),0) | -red(U21(tt,c1,c_N),x) | -reds(x,0). [resolve(2648,a,21,c)]. 3.018/3.018 3.018/3.018 given #564 (F,wt=10): 2697 -red(s(c2),0) | -reds(U22(tt,c1,c_N),0). [resolve(2649,b,33,a)]. 3.018/3.018 3.018/3.018 given #565 (F,wt=10): 2765 -red(s(c2),0) | -red(U21(tt,c1,c_N),0). [resolve(2649,c,20,a)]. 3.018/3.018 3.018/3.018 given #566 (F,wt=12): 2762 -red(s(c2),0) | -red(U21(tt,c1,c_N),x(x,0)). [resolve(2649,c,110,a)]. 3.018/3.018 3.018/3.018 given #567 (T,wt=9): 1635 reds(U21(plus(tt,0),s(0),0),0). [ur(21,a,87,a,b,443,a)]. 3.018/3.018 3.018/3.018 given #568 (T,wt=9): 1675 reds(U12(plus(tt,0),0,x),s(x)). [ur(21,a,88,a,b,342,a)]. 3.018/3.018 3.018/3.018 given #569 (T,wt=9): 1676 reds(U12(plus(tt,0),0,c1),s(c2)). [ur(21,a,88,a,b,339,a)]. 3.018/3.018 3.018/3.018 given #570 (T,wt=9): 1688 reds(plus(c1,s(c1)),U11(tt,c2,c2)). [ur(21,a,164,a,b,626,a)]. 3.018/3.018 3.018/3.018 given #571 (A,wt=15): 117 red(U21(x(x,s(y)),z,u),U21(U21(tt,y,x),z,u)). [ur(24,a,38,a)]. 3.018/3.018 3.018/3.018 given #572 (F,wt=12): 2763 -red(s(c2),0) | -red(U21(tt,c1,c_N),plus(0,0)). [resolve(2649,c,90,a)]. 3.018/3.018 3.018/3.018 given #573 (F,wt=13): 2698 -red(s(c2),0) | -reds(U21(x,c1,c_N),0) | -red(tt,x). [resolve(2649,b,24,b)]. 3.018/3.018 3.018/3.018 given #574 (F,wt=13): 2754 -red(s(c2),0) | -red(U21(tt,c1,c_N),x(0,s(0))). [resolve(2649,c,290,a)]. 3.018/3.018 3.018/3.018 given #575 (F,wt=13): 2755 -red(s(c2),0) | -red(U21(tt,c1,c_N),U21(tt,0,0)). [resolve(2649,c,289,a)]. 3.018/3.018 3.018/3.018 given #576 (T,wt=9): 1716 reds(U11(plus(tt,0),0,x),s(x)). [ur(21,a,89,a,b,388,a)]. 3.018/3.018 3.018/3.018 given #577 (T,wt=9): 1717 reds(U11(plus(tt,0),0,c1),s(c2)). [ur(21,a,89,a,b,386,a)]. 3.018/3.018 3.018/3.018 given #578 (T,wt=9): 2120 reds(x(c1,s(c1)),U21(tt,c2,c2)). [ur(21,a,162,a,b,754,a)]. 3.018/3.018 3.018/3.018 given #579 (T,wt=9): 2240 reds(s(U12(tt,0,c1)),s(s(c2))). [ur(21,a,51,a,b,899,a)]. 3.018/3.018 3.018/3.018 given #580 (A,wt=15): 118 red(U12(x(x,s(y)),z,u),U12(U21(tt,y,x),z,u)). [ur(23,a,38,a)]. 3.018/3.018 3.018/3.018 given #581 (F,wt=13): 2757 -red(s(c2),0) | -red(U21(tt,c1,c_N),U22(tt,0,0)). [resolve(2649,c,287,a)]. 3.018/3.018 3.018/3.018 given #582 (F,wt=13): 2766 -red(s(c2),0) | -red(U22(tt,c1,c_N),x) | -reds(x,0). [resolve(2697,b,21,c)]. 3.018/3.018 3.018/3.018 given #583 (F,wt=10): 2885 -red(s(c2),0) | -red(U22(tt,c1,c_N),0). [resolve(2766,c,20,a)]. 3.018/3.018 3.018/3.018 given #584 (F,wt=11): 2816 -red(s(c2),0) | -reds(plus(x(c_N,c1),c_N),0). [resolve(2766,b,34,a)]. 3.018/3.018 3.018/3.018 given #585 (T,wt=9): 2244 reds(s(U12(tt,0,x)),s(s(x))). [ur(21,a,51,a,b,900,a)]. 3.018/3.018 3.018/3.018 given #586 (T,wt=9): 2262 reds(s(x(c1,c1)),s(x(c2,c2))). [ur(21,a,238,a,b,936,a)]. 3.018/3.018 3.018/3.018 given #587 (T,wt=9): 2285 reds(s(plus(c1,c1)),s(plus(c2,c2))). [ur(21,a,258,a,b,956,a)]. 3.018/3.018 3.018/3.018 given #588 (T,wt=9): 2289 reds(U12(tt,c1,x),s(plus(x,c2))). [ur(21,a,32,a,b,956,a)]. 3.018/3.018 3.018/3.018 given #589 (A,wt=15): 119 red(U11(x(x,s(y)),z,u),U11(U21(tt,y,x),z,u)). [ur(22,a,38,a)]. 3.018/3.018 3.018/3.018 given #590 (F,wt=12): 2882 -red(s(c2),0) | -red(U22(tt,c1,c_N),x(x,0)). [resolve(2766,c,110,a)]. 3.018/3.018 3.018/3.018 given #591 (F,wt=12): 2883 -red(s(c2),0) | -red(U22(tt,c1,c_N),plus(0,0)). [resolve(2766,c,90,a)]. 3.018/3.018 3.018/3.018 given #592 (F,wt=13): 2817 -red(s(c2),0) | -reds(U22(x,c1,c_N),0) | -red(tt,x). [resolve(2766,b,25,b)]. 3.018/3.018 3.018/3.018 given #593 (F,wt=13): 2874 -red(s(c2),0) | -red(U22(tt,c1,c_N),x(0,s(0))). [resolve(2766,c,290,a)]. 3.018/3.018 3.018/3.018 given #594 (T,wt=9): 2292 reds(U12(tt,x,c1),s(plus(c2,x))). [ur(21,a,32,a,b,981,a)]. 3.018/3.018 3.018/3.018 given #595 (T,wt=9): 2526 reds(U11(tt,0,plus(c1,0)),s(c2)). [ur(21,a,31,a,b,1036,a)]. 3.018/3.018 3.018/3.018 given #596 (T,wt=9): 2530 reds(U11(tt,0,plus(x,0)),s(x)). [ur(21,a,31,a,b,1058,a)]. 3.018/3.018 3.018/3.018 given #597 (T,wt=9): 2534 reds(U11(tt,0,x(x,0)),s(0)). [ur(21,a,31,a,b,1064,a)]. 3.018/3.018 3.018/3.018 given #598 (A,wt=15): 133 -reds(x(c_N,s(c2)),x) | -red(U21(tt,c1,c_N),y) | -reds(y,x). [resolve(40,b,21,c)]. 3.018/3.018 3.018/3.018 given #599 (F,wt=10): 3157 -reds(x(c_N,s(c2)),plus(x(c_N,c1),c_N)). [ur(133,b,33,a,c,80,a)]. 3.018/3.018 3.018/3.018 given #600 (F,wt=10): 3175 -red(x(c_N,s(c2)),plus(x(c_N,c1),c_N)). [ur(21,b,20,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #601 (F,wt=10): 3176 -reds(U21(tt,c2,c_N),plus(x(c_N,c1),c_N)). [ur(21,a,38,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #602 (F,wt=10): 3194 -red(U21(tt,c2,c_N),plus(x(c_N,c1),c_N)). [ur(21,b,20,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #603 (T,wt=9): 2538 reds(U11(tt,0,s(c1)),s(s(c2))). [ur(21,a,31,a,b,1114,a)]. 3.018/3.018 3.018/3.018 given #604 (T,wt=9): 2601 reds(plus(c1,s(c1)),U12(tt,c2,c2)). [ur(21,a,125,a,b,1173,a)]. 3.018/3.018 3.018/3.018 given #605 (T,wt=9): 2652 reds(plus(x,s(c1)),s(plus(x,c2))). [ur(21,a,164,a,b,1237,a)]. 3.018/3.018 3.018/3.018 given #606 (T,wt=9): 2653 reds(plus(c1,s(x)),s(plus(c2,x))). [ur(21,a,125,a,b,1237,a)]. 3.018/3.018 3.018/3.018 given #607 (A,wt=13): 135 red(s(s(U11(tt,x,y))),s(s(U12(tt,x,y)))). [ur(30,a,41,a)]. 3.018/3.018 3.018/3.018 given #608 (F,wt=10): 3195 -reds(U22(tt,c2,c_N),plus(x(c_N,c1),c_N)). [ur(21,a,33,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #609 (F,wt=10): 3253 -red(U22(tt,c2,c_N),plus(x(c_N,c1),c_N)). [ur(21,b,20,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #610 (F,wt=11): 3254 -reds(plus(x(c_N,c2),c_N),plus(x(c_N,c1),c_N)). [ur(21,a,34,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #611 (F,wt=11): 3272 -red(plus(x(c_N,c2),c_N),plus(x(c_N,c1),c_N)). [ur(21,b,20,a,c,3254,a)]. 3.018/3.018 3.018/3.018 given #612 (T,wt=9): 2668 reds(x(c1,s(c1)),U22(tt,c2,c2)). [ur(21,a,123,a,b,1241,a)]. 3.018/3.018 3.018/3.018 given #613 (T,wt=9): 2804 reds(s(U11(tt,0,c1)),s(s(c2))). [ur(21,a,41,a,b,2240,a)]. 3.018/3.018 3.018/3.018 given #614 (T,wt=9): 2889 reds(s(U11(tt,0,x)),s(s(x))). [ur(21,a,41,a,b,2244,a)]. 3.018/3.018 3.018/3.018 given #615 (T,wt=9): 2897 reds(U12(tt,c1,c1),s(plus(c2,c2))). [ur(21,a,32,a,b,2285,a)]. 3.018/3.018 3.018/3.018 given #616 (A,wt=15): 136 red(x(x,s(U11(tt,y,z))),x(x,s(U12(tt,y,z)))). [ur(29,a,41,a)]. 3.018/3.018 3.018/3.018 given #617 (F,wt=7): 3273 -red(x(c_N,c2),x(c_N,c1)). [resolve(3272,a,26,b)]. 3.018/3.018 3.018/3.018 given #618 (F,wt=12): 2926 -reds(x(c_N,s(c2)),x) | -reds(U22(tt,c1,c_N),x). [resolve(133,b,33,a)]. 3.018/3.018 3.018/3.018 given #619 (F,wt=12): 3146 -reds(x(c_N,s(c2)),c2) | -red(U21(tt,c1,c_N),c1). [resolve(133,c,130,a)]. 3.018/3.018 3.018/3.018 given #620 (F,wt=12): 3156 -reds(x(c_N,s(c2)),x) | -red(U21(tt,c1,c_N),x). [resolve(133,c,20,a)]. 3.018/3.018 3.018/3.018 given #621 (T,wt=9): 2901 reds(U11(tt,c1,x),s(plus(x,c2))). [ur(21,a,31,a,b,2289,a)]. 3.018/3.018 3.018/3.018 given #622 (T,wt=9): 2916 reds(U11(tt,x,c1),s(plus(c2,x))). [ur(21,a,31,a,b,2292,a)]. 3.018/3.018 3.018/3.018 given #623 (T,wt=9): 3208 reds(plus(c1,s(c1)),s(plus(c2,c2))). [ur(21,a,125,a,b,2652,a)]. 3.018/3.018 3.018/3.018 given #624 (T,wt=9): 3281 reds(s(plus(c1,s(0))),s(s(c2))). [ur(21,a,91,a,b,2804,a)]. 3.018/3.018 3.018/3.018 given #625 (A,wt=15): 137 red(x(s(U11(tt,x,y)),z),x(s(U12(tt,x,y)),z)). [ur(28,a,41,a)]. 3.018/3.018 3.018/3.018 given #626 (F,wt=12): 3166 -red(x(c_N,s(c2)),plus(plus(x(c_N,c1),0),c_N)). [ur(21,b,609,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #627 (F,wt=12): 3169 -red(x(c_N,s(c2)),plus(x(c_N,c1),plus(c_N,0))). [ur(21,b,576,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #628 (F,wt=12): 3174 -red(x(c_N,s(c2)),plus(plus(x(c_N,c1),c_N),0)). [ur(21,b,90,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #629 (F,wt=12): 3185 -red(U21(tt,c2,c_N),plus(plus(x(c_N,c1),0),c_N)). [ur(21,b,609,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #630 (T,wt=9): 3286 reds(s(plus(x,s(0))),s(s(x))). [ur(21,a,91,a,b,2889,a)]. 3.018/3.018 3.018/3.018 given #631 (T,wt=9): 3293 reds(U11(tt,c1,c1),s(plus(c2,c2))). [ur(21,a,31,a,b,2897,a)]. 3.018/3.018 3.018/3.018 given #632 (T,wt=9): 3336 reds(U12(tt,s(0),c1),s(s(c2))). [ur(21,a,32,a,b,3281,a)]. 3.018/3.018 3.018/3.018 given #633 (T,wt=9): 3362 reds(U12(tt,s(0),x),s(s(x))). [ur(21,a,32,a,b,3286,a)]. 3.018/3.018 3.018/3.018 given #634 (A,wt=15): 138 red(plus(x,s(U11(tt,y,z))),plus(x,s(U12(tt,y,z)))). [ur(27,a,41,a)]. 3.018/3.018 3.018/3.018 given #635 (F,wt=12): 3188 -red(U21(tt,c2,c_N),plus(x(c_N,c1),plus(c_N,0))). [ur(21,b,576,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #636 (F,wt=12): 3193 -red(U21(tt,c2,c_N),plus(plus(x(c_N,c1),c_N),0)). [ur(21,b,90,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #637 (F,wt=12): 3244 -red(U22(tt,c2,c_N),plus(plus(x(c_N,c1),0),c_N)). [ur(21,b,609,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #638 (F,wt=12): 3247 -red(U22(tt,c2,c_N),plus(x(c_N,c1),plus(c_N,0))). [ur(21,b,576,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #639 (T,wt=9): 3371 reds(U11(tt,s(0),c1),s(s(c2))). [ur(21,a,31,a,b,3336,a)]. 3.018/3.018 3.018/3.018 given #640 (T,wt=9): 3376 reds(U11(tt,s(0),x),s(s(x))). [ur(21,a,31,a,b,3362,a)]. 3.018/3.018 3.018/3.018 given #641 (T,wt=9): 3401 reds(plus(c1,s(s(0))),s(s(c2))). [ur(21,a,36,a,b,3371,a)]. 3.018/3.018 3.018/3.018 given #642 (T,wt=9): 3406 reds(plus(x,s(s(0))),s(s(x))). [ur(21,a,36,a,b,3376,a)]. 3.018/3.018 3.018/3.018 given #643 (A,wt=15): 139 red(plus(s(U11(tt,x,y)),z),plus(s(U12(tt,x,y)),z)). [ur(26,a,41,a)]. 3.018/3.018 3.018/3.018 given #644 (F,wt=12): 3252 -red(U22(tt,c2,c_N),plus(plus(x(c_N,c1),c_N),0)). [ur(21,b,90,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #645 (F,wt=12): 3318 -reds(x(c_N,s(c2)),U21(x,c1,c_N)) | -red(tt,x). [resolve(3156,b,24,b)]. 3.018/3.018 3.018/3.018 given #646 (F,wt=13): 2875 -red(s(c2),0) | -red(U22(tt,c1,c_N),U21(tt,0,0)). [resolve(2766,c,289,a)]. 3.018/3.018 3.018/3.018 given #647 (F,wt=13): 2877 -red(s(c2),0) | -red(U22(tt,c1,c_N),U22(tt,0,0)). [resolve(2766,c,287,a)]. 3.018/3.018 3.018/3.018 given #648 (T,wt=10): 366 reds(U22(tt,x,c1),plus(x(c1,x),c2)). [ur(21,a,34,a,b,257,a)]. 3.018/3.018 3.018/3.018 given #649 (T,wt=10): 417 reds(plus(U22(tt,x,0),0),x(0,x)). [ur(21,a,35,a,b,156,a)]. 3.018/3.018 3.018/3.018 given #650 (T,wt=10): 419 reds(plus(plus(U22(tt,0,0),0),0),0). [ur(21,a,35,a,b,288,a)]. 3.018/3.018 3.018/3.018 given #651 (T,wt=10): 420 reds(plus(plus(U21(tt,0,0),0),0),0). [ur(21,a,35,a,b,291,a)]. 3.018/3.018 3.018/3.018 given #652 (A,wt=17): 140 red(U22(s(U11(tt,x,y)),z,u),U22(s(U12(tt,x,y)),z,u)). [ur(25,a,41,a)]. 3.018/3.018 3.018/3.018 given #653 (F,wt=13): 3158 -red(x(c_N,s(c2)),x) | -reds(x,plus(x(c_N,c1),c_N)). [resolve(3157,a,21,c)]. 3.018/3.018 3.018/3.018 given #654 (F,wt=13): 3177 -red(U21(tt,c2,c_N),x) | -reds(x,plus(x(c_N,c1),c_N)). [resolve(3176,a,21,c)]. 3.018/3.018 3.018/3.018 given #655 (F,wt=13): 3236 -red(U22(tt,c2,c_N),x) | -reds(x,plus(x(c_N,c1),c_N)). [resolve(3195,a,21,c)]. 3.018/3.018 3.018/3.018 given #656 (F,wt=13): 3263 -red(plus(x(c_N,c2),c_N),plus(plus(x(c_N,c1),0),c_N)). [ur(21,b,609,a,c,3254,a)]. 3.018/3.018 3.018/3.018 given #657 (T,wt=10): 421 reds(plus(plus(x(0,s(0)),0),0),0). [ur(21,a,35,a,b,305,a)]. 3.018/3.018 3.018/3.018 given #658 (T,wt=10): 448 reds(plus(U21(tt,x,0),0),x(0,x)). [ur(21,a,35,a,b,418,a)]. 3.018/3.018 3.018/3.018 given #659 (T,wt=10): 466 reds(plus(x(0,s(x)),0),x(0,x)). [ur(21,a,35,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #660 (T,wt=9): 3516 reds(U22(tt,s(x),0),x(0,x)). [ur(21,a,34,a,b,466,a)]. 3.018/3.018 3.018/3.018 given #661 (A,wt=17): 141 red(U21(s(U11(tt,x,y)),z,u),U21(s(U12(tt,x,y)),z,u)). [ur(24,a,41,a)]. 3.018/3.018 3.018/3.018 given #662 (F,wt=9): 3498 -red(x(c_N,c2),plus(x(c_N,c1),0)). [resolve(3263,a,26,b)]. 3.018/3.018 3.018/3.018 given #663 (F,wt=13): 3266 -red(plus(x(c_N,c2),c_N),plus(x(c_N,c1),plus(c_N,0))). [ur(21,b,576,a,c,3254,a)]. 3.018/3.018 3.018/3.018 given #664 (F,wt=13): 3271 -red(plus(x(c_N,c2),c_N),plus(plus(x(c_N,c1),c_N),0)). [ur(21,b,90,a,c,3254,a)]. 3.018/3.018 3.018/3.018 given #665 (F,wt=13): 3491 -reds(x(c_N,x),plus(x(c_N,c1),c_N)) | -red(s(c2),x). [resolve(3158,a,29,b)]. 3.018/3.018 3.018/3.018 given #666 (T,wt=9): 3521 reds(U21(tt,s(x),0),x(0,x)). [ur(21,a,33,a,b,3516,a)]. 3.018/3.018 3.018/3.018 given #667 (T,wt=9): 3537 reds(x(0,s(s(x))),x(0,x)). [ur(21,a,38,a,b,3521,a)]. 3.018/3.018 3.018/3.018 given #668 (T,wt=10): 481 reds(x(0,plus(s(x),0)),x(0,x)). [ur(21,a,82,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #669 (T,wt=10): 512 reds(x(0,plus(plus(s(0),0),0)),0). [ur(21,a,82,a,b,484,a)]. 3.018/3.018 3.018/3.018 given #670 (A,wt=17): 142 red(U12(s(U11(tt,x,y)),z,u),U12(s(U12(tt,x,y)),z,u)). [ur(23,a,41,a)]. 3.018/3.018 3.018/3.018 given #671 (F,wt=13): 3492 -reds(x(x,s(c2)),plus(x(c_N,c1),c_N)) | -red(c_N,x). [resolve(3158,a,28,b)]. 3.018/3.018 3.018/3.018 given #672 (F,wt=13): 3494 -reds(U21(x,c2,c_N),plus(x(c_N,c1),c_N)) | -red(tt,x). [resolve(3177,a,24,b)]. 3.018/3.018 3.018/3.018 given #673 (F,wt=13): 3496 -reds(U22(x,c2,c_N),plus(x(c_N,c1),c_N)) | -red(tt,x). [resolve(3236,a,25,b)]. 3.018/3.018 3.018/3.018 given #674 (F,wt=13): 3533 -reds(x(c_N,s(x)),plus(x(c_N,c1),c_N)) | -red(c2,x). [resolve(3491,b,30,b)]. 3.018/3.018 3.018/3.018 given #675 (T,wt=10): 513 reds(plus(x(0,plus(s(0),0)),0),0). [ur(21,a,35,a,b,484,a)]. 3.018/3.018 3.018/3.018 given #676 (T,wt=9): 3580 reds(U22(tt,plus(s(0),0),0),0). [ur(21,a,34,a,b,513,a)]. 3.018/3.018 3.018/3.018 given #677 (T,wt=9): 3587 reds(U21(tt,plus(s(0),0),0),0). [ur(21,a,33,a,b,3580,a)]. 3.018/3.018 3.018/3.018 given #678 (T,wt=9): 3593 reds(x(0,s(plus(s(0),0))),0). [ur(21,a,38,a,b,3587,a)]. 3.018/3.018 3.018/3.018 given #679 (A,wt=17): 143 red(U11(s(U11(tt,x,y)),z,u),U11(s(U12(tt,x,y)),z,u)). [ur(22,a,41,a)]. 3.018/3.018 3.018/3.018 given #680 (F,wt=14): 2513 -reds(U21(tt,c1,c_N),x) | -red(x(c_N,s(c2)),plus(x,0)). [resolve(131,c,90,a)]. 3.018/3.018 3.018/3.018 given #681 (F,wt=14): 2566 -red(U22(tt,c1,c_N),plus(U22(tt,c2,c_N),x(0,s(0)))). [resolve(2548,a,1276,b)]. 3.018/3.018 3.018/3.018 given #682 (F,wt=14): 2567 -red(U21(tt,c1,c_N),plus(U22(tt,c2,c_N),x(0,s(0)))). [resolve(2548,a,1268,b)]. 3.018/3.018 3.018/3.018 given #683 (F,wt=14): 2569 -red(U22(tt,c1,c_N),plus(U21(tt,c2,c_N),x(0,s(0)))). [resolve(2548,a,846,b)]. 3.018/3.018 3.018/3.018 given #684 (T,wt=9): 3602 reds(x(0,U12(tt,0,s(0))),0). [ur(21,a,52,a,b,3593,a)]. 3.018/3.018 3.018/3.018 given #685 (T,wt=9): 3622 reds(x(0,U11(tt,0,s(0))),0). [ur(21,a,42,a,b,3602,a)]. 3.018/3.018 3.018/3.018 given #686 (T,wt=9): 3629 reds(x(0,plus(s(0),s(0))),0). [ur(21,a,92,a,b,3622,a)]. 3.018/3.018 3.018/3.018 given #687 (T,wt=10): 523 reds(x(plus(0,0),plus(s(0),0)),0). [ur(21,a,83,a,b,484,a)]. 3.018/3.018 3.018/3.018 given #688 (A,wt=11): 144 reds(s(U11(tt,x,y)),s(U12(tt,x,y))). [ur(21,a,41,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #689 (F,wt=14): 2570 -red(U21(tt,c1,c_N),plus(U21(tt,c2,c_N),x(0,s(0)))). [resolve(2548,a,839,b)]. 3.018/3.018 3.018/3.018 given #690 (F,wt=14): 2572 -red(U22(tt,c2,c_N),plus(U22(tt,c1,c_N),x(0,s(0)))). [resolve(2548,a,544,b)]. 3.018/3.018 3.018/3.018 given #691 (F,wt=14): 2573 -red(U21(tt,c2,c_N),plus(U22(tt,c1,c_N),x(0,s(0)))). [resolve(2548,a,505,b)]. 3.018/3.018 3.018/3.018 given #692 (F,wt=14): 2574 -red(x(c_N,s(c2)),plus(U22(tt,c1,c_N),x(0,s(0)))). [resolve(2548,a,500,b)]. 3.018/3.018 3.018/3.018 given #693 (T,wt=10): 524 reds(x(plus(0,0),s(x)),x(0,x)). [ur(21,a,83,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #694 (T,wt=10): 531 reds(x(plus(plus(0,0),0),s(0)),0). [ur(21,a,83,a,b,527,a)]. 3.018/3.018 3.018/3.018 given #695 (T,wt=10): 532 reds(plus(x(plus(0,0),s(0)),0),0). [ur(21,a,35,a,b,527,a)]. 3.018/3.018 3.018/3.018 given #696 (T,wt=10): 565 reds(plus(x(0,s(0)),plus(0,0)),0). [ur(21,a,84,a,b,305,a)]. 3.018/3.018 3.018/3.018 given #697 (A,wt=11): 166 red(U22(s(c1),x,y),U22(s(c2),x,y)). [ur(25,a,121,a)]. 3.018/3.018 3.018/3.018 given #698 (F,wt=14): 2578 -red(U22(tt,c2,c_N),plus(U21(tt,c1,c_N),x(0,s(0)))). [resolve(2548,a,218,b)]. 3.018/3.018 3.018/3.018 given #699 (F,wt=14): 2579 -red(U21(tt,c2,c_N),plus(U21(tt,c1,c_N),x(0,s(0)))). [resolve(2548,a,181,b)]. 3.018/3.018 3.018/3.018 given #700 (F,wt=14): 2580 -red(U22(tt,c1,c_N),plus(x(c_N,s(c2)),x(0,s(0)))). [resolve(2548,a,151,b)]. 3.018/3.018 3.018/3.018 given #701 (F,wt=14): 2581 -red(x(c_N,s(c2)),plus(U21(tt,c1,c_N),x(0,s(0)))). [resolve(2548,a,148,b)]. 3.018/3.018 3.018/3.018 given #702 (T,wt=10): 566 reds(plus(U21(tt,0,0),plus(0,0)),0). [ur(21,a,84,a,b,291,a)]. 3.018/3.018 3.018/3.018 given #703 (T,wt=10): 567 reds(plus(U22(tt,0,0),plus(0,0)),0). [ur(21,a,84,a,b,288,a)]. 3.018/3.018 3.018/3.018 given #704 (T,wt=10): 657 reds(x(x(x,0),plus(s(0),0)),0). [ur(21,a,103,a,b,484,a)]. 3.018/3.018 3.018/3.018 given #705 (T,wt=10): 658 reds(x(x(x,0),s(y)),x(0,y)). [ur(21,a,103,a,b,447,a)]. 3.018/3.018 3.018/3.018 given #706 (A,wt=11): 167 red(U21(s(c1),x,y),U21(s(c2),x,y)). [ur(24,a,121,a)]. 3.018/3.018 3.018/3.018 given #707 (F,wt=14): 2582 -red(U21(tt,c1,c_N),plus(x(c_N,s(c2)),x(0,s(0)))). [resolve(2548,a,145,b)]. 3.018/3.018 3.018/3.018 given #708 (F,wt=14): 2726 -red(s(c2),0) | -red(U21(tt,c1,c_N),plus(0,x(x,0))). [resolve(2649,c,699,a)]. 3.018/3.018 3.018/3.018 given #709 (F,wt=14): 2733 -red(s(c2),0) | -red(U21(tt,c1,c_N),x(x,x(y,0))). [resolve(2649,c,644,a)]. 3.018/3.018 3.018/3.018 given #710 (F,wt=14): 2736 -red(s(c2),0) | -red(U21(tt,c1,c_N),plus(0,plus(0,0))). [resolve(2649,c,575,a)]. 3.018/3.018 3.018/3.018 given #711 (T,wt=10): 679 reds(x(plus(x(x,0),0),s(0)),0). [ur(21,a,83,a,b,660,a)]. 3.018/3.018 3.018/3.018 given #712 (T,wt=9): 3725 reds(x(U22(tt,0,0),s(0)),0). [ur(21,a,73,a,b,679,a)]. 3.018/3.018 3.018/3.018 given #713 (T,wt=9): 3733 reds(x(U21(tt,0,0),s(0)),0). [ur(21,a,63,a,b,3725,a)]. 3.018/3.018 3.018/3.018 given #714 (T,wt=9): 3739 reds(x(x(0,s(0)),s(0)),0). [ur(21,a,113,a,b,3733,a)]. 3.018/3.018 3.018/3.018 given #715 (A,wt=11): 168 red(U12(s(c1),x,y),U12(s(c2),x,y)). [ur(23,a,121,a)]. 3.018/3.018 3.018/3.018 given #716 (F,wt=14): 2743 -red(s(c2),0) | -red(U21(tt,c1,c_N),x(x,plus(0,0))). [resolve(2649,c,487,a)]. 3.018/3.018 3.018/3.018 given #717 (F,wt=14): 2748 -red(s(c2),0) | -red(U21(tt,c1,c_N),x(0,s(s(0)))). [resolve(2649,c,444,a)]. 3.018/3.018 3.018/3.018 given #718 (F,wt=14): 2749 -red(s(c2),0) | -red(U21(tt,c1,c_N),U21(tt,s(0),0)). [resolve(2649,c,443,a)]. 3.018/3.018 3.018/3.018 given #719 (F,wt=14): 2751 -red(s(c2),0) | -red(U21(tt,c1,c_N),U22(tt,s(0),0)). [resolve(2649,c,422,a)]. 3.018/3.018 3.018/3.018 given #720 (T,wt=10): 680 reds(plus(x(x(x,0),s(0)),0),0). [ur(21,a,35,a,b,660,a)]. 3.018/3.018 3.018/3.018 given #721 (T,wt=10): 690 reds(plus(x(0,s(0)),x(x,0)),0). [ur(21,a,104,a,b,305,a)]. 3.018/3.018 3.018/3.018 given #722 (T,wt=10): 691 reds(plus(U21(tt,0,0),x(x,0)),0). [ur(21,a,104,a,b,291,a)]. 3.018/3.018 3.018/3.018 given #723 (T,wt=10): 692 reds(plus(U22(tt,0,0),x(x,0)),0). [ur(21,a,104,a,b,288,a)]. 3.018/3.018 3.018/3.018 given #724 (A,wt=11): 169 red(U11(s(c1),x,y),U11(s(c2),x,y)). [ur(22,a,121,a)]. 3.018/3.018 3.018/3.018 given #725 (F,wt=14): 2760 -red(s(c2),0) | -red(U21(tt,c1,c_N),plus(x(x,0),0)). [resolve(2649,c,160,a)]. 3.018/3.018 3.018/3.018 given #726 (F,wt=14): 2761 -red(s(c2),0) | -red(U21(tt,c1,c_N),plus(plus(0,0),0)). [resolve(2649,c,155,a)]. 3.018/3.018 3.018/3.018 given #727 (F,wt=14): 2846 -red(s(c2),0) | -red(U22(tt,c1,c_N),plus(0,x(x,0))). [resolve(2766,c,699,a)]. 3.018/3.018 3.018/3.018 given #728 (F,wt=14): 2853 -red(s(c2),0) | -red(U22(tt,c1,c_N),x(x,x(y,0))). [resolve(2766,c,644,a)]. 3.018/3.018 3.018/3.018 given #729 (T,wt=10): 825 reds(x(x(x,0),s(c1)),x(0,c2)). [ur(21,a,103,a,b,821,a)]. 3.018/3.018 3.018/3.018 given #730 (T,wt=10): 826 reds(x(plus(0,0),s(c1)),x(0,c2)). [ur(21,a,83,a,b,821,a)]. 3.018/3.018 3.018/3.018 given #731 (T,wt=10): 827 reds(x(0,plus(s(c1),0)),x(0,c2)). [ur(21,a,82,a,b,821,a)]. 3.018/3.018 3.018/3.018 given #732 (T,wt=10): 828 reds(plus(x(0,s(c1)),0),x(0,c2)). [ur(21,a,35,a,b,821,a)]. 3.018/3.018 3.018/3.018 given #733 (A,wt=15): 171 red(s(x(x,U11(tt,y,z))),s(x(x,U12(tt,y,z)))). [ur(30,a,42,a)]. 3.018/3.018 3.018/3.018 given #734 (F,wt=14): 2856 -red(s(c2),0) | -red(U22(tt,c1,c_N),plus(0,plus(0,0))). [resolve(2766,c,575,a)]. 3.018/3.018 3.018/3.018 given #735 (F,wt=14): 2863 -red(s(c2),0) | -red(U22(tt,c1,c_N),x(x,plus(0,0))). [resolve(2766,c,487,a)]. 3.018/3.018 3.018/3.018 given #736 (F,wt=14): 2868 -red(s(c2),0) | -red(U22(tt,c1,c_N),x(0,s(s(0)))). [resolve(2766,c,444,a)]. 3.018/3.018 3.018/3.018 given #737 (F,wt=14): 2869 -red(s(c2),0) | -red(U22(tt,c1,c_N),U21(tt,s(0),0)). [resolve(2766,c,443,a)]. 3.018/3.018 3.018/3.018 given #738 (T,wt=9): 3814 reds(U22(tt,s(c1),0),x(0,c2)). [ur(21,a,34,a,b,828,a)]. 3.018/3.018 3.018/3.018 given #739 (T,wt=9): 3830 reds(U21(tt,s(c1),0),x(0,c2)). [ur(21,a,33,a,b,3814,a)]. 3.018/3.018 3.018/3.018 given #740 (T,wt=9): 3834 reds(x(0,s(s(c1))),x(0,c2)). [ur(21,a,38,a,b,3830,a)]. 3.018/3.018 3.018/3.018 given #741 (T,wt=10): 1090 reds(plus(U22(tt,c1,0),0),x(0,c2)). [ur(21,a,35,a,b,1089,a)]. 3.018/3.018 3.018/3.018 given #742 (A,wt=17): 172 red(x(x,x(y,U11(tt,z,u))),x(x,x(y,U12(tt,z,u)))). [ur(29,a,42,a)]. 3.018/3.018 3.018/3.018 given #743 (F,wt=14): 2871 -red(s(c2),0) | -red(U22(tt,c1,c_N),U22(tt,s(0),0)). [resolve(2766,c,422,a)]. 3.018/3.018 3.018/3.018 given #744 (F,wt=14): 2880 -red(s(c2),0) | -red(U22(tt,c1,c_N),plus(x(x,0),0)). [resolve(2766,c,160,a)]. 3.018/3.018 3.018/3.018 given #745 (F,wt=14): 2881 -red(s(c2),0) | -red(U22(tt,c1,c_N),plus(plus(0,0),0)). [resolve(2766,c,155,a)]. 3.018/3.018 3.018/3.018 given #746 (F,wt=14): 2886 -red(s(c2),0) | -red(plus(x(c_N,c1),c_N),x) | -reds(x,0). [resolve(2816,b,21,c)]. 3.018/3.018 3.018/3.018 given #747 (T,wt=10): 1092 reds(plus(U21(tt,c1,0),0),x(0,c2)). [ur(21,a,35,a,b,1091,a)]. 3.018/3.018 3.018/3.018 given #748 (T,wt=10): 1204 reds(s(U22(tt,x,0)),s(x(0,x))). [ur(21,a,71,a,b,197,a)]. 3.018/3.018 3.018/3.018 given #749 (T,wt=10): 1206 reds(plus(U22(tt,s(s(0)),0),0),0). [ur(21,a,35,a,b,1193,a)]. 3.018/3.018 3.018/3.018 given #750 (T,wt=10): 1208 reds(s(plus(U22(tt,0,0),0)),s(0)). [ur(21,a,81,a,b,1203,a)]. 3.018/3.018 3.018/3.018 given #751 (A,wt=17): 173 red(x(x(x,U11(tt,y,z)),u),x(x(x,U12(tt,y,z)),u)). [ur(28,a,42,a)]. 3.018/3.018 3.018/3.018 given #752 (F,wt=11): 3957 -red(s(c2),0) | -red(plus(x(c_N,c1),c_N),0). [resolve(2886,c,20,a)]. 3.018/3.018 3.018/3.018 given #753 (F,wt=13): 3954 -red(s(c2),0) | -red(plus(x(c_N,c1),c_N),x(x,0)). [resolve(2886,c,110,a)]. 3.018/3.018 3.018/3.018 given #754 (F,wt=13): 3955 -red(s(c2),0) | -red(plus(x(c_N,c1),c_N),plus(0,0)). [resolve(2886,c,90,a)]. 3.018/3.018 3.018/3.018 given #755 (F,wt=14): 3141 -reds(x(c_N,s(c2)),s(c2)) | -red(U21(tt,c1,c_N),s(c1)). [resolve(133,c,170,a)]. 3.018/3.018 3.018/3.018 given #756 (T,wt=10): 1210 reds(plus(s(U22(tt,0,0)),0),s(0)). [ur(21,a,35,a,b,1203,a)]. 3.018/3.018 3.018/3.018 given #757 (T,wt=10): 1212 reds(plus(U21(tt,s(s(0)),0),0),0). [ur(21,a,35,a,b,1207,a)]. 3.018/3.018 3.018/3.018 given #758 (T,wt=10): 1213 reds(s(plus(U21(tt,0,0),0)),s(0)). [ur(21,a,81,a,b,1209,a)]. 3.018/3.018 3.018/3.018 given #759 (T,wt=10): 1214 reds(plus(s(U21(tt,0,0)),0),s(0)). [ur(21,a,35,a,b,1209,a)]. 3.018/3.018 3.018/3.018 given #760 (A,wt=17): 174 red(plus(x,x(y,U11(tt,z,u))),plus(x,x(y,U12(tt,z,u)))). [ur(27,a,42,a)]. 3.018/3.018 3.018/3.018 given #761 (F,wt=14): 3145 -reds(x(c_N,s(c2)),c2) | -red(U21(tt,c1,c_N),plus(c1,0)). [resolve(133,c,154,a)]. 3.018/3.018 3.018/3.018 given #762 (F,wt=14): 3148 -reds(x(c_N,s(c2)),0) | -red(U21(tt,c1,c_N),x(x,0)). [resolve(133,c,110,a)]. 3.018/3.018 3.018/3.018 given #763 (F,wt=14): 3150 -reds(x(c_N,s(c2)),x) | -red(U21(tt,c1,c_N),plus(x,0)). [resolve(133,c,90,a)]. 3.018/3.018 3.018/3.018 given #764 (F,wt=14): 3164 -red(x(c_N,s(c2)),plus(plus(x(c_N,c1),c_N),x(x,0))). [ur(21,b,699,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #765 (T,wt=10): 1233 reds(x(x(x,0),s(s(s(0)))),0). [ur(21,a,103,a,b,1211,a)]. 3.018/3.018 3.018/3.018 given #766 (T,wt=10): 1234 reds(x(plus(0,0),s(s(s(0)))),0). [ur(21,a,83,a,b,1211,a)]. 3.018/3.018 3.018/3.018 given #767 (T,wt=10): 1235 reds(x(0,plus(s(s(s(0))),0)),0). [ur(21,a,82,a,b,1211,a)]. 3.018/3.018 3.018/3.018 given #768 (T,wt=10): 1236 reds(plus(x(0,s(s(s(0)))),0),0). [ur(21,a,35,a,b,1211,a)]. 3.018/3.018 3.018/3.018 given #769 (A,wt=17): 175 red(plus(x(x,U11(tt,y,z)),u),plus(x(x,U12(tt,y,z)),u)). [ur(26,a,42,a)]. 3.018/3.018 3.018/3.018 given #770 (F,wt=14): 3170 -red(x(c_N,s(c2)),plus(plus(x(c_N,c1),c_N),plus(0,0))). [ur(21,b,575,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #771 (F,wt=14): 3173 -red(x(c_N,s(c2)),plus(plus(plus(x(c_N,c1),c_N),0),0)). [ur(21,b,155,a,c,3157,a)]. 3.018/3.018 3.018/3.018 given #772 (F,wt=14): 3183 -red(U21(tt,c2,c_N),plus(plus(x(c_N,c1),c_N),x(x,0))). [ur(21,b,699,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #773 (F,wt=14): 3189 -red(U21(tt,c2,c_N),plus(plus(x(c_N,c1),c_N),plus(0,0))). [ur(21,b,575,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #774 (T,wt=9): 4074 reds(U22(tt,s(s(s(0))),0),0). [ur(21,a,34,a,b,1236,a)]. 3.018/3.018 3.018/3.018 given #775 (T,wt=9): 4115 reds(U21(tt,s(s(s(0))),0),0). [ur(21,a,33,a,b,4074,a)]. 3.018/3.018 3.018/3.018 given #776 (T,wt=9): 4122 reds(x(0,s(s(s(s(0))))),0). [ur(21,a,38,a,b,4115,a)]. 3.018/3.018 3.018/3.018 given #777 (T,wt=10): 1338 reds(plus(U22(tt,plus(0,0),0),0),0). [ur(21,a,35,a,b,1337,a)]. 3.018/3.018 3.018/3.018 given #778 (A,wt=19): 176 red(U22(x(x,U11(tt,y,z)),u,w),U22(x(x,U12(tt,y,z)),u,w)). [ur(25,a,42,a)]. 3.018/3.018 3.018/3.018 given #779 (F,wt=14): 3192 -red(U21(tt,c2,c_N),plus(plus(plus(x(c_N,c1),c_N),0),0)). [ur(21,b,155,a,c,3176,a)]. 3.018/3.018 3.018/3.018 given #780 (F,wt=14): 3242 -red(U22(tt,c2,c_N),plus(plus(x(c_N,c1),c_N),x(x,0))). [ur(21,b,699,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #781 (F,wt=14): 3248 -red(U22(tt,c2,c_N),plus(plus(x(c_N,c1),c_N),plus(0,0))). [ur(21,b,575,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #782 (F,wt=14): 3251 -red(U22(tt,c2,c_N),plus(plus(plus(x(c_N,c1),c_N),0),0)). [ur(21,b,155,a,c,3195,a)]. 3.018/3.018 3.018/3.018 given #783 (T,wt=10): 1341 reds(plus(U21(tt,plus(0,0),0),0),0). [ur(21,a,35,a,b,1339,a)]. 3.018/3.018 3.018/3.018 given #784 (T,wt=10): 1365 reds(x(x(x,0),s(plus(0,0))),0). [ur(21,a,103,a,b,1340,a)]. 3.018/3.018 3.018/3.018 given #785 (T,wt=10): 1366 reds(x(plus(0,0),s(plus(0,0))),0). [ur(21,a,83,a,b,1340,a)]. 3.018/3.018 3.018/3.018 given #786 (T,wt=10): 1367 reds(x(0,plus(s(plus(0,0)),0)),0). [ur(21,a,82,a,b,1340,a)]. 3.018/3.018 3.018/3.018 given #787 (A,wt=19): 177 red(U21(x(x,U11(tt,y,z)),u,w),U21(x(x,U12(tt,y,z)),u,w)). [ur(24,a,42,a)]. 3.018/3.018 3.018/3.018 given #788 (F,wt=14): 3255 -red(plus(x(c_N,c2),c_N),x) | -reds(x,plus(x(c_N,c1),c_N)). [resolve(3254,a,21,c)]. 3.018/3.018 3.018/3.018 given #789 (F,wt=14): 3862 -red(s(c2),0) | -reds(plus(x(c_N,c1),x),0) | -red(c_N,x). [resolve(2886,b,27,b)]. 3.018/3.018 3.018/3.018 given #790 (F,wt=14): 3863 -red(s(c2),0) | -reds(plus(x,c_N),0) | -red(x(c_N,c1),x). [resolve(2886,b,26,b)]. 3.018/3.018 3.018/3.018 given #791 (F,wt=11): 4197 -red(s(c2),0) | -reds(plus(x(c_N,c2),c_N),0). [resolve(3863,c,122,a)]. 3.018/3.018 3.018/3.018 given #792 (T,wt=10): 1369 reds(plus(x(0,s(plus(0,0))),0),0). [ur(21,a,35,a,b,1340,a)]. 3.018/3.018 3.018/3.018 given #793 (T,wt=9): 4209 reds(U22(tt,s(plus(0,0)),0),0). [ur(21,a,34,a,b,1369,a)]. 3.018/3.018 3.018/3.018 given #794 (T,wt=9): 4217 reds(U21(tt,s(plus(0,0)),0),0). [ur(21,a,33,a,b,4209,a)]. 3.018/3.018 3.018/3.018 given #795 (T,wt=9): 4224 reds(x(0,s(s(plus(0,0)))),0). [ur(21,a,38,a,b,4217,a)]. 3.018/3.018 3.018/3.018 given #796 (A,wt=19): 178 red(U12(x(x,U11(tt,y,z)),u,w),U12(x(x,U12(tt,y,z)),u,w)). [ur(23,a,42,a)]. 3.018/3.018 3.018/3.018 given #797 (F,wt=14): 3946 -red(s(c2),0) | -red(plus(x(c_N,c1),c_N),x(0,s(0))). [resolve(2886,c,290,a)]. 3.018/3.018 3.018/3.018 given #798 (F,wt=14): 3947 -red(s(c2),0) | -red(plus(x(c_N,c1),c_N),U21(tt,0,0)). [resolve(2886,c,289,a)]. 3.018/3.018 3.018/3.018 given #799 (F,wt=14): 3949 -red(s(c2),0) | -red(plus(x(c_N,c1),c_N),U22(tt,0,0)). [resolve(2886,c,287,a)]. 3.018/3.018 3.018/3.018 given #800 (F,wt=14): 4192 -reds(plus(x(c_N,c2),x),plus(x(c_N,c1),c_N)) | -red(c_N,x). [resolve(3255,a,27,b)]. 3.018/3.018 3.018/3.018 given #801 (T,wt=10): 1370 reds(x(x(x,0),U12(tt,0,0)),0). [ur(21,a,103,a,b,1368,a)]. 3.018/3.018 3.018/3.018 given #802 (T,wt=10): 1371 reds(x(plus(0,0),U12(tt,0,0)),0). [ur(21,a,83,a,b,1368,a)]. 3.018/3.018 3.018/3.018 given #803 (T,wt=10): 1372 reds(x(0,plus(U12(tt,0,0),0)),0). [ur(21,a,82,a,b,1368,a)]. 3.018/3.018 3.018/3.018 given #804 (T,wt=10): 1374 reds(plus(x(0,U12(tt,0,0)),0),0). [ur(21,a,35,a,b,1368,a)]. 3.018/3.018 3.018/3.018 given #805 (A,wt=19): 179 red(U11(x(x,U11(tt,y,z)),u,w),U11(x(x,U12(tt,y,z)),u,w)). [ur(22,a,42,a)]. 3.018/3.018 3.018/3.018 given #806 (F,wt=14): 4193 -reds(plus(x,c_N),plus(x(c_N,c1),c_N)) | -red(x(c_N,c2),x). [resolve(3255,a,26,b)]. 3.018/3.018 3.018/3.018 given #807 (F,wt=14): 4198 -red(s(c2),0) | -reds(plus(x(c_N,x),c_N),0) | -red(c1,x). [resolve(3863,c,29,b)]. 3.018/3.018 3.018/3.018 given #808 (F,wt=14): 4199 -red(s(c2),0) | -reds(plus(x(x,c1),c_N),0) | -red(c_N,x). [resolve(3863,c,28,b)]. 3.018/3.018 3.018/3.018 given #809 (F,wt=14): 4200 -red(s(c2),0) | -red(plus(x(c_N,c2),c_N),x) | -reds(x,0). [resolve(4197,b,21,c)]. 3.018/3.018 3.018/3.018 given #810 (T,wt=9): 4277 reds(U22(tt,U12(tt,0,0),0),0). [ur(21,a,34,a,b,1374,a)]. 3.018/3.018 3.018/3.018 given #811 (T,wt=9): 4419 reds(U21(tt,U12(tt,0,0),0),0). [ur(21,a,33,a,b,4277,a)]. 3.018/3.018 3.018/3.018 given #812 (T,wt=9): 4427 reds(x(0,s(U12(tt,0,0))),0). [ur(21,a,38,a,b,4419,a)]. 3.018/3.018 3.018/3.018 given #813 (T,wt=9): 4435 reds(x(0,s(U11(tt,0,0))),0). [ur(21,a,136,a,b,4427,a)]. 3.018/3.018 3.018/3.018 given #814 (A,wt=13): 180 reds(x(x,U11(tt,y,z)),x(x,U12(tt,y,z))). [ur(21,a,42,a,b,20,a)]. 3.018/3.018 3.018/3.018 given #815 (F,wt=11): 4410 -red(s(c2),0) | -red(plus(x(c_N,c2),c_N),0). [resolve(4200,c,20,a)]. 3.018/3.018 3.018/3.018 given #816 (F,wt=13): 4407 -red(s(c2),0) | -red(plus(x(c_N,c2),c_N),x(x,0)). [resolve(4200,c,110,a)]. 3.018/3.018 3.018/3.018 given #817 (F,wt=13): 4408 -red(s(c2),0) | -red(plus(x(c_N,c2),c_N),plus(0,0)). [resolve(4200,c,90,a)]. 3.018/3.018 3.018/3.018 given #818 (F,wt=14): 4289 -reds(plus(x(c_N,x),c_N),plus(x(c_N,c1),c_N)) | -red(c2,x). [resolve(4193,b,29,b)]. 3.018/3.018 3.018/3.018 given #819 (T,wt=10): 1375 reds(x(x(x,0),U11(tt,0,0)),0). [ur(21,a,103,a,b,1373,a)]. 3.018/3.018 3.018/3.018 given #820 (T,wt=10): 1376 reds(x(plus(0,0),U11(tt,0,0)),0). [ur(21,a,83,a,b,1373,a)]. 3.018/3.018 3.018/3.018 given #821 (T,wt=10): 1377 reds(x(0,plus(U11(tt,0,0),0)),0). [ur(21,a,82,a,b,1373,a)]. 3.018/3.018 3.018/3.018 given #822 (T,wt=10): 1378 reds(plus(x(0,U11(tt,0,0)),0),0). [ur(21,a,35,a,b,1373,a)]. 3.018/3.018 3.018/3.018 given #823 (A,wt=11): 188 red(x(x,s(plus(y,0))),x(x,s(y))). [ur(29,a,81,a)]. 3.018/3.018 3.018/3.018 given #824 (F,wt=14): 4290 -reds(plus(x(x,c2),c_N),plus(x(c_N,c1),c_N)) | -red(c_N,x). [resolve(4193,b,28,b)]. 3.018/3.018 3.018/3.018 given #825 (F,wt=14): 4293 -red(s(c2),0) | -reds(plus(x(c_N,c2),x),0) | -red(c_N,x). [resolve(4200,b,27,b)]. 3.018/3.018 3.018/3.018 given #826 (F,wt=14): 4294 -red(s(c2),0) | -reds(plus(x,c_N),0) | -red(x(c_N,c2),x). [resolve(4200,b,26,b)]. 3.018/3.018 3.018/3.018 given #827 (F,wt=14): 4399 -red(s(c2),0) | -red(plus(x(c_N,c2),c_N),x(0,s(0))). [resolve(4200,c,290,a)]. 3.018/3.018 3.018/3.018 given #828 (T,wt=9): 4498 reds(U22(tt,U11(tt,0,0),0),0). [ur(21,a,34,a,b,1378,a)]. 3.018/3.018 3.018/3.018 given #829 (T,wt=9): 4563 reds(U21(tt,U11(tt,0,0),0),0). [ur(21,a,33,a,b,4498,a)]. 3.018/3.018 3.018/3.018 given #830 (T,wt=10): 1502 reds(plus(U22(tt,0,plus(0,0)),0),0). [ur(21,a,35,a,b,1480,a)]. 3.018/3.018 3.018/3.018 given #831 (T,wt=10): 1504 reds(plus(U21(tt,0,plus(0,0)),0),0). [ur(21,a,35,a,b,1503,a)]. 3.018/3.018 3.018/3.018 given #832 (A,wt=11): 189 red(x(s(plus(x,0)),y),x(s(x),y)). [ur(28,a,81,a)]. 3.018/3.018 3.018/3.018 given #833 (F,wt=14): 4400 -red(s(c2),0) | -red(plus(x(c_N,c2),c_N),U21(tt,0,0)). [resolve(4200,c,289,a)]. 3.018/3.018 3.018/3.018 given #834 (F,wt=14): 4402 -red(s(c2),0) | -red(plus(x(c_N,c2),c_N),U22(tt,0,0)). [resolve(4200,c,287,a)]. 3.018/3.018 3.018/3.018 given #835 (F,wt=14): 4553 -red(s(c2),0) | -reds(plus(x(c_N,x),c_N),0) | -red(c2,x). [resolve(4294,c,29,b)]. 3.018/3.018 3.018/3.018 given #836 (F,wt=14): 4554 -red(s(c2),0) | -reds(plus(x(x,c2),c_N),0) | -red(c_N,x). [resolve(4294,c,28,b)]. 3.018/3.018 3.018/3.018 given #837 (T,wt=10): 1538 reds(U21(tt,x,y),plus(x(y,x),y)). [ur(21,a,33,a,b,80,a)]. 3.018/3.018 3.018/3.018 given #838 (T,wt=10): 1604 reds(U22(plus(tt,0),0,plus(0,0)),0). [ur(21,a,86,a,b,1480,a)]. 3.018/3.018 3.018/3.018 given #839 (T,wt=10): 1605 reds(U22(plus(tt,0),plus(0,0),0),0). [ur(21,a,86,a,b,1337,a)]. 3.018/3.018 3.018/3.018 given #840 (T,wt=10): 1606 reds(U22(plus(tt,0),s(s(0)),0),0). [ur(21,a,86,a,b,1193,a)]. 3.018/3.018 3.018/3.018 given #841 (A,wt=11): 190 red(plus(x,s(plus(y,0))),plus(x,s(y))). [ur(27,a,81,a)]. 3.018/3.018 3.018/3.018 given #842 (F,wt=10): 4616 -reds(U21(tt,c1,c_N),plus(x(c_N,c2),c_N)). [resolve(1538,a,2316,b)]. 3.018/3.018 3.018/3.018 given #843 (F,wt=10): 4700 -red(U21(tt,c1,c_N),plus(x(c_N,c2),c_N)). [ur(21,b,20,a,c,4616,a)]. 3.018/3.018 3.018/3.018 given #844 (F,wt=10): 4701 -reds(U22(tt,c1,c_N),plus(x(c_N,c2),c_N)). [ur(21,a,33,a,c,4616,a)]. 3.018/3.018 3.018/3.018 given #845 (F,wt=10): 4719 -red(U22(tt,c1,c_N),plus(x(c_N,c2),c_N)). [ur(21,b,20,a,c,4701,a)]. 3.018/3.018 3.018/3.018 given #846 (T,wt=9): 4678 reds(plus(x,s(plus(0,0))),s(x)). [ur(21,a,190,a,b,410,a)]. 3.018/3.018 3.018/3.018 given #847 (T,wt=9): 4679 reds(plus(c1,s(plus(0,0))),s(c2)). [ur(21,a,190,a,b,408,a)]. 3.018/3.018 3.018/3.018 given #848 (T,wt=9): 4732 reds(plus(x,U12(tt,0,0)),s(x)). [ur(21,a,54,a,b,4678,a)]. 3.018/3.018 3.018/3.018 given #849 (T,wt=9): 4740 reds(plus(c1,U12(tt,0,0)),s(c2)). [ur(21,a,54,a,b,4679,a)]. 3.018/3.018 3.018/3.018 given #850 (A,wt=11): 191 red(plus(s(plus(x,0)),y),plus(s(x),y)). [ur(26,a,81,a)]. 3.018/3.018 3.018/3.018 given #851 (F,wt=11): 4720 -reds(plus(x(c_N,c1),c_N),plus(x(c_N,c2),c_N)). [ur(21,a,34,a,c,4701,a)]. 3.018/3.018 3.018/3.018 ============================== PROOF ================================= 3.018/3.018 3.018/3.018 % Proof 1 at 0.19 (+ 0.00) seconds. 3.018/3.018 % Length of proof is 26. 3.018/3.018 % Level of proof is 7. 3.018/3.018 % Maximum clause weight is 15.000. 3.018/3.018 % Given clauses 851. 3.018/3.018 3.018/3.018 1 red(x,y) & reds(y,z) -> reds(x,z) # label(non_clause). [assumption]. 3.018/3.018 6 red(x,y) -> red(plus(x,z2),plus(y,z2)) # label(non_clause). [assumption]. 3.018/3.018 9 red(x,y) -> red(x(z1,x),x(z1,y)) # label(non_clause). [assumption]. 3.018/3.018 13 (all M all N red(U21(tt,M,N),U22(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 14 (all M all N red(U22(tt,M,N),plus(x(N,M),N))) # label(non_clause). [assumption]. 3.018/3.018 18 (all M all N red(x(N,s(M)),U21(tt,M,N))) # label(non_clause). [assumption]. 3.018/3.018 19 (all M all y exists z (red(M,y) -> reds(x(c_N,s(y)),z) & reds(U21(tt,M,c_N),z))) # label(non_clause) # label(goal). [goal]. 3.018/3.018 20 reds(x,x). [assumption]. 3.018/3.018 21 -red(x,y) | -reds(y,z) | reds(x,z). [clausify(1)]. 3.018/3.018 26 -red(x,y) | red(plus(x,z),plus(y,z)). [clausify(6)]. 3.018/3.018 29 -red(x,y) | red(x(z,x),x(z,y)). [clausify(9)]. 3.018/3.018 33 red(U21(tt,x,y),U22(tt,x,y)). [clausify(13)]. 3.018/3.018 34 red(U22(tt,x,y),plus(x(y,x),y)). [clausify(14)]. 3.018/3.018 38 red(x(x,s(y)),U21(tt,y,x)). [clausify(18)]. 3.018/3.018 39 red(c1,c2). [deny(19)]. 3.018/3.018 40 -reds(x(c_N,s(c2)),x) | -reds(U21(tt,c1,c_N),x). [deny(19)]. 3.018/3.018 80 reds(U22(tt,x,y),plus(x(y,x),y)). [ur(21,a,34,a,b,20,a)]. 3.018/3.018 122 red(x(x,c1),x(x,c2)). [ur(29,a,39,a)]. 3.018/3.018 131 -reds(U21(tt,c1,c_N),x) | -red(x(c_N,s(c2)),y) | -reds(y,x). [resolve(40,a,21,c)]. 3.018/3.018 232 red(plus(x(x,c1),y),plus(x(x,c2),y)). [ur(26,a,122,a)]. 3.018/3.018 1538 reds(U21(tt,x,y),plus(x(y,x),y)). [ur(21,a,33,a,b,80,a)]. 3.018/3.018 2316 -reds(U21(tt,c1,c_N),x) | -reds(U21(tt,c2,c_N),x). [resolve(131,b,38,a)]. 3.018/3.018 4616 -reds(U21(tt,c1,c_N),plus(x(c_N,c2),c_N)). [resolve(1538,a,2316,b)]. 3.018/3.018 4701 -reds(U22(tt,c1,c_N),plus(x(c_N,c2),c_N)). [ur(21,a,33,a,c,4616,a)]. 3.018/3.018 4720 -reds(plus(x(c_N,c1),c_N),plus(x(c_N,c2),c_N)). [ur(21,a,34,a,c,4701,a)]. 3.018/3.018 4816 $F. [ur(21,b,20,a,c,4720,a),unit_del(a,232)]. 3.018/3.018 3.018/3.018 ============================== end of proof ========================== 3.018/3.018 3.018/3.018 ============================== STATISTICS ============================ 3.018/3.018 3.018/3.018 Given=851. Generated=6303. Kept=4796. proofs=1. 3.018/3.018 Usable=851. Sos=3928. Demods=0. Limbo=17, Disabled=21. Hints=0. 3.018/3.018 Kept_by_rule=0, Deleted_by_rule=0. 3.018/3.018 Forward_subsumed=1506. Back_subsumed=0. 3.018/3.018 Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. 3.018/3.018 New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. 3.018/3.018 Demod_attempts=0. Demod_rewrites=0. 3.018/3.018 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. 3.018/3.018 Nonunit_fsub_feature_tests=19074. Nonunit_bsub_feature_tests=705. 3.018/3.018 Megabytes=8.75. 3.018/3.018 User_CPU=0.19, System_CPU=0.00, Wall_clock=1. 3.018/3.018 3.018/3.018 ============================== end of statistics ===================== 3.018/3.018 3.018/3.018 ============================== end of search ========================= 3.018/3.018 3.018/3.018 THEOREM PROVED 3.018/3.018 3.018/3.018 Exiting with 1 proof. 3.018/3.018 3.018/3.018 Process 43422 exit (max_proofs) Tue Nov 16 11:31:44 2021 3.018/3.018 3.018/3.018 3.018/3.018 The problem is joinable. 3.018/3.018 1.33user 0.11system 0:03.18elapsed 45%CPU (0avgtext+0avgdata 116876maxresident)k 3.018/3.018 0inputs+0outputs (0major+45791minor)pagefaults 0swaps