0.001/0.001 NO 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 0.001/0.001 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 Confluence Problem: 0.001/0.001 (VAR vNonEmpty:S X:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (a) 0.001/0.001 (f 1) 0.001/0.001 (g 1) 0.001/0.001 (h 1) 0.001/0.001 (b) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 a -> b 0.001/0.001 f(X:S,X:S) -> h(a) 0.001/0.001 g(a,X:S) -> f(b,X:S) 0.001/0.001 h(X:S) -> g(X:S,X:S) 0.001/0.001 ) 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 0.001/0.001 CleanTRS Processor: 0.001/0.001 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 Confluence Problem: 0.001/0.001 (VAR vNonEmpty:S X:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (a) 0.001/0.001 (f 1) 0.001/0.001 (g 1) 0.001/0.001 (h 1) 0.001/0.001 (b) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 a -> b 0.001/0.001 f(X:S,X:S) -> h(a) 0.001/0.001 g(a,X:S) -> f(b,X:S) 0.001/0.001 h(X:S) -> g(X:S,X:S) 0.001/0.001 ) 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 0.001/0.001 Modular Confluence Combinations Decomposition Processor: 0.001/0.001 It is a CTRS -> No modular confluence 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 CS-TRS Processor: 0.001/0.001 R is a CS-TRS 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 Confluence Problem: 0.001/0.001 (VAR vNonEmpty:S X:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (a) 0.001/0.001 (f 1) 0.001/0.001 (g 1) 0.001/0.001 (h 1) 0.001/0.001 (b) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 a -> b 0.001/0.001 f(X:S,X:S) -> h(a) 0.001/0.001 g(a,X:S) -> f(b,X:S) 0.001/0.001 h(X:S) -> g(X:S,X:S) 0.001/0.001 ) 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 0.001/0.001 Huet Levy Processor: 0.001/0.001 -> Rules: 0.001/0.001 a -> b 0.001/0.001 f(X:S,X:S) -> h(a) 0.001/0.001 g(a,X:S) -> f(b,X:S) 0.001/0.001 h(X:S) -> g(X:S,X:S) 0.001/0.001 -> Vars: 0.001/0.001 X, X, X 0.001/0.001 -> UVars: 0.001/0.001 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: []) 0.001/0.001 (UV-RuleId: 2, UV-LActive: [X], UV-RActive: [], UV-LFrozen: [X], UV-RFrozen: []) 0.001/0.001 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [X], UV-RFrozen: [X]) 0.001/0.001 (UV-RuleId: 4, UV-LActive: [X], UV-RActive: [X], UV-LFrozen: [], UV-RFrozen: [X]) 0.001/0.001 -> FVars: 0.001/0.001 x2, x3, x4 0.001/0.001 -> PVars: 0.001/0.001 X: [x2, x3, x4] 0.001/0.001 0.001/0.001 -> Rlps: 0.001/0.001 (rule: a -> b, id: 1, possubterms: a->[]) 0.001/0.001 (rule: f(x2:S,x2:S) -> h(a), id: 2, possubterms: f(x2:S,x2:S)->[]) 0.001/0.001 (rule: g(a,x3:S) -> f(b,x3:S), id: 3, possubterms: g(a,x3:S)->[], a->[1]) 0.001/0.001 (rule: h(x4:S) -> g(x4:S,x4:S), id: 4, possubterms: h(x4:S)->[]) 0.001/0.001 0.001/0.001 -> Unifications: 0.001/0.001 (R3 unifies with R1 at p: [1], l: g(a,x3:S), lp: a, sig: {}, l': a, r: f(b,x3:S), r': b) 0.001/0.001 0.001/0.001 -> Critical pairs info: 0.001/0.001 => Not trivial, Not overlay, NW0, N1 0.001/0.001 0.001/0.001 -> Problem conclusions: 0.001/0.001 Not left linear, Not right linear, Not linear 0.001/0.001 Not weakly orthogonal, Not almost orthogonal, Not orthogonal 0.001/0.001 Not Huet-Levy confluent, Not Newman confluent 0.001/0.001 R is a CS-TRS, Not left-homogeneous u-replacing variables 0.001/0.001 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 Different Normal CP Terms Processor: 0.001/0.001 => Not trivial, Not overlay, NW0, N1, Normal and not trivial cp 0.001/0.001 0.001/0.001 The problem is not joinable. 0.001/0.001 0.00user 0.00system 0:00.01elapsed 46%CPU (0avgtext+0avgdata 8740maxresident)k 0.001/0.001 0inputs+0outputs (0major+670minor)pagefaults 0swaps