0.001/0.001 YES 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 XS:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (tail 1) 0.001/0.001 (zeros) 0.001/0.001 (0) 0.001/0.001 (cons 1) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 tail(cons(X:S,XS:S)) -> XS:S 0.001/0.001 zeros -> cons(0,zeros) 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 XS:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (tail 1) 0.001/0.001 (zeros) 0.001/0.001 (0) 0.001/0.001 (cons 1) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 tail(cons(X:S,XS:S)) -> XS:S 0.001/0.001 zeros -> cons(0,zeros) 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 Left-Homogeneous u-Replacing Variables Processor: 0.001/0.001 R satisfies LHRV condition 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 XS:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (tail 1) 0.001/0.001 (zeros) 0.001/0.001 (0) 0.001/0.001 (cons 1) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 tail(cons(X:S,XS:S)) -> XS:S 0.001/0.001 zeros -> cons(0,zeros) 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 tail(cons(X:S,XS:S)) -> XS:S 0.001/0.001 zeros -> cons(0,zeros) 0.001/0.001 -> Vars: 0.001/0.001 X, XS 0.001/0.001 -> UVars: 0.001/0.001 (UV-RuleId: 1, UV-LActive: [X], UV-RActive: [XS], UV-LFrozen: [XS], UV-RFrozen: []) 0.001/0.001 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: []) 0.001/0.001 -> FVars: 0.001/0.001 x3, x4 0.001/0.001 -> PVars: 0.001/0.001 X: [x3], XS: [x4] 0.001/0.001 0.001/0.001 -> Rlps: 0.001/0.001 (rule: tail(cons(x3:S,x4:S)) -> x4:S, id: 1, possubterms: tail(cons(x3:S,x4:S))->[], cons(x3:S,x4:S)->[1]) 0.001/0.001 (rule: zeros -> cons(0,zeros), id: 2, possubterms: zeros->[]) 0.001/0.001 0.001/0.001 -> Unifications: 0.001/0.001 0.001/0.001 0.001/0.001 -> Critical pairs info: 0.001/0.001 0.001/0.001 0.001/0.001 -> Problem conclusions: 0.001/0.001 Left linear, Right linear, Linear 0.001/0.001 Weakly orthogonal, Almost orthogonal, Orthogonal 0.001/0.001 Huet-Levy confluent, Not Newman confluent 0.001/0.001 R is a CS-TRS, Left-homogeneous u-replacing variables 0.001/0.001 0.001/0.001 0.001/0.001 The problem is joinable. 0.001/0.001 0.00user 0.00system 0:00.01elapsed 38%CPU (0avgtext+0avgdata 8048maxresident)k 0.001/0.001 0inputs+0outputs (0major+609minor)pagefaults 0swaps