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 v_NonEmpty:S:S X:S:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (c) 0.001/0.001 (g) 0.001/0.001 (h 1) 0.001/0.001 (d) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 c -> d 0.001/0.001 g(X:S:S) -> h(X:S:S) 0.001/0.001 h(d) -> g(c) 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 v_NonEmpty:S:S X:S:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (c) 0.001/0.001 (g) 0.001/0.001 (h 1) 0.001/0.001 (d) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 c -> d 0.001/0.001 g(X:S:S) -> h(X:S:S) 0.001/0.001 h(d) -> g(c) 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 v_NonEmpty:S:S X:S:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (c) 0.001/0.001 (g) 0.001/0.001 (h 1) 0.001/0.001 (d) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 c -> d 0.001/0.001 g(X:S:S) -> h(X:S:S) 0.001/0.001 h(d) -> g(c) 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 c -> d 0.001/0.001 g(X:S:S) -> h(X:S:S) 0.001/0.001 h(d) -> g(c) 0.001/0.001 -> Vars: 0.001/0.001 X:S 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: [], UV-RActive: [X:S], UV-LFrozen: [X:S], UV-RFrozen: []) 0.001/0.001 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: []) 0.001/0.001 -> FVars: 0.001/0.001 x3 0.001/0.001 -> PVars: 0.001/0.001 X:S: [x3] 0.001/0.001 0.001/0.001 -> Rlps: 0.001/0.001 (rule: c -> d, id: 1, possubterms: c->[]) 0.001/0.001 (rule: g(x3:S) -> h(x3:S), id: 2, possubterms: g(x3:S)->[]) 0.001/0.001 (rule: h(d) -> g(c), id: 3, possubterms: h(d)->[], d->[1]) 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 25%CPU (0avgtext+0avgdata 8200maxresident)k 0.001/0.001 8inputs+0outputs (0major+614minor)pagefaults 0swaps