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) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (f 1) 0.001/0.001 (a) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (g 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 f(f(a)) -> f(g(f(a))) 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) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (f 1) 0.001/0.001 (a) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (g 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 f(f(a)) -> f(g(f(a))) 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 0.001/0.001 No usable combinations 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 Not CS-TRS Processor: 0.001/0.001 R is not a CS-TRS 0.001/0.001 0.001/0.001 Problem 1: 0.001/0.001 Linearity Processor: 0.001/0.001 Linear? 0.001/0.001 YES 0.001/0.001 Problem 1.1: 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 Confluence Problem: 0.001/0.001 (VAR vNonEmpty:S v_NonEmpty:S:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (f 1) 0.001/0.001 (a) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (g 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 f(f(a)) -> f(g(f(a))) 0.001/0.001 ) 0.001/0.001 Linear:YES 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 0.001/0.001 Huet Levy Processor: 0.001/0.001 -> Rules: 0.001/0.001 f(f(a)) -> f(g(f(a))) 0.001/0.001 -> Vars: 0.001/0.001 0.001/0.001 -> FVars: 0.001/0.001 0.001/0.001 -> PVars: 0.001/0.001 0.001/0.001 0.001/0.001 -> Rlps: 0.001/0.001 (rule: f(f(a)) -> f(g(f(a))), id: 1, possubterms: f(f(a))->[], f(a)->[1], a->[1, 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 TRS 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 50%CPU (0avgtext+0avgdata 7884maxresident)k 0.001/0.001 8inputs+0outputs (0major+544minor)pagefaults 0swaps