0.00/0.00 YES 0.00/0.00 0.00/0.00 Problem 1: 0.00/0.00 0.00/0.00 0.00/0.00 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.00/0.00 Confluence Problem: 0.00/0.00 (VAR vNonEmpty X) 0.00/0.00 (REPLACEMENT-MAP 0.00/0.00 (c) 0.00/0.00 (g) 0.00/0.00 (h) 0.00/0.00 (d) 0.00/0.00 (fSNonEmpty) 0.00/0.00 ) 0.00/0.00 (RULES 0.00/0.00 c -> d 0.00/0.00 g(X) -> h(X) 0.00/0.00 h(d) -> g(c) 0.00/0.00 ) 0.00/0.00 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.00/0.00 0.00/0.00 0.00/0.00 Problem 1: 0.00/0.00 0.00/0.00 Problem 1: 0.00/0.00 Left-Homogeneous u-Replacing Variables Procedure: 0.00/0.00 R satisfies LHRV condition 0.00/0.00 0.00/0.00 Problem 1: 0.00/0.00 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.00/0.00 Confluence Problem: 0.00/0.00 (VAR vNonEmpty X) 0.00/0.00 (REPLACEMENT-MAP 0.00/0.00 (c) 0.00/0.00 (g) 0.00/0.00 (h) 0.00/0.00 (d) 0.00/0.00 (fSNonEmpty) 0.00/0.00 ) 0.00/0.00 (RULES 0.00/0.00 c -> d 0.00/0.00 g(X) -> h(X) 0.00/0.00 h(d) -> g(c) 0.00/0.00 ) 0.00/0.00 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.00/0.00 0.00/0.00 Huet Levy Procedure: 0.00/0.00 -> Rules: 0.00/0.00 c -> d 0.00/0.00 g(X) -> h(X) 0.00/0.00 h(d) -> g(c) 0.00/0.00 -> Vars: 0.00/0.00 X 0.00/0.00 -> UVars: 0.00/0.00 (UV-RuleId: 1, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: []) 0.00/0.00 (UV-RuleId: 2, UV-LActive: [], UV-RActive: [], UV-LFrozen: [X], UV-RFrozen: [X]) 0.00/0.00 (UV-RuleId: 3, UV-LActive: [], UV-RActive: [], UV-LFrozen: [], UV-RFrozen: []) 0.00/0.00 0.00/0.00 -> Rlps: 0.00/0.00 (rule: c -> d, id: 1, possubterms: c->[]) 0.00/0.00 (rule: g(X) -> h(X), id: 2, possubterms: g(X)->[]) 0.00/0.00 (rule: h(d) -> g(c), id: 3, possubterms: h(d)->[]) 0.00/0.00 0.00/0.00 -> Unifications: 0.00/0.00 0.00/0.00 0.00/0.00 -> Critical pairs info: 0.00/0.00 0.00/0.00 0.00/0.00 -> Problem conclusions: 0.00/0.00 Left linear, Right linear, Linear 0.00/0.00 Weakly orthogonal, Almost orthogonal, Orthogonal 0.00/0.00 Huet-Levy confluent, Not Newman confluent 0.00/0.00 R is a CS-TRS, Left-homogeneous u-replacing variables 0.00/0.00 0.00/0.00 0.00/0.00 The problem is confluent. 0.00/0.00 EOF