0.005/0.005 YES 0.005/0.005 0.005/0.005 Problem 1: 0.005/0.005 0.005/0.005 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 Confluence Problem: 0.005/0.005 (VAR vNonEmpty:S x:S) 0.005/0.005 (STRATEGY CONTEXTSENSITIVE 0.005/0.005 (a) 0.005/0.005 (c) 0.005/0.005 (b) 0.005/0.005 (fSNonEmpty) 0.005/0.005 ) 0.005/0.005 (RULES 0.005/0.005 a -> c 0.005/0.005 a -> x:S | a ->* x:S, x:S ->* b 0.005/0.005 c -> b 0.005/0.005 ) 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 0.005/0.005 0.005/0.005 Problem 1: 0.005/0.005 0.005/0.005 Inlining of Conditions Processor [STERN17]: 0.005/0.005 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 Confluence Problem: 0.005/0.005 (VAR vNonEmpty:S x:S) 0.005/0.005 (STRATEGY CONTEXTSENSITIVE 0.005/0.005 (a) 0.005/0.005 (c) 0.005/0.005 (b) 0.005/0.005 (fSNonEmpty) 0.005/0.005 ) 0.005/0.005 (RULES 0.005/0.005 a -> a | a ->* b 0.005/0.005 a -> c 0.005/0.005 c -> b 0.005/0.005 ) 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 0.005/0.005 0.005/0.005 Problem 1: 0.005/0.005 0.005/0.005 Clean CTRS Processor: 0.005/0.005 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 Confluence Problem: 0.005/0.005 (STRATEGY CONTEXTSENSITIVE 0.005/0.005 (a) 0.005/0.005 (c) 0.005/0.005 (b) 0.005/0.005 (fSNonEmpty) 0.005/0.005 ) 0.005/0.005 (RULES 0.005/0.005 a -> c 0.005/0.005 c -> b 0.005/0.005 ) 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 0.005/0.005 CRule InfChecker Info: 0.005/0.005 a -> a | a ->* b 0.005/0.005 Rule deleted 0.005/0.005 Proof: 0.005/0.005 SAME_LHS_AND_RHS 0.005/0.005 0.005/0.005 CRule InfChecker Info: 0.005/0.005 a -> c 0.005/0.005 Rule remains 0.005/0.005 Proof: 0.005/0.005 NO_CONDS 0.005/0.005 0.005/0.005 CRule InfChecker Info: 0.005/0.005 c -> b 0.005/0.005 Rule remains 0.005/0.005 Proof: 0.005/0.005 NO_CONDS 0.005/0.005 0.005/0.005 Problem 1: 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 Confluence Problem: 0.005/0.005 (STRATEGY CONTEXTSENSITIVE 0.005/0.005 (a) 0.005/0.005 (c) 0.005/0.005 (b) 0.005/0.005 (fSNonEmpty) 0.005/0.005 ) 0.005/0.005 (RULES 0.005/0.005 a -> c 0.005/0.005 c -> b 0.005/0.005 ) 0.005/0.005 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.005/0.005 0.005/0.005 Critical Pairs Processor: 0.005/0.005 -> Rules: 0.005/0.005 a -> c 0.005/0.005 c -> b 0.005/0.005 -> Vars: 0.005/0.005 0.005/0.005 -> FVars: 0.005/0.005 0.005/0.005 -> PVars: 0.005/0.005 0.005/0.005 0.005/0.005 -> Rlps: 0.005/0.005 crule: a -> c, id: 1, possubterms: a-> [] 0.005/0.005 crule: c -> b, id: 2, possubterms: c-> [] 0.005/0.005 0.005/0.005 -> Unifications: 0.005/0.005 0.005/0.005 0.005/0.005 -> Critical pairs info: 0.005/0.005 0.005/0.005 0.005/0.005 -> Problem conclusions: 0.005/0.005 Left linear, Right linear, Linear 0.005/0.005 Weakly orthogonal, Almost orthogonal, Orthogonal 0.005/0.005 CTRS Type: 1 0.005/0.005 Deterministic, Strongly deterministic 0.005/0.005 Oriented CTRS, Properly oriented CTRS, Join CTRS 0.005/0.005 Maybe right-stable CTRS, Overlay CTRS 0.005/0.005 Normal CTRS, Almost normal CTRS 0.005/0.005 Maybe terminating CTRS, Joinable CCPs 0.005/0.005 Level confluent 0.005/0.005 Confluent 0.005/0.005 0.005/0.005 The problem is joinable. 0.005/0.005 0.02user 0.01system 0:00.05elapsed 71%CPU (0avgtext+0avgdata 8892maxresident)k 0.005/0.005 0inputs+0outputs (0major+3071minor)pagefaults 0swaps