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 x y) 0.001/0.001 (REPLACEMENT-MAP 0.001/0.001 (a) 0.001/0.001 (b) 0.001/0.001 (f 1) 0.001/0.001 (c) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (g 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 a -> c 0.001/0.001 b -> c 0.001/0.001 f(x) -> g(y) | x ->* y 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 Inlining of Conditions Processor [STERN17]: 0.001/0.001 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 Confluence Problem: 0.001/0.001 (VAR vNonEmpty x y) 0.001/0.001 (REPLACEMENT-MAP 0.001/0.001 (a) 0.001/0.001 (b) 0.001/0.001 (f 1) 0.001/0.001 (c) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (g 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 a -> c 0.001/0.001 b -> c 0.001/0.001 f(x) -> g(x) 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 Confluence Problem: 0.001/0.001 (VAR vNonEmpty x y) 0.001/0.001 (REPLACEMENT-MAP 0.001/0.001 (a) 0.001/0.001 (b) 0.001/0.001 (f 1) 0.001/0.001 (c) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (g 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 a -> c 0.001/0.001 b -> c 0.001/0.001 f(x) -> g(x) 0.001/0.001 ) 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 0.001/0.001 Critical Pairs Processor: 0.001/0.001 -> Rules: 0.001/0.001 a -> c 0.001/0.001 b -> c 0.001/0.001 f(x) -> g(x) 0.001/0.001 -> Vars: 0.001/0.001 "x" 0.001/0.001 0.001/0.001 -> Rlps: 0.001/0.001 crule: a -> c, id: 1, possubterms: a-> [] 0.001/0.001 crule: b -> c, id: 2, possubterms: b-> [] 0.001/0.001 crule: f(x) -> g(x), id: 3, possubterms: f(x)-> [] 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 CTRS Type: 1 0.001/0.001 Deterministic, Strongly deterministic 0.001/0.001 Oriented CTRS, Properly oriented CTRS, Join CTRS, Semiequational CTRS 0.001/0.001 Maybe right-stable CTRS, Overlay CTRS 0.001/0.001 Normal CTRS, Almost normal CTRS 0.001/0.001 Maybe terminating CTRS, Maybe operational terminating CTRS, Joinable CCPs 0.001/0.001 Level confluent 0.001/0.001 Confluent 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 8104maxresident)k 0.001/0.001 8inputs+0outputs (0major+647minor)pagefaults 0swaps