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 x:S y:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (f 1) 0.001/0.001 (g 1) 0.001/0.001 (h 1 2) 0.001/0.001 (a) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (i 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 f(x:S) -> x:S | x:S ->* a 0.001/0.001 g(x:S) -> h(x:S,x:S) 0.001/0.001 h(x:S,y:S) -> i(x:S) 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:S x:S y:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (f 1) 0.001/0.001 (g 1) 0.001/0.001 (h 1 2) 0.001/0.001 (a) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (i 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 f(x:S) -> x:S | x:S ->* a 0.001/0.001 g(x:S) -> h(x:S,x:S) 0.001/0.001 h(x:S,y:S) -> i(x:S) 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:S x:S y:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (f 1) 0.001/0.001 (g 1) 0.001/0.001 (h 1 2) 0.001/0.001 (a) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (i 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 f(x:S) -> x:S | x:S ->* a 0.001/0.001 g(x:S) -> h(x:S,x:S) 0.001/0.001 h(x:S,y:S) -> i(x:S) 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 f(x:S) -> x:S | x:S ->* a 0.001/0.001 g(x:S) -> h(x:S,x:S) 0.001/0.001 h(x:S,y:S) -> i(x:S) 0.001/0.001 -> Vars: 0.001/0.001 "x", "x", "x", "y" 0.001/0.001 -> FVars: 0.001/0.001 "x3", "x4", "x5", "x6" 0.001/0.001 -> PVars: 0.001/0.001 "x": ["x3", "x4", "x5"], "y": ["x6"] 0.001/0.001 0.001/0.001 -> Rlps: 0.001/0.001 crule: f(x3:S) -> x3:S | x3:S ->* a, id: 1, possubterms: f(x3:S)-> [] 0.001/0.001 crule: g(x4:S) -> h(x4:S,x4:S), id: 2, possubterms: g(x4:S)-> [] 0.001/0.001 crule: h(x5:S,x6:S) -> i(x5:S), id: 3, possubterms: h(x5:S,x6:S)-> [] 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, Not right linear, Not 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, Not join CTRS 0.001/0.001 Maybe right-stable CTRS, Overlay CTRS 0.001/0.001 Maybe normal CTRS, Maybe almost normal CTRS 0.001/0.001 Maybe terminating CTRS, Joinable CCPs 0.001/0.001 Maybe level confluent 0.001/0.001 Maybe confluent 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 x:S y:S) 0.001/0.001 (STRATEGY CONTEXTSENSITIVE 0.001/0.001 (f 1) 0.001/0.001 (g 1) 0.001/0.001 (h 1 2) 0.001/0.001 (a) 0.001/0.001 (fSNonEmpty) 0.001/0.001 (i 1) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 f(x:S) -> x:S | x:S ->* a 0.001/0.001 g(x:S) -> h(x:S,x:S) 0.001/0.001 h(x:S,y:S) -> i(x:S) 0.001/0.001 ) 0.001/0.001 Critical Pairs: 0.001/0.001 0.001/0.001 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 0.001/0.001 0.001/0.001 Right Stable Processor: 0.001/0.001 Right-stable CTRS 0.001/0.001 Justification: 0.001/0.001 0.001/0.001 -> Term right-stability conditions: 0.001/0.001 Term: a 0.001/0.001 Right-stable term 0.001/0.001 Linear constructor form 0.001/0.001 Don't know if term is a ground normal form (not needed) 0.001/0.001 Right-stability condition achieved 0.001/0.001 A call to InfChecker wasn't needed 0.001/0.001 0.001/0.001 -> Problem conclusions: 0.001/0.001 Left linear, Not right linear, Not 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, Not join CTRS 0.001/0.001 Right-stable CTRS, Overlay CTRS 0.001/0.001 Maybe normal CTRS, Almost normal CTRS 0.001/0.001 Maybe 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 53%CPU (0avgtext+0avgdata 8140maxresident)k 0.001/0.001 8inputs+0outputs (0major+657minor)pagefaults 0swaps