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 a b c) 0.001/0.001 (REPLACEMENT-MAP 0.001/0.001 (App 1, 2) 0.001/0.001 (I) 0.001/0.001 (K) 0.001/0.001 (S) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 App(App(App(S,a),b),c) -> App(App(a,c),App(b,c)) | a ->* I, b ->* I, c ->* I 0.001/0.001 App(App(K,a),b) -> a | a ->* I, b ->* I 0.001/0.001 App(I,a) -> a | a ->* I 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 a b c) 0.001/0.001 (REPLACEMENT-MAP 0.001/0.001 (App 1, 2) 0.001/0.001 (I) 0.001/0.001 (K) 0.001/0.001 (S) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 App(App(App(S,a),b),c) -> App(App(a,c),App(b,c)) | a ->* I, b ->* I, c ->* I 0.001/0.001 App(App(K,a),b) -> a | a ->* I, b ->* I 0.001/0.001 App(I,a) -> a | a ->* I 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 a b c) 0.001/0.001 (REPLACEMENT-MAP 0.001/0.001 (App 1, 2) 0.001/0.001 (I) 0.001/0.001 (K) 0.001/0.001 (S) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 App(App(App(S,a),b),c) -> App(App(a,c),App(b,c)) | a ->* I, b ->* I, c ->* I 0.001/0.001 App(App(K,a),b) -> a | a ->* I, b ->* I 0.001/0.001 App(I,a) -> a | a ->* I 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 App(App(App(S,a),b),c) -> App(App(a,c),App(b,c)) | a ->* I, b ->* I, c ->* I 0.001/0.001 App(App(K,a),b) -> a | a ->* I, b ->* I 0.001/0.001 App(I,a) -> a | a ->* I 0.001/0.001 -> Vars: 0.001/0.001 "a", "b", "c" 0.001/0.001 0.001/0.001 -> Rlps: 0.001/0.001 crule: App(App(App(S,a),b),c) -> App(App(a,c),App(b,c)) | a ->* I, b ->* I, c ->* I, id: 1, possubterms: App(App(App(S,a),b),c)-> [], App(App(S,a),b)-> [1], App(S,a)-> [1,1], S-> [1,1,1] 0.001/0.001 crule: App(App(K,a),b) -> a | a ->* I, b ->* I, id: 2, possubterms: App(App(K,a),b)-> [], App(K,a)-> [1], K-> [1,1] 0.001/0.001 crule: App(I,a) -> a | a ->* I, id: 3, possubterms: App(I,a)-> [], I-> [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, 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, Not semiequational 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, Maybe operational 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 a b c) 0.001/0.001 (REPLACEMENT-MAP 0.001/0.001 (App 1, 2) 0.001/0.001 (I) 0.001/0.001 (K) 0.001/0.001 (S) 0.001/0.001 (fSNonEmpty) 0.001/0.001 ) 0.001/0.001 (RULES 0.001/0.001 App(App(App(S,a),b),c) -> App(App(a,c),App(b,c)) | a ->* I, b ->* I, c ->* I 0.001/0.001 App(App(K,a),b) -> a | a ->* I, b ->* I 0.001/0.001 App(I,a) -> a | a ->* I 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: I 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 0.001/0.001 -> Term right-stability conditions: 0.001/0.001 Term: I 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 0.001/0.001 -> Term right-stability conditions: 0.001/0.001 Term: I 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 0.001/0.001 -> Term right-stability conditions: 0.001/0.001 Term: I 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 0.001/0.001 -> Term right-stability conditions: 0.001/0.001 Term: I 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 0.001/0.001 -> Term right-stability conditions: 0.001/0.001 Term: I 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, Not semiequational 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, 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 57%CPU (0avgtext+0avgdata 8260maxresident)k 0.001/0.001 8inputs+0outputs (0major+733minor)pagefaults 0swaps