0.00/0.01 YES 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 (VAR X X1 Y Z) 0.00/0.01 (STRATEGY CONTEXTSENSITIVE 0.00/0.01 (2nd 1) 0.00/0.01 (from 1) 0.00/0.01 (cons 1) 0.00/0.01 (cons1 1 2) 0.00/0.01 (s 1) 0.00/0.01 ) 0.00/0.01 (RULES 0.00/0.01 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 0.00/0.01 2nd(cons1(X,cons(Y,Z))) -> Y 0.00/0.01 from(X) -> cons(X,from(s(X))) 0.00/0.01 ) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Innermost Equivalent Processor: 0.00/0.01 -> Rules: 0.00/0.01 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 0.00/0.01 2nd(cons1(X,cons(Y,Z))) -> Y 0.00/0.01 from(X) -> cons(X,from(s(X))) 0.00/0.01 -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. 0.00/0.01 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Dependency Pairs Processor: 0.00/0.01 -> Pairs: 0.00/0.01 2ND(cons(X,X1)) -> 2ND(cons1(X,X1)) 0.00/0.01 2ND(cons(X,X1)) -> X1 0.00/0.01 -> Rules: 0.00/0.01 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 0.00/0.01 2nd(cons1(X,cons(Y,Z))) -> Y 0.00/0.01 from(X) -> cons(X,from(s(X))) 0.00/0.01 -> Unhiding Rules: 0.00/0.01 from(s(X)) -> FROM(s(X)) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 SCC Processor: 0.00/0.01 -> Pairs: 0.00/0.01 2ND(cons(X,X1)) -> 2ND(cons1(X,X1)) 0.00/0.01 2ND(cons(X,X1)) -> X1 0.00/0.01 -> Rules: 0.00/0.01 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 0.00/0.01 2nd(cons1(X,cons(Y,Z))) -> Y 0.00/0.01 from(X) -> cons(X,from(s(X))) 0.00/0.01 -> Unhiding rules: 0.00/0.01 from(s(X)) -> FROM(s(X)) 0.00/0.01 ->Strongly Connected Components: 0.00/0.01 There is no strongly connected component 0.00/0.01 0.00/0.01 The problem is finite. 0.00/0.01 EOF