NO Input TRS: 1: 2nd(cons1(X,cons(Y,Z))) -> Y 2: 2nd(cons(X,X1)) -> 2nd(cons1(X,X1)) 3: from(X) -> cons(X,from(s(X))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying 2nd 1: 2nd^1_cons1(X,cons(Y,Z)) -> Y 2: 2nd^1_cons(X,X1) -> 2nd^1_cons1(X,X1) 3: from(X) -> cons(X,from(s(X))) 4: 2nd(cons(_1,_2)) ->= 2nd^1_cons(_1,_2) 5: 2nd(cons1(_1,_2)) ->= 2nd^1_cons1(_1,_2) Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #2nd^1_cons(X,X1) -> #2nd^1_cons1(X,X1) #2: #2nd(cons1(_1,_2)) ->? #2nd^1_cons1(_1,_2) #3: #from(X) -> #from(s(X)) #4: #2nd(cons(_1,_2)) ->? #2nd^1_cons(_1,_2) Number of SCCs: 1, DPs: 1 SCC { #3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... found. #from(X) -#3-> #from(s(X)) --->* #from(s(X)) Looping with: [ X := s(X); ]