MAYBE 931.87/297.03 MAYBE 931.87/297.03 931.87/297.03 We are left with following problem, upon which TcT provides the 931.87/297.03 certificate MAYBE. 931.87/297.03 931.87/297.03 Strict Trs: 931.87/297.03 { and(false(), false()) -> false() 931.87/297.03 , and(false(), true()) -> false() 931.87/297.03 , and(true(), false()) -> false() 931.87/297.03 , and(true(), true()) -> true() 931.87/297.03 , eq(nil(), nil()) -> true() 931.87/297.03 , eq(nil(), cons(T, L)) -> false() 931.87/297.03 , eq(cons(T, L), nil()) -> false() 931.87/297.03 , eq(cons(T, L), cons(Tp, Lp)) -> and(eq(T, Tp), eq(L, Lp)) 931.87/297.03 , eq(var(L), var(Lp)) -> eq(L, Lp) 931.87/297.03 , eq(var(L), apply(T, S)) -> false() 931.87/297.03 , eq(var(L), lambda(X, T)) -> false() 931.87/297.03 , eq(apply(T, S), var(L)) -> false() 931.87/297.03 , eq(apply(T, S), apply(Tp, Sp)) -> and(eq(T, Tp), eq(S, Sp)) 931.87/297.03 , eq(apply(T, S), lambda(X, Tp)) -> false() 931.87/297.03 , eq(lambda(X, T), var(L)) -> false() 931.87/297.03 , eq(lambda(X, T), apply(Tp, Sp)) -> false() 931.87/297.03 , eq(lambda(X, T), lambda(Xp, Tp)) -> and(eq(T, Tp), eq(X, Xp)) 931.87/297.03 , if(false(), var(K), var(L)) -> var(L) 931.87/297.03 , if(true(), var(K), var(L)) -> var(K) 931.87/297.03 , ren(X, Y, apply(T, S)) -> apply(ren(X, Y, T), ren(X, Y, S)) 931.87/297.03 , ren(X, Y, lambda(Z, T)) -> 931.87/297.03 lambda(var(cons(X, cons(Y, cons(lambda(Z, T), nil())))), 931.87/297.03 ren(X, 931.87/297.03 Y, 931.87/297.03 ren(Z, var(cons(X, cons(Y, cons(lambda(Z, T), nil())))), T))) 931.87/297.03 , ren(var(L), var(K), var(Lp)) -> if(eq(L, Lp), var(K), var(Lp)) } 931.87/297.03 Obligation: 931.87/297.03 innermost runtime complexity 931.87/297.03 Answer: 931.87/297.03 MAYBE 931.87/297.03 931.87/297.03 None of the processors succeeded. 931.87/297.03 931.87/297.03 Details of failed attempt(s): 931.87/297.03 ----------------------------- 931.87/297.03 1) 'empty' failed due to the following reason: 931.87/297.03 931.87/297.03 Empty strict component of the problem is NOT empty. 931.87/297.03 931.87/297.03 2) 'Best' failed due to the following reason: 931.87/297.03 931.87/297.03 None of the processors succeeded. 931.87/297.03 931.87/297.03 Details of failed attempt(s): 931.87/297.03 ----------------------------- 931.87/297.03 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 931.87/297.03 following reason: 931.87/297.03 931.87/297.03 Computation stopped due to timeout after 297.0 seconds. 931.87/297.03 931.87/297.03 2) 'Best' failed due to the following reason: 931.87/297.03 931.87/297.03 None of the processors succeeded. 931.87/297.03 931.87/297.03 Details of failed attempt(s): 931.87/297.03 ----------------------------- 931.87/297.03 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 931.87/297.03 seconds)' failed due to the following reason: 931.87/297.03 931.87/297.03 Computation stopped due to timeout after 148.0 seconds. 931.87/297.03 931.87/297.03 2) 'Best' failed due to the following reason: 931.87/297.03 931.87/297.03 None of the processors succeeded. 931.87/297.03 931.87/297.03 Details of failed attempt(s): 931.87/297.03 ----------------------------- 931.87/297.03 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 931.87/297.03 to the following reason: 931.87/297.03 931.87/297.03 The input cannot be shown compatible 931.87/297.03 931.87/297.03 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 931.87/297.03 following reason: 931.87/297.03 931.87/297.03 The input cannot be shown compatible 931.87/297.03 931.87/297.03 931.87/297.03 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 931.87/297.03 failed due to the following reason: 931.87/297.03 931.87/297.03 None of the processors succeeded. 931.87/297.03 931.87/297.03 Details of failed attempt(s): 931.87/297.03 ----------------------------- 931.87/297.03 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 931.87/297.03 failed due to the following reason: 931.87/297.03 931.87/297.03 match-boundness of the problem could not be verified. 931.87/297.03 931.87/297.03 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 931.87/297.03 failed due to the following reason: 931.87/297.03 931.87/297.03 match-boundness of the problem could not be verified. 931.87/297.03 931.87/297.03 931.87/297.03 931.87/297.03 931.87/297.03 931.87/297.03 Arrrr.. 932.08/297.24 EOF