MAYBE 789.92/297.02 MAYBE 789.92/297.02 789.92/297.02 We are left with following problem, upon which TcT provides the 789.92/297.02 certificate MAYBE. 789.92/297.02 789.92/297.02 Strict Trs: 789.92/297.02 { f(g(X)) -> g(f(f(X))) 789.92/297.02 , f(h(X)) -> h(g(X)) } 789.92/297.02 Obligation: 789.92/297.02 innermost runtime complexity 789.92/297.02 Answer: 789.92/297.02 MAYBE 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'empty' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 2) 'Best' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 789.92/297.02 following reason: 789.92/297.02 789.92/297.02 Computation stopped due to timeout after 297.0 seconds. 789.92/297.02 789.92/297.02 2) 'Best' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 789.92/297.02 failed due to the following reason: 789.92/297.02 789.92/297.02 Computation stopped due to timeout after 24.0 seconds. 789.92/297.02 789.92/297.02 2) 'With Problem ... (timeout of 148 seconds) (timeout of 297 789.92/297.02 seconds)' failed due to the following reason: 789.92/297.02 789.92/297.02 The weightgap principle applies (using the following nonconstant 789.92/297.02 growth matrix-interpretation) 789.92/297.02 789.92/297.02 The following argument positions are usable: 789.92/297.02 Uargs(f) = {1}, Uargs(g) = {1} 789.92/297.02 789.92/297.02 TcT has computed the following matrix interpretation satisfying 789.92/297.02 not(EDA) and not(IDA(1)). 789.92/297.02 789.92/297.02 [f](x1) = [1] x1 + [4] 789.92/297.02 789.92/297.02 [g](x1) = [1] x1 + [0] 789.92/297.02 789.92/297.02 [h](x1) = [1] x1 + [4] 789.92/297.02 789.92/297.02 The order satisfies the following ordering constraints: 789.92/297.02 789.92/297.02 [f(g(X))] = [1] X + [4] 789.92/297.02 ? [1] X + [8] 789.92/297.02 = [g(f(f(X)))] 789.92/297.02 789.92/297.02 [f(h(X))] = [1] X + [8] 789.92/297.02 > [1] X + [4] 789.92/297.02 = [h(g(X))] 789.92/297.02 789.92/297.02 789.92/297.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 789.92/297.02 789.92/297.02 We are left with following problem, upon which TcT provides the 789.92/297.02 certificate MAYBE. 789.92/297.02 789.92/297.02 Strict Trs: { f(g(X)) -> g(f(f(X))) } 789.92/297.02 Weak Trs: { f(h(X)) -> h(g(X)) } 789.92/297.02 Obligation: 789.92/297.02 innermost runtime complexity 789.92/297.02 Answer: 789.92/297.02 MAYBE 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'empty' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 2) 'With Problem ...' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'empty' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 2) 'Fastest' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'With Problem ...' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'empty' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 2) 'With Problem ...' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'empty' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 2) 'With Problem ...' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'empty' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 2) 'With Problem ...' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 2) 'With Problem ...' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'empty' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 2) 'With Problem ...' failed due to the following reason: 789.92/297.02 789.92/297.02 Empty strict component of the problem is NOT empty. 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 3) 'Best' failed due to the following reason: 789.92/297.02 789.92/297.02 None of the processors succeeded. 789.92/297.02 789.92/297.02 Details of failed attempt(s): 789.92/297.02 ----------------------------- 789.92/297.02 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 789.92/297.02 following reason: 789.92/297.02 789.92/297.02 The input cannot be shown compatible 789.92/297.02 789.92/297.02 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 789.92/297.02 to the following reason: 789.92/297.02 789.92/297.02 The input cannot be shown compatible 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 789.92/297.02 Arrrr.. 790.04/297.19 EOF