MAYBE 199.19/60.03 MAYBE 199.19/60.03 199.19/60.03 We are left with following problem, upon which TcT provides the 199.19/60.03 certificate MAYBE. 199.19/60.03 199.19/60.03 Strict Trs: 199.19/60.03 { f(s(x)) -> s(f(f(p(s(x))))) 199.19/60.03 , f(0()) -> 0() 199.19/60.03 , p(s(x)) -> x } 199.19/60.03 Obligation: 199.19/60.03 derivational complexity 199.19/60.03 Answer: 199.19/60.03 MAYBE 199.19/60.03 199.19/60.03 None of the processors succeeded. 199.19/60.03 199.19/60.03 Details of failed attempt(s): 199.19/60.03 ----------------------------- 199.19/60.03 1) 'Fastest (timeout of 60 seconds)' failed due to the following 199.19/60.03 reason: 199.19/60.03 199.19/60.03 Computation stopped due to timeout after 60.0 seconds. 199.19/60.03 199.19/60.03 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 199.19/60.03 the following reason: 199.19/60.03 199.19/60.03 The weightgap principle applies (using the following nonconstant 199.19/60.03 growth matrix-interpretation) 199.19/60.03 199.19/60.03 TcT has computed the following triangular matrix interpretation. 199.19/60.03 Note that the diagonal of the component-wise maxima of 199.19/60.03 interpretation-entries contains no more than 1 non-zero entries. 199.19/60.03 199.19/60.03 [f](x1) = [1] x1 + [0] 199.19/60.03 199.19/60.03 [s](x1) = [1] x1 + [0] 199.19/60.03 199.19/60.03 [p](x1) = [1] x1 + [1] 199.19/60.03 199.19/60.03 [0] = [2] 199.19/60.03 199.19/60.03 The order satisfies the following ordering constraints: 199.19/60.03 199.19/60.03 [f(s(x))] = [1] x + [0] 199.19/60.03 ? [1] x + [1] 199.19/60.03 = [s(f(f(p(s(x)))))] 199.19/60.03 199.19/60.03 [f(0())] = [2] 199.19/60.03 >= [2] 199.19/60.03 = [0()] 199.19/60.03 199.19/60.03 [p(s(x))] = [1] x + [1] 199.19/60.03 > [1] x + [0] 199.19/60.03 = [x] 199.19/60.03 199.19/60.03 199.19/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 199.19/60.03 199.19/60.03 We are left with following problem, upon which TcT provides the 199.19/60.03 certificate MAYBE. 199.19/60.03 199.19/60.03 Strict Trs: 199.19/60.03 { f(s(x)) -> s(f(f(p(s(x))))) 199.19/60.03 , f(0()) -> 0() } 199.19/60.03 Weak Trs: { p(s(x)) -> x } 199.19/60.03 Obligation: 199.19/60.03 derivational complexity 199.19/60.03 Answer: 199.19/60.03 MAYBE 199.19/60.03 199.19/60.03 The weightgap principle applies (using the following nonconstant 199.19/60.03 growth matrix-interpretation) 199.19/60.03 199.19/60.03 TcT has computed the following triangular matrix interpretation. 199.19/60.03 Note that the diagonal of the component-wise maxima of 199.19/60.03 interpretation-entries contains no more than 1 non-zero entries. 199.19/60.03 199.19/60.03 [f](x1) = [1] x1 + [1] 199.19/60.03 199.19/60.03 [s](x1) = [1] x1 + [0] 199.19/60.03 199.19/60.03 [p](x1) = [1] x1 + [2] 199.19/60.03 199.19/60.03 [0] = [1] 199.19/60.03 199.19/60.03 The order satisfies the following ordering constraints: 199.19/60.03 199.19/60.03 [f(s(x))] = [1] x + [1] 199.19/60.03 ? [1] x + [4] 199.19/60.03 = [s(f(f(p(s(x)))))] 199.19/60.03 199.19/60.03 [f(0())] = [2] 199.19/60.03 > [1] 199.19/60.03 = [0()] 199.19/60.03 199.19/60.03 [p(s(x))] = [1] x + [2] 199.19/60.03 > [1] x + [0] 199.19/60.03 = [x] 199.19/60.03 199.19/60.03 199.19/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 199.19/60.03 199.19/60.03 We are left with following problem, upon which TcT provides the 199.19/60.03 certificate MAYBE. 199.19/60.03 199.19/60.03 Strict Trs: { f(s(x)) -> s(f(f(p(s(x))))) } 199.19/60.03 Weak Trs: 199.19/60.03 { f(0()) -> 0() 199.19/60.03 , p(s(x)) -> x } 199.19/60.03 Obligation: 199.19/60.03 derivational complexity 199.19/60.03 Answer: 199.19/60.03 MAYBE 199.19/60.03 199.19/60.03 None of the processors succeeded. 199.19/60.03 199.19/60.03 Details of failed attempt(s): 199.19/60.03 ----------------------------- 199.19/60.03 1) 'empty' failed due to the following reason: 199.19/60.03 199.19/60.03 Empty strict component of the problem is NOT empty. 199.19/60.03 199.19/60.03 2) 'Fastest' failed due to the following reason: 199.19/60.03 199.19/60.03 None of the processors succeeded. 199.19/60.03 199.19/60.03 Details of failed attempt(s): 199.19/60.03 ----------------------------- 199.19/60.03 1) 'bsearch-matrix' failed due to the following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 2) 'iteProgress' failed due to the following reason: 199.19/60.03 199.19/60.03 Fail 199.19/60.03 199.19/60.03 3) 'Fastest (timeout of 30 seconds)' failed due to the following 199.19/60.03 reason: 199.19/60.03 199.19/60.03 Computation stopped due to timeout after 30.0 seconds. 199.19/60.03 199.19/60.03 4) 'Fastest' failed due to the following reason: 199.19/60.03 199.19/60.03 None of the processors succeeded. 199.19/60.03 199.19/60.03 Details of failed attempt(s): 199.19/60.03 ----------------------------- 199.19/60.03 1) 'matrix interpretation of dimension 6' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 2) 'matrix interpretation of dimension 5' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 3) 'matrix interpretation of dimension 4' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 4) 'matrix interpretation of dimension 3' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 5) 'matrix interpretation of dimension 2' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 6) 'matrix interpretation of dimension 1' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 199.19/60.03 199.19/60.03 199.19/60.03 3) 'iteProgress (timeout of 297 seconds)' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 Fail 199.19/60.03 199.19/60.03 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 199.19/60.03 following reason: 199.19/60.03 199.19/60.03 The input cannot be shown compatible 199.19/60.03 199.19/60.03 199.19/60.03 Arrrr.. 199.19/60.04 EOF