MAYBE 214.09/60.02 MAYBE 214.09/60.02 214.09/60.02 We are left with following problem, upon which TcT provides the 214.09/60.02 certificate MAYBE. 214.09/60.02 214.09/60.02 Strict Trs: 214.09/60.02 { +(1(), x) -> +(+(0(), 1()), x) 214.09/60.02 , +(0(), x) -> x } 214.09/60.02 Obligation: 214.09/60.02 derivational complexity 214.09/60.02 Answer: 214.09/60.02 MAYBE 214.09/60.02 214.09/60.02 We uncurry the input using the following uncurry rules. 214.09/60.02 214.09/60.02 { +(1(), x_1) -> 1_1(x_1) 214.09/60.02 , +(0(), x_1) -> 0_1(x_1) 214.09/60.02 , +(0_1(x_1), x_2) -> 0_2(x_1, x_2) } 214.09/60.02 214.09/60.02 We are left with following problem, upon which TcT provides the 214.09/60.02 certificate MAYBE. 214.09/60.02 214.09/60.02 Strict Trs: 214.09/60.02 { 0_2(x, x_1) -> +(x, x_1) 214.09/60.02 , 1_1(x) -> 0_2(1(), x) } 214.09/60.02 Weak Trs: 214.09/60.02 { +(1(), x_1) -> 1_1(x_1) 214.09/60.02 , +(0(), x_1) -> 0_1(x_1) 214.09/60.02 , +(0_1(x_1), x_2) -> 0_2(x_1, x_2) } 214.09/60.02 Obligation: 214.09/60.02 derivational complexity 214.09/60.02 Answer: 214.09/60.02 MAYBE 214.09/60.02 214.09/60.02 None of the processors succeeded. 214.09/60.02 214.09/60.02 Details of failed attempt(s): 214.09/60.02 ----------------------------- 214.09/60.02 1) 'Fastest (timeout of 60 seconds)' failed due to the following 214.09/60.02 reason: 214.09/60.02 214.09/60.02 Computation stopped due to timeout after 60.0 seconds. 214.09/60.02 214.09/60.02 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 214.09/60.02 the following reason: 214.09/60.02 214.09/60.02 The weightgap principle applies (using the following nonconstant 214.09/60.02 growth matrix-interpretation) 214.09/60.02 214.09/60.02 TcT has computed the following triangular matrix interpretation. 214.09/60.02 Note that the diagonal of the component-wise maxima of 214.09/60.02 interpretation-entries contains no more than 1 non-zero entries. 214.09/60.02 214.09/60.02 [+](x1, x2) = [1] x1 + [1] x2 + [2] 214.09/60.02 214.09/60.02 [0_2](x1, x2) = [1] x1 + [1] x2 + [0] 214.09/60.02 214.09/60.02 [1_1](x1) = [1] x1 + [2] 214.09/60.02 214.09/60.02 [1] = [1] 214.09/60.02 214.09/60.02 [0] = [1] 214.09/60.02 214.09/60.02 [0_1](x1) = [1] x1 + [1] 214.09/60.02 214.09/60.02 The order satisfies the following ordering constraints: 214.09/60.02 214.09/60.02 [+(1(), x_1)] = [1] x_1 + [3] 214.09/60.02 > [1] x_1 + [2] 214.09/60.02 = [1_1(x_1)] 214.09/60.02 214.09/60.02 [+(0(), x_1)] = [1] x_1 + [3] 214.09/60.02 > [1] x_1 + [1] 214.09/60.02 = [0_1(x_1)] 214.09/60.02 214.09/60.02 [+(0_1(x_1), x_2)] = [1] x_1 + [1] x_2 + [3] 214.09/60.02 > [1] x_1 + [1] x_2 + [0] 214.09/60.02 = [0_2(x_1, x_2)] 214.09/60.02 214.09/60.02 [0_2(x, x_1)] = [1] x_1 + [1] x + [0] 214.09/60.02 ? [1] x_1 + [1] x + [2] 214.09/60.02 = [+(x, x_1)] 214.09/60.02 214.09/60.02 [1_1(x)] = [1] x + [2] 214.09/60.02 > [1] x + [1] 214.09/60.02 = [0_2(1(), x)] 214.09/60.02 214.09/60.02 214.09/60.02 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 214.09/60.02 214.09/60.02 We are left with following problem, upon which TcT provides the 214.09/60.02 certificate MAYBE. 214.09/60.02 214.09/60.02 Strict Trs: { 0_2(x, x_1) -> +(x, x_1) } 214.09/60.02 Weak Trs: 214.09/60.02 { +(1(), x_1) -> 1_1(x_1) 214.09/60.02 , +(0(), x_1) -> 0_1(x_1) 214.09/60.02 , +(0_1(x_1), x_2) -> 0_2(x_1, x_2) 214.09/60.02 , 1_1(x) -> 0_2(1(), x) } 214.09/60.02 Obligation: 214.09/60.02 derivational complexity 214.09/60.02 Answer: 214.09/60.02 MAYBE 214.09/60.02 214.09/60.02 None of the processors succeeded. 214.09/60.02 214.09/60.02 Details of failed attempt(s): 214.09/60.02 ----------------------------- 214.09/60.02 1) 'empty' failed due to the following reason: 214.09/60.02 214.09/60.02 Empty strict component of the problem is NOT empty. 214.09/60.02 214.09/60.02 2) 'Fastest' failed due to the following reason: 214.09/60.02 214.09/60.02 None of the processors succeeded. 214.09/60.02 214.09/60.02 Details of failed attempt(s): 214.09/60.02 ----------------------------- 214.09/60.02 1) 'Fastest (timeout of 30 seconds)' failed due to the following 214.09/60.02 reason: 214.09/60.02 214.09/60.02 Computation stopped due to timeout after 30.0 seconds. 214.09/60.02 214.09/60.02 2) 'bsearch-matrix' failed due to the following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 3) 'iteProgress' failed due to the following reason: 214.09/60.02 214.09/60.02 Fail 214.09/60.02 214.09/60.02 4) 'Fastest' failed due to the following reason: 214.09/60.02 214.09/60.02 None of the processors succeeded. 214.09/60.02 214.09/60.02 Details of failed attempt(s): 214.09/60.02 ----------------------------- 214.09/60.02 1) 'matrix interpretation of dimension 6' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 2) 'matrix interpretation of dimension 5' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 3) 'matrix interpretation of dimension 4' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 4) 'matrix interpretation of dimension 3' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 5) 'matrix interpretation of dimension 2' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 6) 'matrix interpretation of dimension 1' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 214.09/60.02 214.09/60.02 214.09/60.02 3) 'iteProgress (timeout of 297 seconds)' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 Fail 214.09/60.02 214.09/60.02 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 214.09/60.02 following reason: 214.09/60.02 214.09/60.02 The input cannot be shown compatible 214.09/60.02 214.09/60.02 214.09/60.02 Arrrr.. 214.09/60.02 EOF