MAYBE 286.60/116.47 MAYBE 286.60/116.47 286.60/116.47 We are left with following problem, upon which TcT provides the 286.60/116.47 certificate MAYBE. 286.60/116.47 286.60/116.47 Strict Trs: 286.60/116.47 { a(x1) -> b(x1) 286.60/116.47 , a(a(x1)) -> a(b(a(c(x1)))) 286.60/116.47 , c(b(b(x1))) -> a(x1) } 286.60/116.47 Obligation: 286.60/116.47 derivational complexity 286.60/116.47 Answer: 286.60/116.47 MAYBE 286.60/116.47 286.60/116.47 None of the processors succeeded. 286.60/116.47 286.60/116.47 Details of failed attempt(s): 286.60/116.47 ----------------------------- 286.60/116.47 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 286.60/116.47 the following reason: 286.60/116.47 286.60/116.47 The weightgap principle applies (using the following nonconstant 286.60/116.47 growth matrix-interpretation) 286.60/116.47 286.60/116.47 TcT has computed the following triangular matrix interpretation. 286.60/116.47 Note that the diagonal of the component-wise maxima of 286.60/116.47 interpretation-entries contains no more than 1 non-zero entries. 286.60/116.47 286.60/116.47 [a](x1) = [1] x1 + [2] 286.60/116.47 286.60/116.47 [b](x1) = [1] x1 + [0] 286.60/116.47 286.60/116.47 [c](x1) = [1] x1 + [0] 286.60/116.47 286.60/116.47 The order satisfies the following ordering constraints: 286.60/116.47 286.60/116.47 [a(x1)] = [1] x1 + [2] 286.60/116.47 > [1] x1 + [0] 286.60/116.47 = [b(x1)] 286.60/116.47 286.60/116.47 [a(a(x1))] = [1] x1 + [4] 286.60/116.47 >= [1] x1 + [4] 286.60/116.47 = [a(b(a(c(x1))))] 286.60/116.47 286.60/116.47 [c(b(b(x1)))] = [1] x1 + [0] 286.60/116.47 ? [1] x1 + [2] 286.60/116.47 = [a(x1)] 286.60/116.47 286.60/116.47 286.60/116.47 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 286.60/116.47 286.60/116.47 We are left with following problem, upon which TcT provides the 286.60/116.47 certificate MAYBE. 286.60/116.47 286.60/116.47 Strict Trs: 286.60/116.47 { a(a(x1)) -> a(b(a(c(x1)))) 286.60/116.47 , c(b(b(x1))) -> a(x1) } 286.60/116.47 Weak Trs: { a(x1) -> b(x1) } 286.60/116.47 Obligation: 286.60/116.47 derivational complexity 286.60/116.47 Answer: 286.60/116.47 MAYBE 286.60/116.47 286.60/116.47 The weightgap principle applies (using the following nonconstant 286.60/116.47 growth matrix-interpretation) 286.60/116.47 286.60/116.47 TcT has computed the following triangular matrix interpretation. 286.60/116.47 Note that the diagonal of the component-wise maxima of 286.60/116.47 interpretation-entries contains no more than 1 non-zero entries. 286.60/116.47 286.60/116.47 [a](x1) = [1] x1 + [2] 286.60/116.47 286.60/116.47 [b](x1) = [1] x1 + [2] 286.60/116.47 286.60/116.47 [c](x1) = [1] x1 + [0] 286.60/116.47 286.60/116.47 The order satisfies the following ordering constraints: 286.60/116.47 286.60/116.47 [a(x1)] = [1] x1 + [2] 286.60/116.47 >= [1] x1 + [2] 286.60/116.47 = [b(x1)] 286.60/116.47 286.60/116.47 [a(a(x1))] = [1] x1 + [4] 286.60/116.47 ? [1] x1 + [6] 286.60/116.47 = [a(b(a(c(x1))))] 286.60/116.47 286.60/116.47 [c(b(b(x1)))] = [1] x1 + [4] 286.60/116.47 > [1] x1 + [2] 286.60/116.47 = [a(x1)] 286.60/116.47 286.60/116.47 286.60/116.47 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 286.60/116.47 286.60/116.47 We are left with following problem, upon which TcT provides the 286.60/116.47 certificate MAYBE. 286.60/116.47 286.60/116.47 Strict Trs: { a(a(x1)) -> a(b(a(c(x1)))) } 286.60/116.47 Weak Trs: 286.60/116.47 { a(x1) -> b(x1) 286.60/116.47 , c(b(b(x1))) -> a(x1) } 286.60/116.47 Obligation: 286.60/116.47 derivational complexity 286.60/116.47 Answer: 286.60/116.47 MAYBE 286.60/116.47 286.60/116.47 None of the processors succeeded. 286.60/116.47 286.60/116.47 Details of failed attempt(s): 286.60/116.47 ----------------------------- 286.60/116.47 1) 'empty' failed due to the following reason: 286.60/116.47 286.60/116.47 Empty strict component of the problem is NOT empty. 286.60/116.47 286.60/116.47 2) 'Fastest' failed due to the following reason: 286.60/116.47 286.60/116.47 None of the processors succeeded. 286.60/116.47 286.60/116.47 Details of failed attempt(s): 286.60/116.47 ----------------------------- 286.60/116.47 1) 'Fastest' failed due to the following reason: 286.60/116.47 286.60/116.47 None of the processors succeeded. 286.60/116.47 286.60/116.47 Details of failed attempt(s): 286.60/116.47 ----------------------------- 286.60/116.47 1) 'matrix interpretation of dimension 6' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 2) 'matrix interpretation of dimension 5' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 3) 'matrix interpretation of dimension 4' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 4) 'matrix interpretation of dimension 3' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 5) 'matrix interpretation of dimension 2' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 6) 'matrix interpretation of dimension 1' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 286.60/116.47 2) 'Fastest (timeout of 30 seconds)' failed due to the following 286.60/116.47 reason: 286.60/116.47 286.60/116.47 Computation stopped due to timeout after 30.0 seconds. 286.60/116.47 286.60/116.47 3) 'iteProgress' failed due to the following reason: 286.60/116.47 286.60/116.47 Fail 286.60/116.47 286.60/116.47 4) 'bsearch-matrix' failed due to the following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 286.60/116.47 286.60/116.47 2) 'Fastest (timeout of 60 seconds)' failed due to the following 286.60/116.47 reason: 286.60/116.47 286.60/116.47 Computation stopped due to timeout after 60.0 seconds. 286.60/116.47 286.60/116.47 3) 'iteProgress (timeout of 297 seconds)' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 Fail 286.60/116.47 286.60/116.47 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 286.60/116.47 following reason: 286.60/116.47 286.60/116.47 The input cannot be shown compatible 286.60/116.47 286.60/116.47 286.60/116.47 Arrrr.. 286.60/116.49 EOF