MAYBE 251.36/87.92 MAYBE 251.36/87.92 251.36/87.92 We are left with following problem, upon which TcT provides the 251.36/87.92 certificate MAYBE. 251.36/87.92 251.36/87.92 Strict Trs: 251.36/87.92 { a(a(a(x1))) -> b(x1) 251.36/87.92 , b(b(x1)) -> a(a(x1)) 251.36/87.92 , b(b(x1)) -> b(a(b(x1))) } 251.36/87.92 Obligation: 251.36/87.92 derivational complexity 251.36/87.92 Answer: 251.36/87.92 MAYBE 251.36/87.92 251.36/87.92 None of the processors succeeded. 251.36/87.92 251.36/87.92 Details of failed attempt(s): 251.36/87.92 ----------------------------- 251.36/87.92 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 251.36/87.92 the following reason: 251.36/87.92 251.36/87.92 The weightgap principle applies (using the following nonconstant 251.36/87.92 growth matrix-interpretation) 251.36/87.92 251.36/87.92 TcT has computed the following triangular matrix interpretation. 251.36/87.92 Note that the diagonal of the component-wise maxima of 251.36/87.92 interpretation-entries contains no more than 1 non-zero entries. 251.36/87.92 251.36/87.92 [a](x1) = [1] x1 + [0] 251.36/87.92 251.36/87.92 [b](x1) = [1] x1 + [2] 251.36/87.92 251.36/87.92 The order satisfies the following ordering constraints: 251.36/87.92 251.36/87.92 [a(a(a(x1)))] = [1] x1 + [0] 251.36/87.92 ? [1] x1 + [2] 251.36/87.92 = [b(x1)] 251.36/87.92 251.36/87.92 [b(b(x1))] = [1] x1 + [4] 251.36/87.92 > [1] x1 + [0] 251.36/87.92 = [a(a(x1))] 251.36/87.92 251.36/87.92 [b(b(x1))] = [1] x1 + [4] 251.36/87.92 >= [1] x1 + [4] 251.36/87.92 = [b(a(b(x1)))] 251.36/87.92 251.36/87.92 251.36/87.92 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 251.36/87.92 251.36/87.92 We are left with following problem, upon which TcT provides the 251.36/87.92 certificate MAYBE. 251.36/87.92 251.36/87.92 Strict Trs: 251.36/87.92 { a(a(a(x1))) -> b(x1) 251.36/87.92 , b(b(x1)) -> b(a(b(x1))) } 251.36/87.92 Weak Trs: { b(b(x1)) -> a(a(x1)) } 251.36/87.92 Obligation: 251.36/87.92 derivational complexity 251.36/87.92 Answer: 251.36/87.92 MAYBE 251.36/87.92 251.36/87.92 The weightgap principle applies (using the following nonconstant 251.36/87.92 growth matrix-interpretation) 251.36/87.92 251.36/87.92 TcT has computed the following triangular matrix interpretation. 251.36/87.92 Note that the diagonal of the component-wise maxima of 251.36/87.92 interpretation-entries contains no more than 1 non-zero entries. 251.36/87.92 251.36/87.92 [a](x1) = [1] x1 + [2] 251.36/87.92 251.36/87.92 [b](x1) = [1] x1 + [2] 251.36/87.92 251.36/87.92 The order satisfies the following ordering constraints: 251.36/87.92 251.36/87.92 [a(a(a(x1)))] = [1] x1 + [6] 251.36/87.92 > [1] x1 + [2] 251.36/87.92 = [b(x1)] 251.36/87.92 251.36/87.92 [b(b(x1))] = [1] x1 + [4] 251.36/87.92 >= [1] x1 + [4] 251.36/87.92 = [a(a(x1))] 251.36/87.92 251.36/87.92 [b(b(x1))] = [1] x1 + [4] 251.36/87.92 ? [1] x1 + [6] 251.36/87.92 = [b(a(b(x1)))] 251.36/87.92 251.36/87.92 251.36/87.92 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 251.36/87.92 251.36/87.92 We are left with following problem, upon which TcT provides the 251.36/87.92 certificate MAYBE. 251.36/87.92 251.36/87.92 Strict Trs: { b(b(x1)) -> b(a(b(x1))) } 251.36/87.92 Weak Trs: 251.36/87.92 { a(a(a(x1))) -> b(x1) 251.36/87.92 , b(b(x1)) -> a(a(x1)) } 251.36/87.92 Obligation: 251.36/87.92 derivational complexity 251.36/87.92 Answer: 251.36/87.92 MAYBE 251.36/87.92 251.36/87.92 None of the processors succeeded. 251.36/87.92 251.36/87.92 Details of failed attempt(s): 251.36/87.92 ----------------------------- 251.36/87.92 1) 'empty' failed due to the following reason: 251.36/87.92 251.36/87.92 Empty strict component of the problem is NOT empty. 251.36/87.92 251.36/87.92 2) 'Fastest' failed due to the following reason: 251.36/87.92 251.36/87.92 None of the processors succeeded. 251.36/87.92 251.36/87.92 Details of failed attempt(s): 251.36/87.92 ----------------------------- 251.36/87.92 1) 'Fastest' failed due to the following reason: 251.36/87.92 251.36/87.92 None of the processors succeeded. 251.36/87.92 251.36/87.92 Details of failed attempt(s): 251.36/87.92 ----------------------------- 251.36/87.92 1) 'matrix interpretation of dimension 6' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 2) 'matrix interpretation of dimension 5' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 3) 'matrix interpretation of dimension 4' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 4) 'matrix interpretation of dimension 3' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 5) 'matrix interpretation of dimension 2' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 6) 'matrix interpretation of dimension 1' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 251.36/87.92 2) 'Fastest (timeout of 30 seconds)' failed due to the following 251.36/87.92 reason: 251.36/87.92 251.36/87.92 Computation stopped due to timeout after 30.0 seconds. 251.36/87.92 251.36/87.92 3) 'iteProgress' failed due to the following reason: 251.36/87.92 251.36/87.92 Fail 251.36/87.92 251.36/87.92 4) 'bsearch-matrix' failed due to the following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 251.36/87.92 251.36/87.92 2) 'Fastest (timeout of 60 seconds)' failed due to the following 251.36/87.92 reason: 251.36/87.92 251.36/87.92 Computation stopped due to timeout after 60.0 seconds. 251.36/87.92 251.36/87.92 3) 'iteProgress (timeout of 297 seconds)' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 Fail 251.36/87.92 251.36/87.92 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 251.36/87.92 following reason: 251.36/87.92 251.36/87.92 The input cannot be shown compatible 251.36/87.92 251.36/87.92 251.36/87.92 Arrrr.. 251.36/87.94 EOF