MAYBE 428.39/252.11 MAYBE 428.39/252.11 428.39/252.11 We are left with following problem, upon which TcT provides the 428.39/252.11 certificate MAYBE. 428.39/252.11 428.39/252.11 Strict Trs: 428.39/252.11 { a(x1) -> b(c(x1)) 428.39/252.11 , b(b(x1)) -> x1 428.39/252.11 , c(c(b(x1))) -> a(a(c(x1))) } 428.39/252.11 Obligation: 428.39/252.11 derivational complexity 428.39/252.11 Answer: 428.39/252.11 MAYBE 428.39/252.11 428.39/252.11 None of the processors succeeded. 428.39/252.11 428.39/252.11 Details of failed attempt(s): 428.39/252.11 ----------------------------- 428.39/252.11 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 428.39/252.11 the following reason: 428.39/252.11 428.39/252.11 The weightgap principle applies (using the following nonconstant 428.39/252.11 growth matrix-interpretation) 428.39/252.11 428.39/252.11 TcT has computed the following triangular matrix interpretation. 428.39/252.11 Note that the diagonal of the component-wise maxima of 428.39/252.11 interpretation-entries contains no more than 1 non-zero entries. 428.39/252.11 428.39/252.11 [a](x1) = [1] x1 + [2] 428.39/252.11 428.39/252.11 [b](x1) = [1] x1 + [0] 428.39/252.11 428.39/252.11 [c](x1) = [1] x1 + [0] 428.39/252.11 428.39/252.11 The order satisfies the following ordering constraints: 428.39/252.11 428.39/252.11 [a(x1)] = [1] x1 + [2] 428.39/252.11 > [1] x1 + [0] 428.39/252.11 = [b(c(x1))] 428.39/252.11 428.39/252.11 [b(b(x1))] = [1] x1 + [0] 428.39/252.11 >= [1] x1 + [0] 428.39/252.11 = [x1] 428.39/252.11 428.39/252.11 [c(c(b(x1)))] = [1] x1 + [0] 428.39/252.11 ? [1] x1 + [4] 428.39/252.11 = [a(a(c(x1)))] 428.39/252.11 428.39/252.11 428.39/252.11 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 428.39/252.11 428.39/252.11 We are left with following problem, upon which TcT provides the 428.39/252.11 certificate MAYBE. 428.39/252.11 428.39/252.11 Strict Trs: 428.39/252.11 { b(b(x1)) -> x1 428.39/252.11 , c(c(b(x1))) -> a(a(c(x1))) } 428.39/252.11 Weak Trs: { a(x1) -> b(c(x1)) } 428.39/252.11 Obligation: 428.39/252.11 derivational complexity 428.39/252.11 Answer: 428.39/252.11 MAYBE 428.39/252.11 428.39/252.11 The weightgap principle applies (using the following nonconstant 428.39/252.11 growth matrix-interpretation) 428.39/252.11 428.39/252.11 TcT has computed the following triangular matrix interpretation. 428.39/252.11 Note that the diagonal of the component-wise maxima of 428.39/252.11 interpretation-entries contains no more than 1 non-zero entries. 428.39/252.11 428.39/252.11 [a](x1) = [1] x1 + [2] 428.39/252.11 428.39/252.11 [b](x1) = [1] x1 + [1] 428.39/252.11 428.39/252.11 [c](x1) = [1] x1 + [0] 428.39/252.11 428.39/252.11 The order satisfies the following ordering constraints: 428.39/252.11 428.39/252.11 [a(x1)] = [1] x1 + [2] 428.39/252.11 > [1] x1 + [1] 428.39/252.11 = [b(c(x1))] 428.39/252.11 428.39/252.11 [b(b(x1))] = [1] x1 + [2] 428.39/252.11 > [1] x1 + [0] 428.39/252.11 = [x1] 428.39/252.11 428.39/252.11 [c(c(b(x1)))] = [1] x1 + [1] 428.39/252.11 ? [1] x1 + [4] 428.39/252.11 = [a(a(c(x1)))] 428.39/252.11 428.39/252.11 428.39/252.11 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 428.39/252.11 428.39/252.11 We are left with following problem, upon which TcT provides the 428.39/252.11 certificate MAYBE. 428.39/252.11 428.39/252.11 Strict Trs: { c(c(b(x1))) -> a(a(c(x1))) } 428.39/252.11 Weak Trs: 428.39/252.11 { a(x1) -> b(c(x1)) 428.39/252.11 , b(b(x1)) -> x1 } 428.39/252.11 Obligation: 428.39/252.11 derivational complexity 428.39/252.11 Answer: 428.39/252.11 MAYBE 428.39/252.11 428.39/252.11 None of the processors succeeded. 428.39/252.11 428.39/252.11 Details of failed attempt(s): 428.39/252.11 ----------------------------- 428.39/252.11 1) 'empty' failed due to the following reason: 428.39/252.11 428.39/252.11 Empty strict component of the problem is NOT empty. 428.39/252.11 428.39/252.11 2) 'Fastest' failed due to the following reason: 428.39/252.11 428.39/252.11 None of the processors succeeded. 428.39/252.11 428.39/252.11 Details of failed attempt(s): 428.39/252.11 ----------------------------- 428.39/252.11 1) 'Fastest' failed due to the following reason: 428.39/252.11 428.39/252.11 None of the processors succeeded. 428.39/252.11 428.39/252.11 Details of failed attempt(s): 428.39/252.11 ----------------------------- 428.39/252.11 1) 'matrix interpretation of dimension 6' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 2) 'matrix interpretation of dimension 5' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 3) 'matrix interpretation of dimension 4' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 4) 'matrix interpretation of dimension 3' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 5) 'matrix interpretation of dimension 2' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 6) 'matrix interpretation of dimension 1' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 428.39/252.11 2) 'Fastest (timeout of 30 seconds)' failed due to the following 428.39/252.11 reason: 428.39/252.11 428.39/252.11 Computation stopped due to timeout after 30.0 seconds. 428.39/252.11 428.39/252.11 3) 'iteProgress' failed due to the following reason: 428.39/252.11 428.39/252.11 Fail 428.39/252.11 428.39/252.11 4) 'bsearch-matrix' failed due to the following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 428.39/252.11 428.39/252.11 2) 'Fastest (timeout of 60 seconds)' failed due to the following 428.39/252.11 reason: 428.39/252.11 428.39/252.11 Computation stopped due to timeout after 60.0 seconds. 428.39/252.11 428.39/252.11 3) 'iteProgress (timeout of 297 seconds)' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 Fail 428.39/252.11 428.39/252.11 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 428.39/252.11 following reason: 428.39/252.11 428.39/252.11 The input cannot be shown compatible 428.39/252.11 428.39/252.11 428.39/252.11 Arrrr.. 428.39/252.11 EOF