MAYBE 514.11/176.78 MAYBE 514.11/176.78 514.11/176.78 We are left with following problem, upon which TcT provides the 514.11/176.78 certificate MAYBE. 514.11/176.78 514.11/176.78 Strict Trs: 514.11/176.78 { a(x1) -> x1 514.11/176.78 , a(a(b(x1))) -> c(a(b(b(a(a(x1)))))) 514.11/176.78 , b(c(x1)) -> x1 } 514.11/176.78 Obligation: 514.11/176.78 derivational complexity 514.11/176.78 Answer: 514.11/176.78 MAYBE 514.11/176.78 514.11/176.78 None of the processors succeeded. 514.11/176.78 514.11/176.78 Details of failed attempt(s): 514.11/176.78 ----------------------------- 514.11/176.78 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 514.11/176.78 the following reason: 514.11/176.78 514.11/176.78 The weightgap principle applies (using the following nonconstant 514.11/176.78 growth matrix-interpretation) 514.11/176.78 514.11/176.78 TcT has computed the following triangular matrix interpretation. 514.11/176.78 Note that the diagonal of the component-wise maxima of 514.11/176.78 interpretation-entries contains no more than 1 non-zero entries. 514.11/176.78 514.11/176.78 [a](x1) = [1] x1 + [0] 514.11/176.78 514.11/176.78 [b](x1) = [1] x1 + [1] 514.11/176.78 514.11/176.78 [c](x1) = [1] x1 + [0] 514.11/176.78 514.11/176.78 The order satisfies the following ordering constraints: 514.11/176.78 514.11/176.78 [a(x1)] = [1] x1 + [0] 514.11/176.78 >= [1] x1 + [0] 514.11/176.78 = [x1] 514.11/176.78 514.11/176.78 [a(a(b(x1)))] = [1] x1 + [1] 514.11/176.78 ? [1] x1 + [2] 514.11/176.78 = [c(a(b(b(a(a(x1))))))] 514.11/176.78 514.11/176.78 [b(c(x1))] = [1] x1 + [1] 514.11/176.78 > [1] x1 + [0] 514.11/176.78 = [x1] 514.11/176.78 514.11/176.78 514.11/176.78 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 514.11/176.78 514.11/176.78 We are left with following problem, upon which TcT provides the 514.11/176.78 certificate MAYBE. 514.11/176.78 514.11/176.78 Strict Trs: 514.11/176.78 { a(x1) -> x1 514.11/176.78 , a(a(b(x1))) -> c(a(b(b(a(a(x1)))))) } 514.11/176.78 Weak Trs: { b(c(x1)) -> x1 } 514.11/176.78 Obligation: 514.11/176.78 derivational complexity 514.11/176.78 Answer: 514.11/176.78 MAYBE 514.11/176.78 514.11/176.78 The weightgap principle applies (using the following nonconstant 514.11/176.78 growth matrix-interpretation) 514.11/176.78 514.11/176.78 TcT has computed the following triangular matrix interpretation. 514.11/176.78 Note that the diagonal of the component-wise maxima of 514.11/176.78 interpretation-entries contains no more than 1 non-zero entries. 514.11/176.78 514.11/176.78 [a](x1) = [1] x1 + [2] 514.11/176.78 514.11/176.78 [b](x1) = [1] x1 + [0] 514.11/176.78 514.11/176.78 [c](x1) = [1] x1 + [1] 514.11/176.78 514.11/176.78 The order satisfies the following ordering constraints: 514.11/176.78 514.11/176.78 [a(x1)] = [1] x1 + [2] 514.11/176.78 > [1] x1 + [0] 514.11/176.78 = [x1] 514.11/176.78 514.11/176.78 [a(a(b(x1)))] = [1] x1 + [4] 514.11/176.78 ? [1] x1 + [7] 514.11/176.78 = [c(a(b(b(a(a(x1))))))] 514.11/176.78 514.11/176.78 [b(c(x1))] = [1] x1 + [1] 514.11/176.78 > [1] x1 + [0] 514.11/176.78 = [x1] 514.11/176.78 514.11/176.78 514.11/176.78 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 514.11/176.78 514.11/176.78 We are left with following problem, upon which TcT provides the 514.11/176.78 certificate MAYBE. 514.11/176.78 514.11/176.78 Strict Trs: { a(a(b(x1))) -> c(a(b(b(a(a(x1)))))) } 514.11/176.78 Weak Trs: 514.11/176.78 { a(x1) -> x1 514.11/176.78 , b(c(x1)) -> x1 } 514.11/176.78 Obligation: 514.11/176.78 derivational complexity 514.11/176.78 Answer: 514.11/176.78 MAYBE 514.11/176.78 514.11/176.78 None of the processors succeeded. 514.11/176.78 514.11/176.78 Details of failed attempt(s): 514.11/176.78 ----------------------------- 514.11/176.78 1) 'empty' failed due to the following reason: 514.11/176.78 514.11/176.78 Empty strict component of the problem is NOT empty. 514.11/176.78 514.11/176.78 2) 'Fastest' failed due to the following reason: 514.11/176.78 514.11/176.78 None of the processors succeeded. 514.11/176.78 514.11/176.78 Details of failed attempt(s): 514.11/176.78 ----------------------------- 514.11/176.78 1) 'bsearch-matrix' failed due to the following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 2) 'iteProgress' failed due to the following reason: 514.11/176.78 514.11/176.78 Fail 514.11/176.78 514.11/176.78 3) 'Fastest' failed due to the following reason: 514.11/176.78 514.11/176.78 None of the processors succeeded. 514.11/176.78 514.11/176.78 Details of failed attempt(s): 514.11/176.78 ----------------------------- 514.11/176.78 1) 'matrix interpretation of dimension 6' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 2) 'matrix interpretation of dimension 5' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 3) 'matrix interpretation of dimension 4' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 4) 'matrix interpretation of dimension 3' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 5) 'matrix interpretation of dimension 2' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 6) 'matrix interpretation of dimension 1' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 514.11/176.78 4) 'Fastest (timeout of 30 seconds)' failed due to the following 514.11/176.78 reason: 514.11/176.78 514.11/176.78 Computation stopped due to timeout after 30.0 seconds. 514.11/176.78 514.11/176.78 514.11/176.78 514.11/176.78 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 The input cannot be shown compatible 514.11/176.78 514.11/176.78 3) 'iteProgress (timeout of 297 seconds)' failed due to the 514.11/176.78 following reason: 514.11/176.78 514.11/176.78 Fail 514.11/176.78 514.11/176.78 4) 'Fastest (timeout of 60 seconds)' failed due to the following 514.11/176.78 reason: 514.11/176.78 514.11/176.78 Computation stopped due to timeout after 60.0 seconds. 514.11/176.78 514.11/176.78 514.11/176.78 Arrrr.. 514.46/176.85 EOF