MAYBE 464.41/159.12 MAYBE 464.41/159.12 464.41/159.12 We are left with following problem, upon which TcT provides the 464.41/159.12 certificate MAYBE. 464.41/159.12 464.41/159.12 Strict Trs: 464.41/159.12 { a(x1) -> x1 464.41/159.12 , a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) 464.41/159.12 , b(x1) -> x1 464.41/159.12 , c(x1) -> x1 } 464.41/159.12 Obligation: 464.41/159.12 derivational complexity 464.41/159.12 Answer: 464.41/159.12 MAYBE 464.41/159.12 464.41/159.12 None of the processors succeeded. 464.41/159.12 464.41/159.12 Details of failed attempt(s): 464.41/159.12 ----------------------------- 464.41/159.12 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 464.41/159.12 the following reason: 464.41/159.12 464.41/159.12 The weightgap principle applies (using the following nonconstant 464.41/159.12 growth matrix-interpretation) 464.41/159.12 464.41/159.12 TcT has computed the following triangular matrix interpretation. 464.41/159.12 Note that the diagonal of the component-wise maxima of 464.41/159.12 interpretation-entries contains no more than 1 non-zero entries. 464.41/159.12 464.41/159.12 [a](x1) = [1] x1 + [1] 464.41/159.12 464.41/159.12 [b](x1) = [1] x1 + [0] 464.41/159.12 464.41/159.12 [c](x1) = [1] x1 + [0] 464.41/159.12 464.41/159.12 The order satisfies the following ordering constraints: 464.41/159.12 464.41/159.12 [a(x1)] = [1] x1 + [1] 464.41/159.12 > [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 [a(b(c(x1)))] = [1] x1 + [1] 464.41/159.12 ? [1] x1 + [2] 464.41/159.12 = [c(b(a(a(c(b(x1))))))] 464.41/159.12 464.41/159.12 [b(x1)] = [1] x1 + [0] 464.41/159.12 >= [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 [c(x1)] = [1] x1 + [0] 464.41/159.12 >= [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 464.41/159.12 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 464.41/159.12 464.41/159.12 We are left with following problem, upon which TcT provides the 464.41/159.12 certificate MAYBE. 464.41/159.12 464.41/159.12 Strict Trs: 464.41/159.12 { a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) 464.41/159.12 , b(x1) -> x1 464.41/159.12 , c(x1) -> x1 } 464.41/159.12 Weak Trs: { a(x1) -> x1 } 464.41/159.12 Obligation: 464.41/159.12 derivational complexity 464.41/159.12 Answer: 464.41/159.12 MAYBE 464.41/159.12 464.41/159.12 The weightgap principle applies (using the following nonconstant 464.41/159.12 growth matrix-interpretation) 464.41/159.12 464.41/159.12 TcT has computed the following triangular matrix interpretation. 464.41/159.12 Note that the diagonal of the component-wise maxima of 464.41/159.12 interpretation-entries contains no more than 1 non-zero entries. 464.41/159.12 464.41/159.12 [a](x1) = [1] x1 + [0] 464.41/159.12 464.41/159.12 [b](x1) = [1] x1 + [0] 464.41/159.12 464.41/159.12 [c](x1) = [1] x1 + [1] 464.41/159.12 464.41/159.12 The order satisfies the following ordering constraints: 464.41/159.12 464.41/159.12 [a(x1)] = [1] x1 + [0] 464.41/159.12 >= [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 [a(b(c(x1)))] = [1] x1 + [1] 464.41/159.12 ? [1] x1 + [2] 464.41/159.12 = [c(b(a(a(c(b(x1))))))] 464.41/159.12 464.41/159.12 [b(x1)] = [1] x1 + [0] 464.41/159.12 >= [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 [c(x1)] = [1] x1 + [1] 464.41/159.12 > [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 464.41/159.12 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 464.41/159.12 464.41/159.12 We are left with following problem, upon which TcT provides the 464.41/159.12 certificate MAYBE. 464.41/159.12 464.41/159.12 Strict Trs: 464.41/159.12 { a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) 464.41/159.12 , b(x1) -> x1 } 464.41/159.12 Weak Trs: 464.41/159.12 { a(x1) -> x1 464.41/159.12 , c(x1) -> x1 } 464.41/159.12 Obligation: 464.41/159.12 derivational complexity 464.41/159.12 Answer: 464.41/159.12 MAYBE 464.41/159.12 464.41/159.12 The weightgap principle applies (using the following nonconstant 464.41/159.12 growth matrix-interpretation) 464.41/159.12 464.41/159.12 TcT has computed the following triangular matrix interpretation. 464.41/159.12 Note that the diagonal of the component-wise maxima of 464.41/159.12 interpretation-entries contains no more than 1 non-zero entries. 464.41/159.12 464.41/159.12 [a](x1) = [1] x1 + [1] 464.41/159.12 464.41/159.12 [b](x1) = [1] x1 + [2] 464.41/159.12 464.41/159.12 [c](x1) = [1] x1 + [0] 464.41/159.12 464.41/159.12 The order satisfies the following ordering constraints: 464.41/159.12 464.41/159.12 [a(x1)] = [1] x1 + [1] 464.41/159.12 > [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 [a(b(c(x1)))] = [1] x1 + [3] 464.41/159.12 ? [1] x1 + [6] 464.41/159.12 = [c(b(a(a(c(b(x1))))))] 464.41/159.12 464.41/159.12 [b(x1)] = [1] x1 + [2] 464.41/159.12 > [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 [c(x1)] = [1] x1 + [0] 464.41/159.12 >= [1] x1 + [0] 464.41/159.12 = [x1] 464.41/159.12 464.41/159.12 464.41/159.12 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 464.41/159.12 464.41/159.12 We are left with following problem, upon which TcT provides the 464.41/159.12 certificate MAYBE. 464.41/159.12 464.41/159.12 Strict Trs: { a(b(c(x1))) -> c(b(a(a(c(b(x1)))))) } 464.41/159.12 Weak Trs: 464.41/159.12 { a(x1) -> x1 464.41/159.12 , b(x1) -> x1 464.41/159.12 , c(x1) -> x1 } 464.41/159.12 Obligation: 464.41/159.12 derivational complexity 464.41/159.12 Answer: 464.41/159.12 MAYBE 464.41/159.12 464.41/159.12 None of the processors succeeded. 464.41/159.12 464.41/159.12 Details of failed attempt(s): 464.41/159.12 ----------------------------- 464.41/159.12 1) 'empty' failed due to the following reason: 464.41/159.12 464.41/159.12 Empty strict component of the problem is NOT empty. 464.41/159.12 464.41/159.12 2) 'Fastest' failed due to the following reason: 464.41/159.12 464.41/159.12 None of the processors succeeded. 464.41/159.12 464.41/159.12 Details of failed attempt(s): 464.41/159.12 ----------------------------- 464.41/159.12 1) 'bsearch-matrix' failed due to the following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 2) 'iteProgress' failed due to the following reason: 464.41/159.12 464.41/159.12 Fail 464.41/159.12 464.41/159.12 3) 'Fastest' failed due to the following reason: 464.41/159.12 464.41/159.12 None of the processors succeeded. 464.41/159.12 464.41/159.12 Details of failed attempt(s): 464.41/159.12 ----------------------------- 464.41/159.12 1) 'matrix interpretation of dimension 6' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 2) 'matrix interpretation of dimension 5' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 3) 'matrix interpretation of dimension 4' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 4) 'matrix interpretation of dimension 3' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 5) 'matrix interpretation of dimension 2' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 6) 'matrix interpretation of dimension 1' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 464.41/159.12 4) 'Fastest (timeout of 30 seconds)' failed due to the following 464.41/159.12 reason: 464.41/159.12 464.41/159.12 Computation stopped due to timeout after 30.0 seconds. 464.41/159.12 464.41/159.12 464.41/159.12 464.41/159.12 2) 'iteProgress (timeout of 297 seconds)' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 Fail 464.41/159.12 464.41/159.12 3) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 464.41/159.12 following reason: 464.41/159.12 464.41/159.12 The input cannot be shown compatible 464.41/159.12 464.41/159.12 4) 'Fastest (timeout of 60 seconds)' failed due to the following 464.41/159.12 reason: 464.41/159.12 464.41/159.12 Computation stopped due to timeout after 60.0 seconds. 464.41/159.12 464.41/159.12 464.41/159.12 Arrrr.. 464.41/159.19 EOF