MAYBE 534.84/180.33 MAYBE 534.84/180.33 534.84/180.33 We are left with following problem, upon which TcT provides the 534.84/180.33 certificate MAYBE. 534.84/180.33 534.84/180.33 Strict Trs: 534.84/180.33 { a(x1) -> b(x1) 534.84/180.33 , a(c(x1)) -> c(b(c(b(a(a(x1)))))) 534.84/180.33 , b(b(x1)) -> x1 } 534.84/180.33 Obligation: 534.84/180.33 derivational complexity 534.84/180.33 Answer: 534.84/180.33 MAYBE 534.84/180.33 534.84/180.33 None of the processors succeeded. 534.84/180.33 534.84/180.33 Details of failed attempt(s): 534.84/180.33 ----------------------------- 534.84/180.33 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 534.84/180.33 the following reason: 534.84/180.33 534.84/180.33 The weightgap principle applies (using the following nonconstant 534.84/180.33 growth matrix-interpretation) 534.84/180.33 534.84/180.33 TcT has computed the following triangular matrix interpretation. 534.84/180.33 Note that the diagonal of the component-wise maxima of 534.84/180.33 interpretation-entries contains no more than 1 non-zero entries. 534.84/180.33 534.84/180.33 [a](x1) = [1] x1 + [0] 534.84/180.33 534.84/180.33 [b](x1) = [1] x1 + [2] 534.84/180.33 534.84/180.33 [c](x1) = [1] x1 + [0] 534.84/180.33 534.84/180.33 The order satisfies the following ordering constraints: 534.84/180.33 534.84/180.33 [a(x1)] = [1] x1 + [0] 534.84/180.33 ? [1] x1 + [2] 534.84/180.33 = [b(x1)] 534.84/180.33 534.84/180.33 [a(c(x1))] = [1] x1 + [0] 534.84/180.33 ? [1] x1 + [4] 534.84/180.33 = [c(b(c(b(a(a(x1))))))] 534.84/180.33 534.84/180.33 [b(b(x1))] = [1] x1 + [4] 534.84/180.33 > [1] x1 + [0] 534.84/180.33 = [x1] 534.84/180.33 534.84/180.33 534.84/180.33 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 534.84/180.33 534.84/180.33 We are left with following problem, upon which TcT provides the 534.84/180.33 certificate MAYBE. 534.84/180.33 534.84/180.33 Strict Trs: 534.84/180.33 { a(x1) -> b(x1) 534.84/180.33 , a(c(x1)) -> c(b(c(b(a(a(x1)))))) } 534.84/180.33 Weak Trs: { b(b(x1)) -> x1 } 534.84/180.33 Obligation: 534.84/180.33 derivational complexity 534.84/180.33 Answer: 534.84/180.33 MAYBE 534.84/180.33 534.84/180.33 The weightgap principle applies (using the following nonconstant 534.84/180.33 growth matrix-interpretation) 534.84/180.33 534.84/180.33 TcT has computed the following triangular matrix interpretation. 534.84/180.33 Note that the diagonal of the component-wise maxima of 534.84/180.33 interpretation-entries contains no more than 1 non-zero entries. 534.84/180.33 534.84/180.33 [a](x1) = [1] x1 + [1] 534.84/180.33 534.84/180.33 [b](x1) = [1] x1 + [0] 534.84/180.33 534.84/180.33 [c](x1) = [1] x1 + [0] 534.84/180.33 534.84/180.33 The order satisfies the following ordering constraints: 534.84/180.33 534.84/180.33 [a(x1)] = [1] x1 + [1] 534.84/180.33 > [1] x1 + [0] 534.84/180.33 = [b(x1)] 534.84/180.33 534.84/180.33 [a(c(x1))] = [1] x1 + [1] 534.84/180.33 ? [1] x1 + [2] 534.84/180.33 = [c(b(c(b(a(a(x1))))))] 534.84/180.33 534.84/180.33 [b(b(x1))] = [1] x1 + [0] 534.84/180.33 >= [1] x1 + [0] 534.84/180.33 = [x1] 534.84/180.33 534.84/180.33 534.84/180.33 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 534.84/180.33 534.84/180.33 We are left with following problem, upon which TcT provides the 534.84/180.33 certificate MAYBE. 534.84/180.33 534.84/180.33 Strict Trs: { a(c(x1)) -> c(b(c(b(a(a(x1)))))) } 534.84/180.33 Weak Trs: 534.84/180.33 { a(x1) -> b(x1) 534.84/180.33 , b(b(x1)) -> x1 } 534.84/180.33 Obligation: 534.84/180.33 derivational complexity 534.84/180.33 Answer: 534.84/180.33 MAYBE 534.84/180.33 534.84/180.33 None of the processors succeeded. 534.84/180.33 534.84/180.33 Details of failed attempt(s): 534.84/180.33 ----------------------------- 534.84/180.33 1) 'empty' failed due to the following reason: 534.84/180.33 534.84/180.33 Empty strict component of the problem is NOT empty. 534.84/180.33 534.84/180.33 2) 'Fastest' failed due to the following reason: 534.84/180.33 534.84/180.33 None of the processors succeeded. 534.84/180.33 534.84/180.33 Details of failed attempt(s): 534.84/180.33 ----------------------------- 534.84/180.33 1) 'bsearch-matrix' failed due to the following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 2) 'iteProgress' failed due to the following reason: 534.84/180.33 534.84/180.33 Fail 534.84/180.33 534.84/180.33 3) 'Fastest' failed due to the following reason: 534.84/180.33 534.84/180.33 None of the processors succeeded. 534.84/180.33 534.84/180.33 Details of failed attempt(s): 534.84/180.33 ----------------------------- 534.84/180.33 1) 'matrix interpretation of dimension 6' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 2) 'matrix interpretation of dimension 5' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 3) 'matrix interpretation of dimension 4' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 4) 'matrix interpretation of dimension 3' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 5) 'matrix interpretation of dimension 2' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 6) 'matrix interpretation of dimension 1' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 534.84/180.33 4) 'Fastest (timeout of 30 seconds)' failed due to the following 534.84/180.33 reason: 534.84/180.33 534.84/180.33 Computation stopped due to timeout after 30.0 seconds. 534.84/180.33 534.84/180.33 534.84/180.33 534.84/180.33 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 The input cannot be shown compatible 534.84/180.33 534.84/180.33 3) 'iteProgress (timeout of 297 seconds)' failed due to the 534.84/180.33 following reason: 534.84/180.33 534.84/180.33 Fail 534.84/180.33 534.84/180.33 4) 'Fastest (timeout of 60 seconds)' failed due to the following 534.84/180.33 reason: 534.84/180.33 534.84/180.33 Computation stopped due to timeout after 60.0 seconds. 534.84/180.33 534.84/180.33 534.84/180.33 Arrrr.. 534.84/180.40 EOF