MAYBE 484.25/168.66 MAYBE 484.25/168.66 484.25/168.66 We are left with following problem, upon which TcT provides the 484.25/168.66 certificate MAYBE. 484.25/168.66 484.25/168.66 Strict Trs: 484.25/168.66 { a(b(x1)) -> x1 484.25/168.66 , a(c(x1)) -> c(b(b(c(a(a(x1)))))) 484.25/168.66 , b(c(x1)) -> x1 } 484.25/168.66 Obligation: 484.25/168.66 derivational complexity 484.25/168.66 Answer: 484.25/168.66 MAYBE 484.25/168.66 484.25/168.66 None of the processors succeeded. 484.25/168.66 484.25/168.66 Details of failed attempt(s): 484.25/168.66 ----------------------------- 484.25/168.66 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 484.25/168.66 the following reason: 484.25/168.66 484.25/168.66 The weightgap principle applies (using the following nonconstant 484.25/168.66 growth matrix-interpretation) 484.25/168.66 484.25/168.66 TcT has computed the following triangular matrix interpretation. 484.25/168.66 Note that the diagonal of the component-wise maxima of 484.25/168.66 interpretation-entries contains no more than 1 non-zero entries. 484.25/168.66 484.25/168.66 [a](x1) = [1] x1 + [1] 484.25/168.66 484.25/168.66 [b](x1) = [1] x1 + [0] 484.25/168.66 484.25/168.66 [c](x1) = [1] x1 + [0] 484.25/168.66 484.25/168.66 The order satisfies the following ordering constraints: 484.25/168.66 484.25/168.66 [a(b(x1))] = [1] x1 + [1] 484.25/168.66 > [1] x1 + [0] 484.25/168.66 = [x1] 484.25/168.66 484.25/168.66 [a(c(x1))] = [1] x1 + [1] 484.25/168.66 ? [1] x1 + [2] 484.25/168.66 = [c(b(b(c(a(a(x1))))))] 484.25/168.66 484.25/168.66 [b(c(x1))] = [1] x1 + [0] 484.25/168.66 >= [1] x1 + [0] 484.25/168.66 = [x1] 484.25/168.66 484.25/168.66 484.25/168.66 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 484.25/168.66 484.25/168.66 We are left with following problem, upon which TcT provides the 484.25/168.66 certificate MAYBE. 484.25/168.66 484.25/168.66 Strict Trs: 484.25/168.66 { a(c(x1)) -> c(b(b(c(a(a(x1)))))) 484.25/168.66 , b(c(x1)) -> x1 } 484.25/168.66 Weak Trs: { a(b(x1)) -> x1 } 484.25/168.66 Obligation: 484.25/168.66 derivational complexity 484.25/168.66 Answer: 484.25/168.66 MAYBE 484.25/168.66 484.25/168.66 The weightgap principle applies (using the following nonconstant 484.25/168.66 growth matrix-interpretation) 484.25/168.66 484.25/168.66 TcT has computed the following triangular matrix interpretation. 484.25/168.66 Note that the diagonal of the component-wise maxima of 484.25/168.66 interpretation-entries contains no more than 1 non-zero entries. 484.25/168.66 484.25/168.66 [a](x1) = [1] x1 + [1] 484.25/168.66 484.25/168.66 [b](x1) = [1] x1 + [1] 484.25/168.66 484.25/168.66 [c](x1) = [1] x1 + [0] 484.25/168.66 484.25/168.66 The order satisfies the following ordering constraints: 484.25/168.66 484.25/168.66 [a(b(x1))] = [1] x1 + [2] 484.25/168.66 > [1] x1 + [0] 484.25/168.66 = [x1] 484.25/168.66 484.25/168.66 [a(c(x1))] = [1] x1 + [1] 484.25/168.66 ? [1] x1 + [4] 484.25/168.66 = [c(b(b(c(a(a(x1))))))] 484.25/168.66 484.25/168.66 [b(c(x1))] = [1] x1 + [1] 484.25/168.66 > [1] x1 + [0] 484.25/168.66 = [x1] 484.25/168.66 484.25/168.66 484.25/168.66 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 484.25/168.66 484.25/168.66 We are left with following problem, upon which TcT provides the 484.25/168.66 certificate MAYBE. 484.25/168.66 484.25/168.66 Strict Trs: { a(c(x1)) -> c(b(b(c(a(a(x1)))))) } 484.25/168.66 Weak Trs: 484.25/168.66 { a(b(x1)) -> x1 484.25/168.66 , b(c(x1)) -> x1 } 484.25/168.66 Obligation: 484.25/168.66 derivational complexity 484.25/168.66 Answer: 484.25/168.66 MAYBE 484.25/168.66 484.25/168.66 None of the processors succeeded. 484.25/168.66 484.25/168.66 Details of failed attempt(s): 484.25/168.66 ----------------------------- 484.25/168.66 1) 'empty' failed due to the following reason: 484.25/168.66 484.25/168.66 Empty strict component of the problem is NOT empty. 484.25/168.66 484.25/168.66 2) 'Fastest' failed due to the following reason: 484.25/168.66 484.25/168.66 None of the processors succeeded. 484.25/168.66 484.25/168.66 Details of failed attempt(s): 484.25/168.66 ----------------------------- 484.25/168.66 1) 'bsearch-matrix' failed due to the following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 2) 'iteProgress' failed due to the following reason: 484.25/168.66 484.25/168.66 Fail 484.25/168.66 484.25/168.66 3) 'Fastest' failed due to the following reason: 484.25/168.66 484.25/168.66 None of the processors succeeded. 484.25/168.66 484.25/168.66 Details of failed attempt(s): 484.25/168.66 ----------------------------- 484.25/168.66 1) 'matrix interpretation of dimension 6' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 2) 'matrix interpretation of dimension 5' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 3) 'matrix interpretation of dimension 4' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 4) 'matrix interpretation of dimension 3' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 5) 'matrix interpretation of dimension 2' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 6) 'matrix interpretation of dimension 1' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 484.25/168.66 4) 'Fastest (timeout of 30 seconds)' failed due to the following 484.25/168.66 reason: 484.25/168.66 484.25/168.66 Computation stopped due to timeout after 30.0 seconds. 484.25/168.66 484.25/168.66 484.25/168.66 484.25/168.66 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 The input cannot be shown compatible 484.25/168.66 484.25/168.66 3) 'iteProgress (timeout of 297 seconds)' failed due to the 484.25/168.66 following reason: 484.25/168.66 484.25/168.66 Fail 484.25/168.66 484.25/168.66 4) 'Fastest (timeout of 60 seconds)' failed due to the following 484.25/168.66 reason: 484.25/168.66 484.25/168.66 Computation stopped due to timeout after 60.0 seconds. 484.25/168.66 484.25/168.66 484.25/168.66 Arrrr.. 484.53/168.72 EOF