MAYBE 539.12/188.61 MAYBE 539.12/188.61 539.12/188.61 We are left with following problem, upon which TcT provides the 539.12/188.61 certificate MAYBE. 539.12/188.61 539.12/188.61 Strict Trs: 539.12/188.61 { a(x1) -> b(x1) 539.12/188.61 , a(c(x1)) -> c(c(c(a(a(b(x1)))))) 539.12/188.61 , b(b(x1)) -> x1 } 539.12/188.61 Obligation: 539.12/188.61 derivational complexity 539.12/188.61 Answer: 539.12/188.61 MAYBE 539.12/188.61 539.12/188.61 None of the processors succeeded. 539.12/188.61 539.12/188.61 Details of failed attempt(s): 539.12/188.61 ----------------------------- 539.12/188.61 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 539.12/188.61 the following reason: 539.12/188.61 539.12/188.61 The weightgap principle applies (using the following nonconstant 539.12/188.61 growth matrix-interpretation) 539.12/188.61 539.12/188.61 TcT has computed the following triangular matrix interpretation. 539.12/188.61 Note that the diagonal of the component-wise maxima of 539.12/188.61 interpretation-entries contains no more than 1 non-zero entries. 539.12/188.61 539.12/188.61 [a](x1) = [1] x1 + [0] 539.12/188.61 539.12/188.61 [b](x1) = [1] x1 + [1] 539.12/188.61 539.12/188.61 [c](x1) = [1] x1 + [0] 539.12/188.61 539.12/188.61 The order satisfies the following ordering constraints: 539.12/188.61 539.12/188.61 [a(x1)] = [1] x1 + [0] 539.12/188.61 ? [1] x1 + [1] 539.12/188.61 = [b(x1)] 539.12/188.61 539.12/188.61 [a(c(x1))] = [1] x1 + [0] 539.12/188.61 ? [1] x1 + [1] 539.12/188.61 = [c(c(c(a(a(b(x1))))))] 539.12/188.61 539.12/188.61 [b(b(x1))] = [1] x1 + [2] 539.12/188.61 > [1] x1 + [0] 539.12/188.61 = [x1] 539.12/188.61 539.12/188.61 539.12/188.61 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 539.12/188.61 539.12/188.61 We are left with following problem, upon which TcT provides the 539.12/188.61 certificate MAYBE. 539.12/188.61 539.12/188.61 Strict Trs: 539.12/188.61 { a(x1) -> b(x1) 539.12/188.61 , a(c(x1)) -> c(c(c(a(a(b(x1)))))) } 539.12/188.61 Weak Trs: { b(b(x1)) -> x1 } 539.12/188.61 Obligation: 539.12/188.61 derivational complexity 539.12/188.61 Answer: 539.12/188.61 MAYBE 539.12/188.61 539.12/188.61 The weightgap principle applies (using the following nonconstant 539.12/188.61 growth matrix-interpretation) 539.12/188.61 539.12/188.61 TcT has computed the following triangular matrix interpretation. 539.12/188.61 Note that the diagonal of the component-wise maxima of 539.12/188.61 interpretation-entries contains no more than 1 non-zero entries. 539.12/188.61 539.12/188.61 [a](x1) = [1] x1 + [1] 539.12/188.61 539.12/188.61 [b](x1) = [1] x1 + [0] 539.12/188.61 539.12/188.61 [c](x1) = [1] x1 + [0] 539.12/188.61 539.12/188.61 The order satisfies the following ordering constraints: 539.12/188.61 539.12/188.61 [a(x1)] = [1] x1 + [1] 539.12/188.61 > [1] x1 + [0] 539.12/188.61 = [b(x1)] 539.12/188.61 539.12/188.61 [a(c(x1))] = [1] x1 + [1] 539.12/188.61 ? [1] x1 + [2] 539.12/188.61 = [c(c(c(a(a(b(x1))))))] 539.12/188.61 539.12/188.61 [b(b(x1))] = [1] x1 + [0] 539.12/188.61 >= [1] x1 + [0] 539.12/188.61 = [x1] 539.12/188.61 539.12/188.61 539.12/188.61 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 539.12/188.61 539.12/188.61 We are left with following problem, upon which TcT provides the 539.12/188.61 certificate MAYBE. 539.12/188.61 539.12/188.61 Strict Trs: { a(c(x1)) -> c(c(c(a(a(b(x1)))))) } 539.12/188.61 Weak Trs: 539.12/188.61 { a(x1) -> b(x1) 539.12/188.61 , b(b(x1)) -> x1 } 539.12/188.61 Obligation: 539.12/188.61 derivational complexity 539.12/188.61 Answer: 539.12/188.61 MAYBE 539.12/188.61 539.12/188.61 None of the processors succeeded. 539.12/188.61 539.12/188.61 Details of failed attempt(s): 539.12/188.61 ----------------------------- 539.12/188.61 1) 'empty' failed due to the following reason: 539.12/188.61 539.12/188.61 Empty strict component of the problem is NOT empty. 539.12/188.61 539.12/188.61 2) 'Fastest' failed due to the following reason: 539.12/188.61 539.12/188.61 None of the processors succeeded. 539.12/188.61 539.12/188.61 Details of failed attempt(s): 539.12/188.61 ----------------------------- 539.12/188.61 1) 'bsearch-matrix' failed due to the following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 2) 'iteProgress' failed due to the following reason: 539.12/188.61 539.12/188.61 Fail 539.12/188.61 539.12/188.61 3) 'Fastest' failed due to the following reason: 539.12/188.61 539.12/188.61 None of the processors succeeded. 539.12/188.61 539.12/188.61 Details of failed attempt(s): 539.12/188.61 ----------------------------- 539.12/188.61 1) 'matrix interpretation of dimension 6' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 2) 'matrix interpretation of dimension 5' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 3) 'matrix interpretation of dimension 4' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 4) 'matrix interpretation of dimension 3' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 5) 'matrix interpretation of dimension 2' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 6) 'matrix interpretation of dimension 1' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 539.12/188.61 4) 'Fastest (timeout of 30 seconds)' failed due to the following 539.12/188.61 reason: 539.12/188.61 539.12/188.61 Computation stopped due to timeout after 30.0 seconds. 539.12/188.61 539.12/188.61 539.12/188.61 539.12/188.61 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 The input cannot be shown compatible 539.12/188.61 539.12/188.61 3) 'iteProgress (timeout of 297 seconds)' failed due to the 539.12/188.61 following reason: 539.12/188.61 539.12/188.61 Fail 539.12/188.61 539.12/188.61 4) 'Fastest (timeout of 60 seconds)' failed due to the following 539.12/188.61 reason: 539.12/188.61 539.12/188.61 Computation stopped due to timeout after 60.0 seconds. 539.12/188.61 539.12/188.61 539.12/188.61 Arrrr.. 539.12/188.67 EOF