MAYBE 261.68/93.12 MAYBE 261.68/93.12 261.68/93.12 We are left with following problem, upon which TcT provides the 261.68/93.12 certificate MAYBE. 261.68/93.12 261.68/93.12 Strict Trs: 261.68/93.12 { a(x1) -> x1 261.68/93.12 , a(a(b(x1))) -> b(c(a(a(a(x1))))) 261.68/93.12 , c(a(x1)) -> b(x1) } 261.68/93.12 Obligation: 261.68/93.12 derivational complexity 261.68/93.12 Answer: 261.68/93.12 MAYBE 261.68/93.12 261.68/93.12 None of the processors succeeded. 261.68/93.12 261.68/93.12 Details of failed attempt(s): 261.68/93.12 ----------------------------- 261.68/93.12 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 261.68/93.12 the following reason: 261.68/93.12 261.68/93.12 The weightgap principle applies (using the following nonconstant 261.68/93.12 growth matrix-interpretation) 261.68/93.12 261.68/93.12 TcT has computed the following triangular matrix interpretation. 261.68/93.12 Note that the diagonal of the component-wise maxima of 261.68/93.12 interpretation-entries contains no more than 1 non-zero entries. 261.68/93.12 261.68/93.12 [a](x1) = [1] x1 + [0] 261.68/93.12 261.68/93.12 [b](x1) = [1] x1 + [0] 261.68/93.12 261.68/93.12 [c](x1) = [1] x1 + [1] 261.68/93.12 261.68/93.12 The order satisfies the following ordering constraints: 261.68/93.12 261.68/93.12 [a(x1)] = [1] x1 + [0] 261.68/93.12 >= [1] x1 + [0] 261.68/93.12 = [x1] 261.68/93.12 261.68/93.12 [a(a(b(x1)))] = [1] x1 + [0] 261.68/93.12 ? [1] x1 + [1] 261.68/93.12 = [b(c(a(a(a(x1)))))] 261.68/93.12 261.68/93.12 [c(a(x1))] = [1] x1 + [1] 261.68/93.12 > [1] x1 + [0] 261.68/93.12 = [b(x1)] 261.68/93.12 261.68/93.12 261.68/93.12 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 261.68/93.12 261.68/93.12 We are left with following problem, upon which TcT provides the 261.68/93.12 certificate MAYBE. 261.68/93.12 261.68/93.12 Strict Trs: 261.68/93.12 { a(x1) -> x1 261.68/93.12 , a(a(b(x1))) -> b(c(a(a(a(x1))))) } 261.68/93.12 Weak Trs: { c(a(x1)) -> b(x1) } 261.68/93.12 Obligation: 261.68/93.12 derivational complexity 261.68/93.12 Answer: 261.68/93.12 MAYBE 261.68/93.12 261.68/93.12 The weightgap principle applies (using the following nonconstant 261.68/93.12 growth matrix-interpretation) 261.68/93.12 261.68/93.12 TcT has computed the following triangular matrix interpretation. 261.68/93.12 Note that the diagonal of the component-wise maxima of 261.68/93.12 interpretation-entries contains no more than 1 non-zero entries. 261.68/93.12 261.68/93.12 [a](x1) = [1] x1 + [2] 261.68/93.12 261.68/93.12 [b](x1) = [1] x1 + [0] 261.68/93.12 261.68/93.12 [c](x1) = [1] x1 + [0] 261.68/93.12 261.68/93.12 The order satisfies the following ordering constraints: 261.68/93.12 261.68/93.12 [a(x1)] = [1] x1 + [2] 261.68/93.12 > [1] x1 + [0] 261.68/93.12 = [x1] 261.68/93.12 261.68/93.12 [a(a(b(x1)))] = [1] x1 + [4] 261.68/93.12 ? [1] x1 + [6] 261.68/93.12 = [b(c(a(a(a(x1)))))] 261.68/93.12 261.68/93.12 [c(a(x1))] = [1] x1 + [2] 261.68/93.12 > [1] x1 + [0] 261.68/93.12 = [b(x1)] 261.68/93.12 261.68/93.12 261.68/93.12 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 261.68/93.12 261.68/93.12 We are left with following problem, upon which TcT provides the 261.68/93.12 certificate MAYBE. 261.68/93.12 261.68/93.12 Strict Trs: { a(a(b(x1))) -> b(c(a(a(a(x1))))) } 261.68/93.12 Weak Trs: 261.68/93.12 { a(x1) -> x1 261.68/93.12 , c(a(x1)) -> b(x1) } 261.68/93.12 Obligation: 261.68/93.12 derivational complexity 261.68/93.12 Answer: 261.68/93.12 MAYBE 261.68/93.12 261.68/93.12 None of the processors succeeded. 261.68/93.12 261.68/93.12 Details of failed attempt(s): 261.68/93.12 ----------------------------- 261.68/93.12 1) 'empty' failed due to the following reason: 261.68/93.12 261.68/93.12 Empty strict component of the problem is NOT empty. 261.68/93.12 261.68/93.12 2) 'Fastest' failed due to the following reason: 261.68/93.12 261.68/93.12 None of the processors succeeded. 261.68/93.12 261.68/93.12 Details of failed attempt(s): 261.68/93.12 ----------------------------- 261.68/93.12 1) 'Fastest' failed due to the following reason: 261.68/93.12 261.68/93.12 None of the processors succeeded. 261.68/93.12 261.68/93.12 Details of failed attempt(s): 261.68/93.12 ----------------------------- 261.68/93.12 1) 'matrix interpretation of dimension 6' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 2) 'matrix interpretation of dimension 5' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 3) 'matrix interpretation of dimension 4' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 4) 'matrix interpretation of dimension 3' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 5) 'matrix interpretation of dimension 2' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 6) 'matrix interpretation of dimension 1' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 261.68/93.12 2) 'iteProgress' failed due to the following reason: 261.68/93.12 261.68/93.12 Fail 261.68/93.12 261.68/93.12 3) 'Fastest (timeout of 30 seconds)' failed due to the following 261.68/93.12 reason: 261.68/93.12 261.68/93.12 Computation stopped due to timeout after 30.0 seconds. 261.68/93.12 261.68/93.12 4) 'bsearch-matrix' failed due to the following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 261.68/93.12 261.68/93.12 2) 'Fastest (timeout of 60 seconds)' failed due to the following 261.68/93.12 reason: 261.68/93.12 261.68/93.12 Computation stopped due to timeout after 60.0 seconds. 261.68/93.12 261.68/93.12 3) 'iteProgress (timeout of 297 seconds)' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 Fail 261.68/93.12 261.68/93.12 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 261.68/93.12 following reason: 261.68/93.12 261.68/93.12 The input cannot be shown compatible 261.68/93.12 261.68/93.12 261.68/93.12 Arrrr.. 261.68/93.17 EOF