MAYBE 200.46/60.04 MAYBE 200.46/60.04 200.46/60.04 We are left with following problem, upon which TcT provides the 200.46/60.04 certificate MAYBE. 200.46/60.04 200.46/60.04 Strict Trs: 200.46/60.04 { a(x1) -> x1 200.46/60.04 , a(b(x1)) -> x1 200.46/60.04 , b(b(x1)) -> c(x1) 200.46/60.04 , c(a(x1)) -> a(a(b(c(x1)))) } 200.46/60.04 Obligation: 200.46/60.04 derivational complexity 200.46/60.04 Answer: 200.46/60.04 MAYBE 200.46/60.04 200.46/60.04 None of the processors succeeded. 200.46/60.04 200.46/60.04 Details of failed attempt(s): 200.46/60.04 ----------------------------- 200.46/60.04 1) 'Fastest (timeout of 60 seconds)' failed due to the following 200.46/60.04 reason: 200.46/60.04 200.46/60.04 Computation stopped due to timeout after 60.0 seconds. 200.46/60.04 200.46/60.04 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 200.46/60.04 the following reason: 200.46/60.04 200.46/60.04 The weightgap principle applies (using the following nonconstant 200.46/60.04 growth matrix-interpretation) 200.46/60.04 200.46/60.04 TcT has computed the following triangular matrix interpretation. 200.46/60.04 Note that the diagonal of the component-wise maxima of 200.46/60.04 interpretation-entries contains no more than 1 non-zero entries. 200.46/60.04 200.46/60.04 [a](x1) = [1] x1 + [0] 200.46/60.04 200.46/60.04 [b](x1) = [1] x1 + [1] 200.46/60.04 200.46/60.04 [c](x1) = [1] x1 + [0] 200.46/60.04 200.46/60.04 The order satisfies the following ordering constraints: 200.46/60.04 200.46/60.04 [a(x1)] = [1] x1 + [0] 200.46/60.04 >= [1] x1 + [0] 200.46/60.04 = [x1] 200.46/60.04 200.46/60.04 [a(b(x1))] = [1] x1 + [1] 200.46/60.04 > [1] x1 + [0] 200.46/60.04 = [x1] 200.46/60.04 200.46/60.04 [b(b(x1))] = [1] x1 + [2] 200.46/60.04 > [1] x1 + [0] 200.46/60.04 = [c(x1)] 200.46/60.04 200.46/60.04 [c(a(x1))] = [1] x1 + [0] 200.46/60.04 ? [1] x1 + [1] 200.46/60.04 = [a(a(b(c(x1))))] 200.46/60.04 200.46/60.04 200.46/60.04 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 200.46/60.04 200.46/60.04 We are left with following problem, upon which TcT provides the 200.46/60.04 certificate MAYBE. 200.46/60.04 200.46/60.04 Strict Trs: 200.46/60.04 { a(x1) -> x1 200.46/60.04 , c(a(x1)) -> a(a(b(c(x1)))) } 200.46/60.04 Weak Trs: 200.46/60.04 { a(b(x1)) -> x1 200.46/60.04 , b(b(x1)) -> c(x1) } 200.46/60.04 Obligation: 200.46/60.04 derivational complexity 200.46/60.04 Answer: 200.46/60.04 MAYBE 200.46/60.04 200.46/60.04 The weightgap principle applies (using the following nonconstant 200.46/60.04 growth matrix-interpretation) 200.46/60.04 200.46/60.04 TcT has computed the following triangular matrix interpretation. 200.46/60.04 Note that the diagonal of the component-wise maxima of 200.46/60.04 interpretation-entries contains no more than 1 non-zero entries. 200.46/60.04 200.46/60.04 [a](x1) = [1] x1 + [1] 200.46/60.04 200.46/60.04 [b](x1) = [1] x1 + [2] 200.46/60.04 200.46/60.04 [c](x1) = [1] x1 + [0] 200.46/60.04 200.46/60.04 The order satisfies the following ordering constraints: 200.46/60.04 200.46/60.04 [a(x1)] = [1] x1 + [1] 200.46/60.04 > [1] x1 + [0] 200.46/60.04 = [x1] 200.46/60.04 200.46/60.04 [a(b(x1))] = [1] x1 + [3] 200.46/60.04 > [1] x1 + [0] 200.46/60.04 = [x1] 200.46/60.04 200.46/60.04 [b(b(x1))] = [1] x1 + [4] 200.46/60.04 > [1] x1 + [0] 200.46/60.04 = [c(x1)] 200.46/60.04 200.46/60.04 [c(a(x1))] = [1] x1 + [1] 200.46/60.04 ? [1] x1 + [4] 200.46/60.04 = [a(a(b(c(x1))))] 200.46/60.04 200.46/60.04 200.46/60.04 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 200.46/60.04 200.46/60.04 We are left with following problem, upon which TcT provides the 200.46/60.04 certificate MAYBE. 200.46/60.04 200.46/60.04 Strict Trs: { c(a(x1)) -> a(a(b(c(x1)))) } 200.46/60.04 Weak Trs: 200.46/60.04 { a(x1) -> x1 200.46/60.04 , a(b(x1)) -> x1 200.46/60.04 , b(b(x1)) -> c(x1) } 200.46/60.04 Obligation: 200.46/60.04 derivational complexity 200.46/60.04 Answer: 200.46/60.04 MAYBE 200.46/60.04 200.46/60.04 None of the processors succeeded. 200.46/60.04 200.46/60.04 Details of failed attempt(s): 200.46/60.04 ----------------------------- 200.46/60.04 1) 'empty' failed due to the following reason: 200.46/60.04 200.46/60.04 Empty strict component of the problem is NOT empty. 200.46/60.04 200.46/60.04 2) 'Fastest' failed due to the following reason: 200.46/60.04 200.46/60.04 None of the processors succeeded. 200.46/60.04 200.46/60.04 Details of failed attempt(s): 200.46/60.04 ----------------------------- 200.46/60.04 1) 'Fastest (timeout of 30 seconds)' failed due to the following 200.46/60.04 reason: 200.46/60.04 200.46/60.04 Computation stopped due to timeout after 30.0 seconds. 200.46/60.04 200.46/60.04 2) 'Fastest' failed due to the following reason: 200.46/60.04 200.46/60.04 None of the processors succeeded. 200.46/60.04 200.46/60.04 Details of failed attempt(s): 200.46/60.04 ----------------------------- 200.46/60.04 1) 'matrix interpretation of dimension 6' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 2) 'matrix interpretation of dimension 5' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 3) 'matrix interpretation of dimension 4' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 4) 'matrix interpretation of dimension 3' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 5) 'matrix interpretation of dimension 2' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 6) 'matrix interpretation of dimension 1' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 200.46/60.04 3) 'iteProgress' failed due to the following reason: 200.46/60.04 200.46/60.04 Fail 200.46/60.04 200.46/60.04 4) 'bsearch-matrix' failed due to the following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 200.46/60.04 200.46/60.04 3) 'iteProgress (timeout of 297 seconds)' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 Fail 200.46/60.04 200.46/60.04 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 200.46/60.04 following reason: 200.46/60.04 200.46/60.04 The input cannot be shown compatible 200.46/60.04 200.46/60.04 200.46/60.04 Arrrr.. 200.46/60.04 EOF