MAYBE 415.02/214.09 MAYBE 415.02/214.09 415.02/214.09 We are left with following problem, upon which TcT provides the 415.02/214.09 certificate MAYBE. 415.02/214.09 415.02/214.09 Strict Trs: 415.02/214.09 { a(x1) -> x1 415.02/214.09 , a(a(b(b(x1)))) -> b(c(a(c(x1)))) 415.02/214.09 , c(x1) -> b(a(x1)) } 415.02/214.09 Obligation: 415.02/214.09 derivational complexity 415.02/214.09 Answer: 415.02/214.09 MAYBE 415.02/214.09 415.02/214.09 None of the processors succeeded. 415.02/214.09 415.02/214.09 Details of failed attempt(s): 415.02/214.09 ----------------------------- 415.02/214.09 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 415.02/214.09 the following reason: 415.02/214.09 415.02/214.09 The weightgap principle applies (using the following nonconstant 415.02/214.09 growth matrix-interpretation) 415.02/214.09 415.02/214.09 TcT has computed the following triangular matrix interpretation. 415.02/214.09 Note that the diagonal of the component-wise maxima of 415.02/214.09 interpretation-entries contains no more than 1 non-zero entries. 415.02/214.09 415.02/214.09 [a](x1) = [1] x1 + [0] 415.02/214.09 415.02/214.09 [b](x1) = [1] x1 + [0] 415.02/214.09 415.02/214.09 [c](x1) = [1] x1 + [2] 415.02/214.09 415.02/214.09 The order satisfies the following ordering constraints: 415.02/214.09 415.02/214.09 [a(x1)] = [1] x1 + [0] 415.02/214.09 >= [1] x1 + [0] 415.02/214.09 = [x1] 415.02/214.09 415.02/214.09 [a(a(b(b(x1))))] = [1] x1 + [0] 415.02/214.09 ? [1] x1 + [4] 415.02/214.09 = [b(c(a(c(x1))))] 415.02/214.09 415.02/214.09 [c(x1)] = [1] x1 + [2] 415.02/214.09 > [1] x1 + [0] 415.02/214.09 = [b(a(x1))] 415.02/214.09 415.02/214.09 415.02/214.09 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 415.02/214.09 415.02/214.09 We are left with following problem, upon which TcT provides the 415.02/214.09 certificate MAYBE. 415.02/214.09 415.02/214.09 Strict Trs: 415.02/214.09 { a(x1) -> x1 415.02/214.09 , a(a(b(b(x1)))) -> b(c(a(c(x1)))) } 415.02/214.09 Weak Trs: { c(x1) -> b(a(x1)) } 415.02/214.09 Obligation: 415.02/214.09 derivational complexity 415.02/214.09 Answer: 415.02/214.09 MAYBE 415.02/214.09 415.02/214.09 The weightgap principle applies (using the following nonconstant 415.02/214.09 growth matrix-interpretation) 415.02/214.09 415.02/214.09 TcT has computed the following triangular matrix interpretation. 415.02/214.09 Note that the diagonal of the component-wise maxima of 415.02/214.09 interpretation-entries contains no more than 1 non-zero entries. 415.02/214.09 415.02/214.09 [a](x1) = [1] x1 + [2] 415.02/214.09 415.02/214.09 [b](x1) = [1] x1 + [0] 415.02/214.09 415.02/214.09 [c](x1) = [1] x1 + [2] 415.02/214.09 415.02/214.09 The order satisfies the following ordering constraints: 415.02/214.09 415.02/214.09 [a(x1)] = [1] x1 + [2] 415.02/214.09 > [1] x1 + [0] 415.02/214.09 = [x1] 415.02/214.09 415.02/214.09 [a(a(b(b(x1))))] = [1] x1 + [4] 415.02/214.09 ? [1] x1 + [6] 415.02/214.09 = [b(c(a(c(x1))))] 415.02/214.09 415.02/214.09 [c(x1)] = [1] x1 + [2] 415.02/214.09 >= [1] x1 + [2] 415.02/214.09 = [b(a(x1))] 415.02/214.09 415.02/214.09 415.02/214.09 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 415.02/214.09 415.02/214.09 We are left with following problem, upon which TcT provides the 415.02/214.09 certificate MAYBE. 415.02/214.09 415.02/214.09 Strict Trs: { a(a(b(b(x1)))) -> b(c(a(c(x1)))) } 415.02/214.09 Weak Trs: 415.02/214.09 { a(x1) -> x1 415.02/214.09 , c(x1) -> b(a(x1)) } 415.02/214.09 Obligation: 415.02/214.09 derivational complexity 415.02/214.09 Answer: 415.02/214.09 MAYBE 415.02/214.09 415.02/214.09 None of the processors succeeded. 415.02/214.09 415.02/214.09 Details of failed attempt(s): 415.02/214.09 ----------------------------- 415.02/214.09 1) 'empty' failed due to the following reason: 415.02/214.09 415.02/214.09 Empty strict component of the problem is NOT empty. 415.02/214.09 415.02/214.09 2) 'Fastest' failed due to the following reason: 415.02/214.09 415.02/214.09 None of the processors succeeded. 415.02/214.09 415.02/214.09 Details of failed attempt(s): 415.02/214.09 ----------------------------- 415.02/214.09 1) 'Fastest' failed due to the following reason: 415.02/214.09 415.02/214.09 None of the processors succeeded. 415.02/214.09 415.02/214.09 Details of failed attempt(s): 415.02/214.09 ----------------------------- 415.02/214.09 1) 'matrix interpretation of dimension 6' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 2) 'matrix interpretation of dimension 5' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 3) 'matrix interpretation of dimension 4' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 4) 'matrix interpretation of dimension 3' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 5) 'matrix interpretation of dimension 2' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 6) 'matrix interpretation of dimension 1' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 415.02/214.09 2) 'Fastest (timeout of 30 seconds)' failed due to the following 415.02/214.09 reason: 415.02/214.09 415.02/214.09 Computation stopped due to timeout after 30.0 seconds. 415.02/214.09 415.02/214.09 3) 'bsearch-matrix' failed due to the following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 4) 'iteProgress' failed due to the following reason: 415.02/214.09 415.02/214.09 Fail 415.02/214.09 415.02/214.09 415.02/214.09 415.02/214.09 2) 'Fastest (timeout of 60 seconds)' failed due to the following 415.02/214.09 reason: 415.02/214.09 415.02/214.09 Computation stopped due to timeout after 60.0 seconds. 415.02/214.09 415.02/214.09 3) 'iteProgress (timeout of 297 seconds)' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 Fail 415.02/214.09 415.02/214.09 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 415.02/214.09 following reason: 415.02/214.09 415.02/214.09 The input cannot be shown compatible 415.02/214.09 415.02/214.09 415.02/214.09 Arrrr.. 415.13/214.11 EOF