MAYBE 527.13/183.37 MAYBE 527.13/183.37 527.13/183.37 We are left with following problem, upon which TcT provides the 527.13/183.37 certificate MAYBE. 527.13/183.37 527.13/183.37 Strict Trs: 527.13/183.37 { a(x1) -> x1 527.13/183.37 , a(b(x1)) -> c(b(c(b(c(a(x1)))))) 527.13/183.37 , c(c(x1)) -> a(x1) } 527.13/183.37 Obligation: 527.13/183.37 derivational complexity 527.13/183.37 Answer: 527.13/183.37 MAYBE 527.13/183.37 527.13/183.37 None of the processors succeeded. 527.13/183.37 527.13/183.37 Details of failed attempt(s): 527.13/183.37 ----------------------------- 527.13/183.37 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 527.13/183.37 the following reason: 527.13/183.37 527.13/183.37 The weightgap principle applies (using the following nonconstant 527.13/183.37 growth matrix-interpretation) 527.13/183.37 527.13/183.37 TcT has computed the following triangular matrix interpretation. 527.13/183.37 Note that the diagonal of the component-wise maxima of 527.13/183.37 interpretation-entries contains no more than 1 non-zero entries. 527.13/183.37 527.13/183.37 [a](x1) = [1] x1 + [1] 527.13/183.37 527.13/183.37 [b](x1) = [1] x1 + [0] 527.13/183.37 527.13/183.37 [c](x1) = [1] x1 + [0] 527.13/183.37 527.13/183.37 The order satisfies the following ordering constraints: 527.13/183.37 527.13/183.37 [a(x1)] = [1] x1 + [1] 527.13/183.37 > [1] x1 + [0] 527.13/183.37 = [x1] 527.13/183.37 527.13/183.37 [a(b(x1))] = [1] x1 + [1] 527.13/183.37 >= [1] x1 + [1] 527.13/183.37 = [c(b(c(b(c(a(x1))))))] 527.13/183.37 527.13/183.37 [c(c(x1))] = [1] x1 + [0] 527.13/183.37 ? [1] x1 + [1] 527.13/183.37 = [a(x1)] 527.13/183.37 527.13/183.37 527.13/183.37 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 527.13/183.37 527.13/183.37 We are left with following problem, upon which TcT provides the 527.13/183.37 certificate MAYBE. 527.13/183.37 527.13/183.37 Strict Trs: 527.13/183.37 { a(b(x1)) -> c(b(c(b(c(a(x1)))))) 527.13/183.37 , c(c(x1)) -> a(x1) } 527.13/183.37 Weak Trs: { a(x1) -> x1 } 527.13/183.37 Obligation: 527.13/183.37 derivational complexity 527.13/183.37 Answer: 527.13/183.37 MAYBE 527.13/183.37 527.13/183.37 The weightgap principle applies (using the following nonconstant 527.13/183.37 growth matrix-interpretation) 527.13/183.37 527.13/183.37 TcT has computed the following triangular matrix interpretation. 527.13/183.37 Note that the diagonal of the component-wise maxima of 527.13/183.37 interpretation-entries contains no more than 1 non-zero entries. 527.13/183.37 527.13/183.37 [a](x1) = [1] x1 + [1] 527.13/183.37 527.13/183.37 [b](x1) = [1] x1 + [0] 527.13/183.37 527.13/183.37 [c](x1) = [1] x1 + [1] 527.13/183.37 527.13/183.37 The order satisfies the following ordering constraints: 527.13/183.37 527.13/183.37 [a(x1)] = [1] x1 + [1] 527.13/183.37 > [1] x1 + [0] 527.13/183.37 = [x1] 527.13/183.37 527.13/183.37 [a(b(x1))] = [1] x1 + [1] 527.13/183.37 ? [1] x1 + [4] 527.13/183.37 = [c(b(c(b(c(a(x1))))))] 527.13/183.37 527.13/183.37 [c(c(x1))] = [1] x1 + [2] 527.13/183.37 > [1] x1 + [1] 527.13/183.37 = [a(x1)] 527.13/183.37 527.13/183.37 527.13/183.37 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 527.13/183.37 527.13/183.37 We are left with following problem, upon which TcT provides the 527.13/183.37 certificate MAYBE. 527.13/183.37 527.13/183.37 Strict Trs: { a(b(x1)) -> c(b(c(b(c(a(x1)))))) } 527.13/183.37 Weak Trs: 527.13/183.37 { a(x1) -> x1 527.13/183.37 , c(c(x1)) -> a(x1) } 527.13/183.37 Obligation: 527.13/183.37 derivational complexity 527.13/183.37 Answer: 527.13/183.37 MAYBE 527.13/183.37 527.13/183.37 None of the processors succeeded. 527.13/183.37 527.13/183.37 Details of failed attempt(s): 527.13/183.37 ----------------------------- 527.13/183.37 1) 'empty' failed due to the following reason: 527.13/183.37 527.13/183.37 Empty strict component of the problem is NOT empty. 527.13/183.37 527.13/183.37 2) 'Fastest' failed due to the following reason: 527.13/183.37 527.13/183.37 None of the processors succeeded. 527.13/183.37 527.13/183.37 Details of failed attempt(s): 527.13/183.37 ----------------------------- 527.13/183.37 1) 'bsearch-matrix' failed due to the following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 2) 'iteProgress' failed due to the following reason: 527.13/183.37 527.13/183.37 Fail 527.13/183.37 527.13/183.37 3) 'Fastest' failed due to the following reason: 527.13/183.37 527.13/183.37 None of the processors succeeded. 527.13/183.37 527.13/183.37 Details of failed attempt(s): 527.13/183.37 ----------------------------- 527.13/183.37 1) 'matrix interpretation of dimension 6' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 2) 'matrix interpretation of dimension 5' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 3) 'matrix interpretation of dimension 4' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 4) 'matrix interpretation of dimension 3' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 5) 'matrix interpretation of dimension 2' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 6) 'matrix interpretation of dimension 1' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 527.13/183.37 4) 'Fastest (timeout of 30 seconds)' failed due to the following 527.13/183.37 reason: 527.13/183.37 527.13/183.37 Computation stopped due to timeout after 30.0 seconds. 527.13/183.37 527.13/183.37 527.13/183.37 527.13/183.37 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 The input cannot be shown compatible 527.13/183.37 527.13/183.37 3) 'iteProgress (timeout of 297 seconds)' failed due to the 527.13/183.37 following reason: 527.13/183.37 527.13/183.37 Fail 527.13/183.37 527.13/183.37 4) 'Fastest (timeout of 60 seconds)' failed due to the following 527.13/183.37 reason: 527.13/183.37 527.13/183.37 Computation stopped due to timeout after 60.0 seconds. 527.13/183.37 527.13/183.37 527.13/183.37 Arrrr.. 527.45/183.44 EOF