MAYBE 198.72/60.05 MAYBE 198.72/60.05 198.72/60.05 We are left with following problem, upon which TcT provides the 198.72/60.05 certificate MAYBE. 198.72/60.05 198.72/60.05 Strict Trs: 198.72/60.05 { a(x1) -> x1 198.72/60.05 , a(b(x1)) -> b(c(b(a(x1)))) 198.72/60.05 , b(x1) -> a(x1) 198.72/60.05 , c(c(x1)) -> x1 } 198.72/60.05 Obligation: 198.72/60.05 derivational complexity 198.72/60.05 Answer: 198.72/60.05 MAYBE 198.72/60.05 198.72/60.05 None of the processors succeeded. 198.72/60.05 198.72/60.05 Details of failed attempt(s): 198.72/60.05 ----------------------------- 198.72/60.05 1) 'Fastest (timeout of 60 seconds)' failed due to the following 198.72/60.05 reason: 198.72/60.05 198.72/60.05 Computation stopped due to timeout after 60.0 seconds. 198.72/60.05 198.72/60.05 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 198.72/60.05 the following reason: 198.72/60.05 198.72/60.05 The weightgap principle applies (using the following nonconstant 198.72/60.05 growth matrix-interpretation) 198.72/60.05 198.72/60.05 TcT has computed the following triangular matrix interpretation. 198.72/60.05 Note that the diagonal of the component-wise maxima of 198.72/60.05 interpretation-entries contains no more than 1 non-zero entries. 198.72/60.05 198.72/60.05 [a](x1) = [1] x1 + [0] 198.72/60.05 198.72/60.05 [b](x1) = [1] x1 + [0] 198.72/60.05 198.72/60.05 [c](x1) = [1] x1 + [1] 198.72/60.05 198.72/60.05 The order satisfies the following ordering constraints: 198.72/60.05 198.72/60.05 [a(x1)] = [1] x1 + [0] 198.72/60.05 >= [1] x1 + [0] 198.72/60.05 = [x1] 198.72/60.05 198.72/60.05 [a(b(x1))] = [1] x1 + [0] 198.72/60.05 ? [1] x1 + [1] 198.72/60.05 = [b(c(b(a(x1))))] 198.72/60.05 198.72/60.05 [b(x1)] = [1] x1 + [0] 198.72/60.05 >= [1] x1 + [0] 198.72/60.05 = [a(x1)] 198.72/60.05 198.72/60.05 [c(c(x1))] = [1] x1 + [2] 198.72/60.05 > [1] x1 + [0] 198.72/60.05 = [x1] 198.72/60.05 198.72/60.05 198.72/60.05 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 198.72/60.05 198.72/60.05 We are left with following problem, upon which TcT provides the 198.72/60.05 certificate MAYBE. 198.72/60.05 198.72/60.05 Strict Trs: 198.72/60.05 { a(x1) -> x1 198.72/60.05 , a(b(x1)) -> b(c(b(a(x1)))) 198.72/60.05 , b(x1) -> a(x1) } 198.72/60.05 Weak Trs: { c(c(x1)) -> x1 } 198.72/60.05 Obligation: 198.72/60.05 derivational complexity 198.72/60.05 Answer: 198.72/60.05 MAYBE 198.72/60.05 198.72/60.05 The weightgap principle applies (using the following nonconstant 198.72/60.05 growth matrix-interpretation) 198.72/60.05 198.72/60.05 TcT has computed the following triangular matrix interpretation. 198.72/60.05 Note that the diagonal of the component-wise maxima of 198.72/60.05 interpretation-entries contains no more than 1 non-zero entries. 198.72/60.05 198.72/60.05 [a](x1) = [1] x1 + [1] 198.72/60.05 198.72/60.05 [b](x1) = [1] x1 + [0] 198.72/60.05 198.72/60.05 [c](x1) = [1] x1 + [0] 198.72/60.05 198.72/60.05 The order satisfies the following ordering constraints: 198.72/60.05 198.72/60.05 [a(x1)] = [1] x1 + [1] 198.72/60.05 > [1] x1 + [0] 198.72/60.05 = [x1] 198.72/60.05 198.72/60.05 [a(b(x1))] = [1] x1 + [1] 198.72/60.05 >= [1] x1 + [1] 198.72/60.05 = [b(c(b(a(x1))))] 198.72/60.05 198.72/60.05 [b(x1)] = [1] x1 + [0] 198.72/60.05 ? [1] x1 + [1] 198.72/60.05 = [a(x1)] 198.72/60.05 198.72/60.05 [c(c(x1))] = [1] x1 + [0] 198.72/60.05 >= [1] x1 + [0] 198.72/60.05 = [x1] 198.72/60.05 198.72/60.05 198.72/60.05 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 198.72/60.05 198.72/60.05 We are left with following problem, upon which TcT provides the 198.72/60.05 certificate MAYBE. 198.72/60.05 198.72/60.05 Strict Trs: 198.72/60.05 { a(b(x1)) -> b(c(b(a(x1)))) 198.72/60.05 , b(x1) -> a(x1) } 198.72/60.05 Weak Trs: 198.72/60.05 { a(x1) -> x1 198.72/60.05 , c(c(x1)) -> x1 } 198.72/60.05 Obligation: 198.72/60.05 derivational complexity 198.72/60.05 Answer: 198.72/60.05 MAYBE 198.72/60.05 198.72/60.05 The weightgap principle applies (using the following nonconstant 198.72/60.05 growth matrix-interpretation) 198.72/60.05 198.72/60.05 TcT has computed the following triangular matrix interpretation. 198.72/60.05 Note that the diagonal of the component-wise maxima of 198.72/60.05 interpretation-entries contains no more than 1 non-zero entries. 198.72/60.05 198.72/60.05 [a](x1) = [1] x1 + [0] 198.72/60.05 198.72/60.05 [b](x1) = [1] x1 + [1] 198.72/60.05 198.72/60.05 [c](x1) = [1] x1 + [2] 198.72/60.05 198.72/60.05 The order satisfies the following ordering constraints: 198.72/60.05 198.72/60.05 [a(x1)] = [1] x1 + [0] 198.72/60.05 >= [1] x1 + [0] 198.72/60.05 = [x1] 198.72/60.05 198.72/60.05 [a(b(x1))] = [1] x1 + [1] 198.72/60.05 ? [1] x1 + [4] 198.72/60.05 = [b(c(b(a(x1))))] 198.72/60.05 198.72/60.05 [b(x1)] = [1] x1 + [1] 198.72/60.05 > [1] x1 + [0] 198.72/60.05 = [a(x1)] 198.72/60.05 198.72/60.05 [c(c(x1))] = [1] x1 + [4] 198.72/60.05 > [1] x1 + [0] 198.72/60.05 = [x1] 198.72/60.05 198.72/60.05 198.72/60.05 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 198.72/60.05 198.72/60.05 We are left with following problem, upon which TcT provides the 198.72/60.05 certificate MAYBE. 198.72/60.05 198.72/60.05 Strict Trs: { a(b(x1)) -> b(c(b(a(x1)))) } 198.72/60.05 Weak Trs: 198.72/60.05 { a(x1) -> x1 198.72/60.05 , b(x1) -> a(x1) 198.72/60.05 , c(c(x1)) -> x1 } 198.72/60.05 Obligation: 198.72/60.05 derivational complexity 198.72/60.05 Answer: 198.72/60.05 MAYBE 198.72/60.05 198.72/60.05 None of the processors succeeded. 198.72/60.05 198.72/60.05 Details of failed attempt(s): 198.72/60.05 ----------------------------- 198.72/60.05 1) 'empty' failed due to the following reason: 198.72/60.05 198.72/60.05 Empty strict component of the problem is NOT empty. 198.72/60.05 198.72/60.05 2) 'Fastest' failed due to the following reason: 198.72/60.05 198.72/60.05 None of the processors succeeded. 198.72/60.05 198.72/60.05 Details of failed attempt(s): 198.72/60.05 ----------------------------- 198.72/60.05 1) 'Fastest (timeout of 30 seconds)' failed due to the following 198.72/60.05 reason: 198.72/60.05 198.72/60.05 Computation stopped due to timeout after 30.0 seconds. 198.72/60.05 198.72/60.05 2) 'Fastest' failed due to the following reason: 198.72/60.05 198.72/60.05 None of the processors succeeded. 198.72/60.05 198.72/60.05 Details of failed attempt(s): 198.72/60.05 ----------------------------- 198.72/60.05 1) 'matrix interpretation of dimension 6' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 2) 'matrix interpretation of dimension 5' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 3) 'matrix interpretation of dimension 4' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 4) 'matrix interpretation of dimension 3' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 5) 'matrix interpretation of dimension 2' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 6) 'matrix interpretation of dimension 1' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 198.72/60.05 3) 'iteProgress' failed due to the following reason: 198.72/60.05 198.72/60.05 Fail 198.72/60.05 198.72/60.05 4) 'bsearch-matrix' failed due to the following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 198.72/60.05 198.72/60.05 3) 'iteProgress (timeout of 297 seconds)' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 Fail 198.72/60.05 198.72/60.05 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 198.72/60.05 following reason: 198.72/60.05 198.72/60.05 The input cannot be shown compatible 198.72/60.05 198.72/60.05 198.72/60.05 Arrrr.. 198.72/60.05 EOF