MAYBE 199.08/60.02 MAYBE 199.08/60.02 199.08/60.02 We are left with following problem, upon which TcT provides the 199.08/60.02 certificate MAYBE. 199.08/60.02 199.08/60.02 Strict Trs: 199.08/60.02 { a(x1) -> x1 199.08/60.02 , a(b(x1)) -> b(b(a(c(x1)))) 199.08/60.02 , b(b(x1)) -> x1 199.08/60.02 , c(c(x1)) -> a(x1) } 199.08/60.02 Obligation: 199.08/60.02 derivational complexity 199.08/60.02 Answer: 199.08/60.02 MAYBE 199.08/60.02 199.08/60.02 None of the processors succeeded. 199.08/60.02 199.08/60.02 Details of failed attempt(s): 199.08/60.02 ----------------------------- 199.08/60.02 1) 'Fastest (timeout of 60 seconds)' failed due to the following 199.08/60.02 reason: 199.08/60.02 199.08/60.02 Computation stopped due to timeout after 60.0 seconds. 199.08/60.02 199.08/60.02 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 199.08/60.02 the following reason: 199.08/60.02 199.08/60.02 The weightgap principle applies (using the following nonconstant 199.08/60.02 growth matrix-interpretation) 199.08/60.02 199.08/60.02 TcT has computed the following triangular matrix interpretation. 199.08/60.02 Note that the diagonal of the component-wise maxima of 199.08/60.02 interpretation-entries contains no more than 1 non-zero entries. 199.08/60.02 199.08/60.02 [a](x1) = [1] x1 + [2] 199.08/60.02 199.08/60.02 [b](x1) = [1] x1 + [0] 199.08/60.02 199.08/60.02 [c](x1) = [1] x1 + [1] 199.08/60.02 199.08/60.03 The order satisfies the following ordering constraints: 199.08/60.03 199.08/60.03 [a(x1)] = [1] x1 + [2] 199.08/60.03 > [1] x1 + [0] 199.08/60.03 = [x1] 199.08/60.03 199.08/60.03 [a(b(x1))] = [1] x1 + [2] 199.08/60.03 ? [1] x1 + [3] 199.08/60.03 = [b(b(a(c(x1))))] 199.08/60.03 199.08/60.03 [b(b(x1))] = [1] x1 + [0] 199.08/60.03 >= [1] x1 + [0] 199.08/60.03 = [x1] 199.08/60.03 199.08/60.03 [c(c(x1))] = [1] x1 + [2] 199.08/60.03 >= [1] x1 + [2] 199.08/60.03 = [a(x1)] 199.08/60.03 199.08/60.03 199.08/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 199.08/60.03 199.08/60.03 We are left with following problem, upon which TcT provides the 199.08/60.03 certificate MAYBE. 199.08/60.03 199.08/60.03 Strict Trs: 199.08/60.03 { a(b(x1)) -> b(b(a(c(x1)))) 199.08/60.03 , b(b(x1)) -> x1 199.08/60.03 , c(c(x1)) -> a(x1) } 199.08/60.03 Weak Trs: { a(x1) -> x1 } 199.08/60.03 Obligation: 199.08/60.03 derivational complexity 199.08/60.03 Answer: 199.08/60.03 MAYBE 199.08/60.03 199.08/60.03 The weightgap principle applies (using the following nonconstant 199.08/60.03 growth matrix-interpretation) 199.08/60.03 199.08/60.03 TcT has computed the following triangular matrix interpretation. 199.08/60.03 Note that the diagonal of the component-wise maxima of 199.08/60.03 interpretation-entries contains no more than 1 non-zero entries. 199.08/60.03 199.08/60.03 [a](x1) = [1] x1 + [0] 199.08/60.03 199.08/60.03 [b](x1) = [1] x1 + [0] 199.08/60.03 199.08/60.03 [c](x1) = [1] x1 + [1] 199.08/60.03 199.08/60.03 The order satisfies the following ordering constraints: 199.08/60.03 199.08/60.03 [a(x1)] = [1] x1 + [0] 199.08/60.03 >= [1] x1 + [0] 199.08/60.03 = [x1] 199.08/60.03 199.08/60.03 [a(b(x1))] = [1] x1 + [0] 199.08/60.03 ? [1] x1 + [1] 199.08/60.03 = [b(b(a(c(x1))))] 199.08/60.03 199.08/60.03 [b(b(x1))] = [1] x1 + [0] 199.08/60.03 >= [1] x1 + [0] 199.08/60.03 = [x1] 199.08/60.03 199.08/60.03 [c(c(x1))] = [1] x1 + [2] 199.08/60.03 > [1] x1 + [0] 199.08/60.03 = [a(x1)] 199.08/60.03 199.08/60.03 199.08/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 199.08/60.03 199.08/60.03 We are left with following problem, upon which TcT provides the 199.08/60.03 certificate MAYBE. 199.08/60.03 199.08/60.03 Strict Trs: 199.08/60.03 { a(b(x1)) -> b(b(a(c(x1)))) 199.08/60.03 , b(b(x1)) -> x1 } 199.08/60.03 Weak Trs: 199.08/60.03 { a(x1) -> x1 199.08/60.03 , c(c(x1)) -> a(x1) } 199.08/60.03 Obligation: 199.08/60.03 derivational complexity 199.08/60.03 Answer: 199.08/60.03 MAYBE 199.08/60.03 199.08/60.03 The weightgap principle applies (using the following nonconstant 199.08/60.03 growth matrix-interpretation) 199.08/60.03 199.08/60.03 TcT has computed the following triangular matrix interpretation. 199.08/60.03 Note that the diagonal of the component-wise maxima of 199.08/60.03 interpretation-entries contains no more than 1 non-zero entries. 199.08/60.03 199.08/60.03 [a](x1) = [1] x1 + [0] 199.08/60.03 199.08/60.03 [b](x1) = [1] x1 + [1] 199.08/60.03 199.08/60.03 [c](x1) = [1] x1 + [2] 199.08/60.03 199.08/60.03 The order satisfies the following ordering constraints: 199.08/60.03 199.08/60.03 [a(x1)] = [1] x1 + [0] 199.08/60.03 >= [1] x1 + [0] 199.08/60.03 = [x1] 199.08/60.03 199.08/60.03 [a(b(x1))] = [1] x1 + [1] 199.08/60.03 ? [1] x1 + [4] 199.08/60.03 = [b(b(a(c(x1))))] 199.08/60.03 199.08/60.03 [b(b(x1))] = [1] x1 + [2] 199.08/60.03 > [1] x1 + [0] 199.08/60.03 = [x1] 199.08/60.03 199.08/60.03 [c(c(x1))] = [1] x1 + [4] 199.08/60.03 > [1] x1 + [0] 199.08/60.03 = [a(x1)] 199.08/60.03 199.08/60.03 199.08/60.03 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 199.08/60.03 199.08/60.03 We are left with following problem, upon which TcT provides the 199.08/60.03 certificate MAYBE. 199.08/60.03 199.08/60.03 Strict Trs: { a(b(x1)) -> b(b(a(c(x1)))) } 199.08/60.03 Weak Trs: 199.08/60.03 { a(x1) -> x1 199.08/60.03 , b(b(x1)) -> x1 199.08/60.03 , c(c(x1)) -> a(x1) } 199.08/60.03 Obligation: 199.08/60.03 derivational complexity 199.08/60.03 Answer: 199.08/60.03 MAYBE 199.08/60.03 199.08/60.03 None of the processors succeeded. 199.08/60.03 199.08/60.03 Details of failed attempt(s): 199.08/60.03 ----------------------------- 199.08/60.03 1) 'empty' failed due to the following reason: 199.08/60.03 199.08/60.03 Empty strict component of the problem is NOT empty. 199.08/60.03 199.08/60.03 2) 'Fastest' failed due to the following reason: 199.08/60.03 199.08/60.03 None of the processors succeeded. 199.08/60.03 199.08/60.03 Details of failed attempt(s): 199.08/60.03 ----------------------------- 199.08/60.03 1) 'Fastest (timeout of 30 seconds)' failed due to the following 199.08/60.03 reason: 199.08/60.03 199.08/60.03 Computation stopped due to timeout after 30.0 seconds. 199.08/60.03 199.08/60.03 2) 'Fastest' failed due to the following reason: 199.08/60.03 199.08/60.03 None of the processors succeeded. 199.08/60.03 199.08/60.03 Details of failed attempt(s): 199.08/60.03 ----------------------------- 199.08/60.03 1) 'matrix interpretation of dimension 6' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 2) 'matrix interpretation of dimension 5' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 3) 'matrix interpretation of dimension 4' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 4) 'matrix interpretation of dimension 3' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 5) 'matrix interpretation of dimension 2' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 6) 'matrix interpretation of dimension 1' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 199.08/60.03 3) 'iteProgress' failed due to the following reason: 199.08/60.03 199.08/60.03 Fail 199.08/60.03 199.08/60.03 4) 'bsearch-matrix' failed due to the following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 199.08/60.03 199.08/60.03 3) 'iteProgress (timeout of 297 seconds)' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 Fail 199.08/60.03 199.08/60.03 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 199.08/60.03 following reason: 199.08/60.03 199.08/60.03 The input cannot be shown compatible 199.08/60.03 199.08/60.03 199.08/60.03 Arrrr.. 199.08/60.03 EOF