MAYBE 486.99/172.35 MAYBE 486.99/172.35 486.99/172.35 We are left with following problem, upon which TcT provides the 486.99/172.35 certificate MAYBE. 486.99/172.35 486.99/172.35 Strict Trs: 486.99/172.35 { a(x1) -> x1 486.99/172.35 , a(a(b(x1))) -> b(a(b(a(c(a(x1)))))) 486.99/172.35 , c(b(x1)) -> x1 } 486.99/172.35 Obligation: 486.99/172.35 derivational complexity 486.99/172.35 Answer: 486.99/172.35 MAYBE 486.99/172.35 486.99/172.35 None of the processors succeeded. 486.99/172.35 486.99/172.35 Details of failed attempt(s): 486.99/172.35 ----------------------------- 486.99/172.35 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 486.99/172.35 the following reason: 486.99/172.35 486.99/172.35 The weightgap principle applies (using the following nonconstant 486.99/172.35 growth matrix-interpretation) 486.99/172.35 486.99/172.35 TcT has computed the following triangular matrix interpretation. 486.99/172.35 Note that the diagonal of the component-wise maxima of 486.99/172.35 interpretation-entries contains no more than 1 non-zero entries. 486.99/172.35 486.99/172.35 [a](x1) = [1] x1 + [0] 486.99/172.35 486.99/172.35 [b](x1) = [1] x1 + [0] 486.99/172.35 486.99/172.35 [c](x1) = [1] x1 + [1] 486.99/172.35 486.99/172.35 The order satisfies the following ordering constraints: 486.99/172.35 486.99/172.35 [a(x1)] = [1] x1 + [0] 486.99/172.35 >= [1] x1 + [0] 486.99/172.35 = [x1] 486.99/172.35 486.99/172.35 [a(a(b(x1)))] = [1] x1 + [0] 486.99/172.35 ? [1] x1 + [1] 486.99/172.35 = [b(a(b(a(c(a(x1))))))] 486.99/172.35 486.99/172.35 [c(b(x1))] = [1] x1 + [1] 486.99/172.35 > [1] x1 + [0] 486.99/172.35 = [x1] 486.99/172.35 486.99/172.35 486.99/172.35 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 486.99/172.35 486.99/172.35 We are left with following problem, upon which TcT provides the 486.99/172.35 certificate MAYBE. 486.99/172.35 486.99/172.35 Strict Trs: 486.99/172.35 { a(x1) -> x1 486.99/172.35 , a(a(b(x1))) -> b(a(b(a(c(a(x1)))))) } 486.99/172.35 Weak Trs: { c(b(x1)) -> x1 } 486.99/172.35 Obligation: 486.99/172.35 derivational complexity 486.99/172.35 Answer: 486.99/172.35 MAYBE 486.99/172.35 486.99/172.35 The weightgap principle applies (using the following nonconstant 486.99/172.35 growth matrix-interpretation) 486.99/172.35 486.99/172.35 TcT has computed the following triangular matrix interpretation. 486.99/172.35 Note that the diagonal of the component-wise maxima of 486.99/172.35 interpretation-entries contains no more than 1 non-zero entries. 486.99/172.35 486.99/172.35 [a](x1) = [1] x1 + [2] 486.99/172.35 486.99/172.35 [b](x1) = [1] x1 + [0] 486.99/172.35 486.99/172.35 [c](x1) = [1] x1 + [0] 486.99/172.35 486.99/172.35 The order satisfies the following ordering constraints: 486.99/172.35 486.99/172.35 [a(x1)] = [1] x1 + [2] 486.99/172.35 > [1] x1 + [0] 486.99/172.35 = [x1] 486.99/172.35 486.99/172.35 [a(a(b(x1)))] = [1] x1 + [4] 486.99/172.35 ? [1] x1 + [6] 486.99/172.35 = [b(a(b(a(c(a(x1))))))] 486.99/172.35 486.99/172.35 [c(b(x1))] = [1] x1 + [0] 486.99/172.35 >= [1] x1 + [0] 486.99/172.35 = [x1] 486.99/172.35 486.99/172.35 486.99/172.35 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 486.99/172.35 486.99/172.35 We are left with following problem, upon which TcT provides the 486.99/172.35 certificate MAYBE. 486.99/172.35 486.99/172.35 Strict Trs: { a(a(b(x1))) -> b(a(b(a(c(a(x1)))))) } 486.99/172.35 Weak Trs: 486.99/172.35 { a(x1) -> x1 486.99/172.35 , c(b(x1)) -> x1 } 486.99/172.35 Obligation: 486.99/172.35 derivational complexity 486.99/172.35 Answer: 486.99/172.35 MAYBE 486.99/172.35 486.99/172.35 None of the processors succeeded. 486.99/172.35 486.99/172.35 Details of failed attempt(s): 486.99/172.35 ----------------------------- 486.99/172.35 1) 'empty' failed due to the following reason: 486.99/172.35 486.99/172.35 Empty strict component of the problem is NOT empty. 486.99/172.35 486.99/172.35 2) 'Fastest' failed due to the following reason: 486.99/172.35 486.99/172.35 None of the processors succeeded. 486.99/172.35 486.99/172.35 Details of failed attempt(s): 486.99/172.35 ----------------------------- 486.99/172.35 1) 'bsearch-matrix' failed due to the following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 2) 'iteProgress' failed due to the following reason: 486.99/172.35 486.99/172.35 Fail 486.99/172.35 486.99/172.35 3) 'Fastest' failed due to the following reason: 486.99/172.35 486.99/172.35 None of the processors succeeded. 486.99/172.35 486.99/172.35 Details of failed attempt(s): 486.99/172.35 ----------------------------- 486.99/172.35 1) 'matrix interpretation of dimension 6' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 2) 'matrix interpretation of dimension 5' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 3) 'matrix interpretation of dimension 4' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 4) 'matrix interpretation of dimension 3' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 5) 'matrix interpretation of dimension 2' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 6) 'matrix interpretation of dimension 1' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 486.99/172.35 4) 'Fastest (timeout of 30 seconds)' failed due to the following 486.99/172.35 reason: 486.99/172.35 486.99/172.35 Computation stopped due to timeout after 30.0 seconds. 486.99/172.35 486.99/172.35 486.99/172.35 486.99/172.35 2) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 The input cannot be shown compatible 486.99/172.35 486.99/172.35 3) 'iteProgress (timeout of 297 seconds)' failed due to the 486.99/172.35 following reason: 486.99/172.35 486.99/172.35 Fail 486.99/172.35 486.99/172.35 4) 'Fastest (timeout of 60 seconds)' failed due to the following 486.99/172.35 reason: 486.99/172.35 486.99/172.35 Computation stopped due to timeout after 60.0 seconds. 486.99/172.35 486.99/172.35 486.99/172.35 Arrrr.. 487.28/172.42 EOF