MAYBE 252.19/87.26 MAYBE 252.19/87.26 252.19/87.26 We are left with following problem, upon which TcT provides the 252.19/87.26 certificate MAYBE. 252.19/87.26 252.19/87.26 Strict Trs: 252.19/87.26 { a(x1) -> x1 252.19/87.26 , a(b(x1)) -> b(b(c(a(c(x1))))) 252.19/87.26 , c(c(x1)) -> b(a(x1)) } 252.19/87.26 Obligation: 252.19/87.26 derivational complexity 252.19/87.26 Answer: 252.19/87.26 MAYBE 252.19/87.26 252.19/87.26 None of the processors succeeded. 252.19/87.26 252.19/87.26 Details of failed attempt(s): 252.19/87.26 ----------------------------- 252.19/87.26 1) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 252.19/87.26 the following reason: 252.19/87.26 252.19/87.26 The weightgap principle applies (using the following nonconstant 252.19/87.26 growth matrix-interpretation) 252.19/87.26 252.19/87.26 TcT has computed the following triangular matrix interpretation. 252.19/87.26 Note that the diagonal of the component-wise maxima of 252.19/87.26 interpretation-entries contains no more than 1 non-zero entries. 252.19/87.26 252.19/87.26 [a](x1) = [1] x1 + [1] 252.19/87.26 252.19/87.26 [b](x1) = [1] x1 + [0] 252.19/87.26 252.19/87.26 [c](x1) = [1] x1 + [0] 252.19/87.26 252.19/87.26 The order satisfies the following ordering constraints: 252.19/87.26 252.19/87.26 [a(x1)] = [1] x1 + [1] 252.19/87.26 > [1] x1 + [0] 252.19/87.26 = [x1] 252.19/87.26 252.19/87.26 [a(b(x1))] = [1] x1 + [1] 252.19/87.26 >= [1] x1 + [1] 252.19/87.26 = [b(b(c(a(c(x1)))))] 252.19/87.26 252.19/87.26 [c(c(x1))] = [1] x1 + [0] 252.19/87.26 ? [1] x1 + [1] 252.19/87.26 = [b(a(x1))] 252.19/87.26 252.19/87.26 252.19/87.26 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 252.19/87.26 252.19/87.26 We are left with following problem, upon which TcT provides the 252.19/87.26 certificate MAYBE. 252.19/87.26 252.19/87.26 Strict Trs: 252.19/87.26 { a(b(x1)) -> b(b(c(a(c(x1))))) 252.19/87.26 , c(c(x1)) -> b(a(x1)) } 252.19/87.26 Weak Trs: { a(x1) -> x1 } 252.19/87.26 Obligation: 252.19/87.26 derivational complexity 252.19/87.26 Answer: 252.19/87.26 MAYBE 252.19/87.26 252.19/87.26 The weightgap principle applies (using the following nonconstant 252.19/87.26 growth matrix-interpretation) 252.19/87.26 252.19/87.26 TcT has computed the following triangular matrix interpretation. 252.19/87.26 Note that the diagonal of the component-wise maxima of 252.19/87.26 interpretation-entries contains no more than 1 non-zero entries. 252.19/87.26 252.19/87.26 [a](x1) = [1] x1 + [0] 252.19/87.26 252.19/87.26 [b](x1) = [1] x1 + [0] 252.19/87.26 252.19/87.26 [c](x1) = [1] x1 + [2] 252.19/87.26 252.19/87.26 The order satisfies the following ordering constraints: 252.19/87.26 252.19/87.26 [a(x1)] = [1] x1 + [0] 252.19/87.26 >= [1] x1 + [0] 252.19/87.26 = [x1] 252.19/87.26 252.19/87.26 [a(b(x1))] = [1] x1 + [0] 252.19/87.26 ? [1] x1 + [4] 252.19/87.26 = [b(b(c(a(c(x1)))))] 252.19/87.26 252.19/87.26 [c(c(x1))] = [1] x1 + [4] 252.19/87.26 > [1] x1 + [0] 252.19/87.26 = [b(a(x1))] 252.19/87.26 252.19/87.26 252.19/87.26 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 252.19/87.26 252.19/87.26 We are left with following problem, upon which TcT provides the 252.19/87.26 certificate MAYBE. 252.19/87.26 252.19/87.26 Strict Trs: { a(b(x1)) -> b(b(c(a(c(x1))))) } 252.19/87.26 Weak Trs: 252.19/87.26 { a(x1) -> x1 252.19/87.26 , c(c(x1)) -> b(a(x1)) } 252.19/87.26 Obligation: 252.19/87.26 derivational complexity 252.19/87.26 Answer: 252.19/87.26 MAYBE 252.19/87.26 252.19/87.26 None of the processors succeeded. 252.19/87.26 252.19/87.26 Details of failed attempt(s): 252.19/87.26 ----------------------------- 252.19/87.26 1) 'empty' failed due to the following reason: 252.19/87.26 252.19/87.26 Empty strict component of the problem is NOT empty. 252.19/87.26 252.19/87.26 2) 'Fastest' failed due to the following reason: 252.19/87.26 252.19/87.26 None of the processors succeeded. 252.19/87.26 252.19/87.26 Details of failed attempt(s): 252.19/87.26 ----------------------------- 252.19/87.26 1) 'Fastest' failed due to the following reason: 252.19/87.26 252.19/87.26 None of the processors succeeded. 252.19/87.26 252.19/87.26 Details of failed attempt(s): 252.19/87.26 ----------------------------- 252.19/87.26 1) 'matrix interpretation of dimension 6' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 2) 'matrix interpretation of dimension 5' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 3) 'matrix interpretation of dimension 4' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 4) 'matrix interpretation of dimension 3' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 5) 'matrix interpretation of dimension 2' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 6) 'matrix interpretation of dimension 1' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 252.19/87.26 2) 'Fastest (timeout of 30 seconds)' failed due to the following 252.19/87.26 reason: 252.19/87.26 252.19/87.26 Computation stopped due to timeout after 30.0 seconds. 252.19/87.26 252.19/87.26 3) 'bsearch-matrix' failed due to the following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 4) 'iteProgress' failed due to the following reason: 252.19/87.26 252.19/87.26 Fail 252.19/87.26 252.19/87.26 252.19/87.26 252.19/87.26 2) 'Fastest (timeout of 60 seconds)' failed due to the following 252.19/87.26 reason: 252.19/87.26 252.19/87.26 Computation stopped due to timeout after 60.0 seconds. 252.19/87.26 252.19/87.26 3) 'iteProgress (timeout of 297 seconds)' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 Fail 252.19/87.26 252.19/87.26 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 252.19/87.26 following reason: 252.19/87.26 252.19/87.26 The input cannot be shown compatible 252.19/87.26 252.19/87.26 252.19/87.26 Arrrr.. 252.29/87.30 EOF