MAYBE 199.74/60.04 MAYBE 199.74/60.04 199.74/60.04 We are left with following problem, upon which TcT provides the 199.74/60.04 certificate MAYBE. 199.74/60.04 199.74/60.04 Strict Trs: 199.74/60.04 { a(x1) -> x1 199.74/60.04 , a(a(x1)) -> a(b(a(c(a(x1))))) 199.74/60.04 , c(b(x1)) -> a(c(x1)) } 199.74/60.04 Obligation: 199.74/60.04 derivational complexity 199.74/60.04 Answer: 199.74/60.04 MAYBE 199.74/60.04 199.74/60.04 None of the processors succeeded. 199.74/60.04 199.74/60.04 Details of failed attempt(s): 199.74/60.04 ----------------------------- 199.74/60.04 1) 'Fastest (timeout of 60 seconds)' failed due to the following 199.74/60.04 reason: 199.74/60.04 199.74/60.04 Computation stopped due to timeout after 60.0 seconds. 199.74/60.04 199.74/60.04 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to 199.74/60.04 the following reason: 199.74/60.04 199.74/60.04 The weightgap principle applies (using the following nonconstant 199.74/60.04 growth matrix-interpretation) 199.74/60.04 199.74/60.04 TcT has computed the following triangular matrix interpretation. 199.74/60.04 Note that the diagonal of the component-wise maxima of 199.74/60.04 interpretation-entries contains no more than 1 non-zero entries. 199.74/60.04 199.74/60.04 [a](x1) = [1] x1 + [1] 199.74/60.04 199.74/60.04 [b](x1) = [1] x1 + [0] 199.74/60.04 199.74/60.04 [c](x1) = [1] x1 + [0] 199.74/60.04 199.74/60.04 The order satisfies the following ordering constraints: 199.74/60.04 199.74/60.04 [a(x1)] = [1] x1 + [1] 199.74/60.04 > [1] x1 + [0] 199.74/60.04 = [x1] 199.74/60.04 199.74/60.04 [a(a(x1))] = [1] x1 + [2] 199.74/60.04 ? [1] x1 + [3] 199.74/60.04 = [a(b(a(c(a(x1)))))] 199.74/60.04 199.74/60.04 [c(b(x1))] = [1] x1 + [0] 199.74/60.04 ? [1] x1 + [1] 199.74/60.04 = [a(c(x1))] 199.74/60.04 199.74/60.04 199.74/60.04 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 199.74/60.04 199.74/60.04 We are left with following problem, upon which TcT provides the 199.74/60.04 certificate MAYBE. 199.74/60.04 199.74/60.04 Strict Trs: 199.74/60.04 { a(a(x1)) -> a(b(a(c(a(x1))))) 199.74/60.04 , c(b(x1)) -> a(c(x1)) } 199.74/60.04 Weak Trs: { a(x1) -> x1 } 199.74/60.04 Obligation: 199.74/60.04 derivational complexity 199.74/60.04 Answer: 199.74/60.04 MAYBE 199.74/60.04 199.74/60.04 The weightgap principle applies (using the following nonconstant 199.74/60.04 growth matrix-interpretation) 199.74/60.04 199.74/60.04 TcT has computed the following triangular matrix interpretation. 199.74/60.04 Note that the diagonal of the component-wise maxima of 199.74/60.04 interpretation-entries contains no more than 1 non-zero entries. 199.74/60.04 199.74/60.04 [a](x1) = [1] x1 + [0] 199.74/60.04 199.74/60.04 [b](x1) = [1] x1 + [2] 199.74/60.04 199.74/60.04 [c](x1) = [1] x1 + [2] 199.74/60.04 199.74/60.04 The order satisfies the following ordering constraints: 199.74/60.04 199.74/60.04 [a(x1)] = [1] x1 + [0] 199.74/60.04 >= [1] x1 + [0] 199.74/60.04 = [x1] 199.74/60.04 199.74/60.04 [a(a(x1))] = [1] x1 + [0] 199.74/60.04 ? [1] x1 + [4] 199.74/60.04 = [a(b(a(c(a(x1)))))] 199.74/60.04 199.74/60.04 [c(b(x1))] = [1] x1 + [4] 199.74/60.04 > [1] x1 + [2] 199.74/60.04 = [a(c(x1))] 199.74/60.04 199.74/60.04 199.74/60.04 Further, it can be verified that all rules not oriented are covered by the weightgap condition. 199.74/60.04 199.74/60.04 We are left with following problem, upon which TcT provides the 199.74/60.04 certificate MAYBE. 199.74/60.04 199.74/60.04 Strict Trs: { a(a(x1)) -> a(b(a(c(a(x1))))) } 199.74/60.04 Weak Trs: 199.74/60.04 { a(x1) -> x1 199.74/60.04 , c(b(x1)) -> a(c(x1)) } 199.74/60.04 Obligation: 199.74/60.04 derivational complexity 199.74/60.04 Answer: 199.74/60.04 MAYBE 199.74/60.04 199.74/60.04 None of the processors succeeded. 199.74/60.04 199.74/60.04 Details of failed attempt(s): 199.74/60.04 ----------------------------- 199.74/60.04 1) 'empty' failed due to the following reason: 199.74/60.04 199.74/60.04 Empty strict component of the problem is NOT empty. 199.74/60.04 199.74/60.04 2) 'Fastest' failed due to the following reason: 199.74/60.04 199.74/60.04 None of the processors succeeded. 199.74/60.04 199.74/60.04 Details of failed attempt(s): 199.74/60.04 ----------------------------- 199.74/60.04 1) 'Fastest (timeout of 30 seconds)' failed due to the following 199.74/60.04 reason: 199.74/60.04 199.74/60.04 Computation stopped due to timeout after 30.0 seconds. 199.74/60.04 199.74/60.04 2) 'bsearch-matrix' failed due to the following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 3) 'iteProgress' failed due to the following reason: 199.74/60.04 199.74/60.04 Fail 199.74/60.04 199.74/60.04 4) 'Fastest' failed due to the following reason: 199.74/60.04 199.74/60.04 None of the processors succeeded. 199.74/60.04 199.74/60.04 Details of failed attempt(s): 199.74/60.04 ----------------------------- 199.74/60.04 1) 'matrix interpretation of dimension 6' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 2) 'matrix interpretation of dimension 5' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 3) 'matrix interpretation of dimension 4' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 4) 'matrix interpretation of dimension 3' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 5) 'matrix interpretation of dimension 2' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 6) 'matrix interpretation of dimension 1' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 199.74/60.04 199.74/60.04 199.74/60.04 3) 'bsearch-matrix (timeout of 297 seconds)' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 The input cannot be shown compatible 199.74/60.04 199.74/60.04 4) 'iteProgress (timeout of 297 seconds)' failed due to the 199.74/60.04 following reason: 199.74/60.04 199.74/60.04 Fail 199.74/60.04 199.74/60.04 199.74/60.04 Arrrr.. 199.74/60.05 EOF