MAYBE
196.42/60.05 MAYBE
196.42/60.05
196.42/60.05 We are left with following problem, upon which TcT provides the
196.42/60.05 certificate MAYBE.
196.42/60.05
196.42/60.05 Strict Trs:
196.42/60.05 { a(a(x1)) -> a(b(c(c(x1))))
196.42/60.05 , c(a(x1)) -> x1
196.42/60.05 , c(b(x1)) -> a(a(x1)) }
196.42/60.05 Obligation:
196.42/60.05 derivational complexity
196.42/60.05 Answer:
196.42/60.05 MAYBE
196.42/60.05
196.42/60.05 None of the processors succeeded.
196.42/60.05
196.42/60.05 Details of failed attempt(s):
196.42/60.05 -----------------------------
196.42/60.05 1) 'Fastest (timeout of 60 seconds)' failed due to the following
196.42/60.05 reason:
196.42/60.05
196.42/60.05 Computation stopped due to timeout after 60.0 seconds.
196.42/60.05
196.42/60.05 2) 'Inspecting Problem... (timeout of 297 seconds)' failed due to
196.42/60.05 the following reason:
196.42/60.05
196.42/60.05 The weightgap principle applies (using the following nonconstant
196.42/60.05 growth matrix-interpretation)
196.42/60.05
196.42/60.05 TcT has computed the following triangular matrix interpretation.
196.42/60.05 Note that the diagonal of the component-wise maxima of
196.42/60.05 interpretation-entries contains no more than 1 non-zero entries.
196.42/60.05
196.42/60.05 [a](x1) = [1] x1 + [0]
196.42/60.05
196.42/60.05 [b](x1) = [1] x1 + [1]
196.42/60.05
196.42/60.05 [c](x1) = [1] x1 + [0]
196.42/60.05
196.42/60.05 The order satisfies the following ordering constraints:
196.42/60.05
196.42/60.05 [a(a(x1))] = [1] x1 + [0]
196.42/60.05 ? [1] x1 + [1]
196.42/60.05 = [a(b(c(c(x1))))]
196.42/60.05
196.42/60.05 [c(a(x1))] = [1] x1 + [0]
196.42/60.05 >= [1] x1 + [0]
196.42/60.05 = [x1]
196.42/60.05
196.42/60.05 [c(b(x1))] = [1] x1 + [1]
196.42/60.05 > [1] x1 + [0]
196.42/60.05 = [a(a(x1))]
196.42/60.05
196.42/60.05
196.42/60.05 Further, it can be verified that all rules not oriented are covered by the weightgap condition.
196.42/60.05
196.42/60.05 We are left with following problem, upon which TcT provides the
196.42/60.05 certificate MAYBE.
196.42/60.05
196.42/60.05 Strict Trs:
196.42/60.05 { a(a(x1)) -> a(b(c(c(x1))))
196.42/60.05 , c(a(x1)) -> x1 }
196.42/60.05 Weak Trs: { c(b(x1)) -> a(a(x1)) }
196.42/60.05 Obligation:
196.42/60.05 derivational complexity
196.42/60.05 Answer:
196.42/60.05 MAYBE
196.42/60.05
196.42/60.05 The weightgap principle applies (using the following nonconstant
196.42/60.05 growth matrix-interpretation)
196.42/60.05
196.42/60.05 TcT has computed the following triangular matrix interpretation.
196.42/60.05 Note that the diagonal of the component-wise maxima of
196.42/60.05 interpretation-entries contains no more than 1 non-zero entries.
196.42/60.05
196.42/60.05 [a](x1) = [1] x1 + [0]
196.42/60.05
196.42/60.05 [b](x1) = [1] x1 + [2]
196.42/60.05
196.42/60.05 [c](x1) = [1] x1 + [1]
196.42/60.05
196.42/60.05 The order satisfies the following ordering constraints:
196.42/60.05
196.42/60.05 [a(a(x1))] = [1] x1 + [0]
196.42/60.05 ? [1] x1 + [4]
196.42/60.05 = [a(b(c(c(x1))))]
196.42/60.05
196.42/60.05 [c(a(x1))] = [1] x1 + [1]
196.42/60.05 > [1] x1 + [0]
196.42/60.05 = [x1]
196.42/60.05
196.42/60.05 [c(b(x1))] = [1] x1 + [3]
196.42/60.05 > [1] x1 + [0]
196.42/60.05 = [a(a(x1))]
196.42/60.05
196.42/60.05
196.42/60.05 Further, it can be verified that all rules not oriented are covered by the weightgap condition.
196.42/60.05
196.42/60.05 We are left with following problem, upon which TcT provides the
196.42/60.05 certificate MAYBE.
196.42/60.05
196.42/60.05 Strict Trs: { a(a(x1)) -> a(b(c(c(x1)))) }
196.42/60.05 Weak Trs:
196.42/60.05 { c(a(x1)) -> x1
196.42/60.05 , c(b(x1)) -> a(a(x1)) }
196.42/60.05 Obligation:
196.42/60.05 derivational complexity
196.42/60.05 Answer:
196.42/60.05 MAYBE
196.42/60.05
196.42/60.05 None of the processors succeeded.
196.42/60.05
196.42/60.05 Details of failed attempt(s):
196.42/60.05 -----------------------------
196.42/60.05 1) 'empty' failed due to the following reason:
196.42/60.05
196.42/60.05 Empty strict component of the problem is NOT empty.
196.42/60.05
196.42/60.05 2) 'Fastest' failed due to the following reason:
196.42/60.05
196.42/60.05 None of the processors succeeded.
196.42/60.05
196.42/60.05 Details of failed attempt(s):
196.42/60.05 -----------------------------
196.42/60.05 1) 'Fastest (timeout of 30 seconds)' failed due to the following
196.42/60.05 reason:
196.42/60.05
196.42/60.05 Computation stopped due to timeout after 30.0 seconds.
196.42/60.05
196.42/60.05 2) 'Fastest' failed due to the following reason:
196.42/60.05
196.42/60.05 None of the processors succeeded.
196.42/60.05
196.42/60.05 Details of failed attempt(s):
196.42/60.05 -----------------------------
196.42/60.05 1) 'matrix interpretation of dimension 6' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05 2) 'matrix interpretation of dimension 5' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05 3) 'matrix interpretation of dimension 4' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05 4) 'matrix interpretation of dimension 3' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05 5) 'matrix interpretation of dimension 2' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05 6) 'matrix interpretation of dimension 1' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05
196.42/60.05 3) 'iteProgress' failed due to the following reason:
196.42/60.05
196.42/60.05 Fail
196.42/60.05
196.42/60.05 4) 'bsearch-matrix' failed due to the following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05
196.42/60.05
196.42/60.05 3) 'iteProgress (timeout of 297 seconds)' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 Fail
196.42/60.05
196.42/60.05 4) 'bsearch-matrix (timeout of 297 seconds)' failed due to the
196.42/60.05 following reason:
196.42/60.05
196.42/60.05 The input cannot be shown compatible
196.42/60.05
196.42/60.05
196.42/60.05 Arrrr..
196.42/60.05 EOF