MAYBE 854.53/297.03 MAYBE 854.53/297.03 854.53/297.03 We are left with following problem, upon which TcT provides the 854.53/297.03 certificate MAYBE. 854.53/297.03 854.53/297.03 Strict Trs: 854.53/297.03 { a__from(X) -> cons(mark(X), from(s(X))) 854.53/297.03 , a__from(X) -> from(X) 854.53/297.03 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 854.53/297.03 , mark(from(X)) -> a__from(mark(X)) 854.53/297.03 , mark(s(X)) -> s(mark(X)) 854.53/297.03 , mark(0()) -> 0() 854.53/297.03 , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) 854.53/297.03 , a__sel(X1, X2) -> sel(X1, X2) 854.53/297.03 , a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) 854.53/297.03 , a__sel(0(), cons(X, Y)) -> mark(X) } 854.53/297.03 Obligation: 854.53/297.03 runtime complexity 854.53/297.03 Answer: 854.53/297.03 MAYBE 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 854.53/297.03 following reason: 854.53/297.03 854.53/297.03 Computation stopped due to timeout after 297.0 seconds. 854.53/297.03 854.53/297.03 2) 'Best' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 854.53/297.03 seconds)' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'empty' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 2) 'With Problem ...' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'empty' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 2) 'Fastest' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'With Problem ...' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'empty' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 2) 'With Problem ...' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'empty' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 2) 'With Problem ...' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'empty' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 2) 'With Problem ...' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 854.53/297.03 854.53/297.03 854.53/297.03 2) 'With Problem ...' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'empty' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 2) 'With Problem ...' failed due to the following reason: 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 854.53/297.03 854.53/297.03 854.53/297.03 854.53/297.03 2) 'Best' failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 854.53/297.03 following reason: 854.53/297.03 854.53/297.03 The processor is inapplicable, reason: 854.53/297.03 Processor only applicable for innermost runtime complexity analysis 854.53/297.03 854.53/297.03 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 854.53/297.03 to the following reason: 854.53/297.03 854.53/297.03 The processor is inapplicable, reason: 854.53/297.03 Processor only applicable for innermost runtime complexity analysis 854.53/297.03 854.53/297.03 854.53/297.03 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 854.53/297.03 failed due to the following reason: 854.53/297.03 854.53/297.03 None of the processors succeeded. 854.53/297.03 854.53/297.03 Details of failed attempt(s): 854.53/297.03 ----------------------------- 854.53/297.03 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 854.53/297.03 failed due to the following reason: 854.53/297.03 854.53/297.03 match-boundness of the problem could not be verified. 854.53/297.03 854.53/297.03 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 854.53/297.03 failed due to the following reason: 854.53/297.03 854.53/297.03 match-boundness of the problem could not be verified. 854.53/297.03 854.53/297.03 854.53/297.03 854.53/297.03 3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to 854.53/297.03 the following reason: 854.53/297.03 854.53/297.03 We add the following weak dependency pairs: 854.53/297.03 854.53/297.03 Strict DPs: 854.53/297.03 { a__from^#(X) -> c_1(mark^#(X), X) 854.53/297.03 , a__from^#(X) -> c_2(X) 854.53/297.03 , mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2) 854.53/297.03 , mark^#(from(X)) -> c_4(a__from^#(mark(X))) 854.53/297.03 , mark^#(s(X)) -> c_5(mark^#(X)) 854.53/297.03 , mark^#(0()) -> c_6() 854.53/297.03 , mark^#(sel(X1, X2)) -> c_7(a__sel^#(mark(X1), mark(X2))) 854.53/297.03 , a__sel^#(X1, X2) -> c_8(X1, X2) 854.53/297.03 , a__sel^#(s(X), cons(Y, Z)) -> c_9(a__sel^#(mark(X), mark(Z))) 854.53/297.03 , a__sel^#(0(), cons(X, Y)) -> c_10(mark^#(X)) } 854.53/297.03 854.53/297.03 and mark the set of starting terms. 854.53/297.03 854.53/297.03 We are left with following problem, upon which TcT provides the 854.53/297.03 certificate MAYBE. 854.53/297.03 854.53/297.03 Strict DPs: 854.53/297.03 { a__from^#(X) -> c_1(mark^#(X), X) 854.53/297.03 , a__from^#(X) -> c_2(X) 854.53/297.03 , mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2) 854.53/297.03 , mark^#(from(X)) -> c_4(a__from^#(mark(X))) 854.53/297.03 , mark^#(s(X)) -> c_5(mark^#(X)) 854.53/297.03 , mark^#(0()) -> c_6() 854.53/297.03 , mark^#(sel(X1, X2)) -> c_7(a__sel^#(mark(X1), mark(X2))) 854.53/297.03 , a__sel^#(X1, X2) -> c_8(X1, X2) 854.53/297.03 , a__sel^#(s(X), cons(Y, Z)) -> c_9(a__sel^#(mark(X), mark(Z))) 854.53/297.03 , a__sel^#(0(), cons(X, Y)) -> c_10(mark^#(X)) } 854.53/297.03 Strict Trs: 854.53/297.03 { a__from(X) -> cons(mark(X), from(s(X))) 854.53/297.03 , a__from(X) -> from(X) 854.53/297.03 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 854.53/297.03 , mark(from(X)) -> a__from(mark(X)) 854.53/297.03 , mark(s(X)) -> s(mark(X)) 854.53/297.03 , mark(0()) -> 0() 854.53/297.03 , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) 854.53/297.03 , a__sel(X1, X2) -> sel(X1, X2) 854.53/297.03 , a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) 854.53/297.03 , a__sel(0(), cons(X, Y)) -> mark(X) } 854.53/297.03 Obligation: 854.53/297.03 runtime complexity 854.53/297.03 Answer: 854.53/297.03 MAYBE 854.53/297.03 854.53/297.03 We estimate the number of application of {6} by applications of 854.53/297.03 Pre({6}) = {1,2,3,5,8,10}. Here rules are labeled as follows: 854.53/297.03 854.53/297.03 DPs: 854.53/297.03 { 1: a__from^#(X) -> c_1(mark^#(X), X) 854.53/297.03 , 2: a__from^#(X) -> c_2(X) 854.53/297.03 , 3: mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2) 854.53/297.03 , 4: mark^#(from(X)) -> c_4(a__from^#(mark(X))) 854.53/297.03 , 5: mark^#(s(X)) -> c_5(mark^#(X)) 854.53/297.03 , 6: mark^#(0()) -> c_6() 854.53/297.03 , 7: mark^#(sel(X1, X2)) -> c_7(a__sel^#(mark(X1), mark(X2))) 854.53/297.03 , 8: a__sel^#(X1, X2) -> c_8(X1, X2) 854.53/297.03 , 9: a__sel^#(s(X), cons(Y, Z)) -> c_9(a__sel^#(mark(X), mark(Z))) 854.53/297.03 , 10: a__sel^#(0(), cons(X, Y)) -> c_10(mark^#(X)) } 854.53/297.03 854.53/297.03 We are left with following problem, upon which TcT provides the 854.53/297.03 certificate MAYBE. 854.53/297.03 854.53/297.03 Strict DPs: 854.53/297.03 { a__from^#(X) -> c_1(mark^#(X), X) 854.53/297.03 , a__from^#(X) -> c_2(X) 854.53/297.03 , mark^#(cons(X1, X2)) -> c_3(mark^#(X1), X2) 854.53/297.03 , mark^#(from(X)) -> c_4(a__from^#(mark(X))) 854.53/297.03 , mark^#(s(X)) -> c_5(mark^#(X)) 854.53/297.03 , mark^#(sel(X1, X2)) -> c_7(a__sel^#(mark(X1), mark(X2))) 854.53/297.03 , a__sel^#(X1, X2) -> c_8(X1, X2) 854.53/297.03 , a__sel^#(s(X), cons(Y, Z)) -> c_9(a__sel^#(mark(X), mark(Z))) 854.53/297.03 , a__sel^#(0(), cons(X, Y)) -> c_10(mark^#(X)) } 854.53/297.03 Strict Trs: 854.53/297.03 { a__from(X) -> cons(mark(X), from(s(X))) 854.53/297.03 , a__from(X) -> from(X) 854.53/297.03 , mark(cons(X1, X2)) -> cons(mark(X1), X2) 854.53/297.03 , mark(from(X)) -> a__from(mark(X)) 854.53/297.03 , mark(s(X)) -> s(mark(X)) 854.53/297.03 , mark(0()) -> 0() 854.53/297.03 , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) 854.53/297.03 , a__sel(X1, X2) -> sel(X1, X2) 854.53/297.03 , a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) 854.53/297.03 , a__sel(0(), cons(X, Y)) -> mark(X) } 854.53/297.03 Weak DPs: { mark^#(0()) -> c_6() } 854.53/297.03 Obligation: 854.53/297.03 runtime complexity 854.53/297.03 Answer: 854.53/297.03 MAYBE 854.53/297.03 854.53/297.03 Empty strict component of the problem is NOT empty. 854.53/297.03 854.53/297.03 854.53/297.03 Arrrr.. 854.76/297.28 EOF