MAYBE 870.37/297.02 MAYBE 870.37/297.02 870.37/297.02 We are left with following problem, upon which TcT provides the 870.37/297.02 certificate MAYBE. 870.37/297.02 870.37/297.02 Strict Trs: 870.37/297.02 { circ(s, id()) -> s 870.37/297.02 , circ(circ(s, t), u) -> circ(s, circ(t, u)) 870.37/297.02 , circ(cons(a, s), t) -> cons(msubst(a, t), circ(s, t)) 870.37/297.02 , circ(cons(lift(), s), circ(cons(lift(), t), u)) -> 870.37/297.02 circ(cons(lift(), circ(s, t)), u) 870.37/297.02 , circ(cons(lift(), s), cons(a, t)) -> cons(a, circ(s, t)) 870.37/297.02 , circ(cons(lift(), s), cons(lift(), t)) -> 870.37/297.02 cons(lift(), circ(s, t)) 870.37/297.02 , circ(id(), s) -> s 870.37/297.02 , msubst(a, id()) -> a 870.37/297.02 , msubst(msubst(a, s), t) -> msubst(a, circ(s, t)) 870.37/297.02 , subst(a, id()) -> a } 870.37/297.02 Obligation: 870.37/297.02 runtime complexity 870.37/297.02 Answer: 870.37/297.02 MAYBE 870.37/297.02 870.37/297.02 None of the processors succeeded. 870.37/297.02 870.37/297.02 Details of failed attempt(s): 870.37/297.02 ----------------------------- 870.37/297.02 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 870.37/297.02 following reason: 870.37/297.02 870.37/297.02 Computation stopped due to timeout after 297.0 seconds. 870.37/297.02 870.37/297.02 2) 'Best' failed due to the following reason: 870.37/297.02 870.37/297.02 None of the processors succeeded. 870.37/297.02 870.37/297.02 Details of failed attempt(s): 870.37/297.02 ----------------------------- 870.37/297.02 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 870.37/297.02 seconds)' failed due to the following reason: 870.37/297.02 870.37/297.02 Computation stopped due to timeout after 148.0 seconds. 870.37/297.02 870.37/297.02 2) 'Best' failed due to the following reason: 870.37/297.02 870.37/297.02 None of the processors succeeded. 870.37/297.02 870.37/297.02 Details of failed attempt(s): 870.37/297.02 ----------------------------- 870.37/297.02 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 870.37/297.02 following reason: 870.37/297.02 870.37/297.02 The processor is inapplicable, reason: 870.37/297.02 Processor only applicable for innermost runtime complexity analysis 870.37/297.02 870.37/297.02 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 870.37/297.02 to the following reason: 870.37/297.02 870.37/297.02 The processor is inapplicable, reason: 870.37/297.02 Processor only applicable for innermost runtime complexity analysis 870.37/297.02 870.37/297.02 870.37/297.02 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 870.37/297.02 failed due to the following reason: 870.37/297.02 870.37/297.02 None of the processors succeeded. 870.37/297.02 870.37/297.02 Details of failed attempt(s): 870.37/297.02 ----------------------------- 870.37/297.02 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 870.37/297.02 failed due to the following reason: 870.37/297.02 870.37/297.02 match-boundness of the problem could not be verified. 870.37/297.02 870.37/297.02 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 870.37/297.02 failed due to the following reason: 870.37/297.02 870.37/297.02 match-boundness of the problem could not be verified. 870.37/297.02 870.37/297.02 870.37/297.02 870.37/297.02 3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to 870.37/297.02 the following reason: 870.37/297.02 870.37/297.02 We add the following weak dependency pairs: 870.37/297.02 870.37/297.02 Strict DPs: 870.37/297.02 { circ^#(s, id()) -> c_1(s) 870.37/297.02 , circ^#(circ(s, t), u) -> c_2(circ^#(s, circ(t, u))) 870.37/297.02 , circ^#(cons(a, s), t) -> c_3(msubst^#(a, t), circ^#(s, t)) 870.37/297.02 , circ^#(cons(lift(), s), circ(cons(lift(), t), u)) -> 870.37/297.02 c_4(circ^#(cons(lift(), circ(s, t)), u)) 870.37/297.02 , circ^#(cons(lift(), s), cons(a, t)) -> c_5(a, circ^#(s, t)) 870.37/297.02 , circ^#(cons(lift(), s), cons(lift(), t)) -> c_6(circ^#(s, t)) 870.37/297.02 , circ^#(id(), s) -> c_7(s) 870.37/297.02 , msubst^#(a, id()) -> c_8(a) 870.37/297.02 , msubst^#(msubst(a, s), t) -> c_9(msubst^#(a, circ(s, t))) 870.37/297.02 , subst^#(a, id()) -> c_10(a) } 870.37/297.02 870.37/297.02 and mark the set of starting terms. 870.37/297.02 870.37/297.02 We are left with following problem, upon which TcT provides the 870.37/297.02 certificate MAYBE. 870.37/297.02 870.37/297.02 Strict DPs: 870.37/297.02 { circ^#(s, id()) -> c_1(s) 870.37/297.02 , circ^#(circ(s, t), u) -> c_2(circ^#(s, circ(t, u))) 870.37/297.02 , circ^#(cons(a, s), t) -> c_3(msubst^#(a, t), circ^#(s, t)) 870.37/297.02 , circ^#(cons(lift(), s), circ(cons(lift(), t), u)) -> 870.37/297.02 c_4(circ^#(cons(lift(), circ(s, t)), u)) 870.37/297.02 , circ^#(cons(lift(), s), cons(a, t)) -> c_5(a, circ^#(s, t)) 870.37/297.02 , circ^#(cons(lift(), s), cons(lift(), t)) -> c_6(circ^#(s, t)) 870.37/297.02 , circ^#(id(), s) -> c_7(s) 870.37/297.02 , msubst^#(a, id()) -> c_8(a) 870.37/297.02 , msubst^#(msubst(a, s), t) -> c_9(msubst^#(a, circ(s, t))) 870.37/297.02 , subst^#(a, id()) -> c_10(a) } 870.37/297.02 Strict Trs: 870.37/297.02 { circ(s, id()) -> s 870.37/297.02 , circ(circ(s, t), u) -> circ(s, circ(t, u)) 870.37/297.02 , circ(cons(a, s), t) -> cons(msubst(a, t), circ(s, t)) 870.37/297.03 , circ(cons(lift(), s), circ(cons(lift(), t), u)) -> 870.37/297.03 circ(cons(lift(), circ(s, t)), u) 870.37/297.03 , circ(cons(lift(), s), cons(a, t)) -> cons(a, circ(s, t)) 870.37/297.03 , circ(cons(lift(), s), cons(lift(), t)) -> 870.37/297.03 cons(lift(), circ(s, t)) 870.37/297.03 , circ(id(), s) -> s 870.37/297.03 , msubst(a, id()) -> a 870.37/297.03 , msubst(msubst(a, s), t) -> msubst(a, circ(s, t)) 870.37/297.03 , subst(a, id()) -> a } 870.37/297.03 Obligation: 870.37/297.03 runtime complexity 870.37/297.03 Answer: 870.37/297.03 MAYBE 870.37/297.03 870.37/297.03 Empty strict component of the problem is NOT empty. 870.37/297.03 870.37/297.03 870.37/297.03 Arrrr.. 870.79/297.42 EOF