MAYBE 897.21/297.13 MAYBE 897.21/297.13 897.21/297.13 We are left with following problem, upon which TcT provides the 897.21/297.13 certificate MAYBE. 897.21/297.13 897.21/297.13 Strict Trs: 897.21/297.13 { active(p(X)) -> p(active(X)) 897.21/297.13 , active(p(0())) -> mark(0()) 897.21/297.13 , active(p(s(X))) -> mark(X) 897.21/297.13 , active(s(X)) -> s(active(X)) 897.21/297.13 , active(leq(X1, X2)) -> leq(X1, active(X2)) 897.21/297.13 , active(leq(X1, X2)) -> leq(active(X1), X2) 897.21/297.13 , active(leq(0(), Y)) -> mark(true()) 897.21/297.13 , active(leq(s(X), 0())) -> mark(false()) 897.21/297.13 , active(leq(s(X), s(Y))) -> mark(leq(X, Y)) 897.21/297.13 , active(if(X1, X2, X3)) -> if(active(X1), X2, X3) 897.21/297.13 , active(if(true(), X, Y)) -> mark(X) 897.21/297.13 , active(if(false(), X, Y)) -> mark(Y) 897.21/297.13 , active(diff(X, Y)) -> mark(if(leq(X, Y), 0(), s(diff(p(X), Y)))) 897.21/297.13 , active(diff(X1, X2)) -> diff(X1, active(X2)) 897.21/297.13 , active(diff(X1, X2)) -> diff(active(X1), X2) 897.21/297.13 , p(mark(X)) -> mark(p(X)) 897.21/297.13 , p(ok(X)) -> ok(p(X)) 897.21/297.13 , s(mark(X)) -> mark(s(X)) 897.21/297.13 , s(ok(X)) -> ok(s(X)) 897.21/297.13 , leq(X1, mark(X2)) -> mark(leq(X1, X2)) 897.21/297.13 , leq(mark(X1), X2) -> mark(leq(X1, X2)) 897.21/297.13 , leq(ok(X1), ok(X2)) -> ok(leq(X1, X2)) 897.21/297.13 , if(mark(X1), X2, X3) -> mark(if(X1, X2, X3)) 897.21/297.13 , if(ok(X1), ok(X2), ok(X3)) -> ok(if(X1, X2, X3)) 897.21/297.13 , diff(X1, mark(X2)) -> mark(diff(X1, X2)) 897.21/297.13 , diff(mark(X1), X2) -> mark(diff(X1, X2)) 897.21/297.13 , diff(ok(X1), ok(X2)) -> ok(diff(X1, X2)) 897.21/297.13 , proper(p(X)) -> p(proper(X)) 897.21/297.13 , proper(0()) -> ok(0()) 897.21/297.13 , proper(s(X)) -> s(proper(X)) 897.21/297.13 , proper(leq(X1, X2)) -> leq(proper(X1), proper(X2)) 897.21/297.13 , proper(true()) -> ok(true()) 897.21/297.13 , proper(false()) -> ok(false()) 897.21/297.13 , proper(if(X1, X2, X3)) -> if(proper(X1), proper(X2), proper(X3)) 897.21/297.13 , proper(diff(X1, X2)) -> diff(proper(X1), proper(X2)) 897.21/297.13 , top(mark(X)) -> top(proper(X)) 897.21/297.13 , top(ok(X)) -> top(active(X)) } 897.21/297.13 Obligation: 897.21/297.13 innermost runtime complexity 897.21/297.13 Answer: 897.21/297.13 MAYBE 897.21/297.13 897.21/297.13 None of the processors succeeded. 897.21/297.13 897.21/297.13 Details of failed attempt(s): 897.21/297.13 ----------------------------- 897.21/297.13 1) 'empty' failed due to the following reason: 897.21/297.13 897.21/297.13 Empty strict component of the problem is NOT empty. 897.21/297.13 897.21/297.13 2) 'Best' failed due to the following reason: 897.21/297.13 897.21/297.13 None of the processors succeeded. 897.21/297.13 897.21/297.13 Details of failed attempt(s): 897.21/297.13 ----------------------------- 897.21/297.13 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 897.21/297.13 following reason: 897.21/297.13 897.21/297.13 Computation stopped due to timeout after 297.0 seconds. 897.21/297.13 897.21/297.13 2) 'Best' failed due to the following reason: 897.21/297.13 897.21/297.13 None of the processors succeeded. 897.21/297.13 897.21/297.13 Details of failed attempt(s): 897.21/297.13 ----------------------------- 897.21/297.13 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 897.21/297.13 seconds)' failed due to the following reason: 897.21/297.13 897.21/297.13 Computation stopped due to timeout after 148.0 seconds. 897.21/297.13 897.21/297.13 2) 'Best' failed due to the following reason: 897.21/297.13 897.21/297.13 None of the processors succeeded. 897.21/297.13 897.21/297.13 Details of failed attempt(s): 897.21/297.13 ----------------------------- 897.21/297.13 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 897.21/297.13 to the following reason: 897.21/297.13 897.21/297.13 The input cannot be shown compatible 897.21/297.13 897.21/297.13 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 897.21/297.13 following reason: 897.21/297.13 897.21/297.13 The input cannot be shown compatible 897.21/297.13 897.21/297.13 897.21/297.13 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 897.21/297.13 failed due to the following reason: 897.21/297.13 897.21/297.13 None of the processors succeeded. 897.21/297.13 897.21/297.13 Details of failed attempt(s): 897.21/297.13 ----------------------------- 897.21/297.13 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 897.21/297.13 failed due to the following reason: 897.21/297.13 897.21/297.13 match-boundness of the problem could not be verified. 897.21/297.13 897.21/297.13 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 897.21/297.13 failed due to the following reason: 897.21/297.13 897.21/297.13 match-boundness of the problem could not be verified. 897.21/297.13 897.21/297.13 897.21/297.13 897.21/297.13 897.21/297.13 897.21/297.13 Arrrr.. 897.47/297.35 EOF