MAYBE 794.36/297.12 MAYBE 794.36/297.12 794.36/297.12 We are left with following problem, upon which TcT provides the 794.36/297.12 certificate MAYBE. 794.36/297.12 794.36/297.12 Strict Trs: 794.36/297.12 { active(minus(0(), Y)) -> mark(0()) 794.36/297.12 , active(minus(s(X), s(Y))) -> mark(minus(X, Y)) 794.36/297.12 , active(s(X)) -> s(active(X)) 794.36/297.12 , active(geq(X, 0())) -> mark(true()) 794.36/297.12 , active(geq(0(), s(Y))) -> mark(false()) 794.36/297.12 , active(geq(s(X), s(Y))) -> mark(geq(X, Y)) 794.36/297.12 , active(div(X1, X2)) -> div(active(X1), X2) 794.36/297.12 , active(div(0(), s(Y))) -> mark(0()) 794.36/297.12 , active(div(s(X), s(Y))) -> 794.36/297.12 mark(if(geq(X, Y), s(div(minus(X, Y), s(Y))), 0())) 794.36/297.12 , active(if(X1, X2, X3)) -> if(active(X1), X2, X3) 794.36/297.12 , active(if(true(), X, Y)) -> mark(X) 794.36/297.12 , active(if(false(), X, Y)) -> mark(Y) 794.36/297.12 , minus(ok(X1), ok(X2)) -> ok(minus(X1, X2)) 794.36/297.12 , s(mark(X)) -> mark(s(X)) 794.36/297.12 , s(ok(X)) -> ok(s(X)) 794.36/297.12 , geq(ok(X1), ok(X2)) -> ok(geq(X1, X2)) 794.36/297.12 , div(mark(X1), X2) -> mark(div(X1, X2)) 794.36/297.12 , div(ok(X1), ok(X2)) -> ok(div(X1, X2)) 794.36/297.12 , if(mark(X1), X2, X3) -> mark(if(X1, X2, X3)) 794.36/297.12 , if(ok(X1), ok(X2), ok(X3)) -> ok(if(X1, X2, X3)) 794.36/297.12 , proper(minus(X1, X2)) -> minus(proper(X1), proper(X2)) 794.36/297.12 , proper(0()) -> ok(0()) 794.36/297.12 , proper(s(X)) -> s(proper(X)) 794.36/297.12 , proper(geq(X1, X2)) -> geq(proper(X1), proper(X2)) 794.36/297.12 , proper(true()) -> ok(true()) 794.36/297.12 , proper(false()) -> ok(false()) 794.36/297.12 , proper(div(X1, X2)) -> div(proper(X1), proper(X2)) 794.36/297.12 , proper(if(X1, X2, X3)) -> if(proper(X1), proper(X2), proper(X3)) 794.36/297.12 , top(mark(X)) -> top(proper(X)) 794.36/297.12 , top(ok(X)) -> top(active(X)) } 794.36/297.12 Obligation: 794.36/297.12 innermost runtime complexity 794.36/297.12 Answer: 794.36/297.12 MAYBE 794.36/297.12 794.36/297.12 None of the processors succeeded. 794.36/297.12 794.36/297.12 Details of failed attempt(s): 794.36/297.12 ----------------------------- 794.36/297.12 1) 'empty' failed due to the following reason: 794.36/297.12 794.36/297.12 Empty strict component of the problem is NOT empty. 794.36/297.12 794.36/297.12 2) 'Best' failed due to the following reason: 794.36/297.12 794.36/297.12 None of the processors succeeded. 794.36/297.12 794.36/297.12 Details of failed attempt(s): 794.36/297.12 ----------------------------- 794.36/297.12 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 794.36/297.12 following reason: 794.36/297.12 794.36/297.12 Computation stopped due to timeout after 297.0 seconds. 794.36/297.12 794.36/297.12 2) 'Best' failed due to the following reason: 794.36/297.12 794.36/297.12 None of the processors succeeded. 794.36/297.12 794.36/297.12 Details of failed attempt(s): 794.36/297.12 ----------------------------- 794.36/297.12 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 794.36/297.12 seconds)' failed due to the following reason: 794.36/297.12 794.36/297.12 Computation stopped due to timeout after 148.0 seconds. 794.36/297.12 794.36/297.12 2) 'Best' failed due to the following reason: 794.36/297.12 794.36/297.12 None of the processors succeeded. 794.36/297.12 794.36/297.12 Details of failed attempt(s): 794.36/297.12 ----------------------------- 794.36/297.12 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 794.36/297.12 following reason: 794.36/297.12 794.36/297.12 The input cannot be shown compatible 794.36/297.12 794.36/297.12 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 794.36/297.12 to the following reason: 794.36/297.12 794.36/297.12 The input cannot be shown compatible 794.36/297.12 794.36/297.12 794.36/297.12 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 794.36/297.12 failed due to the following reason: 794.36/297.12 794.36/297.12 None of the processors succeeded. 794.36/297.12 794.36/297.12 Details of failed attempt(s): 794.36/297.12 ----------------------------- 794.36/297.12 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 794.36/297.12 failed due to the following reason: 794.36/297.12 794.36/297.12 match-boundness of the problem could not be verified. 794.36/297.12 794.36/297.12 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 794.36/297.12 failed due to the following reason: 794.36/297.12 794.36/297.12 match-boundness of the problem could not be verified. 794.36/297.12 794.36/297.12 794.36/297.12 794.36/297.12 794.36/297.12 794.36/297.12 Arrrr.. 794.36/297.17 EOF