MAYBE 1026.83/297.04 MAYBE 1026.83/297.04 1026.83/297.04 We are left with following problem, upon which TcT provides the 1026.83/297.04 certificate MAYBE. 1026.83/297.04 1026.83/297.04 Strict Trs: 1026.83/297.04 { active(and(X1, X2)) -> and(active(X1), X2) 1026.83/297.04 , active(and(true(), X)) -> mark(X) 1026.83/297.04 , active(and(false(), Y)) -> mark(false()) 1026.83/297.04 , active(if(X1, X2, X3)) -> if(active(X1), X2, X3) 1026.83/297.04 , active(if(true(), X, Y)) -> mark(X) 1026.83/297.04 , active(if(false(), X, Y)) -> mark(Y) 1026.83/297.04 , active(add(X1, X2)) -> add(active(X1), X2) 1026.83/297.04 , active(add(0(), X)) -> mark(X) 1026.83/297.04 , active(add(s(X), Y)) -> mark(s(add(X, Y))) 1026.83/297.04 , active(first(X1, X2)) -> first(X1, active(X2)) 1026.83/297.04 , active(first(X1, X2)) -> first(active(X1), X2) 1026.83/297.04 , active(first(0(), X)) -> mark(nil()) 1026.83/297.04 , active(first(s(X), cons(Y, Z))) -> mark(cons(Y, first(X, Z))) 1026.83/297.04 , active(from(X)) -> mark(cons(X, from(s(X)))) 1026.83/297.04 , and(mark(X1), X2) -> mark(and(X1, X2)) 1026.83/297.04 , and(ok(X1), ok(X2)) -> ok(and(X1, X2)) 1026.83/297.04 , if(mark(X1), X2, X3) -> mark(if(X1, X2, X3)) 1026.83/297.04 , if(ok(X1), ok(X2), ok(X3)) -> ok(if(X1, X2, X3)) 1026.83/297.04 , add(mark(X1), X2) -> mark(add(X1, X2)) 1026.83/297.04 , add(ok(X1), ok(X2)) -> ok(add(X1, X2)) 1026.83/297.04 , s(ok(X)) -> ok(s(X)) 1026.83/297.04 , first(X1, mark(X2)) -> mark(first(X1, X2)) 1026.83/297.04 , first(mark(X1), X2) -> mark(first(X1, X2)) 1026.83/297.04 , first(ok(X1), ok(X2)) -> ok(first(X1, X2)) 1026.83/297.04 , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) 1026.83/297.04 , from(ok(X)) -> ok(from(X)) 1026.83/297.04 , proper(and(X1, X2)) -> and(proper(X1), proper(X2)) 1026.83/297.04 , proper(true()) -> ok(true()) 1026.83/297.04 , proper(false()) -> ok(false()) 1026.83/297.04 , proper(if(X1, X2, X3)) -> if(proper(X1), proper(X2), proper(X3)) 1026.83/297.04 , proper(add(X1, X2)) -> add(proper(X1), proper(X2)) 1026.83/297.04 , proper(0()) -> ok(0()) 1026.83/297.04 , proper(s(X)) -> s(proper(X)) 1026.83/297.04 , proper(first(X1, X2)) -> first(proper(X1), proper(X2)) 1026.83/297.04 , proper(nil()) -> ok(nil()) 1026.83/297.04 , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) 1026.83/297.04 , proper(from(X)) -> from(proper(X)) 1026.83/297.04 , top(mark(X)) -> top(proper(X)) 1026.83/297.04 , top(ok(X)) -> top(active(X)) } 1026.83/297.04 Obligation: 1026.83/297.04 innermost runtime complexity 1026.83/297.04 Answer: 1026.83/297.04 MAYBE 1026.83/297.04 1026.83/297.04 None of the processors succeeded. 1026.83/297.04 1026.83/297.04 Details of failed attempt(s): 1026.83/297.04 ----------------------------- 1026.83/297.04 1) 'empty' failed due to the following reason: 1026.83/297.04 1026.83/297.04 Empty strict component of the problem is NOT empty. 1026.83/297.04 1026.83/297.04 2) 'Best' failed due to the following reason: 1026.83/297.04 1026.83/297.04 None of the processors succeeded. 1026.83/297.04 1026.83/297.04 Details of failed attempt(s): 1026.83/297.04 ----------------------------- 1026.83/297.04 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1026.83/297.04 following reason: 1026.83/297.04 1026.83/297.04 Computation stopped due to timeout after 297.0 seconds. 1026.83/297.04 1026.83/297.04 2) 'Best' failed due to the following reason: 1026.83/297.04 1026.83/297.04 None of the processors succeeded. 1026.83/297.04 1026.83/297.04 Details of failed attempt(s): 1026.83/297.04 ----------------------------- 1026.83/297.04 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1026.83/297.04 seconds)' failed due to the following reason: 1026.83/297.04 1026.83/297.04 Computation stopped due to timeout after 148.0 seconds. 1026.83/297.04 1026.83/297.04 2) 'Best' failed due to the following reason: 1026.83/297.04 1026.83/297.04 None of the processors succeeded. 1026.83/297.04 1026.83/297.04 Details of failed attempt(s): 1026.83/297.04 ----------------------------- 1026.83/297.04 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1026.83/297.04 following reason: 1026.83/297.04 1026.83/297.04 The input cannot be shown compatible 1026.83/297.04 1026.83/297.04 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1026.83/297.04 to the following reason: 1026.83/297.04 1026.83/297.04 The input cannot be shown compatible 1026.83/297.04 1026.83/297.04 1026.83/297.04 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1026.83/297.04 failed due to the following reason: 1026.83/297.04 1026.83/297.04 None of the processors succeeded. 1026.83/297.04 1026.83/297.04 Details of failed attempt(s): 1026.83/297.04 ----------------------------- 1026.83/297.04 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1026.83/297.04 failed due to the following reason: 1026.83/297.04 1026.83/297.04 match-boundness of the problem could not be verified. 1026.83/297.04 1026.83/297.04 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1026.83/297.04 failed due to the following reason: 1026.83/297.04 1026.83/297.04 match-boundness of the problem could not be verified. 1026.83/297.04 1026.83/297.04 1026.83/297.04 1026.83/297.04 1026.83/297.04 1026.83/297.04 Arrrr.. 1026.83/297.09 EOF