MAYBE 771.72/297.13 MAYBE 771.72/297.13 771.72/297.13 We are left with following problem, upon which TcT provides the 771.72/297.13 certificate MAYBE. 771.72/297.13 771.72/297.13 Strict Trs: 771.72/297.13 { active(primes()) -> mark(sieve(from(s(s(0()))))) 771.72/297.13 , active(sieve(X)) -> sieve(active(X)) 771.72/297.13 , active(sieve(cons(X, Y))) -> mark(cons(X, filter(X, sieve(Y)))) 771.72/297.13 , active(from(X)) -> mark(cons(X, from(s(X)))) 771.72/297.13 , active(from(X)) -> from(active(X)) 771.72/297.13 , active(s(X)) -> s(active(X)) 771.72/297.13 , active(cons(X1, X2)) -> cons(active(X1), X2) 771.72/297.13 , active(head(X)) -> head(active(X)) 771.72/297.13 , active(head(cons(X, Y))) -> mark(X) 771.72/297.13 , active(tail(X)) -> tail(active(X)) 771.72/297.13 , active(tail(cons(X, Y))) -> mark(Y) 771.72/297.13 , active(if(X1, X2, X3)) -> if(active(X1), X2, X3) 771.72/297.13 , active(if(true(), X, Y)) -> mark(X) 771.72/297.13 , active(if(false(), X, Y)) -> mark(Y) 771.72/297.13 , active(filter(X1, X2)) -> filter(X1, active(X2)) 771.72/297.13 , active(filter(X1, X2)) -> filter(active(X1), X2) 771.72/297.13 , active(filter(s(s(X)), cons(Y, Z))) -> 771.72/297.13 mark(if(divides(s(s(X)), Y), 771.72/297.13 filter(s(s(X)), Z), 771.72/297.13 cons(Y, filter(X, sieve(Y))))) 771.72/297.13 , active(divides(X1, X2)) -> divides(X1, active(X2)) 771.72/297.13 , active(divides(X1, X2)) -> divides(active(X1), X2) 771.72/297.13 , sieve(mark(X)) -> mark(sieve(X)) 771.72/297.13 , sieve(ok(X)) -> ok(sieve(X)) 771.72/297.13 , from(mark(X)) -> mark(from(X)) 771.72/297.13 , from(ok(X)) -> ok(from(X)) 771.72/297.13 , s(mark(X)) -> mark(s(X)) 771.72/297.13 , s(ok(X)) -> ok(s(X)) 771.72/297.13 , cons(mark(X1), X2) -> mark(cons(X1, X2)) 771.72/297.13 , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) 771.72/297.13 , head(mark(X)) -> mark(head(X)) 771.72/297.13 , head(ok(X)) -> ok(head(X)) 771.72/297.13 , tail(mark(X)) -> mark(tail(X)) 771.72/297.13 , tail(ok(X)) -> ok(tail(X)) 771.72/297.13 , if(mark(X1), X2, X3) -> mark(if(X1, X2, X3)) 771.72/297.13 , if(ok(X1), ok(X2), ok(X3)) -> ok(if(X1, X2, X3)) 771.72/297.13 , filter(X1, mark(X2)) -> mark(filter(X1, X2)) 771.72/297.13 , filter(mark(X1), X2) -> mark(filter(X1, X2)) 771.72/297.13 , filter(ok(X1), ok(X2)) -> ok(filter(X1, X2)) 771.72/297.13 , divides(X1, mark(X2)) -> mark(divides(X1, X2)) 771.72/297.13 , divides(mark(X1), X2) -> mark(divides(X1, X2)) 771.72/297.13 , divides(ok(X1), ok(X2)) -> ok(divides(X1, X2)) 771.72/297.13 , proper(primes()) -> ok(primes()) 771.72/297.13 , proper(sieve(X)) -> sieve(proper(X)) 771.72/297.13 , proper(from(X)) -> from(proper(X)) 771.72/297.13 , proper(s(X)) -> s(proper(X)) 771.72/297.13 , proper(0()) -> ok(0()) 771.72/297.13 , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) 771.72/297.13 , proper(head(X)) -> head(proper(X)) 771.72/297.13 , proper(tail(X)) -> tail(proper(X)) 771.72/297.13 , proper(if(X1, X2, X3)) -> if(proper(X1), proper(X2), proper(X3)) 771.72/297.13 , proper(true()) -> ok(true()) 771.72/297.13 , proper(false()) -> ok(false()) 771.72/297.13 , proper(filter(X1, X2)) -> filter(proper(X1), proper(X2)) 771.72/297.13 , proper(divides(X1, X2)) -> divides(proper(X1), proper(X2)) 771.72/297.13 , top(mark(X)) -> top(proper(X)) 771.72/297.13 , top(ok(X)) -> top(active(X)) } 771.72/297.13 Obligation: 771.72/297.13 innermost runtime complexity 771.72/297.13 Answer: 771.72/297.13 MAYBE 771.72/297.13 771.72/297.13 None of the processors succeeded. 771.72/297.13 771.72/297.13 Details of failed attempt(s): 771.72/297.13 ----------------------------- 771.72/297.13 1) 'empty' failed due to the following reason: 771.72/297.13 771.72/297.13 Empty strict component of the problem is NOT empty. 771.72/297.13 771.72/297.13 2) 'Best' failed due to the following reason: 771.72/297.13 771.72/297.13 None of the processors succeeded. 771.72/297.13 771.72/297.13 Details of failed attempt(s): 771.72/297.13 ----------------------------- 771.72/297.13 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 771.72/297.13 following reason: 771.72/297.13 771.72/297.13 Computation stopped due to timeout after 297.0 seconds. 771.72/297.13 771.72/297.13 2) 'Best' failed due to the following reason: 771.72/297.13 771.72/297.13 None of the processors succeeded. 771.72/297.13 771.72/297.13 Details of failed attempt(s): 771.72/297.13 ----------------------------- 771.72/297.13 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 771.72/297.13 seconds)' failed due to the following reason: 771.72/297.13 771.72/297.13 Computation stopped due to timeout after 148.0 seconds. 771.72/297.13 771.72/297.13 2) 'Best' failed due to the following reason: 771.72/297.13 771.72/297.13 None of the processors succeeded. 771.72/297.13 771.72/297.13 Details of failed attempt(s): 771.72/297.13 ----------------------------- 771.72/297.13 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 771.72/297.13 following reason: 771.72/297.13 771.72/297.13 The input cannot be shown compatible 771.72/297.13 771.72/297.13 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 771.72/297.13 to the following reason: 771.72/297.13 771.72/297.13 The input cannot be shown compatible 771.72/297.13 771.72/297.13 771.72/297.13 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 771.72/297.13 failed due to the following reason: 771.72/297.13 771.72/297.13 None of the processors succeeded. 771.72/297.13 771.72/297.13 Details of failed attempt(s): 771.72/297.13 ----------------------------- 771.72/297.13 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 771.72/297.13 failed due to the following reason: 771.72/297.13 771.72/297.13 match-boundness of the problem could not be verified. 771.72/297.13 771.72/297.13 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 771.72/297.13 failed due to the following reason: 771.72/297.13 771.72/297.13 match-boundness of the problem could not be verified. 771.72/297.13 771.72/297.13 771.72/297.13 771.72/297.13 771.72/297.13 771.72/297.13 Arrrr.. 771.82/297.20 EOF