MAYBE 768.61/297.16 MAYBE 768.61/297.16 768.61/297.16 We are left with following problem, upon which TcT provides the 768.61/297.16 certificate MAYBE. 768.61/297.16 768.61/297.16 Strict Trs: 768.61/297.16 { active(sel(X1, X2)) -> sel(X1, active(X2)) 768.61/297.16 , active(sel(X1, X2)) -> sel(active(X1), X2) 768.61/297.16 , active(sel(s(X), cons(Y, Z))) -> mark(sel(X, Z)) 768.61/297.16 , active(sel(0(), cons(X, Z))) -> mark(X) 768.61/297.16 , active(s(X)) -> s(active(X)) 768.61/297.16 , active(cons(X1, X2)) -> cons(active(X1), X2) 768.61/297.16 , active(first(X1, X2)) -> first(X1, active(X2)) 768.61/297.16 , active(first(X1, X2)) -> first(active(X1), X2) 768.61/297.16 , active(first(s(X), cons(Y, Z))) -> mark(cons(Y, first(X, Z))) 768.61/297.16 , active(first(0(), Z)) -> mark(nil()) 768.61/297.16 , active(from(X)) -> mark(cons(X, from(s(X)))) 768.61/297.16 , active(from(X)) -> from(active(X)) 768.61/297.16 , active(sel1(X1, X2)) -> sel1(X1, active(X2)) 768.61/297.16 , active(sel1(X1, X2)) -> sel1(active(X1), X2) 768.61/297.16 , active(sel1(s(X), cons(Y, Z))) -> mark(sel1(X, Z)) 768.61/297.16 , active(sel1(0(), cons(X, Z))) -> mark(quote(X)) 768.61/297.16 , active(quote(sel(X, Z))) -> mark(sel1(X, Z)) 768.61/297.16 , active(quote(s(X))) -> mark(s1(quote(X))) 768.61/297.16 , active(quote(0())) -> mark(01()) 768.61/297.16 , active(first1(X1, X2)) -> first1(X1, active(X2)) 768.61/297.16 , active(first1(X1, X2)) -> first1(active(X1), X2) 768.61/297.16 , active(first1(s(X), cons(Y, Z))) -> 768.61/297.16 mark(cons1(quote(Y), first1(X, Z))) 768.61/297.16 , active(first1(0(), Z)) -> mark(nil1()) 768.61/297.16 , active(cons1(X1, X2)) -> cons1(X1, active(X2)) 768.61/297.16 , active(cons1(X1, X2)) -> cons1(active(X1), X2) 768.61/297.16 , active(quote1(cons(X, Z))) -> mark(cons1(quote(X), quote1(Z))) 768.61/297.16 , active(quote1(first(X, Z))) -> mark(first1(X, Z)) 768.61/297.16 , active(quote1(nil())) -> mark(nil1()) 768.61/297.16 , active(s1(X)) -> s1(active(X)) 768.61/297.16 , active(unquote(X)) -> unquote(active(X)) 768.61/297.16 , active(unquote(01())) -> mark(0()) 768.61/297.16 , active(unquote(s1(X))) -> mark(s(unquote(X))) 768.61/297.16 , active(unquote1(X)) -> unquote1(active(X)) 768.61/297.16 , active(unquote1(nil1())) -> mark(nil()) 768.61/297.16 , active(unquote1(cons1(X, Z))) -> 768.61/297.16 mark(fcons(unquote(X), unquote1(Z))) 768.61/297.16 , active(fcons(X, Z)) -> mark(cons(X, Z)) 768.61/297.16 , active(fcons(X1, X2)) -> fcons(X1, active(X2)) 768.61/297.16 , active(fcons(X1, X2)) -> fcons(active(X1), X2) 768.61/297.16 , sel(X1, mark(X2)) -> mark(sel(X1, X2)) 768.61/297.16 , sel(mark(X1), X2) -> mark(sel(X1, X2)) 768.61/297.16 , sel(ok(X1), ok(X2)) -> ok(sel(X1, X2)) 768.61/297.16 , s(mark(X)) -> mark(s(X)) 768.61/297.16 , s(ok(X)) -> ok(s(X)) 768.61/297.16 , cons(mark(X1), X2) -> mark(cons(X1, X2)) 768.61/297.16 , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) 768.61/297.16 , first(X1, mark(X2)) -> mark(first(X1, X2)) 768.61/297.16 , first(mark(X1), X2) -> mark(first(X1, X2)) 768.61/297.16 , first(ok(X1), ok(X2)) -> ok(first(X1, X2)) 768.61/297.16 , from(mark(X)) -> mark(from(X)) 768.61/297.16 , from(ok(X)) -> ok(from(X)) 768.61/297.16 , sel1(X1, mark(X2)) -> mark(sel1(X1, X2)) 768.61/297.16 , sel1(mark(X1), X2) -> mark(sel1(X1, X2)) 768.61/297.16 , sel1(ok(X1), ok(X2)) -> ok(sel1(X1, X2)) 768.61/297.16 , quote(ok(X)) -> ok(quote(X)) 768.61/297.16 , first1(X1, mark(X2)) -> mark(first1(X1, X2)) 768.61/297.16 , first1(mark(X1), X2) -> mark(first1(X1, X2)) 768.61/297.16 , first1(ok(X1), ok(X2)) -> ok(first1(X1, X2)) 768.61/297.16 , cons1(X1, mark(X2)) -> mark(cons1(X1, X2)) 768.61/297.16 , cons1(mark(X1), X2) -> mark(cons1(X1, X2)) 768.61/297.16 , cons1(ok(X1), ok(X2)) -> ok(cons1(X1, X2)) 768.61/297.16 , quote1(ok(X)) -> ok(quote1(X)) 768.61/297.16 , s1(mark(X)) -> mark(s1(X)) 768.61/297.16 , s1(ok(X)) -> ok(s1(X)) 768.61/297.16 , unquote(mark(X)) -> mark(unquote(X)) 768.61/297.16 , unquote(ok(X)) -> ok(unquote(X)) 768.61/297.16 , unquote1(mark(X)) -> mark(unquote1(X)) 768.61/297.16 , unquote1(ok(X)) -> ok(unquote1(X)) 768.61/297.16 , fcons(X1, mark(X2)) -> mark(fcons(X1, X2)) 768.61/297.16 , fcons(mark(X1), X2) -> mark(fcons(X1, X2)) 768.61/297.16 , fcons(ok(X1), ok(X2)) -> ok(fcons(X1, X2)) 768.61/297.16 , proper(sel(X1, X2)) -> sel(proper(X1), proper(X2)) 768.61/297.16 , proper(s(X)) -> s(proper(X)) 768.61/297.16 , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) 768.61/297.16 , proper(0()) -> ok(0()) 768.61/297.16 , proper(first(X1, X2)) -> first(proper(X1), proper(X2)) 768.61/297.16 , proper(nil()) -> ok(nil()) 768.61/297.16 , proper(from(X)) -> from(proper(X)) 768.61/297.16 , proper(sel1(X1, X2)) -> sel1(proper(X1), proper(X2)) 768.61/297.16 , proper(quote(X)) -> quote(proper(X)) 768.61/297.16 , proper(first1(X1, X2)) -> first1(proper(X1), proper(X2)) 768.61/297.16 , proper(nil1()) -> ok(nil1()) 768.61/297.16 , proper(cons1(X1, X2)) -> cons1(proper(X1), proper(X2)) 768.61/297.16 , proper(01()) -> ok(01()) 768.61/297.16 , proper(quote1(X)) -> quote1(proper(X)) 768.61/297.16 , proper(s1(X)) -> s1(proper(X)) 768.61/297.16 , proper(unquote(X)) -> unquote(proper(X)) 768.61/297.16 , proper(unquote1(X)) -> unquote1(proper(X)) 768.61/297.16 , proper(fcons(X1, X2)) -> fcons(proper(X1), proper(X2)) 768.61/297.16 , top(mark(X)) -> top(proper(X)) 768.61/297.16 , top(ok(X)) -> top(active(X)) } 768.61/297.16 Obligation: 768.61/297.16 innermost runtime complexity 768.61/297.16 Answer: 768.61/297.16 MAYBE 768.61/297.16 768.61/297.16 None of the processors succeeded. 768.61/297.16 768.61/297.16 Details of failed attempt(s): 768.61/297.16 ----------------------------- 768.61/297.16 1) 'empty' failed due to the following reason: 768.61/297.16 768.61/297.16 Empty strict component of the problem is NOT empty. 768.61/297.16 768.61/297.16 2) 'Best' failed due to the following reason: 768.61/297.16 768.61/297.16 None of the processors succeeded. 768.61/297.16 768.61/297.16 Details of failed attempt(s): 768.61/297.16 ----------------------------- 768.61/297.16 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 768.61/297.16 following reason: 768.61/297.16 768.61/297.16 Computation stopped due to timeout after 297.0 seconds. 768.61/297.16 768.61/297.16 2) 'Best' failed due to the following reason: 768.61/297.16 768.61/297.16 None of the processors succeeded. 768.61/297.16 768.61/297.16 Details of failed attempt(s): 768.61/297.16 ----------------------------- 768.61/297.16 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 768.61/297.16 seconds)' failed due to the following reason: 768.61/297.16 768.61/297.16 Computation stopped due to timeout after 148.0 seconds. 768.61/297.16 768.61/297.16 2) 'Best' failed due to the following reason: 768.61/297.16 768.61/297.16 None of the processors succeeded. 768.61/297.16 768.61/297.16 Details of failed attempt(s): 768.61/297.16 ----------------------------- 768.61/297.16 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 768.61/297.16 following reason: 768.61/297.16 768.61/297.16 The input cannot be shown compatible 768.61/297.16 768.61/297.16 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 768.61/297.16 to the following reason: 768.61/297.16 768.61/297.16 The input cannot be shown compatible 768.61/297.16 768.61/297.16 768.61/297.16 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 768.61/297.16 failed due to the following reason: 768.61/297.16 768.61/297.16 None of the processors succeeded. 768.61/297.16 768.61/297.16 Details of failed attempt(s): 768.61/297.16 ----------------------------- 768.61/297.16 1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 768.61/297.16 failed due to the following reason: 768.61/297.16 768.61/297.16 match-boundness of the problem could not be verified. 768.61/297.16 768.61/297.16 2) 'Bounds with minimal-enrichment and initial automaton 'match'' 768.61/297.16 failed due to the following reason: 768.61/297.16 768.61/297.16 match-boundness of the problem could not be verified. 768.61/297.16 768.61/297.16 768.61/297.16 768.61/297.16 768.61/297.16 768.61/297.16 Arrrr.. 769.22/297.78 EOF