MAYBE 755.80/297.13 MAYBE 755.80/297.13 755.80/297.13 We are left with following problem, upon which TcT provides the 755.80/297.13 certificate MAYBE. 755.80/297.13 755.80/297.13 Strict Trs: 755.80/297.13 { eq(0(), 0()) -> true() 755.80/297.13 , eq(0(), s(x)) -> false() 755.80/297.13 , eq(s(x), 0()) -> false() 755.80/297.13 , eq(s(x), s(y)) -> eq(x, y) 755.80/297.13 , le(0(), y) -> true() 755.80/297.13 , le(s(x), 0()) -> false() 755.80/297.13 , le(s(x), s(y)) -> le(x, y) 755.80/297.13 , app(nil(), y) -> y 755.80/297.13 , app(add(n, x), y) -> add(n, app(x, y)) 755.80/297.13 , min(nil()) -> 0() 755.80/297.13 , min(add(n, x)) -> minIter(add(n, x), add(n, x), 0()) 755.80/297.13 , minIter(nil(), add(n, y), m) -> 755.80/297.13 minIter(add(n, y), add(n, y), s(m)) 755.80/297.13 , minIter(add(n, x), y, m) -> if_min(le(n, m), x, y, m) 755.80/297.13 , if_min(true(), x, y, m) -> m 755.80/297.13 , if_min(false(), x, y, m) -> minIter(x, y, m) 755.80/297.13 , head(add(n, x)) -> n 755.80/297.13 , tail(nil()) -> nil() 755.80/297.13 , tail(add(n, x)) -> x 755.80/297.13 , null(nil()) -> true() 755.80/297.13 , null(add(n, x)) -> false() 755.80/297.13 , rm(n, nil()) -> nil() 755.80/297.13 , rm(n, add(m, x)) -> if_rm(eq(n, m), n, add(m, x)) 755.80/297.13 , if_rm(true(), n, add(m, x)) -> rm(n, x) 755.80/297.13 , if_rm(false(), n, add(m, x)) -> add(m, rm(n, x)) 755.80/297.13 , minsort(nil(), nil()) -> nil() 755.80/297.13 , minsort(add(n, x), y) -> 755.80/297.13 if_minsort(eq(n, min(add(n, x))), add(n, x), y) 755.80/297.13 , if_minsort(true(), add(n, x), y) -> 755.80/297.13 add(n, minsort(app(rm(n, x), y), nil())) 755.80/297.13 , if_minsort(false(), add(n, x), y) -> minsort(x, add(n, y)) } 755.80/297.13 Obligation: 755.80/297.13 innermost runtime complexity 755.80/297.13 Answer: 755.80/297.13 MAYBE 755.80/297.13 755.80/297.13 None of the processors succeeded. 755.80/297.13 755.80/297.13 Details of failed attempt(s): 755.80/297.13 ----------------------------- 755.80/297.13 1) 'empty' failed due to the following reason: 755.80/297.13 755.80/297.13 Empty strict component of the problem is NOT empty. 755.80/297.13 755.80/297.13 2) 'Best' failed due to the following reason: 755.80/297.13 755.80/297.13 None of the processors succeeded. 755.80/297.13 755.80/297.13 Details of failed attempt(s): 755.80/297.13 ----------------------------- 755.80/297.13 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 755.80/297.13 following reason: 755.80/297.13 755.80/297.13 Computation stopped due to timeout after 297.0 seconds. 755.80/297.13 755.80/297.13 2) 'Best' failed due to the following reason: 755.80/297.13 755.80/297.13 None of the processors succeeded. 755.80/297.13 755.80/297.13 Details of failed attempt(s): 755.80/297.13 ----------------------------- 755.80/297.13 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 755.80/297.13 seconds)' failed due to the following reason: 755.80/297.13 755.80/297.13 Computation stopped due to timeout after 148.0 seconds. 755.80/297.13 755.80/297.13 2) 'Best' failed due to the following reason: 755.80/297.13 755.80/297.13 None of the processors succeeded. 755.80/297.13 755.80/297.13 Details of failed attempt(s): 755.80/297.13 ----------------------------- 755.80/297.13 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 755.80/297.13 to the following reason: 755.80/297.13 755.80/297.13 The input cannot be shown compatible 755.80/297.13 755.80/297.13 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 755.80/297.13 following reason: 755.80/297.13 755.80/297.13 The input cannot be shown compatible 755.80/297.13 755.80/297.13 755.80/297.13 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 755.80/297.13 failed due to the following reason: 755.80/297.13 755.80/297.13 None of the processors succeeded. 755.80/297.13 755.80/297.13 Details of failed attempt(s): 755.80/297.13 ----------------------------- 755.80/297.13 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 755.80/297.13 failed due to the following reason: 755.80/297.13 755.80/297.13 match-boundness of the problem could not be verified. 755.80/297.13 755.80/297.13 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 755.80/297.13 failed due to the following reason: 755.80/297.13 755.80/297.13 match-boundness of the problem could not be verified. 755.80/297.13 755.80/297.13 755.80/297.13 755.80/297.13 755.80/297.13 755.80/297.13 Arrrr.. 755.80/297.16 EOF