MAYBE 1027.18/297.03 MAYBE 1027.18/297.03 1027.18/297.03 We are left with following problem, upon which TcT provides the 1027.18/297.03 certificate MAYBE. 1027.18/297.03 1027.18/297.03 Strict Trs: 1027.18/297.03 { eq(0(), 0()) -> true() 1027.18/297.03 , eq(0(), s(x)) -> false() 1027.18/297.03 , eq(s(x), 0()) -> false() 1027.18/297.03 , eq(s(x), s(y)) -> eq(x, y) 1027.18/297.03 , le(0(), y) -> true() 1027.18/297.03 , le(s(x), 0()) -> false() 1027.18/297.03 , le(s(x), s(y)) -> le(x, y) 1027.18/297.03 , app(nil(), y) -> y 1027.18/297.03 , app(add(n, x), y) -> add(n, app(x, y)) 1027.18/297.03 , min(add(n, nil())) -> n 1027.18/297.03 , min(add(n, add(m, x))) -> if_min(le(n, m), add(n, add(m, x))) 1027.18/297.03 , if_min(true(), add(n, add(m, x))) -> min(add(n, x)) 1027.18/297.03 , if_min(false(), add(n, add(m, x))) -> min(add(m, x)) 1027.18/297.03 , head(add(n, x)) -> n 1027.18/297.03 , tail(nil()) -> nil() 1027.18/297.03 , tail(add(n, x)) -> x 1027.18/297.03 , null(nil()) -> true() 1027.18/297.03 , null(add(n, x)) -> false() 1027.18/297.03 , rm(n, nil()) -> nil() 1027.18/297.03 , rm(n, add(m, x)) -> if_rm(eq(n, m), n, add(m, x)) 1027.18/297.03 , if_rm(true(), n, add(m, x)) -> rm(n, x) 1027.18/297.03 , if_rm(false(), n, add(m, x)) -> add(m, rm(n, x)) 1027.18/297.03 , minsort(x) -> mins(x, nil(), nil()) 1027.18/297.03 , mins(x, y, z) -> if(null(x), x, y, z) 1027.18/297.03 , if(true(), x, y, z) -> z 1027.18/297.03 , if(false(), x, y, z) -> if2(eq(head(x), min(x)), x, y, z) 1027.18/297.04 , if2(true(), x, y, z) -> 1027.18/297.04 mins(app(rm(head(x), tail(x)), y), 1027.18/297.04 nil(), 1027.18/297.04 app(z, add(head(x), nil()))) 1027.18/297.04 , if2(false(), x, y, z) -> mins(tail(x), add(head(x), y), z) } 1027.18/297.04 Obligation: 1027.18/297.04 innermost runtime complexity 1027.18/297.04 Answer: 1027.18/297.04 MAYBE 1027.18/297.04 1027.18/297.04 None of the processors succeeded. 1027.18/297.04 1027.18/297.04 Details of failed attempt(s): 1027.18/297.04 ----------------------------- 1027.18/297.04 1) 'empty' failed due to the following reason: 1027.18/297.04 1027.18/297.04 Empty strict component of the problem is NOT empty. 1027.18/297.04 1027.18/297.04 2) 'Best' failed due to the following reason: 1027.18/297.04 1027.18/297.04 None of the processors succeeded. 1027.18/297.04 1027.18/297.04 Details of failed attempt(s): 1027.18/297.04 ----------------------------- 1027.18/297.04 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1027.18/297.04 following reason: 1027.18/297.04 1027.18/297.04 Computation stopped due to timeout after 297.0 seconds. 1027.18/297.04 1027.18/297.04 2) 'Best' failed due to the following reason: 1027.18/297.04 1027.18/297.04 None of the processors succeeded. 1027.18/297.04 1027.18/297.04 Details of failed attempt(s): 1027.18/297.04 ----------------------------- 1027.18/297.04 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1027.18/297.04 seconds)' failed due to the following reason: 1027.18/297.04 1027.18/297.04 Computation stopped due to timeout after 148.0 seconds. 1027.18/297.04 1027.18/297.04 2) 'Best' failed due to the following reason: 1027.18/297.04 1027.18/297.04 None of the processors succeeded. 1027.18/297.04 1027.18/297.04 Details of failed attempt(s): 1027.18/297.04 ----------------------------- 1027.18/297.04 1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1027.18/297.04 to the following reason: 1027.18/297.04 1027.18/297.04 The input cannot be shown compatible 1027.18/297.04 1027.18/297.04 2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1027.18/297.04 following reason: 1027.18/297.04 1027.18/297.04 The input cannot be shown compatible 1027.18/297.04 1027.18/297.04 1027.18/297.04 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1027.18/297.04 failed due to the following reason: 1027.18/297.04 1027.18/297.04 None of the processors succeeded. 1027.18/297.04 1027.18/297.04 Details of failed attempt(s): 1027.18/297.04 ----------------------------- 1027.18/297.04 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1027.18/297.04 failed due to the following reason: 1027.18/297.04 1027.18/297.04 match-boundness of the problem could not be verified. 1027.18/297.04 1027.18/297.04 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1027.18/297.04 failed due to the following reason: 1027.18/297.04 1027.18/297.04 match-boundness of the problem could not be verified. 1027.18/297.04 1027.18/297.04 1027.18/297.04 1027.18/297.04 1027.18/297.04 1027.18/297.04 Arrrr.. 1027.53/297.34 EOF