details

property	value
status	complete
benchmark	t004.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.61796 seconds
cpu usage	7.41208
user time	7.0287
system time	0.383385
max virtual memory	1.8279408E7
max residence set size	1096012.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (4) typed CpxTrs (5) OrderProof [LOWER BOUND(ID), 0 ms] (6) typed CpxTrs (7) RewriteLemmaProof [FINISHED, 412 ms] (8) BOUNDS(EXP, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). The TRS R consists of the following rules: f(s(x)) -> s(f(f(p(s(x))))) f(0) -> 0 p(s(x)) -> x S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). The TRS R consists of the following rules: f(s(x)) -> s(f(f(p(s(x))))) f(0') -> 0' p(s(x)) -> x S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: Innermost TRS: Rules: f(s(x)) -> s(f(f(p(s(x))))) f(0') -> 0' p(s(x)) -> x Types: f :: s:0' -> s:0' s :: s:0' -> s:0' p :: s:0' -> s:0' 0' :: s:0' hole_s:0'1_0 :: s:0' gen_s:0'2_0 :: Nat -> s:0' ---------------------------------------- (5) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: f ---------------------------------------- (6) Obligation: Innermost TRS: Rules: f(s(x)) -> s(f(f(p(s(x))))) f(0') -> 0' p(s(x)) -> x Types: f :: s:0' -> s:0' s :: s:0' -> s:0' p :: s:0' -> s:0' 0' :: s:0' hole_s:0'1_0 :: s:0' gen_s:0'2_0 :: Nat -> s:0' Generator Equations: gen_s:0'2_0(0) <=> 0' popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Runtime Complexity: TRS Innermost