details

property	value
status	complete
benchmark	cade15.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	GTSSK07

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.53940200806 seconds
cpu usage	3.224617734
max memory	2.09129472E8

stage attributes

key	value
output-size	6138
starexec-result	WORST_CASE(NON_POLY, ?)

output

/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). (0) CpxTRS (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (2) TRS for Loop Detection (3) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (4) BEST (5) proven lower bound (6) LowerBoundPropagationProof [FINISHED, 0 ms] (7) BOUNDS(n^1, INF) (8) TRS for Loop Detection (9) DecreasingLoopProof [FINISHED, 0 ms] (10) 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: sort(l) -> st(0, l) st(n, l) -> cond1(member(n, l), n, l) cond1(true, n, l) -> cons(n, st(s(n), l)) cond1(false, n, l) -> cond2(gt(n, max(l)), n, l) cond2(true, n, l) -> nil cond2(false, n, l) -> st(s(n), l) member(n, nil) -> false member(n, cons(m, l)) -> or(equal(n, m), member(n, l)) or(x, true) -> true or(x, false) -> x equal(0, 0) -> true equal(s(x), 0) -> false equal(0, s(y)) -> false equal(s(x), s(y)) -> equal(x, y) gt(0, v) -> false gt(s(u), 0) -> true gt(s(u), s(v)) -> gt(u, v) max(nil) -> 0 max(cons(u, l)) -> if(gt(u, max(l)), u, max(l)) if(true, u, v) -> u if(false, u, v) -> v S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (2) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). The TRS R consists of the following rules: sort(l) -> st(0, l) st(n, l) -> cond1(member(n, l), n, l) cond1(true, n, l) -> cons(n, st(s(n), l)) cond1(false, n, l) -> cond2(gt(n, max(l)), n, l) cond2(true, n, l) -> nil cond2(false, n, l) -> st(s(n), l) member(n, nil) -> false member(n, cons(m, l)) -> or(equal(n, m), member(n, l)) or(x, true) -> true or(x, false) -> x equal(0, 0) -> true equal(s(x), 0) -> false equal(0, s(y)) -> false equal(s(x), s(y)) -> equal(x, y) gt(0, v) -> false gt(s(u), 0) -> true gt(s(u), s(v)) -> gt(u, v) max(nil) -> 0 max(cons(u, l)) -> if(gt(u, max(l)), u, max(l)) if(true, u, v) -> u if(false, u, v) -> v S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- popout

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actions

all output return to Runti Compl Inner Rewri 22807