details

property	value
status	complete
benchmark	thiemann36.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	292.782005072 seconds
cpu usage	1152.10741375
max memory	1.5297232896E10

stage attributes

key	value
output-size	34839
starexec-result	WORST_CASE(Omega(n^1), O(n^2))

output

/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^2)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). (0) CpxTRS (1) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxWeightedTrs (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (4) CpxTypedWeightedTrs (5) CompletionProof [UPPER BOUND(ID), 38 ms] (6) CpxTypedWeightedCompleteTrs (7) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (8) CpxRNTS (9) CompleteCoflocoProof [FINISHED, 1277 ms] (10) BOUNDS(1, n^2) (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (13) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (14) BEST (15) proven lower bound (16) LowerBoundPropagationProof [FINISHED, 0 ms] (17) BOUNDS(n^1, INF) (18) TRS for Loop Detection ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, n^2). The TRS R consists of the following rules: le(0, y) -> true le(s(x), 0) -> false le(s(x), s(y)) -> le(x, y) quot(x, 0) -> quotZeroErro quot(x, s(y)) -> quotIter(x, s(y), 0, 0, 0) quotIter(x, s(y), z, u, v) -> if(le(x, z), x, s(y), z, u, v) if(true, x, y, z, u, v) -> v if(false, x, y, z, u, v) -> if2(le(y, s(u)), x, y, s(z), s(u), v) if2(false, x, y, z, u, v) -> quotIter(x, y, z, u, v) if2(true, x, y, z, u, v) -> quotIter(x, y, z, 0, s(v)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, n^2). The TRS R consists of the following rules: le(0, y) -> true [1] le(s(x), 0) -> false [1] le(s(x), s(y)) -> le(x, y) [1] quot(x, 0) -> quotZeroErro [1] quot(x, s(y)) -> quotIter(x, s(y), 0, 0, 0) [1] quotIter(x, s(y), z, u, v) -> if(le(x, z), x, s(y), z, u, v) [1] if(true, x, y, z, u, v) -> v [1] if(false, x, y, z, u, v) -> if2(le(y, s(u)), x, y, s(z), s(u), v) [1] if2(false, x, y, z, u, v) -> quotIter(x, y, z, u, v) [1] if2(true, x, y, z, u, v) -> quotIter(x, y, z, 0, s(v)) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: le(0, y) -> true [1] le(s(x), 0) -> false [1] le(s(x), s(y)) -> le(x, y) [1] quot(x, 0) -> quotZeroErro [1] quot(x, s(y)) -> quotIter(x, s(y), 0, 0, 0) [1] quotIter(x, s(y), z, u, v) -> if(le(x, z), x, s(y), z, u, v) [1] if(true, x, y, z, u, v) -> v [1] if(false, x, y, z, u, v) -> if2(le(y, s(u)), x, y, s(z), s(u), v) [1] popout

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

job log

popout

actions

all output return to Runti Compl Inner Rewri 22807