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Runti Compl Full Rewri 10127 pair #381903207
details
property
value
status
complete
benchmark
2.16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n037.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
9.24331212044 seconds
cpu usage
29.258190018
max memory
3.986993152E9
stage attributes
key
value
output-size
27977
starexec-result
WORST_CASE(Omega(n^2), 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^2), O(n^2)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^2, n^2). (0) CpxTRS (1) RcToIrcProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (4) CpxWeightedTrs (5) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (16) CpxRNTS (17) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (20) CpxRNTS (21) IntTrsBoundProof [UPPER BOUND(ID), 381 ms] (22) CpxRNTS (23) IntTrsBoundProof [UPPER BOUND(ID), 89 ms] (24) CpxRNTS (25) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (26) CpxRNTS (27) IntTrsBoundProof [UPPER BOUND(ID), 618 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 400 ms] (30) CpxRNTS (31) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (32) CpxRNTS (33) IntTrsBoundProof [UPPER BOUND(ID), 668 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 0 ms] (36) CpxRNTS (37) FinalProof [FINISHED, 0 ms] (38) BOUNDS(1, n^2) (39) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CpxTRS (41) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (42) typed CpxTrs (43) OrderProof [LOWER BOUND(ID), 0 ms] (44) typed CpxTrs (45) RewriteLemmaProof [LOWER BOUND(ID), 305 ms] (46) BEST (47) proven lower bound (48) LowerBoundPropagationProof [FINISHED, 0 ms] (49) BOUNDS(n^1, INF) (50) typed CpxTrs (51) RewriteLemmaProof [LOWER BOUND(ID), 818 ms] (52) proven lower bound (53) LowerBoundPropagationProof [FINISHED, 0 ms] (54) BOUNDS(n^2, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^2, n^2). The TRS R consists of the following rules: f(0) -> 1 f(s(x)) -> g(x, s(x)) g(0, y) -> y g(s(x), y) -> g(x, +(y, s(x))) +(x, 0) -> x +(x, s(y)) -> s(+(x, y)) g(s(x), y) -> g(x, s(+(y, x))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) RcToIrcProof (BOTH BOUNDS(ID, ID)) Converted rc-obligation to irc-obligation. The duplicating contexts are: f(s([])) g(s([]), y) The defined contexts are:
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