details

property	value
status	complete
benchmark	4.15.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	291.563 seconds
cpu usage	319.609
user time	316.992
system time	2.61686
max virtual memory	1.8914384E7
max residence set size	5210132.0

stage attributes

key	value
starexec-result	WORST_CASE(?, O(n^2))

output

WORST_CASE(?, O(n^2)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^2). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 41 ms] (4) CpxRelTRS (5) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (6) CpxRelTRS (7) RcToIrcProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxWeightedTrs (11) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxWeightedTrs (13) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (14) CpxTypedWeightedTrs (15) CompletionProof [UPPER BOUND(ID), 0 ms] (16) CpxTypedWeightedCompleteTrs (17) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxTypedWeightedCompleteTrs (19) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (20) CpxRNTS (21) InliningProof [UPPER BOUND(ID), 230 ms] (22) CpxRNTS (23) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxRNTS (25) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 3 ms] (26) CpxRNTS (27) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (28) CpxRNTS (29) IntTrsBoundProof [UPPER BOUND(ID), 189 ms] (30) CpxRNTS (31) IntTrsBoundProof [UPPER BOUND(ID), 55 ms] (32) CpxRNTS (33) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (34) CpxRNTS (35) IntTrsBoundProof [UPPER BOUND(ID), 865 ms] (36) CpxRNTS (37) IntTrsBoundProof [UPPER BOUND(ID), 180 ms] (38) CpxRNTS (39) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) IntTrsBoundProof [UPPER BOUND(ID), 3396 ms] (42) CpxRNTS (43) IntTrsBoundProof [UPPER BOUND(ID), 2398 ms] (44) CpxRNTS (45) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) IntTrsBoundProof [UPPER BOUND(ID), 966 ms] (48) CpxRNTS (49) IntTrsBoundProof [UPPER BOUND(ID), 436 ms] (50) CpxRNTS (51) ResultPropagationProof [UPPER BOUND(ID), 0 ms] (52) CpxRNTS (53) IntTrsBoundProof [UPPER BOUND(ID), 948 ms] (54) CpxRNTS (55) IntTrsBoundProof [UPPER BOUND(ID), 574 ms] (56) CpxRNTS (57) FinalProof [FINISHED, 0 ms] (58) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, n^2). The TRS R consists of the following rules: +(-(x, y), z) -> -(+(x, z), y) -(+(x, y), y) -> x S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(cons_+(x_1, x_2)) -> +(encArg(x_1), encArg(x_2)) encArg(cons_-(x_1, x_2)) -> -(encArg(x_1), encArg(x_2)) encode_+(x_1, x_2) -> +(encArg(x_1), encArg(x_2)) encode_-(x_1, x_2) -> -(encArg(x_1), encArg(x_2)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, n^2). popout

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actions

all output return to Derivational Complexity: TRS