Derivational Complexity: TRS pair #487103810

details

property	value
status	complete
benchmark	gkg.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	Strategy_removed_mixed_05

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	294.067 seconds
cpu usage	1112.09
user time	1100.11
system time	11.9783
max virtual memory	3.7375268E7
max residence set size	1.45925E7

stage attributes

key	value
starexec-result	KILLED

output

KILLED
proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, INF).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 173 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
    (11) RewriteLemmaProof [LOWER BOUND(ID), 2282 ms]
    (12) BOUNDS(1, INF)
(13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(14) TRS for Loop Detection
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RcToIrcProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxRelTRS
    (21) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
            (32) CpxRNTS
            (33) CpxRntsAnalysisOrderProof [BOTH BOUNDS(ID, ID), 0 ms]
            (34) CpxRNTS
            (35) ResultPropagationProof [UPPER BOUND(ID), 0 ms]
            (36) CpxRNTS
            (37) IntTrsBoundProof [UPPER BOUND(ID), 149 ms]
            (38) CpxRNTS
            (39) IntTrsBoundProof [UPPER BOUND(ID), 5 ms]
            (40) CpxRNTS
            (41) ResultPropagationProof [UPPER BOUND(ID), 0 ms]
            (42) CpxRNTS
            (43) IntTrsBoundProof [UPPER BOUND(ID), 5 ms]
            (44) CpxRNTS
            (45) IntTrsBoundProof [UPPER BOUND(ID), 3 ms]
            (46) CpxRNTS
            (47) ResultPropagationProof [UPPER BOUND(ID), 0 ms]
            (48) CpxRNTS
            (49) IntTrsBoundProof [UPPER BOUND(ID), 76 ms]
            (50) CpxRNTS
            (51) IntTrsBoundProof [UPPER BOUND(ID), 1 ms]
            (52) CpxRNTS
            (53) ResultPropagationProof [UPPER BOUND(ID), 0 ms]
            (54) CpxRNTS
            (55) IntTrsBoundProof [UPPER BOUND(ID), 662 ms]
            (56) CpxRNTS
            (57) IntTrsBoundProof [UPPER BOUND(ID), 235 ms]
            (58) CpxRNTS
        (59) CompletionProof [UPPER BOUND(ID), 0 ms]
        (60) CpxTypedWeightedCompleteTrs
            (61) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (62) CpxRNTS
    (63) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
    (64) CdtProblem
        (65) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (70) CdtProblem
        (71) CdtLeafRemovalProof [ComplexityIfPolyImplication, 1 ms]
        (72) CdtProblem
        (73) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms]
        (74) CdtProblem
        (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (76) CdtProblem
        (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (80) CdtProblem
        (81) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (82) CdtProblem
        (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (84) CdtProblem
        (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (86) CdtProblem
        (87) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 29 ms]
        (88) CdtProblem
        (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (90) CdtProblem
        (91) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (92) CdtProblem

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