TRS Standard pair #516961330

details

property	value
status	complete
benchmark	PEANO_nokinds_noand_iGM.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	Transformed_CSR_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	16.6500320435 seconds
cpu usage	35.242483174
max memory	1.286672384E9

stage attributes

key	value
output-size	101936
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished


Termination w.r.t. Q of the given QTRS could be proven:

(0) QTRS
(1) DependencyPairsProof [EQUIVALENT, 6 ms]
(2) QDP
(3) DependencyGraphProof [EQUIVALENT, 0 ms]
(4) AND
    (5) QDP
        (6) UsableRulesProof [EQUIVALENT, 0 ms]
        (7) QDP
        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (9) YES
    (10) QDP
        (11) UsableRulesProof [EQUIVALENT, 0 ms]
        (12) QDP
        (13) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (14) YES
    (15) QDP
        (16) UsableRulesProof [EQUIVALENT, 0 ms]
        (17) QDP
        (18) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (19) YES
    (20) QDP
        (21) UsableRulesProof [EQUIVALENT, 0 ms]
        (22) QDP
        (23) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (24) YES
    (25) QDP
        (26) UsableRulesProof [EQUIVALENT, 0 ms]
        (27) QDP
        (28) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (29) YES
    (30) QDP
        (31) UsableRulesProof [EQUIVALENT, 0 ms]
        (32) QDP
        (33) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (34) YES
    (35) QDP
        (36) UsableRulesProof [EQUIVALENT, 0 ms]
        (37) QDP
        (38) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (39) YES
    (40) QDP
        (41) UsableRulesProof [EQUIVALENT, 0 ms]
        (42) QDP
        (43) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (44) YES
    (45) QDP
        (46) UsableRulesProof [EQUIVALENT, 0 ms]
        (47) QDP
        (48) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (49) YES
    (50) QDP
        (51) QDPOrderProof [EQUIVALENT, 65 ms]
        (52) QDP
        (53) QDPOrderProof [EQUIVALENT, 320 ms]
        (54) QDP
        (55) QDPOrderProof [EQUIVALENT, 198 ms]
        (56) QDP
        (57) QDPOrderProof [EQUIVALENT, 210 ms]
        (58) QDP
        (59) QDPOrderProof [EQUIVALENT, 172 ms]
        (60) QDP
        (61) QDPOrderProof [EQUIVALENT, 149 ms]
        (62) QDP
        (63) QDPOrderProof [EQUIVALENT, 179 ms]
        (64) QDP
        (65) QDPOrderProof [EQUIVALENT, 218 ms]
        (66) QDP
        (67) QDPOrderProof [EQUIVALENT, 165 ms]
        (68) QDP
        (69) QDPOrderProof [EQUIVALENT, 94 ms]
        (70) QDP
        (71) UsableRulesProof [EQUIVALENT, 0 ms]
        (72) QDP
        (73) UsableRulesReductionPairsProof [EQUIVALENT, 1 ms]
        (74) QDP
        (75) DependencyGraphProof [EQUIVALENT, 0 ms]
        (76) QDP
        (77) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (78) YES


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(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

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job log

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actions all output return to TRS Standard