TRS Outer 67415 pair #381918210

details

property	value
status	complete
benchmark	Ex1_Luc04b_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n058.star.cs.uiowa.edu
space	Strategy_outermost_added_08

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	73.6482899189 seconds
cpu usage	255.569869901
max memory	7.68540672E9

stage attributes

key	value
output-size	213898
starexec-result	YES

output

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


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Outermost Termination of the given OTRS could be proven:

(0) OTRS
(1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms]
(2) QTRS
(3) QTRSRRRProof [EQUIVALENT, 132 ms]
(4) QTRS
(5) QTRSRRRProof [EQUIVALENT, 112 ms]
(6) QTRS
(7) QTRSRRRProof [EQUIVALENT, 74 ms]
(8) QTRS
(9) DependencyPairsProof [EQUIVALENT, 0 ms]
(10) QDP
(11) DependencyGraphProof [EQUIVALENT, 0 ms]
(12) AND
    (13) QDP
        (14) UsableRulesProof [EQUIVALENT, 0 ms]
        (15) QDP
        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (17) YES
    (18) QDP
        (19) UsableRulesProof [EQUIVALENT, 0 ms]
        (20) QDP
        (21) TransformationProof [EQUIVALENT, 17 ms]
        (22) QDP
        (23) DependencyGraphProof [EQUIVALENT, 0 ms]
        (24) QDP
        (25) QDPOrderProof [EQUIVALENT, 40 ms]
        (26) QDP
        (27) DependencyGraphProof [EQUIVALENT, 0 ms]
        (28) QDP
        (29) QDPOrderProof [EQUIVALENT, 28 ms]
        (30) QDP
        (31) QDPOrderProof [EQUIVALENT, 23 ms]
        (32) QDP
        (33) QDPOrderProof [EQUIVALENT, 232 ms]
        (34) QDP
        (35) QDPOrderProof [EQUIVALENT, 472 ms]
        (36) QDP
        (37) QDPOrderProof [EQUIVALENT, 285 ms]
        (38) QDP
        (39) QDPOrderProof [EQUIVALENT, 291 ms]
        (40) QDP
        (41) QDPOrderProof [EQUIVALENT, 288 ms]
        (42) QDP
        (43) QDPOrderProof [EQUIVALENT, 255 ms]
        (44) QDP
        (45) QDPOrderProof [EQUIVALENT, 320 ms]
        (46) QDP
        (47) QDPOrderProof [EQUIVALENT, 243 ms]
        (48) QDP
        (49) SplitQDPProof [EQUIVALENT, 0 ms]
        (50) AND
            (51) QDP
                (52) SemLabProof [SOUND, 0 ms]
                (53) QDP
                (54) DependencyGraphProof [EQUIVALENT, 0 ms]
                (55) QDP
                (56) MRRProof [EQUIVALENT, 25 ms]
                (57) QDP
                (58) DependencyGraphProof [EQUIVALENT, 0 ms]
                (59) QDP
                (60) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms]
                (61) QDP
                (62) DependencyGraphProof [EQUIVALENT, 0 ms]
                (63) QDP
                (64) MRRProof [EQUIVALENT, 0 ms]
                (65) QDP
                (66) DependencyGraphProof [EQUIVALENT, 0 ms]
                (67) QDP
                (68) MRRProof [EQUIVALENT, 15 ms]
                (69) QDP
                (70) DependencyGraphProof [EQUIVALENT, 0 ms]
                (71) QDP
                (72) PisEmptyProof [SOUND, 0 ms]
                (73) TRUE
            (74) QDP
                (75) QDPOrderProof [EQUIVALENT, 7980 ms]
                (76) QDP
                (77) PisEmptyProof [EQUIVALENT, 0 ms]
                (78) YES


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

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job log

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actions all output return to TRS Outer 67415