TRS Standard pair #487072603

details

property	value
status	complete
benchmark	16.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	Beerendonk_07

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.6892 seconds
cpu usage	21.727
user time	21.0895
system time	0.63755
max virtual memory	1.857114E7
max residence set size	1022312.0

stage attributes

key	value
starexec-result	YES

output

YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

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


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

(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