TRS Standard pair #615296512

details

property	value
status	complete
benchmark	parting04_maxsort_h.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n155.star.cs.uiowa.edu
space	AProVE_08

run statistics

property	value
solver	AProVE23
configuration	standard
runtime (wallclock)	6.60294914246 seconds
cpu usage	19.244518269
max memory	1.239035904E9

stage attributes

key	value
output-size	139441
starexec-result	"YES"

output

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


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


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 363435ff5b19173ec8a83b45cfdec073678dabcc jan-christoph 20230815 unpublished


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

(0) QTRS
(1) Overlay + Local Confluence [EQUIVALENT, 0 ms]
(2) QTRS
(3) DependencyPairsProof [EQUIVALENT, 31 ms]
(4) QDP
(5) DependencyGraphProof [EQUIVALENT, 0 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) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (27) YES
    (28) QDP
        (29) UsableRulesProof [EQUIVALENT, 0 ms]
        (30) QDP
        (31) QReductionProof [EQUIVALENT, 0 ms]
        (32) QDP
        (33) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (34) YES
    (35) QDP
        (36) UsableRulesProof [EQUIVALENT, 0 ms]
        (37) QDP
        (38) QReductionProof [EQUIVALENT, 0 ms]
        (39) QDP
        (40) QDPOrderProof [EQUIVALENT, 8 ms]
        (41) QDP
        (42) PisEmptyProof [EQUIVALENT, 0 ms]
        (43) YES
    (44) QDP
        (45) UsableRulesProof [EQUIVALENT, 0 ms]
        (46) QDP
        (47) QReductionProof [EQUIVALENT, 0 ms]
        (48) QDP
        (49) Induction-Processor [SOUND, 88 ms]
        (50) AND
            (51) QDP
                (52) PisEmptyProof [EQUIVALENT, 0 ms]
                (53) YES
            (54) QTRS
                (55) Overlay + Local Confluence [EQUIVALENT, 0 ms]
                (56) QTRS
                (57) DependencyPairsProof [EQUIVALENT, 0 ms]
                (58) QDP
                (59) DependencyGraphProof [EQUIVALENT, 0 ms]
                (60) AND
                    (61) QDP
                        (62) UsableRulesProof [EQUIVALENT, 0 ms]
                        (63) QDP
                        (64) QReductionProof [EQUIVALENT, 0 ms]
                        (65) QDP
                        (66) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (67) YES
                    (68) QDP
                        (69) UsableRulesProof [EQUIVALENT, 0 ms]
                        (70) QDP
                        (71) QReductionProof [EQUIVALENT, 0 ms]
                        (72) QDP
                        (73) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (74) YES
                    (75) QDP
                        (76) UsableRulesProof [EQUIVALENT, 0 ms]
                        (77) QDP
                        (78) QReductionProof [EQUIVALENT, 0 ms]
                        (79) QDP
                        (80) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (81) YES
                    (82) QDP
                        (83) UsableRulesProof [EQUIVALENT, 0 ms]
                        (84) QDP
                        (85) QReductionProof [EQUIVALENT, 0 ms]
                        (86) QDP

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