TRS Standard pair #615296505

details

property	value
status	complete
benchmark	parting03_minsort.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n118.star.cs.uiowa.edu
space	AProVE_08

run statistics

property	value
solver	AProVE23
configuration	standard
runtime (wallclock)	4.69343996048 seconds
cpu usage	12.84950946
max memory	9.9332096E8

stage attributes

key	value
output-size	113269
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# AProVE Commit ID: 363435ff5b19173ec8a83b45cfdec073678dabcc jan-christoph 20230815 unpublished


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

(0) QTRS
(1) Overlay + Local Confluence [EQUIVALENT, 17 ms]
(2) QTRS
(3) DependencyPairsProof [EQUIVALENT, 0 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) Induction-Processor [SOUND, 474 ms]
        (41) AND
            (42) QDP
                (43) PisEmptyProof [EQUIVALENT, 0 ms]
                (44) YES
            (45) QTRS
                (46) Overlay + Local Confluence [EQUIVALENT, 0 ms]
                (47) QTRS
                (48) DependencyPairsProof [EQUIVALENT, 0 ms]
                (49) QDP
                (50) DependencyGraphProof [EQUIVALENT, 0 ms]
                (51) AND
                    (52) QDP
                        (53) UsableRulesProof [EQUIVALENT, 0 ms]
                        (54) QDP
                        (55) QReductionProof [EQUIVALENT, 0 ms]
                        (56) QDP
                        (57) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (58) YES
                    (59) QDP
                        (60) UsableRulesProof [EQUIVALENT, 0 ms]
                        (61) QDP
                        (62) QReductionProof [EQUIVALENT, 0 ms]
                        (63) QDP
                        (64) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (65) YES
                    (66) QDP
                        (67) UsableRulesProof [EQUIVALENT, 0 ms]
                        (68) QDP
                        (69) QReductionProof [EQUIVALENT, 0 ms]
                        (70) QDP
                        (71) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (72) YES
                    (73) QDP
                        (74) UsableRulesProof [EQUIVALENT, 0 ms]
                        (75) QDP
                        (76) QReductionProof [EQUIVALENT, 0 ms]
                        (77) QDP
                        (78) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (79) YES
                    (80) QDP
                        (81) UsableRulesProof [EQUIVALENT, 0 ms]
                        (82) QDP
                        (83) QReductionProof [EQUIVALENT, 0 ms]
                        (84) QDP
                        (85) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (86) YES

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