TRS Standard pair #487066803

details

property	value
status	complete
benchmark	minsort.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	AProVE_09_Inductive

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.30195 seconds
cpu usage	16.2719
user time	15.0274
system time	1.24444
max virtual memory	2.1026708E7
max residence set size	2889060.0

stage attributes

key	value
starexec-result	YES

output

YES
proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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) Overlay + Local Confluence [EQUIVALENT, 0 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) QDPOrderProof [EQUIVALENT, 27 ms]
        (34) QDP
        (35) DependencyGraphProof [EQUIVALENT, 0 ms]
        (36) TRUE
    (37) QDP
        (38) UsableRulesProof [EQUIVALENT, 0 ms]
        (39) QDP
        (40) QReductionProof [EQUIVALENT, 0 ms]
        (41) QDP
        (42) Induction-Processor [SOUND, 81 ms]
        (43) AND
            (44) QDP
                (45) PisEmptyProof [EQUIVALENT, 0 ms]
                (46) YES
            (47) QTRS
                (48) Overlay + Local Confluence [EQUIVALENT, 0 ms]
                (49) QTRS
                (50) DependencyPairsProof [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) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (60) YES
                    (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, 1 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
                        (87) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                        (88) YES
                    (89) QDP
                        (90) UsableRulesProof [EQUIVALENT, 0 ms]
                        (91) QDP
                        (92) QReductionProof [EQUIVALENT, 0 ms]

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actions all output return to TRS Standard