TRS Stand 20472 pair #381710316

details

property	value
status	complete
benchmark	aprove2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n094.star.cs.uiowa.edu
space	Secret_05_TRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.32467913628 seconds
cpu usage	9.133141272
max memory	4.6186496E8

stage attributes

key	value
output-size	35505
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


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

(0) QTRS
(1) Overlay + Local Confluence [EQUIVALENT, 14 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) TransformationProof [EQUIVALENT, 0 ms]
        (27) QDP
        (28) DependencyGraphProof [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) TransformationProof [EQUIVALENT, 0 ms]
        (45) QDP
        (46) TransformationProof [EQUIVALENT, 0 ms]
        (47) QDP
        (48) DependencyGraphProof [EQUIVALENT, 0 ms]
        (49) AND
            (50) QDP
                (51) TransformationProof [EQUIVALENT, 0 ms]
                (52) QDP
                (53) TransformationProof [EQUIVALENT, 0 ms]
                (54) QDP
                (55) QDPOrderProof [EQUIVALENT, 12 ms]
                (56) QDP
                (57) PisEmptyProof [EQUIVALENT, 0 ms]
                (58) YES
            (59) QDP
                (60) UsableRulesProof [EQUIVALENT, 0 ms]
                (61) QDP
                (62) QReductionProof [EQUIVALENT, 0 ms]
                (63) QDP
                (64) TransformationProof [EQUIVALENT, 0 ms]
                (65) QDP
                (66) UsableRulesProof [EQUIVALENT, 0 ms]
                (67) QDP
                (68) QReductionProof [EQUIVALENT, 0 ms]
                (69) QDP
                (70) TransformationProof [EQUIVALENT, 0 ms]
                (71) QDP
                (72) TransformationProof [EQUIVALENT, 0 ms]
                (73) QDP
                (74) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (75) YES


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

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

   ge(x, 0) -> true
   ge(0, s(x)) -> false

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to TRS Stand 20472