TRS Outer 67415 pair #381918012

details

property	value
status	complete
benchmark	ex2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n045.star.cs.uiowa.edu
space	Mixed_outermost

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	77.0369830132 seconds
cpu usage	186.241221504
max memory	4.914176E9

stage attributes

key	value
output-size	49887
starexec-result	MAYBE

output

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


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


MAYBE
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Outermost Termination of the given OTRS could not be shown:

(0) OTRS
(1) Trivial-Transformation [SOUND, 0 ms]
(2) QTRS
    (3) DependencyPairsProof [EQUIVALENT, 0 ms]
    (4) QDP
    (5) DependencyGraphProof [EQUIVALENT, 0 ms]
    (6) QDP
    (7) UsableRulesProof [EQUIVALENT, 0 ms]
    (8) QDP
    (9) TransformationProof [EQUIVALENT, 0 ms]
    (10) QDP
    (11) TransformationProof [EQUIVALENT, 0 ms]
    (12) QDP
    (13) NonTerminationLoopProof [COMPLETE, 2 ms]
    (14) NO
(15) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms]
(16) QTRS
    (17) DependencyPairsProof [EQUIVALENT, 0 ms]
    (18) QDP
    (19) DependencyGraphProof [EQUIVALENT, 0 ms]
    (20) AND
        (21) QDP
            (22) UsableRulesProof [EQUIVALENT, 0 ms]
            (23) QDP
            (24) QReductionProof [EQUIVALENT, 0 ms]
            (25) QDP
            (26) UsableRulesReductionPairsProof [EQUIVALENT, 7 ms]
            (27) QDP
            (28) DependencyGraphProof [EQUIVALENT, 0 ms]
            (29) TRUE
        (30) QDP
            (31) UsableRulesProof [EQUIVALENT, 0 ms]
            (32) QDP
                (33) QReductionProof [EQUIVALENT, 0 ms]
                (34) QDP
                (35) TransformationProof [EQUIVALENT, 0 ms]
                (36) QDP
                (37) TransformationProof [EQUIVALENT, 0 ms]
                (38) QDP
                (39) TransformationProof [EQUIVALENT, 0 ms]
                (40) QDP
                (41) QDPOrderProof [EQUIVALENT, 14 ms]
                (42) QDP
            (43) UsableRulesProof [EQUIVALENT, 0 ms]
            (44) QDP
                (45) QReductionProof [EQUIVALENT, 0 ms]
                (46) QDP
(47) Raffelsieper-Zantema-Transformation [SOUND, 0 ms]
(48) QTRS
    (49) DependencyPairsProof [EQUIVALENT, 0 ms]
    (50) QDP
    (51) DependencyGraphProof [EQUIVALENT, 0 ms]
    (52) AND
        (53) QDP
            (54) UsableRulesProof [EQUIVALENT, 0 ms]
            (55) QDP
            (56) QDPSizeChangeProof [EQUIVALENT, 0 ms]
            (57) YES
        (58) QDP
            (59) TransformationProof [EQUIVALENT, 0 ms]
            (60) QDP
            (61) DependencyGraphProof [EQUIVALENT, 0 ms]
            (62) QDP
            (63) QDPOrderProof [EQUIVALENT, 12 ms]
            (64) QDP
            (65) QDPOrderProof [EQUIVALENT, 218 ms]
            (66) QDP


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

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

   cons(x, cons(y, z)) -> big
   inf(x) -> cons(x, inf(s(x)))



Outermost Strategy.

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

(1) Trivial-Transformation (SOUND)
We applied the Trivial transformation  to transform the outermost TRS to a standard TRS.

popout

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

job log

popout

actions all output return to TRS Outer 67415