Logic Progr 19030 pair #381919641

details

property	value
status	complete
benchmark	minimum-fb.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	BCGGV05

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.36372709274 seconds
cpu usage	6.191002863
max memory	7.6834816E8

stage attributes

key	value
output-size	55908
starexec-result	MAYBE

output

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


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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Left Termination of the query pattern

minimum(a,g)

w.r.t. the given Prolog program could not be shown:

(0) Prolog
(1) PrologToTRSTransformerProof [SOUND, 0 ms]
(2) QTRS
    (3) DependencyPairsProof [EQUIVALENT, 0 ms]
    (4) QDP
    (5) DependencyGraphProof [EQUIVALENT, 0 ms]
    (6) QDP
    (7) MNOCProof [EQUIVALENT, 0 ms]
    (8) QDP
    (9) UsableRulesProof [EQUIVALENT, 0 ms]
    (10) QDP
    (11) QReductionProof [EQUIVALENT, 0 ms]
    (12) QDP
(13) PrologToPiTRSProof [SOUND, 0 ms]
(14) PiTRS
    (15) DependencyPairsProof [EQUIVALENT, 0 ms]
    (16) PiDP
    (17) DependencyGraphProof [EQUIVALENT, 0 ms]
    (18) PiDP
    (19) UsableRulesProof [EQUIVALENT, 0 ms]
    (20) PiDP
    (21) PiDPToQDPProof [SOUND, 0 ms]
    (22) QDP
(23) PrologToPiTRSProof [SOUND, 0 ms]
(24) PiTRS
    (25) DependencyPairsProof [EQUIVALENT, 0 ms]
    (26) PiDP
    (27) DependencyGraphProof [EQUIVALENT, 0 ms]
    (28) PiDP
    (29) UsableRulesProof [EQUIVALENT, 0 ms]
    (30) PiDP
    (31) PiDPToQDPProof [SOUND, 0 ms]
    (32) QDP
(33) PrologToDTProblemTransformerProof [SOUND, 0 ms]
(34) TRIPLES
    (35) TriplesToPiDPProof [SOUND, 0 ms]
    (36) PiDP
    (37) DependencyGraphProof [EQUIVALENT, 0 ms]
    (38) PiDP
    (39) PiDPToQDPProof [SOUND, 0 ms]
    (40) QDP
(41) PrologToIRSwTTransformerProof [SOUND, 0 ms]
(42) IRSwT
    (43) IRSwTSimpleDependencyGraphProof [EQUIVALENT, 0 ms]
    (44) IRSwT
    (45) IntTRSCompressionProof [EQUIVALENT, 23 ms]
    (46) IRSwT
    (47) IRSFormatTransformerProof [EQUIVALENT, 1 ms]
    (48) IRSwT
    (49) IRSwTTerminationDigraphProof [EQUIVALENT, 0 ms]
    (50) IRSwT
    (51) FilterProof [EQUIVALENT, 3 ms]
    (52) IntTRS
    (53) IntTRSPeriodicNontermProof [COMPLETE, 0 ms]
    (54) NO


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

(0)
Obligation:
Clauses:

minimum(tree(X, void, X1), X).
minimum(tree(X2, Left, X3), X) :- minimum(Left, X).


Query: minimum(a,g)
----------------------------------------

(1) PrologToTRSTransformerProof (SOUND)
Transformed Prolog program to TRS.

{
    "root": 4,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(minimum (tree X (void) X1) X)",
                null
            ],
            [

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