Logic Programming pair #487096150

details

property	value
status	complete
benchmark	naive_rev.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	talp_apt

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.94736 seconds
cpu usage	4.56857
user time	4.33231
system time	0.236263
max virtual memory	3.7506908E7
max residence set size	373444.0

stage attributes

key	value
starexec-result	YES

output

YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.pl
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Left Termination of the query pattern

reverse(g,a)

w.r.t. the given Prolog program could successfully be proven:

(0) Prolog
(1) PrologToDTProblemTransformerProof [SOUND, 0 ms]
(2) TRIPLES
(3) TriplesToPiDPProof [SOUND, 1 ms]
(4) PiDP
(5) DependencyGraphProof [EQUIVALENT, 0 ms]
(6) AND
    (7) PiDP
        (8) UsableRulesProof [EQUIVALENT, 0 ms]
        (9) PiDP
        (10) PiDPToQDPProof [SOUND, 0 ms]
        (11) QDP
        (12) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (13) YES
    (14) PiDP
        (15) UsableRulesProof [EQUIVALENT, 0 ms]
        (16) PiDP
        (17) PiDPToQDPProof [SOUND, 0 ms]
        (18) QDP
        (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (20) YES


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

(0)
Obligation:
Clauses:

app(.(X, Xs), Ys, .(X, Zs)) :- app(Xs, Ys, Zs).
app([], Ys, Ys).
reverse(.(X, Xs), Ys) :- ','(reverse(Xs, Zs), app(Zs, .(X, []), Ys)).
reverse([], []).


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

(1) PrologToDTProblemTransformerProof (SOUND)
Built DT problem from termination graph DT10.

{
    "root": 3,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(app (. X Xs) Ys (. X Zs))",
                "(app Xs Ys Zs)"
            ],
            [
                "(app ([]) Ys Ys)",
                null
            ],
            [
                "(reverse (. X Xs) Ys)",
                "(',' (reverse Xs Zs) (app Zs (. X ([])) Ys))"
            ],
            [
                "(reverse ([]) ([]))",
                null
            ]
        ]
    },
    "graph": {
        "nodes": {
            "191": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(app T22 (. T18 ([])) X30)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [
                        "T18",
                        "T22"
                    ],
                    "free": ["X30"],
                    "exprvars": []
                }
            },
            "192": {
                "goal": [{

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