Logic Programming pair #487096240

details

property	value
status	complete
benchmark	ag01.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	SGST06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.94191 seconds
cpu usage	4.21108
user time	3.98579
system time	0.225291
max virtual memory	1.8945908E7
max residence set size	378352.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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

h(g)

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

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


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

(0)
Obligation:
Clauses:

f(c(s(X), Y)) :- f(c(X, s(Y))).
g(c(X, s(Y))) :- g(c(s(X), Y)).
h(X) :- ','(f(X), g(X)).


Query: h(g)
----------------------------------------

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

{
    "root": 1,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(f (c (s X) Y))",
                "(f (c X (s Y)))"
            ],
            [
                "(g (c X (s Y)))",
                "(g (c (s X) Y))"
            ],
            [
                "(h X)",
                "(',' (f X) (g X))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "12": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(',' (f T3) (g T3))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": ["T3"],
                    "free": [],
                    "exprvars": []
                }
            },
            "type": "Nodes",
            "140": {
                "goal": [{
                    "clause": 0,
                    "scope": 3,
                    "term": "(f (c T8 (s T9)))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},

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