Logic Progr 19030 pair #381920209

details

property	value
status	complete
benchmark	plumer453b.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n069.star.cs.uiowa.edu
space	Stroeder_09

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.60724496841 seconds
cpu usage	3.5229651
max memory	2.21708288E8

stage attributes

key	value
output-size	18505
starexec-result	YES

output

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


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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Left Termination of the query pattern

f(a)

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

(0) Prolog
(1) PrologToIRSwTTransformerProof [SOUND, 0 ms]
(2) TRUE


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

(0)
Obligation:
Clauses:

f(X) :- ','(p(X), q(X)).
p(a).
p(X) :- ','(p(a), !).
q(b).


Query: f(a)
----------------------------------------

(1) PrologToIRSwTTransformerProof (SOUND)
Transformed Prolog program to IRSwT according to method in Master Thesis of A. Weinert

{
    "root": 2,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(f X)",
                "(',' (p X) (q X))"
            ],
            [
                "(p (a))",
                null
            ],
            [
                "(p X)",
                "(',' (p (a)) (!))"
            ],
            [
                "(q (b))",
                null
            ]
        ]
    },
    "graph": {
        "nodes": {
            "88": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(p T6)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "23": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(',' (p T6) (q T6))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }

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