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


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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Left Termination of the query pattern

p()

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

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


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

(0)
Obligation:
Clauses:

p :- ','(q, ','(r, !)).
q.
q :- q.
r.


Query: p()
----------------------------------------

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

{
    "root": 2,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(p)",
                "(',' (q) (',' (r) (!)))"
            ],
            [
                "(q)",
                null
            ],
            [
                "(q)",
                "(q)"
            ],
            [
                "(r)",
                null
            ]
        ]
    },
    "graph": {
        "nodes": {
            "44": {
                "goal": [
                    {
                        "clause": -1,
                        "scope": -1,
                        "term": "(!_1)"
                    },
                    {
                        "clause": -1,
                        "scope": 3,
                        "term": null
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(',' (q) (',' (r) (!_1)))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "2": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(p)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "47": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(true)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "37": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(',' (q) (',' (r) (!_1)))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "38": {
                "goal": [
                    {
                        "clause": 1,
                        "scope": 2,
                        "term": "(',' (q) (',' (r) (!_1)))"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(',' (q) (',' (r) (!_1)))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "9": {
                "goal": [{
                    "clause": 0,
                    "scope": 1,
                    "term": "(p)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "50": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "type": "Nodes",
            "40": {
                "goal": [
                    {
                        "clause": -1,
                        "scope": -1,
                        "term": "(',' (r) (!_1))"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(',' (q) (',' (r) (!_1)))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "42": {
                "goal": [
                    {
                        "clause": 3,
                        "scope": 3,
                        "term": "(',' (r) (!_1))"
                    },
                    {
                        "clause": -1,
                        "scope": 3,
                        "term": null
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(',' (q) (',' (r) (!_1)))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            }
        },
        "edges": [
            {
                "from": 2,
                "to": 9,
                "label": "CASE"
            },
            {
                "from": 9,
                "to": 37,
                "label": "ONLY EVAL with clause\np :- ','(q, ','(r, !_1)).\nand substitution"
            },
            {
                "from": 37,
                "to": 38,
                "label": "CASE"
            },
            {
                "from": 38,
                "to": 40,
                "label": "ONLY EVAL with clause\nq.\nand substitution"
            },
            {
                "from": 40,
                "to": 42,
                "label": "CASE"
            },
            {
                "from": 42,
                "to": 44,
                "label": "ONLY EVAL with clause\nr.\nand substitution"
            },
            {
                "from": 44,
                "to": 47,
                "label": "CUT"
            },
            {
                "from": 47,
                "to": 50,
                "label": "SUCCESS"
            }
        ],
        "type": "Graph"
    }
}

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

(2)
TRUE