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


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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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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 :- thief(john).
thief(john).
thief(X) :- ','(thief(X), !).


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)",
                "(thief (john))"
            ],
            [
                "(thief (john))",
                null
            ],
            [
                "(thief X)",
                "(',' (thief X) (!))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "55": {
                "goal": [
                    {
                        "clause": -1,
                        "scope": -1,
                        "term": "(!_2)"
                    },
                    {
                        "clause": 2,
                        "scope": 3,
                        "term": "(',' (thief (john)) (!_2))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "56": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(true)"
                }],
                "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": []
                }
            },
            "57": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "5": {
                "goal": [{
                    "clause": 0,
                    "scope": 1,
                    "term": "(p)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "49": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(thief (john))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "50": {
                "goal": [
                    {
                        "clause": 1,
                        "scope": 2,
                        "term": "(thief (john))"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(thief (john))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "type": "Nodes",
            "51": {
                "goal": [
                    {
                        "clause": -1,
                        "scope": -1,
                        "term": "(true)"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(thief (john))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "52": {
                "goal": [{
                    "clause": 2,
                    "scope": 2,
                    "term": "(thief (john))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "53": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(',' (thief (john)) (!_2))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "54": {
                "goal": [
                    {
                        "clause": 1,
                        "scope": 3,
                        "term": "(',' (thief (john)) (!_2))"
                    },
                    {
                        "clause": 2,
                        "scope": 3,
                        "term": "(',' (thief (john)) (!_2))"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            }
        },
        "edges": [
            {
                "from": 2,
                "to": 5,
                "label": "CASE"
            },
            {
                "from": 5,
                "to": 49,
                "label": "ONLY EVAL with clause\np :- thief(john).\nand substitution"
            },
            {
                "from": 49,
                "to": 50,
                "label": "CASE"
            },
            {
                "from": 50,
                "to": 51,
                "label": "ONLY EVAL with clause\nthief(john).\nand substitution"
            },
            {
                "from": 51,
                "to": 52,
                "label": "SUCCESS"
            },
            {
                "from": 52,
                "to": 53,
                "label": "ONLY EVAL with clause\nthief(X3) :- ','(thief(X3), !_2).\nand substitutionX3 -> john"
            },
            {
                "from": 53,
                "to": 54,
                "label": "CASE"
            },
            {
                "from": 54,
                "to": 55,
                "label": "ONLY EVAL with clause\nthief(john).\nand substitution"
            },
            {
                "from": 55,
                "to": 56,
                "label": "CUT"
            },
            {
                "from": 56,
                "to": 57,
                "label": "SUCCESS"
            }
        ],
        "type": "Graph"
    }
}

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

(2)
TRUE