/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

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 :- r.
r :- ','(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)",
                "(r)"
            ],
            [
                "(r)",
                "(',' (q) (!))"
            ],
            [
                "(r)",
                "(q)"
            ],
            [
                "(q)",
                null
            ],
            [
                "(q)",
                "(r)"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "34": {
                "goal": [{
                    "clause": 0,
                    "scope": 1,
                    "term": "(p)"
                }],
                "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": []
                }
            },
            "35": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(r)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "58": {
                "goal": [
                    {
                        "clause": 1,
                        "scope": 2,
                        "term": "(r)"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(r)"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "59": {
                "goal": [
                    {
                        "clause": -1,
                        "scope": -1,
                        "term": "(',' (q) (!_2))"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(r)"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "60": {
                "goal": [
                    {
                        "clause": 3,
                        "scope": 3,
                        "term": "(',' (q) (!_2))"
                    },
                    {
                        "clause": 4,
                        "scope": 3,
                        "term": "(',' (q) (!_2))"
                    },
                    {
                        "clause": -1,
                        "scope": 3,
                        "term": null
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(r)"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "61": {
                "goal": [
                    {
                        "clause": -1,
                        "scope": -1,
                        "term": "(!_2)"
                    },
                    {
                        "clause": 4,
                        "scope": 3,
                        "term": "(',' (q) (!_2))"
                    },
                    {
                        "clause": -1,
                        "scope": 3,
                        "term": null
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(r)"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "type": "Nodes",
            "62": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(true)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "63": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            }
        },
        "edges": [
            {
                "from": 2,
                "to": 34,
                "label": "CASE"
            },
            {
                "from": 34,
                "to": 35,
                "label": "ONLY EVAL with clause\np :- r.\nand substitution"
            },
            {
                "from": 35,
                "to": 58,
                "label": "CASE"
            },
            {
                "from": 58,
                "to": 59,
                "label": "ONLY EVAL with clause\nr :- ','(q, !_2).\nand substitution"
            },
            {
                "from": 59,
                "to": 60,
                "label": "CASE"
            },
            {
                "from": 60,
                "to": 61,
                "label": "ONLY EVAL with clause\nq.\nand substitution"
            },
            {
                "from": 61,
                "to": 62,
                "label": "CUT"
            },
            {
                "from": 62,
                "to": 63,
                "label": "SUCCESS"
            }
        ],
        "type": "Graph"
    }
}

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

(2)
TRUE