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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

q()

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

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


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

(0)
Obligation:
Clauses:

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


Query: q()
----------------------------------------

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

{
    "root": 2,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(q)",
                "(p X Y)"
            ],
            [
                "(p (a) (b))",
                "(!)"
            ],
            [
                "(p (a) (a))",
                "(p (a) (a))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "44": {
                "goal": [
                    {
                        "clause": 1,
                        "scope": 2,
                        "term": "(p X3 X4)"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(p X3 X4)"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [
                        "X3",
                        "X4"
                    ],
                    "exprvars": []
                }
            },
            "2": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(q)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "25": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(p X3 X4)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [
                        "X3",
                        "X4"
                    ],
                    "exprvars": []
                }
            },
            "59": {
                "goal": [
                    {
                        "clause": -1,
                        "scope": -1,
                        "term": "(!_2)"
                    },
                    {
                        "clause": 2,
                        "scope": 2,
                        "term": "(p X3 X4)"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [
                        "X3",
                        "X4"
                    ],
                    "exprvars": []
                }
            },
            "18": {
                "goal": [{
                    "clause": 0,
                    "scope": 1,
                    "term": "(q)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "60": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(true)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "61": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "type": "Nodes"
        },
        "edges": [
            {
                "from": 2,
                "to": 18,
                "label": "CASE"
            },
            {
                "from": 18,
                "to": 25,
                "label": "ONLY EVAL with clause\nq :- p(X3, X4).\nand substitution"
            },
            {
                "from": 25,
                "to": 44,
                "label": "CASE"
            },
            {
                "from": 44,
                "to": 59,
                "label": "ONLY EVAL with clause\np(a, b) :- !_2.\nand substitutionX3 -> a,\nX4 -> b"
            },
            {
                "from": 59,
                "to": 60,
                "label": "CUT"
            },
            {
                "from": 60,
                "to": 61,
                "label": "SUCCESS"
            }
        ],
        "type": "Graph"
    }
}

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

(2)
TRUE