Logic Progr 19030 pair #381919936

details

property	value
status	complete
benchmark	exercise_power.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n037.star.cs.uiowa.edu
space	Art-of-prolog

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.27729201317 seconds
cpu usage	5.930686661
max memory	6.43657728E8

stage attributes

key	value
output-size	134201
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

power(g,g,a)

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

(0) Prolog
(1) PrologToDTProblemTransformerProof [SOUND, 72 ms]
(2) TRIPLES
(3) TPisEmptyProof [EQUIVALENT, 0 ms]
(4) YES


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

(0)
Obligation:
Clauses:

power(0, N, 0) :- >(N, 0).
power(X, 0, 1) :- >(X, 0).
power(X, N, V) :- ','(>(X, 0), ','(>(N, 0), ','(is(N1, -(N, 1)), ','(power(X, N1, V1), is(V, *(V1, X)))))).


Query: power(g,g,a)
----------------------------------------

(1) PrologToDTProblemTransformerProof (SOUND)
Built DT problem from termination graph DT10.

{
    "root": 1,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(power (0) N (0))",
                "(> N (0))"
            ],
            [
                "(power X (0) (1))",
                "(> X (0))"
            ],
            [
                "(power X N V)",
                "(',' (> X (0)) (',' (> N (0)) (',' (is N1 (- N (1))) (',' (power X N1 V1) (is V (* V1 X))))))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "type": "Nodes",
            "2504": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": [
                            {
                                "lhs": {
                                    "type": "PlainIntegerConstant",
                                    "value": "0"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {
                                    "name": "T5",
                                    "type": "PlainIntegerVariable"
                                },
                                "operation": ">="
                            },
                            {
                                "lhs": {
                                    "type": "PlainIntegerConstant",
                                    "value": "0"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {
                                    "name": "T5",
                                    "type": "PlainIntegerVariable"
                                },
                                "operation": ">="
                            },
                            {
                                "lhs": {
                                    "type": "PlainIntegerConstant",
                                    "value": "0"
                                },

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