Logic Progr 19030 pair #381920008

details

property	value
status	complete
benchmark	factorial.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n069.star.cs.uiowa.edu
space	Weinert_15

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.4921271801 seconds
cpu usage	6.78034498
max memory	7.49064192E8

stage attributes

key	value
output-size	77730
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

fact(a,g)

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

(0) Prolog
(1) PrologToIRSwTTransformerProof [SOUND, 44 ms]
(2) IRSwT
(3) IRSwTSimpleDependencyGraphProof [EQUIVALENT, 0 ms]
(4) IRSwT
(5) IntTRSCompressionProof [EQUIVALENT, 22 ms]
(6) IRSwT
(7) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
(8) IRSwT
(9) IRSwTTerminationDigraphProof [EQUIVALENT, 7 ms]
(10) IRSwT
(11) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(12) IRSwT
(13) TempFilterProof [SOUND, 38 ms]
(14) IntTRS
(15) RankingReductionPairProof [EQUIVALENT, 22 ms]
(16) YES


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

(0)
Obligation:
Clauses:

fact(X, Y) :- ','(is(0, X), =(Y, 1)).
fact(X, Y) :- ','(is(1, X), =(Y, 1)).
fact(X, Y) :- ','(>=(X, 2), ','(fact(-(X, 1), Y1), is(Y, *(Y1, X)))).


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

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

{
    "root": 1,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(fact X Y)",
                "(',' (is (0) X) (= Y (1)))"
            ],
            [
                "(fact X Y)",
                "(',' (is (1) X) (= Y (1)))"
            ],
            [
                "(fact X Y)",
                "(',' (>= X (2)) (',' (fact (- X (1)) Y1) (is Y (* Y1 X))))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "type": "Nodes",
            "2150": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(is X75 (* T54 (- T52 (1))))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [
                        "T52",
                        "T54"
                    ],
                    "free": ["X75"],
                    "exprvars": []
                }
            },
            "1734": {
                "goal": [],
                "kb": {
                    "nonunifying": [],

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