Logic Progr 19030 pair #381919662

details

property	value
status	complete
benchmark	lategen.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	lpexamples

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.71365523338 seconds
cpu usage	3.803227694
max memory	1.91819776E8

stage attributes

key	value
output-size	18347
starexec-result	YES

output

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


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


YES
proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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(s(s(0))).
p(s(X)) :- p(X).
p(0).
p(s(s(s(0)))) :- p(s(s(s(0)))).


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

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

{
    "root": 12,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(q)",
                "(p (s (s (0))))"
            ],
            [
                "(p (s X))",
                "(p X)"
            ],
            [
                "(p (0))",
                null
            ],
            [
                "(p (s (s (s (0)))))",
                "(p (s (s (s (0)))))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "88": {
                "goal": [{
                    "clause": 1,
                    "scope": 3,
                    "term": "(p (s (0)))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }
            },
            "12": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(q)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": []
                }

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