Logic Programming pair #487529323

details

property	value
status	complete
benchmark	evenodd.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	SGST06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.71678805351 seconds
cpu usage	3.911479267
max memory	2.69357056E8

stage attributes

key	value
output-size	20525
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Left Termination of the query pattern

even(g)

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

(0) Prolog
(1) PrologToDTProblemTransformerProof [SOUND, 0 ms]
(2) TRIPLES
(3) TriplesToPiDPProof [SOUND, 0 ms]
(4) PiDP
(5) DependencyGraphProof [EQUIVALENT, 0 ms]
(6) PiDP
(7) PiDPToQDPProof [EQUIVALENT, 0 ms]
(8) QDP
(9) QDPSizeChangeProof [EQUIVALENT, 0 ms]
(10) YES


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

(0)
Obligation:
Clauses:

even(0).
even(s(s(0))).
even(s(s(s(X)))) :- odd(X).
odd(s(0)).
odd(s(X)) :- even(s(s(X))).


Query: even(g)
----------------------------------------

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

{
    "root": 10,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(even (0))",
                null
            ],
            [
                "(even (s (s (0))))",
                null
            ],
            [
                "(even (s (s (s X))))",
                "(odd X)"
            ],
            [
                "(odd (s (0)))",
                null
            ],
            [
                "(odd (s X))",
                "(even (s (s X)))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "13": {
                "goal": [
                    {
                        "clause": 0,
                        "scope": 1,
                        "term": "(even T1)"
                    },
                    {
                        "clause": 1,
                        "scope": 1,
                        "term": "(even T1)"
                    },
                    {
                        "clause": 2,
                        "scope": 1,
                        "term": "(even T1)"
                    }
                ],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to Logic Programming