Logic Progr 19030 pair #381919847

details

property	value
status	complete
benchmark	program-8-11.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	Art-of-prolog

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.7677359581 seconds
cpu usage	4.029231824
max memory	2.84557312E8

stage attributes

key	value
output-size	35210
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

find_length(g,a)

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 [SOUND, 0 ms]
(8) QDP
(9) QDPSizeChangeProof [EQUIVALENT, 0 ms]
(10) YES


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

(0)
Obligation:
Clauses:

find_length(.(X, Xs), N) :- ','(find_length(Xs, N1), is(N, +(N1, 1))).
find_length([], 0).


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

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

{
    "root": 3,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(find_length (. X Xs) N)",
                "(',' (find_length Xs N1) (is N (+ N1 (1))))"
            ],
            [
                "(find_length ([]) (0))",
                null
            ]
        ]
    },
    "graph": {
        "nodes": {
            "46": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": [
                            {
                                "lhs": {
                                    "name": "T25",
                                    "type": "PlainIntegerVariable"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {
                                    "arguments": [
                                        {
                                            "name": "T22",
                                            "type": "PlainIntegerVariable"
                                        },
                                        {
                                            "type": "PlainIntegerConstant",
                                            "value": "1"
                                        }
                                    ],
                                    "type": "PlainIntegerOperation",
                                    "operation": "+"
                                },
                                "operation": "="
                            },
                            {
                                "lhs": {
                                    "name": "T26",
                                    "type": "PlainIntegerVariable"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {

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