Logic Progr 19030 pair #381919827

details

property	value
status	complete
benchmark	evenspacedwithdiff.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	Euler_queensu-cs260

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.06772017479 seconds
cpu usage	5.068946168
max memory	4.9911808E8

stage attributes

key	value
output-size	122170
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

evenSpacedWithDiff(g,g)

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

(0) Prolog
(1) PrologToDTProblemTransformerProof [SOUND, 61 ms]
(2) TRIPLES
(3) TriplesToPiDPProof [SOUND, 3 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:

evenSpacedWithDiff(.(X, .(Y, [])), Diff) :- =:=(Diff, -(Y, X)).
evenSpacedWithDiff(.(X, .(Y, Tail)), Diff) :- ','(=:=(Diff, -(Y, X)), evenSpacedWithDiff(.(Y, Tail), Diff)).


Query: evenSpacedWithDiff(g,g)
----------------------------------------

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

{
    "root": 1,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(evenSpacedWithDiff (. X (. Y ([]))) Diff)",
                "(=:= Diff (- Y X))"
            ],
            [
                "(evenSpacedWithDiff (. X (. Y Tail)) Diff)",
                "(',' (=:= Diff (- Y X)) (evenSpacedWithDiff (. Y Tail) Diff))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "1462": {
                "goal": [{
                    "clause": 1,
                    "scope": 1,
                    "term": "(evenSpacedWithDiff (. T6 (. T7 ([]))) T8)"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": [{
                            "lhs": {
                                "name": "T8",
                                "type": "PlainIntegerVariable"
                            },
                            "type": "PlainIntegerRelation",
                            "rhs": {
                                "arguments": [
                                    {
                                        "name": "T7",
                                        "type": "PlainIntegerVariable"
                                    },
                                    {
                                        "name": "T6",
                                        "type": "PlainIntegerVariable"
                                    }
                                ],
                                "type": "PlainIntegerOperation",
                                "operation": "-"
                            },
                            "operation": "="
                        }]
                    },
                    "ground": [
                        "T6",
                        "T7",

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