Logic Progr 19030 pair #381919852

details

property	value
status	complete
benchmark	fibonacci.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n041.star.cs.uiowa.edu
space	Weinert_15

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.03600096703 seconds
cpu usage	12.642343642
max memory	1.101602816E9

stage attributes

key	value
output-size	288115
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

fib(a,g)

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

(0) Prolog
(1) PrologToIRSwTTransformerProof [SOUND, 123 ms]
(2) IRSwT
(3) IRSwTSimpleDependencyGraphProof [EQUIVALENT, 0 ms]
(4) IRSwT
(5) IntTRSCompressionProof [EQUIVALENT, 48 ms]
(6) IRSwT
(7) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
(8) IRSwT
(9) IRSwTTerminationDigraphProof [EQUIVALENT, 23 ms]
(10) IRSwT
(11) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(12) IRSwT
(13) TempFilterProof [SOUND, 32 ms]
(14) IntTRS
(15) PolynomialOrderProcessor [EQUIVALENT, 11 ms]
(16) YES


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

(0)
Obligation:
Clauses:

fib(X, Y) :- ','(<(X, 2), =(Y, 1)).
fib(X, Y) :- ','(>=(X, 2), ','(fib(-(X, 1), F1), ','(fib(-(X, 2), F2), is(Y, +(F1, F2))))).


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

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

{
    "root": 3,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(fib X Y)",
                "(',' (< X (2)) (= Y (1)))"
            ],
            [
                "(fib X Y)",
                "(',' (>= X (2)) (',' (fib (- X (1)) F1) (',' (fib (- X (2)) F2) (is Y (+ F1 F2)))))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "2551": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(is X214 (+ T92 T95))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": [
                        "T92",
                        "T95"
                    ],
                    "free": ["X214"],
                    "exprvars": []
                }
            },
            "2793": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": [{
                            "lhs": {
                                "name": "T140",

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