Logic Progr 19030 pair #381919890

details

property	value
status	complete
benchmark	fib-cut.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	Weinert_15

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.91463494301 seconds
cpu usage	4.511188822
max memory	2.3406592E8

stage attributes

key	value
output-size	17172
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

fac(a,a)

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

(0) Prolog
(1) PrologToIRSwTTransformerProof [SOUND, 32 ms]
(2) TRUE


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

(0)
Obligation:
Clauses:

fac(X, Y) :- ','(=:=(X, 1), ','(!, =:=(Y, 1))).
fac(X, Y) :- ','(>(X, 1), ','(!, ','(fac(-(X, 1), Z), is(Y, *(Z, X))))).


Query: fac(a,a)
----------------------------------------

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

{
    "root": 2,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(fac X Y)",
                "(',' (=:= X (1)) (',' (!) (=:= Y (1))))"
            ],
            [
                "(fac X Y)",
                "(',' (> X (1)) (',' (!) (',' (fac (- X (1)) Z) (is Y (* Z X)))))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "1330": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": [
                            {
                                "lhs": {
                                    "name": "T11",
                                    "type": "PlainIntegerVariable"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {
                                    "type": "PlainIntegerConstant",
                                    "value": "1"
                                },
                                "operation": "="
                            },
                            {
                                "lhs": {
                                    "name": "T12",
                                    "type": "PlainIntegerVariable"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {
                                    "type": "PlainIntegerConstant",
                                    "value": "1"
                                },
                                "operation": "="
                            }
                        ]
                    },
                    "ground": [],
                    "free": [],
                    "exprvars": [
                        "T12",
                        "T11"
                    ]
                }
            },
            "type": "Nodes",
            "230": {
                "goal": [],

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