Logic Progr 19030 pair #381919726

details

property	value
status	complete
benchmark	ackermann-cut.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n057.star.cs.uiowa.edu
space	Weinert_15

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.98198699951 seconds
cpu usage	5.055951279
max memory	3.99409152E8

stage attributes

key	value
output-size	79364
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

ackermann(g,g,a)

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

(0) Prolog
(1) PrologToDTProblemTransformerProof [SOUND, 56 ms]
(2) TRIPLES
(3) TPisEmptyProof [EQUIVALENT, 0 ms]
(4) YES


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

(0)
Obligation:
Clauses:

ackermann(X, Y, Z) :- ','(=:=(X, 0), ','(>=(Y, 0), ','(!, is(Z, +(Y, 1))))).
ackermann(X, Y, Z) :- ','(>(X, 0), ','(=:=(Y, 0), ','(!, ackermann(-(X, 1), 1, Z)))).
ackermann(X, Y, Z) :- ','(>(X, 0), ','(>(Y, 0), ','(!, ','(ackermann(X, -(Y, 1), W), ackermann(-(X, 1), W, Z))))).


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

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

{
    "root": 2,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(ackermann X Y Z)",
                "(',' (=:= X (0)) (',' (>= Y (0)) (',' (!) (is Z (+ Y (1))))))"
            ],
            [
                "(ackermann X Y Z)",
                "(',' (> X (0)) (',' (=:= Y (0)) (',' (!) (ackermann (- X (1)) (1) Z))))"
            ],
            [
                "(ackermann X Y Z)",
                "(',' (> X (0)) (',' (> Y (0)) (',' (!) (',' (ackermann X (- Y (1)) W) (ackermann (- X (1)) W Z)))))"
            ]
        ]
    },
    "graph": {
        "nodes": {
            "2099": {
                "goal": [],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": [
                            {
                                "lhs": {
                                    "name": "T7",
                                    "type": "PlainIntegerVariable"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {
                                    "type": "PlainIntegerConstant",
                                    "value": "0"
                                },
                                "operation": "="
                            },
                            {
                                "lhs": {
                                    "name": "T11",
                                    "type": "PlainIntegerVariable"
                                },
                                "type": "PlainIntegerRelation",
                                "rhs": {
                                    "arguments": [
                                        {
                                            "name": "T8",
                                            "type": "PlainIntegerVariable"
                                        },
                                        {
                                            "type": "PlainIntegerConstant",
                                            "value": "1"
                                        }
                                    ],
                                    "type": "PlainIntegerOperation",

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