Logic Progr 19030 pair #381920120

details

property	value
status	complete
benchmark	hbal_tree.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n036.star.cs.uiowa.edu
space	SGST06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.24889087677 seconds
cpu usage	5.771545607
max memory	3.16755968E8

stage attributes

key	value
output-size	40946
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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

hbal_tree(g,a)

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

(0) Prolog
(1) PrologToDTProblemTransformerProof [SOUND, 54 ms]
(2) TRIPLES
(3) TriplesToPiDPProof [SOUND, 0 ms]
(4) PiDP
(5) DependencyGraphProof [EQUIVALENT, 0 ms]
(6) PiDP
(7) PiDPToQDPProof [SOUND, 7 ms]
(8) QDP
(9) MRRProof [EQUIVALENT, 89 ms]
(10) QDP
(11) PisEmptyProof [EQUIVALENT, 0 ms]
(12) YES


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

(0)
Obligation:
Clauses:

hbal_tree(zero, nil).
hbal_tree(s(zero), t(x, nil, nil)).
hbal_tree(s(s(X)), t(x, L, R)) :- ','(distr(s(X), X, DL, DR), ','(hbal_tree(DL, L), hbal_tree(DR, R))).
distr(D1, X1, D1, D1).
distr(D1, D2, D1, D2).
distr(D1, D2, D2, D1).


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

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

{
    "root": 1,
    "program": {
        "directives": [],
        "clauses": [
            [
                "(hbal_tree (zero) (nil))",
                null
            ],
            [
                "(hbal_tree (s (zero)) (t (x) (nil) (nil)))",
                null
            ],
            [
                "(hbal_tree (s (s X)) (t (x) L R))",
                "(',' (distr (s X) X DL DR) (',' (hbal_tree DL L) (hbal_tree DR R)))"
            ],
            [
                "(distr D1 X1 D1 D1)",
                null
            ],
            [
                "(distr D1 D2 D1 D2)",
                null
            ],
            [
                "(distr D1 D2 D2 D1)",
                null
            ]
        ]
    },
    "graph": {
        "nodes": {
            "170": {
                "goal": [{
                    "clause": -1,
                    "scope": -1,
                    "term": "(',' (distr (s T6) T6 X14 X15) (',' (hbal_tree X14 T9) (hbal_tree X15 T10)))"
                }],
                "kb": {
                    "nonunifying": [],
                    "intvars": {},
                    "arithmetic": {
                        "type": "PlainIntegerRelationState",
                        "relations": []
                    },
                    "ground": ["T6"],
                    "free": [

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