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Logic Progr 19030 pair #381919763
details
property
value
status
complete
benchmark
evenspaced.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
Euler_queensu-cs260
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.89771413803 seconds
cpu usage
4.686612345
max memory
3.426304E8
stage attributes
key
value
output-size
81792
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern evenSpaced(g) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToDTProblemTransformerProof [SOUND, 51 ms] (2) TRIPLES (3) TriplesToPiDPProof [SOUND, 0 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) PiDP (7) PiDPToQDPProof [EQUIVALENT, 0 ms] (8) QDP (9) QDPSizeChangeProof [EQUIVALENT, 1 ms] (10) YES ---------------------------------------- (0) Obligation: Clauses: evenSpaced(.(X1, .(X2, []))). evenSpaced(.(X, .(Y, .(Z, Xs)))) :- ','(is(Diff, -(Y, X)), ','(=:=(Diff, -(Z, Y)), evenSpaced(.(Y, .(Z, Xs))))). Query: evenSpaced(g) ---------------------------------------- (1) PrologToDTProblemTransformerProof (SOUND) Built DT problem from termination graph DT10. { "root": 1, "program": { "directives": [], "clauses": [ [ "(evenSpaced (. X1 (. X2 ([]))))", null ], [ "(evenSpaced (. X (. Y (. Z Xs))))", "(',' (is Diff (- Y X)) (',' (=:= Diff (- Z Y)) (evenSpaced (. Y (. Z Xs)))))" ] ] }, "graph": { "nodes": { "type": "Nodes", "1519": { "goal": [{ "clause": 0, "scope": 2, "term": "(evenSpaced (. T13 (. T14 T15)))" }], "kb": { "nonunifying": [], "intvars": {}, "arithmetic": { "type": "PlainIntegerRelationState", "relations": [ { "lhs": { "name": "T16", "type": "PlainIntegerVariable" }, "type": "PlainIntegerRelation", "rhs": { "arguments": [ { "name": "T13", "type": "PlainIntegerVariable" }, { "name": "T12", "type": "PlainIntegerVariable" } ], "type": "PlainIntegerOperation", "operation": "-" }, "operation": "=" }, { "lhs": {
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