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Logic Programming pair #487529469
details
property
value
status
complete
benchmark
map_color.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
BCGGV05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.80444502831 seconds
cpu usage
3.735733112
max memory
2.40254976E8
stage attributes
key
value
output-size
7646
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Left Termination of the query pattern map(a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToIRSwTTransformerProof [SOUND, 0 ms] (2) TRUE ---------------------------------------- (0) Obligation: Clauses: color_map([], X1). color_map(.(Region, Regions), Colors) :- ','(color_region(Region, Colors), color_map(Regions, Colors)). color_region(region(X2, Color, Neighbors), Colors) :- ','(select(Color, Colors, Colors1), subset(Neighbors, Colors1)). select(X, .(X, Xs), Xs). select(X, .(Y, Xs), .(Y, Zs)) :- select(X, Xs, Zs). subset([], X3). subset(.(X, Xs), Ys) :- ','(member(X, Ys), subset(Xs, Ys)). member(X, .(X, X4)). member(X, .(X5, Xs)) :- member(X, Xs). map(.(region(belize, Belize, .(Guatemala, [])), .(region(guatemala, Guatemala, .(Belize, .(El_Salvador, .(Honduras, [])))), .(region(el_salvador, El_Salvador, .(Guatemala, .(Honduras, []))), .(region(honduras, Honduras, .(Guatemala, .(El_Salvador, .(Nicaragua, [])))), .(region(nicaragua, Nicaragua, .(Honduras, .(Costa_rica, []))), .(region(costa_rica, Costa_rica, .(Nicaragua, .(Panama, []))), .(region(panama, Panama, .(Costa_rica, [])), [])))))))). query :- ','(map(X), color_map(X, .(red, .(blue, .(green, []))))). Query: map(a) ---------------------------------------- (1) PrologToIRSwTTransformerProof (SOUND) Transformed Prolog program to IRSwT according to method in Master Thesis of A. Weinert { "root": 1, "program": { "directives": [], "clauses": [ [ "(color_map ([]) X1)", null ], [ "(color_map (. Region Regions) Colors)", "(',' (color_region Region Colors) (color_map Regions Colors))" ], [ "(color_region (region X2 Color Neighbors) Colors)", "(',' (select Color Colors Colors1) (subset Neighbors Colors1))" ], [ "(select X (. X Xs) Xs)", null ], [ "(select X (. Y Xs) (. Y Zs))", "(select X Xs Zs)" ], [ "(subset ([]) X3)", null ], [ "(subset (. X Xs) Ys)", "(',' (member X Ys) (subset Xs Ys))" ], [ "(member X (. X X4))", null ], [ "(member X (. X5 Xs))", "(member X Xs)" ], [ "(map (. (region (belize) Belize (. Guatemala ([]))) (. (region (guatemala) Guatemala (. Belize (. El_Salvador (. Honduras ([]))))) (. (region (el_salvador) El_Salvador (. Guatemala (. Honduras ([])))) (. (region (honduras) Honduras (. Guatemala (. El_Salvador (. Nicaragua ([]))))) (. (region (nicaragua) Nicaragua (. Honduras (. Costa_rica ([])))) (. (region (costa_rica) Costa_rica (. Nicaragua (. Panama ([])))) (. (region (panama) Panama (. Costa_rica ([]))) ([])))))))))", null ], [ "(query)", "(',' (map X) (color_map X (. (red) (. (blue) (. (green) ([]))))))" ] ] }, "graph": { "nodes": {
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