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Logic_Programming 2019-04-02 08.22 pair #434324823
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
n050.star.cs.uiowa.edu
space
BCGGV05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.77852 seconds
cpu usage
3.66468
user time
3.52774
system time
0.136938
max virtual memory
1.8275212E7
max residence set size
227856.0
stage attributes
key
value
starexec-result
YES
output
3.44/1.73 YES 3.44/1.74 proof of /export/starexec/sandbox/benchmark/theBenchmark.pl 3.44/1.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.44/1.74 3.44/1.74 3.44/1.74 Left Termination of the query pattern 3.44/1.74 3.44/1.74 map(a) 3.44/1.74 3.44/1.74 w.r.t. the given Prolog program could successfully be proven: 3.44/1.74 3.44/1.74 (0) Prolog 3.44/1.74 (1) PrologToDTProblemTransformerProof [SOUND, 0 ms] 3.44/1.74 (2) TRIPLES 3.44/1.74 (3) TPisEmptyProof [EQUIVALENT, 0 ms] 3.44/1.74 (4) YES 3.44/1.74 3.44/1.74 3.44/1.74 ---------------------------------------- 3.44/1.74 3.44/1.74 (0) 3.44/1.74 Obligation: 3.44/1.74 Clauses: 3.44/1.74 3.44/1.74 color_map([], X1). 3.44/1.74 color_map(.(Region, Regions), Colors) :- ','(color_region(Region, Colors), color_map(Regions, Colors)). 3.44/1.74 color_region(region(X2, Color, Neighbors), Colors) :- ','(select(Color, Colors, Colors1), subset(Neighbors, Colors1)). 3.44/1.74 select(X, .(X, Xs), Xs). 3.44/1.74 select(X, .(Y, Xs), .(Y, Zs)) :- select(X, Xs, Zs). 3.44/1.74 subset([], X3). 3.44/1.74 subset(.(X, Xs), Ys) :- ','(member(X, Ys), subset(Xs, Ys)). 3.44/1.74 member(X, .(X, X4)). 3.44/1.74 member(X, .(X5, Xs)) :- member(X, Xs). 3.44/1.74 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, [])), [])))))))). 3.44/1.74 query :- ','(map(X), color_map(X, .(red, .(blue, .(green, []))))). 3.44/1.74 3.44/1.74 3.44/1.74 Query: map(a) 3.44/1.74 ---------------------------------------- 3.44/1.74 3.44/1.74 (1) PrologToDTProblemTransformerProof (SOUND) 3.44/1.74 Built DT problem from termination graph DT10. 3.44/1.74 3.44/1.74 { 3.44/1.74 "root": 3, 3.44/1.74 "program": { 3.44/1.74 "directives": [], 3.44/1.74 "clauses": [ 3.44/1.74 [ 3.44/1.74 "(color_map ([]) X1)", 3.44/1.74 null 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(color_map (. Region Regions) Colors)", 3.44/1.74 "(',' (color_region Region Colors) (color_map Regions Colors))" 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(color_region (region X2 Color Neighbors) Colors)", 3.44/1.74 "(',' (select Color Colors Colors1) (subset Neighbors Colors1))" 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(select X (. X Xs) Xs)", 3.44/1.74 null 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(select X (. Y Xs) (. Y Zs))", 3.44/1.74 "(select X Xs Zs)" 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(subset ([]) X3)", 3.44/1.74 null 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(subset (. X Xs) Ys)", 3.44/1.74 "(',' (member X Ys) (subset Xs Ys))" 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(member X (. X X4))", 3.44/1.74 null 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(member X (. X5 Xs))", 3.44/1.74 "(member X Xs)" 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(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 ([]))) ([])))))))))", 3.44/1.74 null 3.44/1.74 ], 3.44/1.74 [ 3.44/1.74 "(query)", 3.44/1.74 "(',' (map X) (color_map X (. (red) (. (blue) (. (green) ([]))))))" 3.44/1.74 ] 3.44/1.74 ] 3.44/1.74 }, 3.44/1.74 "graph": { 3.44/1.74 "nodes": { 3.44/1.74 "24": { 3.44/1.74 "goal": [{ 3.44/1.74 "clause": 9, 3.44/1.74 "scope": 1,
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