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Logic Progr 19030 pair #381919894
details
property
value
status
complete
benchmark
mergesort_ap.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
talp_apt
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.53531503677 seconds
cpu usage
18.845704757
max memory
2.178916352E9
stage attributes
key
value
output-size
133433
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern mergesort(g,a,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToTRSTransformerProof [SOUND, 95 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 6 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) UsableRulesProof [EQUIVALENT, 0 ms] (14) QDP (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] (16) YES (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) UsableRulesProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) QDPOrderProof [EQUIVALENT, 67 ms] (27) QDP (28) DependencyGraphProof [EQUIVALENT, 0 ms] (29) TRUE ---------------------------------------- (0) Obligation: Clauses: mergesort([], [], Ls). mergesort(.(X, []), .(X, []), Ls). mergesort(.(X, .(Y, Xs)), Ys, .(H, Ls)) :- ','(split(.(X, .(Y, Xs)), X1s, X2s, .(H, Ls)), ','(mergesort(X1s, Y1s, Ls), ','(mergesort(X2s, Y2s, Ls), merge(Y1s, Y2s, Ys, .(H, Ls))))). split([], [], [], Ls). split(.(X, Xs), .(X, Ys), Zs, .(H, Ls)) :- split(Xs, Zs, Ys, Ls). merge([], Xs, Xs, Ls). merge(Xs, [], Xs, Ls). merge(.(X, Xs), .(Y, Ys), .(X, Zs), .(H, Ls)) :- ','(le(X, Y), merge(Xs, .(Y, Ys), Zs, Ls)). merge(.(X, Xs), .(Y, Ys), .(Y, Zs), .(H, Ls)) :- ','(gt(X, Y), merge(.(X, Xs), Ys, Zs, Ls)). gt(s(X), s(Y)) :- gt(X, Y). gt(s(0), 0). le(s(X), s(Y)) :- le(X, Y). le(0, s(0)). le(0, 0). Query: mergesort(g,a,a) ---------------------------------------- (1) PrologToTRSTransformerProof (SOUND) Transformed Prolog program to TRS. { "root": 1, "program": { "directives": [], "clauses": [ [ "(mergesort ([]) ([]) Ls)", null ], [ "(mergesort (. X ([])) (. X ([])) Ls)", null ], [ "(mergesort (. X (. Y Xs)) Ys (. H Ls))", "(',' (split (. X (. Y Xs)) X1s X2s (. H Ls)) (',' (mergesort X1s Y1s Ls) (',' (mergesort X2s Y2s Ls) (merge Y1s Y2s Ys (. H Ls)))))" ], [ "(split ([]) ([]) ([]) Ls)", null ], [ "(split (. X Xs) (. X Ys) Zs (. H Ls))",
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