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Logic Progr 19030 pair #381920200
details
property
value
status
complete
benchmark
divminus2.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Stroeder_09
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.51729297638 seconds
cpu usage
5.770440697
max memory
3.76836096E8
stage attributes
key
value
output-size
73868
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern div(g,g,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToTRSTransformerProof [SOUND, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 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) QDPOrderProof [EQUIVALENT, 31 ms] (14) QDP (15) DependencyGraphProof [EQUIVALENT, 0 ms] (16) TRUE ---------------------------------------- (0) Obligation: Clauses: div(0, Y, 0) :- no(zero(Y)). div(X, Y, s(Z)) :- ','(no(zero(X)), ','(no(zero(Y)), ','(minus(X, Y, U), div(U, Y, Z)))). minus(0, Y, 0). minus(X, 0, X). minus(s(X), s(Y), Z) :- minus(X, Y, Z). zero(0). no(X) :- ','(X, ','(!, failure(a))). no(X1). failure(b). Query: div(g,g,a) ---------------------------------------- (1) PrologToTRSTransformerProof (SOUND) Transformed Prolog program to TRS. { "root": 1, "program": { "directives": [], "clauses": [ [ "(div (0) Y (0))", "(no (zero Y))" ], [ "(div X Y (s Z))", "(',' (no (zero X)) (',' (no (zero Y)) (',' (minus X Y U) (div U Y Z))))" ], [ "(minus (0) Y (0))", null ], [ "(minus X (0) X)", null ], [ "(minus (s X) (s Y) Z)", "(minus X Y Z)" ], [ "(zero (0))", null ], [ "(no X)", "(',' X (',' (!) (failure (a))))" ], [ "(no X1)", null ], [ "(failure (b))", null ]
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