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Logic Progr 19030 pair #381920032
details
property
value
status
complete
benchmark
prime.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
SGST06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.93165397644 seconds
cpu usage
12.421321684
max memory
2.07312896E9
stage attributes
key
value
output-size
54050
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern prime(g) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND, 13 ms] (2) PiTRS (3) DependencyPairsProof [EQUIVALENT, 36 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) PiDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) PiDP (10) PiDPToQDPProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) PiDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) PiDP (17) PiDPToQDPProof [SOUND, 0 ms] (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) PiDP (22) UsableRulesProof [EQUIVALENT, 0 ms] (23) PiDP (24) PiDPToQDPProof [SOUND, 0 ms] (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES (28) PiDP (29) UsableRulesProof [EQUIVALENT, 0 ms] (30) PiDP (31) PiDPToQDPProof [SOUND, 0 ms] (32) QDP (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] (34) YES (35) PiDP (36) UsableRulesProof [EQUIVALENT, 0 ms] (37) PiDP (38) PiDPToQDPProof [SOUND, 2 ms] (39) QDP (40) QDPQMonotonicMRRProof [EQUIVALENT, 62 ms] (41) QDP (42) DependencyGraphProof [EQUIVALENT, 0 ms] (43) TRUE ---------------------------------------- (0) Obligation: Clauses: div(X, Y, Z) :- quot(X, Y, Y, Z). quot(0, s(Y), s(Z), 0). quot(s(X), s(Y), Z, U) :- quot(X, Y, Z, U). quot(X, 0, s(Z), s(U)) :- quot(X, s(Z), s(Z), U). prime(s(s(X))) :- pr(s(s(X)), s(X)). pr(X, s(0)). pr(X, s(s(Y))) :- ','(not_divides(s(s(Y)), X), pr(X, s(Y))). not_divides(Y, X) :- ','(div(X, Y, U), ','(times(U, Y, Z), neq(X, Z))). neq(s(X), 0). neq(0, s(X)). neq(s(X), s(Y)) :- neq(X, Y). times(0, Y, 0). times(s(X), Y, Z) :- ','(times(X, Y, U), add(U, Y, Z)). add(X, 0, X). add(0, X, X). add(s(X), Y, s(Z)) :- add(X, Y, Z). Query: prime(g) ---------------------------------------- (1) PrologToPiTRSProof (SOUND) We use the technique of [TOCL09]. With regard to the inferred argument filtering the predicates were used in the following modes: prime_in_1: (b) pr_in_2: (b,b) not_divides_in_2: (b,b) div_in_3: (b,b,f)
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