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Logic Progr 19030 pair #381919823
details
property
value
status
complete
benchmark
evaluate.pl
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
talp_talp
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.43287086487 seconds
cpu usage
6.648515191
max memory
5.52882176E8
stage attributes
key
value
output-size
55843
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Left Termination of the query pattern myis(a,g) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND, 27 ms] (2) PiTRS (3) DependencyPairsProof [EQUIVALENT, 26 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) PiDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) PiDP (10) PiDPToQDPProof [SOUND, 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 [EQUIVALENT, 0 ms] (32) QDP (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] (34) YES (35) PiDP (36) UsableRulesProof [EQUIVALENT, 0 ms] (37) PiDP (38) PiDPToQDPProof [SOUND, 0 ms] (39) QDP (40) QDPSizeChangeProof [EQUIVALENT, 0 ms] (41) YES ---------------------------------------- (0) Obligation: Clauses: myis(Z, X) :- evaluate(X, Z). evaluate(+(X, Y), Z) :- ','(evaluate(X, X1), ','(evaluate(Y, Y1), add(X1, Y1, Z))). evaluate(-(X, Y), Z) :- ','(evaluate(X, X1), ','(evaluate(Y, Y1), sub(X1, Y1, Z))). evaluate(*(X, Y), Z) :- ','(evaluate(X, X1), ','(evaluate(Y, Y1), mult(X1, Y1, Z))). evaluate(X, X) :- myinteger(X). myinteger(s(X)) :- myinteger(X). myinteger(0). add(s(X), Y, s(Z)) :- add(X, Y, Z). add(0, X, X). sub(s(X), s(Y), Z) :- sub(X, Y, Z). sub(X, 0, X). mult(s(X), Y, R) :- ','(mult(X, Y, Z), add(Y, Z, R)). mult(0, Y, 0). notEq(s(X), s(Y)) :- notEq(X, Y). notEq(s(X), 0). notEq(0, s(X)). lt(s(X), s(Y)) :- lt(X, Y). lt(0, s(Y)). gt(s(X), s(Y)) :- gt(X, Y). gt(s(X), 0). le(s(X), s(Y)) :- le(X, Y). le(0, s(Y)). le(0, 0). Query: myis(a,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: myis_in_2: (f,b)
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