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Logic_Programming 2019-04-02 08.22 pair #434324439
details
property
value
status
complete
benchmark
ways.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
terminweb_new
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.71874 seconds
cpu usage
18.7875
user time
17.8611
system time
0.926398
max virtual memory
3.99097E7
max residence set size
1819296.0
stage attributes
key
value
starexec-result
YES
output
18.55/5.64 YES 18.55/5.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.pl 18.55/5.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.55/5.65 18.55/5.65 18.55/5.65 Left Termination of the query pattern 18.55/5.65 18.55/5.65 ways(g,g,a) 18.55/5.65 18.55/5.65 w.r.t. the given Prolog program could successfully be proven: 18.55/5.65 18.55/5.65 (0) Prolog 18.55/5.65 (1) UnifyTransformerProof [EQUIVALENT, 0 ms] 18.55/5.65 (2) Prolog 18.55/5.65 (3) PrologToPiTRSProof [SOUND, 34 ms] 18.55/5.65 (4) PiTRS 18.55/5.65 (5) DependencyPairsProof [EQUIVALENT, 32 ms] 18.55/5.65 (6) PiDP 18.55/5.65 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 18.55/5.65 (8) AND 18.55/5.65 (9) PiDP 18.55/5.65 (10) UsableRulesProof [EQUIVALENT, 0 ms] 18.55/5.65 (11) PiDP 18.55/5.65 (12) PiDPToQDPProof [EQUIVALENT, 0 ms] 18.55/5.65 (13) QDP 18.55/5.65 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.55/5.65 (15) YES 18.55/5.65 (16) PiDP 18.55/5.65 (17) UsableRulesProof [EQUIVALENT, 0 ms] 18.55/5.65 (18) PiDP 18.55/5.65 (19) PiDPToQDPProof [SOUND, 0 ms] 18.55/5.65 (20) QDP 18.55/5.65 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.55/5.65 (22) YES 18.55/5.65 (23) PiDP 18.55/5.65 (24) UsableRulesProof [EQUIVALENT, 0 ms] 18.55/5.65 (25) PiDP 18.55/5.65 (26) PiDPToQDPProof [SOUND, 0 ms] 18.55/5.65 (27) QDP 18.55/5.65 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.55/5.65 (29) YES 18.55/5.65 (30) PiDP 18.55/5.65 (31) PiDPToQDPProof [SOUND, 0 ms] 18.55/5.65 (32) QDP 18.55/5.65 (33) TransformationProof [EQUIVALENT, 0 ms] 18.55/5.65 (34) QDP 18.55/5.65 (35) TransformationProof [EQUIVALENT, 0 ms] 18.55/5.65 (36) QDP 18.55/5.65 (37) TransformationProof [EQUIVALENT, 0 ms] 18.55/5.65 (38) QDP 18.55/5.65 (39) TransformationProof [EQUIVALENT, 0 ms] 18.55/5.65 (40) QDP 18.55/5.65 (41) TransformationProof [EQUIVALENT, 0 ms] 18.55/5.65 (42) QDP 18.55/5.65 (43) TransformationProof [EQUIVALENT, 0 ms] 18.55/5.65 (44) QDP 18.55/5.65 (45) QDPOrderProof [EQUIVALENT, 169 ms] 18.55/5.65 (46) QDP 18.55/5.65 (47) DependencyGraphProof [EQUIVALENT, 0 ms] 18.55/5.65 (48) QDP 18.55/5.65 (49) QDPOrderProof [EQUIVALENT, 49 ms] 18.55/5.65 (50) QDP 18.55/5.65 (51) DependencyGraphProof [EQUIVALENT, 0 ms] 18.55/5.65 (52) TRUE 18.55/5.65 18.55/5.65 18.55/5.65 ---------------------------------------- 18.55/5.65 18.55/5.65 (0) 18.55/5.65 Obligation: 18.55/5.65 Clauses: 18.55/5.65 18.55/5.65 nat(0). 18.55/5.65 nat(s(X)) :- nat(X). 18.55/5.65 plus(0, X, X) :- nat(X). 18.55/5.65 plus(s(X), Y, s(Z)) :- plus(X, Y, Z). 18.55/5.65 ways(0, X1, s(0)). 18.55/5.65 ways(X2, [], 0). 18.55/5.65 ways(Amount, .(s(C), Coins), N) :- ','(=(Amount, s(X3)), ','(plus(s(C), NewAmount, Amount), ','(ways(Amount, Coins, N1), ','(ways(NewAmount, .(s(C), Coins), N2), plus(N1, N2, N))))). 18.55/5.65 ways(Amount, .(s(C), Coins), N) :- ','(=(Amount, s(X4)), ','(plus(Amount, s(X5), s(C)), ways(Amount, Coins, N))). 18.55/5.65 18.55/5.65 18.55/5.65 Query: ways(g,g,a) 18.55/5.65 ---------------------------------------- 18.55/5.65 18.55/5.65 (1) UnifyTransformerProof (EQUIVALENT) 18.55/5.65 Added a fact for the built-in = predicate [PROLOG]. 18.55/5.65 ---------------------------------------- 18.55/5.65 18.55/5.65 (2) 18.55/5.65 Obligation: 18.55/5.65 Clauses: 18.55/5.65 18.55/5.65 nat(0). 18.55/5.65 nat(s(X)) :- nat(X). 18.55/5.65 plus(0, X, X) :- nat(X). 18.55/5.65 plus(s(X), Y, s(Z)) :- plus(X, Y, Z). 18.55/5.65 ways(0, X1, s(0)). 18.55/5.65 ways(X2, [], 0). 18.55/5.65 ways(Amount, .(s(C), Coins), N) :- ','(=(Amount, s(X3)), ','(plus(s(C), NewAmount, Amount), ','(ways(Amount, Coins, N1), ','(ways(NewAmount, .(s(C), Coins), N2), plus(N1, N2, N))))).
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