details

property	value
status	complete
benchmark	zebra.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	talp_mixed

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.09621 seconds
cpu usage	5.37874
user time	5.14343
system time	0.235306
max virtual memory	1.8343848E7
max residence set size	576356.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.pl # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Left Termination of the query pattern zebra(a,a,a,a,a,a,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND, 33 ms] (2) PiTRS (3) DependencyPairsProof [EQUIVALENT, 50 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 4 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 ---------------------------------------- (0) Obligation: Clauses: zebra(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water) :- ','(eq(Englishman, Red), ','(eq(Spaniard, Dog), ','(eq(Green, Coffee), ','(eq(Ukrainian, Tea), ','(to_the_right(Green, Ivory), ','(eq(Winston, Snails), ','(eq(Kool, Yellow), ','(eq(Milk, third), ','(eq(Norwegian, first), ','(next_to(Fox, Chesterfield), ','(next_to(Horse, Kool), ','(eq(Lucky, Juice), ','(eq(Japanese, Parliament), ','(next_to(Norwegian, Blue), ','(houses(.(Blue, .(Green, .(Red, .(Yellow, .(Ivory, [])))))), ','(houses(.(Norwegian, .(Englishman, .(Spaniard, .(Japanese, .(Ukrainian, [])))))), ','(houses(.(Dog, .(Zebra, .(Fox, .(Snails, .(Horse, [])))))), ','(houses(.(Parliament, .(Kool, .(Lucky, .(Chesterfield, .(Winston, [])))))), houses(.(Milk, .(Juice, .(Water, .(Tea, .(Coffee, [])))))))))))))))))))))))). houses(Prop) :- domain(Prop, .(first, .(second, .(third, .(fourth, .(fifth, [])))))). domain([], X1). domain(.(X, Rest), Domain) :- ','(select(X, Domain, NewDomain), domain(Rest, NewDomain)). select(X, .(X, R), R). select(X, .(Y, R), .(Y, Rest)) :- select(X, R, Rest). next_to(fifth, fourth). next_to(fourth, fifth). next_to(fourth, third). next_to(third, fourth). next_to(third, second). next_to(second, third). next_to(second, first). next_to(first, second). to_the_right(fifth, fourth). to_the_right(fourth, third). to_the_right(third, second). to_the_right(second, first). eq(X, X). Query: zebra(a,a,a,a,a,a,a) ---------------------------------------- (1) PrologToPiTRSProof (SOUND) We use the technique of [TOCL09]. With regard to the inferred argument filtering the predicates were used in the following modes: zebra_in_7: (f,f,f,f,f,f,f) houses_in_1: (b) domain_in_2: (b,b) select_in_3: (f,b,f) Transforming Prolog into the following Term Rewriting System: Pi-finite rewrite system: The TRS R consists of the following rules: zebra_in_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water) -> U1_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, eq_in_aa(Englishman, Red)) eq_in_aa(X, X) -> eq_out_aa(X, X) U1_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, eq_out_aa(Englishman, Red)) -> U2_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, eq_in_aa(Spaniard, Dog)) U2_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, eq_out_aa(Spaniard, Dog)) -> U3_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, eq_in_aa(Green, Coffee)) U3_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, eq_out_aa(Green, Coffee)) -> U4_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, eq_in_aa(Ukrainian, Tea)) U4_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, eq_out_aa(Ukrainian, Tea)) -> U5_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, to_the_right_in_aa(Green, Ivory)) to_the_right_in_aa(fifth, fourth) -> to_the_right_out_aa(fifth, fourth) to_the_right_in_aa(fourth, third) -> to_the_right_out_aa(fourth, third) to_the_right_in_aa(third, second) -> to_the_right_out_aa(third, second) to_the_right_in_aa(second, first) -> to_the_right_out_aa(second, first) U5_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, to_the_right_out_aa(Green, Ivory)) -> U6_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, eq_in_aa(Winston, Snails)) U6_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, eq_out_aa(Winston, Snails)) -> U7_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, Winston, Snails, eq_in_aa(Kool, Yellow)) U7_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, Winston, Snails, eq_out_aa(Kool, Yellow)) -> U8_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, Winston, Snails, Kool, Yellow, eq_in_ag(Milk, third)) eq_in_ag(X, X) -> eq_out_ag(X, X) U8_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, Winston, Snails, Kool, Yellow, eq_out_ag(Milk, third)) -> U9_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, Winston, Snails, Kool, Yellow, Milk, eq_in_ag(Norwegian, first)) U9_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, Winston, Snails, Kool, Yellow, Milk, eq_out_ag(Norwegian, first)) -> U10_aaaaaaa(Englishman, Spaniard, Japanese, Ukrainian, Norwegian, Zebra, Water, Red, Dog, Green, Coffee, Tea, Ivory, Winston, Snails, Kool, Yellow, Milk, next_to_in_aa(Fox, Chesterfield)) next_to_in_aa(fifth, fourth) -> next_to_out_aa(fifth, fourth) next_to_in_aa(fourth, fifth) -> next_to_out_aa(fourth, fifth) next_to_in_aa(fourth, third) -> next_to_out_aa(fourth, third) next_to_in_aa(third, fourth) -> next_to_out_aa(third, fourth) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Logic Programming