details

property	value
status	complete
benchmark	gopher.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	SGST06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.89155 seconds
cpu usage	4.3369
user time	4.07992
system time	0.256974
max virtual memory	1.9473164E7
max residence set size	421440.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.pl # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Left Termination of the query pattern gopher(g,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND, 0 ms] (2) PiTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) PiDP (7) UsableRulesProof [EQUIVALENT, 0 ms] (8) PiDP (9) PiDPToQDPProof [SOUND, 0 ms] (10) QDP (11) MRRProof [EQUIVALENT, 2 ms] (12) QDP (13) PisEmptyProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Clauses: gopher(nil, nil). gopher(cons(nil, Y), cons(nil, Y)). gopher(cons(cons(U, V), W), X) :- gopher(cons(U, cons(V, W)), X). Query: gopher(g,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: gopher_in_2: (b,f) Transforming Prolog into the following Term Rewriting System: Pi-finite rewrite system: The TRS R consists of the following rules: gopher_in_ga(nil, nil) -> gopher_out_ga(nil, nil) gopher_in_ga(cons(nil, Y), cons(nil, Y)) -> gopher_out_ga(cons(nil, Y), cons(nil, Y)) gopher_in_ga(cons(cons(U, V), W), X) -> U1_ga(U, V, W, X, gopher_in_ga(cons(U, cons(V, W)), X)) U1_ga(U, V, W, X, gopher_out_ga(cons(U, cons(V, W)), X)) -> gopher_out_ga(cons(cons(U, V), W), X) The argument filtering Pi contains the following mapping: gopher_in_ga(x1, x2) = gopher_in_ga(x1) nil = nil gopher_out_ga(x1, x2) = gopher_out_ga(x2) cons(x1, x2) = cons(x1, x2) U1_ga(x1, x2, x3, x4, x5) = U1_ga(x5) Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog ---------------------------------------- (2) Obligation: Pi-finite rewrite system: The TRS R consists of the following rules: gopher_in_ga(nil, nil) -> gopher_out_ga(nil, nil) gopher_in_ga(cons(nil, Y), cons(nil, Y)) -> gopher_out_ga(cons(nil, Y), cons(nil, Y)) gopher_in_ga(cons(cons(U, V), W), X) -> U1_ga(U, V, W, X, gopher_in_ga(cons(U, cons(V, W)), X)) U1_ga(U, V, W, X, gopher_out_ga(cons(U, cons(V, W)), X)) -> gopher_out_ga(cons(cons(U, V), W), X) The argument filtering Pi contains the following mapping: gopher_in_ga(x1, x2) = gopher_in_ga(x1) nil = nil gopher_out_ga(x1, x2) = gopher_out_ga(x2) cons(x1, x2) = cons(x1, x2) U1_ga(x1, x2, x3, x4, x5) = U1_ga(x5) popout

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