details

property	value
status	complete
benchmark	dis_con.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	talp_dds

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.76741504669 seconds
cpu usage	4.193213833
max memory	2.86838784E8

stage attributes

key	value
output-size	12231
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Left Termination of the query pattern dis(g) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND, 0 ms] (2) PiTRS (3) DependencyPairsProof [EQUIVALENT, 12 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) PiDP (7) PiDPToQDPProof [SOUND, 0 ms] (8) QDP (9) QDPSizeChangeProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Clauses: dis(or(B1, B2)) :- ','(con(B1), dis(B2)). dis(B) :- con(B). con(and(B1, B2)) :- ','(dis(B1), con(B2)). con(B) :- bool(B). bool(0). bool(1). Query: dis(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: dis_in_1: (b) con_in_1: (b) Transforming Prolog into the following Term Rewriting System: Pi-finite rewrite system: The TRS R consists of the following rules: dis_in_g(or(B1, B2)) -> U1_g(B1, B2, con_in_g(B1)) con_in_g(and(B1, B2)) -> U4_g(B1, B2, dis_in_g(B1)) dis_in_g(B) -> U3_g(B, con_in_g(B)) con_in_g(B) -> U6_g(B, bool_in_g(B)) bool_in_g(0) -> bool_out_g(0) bool_in_g(1) -> bool_out_g(1) U6_g(B, bool_out_g(B)) -> con_out_g(B) U3_g(B, con_out_g(B)) -> dis_out_g(B) U4_g(B1, B2, dis_out_g(B1)) -> U5_g(B1, B2, con_in_g(B2)) U5_g(B1, B2, con_out_g(B2)) -> con_out_g(and(B1, B2)) U1_g(B1, B2, con_out_g(B1)) -> U2_g(B1, B2, dis_in_g(B2)) U2_g(B1, B2, dis_out_g(B2)) -> dis_out_g(or(B1, B2)) The argument filtering Pi contains the following mapping: dis_in_g(x1) = dis_in_g(x1) or(x1, x2) = or(x1, x2) U1_g(x1, x2, x3) = U1_g(x2, x3) con_in_g(x1) = con_in_g(x1) and(x1, x2) = and(x1, x2) U4_g(x1, x2, x3) = U4_g(x2, x3) U3_g(x1, x2) = U3_g(x2) U6_g(x1, x2) = U6_g(x2) bool_in_g(x1) = bool_in_g(x1) 0 = 0 bool_out_g(x1) = bool_out_g 1 = 1 con_out_g(x1) = con_out_g dis_out_g(x1) = dis_out_g popout

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actions

all output return to Logic Programming