details

property	value
status	complete
benchmark	append.pl
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	talp_apt

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69358992577 seconds
cpu usage	3.806927703
max memory	2.680832E8

stage attributes

key	value
output-size	6969
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.pl /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.pl # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Left Termination of the query pattern app2(a,g,g) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof [SOUND,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) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: Clauses: app1(.(X, Xs), Ys, .(X, Zs)) :- app1(Xs, Ys, Zs). app1([], Ys, Ys). app2(.(X, Xs), Ys, .(X, Zs)) :- app2(Xs, Ys, Zs). app2([], Ys, Ys). Query: app2(a,g,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: app2_in_3: (f,b,b) Transforming Prolog into the following Term Rewriting System: Pi-finite rewrite system: The TRS R consists of the following rules: app2_in_agg(.(X, Xs), Ys, .(X, Zs)) -> U2_agg(X, Xs, Ys, Zs, app2_in_agg(Xs, Ys, Zs)) app2_in_agg([], Ys, Ys) -> app2_out_agg([], Ys, Ys) U2_agg(X, Xs, Ys, Zs, app2_out_agg(Xs, Ys, Zs)) -> app2_out_agg(.(X, Xs), Ys, .(X, Zs)) The argument filtering Pi contains the following mapping: app2_in_agg(x1, x2, x3) = app2_in_agg(x2, x3) .(x1, x2) = .(x1, x2) U2_agg(x1, x2, x3, x4, x5) = U2_agg(x1, x3, x4, x5) app2_out_agg(x1, x2, x3) = app2_out_agg(x1, x2, x3) Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog ---------------------------------------- (2) Obligation: Pi-finite rewrite system: The TRS R consists of the following rules: app2_in_agg(.(X, Xs), Ys, .(X, Zs)) -> U2_agg(X, Xs, Ys, Zs, app2_in_agg(Xs, Ys, Zs)) app2_in_agg([], Ys, Ys) -> app2_out_agg([], Ys, Ys) U2_agg(X, Xs, Ys, Zs, app2_out_agg(Xs, Ys, Zs)) -> app2_out_agg(.(X, Xs), Ys, .(X, Zs)) The argument filtering Pi contains the following mapping: app2_in_agg(x1, x2, x3) = app2_in_agg(x2, x3) .(x1, x2) = .(x1, x2) U2_agg(x1, x2, x3, x4, x5) = U2_agg(x1, x3, x4, x5) app2_out_agg(x1, x2, x3) = app2_out_agg(x1, x2, x3) popout

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