details

property	value
status	complete
benchmark	untupled_bal_tree.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	terminweb_old

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.1831510067 seconds
cpu usage	4.810554385
max memory	3.7165056E8

stage attributes

key	value
output-size	44995
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Left Termination of the query pattern balance(g,a) w.r.t. the given Prolog program could successfully be proven: (0) Prolog (1) PrologToPiTRSProof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, 3 ms] (4) PiDP (5) DependencyGraphProof [EQUIVALENT, 0 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: balance(T, TB) :- balance55(T, XX0, XX1, [], .(','(nil, -(XX0, XX0)), XX1), [], .(','(TB, -(I, [])), X), X, I, []). balance55(nil, C, T, T, A, B, A, B, X, X). balance55(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT) :- ','(balance55(L, XX0, XX1, .(','(nil, -(XX2, XX2)), XX3), HR1, TR1, H, T, IH, .(V, IT1)), balance55(R, XX2, XX3, NT, HR, TR, HR1, TR1, IT1, IT)). balance5(nil, C, T, T, A, B, A, B, X, X) :- balance55(nil, C, T, T, A, B, A, B, X, X). balance5(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT) :- balance55(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT). balance(nil, -(X, X), -(A, B), -(A, B), -(.(','(nil, -(C, C)), T), T)) :- balance5(nil, C, T, T, A, B, A, B, X, X). balance(tree(L, V, R), -(IH, IT), -(.(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T))), -(HR, TR), -(.(','(nil, -(XX0, XX0)), XX1), NT)) :- balance5(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT). Query: balance(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: balance_in_2: (b,f) balance55_in_10: (b,f,f,b,f,b,f,f,f,b) (b,f,f,f,f,f,f,f,f,f) Transforming Prolog into the following Term Rewriting System: Pi-finite rewrite system: The TRS R consists of the following rules: balance_in_ga(T, TB) -> U1_ga(T, TB, balance55_in_gaagagaaag(T, XX0, XX1, [], .(','(nil, -(XX0, XX0)), XX1), [], .(','(TB, -(I, [])), X), X, I, [])) balance55_in_gaagagaaag(nil, C, T, T, A, B, A, B, X, X) -> balance55_out_gaagagaaag(nil, C, T, T, A, B, A, B, X, X) balance55_in_gaagagaaag(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT) -> U2_gaagagaaag(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_in_gaaaaaaaaa(L, XX0, XX1, .(','(nil, -(XX2, XX2)), XX3), HR1, TR1, H, T, IH, .(V, IT1))) balance55_in_gaaaaaaaaa(nil, C, T, T, A, B, A, B, X, X) -> balance55_out_gaaaaaaaaa(nil, C, T, T, A, B, A, B, X, X) balance55_in_gaaaaaaaaa(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT) -> U2_gaaaaaaaaa(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_in_gaaaaaaaaa(L, XX0, XX1, .(','(nil, -(XX2, XX2)), XX3), HR1, TR1, H, T, IH, .(V, IT1))) U2_gaaaaaaaaa(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_out_gaaaaaaaaa(L, XX0, XX1, .(','(nil, -(XX2, XX2)), XX3), HR1, TR1, H, T, IH, .(V, IT1))) -> U3_gaaaaaaaaa(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_in_gaaaaaaaaa(R, XX2, XX3, NT, HR, TR, HR1, TR1, IT1, IT)) U3_gaaaaaaaaa(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_out_gaaaaaaaaa(R, XX2, XX3, NT, HR, TR, HR1, TR1, IT1, IT)) -> balance55_out_gaaaaaaaaa(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT) U2_gaagagaaag(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_out_gaaaaaaaaa(L, XX0, XX1, .(','(nil, -(XX2, XX2)), XX3), HR1, TR1, H, T, IH, .(V, IT1))) -> U3_gaagagaaag(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_in_gaagagaaag(R, XX2, XX3, NT, HR, TR, HR1, TR1, IT1, IT)) U3_gaagagaaag(L, V, R, XX0, XX1, NT, HR, TR, LB, VB, RB, A, D, H, X, T, IH, IT, balance55_out_gaagagaaag(R, XX2, XX3, NT, HR, TR, HR1, TR1, IT1, IT)) -> balance55_out_gaagagaaag(tree(L, V, R), XX0, XX1, NT, HR, TR, .(','(tree(LB, VB, RB), -(A, D)), H), .(','(LB, -(A, .(VB, X))), .(','(RB, -(X, D)), T)), IH, IT) U1_ga(T, TB, balance55_out_gaagagaaag(T, XX0, XX1, [], .(','(nil, -(XX0, XX0)), XX1), [], .(','(TB, -(I, [])), X), X, I, [])) -> balance_out_ga(T, TB) The argument filtering Pi contains the following mapping: balance_in_ga(x1, x2) = balance_in_ga(x1) U1_ga(x1, x2, x3) = U1_ga(x3) balance55_in_gaagagaaag(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) = balance55_in_gaagagaaag(x1, x4, x6, x10) nil = nil balance55_out_gaagagaaag(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) = balance55_out_gaagagaaag tree(x1, x2, x3) = tree(x1, x2, x3) U2_gaagagaaag(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) = U2_gaagagaaag(x3, x6, x8, x18, x19) balance55_in_gaaaaaaaaa(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) = balance55_in_gaaaaaaaaa(x1) balance55_out_gaaaaaaaaa(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) = balance55_out_gaaaaaaaaa popout

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

job log

popout

actions

all output return to Logic Programming