TSTP Solution File: ARI667_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI667_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 6 17:02:31 EDT 2022
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ARI667_1 : TPTP v8.1.0. Released v6.3.0.
% 0.08/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 01:45:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % SZS output start Proof
% 0.20/0.40 tff(b_type, type, (
% 0.20/0.40 b: $int)).
% 0.20/0.40 tff(a_type, type, (
% 0.20/0.40 a: $int)).
% 0.20/0.40 tff(1,plain,
% 0.20/0.40 (($sum($product(11, a), $product(7, b)) = 1) <=> ($sum($product(11, a), $product(7, b)) = 1)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(2,axiom,($sum($product(11, a), $product(7, b)) = 1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj')).
% 0.20/0.40 tff(3,plain,
% 0.20/0.40 ($sum($product(11, a), $product(7, b)) = 1),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.40 tff(4,plain,
% 0.20/0.40 ((~($sum($product(11, a), $product(7, b)) = 1)) | $greatereq($sum($product(11, a), $product(7, b)), 1)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(5,plain,
% 0.20/0.40 ($greatereq($sum($product(11, a), $product(7, b)), 1)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[4, 3])).
% 0.20/0.40 tff(6,plain,
% 0.20/0.40 ((~($sum($product(11, a), $product(7, b)) = 1)) | $lesseq($sum($product(11, a), $product(7, b)), 1)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(7,plain,
% 0.20/0.40 ($lesseq($sum($product(11, a), $product(7, b)), 1)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[6, 3])).
% 0.20/0.40 tff(8,assumption,($greatereq(a, 9)), introduced(assumption)).
% 0.20/0.40 tff(9,plain,
% 0.20/0.40 ((~$greatereq(-40, $product(a, b))) <=> (~$lesseq($product(a, b), -40))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(10,plain,
% 0.20/0.40 ((~$greatereq(-40, $product(a, b))) <=> (~$greatereq(-40, $product(a, b)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(11,axiom,(~($lesseq(-6, $product(a, b)) | $greatereq(-40, $product(a, b)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj_001')).
% 0.20/0.40 tff(12,plain,
% 0.20/0.40 (~$greatereq(-40, $product(a, b))),
% 0.20/0.40 inference(or_elim,[status(thm)],[11])).
% 0.20/0.40 tff(13,plain,
% 0.20/0.40 (~$greatereq(-40, $product(a, b))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[12, 10])).
% 0.20/0.40 tff(14,plain,
% 0.20/0.40 (~$lesseq($product(a, b), -40)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.20/0.40 tff(15,plain,
% 0.20/0.40 ($greatereq(b, -4) | (~$greatereq(a, 9)) | $lesseq($product(a, b), -40)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(16,plain,
% 0.20/0.40 ($greatereq(b, -4)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[15, 14, 8])).
% 0.20/0.40 tff(17,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[16, 8, 7])).
% 0.20/0.40 tff(18,plain,(~$greatereq(a, 9)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(19,plain,
% 0.20/0.40 ((~$lesseq($sum($product(11, a), $product(7, b)), 1)) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | (~$greatereq(a, 7)) | $greatereq(a, 9)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(20,plain,
% 0.20/0.40 (~$greatereq(a, 7)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[19, 18, 5, 7])).
% 0.20/0.40 tff(21,plain,
% 0.20/0.40 ((~$lesseq($sum($product(11, a), $product(7, b)), 1)) | (~$greatereq(a, 5)) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | $greatereq(a, 7)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(22,plain,
% 0.20/0.40 (~$greatereq(a, 5)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[21, 20, 5, 7])).
% 0.20/0.40 tff(23,plain,
% 0.20/0.40 ((~$lesseq($sum($product(11, a), $product(7, b)), 1)) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | $lesseq(a, 2) | $greatereq(a, 5)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(24,plain,
% 0.20/0.40 ($lesseq(a, 2)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[23, 22, 5, 7])).
% 0.20/0.40 tff(25,assumption,($lesseq(a, 0)), introduced(assumption)).
% 0.20/0.40 tff(26,assumption,(~$lesseq(b, 0)), introduced(assumption)).
% 0.20/0.40 tff(27,plain,
% 0.20/0.40 ($lesseq(b, 0) | (~$lesseq($sum($product(11, a), $product(7, b)), 1)) | (~$greatereq(a, 0))),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 (~$greatereq(a, 0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[27, 26, 7])).
% 0.20/0.40 tff(29,plain,
% 0.20/0.40 ((~$greatereq(a, 1)) | $greatereq(a, 0)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(30,plain,
% 0.20/0.40 (~$greatereq(a, 1)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.20/0.40 tff(31,assumption,($greatereq(b, 8)), introduced(assumption)).
% 0.20/0.40 tff(32,plain,
% 0.20/0.40 ($greatereq(a, -4) | (~$greatereq(b, 8)) | $lesseq($product(a, b), -40)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 ($greatereq(a, -4)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[32, 14, 31])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[31, 33, 7])).
% 0.20/0.40 tff(35,plain,(~$greatereq(b, 8)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 ((~$greatereq(b, 7)) | (~$lesseq($sum($product(11, a), $product(7, b)), 1)) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | $greatereq(b, 8)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(37,plain,
% 0.20/0.40 (~$greatereq(b, 7)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[36, 35, 5, 7])).
% 0.20/0.40 tff(38,plain,
% 0.20/0.40 ((~$lesseq($sum($product(11, a), $product(7, b)), 1)) | $lesseq(b, 0) | $greatereq(b, 7) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | $lesseq(b, 4)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 ($lesseq(b, 4)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[38, 26, 5, 7, 37])).
% 0.20/0.40 tff(40,assumption,($lesseq(a, -2)), introduced(assumption)).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 ((~$lesseq($sum($product(11, a), $product(7, b)), 1)) | $lesseq(b, 0) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | (~$lesseq(b, 4)) | $lesseq(b, 2)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 ($lesseq(b, 2)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[41, 26, 5, 39, 7])).
% 0.20/0.40 tff(43,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[42, 40, 5])).
% 0.20/0.40 tff(44,plain,((~$lesseq(a, -2)) | $lesseq(b, 0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(45,plain,
% 0.20/0.40 (~$lesseq(a, -2)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[44, 26])).
% 0.20/0.40 tff(46,plain,
% 0.20/0.40 ((~$lesseq($sum($product(11, a), $product(7, b)), 1)) | $lesseq(b, 0) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | (~$lesseq(b, 4)) | $lesseq(a, -2) | $greatereq(a, 1)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(47,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[46, 26, 45, 7, 5, 39, 30])).
% 0.20/0.40 tff(48,plain,($lesseq(b, 0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(49,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[48, 25, 5])).
% 0.20/0.40 tff(50,plain,(~$lesseq(a, 0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(51,assumption,(~$lesseq(b, -2)), introduced(assumption)).
% 0.20/0.40 tff(52,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[51, 50, 7])).
% 0.20/0.40 tff(53,plain,($lesseq(b, -2)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(54,plain,
% 0.20/0.40 ((~$lesseq($sum($product(11, a), $product(7, b)), 1)) | (~$greatereq($sum($product(11, a), $product(7, b)), 1)) | (~$lesseq(b, -2)) | $lesseq(b, -3)),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(55,plain,
% 0.20/0.40 ($lesseq(b, -3)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[54, 5, 53, 7])).
% 0.20/0.40 tff(56,plain,
% 0.20/0.40 ((~$lesseq(a, 2)) | $lesseq($sum($product(2, b), $product(-1, $product(a, b))), 0) | (~$lesseq(b, -3))),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.20/0.40 tff(57,plain,
% 0.20/0.40 ((~$lesseq(a, 2)) | $lesseq($sum($product(2, b), $product(-1, $product(a, b))), 0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.20/0.40 tff(58,plain,
% 0.20/0.40 ($lesseq($sum($product(2, b), $product(-1, $product(a, b))), 0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[57, 24])).
% 0.20/0.40 tff(59,plain,
% 0.20/0.40 ((~$lesseq(-6, $product(a, b))) <=> (~$greatereq($product(a, b), -6))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(60,plain,
% 0.20/0.40 ((~$lesseq(-6, $product(a, b))) <=> (~$lesseq(-6, $product(a, b)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(61,plain,
% 0.20/0.40 (~$lesseq(-6, $product(a, b))),
% 0.20/0.40 inference(or_elim,[status(thm)],[11])).
% 0.20/0.40 tff(62,plain,
% 0.20/0.40 (~$lesseq(-6, $product(a, b))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.20/0.40 tff(63,plain,
% 0.20/0.40 (~$greatereq($product(a, b), -6)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[62, 59])).
% 0.20/0.40 tff(64,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(theory_lemma,[status(thm)],[63, 58, 24, 5])).
% 0.20/0.40 % SZS output end Proof
%------------------------------------------------------------------------------