TSTP Solution File: ARI664_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI664_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 17:02:30 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI664_1 : TPTP v8.1.0. Released v6.3.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:35:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(b_type, type, (
% 0.13/0.39 b: $int)).
% 0.13/0.39 tff(a_type, type, (
% 0.13/0.39 a: $int)).
% 0.13/0.39 tff(1,plain,
% 0.13/0.39 (($sum($product(5, a), $product(11, b)) = 1) <=> ($sum($product(5, a), $product(11, b)) = 1)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(2,axiom,($sum($product(5, a), $product(11, b)) = 1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj')).
% 0.13/0.39 tff(3,plain,
% 0.13/0.39 ($sum($product(5, a), $product(11, b)) = 1),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.39 tff(4,plain,
% 0.13/0.39 ((~($sum($product(5, a), $product(11, b)) = 1)) | $greatereq($sum($product(5, a), $product(11, b)), 1)),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(5,plain,
% 0.13/0.39 ($greatereq($sum($product(5, a), $product(11, b)), 1)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[4, 3])).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 ((~($sum($product(5, a), $product(11, b)) = 1)) | $lesseq($sum($product(5, a), $product(11, b)), 1)),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(7,plain,
% 0.13/0.39 ($lesseq($sum($product(5, a), $product(11, b)), 1)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[6, 3])).
% 0.13/0.39 tff(8,assumption,($greatereq(a, 9)), introduced(assumption)).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 ((~$greatereq(-36, $product(a, b))) <=> (~$lesseq($product(a, b), -36))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 ((~$greatereq(-36, $product(a, b))) <=> (~$greatereq(-36, $product(a, b)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(11,axiom,(~($lesseq(-2, $product(a, b)) | $greatereq(-36, $product(a, b)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj_001')).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (~$greatereq(-36, $product(a, b))),
% 0.13/0.39 inference(or_elim,[status(thm)],[11])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (~$greatereq(-36, $product(a, b))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[12, 10])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (~$lesseq($product(a, b), -36)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 ($greatereq(b, -3) | (~$greatereq(a, 9)) | $lesseq($product(a, b), -36)),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 ($greatereq(b, -3)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[15, 14, 8])).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[16, 8, 7])).
% 0.13/0.39 tff(18,plain,(~$greatereq(a, 9)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(19,assumption,(~$greatereq(a, 1)), introduced(assumption)).
% 0.13/0.39 tff(20,assumption,(b = 1), introduced(assumption)).
% 0.13/0.39 tff(21,assumption,($lesseq(a, -3)), introduced(assumption)).
% 0.13/0.39 tff(22,assumption,($greatereq(b, 6)), introduced(assumption)).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 ($greatereq(a, -5) | (~$greatereq(b, 6)) | $lesseq($product(a, b), -36)),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 ($greatereq(a, -5)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[23, 14, 22])).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[22, 24, 7])).
% 0.13/0.39 tff(26,plain,(~$greatereq(b, 6)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 ((~$lesseq($sum($product(5, a), $product(11, b)), 1)) | (~$greatereq($sum($product(5, a), $product(11, b)), 1)) | $lesseq(b, 1) | $greatereq(b, 6)),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 ($lesseq(b, 1)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[27, 26, 5, 7])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[28, 21, 5])).
% 0.13/0.39 tff(30,plain,(~$lesseq(a, -3)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(31,plain,
% 0.13/0.39 ((~$lesseq(-2, $product(a, b))) <=> (~$greatereq($product(a, b), -2))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 ((~$lesseq(-2, $product(a, b))) <=> (~$lesseq(-2, $product(a, b)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(33,plain,
% 0.13/0.39 (~$lesseq(-2, $product(a, b))),
% 0.13/0.39 inference(or_elim,[status(thm)],[11])).
% 0.13/0.39 tff(34,plain,
% 0.13/0.39 (~$lesseq(-2, $product(a, b))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.13/0.39 tff(35,plain,
% 0.13/0.39 (~$greatereq($product(a, b), -2)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[34, 31])).
% 0.13/0.39 tff(36,plain,
% 0.13/0.39 ((~(b = 1)) | $greatereq($product(a, b), -2) | $lesseq(a, -3)),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(37,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[36, 35, 30, 20])).
% 0.13/0.39 tff(38,plain,(~(b = 1)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(39,plain,
% 0.13/0.39 ((b = 1) | (~$lesseq(b, 1)) | (~$greatereq(b, 1))),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(40,plain,
% 0.13/0.39 ((b = 1) | (~$greatereq(b, 1))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[39, 28])).
% 0.13/0.39 tff(41,plain,
% 0.13/0.39 (~$greatereq(b, 1)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[40, 38])).
% 0.13/0.39 tff(42,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[41, 19, 5])).
% 0.13/0.39 tff(43,plain,($greatereq(a, 1)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(44,plain,
% 0.13/0.39 ((~$greatereq(a, 1)) | $lesseq(b, -4) | (~$greatereq($sum($product(5, a), $product(11, b)), 1)) | (~$lesseq($sum($product(5, a), $product(11, b)), 1)) | $greatereq(a, 9) | $greatereq(b, 1)),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.39 tff(45,plain,
% 0.13/0.39 ($lesseq(b, -4)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[44, 5, 41, 43, 18, 7])).
% 0.13/0.39 tff(46,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(theory_lemma,[status(thm)],[45, 18, 5])).
% 0.13/0.39 % SZS output end Proof
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