TSTP Solution File: ARI654_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI654_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 17:02:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI654_1 : TPTP v8.1.0. Released v6.3.0.
% 0.13/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 01:19:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 0.19/0.38 % SZS status Unsatisfiable
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(z_type, type, (
% 0.19/0.38 z: $int)).
% 0.19/0.38 tff(x_type, type, (
% 0.19/0.38 x: $int)).
% 0.19/0.38 tff(y_type, type, (
% 0.19/0.38 y: $int)).
% 0.19/0.38 tff(1,assumption,($greatereq($sum(x, $product(-1, z)), 1)), introduced(assumption)).
% 0.19/0.38 tff(2,plain,
% 0.19/0.38 ($greatereq($sum($product(-1, y), $product(5, z)), -2) <=> $lesseq($sum(y, $product(-5, z)), 2)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(3,plain,
% 0.19/0.38 ($sum($product(5, z), $product(-1, y)) = $sum($product(-1, y), $product(5, z))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(4,plain,
% 0.19/0.38 ($greatereq($sum($product(5, z), $product(-1, y)), -2) <=> $greatereq($sum($product(-1, y), $product(5, z)), -2)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[3])).
% 0.19/0.38 tff(5,plain,
% 0.19/0.38 ($greatereq($sum($product(5, z), $product(-1, y)), -2) <=> $lesseq($sum(y, $product(-5, z)), 2)),
% 0.19/0.38 inference(transitivity,[status(thm)],[4, 2])).
% 0.19/0.38 tff(6,plain,
% 0.19/0.38 ($greatereq($product(5, z), $sum(-2, y)) <=> $greatereq($sum($product(5, z), $product(-1, y)), -2)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(7,plain,
% 0.19/0.38 ($greatereq($product(5, z), $sum(-2, y)) <=> $greatereq($product(5, z), $sum(-2, y))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(8,plain,
% 0.19/0.38 ($greatereq($product(5, z), $difference(y, 2)) <=> $greatereq($product(5, z), $sum(-2, y))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(9,axiom,($greatereq($product(5, z), $difference(y, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_003')).
% 0.19/0.38 tff(10,plain,
% 0.19/0.38 ($greatereq($product(5, z), $sum(-2, y))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 ($greatereq($product(5, z), $sum(-2, y))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[10, 7])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 ($greatereq($product(5, z), $sum(-2, y))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.19/0.38 tff(13,plain,
% 0.19/0.38 ($greatereq($sum($product(5, z), $product(-1, y)), -2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[12, 6])).
% 0.19/0.38 tff(14,plain,
% 0.19/0.38 ($lesseq($sum(y, $product(-5, z)), 2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[13, 5])).
% 0.19/0.38 tff(15,plain,
% 0.19/0.38 ($greatereq(y, $sum(-1, $product(5, x))) <=> $greatereq($sum(y, $product(-5, x)), -1)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(16,plain,
% 0.19/0.38 ($greatereq(y, $sum(-1, $product(5, x))) <=> $greatereq(y, $sum(-1, $product(5, x)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 ($greatereq(y, $difference($product(5, x), 1)) <=> $greatereq(y, $sum(-1, $product(5, x)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(18,axiom,($greatereq(y, $difference($product(5, x), 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj')).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 ($greatereq(y, $sum(-1, $product(5, x)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 ($greatereq(y, $sum(-1, $product(5, x)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.19/0.38 tff(21,plain,
% 0.19/0.38 ($greatereq(y, $sum(-1, $product(5, x)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.19/0.38 tff(22,plain,
% 0.19/0.38 ($greatereq($sum(y, $product(-5, x)), -1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[21, 15])).
% 0.19/0.38 tff(23,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(theory_lemma,[status(thm)],[22, 14, 1])).
% 0.19/0.38 tff(24,plain,(~$greatereq($sum(x, $product(-1, z)), 1)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 ($lesseq(y, $product(5, x)) <=> $lesseq($sum(y, $product(-5, x)), 0)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 ($lesseq(y, $product(5, x)) <=> $lesseq(y, $product(5, x))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(27,axiom,($lesseq(y, $product(5, x))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_001')).
% 0.19/0.38 tff(28,plain,
% 0.19/0.38 ($lesseq(y, $product(5, x))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.19/0.38 tff(29,plain,
% 0.19/0.38 ($lesseq($sum(y, $product(-5, x)), 0)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[28, 25])).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 ($lesseq($sum($product(-1, y), $product(5, z)), -1) <=> $greatereq($sum(y, $product(-5, z)), 1)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(31,plain,
% 0.19/0.38 ($lesseq($sum($product(5, z), $product(-1, y)), -1) <=> $lesseq($sum($product(-1, y), $product(5, z)), -1)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[3])).
% 0.19/0.38 tff(32,plain,
% 0.19/0.38 ($lesseq($sum($product(5, z), $product(-1, y)), -1) <=> $greatereq($sum(y, $product(-5, z)), 1)),
% 0.19/0.38 inference(transitivity,[status(thm)],[31, 30])).
% 0.19/0.38 tff(33,plain,
% 0.19/0.38 ($lesseq($product(5, z), $sum(-1, y)) <=> $lesseq($sum($product(5, z), $product(-1, y)), -1)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(34,plain,
% 0.19/0.38 ($lesseq($product(5, z), $sum(-1, y)) <=> $lesseq($product(5, z), $sum(-1, y))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(35,plain,
% 0.19/0.38 ($lesseq($product(5, z), $difference(y, 1)) <=> $lesseq($product(5, z), $sum(-1, y))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(36,axiom,($lesseq($product(5, z), $difference(y, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_002')).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 ($lesseq($product(5, z), $sum(-1, y))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 ($lesseq($product(5, z), $sum(-1, y))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[37, 34])).
% 0.19/0.38 tff(39,plain,
% 0.19/0.38 ($lesseq($product(5, z), $sum(-1, y))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.19/0.38 tff(40,plain,
% 0.19/0.38 ($lesseq($sum($product(5, z), $product(-1, y)), -1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[39, 33])).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 ($greatereq($sum(y, $product(-5, z)), 1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[40, 32])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 ((~$lesseq($sum(y, $product(-5, x)), 0)) | (~$greatereq($sum(y, $product(-5, z)), 1)) | $greatereq($sum(x, $product(-1, z)), 1)),
% 0.19/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.38 tff(43,plain,
% 0.19/0.38 ($greatereq($sum(x, $product(-1, z)), 1)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[42, 41, 29])).
% 0.19/0.38 tff(44,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[43, 24])).
% 0.19/0.38 % SZS output end Proof
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