TSTP Solution File: ARI649_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI649_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 17:02:27 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI649_1 : TPTP v8.1.0. Released v6.3.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 01:28:43 EDT 2022
% 0.14/0.34 % 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.
% 0.14/0.38 % SZS status Theorem
% 0.14/0.38 % SZS output start Proof
% 0.14/0.38 tff(b_type, type, (
% 0.14/0.38 b: $int)).
% 0.14/0.38 tff(a_type, type, (
% 0.14/0.38 a: $int)).
% 0.14/0.38 tff(1,assumption,(~$greatereq($sum(a, $product(-1, b)), 0)), introduced(assumption)).
% 0.14/0.38 tff(2,plain,
% 0.14/0.38 ((-125 = $product(b, $product(b, b))) <=> ($product(b, $product(b, b)) = -125)),
% 0.14/0.38 inference(commutativity,[status(thm)],[])).
% 0.14/0.38 tff(3,plain,
% 0.14/0.38 (($product(b, $product(b, b)) = -125) <=> (-125 = $product(b, $product(b, b)))),
% 0.14/0.38 inference(symmetry,[status(thm)],[2])).
% 0.14/0.38 tff(4,plain,
% 0.14/0.38 (($product(b, $product(b, b)) = -125) <=> ($product(b, $product(b, b)) = -125)),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(5,plain,
% 0.14/0.38 (($product($product(b, b), b) = -125) <=> ($product(b, $product(b, b)) = -125)),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(6,axiom,($product($product(b, b), b) = -125), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_002')).
% 0.14/0.38 tff(7,plain,
% 0.14/0.38 ($product(b, $product(b, b)) = -125),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.14/0.38 tff(8,plain,
% 0.14/0.38 ($product(b, $product(b, b)) = -125),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[7, 4])).
% 0.14/0.38 tff(9,plain,
% 0.14/0.38 (-125 = $product(b, $product(b, b))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.14/0.38 tff(10,plain,
% 0.14/0.38 ((~(-125 = $product(b, $product(b, b)))) | $lesseq($product(b, $product(b, b)), -125)),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(11,plain,
% 0.14/0.38 ($lesseq($product(b, $product(b, b)), -125)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[10, 9])).
% 0.14/0.38 tff(12,plain,
% 0.14/0.38 ($lesseq(b, -5) | (~$lesseq($product(b, $product(b, b)), -125))),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(13,plain,
% 0.14/0.38 ($lesseq(b, -5)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.14/0.38 tff(14,plain,
% 0.14/0.38 (($product(a, a) = 25) <=> ($product(a, a) = 25)),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(15,axiom,($product(a, a) = 25), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_001')).
% 0.14/0.38 tff(16,plain,
% 0.14/0.38 ($product(a, a) = 25),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.14/0.38 tff(17,plain,
% 0.14/0.38 ((~($product(a, a) = 25)) | $lesseq($product(a, a), 25)),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(18,plain,
% 0.14/0.38 ($lesseq($product(a, a), 25)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.14/0.38 tff(19,plain,
% 0.14/0.38 ($greatereq(a, -5) | (~$lesseq($product(a, a), 25))),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(20,plain,
% 0.14/0.38 ($greatereq(a, -5)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.14/0.38 tff(21,plain,
% 0.14/0.38 ($false),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[20, 13, 1])).
% 0.14/0.38 tff(22,plain,($greatereq($sum(a, $product(-1, b)), 0)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.38 tff(23,plain,
% 0.14/0.38 ((~(a = b)) <=> (~(a = b))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(24,axiom,(~(a = b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_003')).
% 0.14/0.38 tff(25,plain,
% 0.14/0.38 (~(a = b)),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.14/0.38 tff(26,plain,
% 0.14/0.38 ((a = b) | (~$lesseq($sum(a, $product(-1, b)), 0)) | (~$greatereq($sum(a, $product(-1, b)), 0))),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(27,plain,
% 0.14/0.38 ((~$lesseq($sum(a, $product(-1, b)), 0)) | (~$greatereq($sum(a, $product(-1, b)), 0))),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.14/0.38 tff(28,plain,
% 0.14/0.38 (~$lesseq($sum(a, $product(-1, b)), 0)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[27, 22])).
% 0.14/0.38 tff(29,plain,
% 0.14/0.38 ((~(-125 = $product(b, $product(b, b)))) | $greatereq($product(b, $product(b, b)), -125)),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(30,plain,
% 0.14/0.38 ($greatereq($product(b, $product(b, b)), -125)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[29, 9])).
% 0.14/0.38 tff(31,plain,
% 0.14/0.38 ($greatereq(b, -5) | (~$greatereq($product(b, $product(b, b)), -125))),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(32,plain,
% 0.14/0.38 ($greatereq(b, -5)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.14/0.38 tff(33,plain,
% 0.14/0.38 ((~($product(a, a) = 25)) | $greatereq($product(a, a), 25)),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(34,plain,
% 0.14/0.38 ($greatereq($product(a, a), 25)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[33, 16])).
% 0.14/0.38 tff(35,plain,
% 0.14/0.38 ((~$lesseq(0, a)) <=> (~$greatereq(a, 0))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(36,plain,
% 0.14/0.38 ((~$lesseq(0, a)) <=> (~$lesseq(0, a))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(37,plain,
% 0.14/0.38 ($less(a, 0) <=> (~$lesseq(0, a))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(38,axiom,($less(a, 0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj')).
% 0.14/0.38 tff(39,plain,
% 0.14/0.38 (~$lesseq(0, a)),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.14/0.38 tff(40,plain,
% 0.14/0.38 (~$lesseq(0, a)),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[39, 36])).
% 0.14/0.38 tff(41,plain,
% 0.14/0.38 (~$greatereq(a, 0)),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[40, 35])).
% 0.14/0.38 tff(42,plain,
% 0.14/0.38 ($lesseq(a, -5) | $greatereq(a, 0) | (~$greatereq($product(a, a), 25))),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.38 tff(43,plain,
% 0.14/0.38 ($lesseq(a, -5)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[42, 41, 34])).
% 0.14/0.38 tff(44,plain,
% 0.14/0.38 ($false),
% 0.14/0.38 inference(theory_lemma,[status(thm)],[43, 32, 28])).
% 0.14/0.38 % SZS output end Proof
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