TSTP Solution File: ARI670_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI670_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 17:02:32 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI670_1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 01:41:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(a_type, type, (
% 0.12/0.38 a: $int)).
% 0.12/0.38 tff(1,plain,
% 0.12/0.38 ((~$lesseq(a, $product(a, a))) <=> (~$lesseq($sum(a, $product(-1, $product(a, a))), 0))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 ((~$lesseq(a, $product(a, a))) <=> (~$lesseq(a, $product(a, a)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(3,axiom,(~$lesseq(a, $product(a, a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj')).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (~$lesseq(a, $product(a, a))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (~$lesseq($sum(a, $product(-1, $product(a, a))), 0)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 ($greatereq($product(a, a), 0)),
% 0.12/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.12/0.38 tff(7,assumption,($greatereq($sum($product(a, a), $product(-1, a)), 0)), introduced(assumption)).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(theory_lemma,[status(thm)],[5, 7])).
% 0.12/0.38 tff(9,plain,(~$greatereq($sum($product(a, a), $product(-1, a)), 0)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(10,assumption,(~$lesseq(a, 0)), introduced(assumption)).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 ($lesseq(a, 0) | $lesseq(a, 0) | (~$lesseq($product(a, a), 0))),
% 0.12/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (~$lesseq($product(a, a), 0)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 ($greatereq($sum($product(a, a), $product(-1, a)), 0) | $lesseq(a, 0) | $lesseq($product(a, a), 0)),
% 0.12/0.38 inference(theory_lemma,[status(thm)],[])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[13, 10, 12, 9])).
% 0.12/0.38 tff(15,plain,($lesseq(a, 0)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(theory_lemma,[status(thm)],[15, 6, 5])).
% 0.12/0.38 % SZS output end Proof
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