TSTP Solution File: ARI671_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI671_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 : Unsatisfiable 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI671_1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 01:41:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.21/0.40 % SZS status Unsatisfiable
% 0.21/0.40 % SZS output start Proof
% 0.21/0.40 tff(a_type, type, (
% 0.21/0.40 a: $int)).
% 0.21/0.40 tff(1,plain,
% 0.21/0.40 (($product(a, a) = 2) <=> ($product(a, a) = 2)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(2,axiom,($product(a, a) = 2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj')).
% 0.21/0.40 tff(3,plain,
% 0.21/0.40 ($product(a, a) = 2),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.21/0.40 tff(4,plain,
% 0.21/0.40 ((~($product(a, a) = 2)) | $greatereq($product(a, a), 2)),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(5,plain,
% 0.21/0.40 ($greatereq($product(a, a), 2)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[4, 3])).
% 0.21/0.40 tff(6,plain,
% 0.21/0.40 ((~(a = -1)) | (~(a = -1)) | (~$greatereq($product(a, a), 2))),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(7,plain,
% 0.21/0.40 (~(a = -1)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[6, 5])).
% 0.21/0.40 tff(8,assumption,(~$lesseq(a, 1)), introduced(assumption)).
% 0.21/0.40 tff(9,plain,
% 0.21/0.40 ((~($product(a, a) = 2)) | $lesseq($product(a, a), 2)),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(10,plain,
% 0.21/0.40 ($lesseq($product(a, a), 2)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[9, 3])).
% 0.21/0.40 tff(11,plain,
% 0.21/0.40 ((~$lesseq($product(a, a), 2)) | $lesseq(a, 1)),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(12,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[11, 10, 8])).
% 0.21/0.40 tff(13,plain,($lesseq(a, 1)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(14,assumption,(~$lesseq(a, 0)), introduced(assumption)).
% 0.21/0.40 tff(15,plain,
% 0.21/0.40 ((~$lesseq(a, 1)) | (~$greatereq($product(a, a), 2)) | $lesseq(a, 0)),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(16,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[15, 5, 14, 13])).
% 0.21/0.40 tff(17,plain,($lesseq(a, 0)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(18,plain,
% 0.21/0.40 ((~(a = 0)) | (~$greatereq($product(a, a), 2))),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(19,plain,
% 0.21/0.40 (~(a = 0)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[18, 5])).
% 0.21/0.40 tff(20,plain,
% 0.21/0.40 ((a = 0) | (~$lesseq(a, 0)) | (~$greatereq(a, 0))),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(21,plain,
% 0.21/0.40 ((~$lesseq(a, 0)) | (~$greatereq(a, 0))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.21/0.40 tff(22,plain,
% 0.21/0.40 (~$greatereq(a, 0)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[21, 17])).
% 0.21/0.40 tff(23,plain,
% 0.21/0.40 ($lesseq(a, -1) | $greatereq(a, 0)),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(24,plain,
% 0.21/0.40 ($lesseq(a, -1)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.21/0.40 tff(25,plain,
% 0.21/0.40 ((a = -1) | (~$lesseq(a, -1)) | (~$greatereq(a, -1))),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(26,plain,
% 0.21/0.40 ((a = -1) | (~$greatereq(a, -1))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[25, 24])).
% 0.21/0.40 tff(27,plain,
% 0.21/0.40 (~$greatereq(a, -1)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[26, 7])).
% 0.21/0.40 tff(28,plain,
% 0.21/0.40 ((~$lesseq($product(a, a), 2)) | $greatereq(a, -1)),
% 0.21/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.21/0.40 tff(29,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[28, 10, 27])).
% 0.21/0.40 % SZS output end Proof
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