TSTP Solution File: ARI673_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI673_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 17:02:33 EDT 2022
% Result : Theorem 0.15s 0.40s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ARI673_1 : TPTP v8.1.0. Released v6.3.0.
% 0.13/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 01:34:04 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.36 Usage: tptp [options] [-file:]file
% 0.15/0.36 -h, -? prints this message.
% 0.15/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.36 -m, -model generate model.
% 0.15/0.36 -p, -proof generate proof.
% 0.15/0.36 -c, -core generate unsat core of named formulas.
% 0.15/0.36 -st, -statistics display statistics.
% 0.15/0.36 -t:timeout set timeout (in second).
% 0.15/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.36 -<param>:<value> configuration parameter and value.
% 0.15/0.36 -o:<output-file> file to place output in.
% 0.15/0.40 % SZS status Theorem
% 0.15/0.40 % SZS output start Proof
% 0.15/0.40 tff(a_type, type, (
% 0.15/0.40 a: $int)).
% 0.15/0.40 tff(1,assumption,(~$greatereq(a, -1)), introduced(assumption)).
% 0.15/0.40 tff(2,assumption,(~$lesseq($product(a, a), 1)), introduced(assumption)).
% 0.15/0.40 tff(3,plain,
% 0.15/0.40 ((~($product(a, a) = 1)) | $lesseq($product(a, a), 1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(4,plain,
% 0.15/0.40 (~($product(a, a) = 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[3, 2])).
% 0.15/0.40 tff(5,plain,
% 0.15/0.40 (((~($product(a, a) = 1)) <=> ((a = -1) | (a = 1))) <=> ((~($product(a, a) = 1)) <=> ((a = -1) | (a = 1)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(6,plain,
% 0.15/0.40 ((~(($product(a, a) = 1) <=> ((a = -1) | (a = 1)))) <=> ((~($product(a, a) = 1)) <=> ((a = -1) | (a = 1)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(7,axiom,(~(($product(a, a) = 1) <=> ((a = -1) | (a = 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj')).
% 0.15/0.40 tff(8,plain,
% 0.15/0.40 ((~($product(a, a) = 1)) <=> ((a = -1) | (a = 1))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.15/0.40 tff(9,plain,
% 0.15/0.40 ((~($product(a, a) = 1)) <=> ((a = -1) | (a = 1))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.15/0.40 tff(10,plain,
% 0.15/0.40 (($product(a, a) = 1) | ((a = -1) | (a = 1)) | (~((~($product(a, a) = 1)) <=> ((a = -1) | (a = 1))))),
% 0.15/0.40 inference(tautology,[status(thm)],[])).
% 0.15/0.40 tff(11,plain,
% 0.15/0.40 (($product(a, a) = 1) | ((a = -1) | (a = 1))),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[10, 9])).
% 0.15/0.40 tff(12,plain,
% 0.15/0.40 ((a = -1) | (a = 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[11, 4])).
% 0.15/0.40 tff(13,assumption,(a = -1), introduced(assumption)).
% 0.15/0.40 tff(14,plain,
% 0.15/0.40 ((~(a = -1)) | $greatereq(a, -1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(15,plain,
% 0.15/0.40 ($greatereq(a, -1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.15/0.40 tff(16,plain,
% 0.15/0.40 ((~(a = -1)) | $lesseq(a, -1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(17,plain,
% 0.15/0.40 ($lesseq(a, -1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[16, 13])).
% 0.15/0.40 tff(18,plain,
% 0.15/0.40 ($lesseq($product(a, a), 1) | (~$lesseq(a, -1)) | (~$greatereq(a, -1))),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(19,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[18, 2, 17, 15])).
% 0.15/0.40 tff(20,plain,((~(a = -1)) | $lesseq($product(a, a), 1)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(21,plain,
% 0.15/0.40 (~(a = -1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[20, 2])).
% 0.15/0.40 tff(22,plain,
% 0.15/0.40 ((~((a = -1) | (a = 1))) | (a = -1) | (a = 1)),
% 0.15/0.40 inference(tautology,[status(thm)],[])).
% 0.15/0.40 tff(23,plain,
% 0.15/0.40 (a = 1),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[22, 21, 12])).
% 0.15/0.40 tff(24,plain,
% 0.15/0.40 ((~(a = 1)) | $greatereq(a, 1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(25,plain,
% 0.15/0.40 ($greatereq(a, 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.15/0.40 tff(26,assumption,(~$lesseq(a, 1)), introduced(assumption)).
% 0.15/0.40 tff(27,plain,
% 0.15/0.40 ((~(a = 1)) | $lesseq(a, 1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(28,plain,
% 0.15/0.40 (~(a = 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.15/0.40 tff(29,plain,
% 0.15/0.40 ((~$lesseq(a, -1)) | $lesseq(a, 1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(30,plain,
% 0.15/0.40 (~$lesseq(a, -1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[29, 26])).
% 0.15/0.40 tff(31,plain,
% 0.15/0.40 (~(a = -1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[16, 30])).
% 0.15/0.40 tff(32,plain,
% 0.15/0.40 (~((a = -1) | (a = 1))),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[22, 31, 28])).
% 0.15/0.40 tff(33,plain,
% 0.15/0.40 ($product(a, a) = 1),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[11, 32])).
% 0.15/0.40 tff(34,plain,
% 0.15/0.40 ($lesseq($product(a, a), 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[3, 33])).
% 0.15/0.40 tff(35,plain,
% 0.15/0.40 ((~$lesseq($product(a, a), 1)) | $lesseq(a, 1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(36,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[35, 34, 26])).
% 0.15/0.40 tff(37,plain,($lesseq(a, 1)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(38,plain,
% 0.15/0.40 ((~$lesseq(a, 1)) | $lesseq($product(a, a), 1) | (~$greatereq(a, 1))),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(39,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[38, 2, 37, 25])).
% 0.15/0.40 tff(40,plain,($lesseq($product(a, a), 1)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(41,plain,
% 0.15/0.40 ((~$lesseq($product(a, a), 1)) | $greatereq(a, -1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(42,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[41, 40, 1])).
% 0.15/0.40 tff(43,plain,($greatereq(a, -1)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(44,assumption,(~(a = -1)), introduced(assumption)).
% 0.15/0.40 tff(45,plain,
% 0.15/0.40 ((a = -1) | (~$lesseq(a, -1)) | (~$greatereq(a, -1))),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(46,plain,
% 0.15/0.40 (~$lesseq(a, -1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[45, 44, 43])).
% 0.15/0.40 tff(47,assumption,(~($product(a, a) = 1)), introduced(assumption)).
% 0.15/0.40 tff(48,plain,
% 0.15/0.40 ((a = -1) | (a = 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[11, 47])).
% 0.15/0.40 tff(49,plain,
% 0.15/0.40 (a = 1),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[22, 48, 44])).
% 0.15/0.40 tff(50,plain,
% 0.15/0.40 ($greatereq(a, 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[24, 49])).
% 0.15/0.40 tff(51,plain,
% 0.15/0.40 (($product(a, a) = 1) | (~$lesseq($product(a, a), 1)) | (~$greatereq($product(a, a), 1))),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(52,plain,
% 0.15/0.40 (~$greatereq($product(a, a), 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[51, 47, 40])).
% 0.15/0.40 tff(53,plain,
% 0.15/0.40 ((~$greatereq(a, 1)) | $greatereq($product(a, a), 1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(54,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[53, 52, 50])).
% 0.15/0.40 tff(55,plain,(($product(a, a) = 1) | (a = -1)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(56,plain,
% 0.15/0.40 ($product(a, a) = 1),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[55, 44])).
% 0.15/0.40 tff(57,plain,
% 0.15/0.40 ((~($product(a, a) = 1)) | $greatereq($product(a, a), 1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(58,plain,
% 0.15/0.40 ($greatereq($product(a, a), 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.15/0.40 tff(59,assumption,(~$greatereq(a, 1)), introduced(assumption)).
% 0.15/0.40 tff(60,assumption,(~$lesseq(a, -1)), introduced(assumption)).
% 0.15/0.40 tff(61,assumption,($greatereq($product(a, a), 1)), introduced(assumption)).
% 0.15/0.40 tff(62,plain,
% 0.15/0.40 ((~$greatereq($product(a, a), 1)) | $greatereq(a, 1) | $lesseq(a, -1)),
% 0.15/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.40 tff(63,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[62, 61, 60, 59])).
% 0.15/0.40 tff(64,plain,($lesseq(a, -1) | (~$greatereq($product(a, a), 1)) | $greatereq(a, 1)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(65,plain,
% 0.15/0.40 ($greatereq(a, 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[64, 58, 46])).
% 0.15/0.40 tff(66,plain,
% 0.15/0.40 ((~($product(a, a) = 1)) | (~((a = -1) | (a = 1))) | (~((~($product(a, a) = 1)) <=> ((a = -1) | (a = 1))))),
% 0.15/0.40 inference(tautology,[status(thm)],[])).
% 0.15/0.40 tff(67,plain,
% 0.15/0.40 ((~($product(a, a) = 1)) | (~((a = -1) | (a = 1)))),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[66, 9])).
% 0.15/0.40 tff(68,plain,
% 0.15/0.40 (~((a = -1) | (a = 1))),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[67, 56])).
% 0.15/0.40 tff(69,plain,
% 0.15/0.40 (((a = -1) | (a = 1)) | (~(a = 1))),
% 0.15/0.40 inference(tautology,[status(thm)],[])).
% 0.15/0.40 tff(70,plain,
% 0.15/0.40 (~(a = 1)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[69, 68])).
% 0.15/0.41 tff(71,plain,
% 0.15/0.41 ((a = 1) | (~$lesseq(a, 1)) | (~$greatereq(a, 1))),
% 0.15/0.41 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.41 tff(72,plain,
% 0.15/0.41 ((a = 1) | (~$greatereq(a, 1))),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[71, 37])).
% 0.15/0.41 tff(73,plain,
% 0.15/0.41 ($false),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[72, 70, 65])).
% 0.15/0.41 tff(74,plain,(a = -1), inference(lemma,lemma(discharge,[]))).
% 0.15/0.41 tff(75,plain,
% 0.15/0.41 ($lesseq(a, -1)),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[16, 74])).
% 0.15/0.41 tff(76,plain,
% 0.15/0.41 (((a = -1) | (a = 1)) | (~(a = -1))),
% 0.15/0.41 inference(tautology,[status(thm)],[])).
% 0.15/0.41 tff(77,plain,
% 0.15/0.41 ((a = -1) | (a = 1)),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[76, 74])).
% 0.15/0.41 tff(78,plain,
% 0.15/0.41 (~($product(a, a) = 1)),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[67, 77])).
% 0.15/0.41 tff(79,plain,
% 0.15/0.41 (~$greatereq($product(a, a), 1)),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[51, 78, 40])).
% 0.15/0.41 tff(80,plain,
% 0.15/0.41 ($greatereq($product(a, a), 1) | (~$lesseq(a, -1))),
% 0.15/0.41 inference(theory_lemma,[status(thm)],[])).
% 0.15/0.41 tff(81,plain,
% 0.15/0.41 ($false),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[80, 79, 75])).
% 0.15/0.41 % SZS output end Proof
%------------------------------------------------------------------------------