TSTP Solution File: ARI650_1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI650_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 17:02:27 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI650_1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n029.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 01:40:26 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.
% 0.14/0.39 % SZS status Unsatisfiable
% 0.14/0.39 % SZS output start Proof
% 0.14/0.39 tff(a_type, type, (
% 0.14/0.39 a: $int)).
% 0.14/0.39 tff(1,assumption,(~$greatereq(a, -7)), introduced(assumption)).
% 0.14/0.39 tff(2,plain,
% 0.14/0.39 ($greatereq(60, $product(a, a)) <=> $lesseq($product(a, a), 60)),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(3,plain,
% 0.14/0.39 ($greatereq(60, $product(a, a)) <=> $greatereq(60, $product(a, a))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(4,axiom,($greatereq(60, $product(a, a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj')).
% 0.14/0.39 tff(5,plain,
% 0.14/0.39 ($greatereq(60, $product(a, a))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.14/0.39 tff(6,plain,
% 0.14/0.39 ($lesseq($product(a, a), 60)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.14/0.39 tff(7,plain,
% 0.14/0.39 ((~$lesseq($product(a, a), 60)) | $greatereq(a, -7)),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(8,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[7, 6, 1])).
% 0.14/0.39 tff(9,plain,($greatereq(a, -7)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.39 tff(10,plain,
% 0.14/0.39 ($lesseq(50, $product(a, a)) <=> $greatereq($product(a, a), 50)),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(11,plain,
% 0.14/0.39 ($lesseq(50, $product(a, a)) <=> $lesseq(50, $product(a, a))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(12,axiom,($lesseq(50, $product(a, a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conj_001')).
% 0.14/0.39 tff(13,plain,
% 0.14/0.39 ($lesseq(50, $product(a, a))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.14/0.39 tff(14,plain,
% 0.14/0.39 ($greatereq($product(a, a), 50)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.14/0.39 tff(15,plain,
% 0.14/0.39 ((~$greatereq(a, -7)) | (~$greatereq($product(a, a), 50)) | (~$lesseq($sum($product(a, a), $product(2, a)), 0))),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(16,plain,
% 0.14/0.39 (~$lesseq($sum($product(a, a), $product(2, a)), 0)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[15, 14, 9])).
% 0.14/0.39 tff(17,plain,
% 0.14/0.39 ((~(a = -1)) | (~(a = -1)) | (~$greatereq($product(a, a), 50))),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(18,plain,
% 0.14/0.39 (~(a = -1)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.14/0.39 tff(19,assumption,(~$lesseq(a, 7)), introduced(assumption)).
% 0.14/0.39 tff(20,plain,
% 0.14/0.39 ((~$lesseq($product(a, a), 60)) | $lesseq(a, 7)),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(21,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[20, 6, 19])).
% 0.14/0.39 tff(22,plain,($lesseq(a, 7)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.39 tff(23,assumption,(~$lesseq(a, 0)), introduced(assumption)).
% 0.14/0.39 tff(24,plain,
% 0.14/0.39 ((~$greatereq($product(a, a), 50)) | $lesseq(a, 0) | (~$lesseq(a, 7))),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(25,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[24, 14, 23, 22])).
% 0.14/0.39 tff(26,plain,($lesseq(a, 0)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.39 tff(27,plain,
% 0.14/0.39 ((~(a = 0)) | (~$greatereq($product(a, a), 50))),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(28,plain,
% 0.14/0.39 (~(a = 0)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[27, 14])).
% 0.14/0.39 tff(29,plain,
% 0.14/0.39 ((a = 0) | (~$lesseq(a, 0)) | (~$greatereq(a, 0))),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(30,plain,
% 0.14/0.39 ((~$lesseq(a, 0)) | (~$greatereq(a, 0))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.14/0.39 tff(31,plain,
% 0.14/0.39 (~$greatereq(a, 0)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[30, 26])).
% 0.14/0.39 tff(32,plain,
% 0.14/0.39 ($lesseq(a, -1) | $greatereq(a, 0)),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(33,plain,
% 0.14/0.39 ($lesseq(a, -1)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.14/0.39 tff(34,plain,
% 0.14/0.39 ((a = -1) | (~$lesseq(a, -1)) | (~$greatereq(a, -1))),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(35,plain,
% 0.14/0.39 ((a = -1) | (~$greatereq(a, -1))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.14/0.39 tff(36,plain,
% 0.14/0.39 (~$greatereq(a, -1)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[35, 18])).
% 0.14/0.39 tff(37,plain,
% 0.14/0.39 ((~$greatereq(a, -2)) | $lesseq($sum($product(a, a), $product(2, a)), 0) | $greatereq(a, -1)),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(38,plain,
% 0.14/0.39 ((~$greatereq(a, -2)) | $lesseq($sum($product(a, a), $product(2, a)), 0)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.14/0.39 tff(39,plain,
% 0.14/0.39 (~$greatereq(a, -2)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[38, 16])).
% 0.14/0.39 tff(40,plain,
% 0.14/0.39 ((~$greatereq(a, -7)) | (~$greatereq($product(a, a), 50)) | $greatereq(a, -2)),
% 0.14/0.39 inference(theory_lemma,[status(thm)],[])).
% 0.14/0.39 tff(41,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[40, 14, 39, 9])).
% 0.14/0.39 % SZS output end Proof
%------------------------------------------------------------------------------