TSTP Solution File: ARI663_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI663_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 17:02:30 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ARI663_1 : TPTP v8.1.0. Released v6.3.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 01:37:33 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.33 Usage: tptp [options] [-file:]file
% 0.11/0.33 -h, -? prints this message.
% 0.11/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.33 -m, -model generate model.
% 0.11/0.33 -p, -proof generate proof.
% 0.11/0.33 -c, -core generate unsat core of named formulas.
% 0.11/0.33 -st, -statistics display statistics.
% 0.11/0.33 -t:timeout set timeout (in second).
% 0.11/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.33 -<param>:<value> configuration parameter and value.
% 0.11/0.33 -o:<output-file> file to place output in.
% 0.19/0.37 % SZS status Theorem
% 0.19/0.37 % SZS output start Proof
% 0.19/0.37 tff(a_type, type, (
% 0.19/0.37 a: $int)).
% 0.19/0.37 tff(b_type, type, (
% 0.19/0.37 b: $int)).
% 0.19/0.37 tff(1,assumption,(~$greatereq(a, -15)), introduced(assumption)).
% 0.19/0.37 tff(2,plain,
% 0.19/0.37 (($product(a, b) = 15) <=> ($product(a, b) = 15)),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(3,axiom,($product(a, b) = 15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj')).
% 0.19/0.37 tff(4,plain,
% 0.19/0.37 ($product(a, b) = 15),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.19/0.37 tff(5,plain,
% 0.19/0.37 ((~($product(a, b) = 15)) | $greatereq($product(a, b), 15)),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(6,plain,
% 0.19/0.37 ($greatereq($product(a, b), 15)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[5, 4])).
% 0.19/0.37 tff(7,plain,
% 0.19/0.37 ((~$greatereq(b, 0)) | $greatereq(a, -15) | (~$greatereq($product(a, b), 15))),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(8,plain,
% 0.19/0.37 (~$greatereq(b, 0)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[7, 6, 1])).
% 0.19/0.37 tff(9,plain,
% 0.19/0.37 ((~($product(a, b) = 15)) | $lesseq($product(a, b), 15)),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(10,plain,
% 0.19/0.37 ($lesseq($product(a, b), 15)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[9, 4])).
% 0.19/0.37 tff(11,plain,
% 0.19/0.37 ((~$lesseq($product(a, b), 15)) | $greatereq(a, -15) | $greatereq(b, 0)),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(12,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[11, 10, 1, 8])).
% 0.19/0.37 tff(13,plain,($greatereq(a, -15)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(14,assumption,(~$lesseq(a, 15)), introduced(assumption)).
% 0.19/0.37 tff(15,plain,
% 0.19/0.37 ((~$lesseq(b, 0)) | (~$greatereq($product(a, b), 15)) | $lesseq(a, 15)),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(16,plain,
% 0.19/0.37 (~$lesseq(b, 0)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[15, 6, 14])).
% 0.19/0.37 tff(17,plain,
% 0.19/0.37 ((~$lesseq($product(a, b), 15)) | $lesseq(a, 15) | $lesseq(b, 0)),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(18,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[17, 10, 14, 16])).
% 0.19/0.37 tff(19,plain,($lesseq(a, 15)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(20,plain,
% 0.19/0.37 ((~(~((a = 0) | (~$greatereq(a, -15)) | (~$lesseq(a, 15))))) <=> ((a = 0) | (~$greatereq(a, -15)) | (~$lesseq(a, 15)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(21,plain,
% 0.19/0.37 (((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15)) <=> (~((a = 0) | (~$greatereq(a, -15)) | (~$lesseq(a, 15))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(22,plain,
% 0.19/0.37 ((~((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15))) <=> (~(~((a = 0) | (~$greatereq(a, -15)) | (~$lesseq(a, 15)))))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[21])).
% 0.19/0.37 tff(23,plain,
% 0.19/0.37 ((~((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15))) <=> ((a = 0) | (~$greatereq(a, -15)) | (~$lesseq(a, 15)))),
% 0.19/0.37 inference(transitivity,[status(thm)],[22, 20])).
% 0.19/0.37 tff(24,plain,
% 0.19/0.37 ((~((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15))) <=> (~((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(25,plain,
% 0.19/0.37 ((~(((~(a = 0)) & $greatereq(a, -15)) & $lesseq(a, 15))) <=> (~((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(26,axiom,(~(((~(a = 0)) & $greatereq(a, -15)) & $lesseq(a, 15))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_001')).
% 0.19/0.37 tff(27,plain,
% 0.19/0.37 (~((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.37 tff(28,plain,
% 0.19/0.37 (~((~(a = 0)) & $greatereq(a, -15) & $lesseq(a, 15))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[27, 24])).
% 0.19/0.37 tff(29,plain,
% 0.19/0.37 ((a = 0) | (~$greatereq(a, -15)) | (~$lesseq(a, 15))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[28, 23])).
% 0.19/0.37 tff(30,plain,
% 0.19/0.37 (a = 0),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[29, 19, 13])).
% 0.19/0.37 tff(31,plain,
% 0.19/0.37 ((~(a = 0)) | $greatereq(a, 0)),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(32,plain,
% 0.19/0.37 ($greatereq(a, 0)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.19/0.37 tff(33,plain,
% 0.19/0.37 ((~(a = 0)) | $lesseq(a, 0)),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(34,plain,
% 0.19/0.37 ($lesseq(a, 0)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[33, 30])).
% 0.19/0.37 tff(35,plain,
% 0.19/0.37 ((~$greatereq($product(a, b), 15)) | (~$lesseq(a, 0)) | (~$greatereq(a, 0))),
% 0.19/0.37 inference(theory_lemma,[status(thm)],[])).
% 0.19/0.37 tff(36,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[35, 6, 34, 32])).
% 0.19/0.37 % SZS output end Proof
%------------------------------------------------------------------------------