TSTP Solution File: SYN393+1.003 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN393+1.003 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 : Thu Sep 29 23:55:08 EDT 2022
% Result : Theorem 0.16s 0.35s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SYN393+1.003 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Sep 5 03:26:02 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.16/0.31 Usage: tptp [options] [-file:]file
% 0.16/0.31 -h, -? prints this message.
% 0.16/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.16/0.31 -m, -model generate model.
% 0.16/0.31 -p, -proof generate proof.
% 0.16/0.31 -c, -core generate unsat core of named formulas.
% 0.16/0.31 -st, -statistics display statistics.
% 0.16/0.31 -t:timeout set timeout (in second).
% 0.16/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.16/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.16/0.31 -<param>:<value> configuration parameter and value.
% 0.16/0.31 -o:<output-file> file to place output in.
% 0.16/0.35 % SZS status Theorem
% 0.16/0.35 % SZS output start Proof
% 0.16/0.35 tff(p2_type, type, (
% 0.16/0.35 p2: $o)).
% 0.16/0.35 tff(p1_type, type, (
% 0.16/0.35 p1: $o)).
% 0.16/0.35 tff(p3_type, type, (
% 0.16/0.35 p3: $o)).
% 0.16/0.35 tff(1,assumption,(~((~p1) <=> p2)), introduced(assumption)).
% 0.16/0.35 tff(2,assumption,(~p1), introduced(assumption)).
% 0.16/0.35 tff(3,plain,
% 0.16/0.35 (((~p1) <=> p2) | p1 | (~p2)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(4,plain,
% 0.16/0.35 (~p2),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[3, 1, 2])).
% 0.16/0.35 tff(5,assumption,(~(p1 <=> (p2 <=> p3))), introduced(assumption)).
% 0.16/0.35 tff(6,plain,
% 0.16/0.35 ((p1 <=> (p2 <=> p3)) | p1 | (p2 <=> p3)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(7,plain,
% 0.16/0.35 (p2 <=> p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[6, 5, 2])).
% 0.16/0.35 tff(8,plain,
% 0.16/0.35 ((~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))) <=> ((((~p1) <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))),
% 0.16/0.35 inference(rewrite,[status(thm)],[])).
% 0.16/0.35 tff(9,axiom,(~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel12')).
% 0.16/0.35 tff(10,plain,
% 0.16/0.35 ((((~p1) <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3))),
% 0.16/0.35 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.16/0.35 tff(11,plain,
% 0.16/0.35 ((~(((~p1) <=> p2) <=> p3)) | (p1 <=> (p2 <=> p3)) | (~((((~p1) <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3))))),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(12,plain,
% 0.16/0.35 ((~(((~p1) <=> p2) <=> p3)) | (p1 <=> (p2 <=> p3))),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.16/0.35 tff(13,plain,
% 0.16/0.35 (~(((~p1) <=> p2) <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[12, 5])).
% 0.16/0.35 tff(14,plain,
% 0.16/0.35 ((((~p1) <=> p2) <=> p3) | ((~p1) <=> p2) | p3),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(15,plain,
% 0.16/0.35 (p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[14, 13, 1])).
% 0.16/0.35 tff(16,plain,
% 0.16/0.35 ((~(p2 <=> p3)) | p2 | (~p3)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(17,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[16, 15, 7, 4])).
% 0.16/0.35 tff(18,plain,((p1 <=> (p2 <=> p3)) | ((~p1) <=> p2) | p1), inference(lemma,lemma(discharge,[]))).
% 0.16/0.35 tff(19,plain,
% 0.16/0.35 (p1 <=> (p2 <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[18, 1, 2])).
% 0.16/0.35 tff(20,plain,
% 0.16/0.35 ((~(p1 <=> (p2 <=> p3))) | p1 | (~(p2 <=> p3))),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(21,plain,
% 0.16/0.35 (~(p2 <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[20, 19, 2])).
% 0.16/0.35 tff(22,plain,
% 0.16/0.35 ((((~p1) <=> p2) <=> p3) | (~(p1 <=> (p2 <=> p3))) | (~((((~p1) <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3))))),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(23,plain,
% 0.16/0.35 ((((~p1) <=> p2) <=> p3) | (~(p1 <=> (p2 <=> p3)))),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[22, 10])).
% 0.16/0.35 tff(24,plain,
% 0.16/0.35 (((~p1) <=> p2) <=> p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[23, 19])).
% 0.16/0.35 tff(25,plain,
% 0.16/0.35 ((~(((~p1) <=> p2) <=> p3)) | ((~p1) <=> p2) | (~p3)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(26,plain,
% 0.16/0.35 (~p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[25, 24, 1])).
% 0.16/0.35 tff(27,plain,
% 0.16/0.35 ((p2 <=> p3) | p2 | p3),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(28,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[27, 26, 21, 4])).
% 0.16/0.35 tff(29,plain,(((~p1) <=> p2) | p1), inference(lemma,lemma(discharge,[]))).
% 0.16/0.35 tff(30,plain,
% 0.16/0.35 ((~p1) <=> p2),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[29, 2])).
% 0.16/0.35 tff(31,plain,
% 0.16/0.35 ((~((~p1) <=> p2)) | p1 | p2),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(32,plain,
% 0.16/0.35 (p2),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[31, 30, 2])).
% 0.16/0.35 tff(33,plain,
% 0.16/0.35 ((((~p1) <=> p2) <=> p3) | (~((~p1) <=> p2)) | (~p3)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(34,plain,
% 0.16/0.35 (~p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[33, 13, 30])).
% 0.16/0.35 tff(35,plain,
% 0.16/0.35 ((~(p2 <=> p3)) | (~p2) | p3),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(36,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[35, 34, 7, 32])).
% 0.16/0.35 tff(37,plain,((p1 <=> (p2 <=> p3)) | p1), inference(lemma,lemma(discharge,[]))).
% 0.16/0.35 tff(38,plain,
% 0.16/0.35 (p1 <=> (p2 <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[37, 2])).
% 0.16/0.35 tff(39,plain,
% 0.16/0.35 (~(p2 <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[20, 38, 2])).
% 0.16/0.35 tff(40,plain,
% 0.16/0.35 (((~p1) <=> p2) <=> p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[23, 38])).
% 0.16/0.35 tff(41,plain,
% 0.16/0.35 ((~(((~p1) <=> p2) <=> p3)) | (~((~p1) <=> p2)) | p3),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(42,plain,
% 0.16/0.35 (p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[41, 40, 30])).
% 0.16/0.35 tff(43,plain,
% 0.16/0.35 ((p2 <=> p3) | (~p2) | (~p3)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(44,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[43, 42, 39, 32])).
% 0.16/0.35 tff(45,plain,(p1), inference(lemma,lemma(discharge,[]))).
% 0.16/0.35 tff(46,plain,
% 0.16/0.35 (((~p1) <=> p2) | (~p1) | p2),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(47,plain,
% 0.16/0.35 (((~p1) <=> p2) | p2),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[46, 45])).
% 0.16/0.35 tff(48,plain,
% 0.16/0.35 (p2),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[47, 1])).
% 0.16/0.35 tff(49,plain,
% 0.16/0.35 ((p1 <=> (p2 <=> p3)) | (~p1) | (~(p2 <=> p3))),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(50,plain,
% 0.16/0.35 ((p1 <=> (p2 <=> p3)) | (~(p2 <=> p3))),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[49, 45])).
% 0.16/0.35 tff(51,plain,
% 0.16/0.35 (~(p2 <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[50, 5])).
% 0.16/0.35 tff(52,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[43, 15, 51, 48])).
% 0.16/0.35 tff(53,plain,((p1 <=> (p2 <=> p3)) | ((~p1) <=> p2)), inference(lemma,lemma(discharge,[]))).
% 0.16/0.35 tff(54,plain,
% 0.16/0.35 (p1 <=> (p2 <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[53, 1])).
% 0.16/0.35 tff(55,plain,
% 0.16/0.35 ((~(p1 <=> (p2 <=> p3))) | (~p1) | (p2 <=> p3)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(56,plain,
% 0.16/0.35 ((~(p1 <=> (p2 <=> p3))) | (p2 <=> p3)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[55, 45])).
% 0.16/0.35 tff(57,plain,
% 0.16/0.35 (p2 <=> p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[56, 54])).
% 0.16/0.35 tff(58,plain,
% 0.16/0.35 (((~p1) <=> p2) <=> p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[23, 54])).
% 0.16/0.35 tff(59,plain,
% 0.16/0.35 (~p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[25, 58, 1])).
% 0.16/0.35 tff(60,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[35, 59, 57, 48])).
% 0.16/0.35 tff(61,plain,((~p1) <=> p2), inference(lemma,lemma(discharge,[]))).
% 0.16/0.35 tff(62,plain,
% 0.16/0.35 ((~((~p1) <=> p2)) | (~p1) | (~p2)),
% 0.16/0.35 inference(tautology,[status(thm)],[])).
% 0.16/0.35 tff(63,plain,
% 0.16/0.35 ((~((~p1) <=> p2)) | (~p2)),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[62, 45])).
% 0.16/0.35 tff(64,plain,
% 0.16/0.35 (~p2),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[63, 61])).
% 0.16/0.35 tff(65,plain,
% 0.16/0.35 (~p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[33, 13, 61])).
% 0.16/0.35 tff(66,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[27, 65, 51, 64])).
% 0.16/0.35 tff(67,plain,(p1 <=> (p2 <=> p3)), inference(lemma,lemma(discharge,[]))).
% 0.16/0.35 tff(68,plain,
% 0.16/0.35 (p2 <=> p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[56, 67])).
% 0.16/0.35 tff(69,plain,
% 0.16/0.35 (((~p1) <=> p2) <=> p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[23, 67])).
% 0.16/0.35 tff(70,plain,
% 0.16/0.35 (p3),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[41, 69, 61])).
% 0.16/0.35 tff(71,plain,
% 0.16/0.35 ($false),
% 0.16/0.35 inference(unit_resolution,[status(thm)],[16, 70, 68, 64])).
% 0.16/0.35 % SZS output end Proof
%------------------------------------------------------------------------------