TSTP Solution File: SYN098-1.002 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 23:53:44 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 01:55:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 tff(sym_p_3_type, type, (
% 0.12/0.39 sym_p_3: $o)).
% 0.12/0.39 tff(sym_q_1_type, type, (
% 0.12/0.39 sym_q_1: $o)).
% 0.12/0.39 tff(sym_p_2_type, type, (
% 0.12/0.39 sym_p_2: $o)).
% 0.12/0.39 tff(sym_u_14_type, type, (
% 0.12/0.39 sym_u_14: $o)).
% 0.12/0.39 tff(sym_q_0_type, type, (
% 0.12/0.39 sym_q_0: $o)).
% 0.12/0.39 tff(sym_p_0_type, type, (
% 0.12/0.39 sym_p_0: $o)).
% 0.12/0.39 tff(sym_q_2_type, type, (
% 0.12/0.39 sym_q_2: $o)).
% 0.12/0.39 tff(sym_u_16_type, type, (
% 0.12/0.39 sym_u_16: $o)).
% 0.12/0.39 tff(sym_u_3_type, type, (
% 0.12/0.39 sym_u_3: $o)).
% 0.12/0.39 tff(sym_u_1_type, type, (
% 0.12/0.39 sym_u_1: $o)).
% 0.12/0.39 tff(sym_u_7_type, type, (
% 0.12/0.39 sym_u_7: $o)).
% 0.12/0.39 tff(sym_u_9_type, type, (
% 0.12/0.39 sym_u_9: $o)).
% 0.12/0.39 tff(sym_u_15_type, type, (
% 0.12/0.39 sym_u_15: $o)).
% 0.12/0.39 tff(1,assumption,(~sym_q_1), introduced(assumption)).
% 0.12/0.39 tff(2,assumption,(sym_p_2), introduced(assumption)).
% 0.12/0.39 tff(3,plain,
% 0.12/0.39 (((~sym_u_14) | (~sym_p_2)) <=> ((~sym_u_14) | (~sym_p_2))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(4,axiom,((~sym_u_14) | (~sym_p_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_t3_1')).
% 0.12/0.39 tff(5,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.39 tff(6,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[5, 3])).
% 0.12/0.39 tff(7,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.12/0.39 tff(8,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.39 tff(9,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.12/0.39 tff(10,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.12/0.39 tff(11,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.39 tff(12,plain,
% 0.12/0.39 ((~sym_u_14) | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.12/0.39 tff(13,plain,
% 0.12/0.39 (~sym_u_14),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[12, 2])).
% 0.12/0.39 tff(14,plain,
% 0.12/0.39 (((~sym_p_2) | sym_u_14) <=> (sym_u_14 | (~sym_p_2))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(15,axiom,((~sym_p_2) | sym_u_14), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_14_t3_1')).
% 0.12/0.39 tff(16,plain,
% 0.12/0.39 (sym_u_14 | (~sym_p_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.12/0.39 tff(17,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[16, 13, 2])).
% 0.12/0.39 tff(18,plain,(~sym_p_2), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(19,assumption,(sym_q_2), introduced(assumption)).
% 0.12/0.39 tff(20,plain,
% 0.12/0.39 (((~sym_u_16) | (~sym_q_2)) <=> ((~sym_u_16) | (~sym_q_2))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(21,axiom,((~sym_u_16) | (~sym_q_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_t3_3')).
% 0.12/0.39 tff(22,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[22, 20])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[23, 20])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.12/0.39 tff(26,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[25, 20])).
% 0.12/0.39 tff(27,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[26, 20])).
% 0.12/0.39 tff(28,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 ((~sym_u_16) | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[28, 20])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 (~sym_u_16),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[29, 19])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 (((~sym_q_2) | sym_u_16) <=> (sym_u_16 | (~sym_q_2))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(32,axiom,((~sym_q_2) | sym_u_16), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_16_t3_3')).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 (sym_u_16 | (~sym_q_2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.12/0.39 tff(34,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[33, 30, 19])).
% 0.12/0.39 tff(35,plain,(~sym_q_2), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(36,assumption,(sym_p_0), introduced(assumption)).
% 0.12/0.39 tff(37,plain,
% 0.12/0.39 (((~sym_p_0) | sym_u_3) <=> ((~sym_p_0) | sym_u_3)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(38,axiom,((~sym_p_0) | sym_u_3), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_3_s3_type11_2')).
% 0.12/0.39 tff(39,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.12/0.39 tff(40,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[39, 37])).
% 0.12/0.39 tff(41,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[40, 37])).
% 0.12/0.39 tff(42,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.12/0.39 tff(43,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[42, 37])).
% 0.12/0.39 tff(44,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[43, 37])).
% 0.12/0.39 tff(45,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.12/0.39 tff(46,plain,
% 0.12/0.39 ((~sym_p_0) | sym_u_3),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[45, 37])).
% 0.12/0.39 tff(47,plain,
% 0.12/0.39 (sym_u_3),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[46, 36])).
% 0.12/0.39 tff(48,plain,
% 0.12/0.39 (((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2) <=> ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(49,plain,
% 0.12/0.39 ((((~sym_p_0) | (~sym_u_3) | sym_q_1) | sym_q_2) <=> ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(50,plain,
% 0.12/0.39 ((((~sym_p_0) | (~sym_u_3)) | sym_q_1) <=> ((~sym_p_0) | (~sym_u_3) | sym_q_1)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(51,plain,
% 0.12/0.39 (((~sym_u_3) | (~sym_p_0)) <=> ((~sym_p_0) | (~sym_u_3))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(52,plain,
% 0.12/0.39 ((((~sym_u_3) | (~sym_p_0)) | sym_q_1) <=> (((~sym_p_0) | (~sym_u_3)) | sym_q_1)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[51])).
% 0.12/0.39 tff(53,plain,
% 0.12/0.39 ((((~sym_u_3) | (~sym_p_0)) | sym_q_1) <=> ((~sym_p_0) | (~sym_u_3) | sym_q_1)),
% 0.12/0.39 inference(transitivity,[status(thm)],[52, 50])).
% 0.12/0.39 tff(54,plain,
% 0.12/0.39 (((((~sym_u_3) | (~sym_p_0)) | sym_q_1) | sym_q_2) <=> (((~sym_p_0) | (~sym_u_3) | sym_q_1) | sym_q_2)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[53])).
% 0.12/0.39 tff(55,plain,
% 0.12/0.39 (((((~sym_u_3) | (~sym_p_0)) | sym_q_1) | sym_q_2) <=> ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2)),
% 0.12/0.39 inference(transitivity,[status(thm)],[54, 49])).
% 0.12/0.39 tff(56,axiom,((((~sym_u_3) | (~sym_p_0)) | sym_q_1) | sym_q_2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_s3_type11_2')).
% 0.12/0.39 tff(57,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.12/0.39 tff(58,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[57, 48])).
% 0.12/0.39 tff(59,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[58, 48])).
% 0.12/0.39 tff(60,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[59, 48])).
% 0.12/0.39 tff(61,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[60, 48])).
% 0.12/0.39 tff(62,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[61, 48])).
% 0.12/0.39 tff(63,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[62, 48])).
% 0.12/0.39 tff(64,plain,
% 0.12/0.39 ((~sym_p_0) | (~sym_u_3) | sym_q_1 | sym_q_2),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[63, 48])).
% 0.12/0.39 tff(65,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[64, 47, 36, 1, 35])).
% 0.12/0.39 tff(66,plain,((~sym_p_0) | sym_q_1), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(67,plain,
% 0.12/0.39 (~sym_p_0),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[66, 1])).
% 0.12/0.39 tff(68,plain,
% 0.12/0.39 (($false | sym_p_0 | sym_q_0) <=> (sym_p_0 | sym_q_0)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(69,plain,
% 0.12/0.39 ((~$true) <=> $false),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(70,axiom,(sym_u_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_1_s3_goal_1')).
% 0.12/0.39 tff(71,plain,
% 0.12/0.39 (sym_u_1 <=> $true),
% 0.12/0.39 inference(iff_true,[status(thm)],[70])).
% 0.12/0.39 tff(72,plain,
% 0.12/0.39 ((~sym_u_1) <=> (~$true)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[71])).
% 0.12/0.39 tff(73,plain,
% 0.12/0.39 ((~sym_u_1) <=> $false),
% 0.12/0.39 inference(transitivity,[status(thm)],[72, 69])).
% 0.12/0.39 tff(74,plain,
% 0.12/0.39 (((~sym_u_1) | sym_p_0 | sym_q_0) <=> ($false | sym_p_0 | sym_q_0)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[73])).
% 0.12/0.39 tff(75,plain,
% 0.12/0.39 (((~sym_u_1) | sym_p_0 | sym_q_0) <=> (sym_p_0 | sym_q_0)),
% 0.12/0.39 inference(transitivity,[status(thm)],[74, 68])).
% 0.12/0.39 tff(76,plain,
% 0.12/0.39 (((~sym_u_1) | sym_p_0 | sym_q_0) <=> ((~sym_u_1) | sym_p_0 | sym_q_0)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(77,plain,
% 0.12/0.39 ((((~sym_u_1) | sym_p_0) | sym_q_0) <=> ((~sym_u_1) | sym_p_0 | sym_q_0)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(78,plain,
% 0.12/0.39 (((~sym_u_1) | sym_p_0) <=> ((~sym_u_1) | sym_p_0)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(79,plain,
% 0.12/0.39 ((((~sym_u_1) | sym_p_0) | sym_q_0) <=> (((~sym_u_1) | sym_p_0) | sym_q_0)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[78])).
% 0.12/0.39 tff(80,plain,
% 0.12/0.39 ((((~sym_u_1) | sym_p_0) | sym_q_0) <=> ((~sym_u_1) | sym_p_0 | sym_q_0)),
% 0.12/0.39 inference(transitivity,[status(thm)],[79, 77])).
% 0.12/0.39 tff(81,axiom,(((~sym_u_1) | sym_p_0) | sym_q_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_s3_goal_1')).
% 0.12/0.39 tff(82,plain,
% 0.12/0.39 ((~sym_u_1) | sym_p_0 | sym_q_0),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.12/0.39 tff(83,plain,
% 0.12/0.39 ((~sym_u_1) | sym_p_0 | sym_q_0),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[82, 76])).
% 0.12/0.39 tff(84,plain,
% 0.12/0.39 ((~sym_u_1) | sym_p_0 | sym_q_0),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[83, 76])).
% 0.12/0.39 tff(85,plain,
% 0.12/0.39 (sym_p_0 | sym_q_0),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[84, 75])).
% 0.12/0.39 tff(86,plain,
% 0.12/0.39 (sym_q_0),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[85, 67])).
% 0.12/0.39 tff(87,plain,
% 0.12/0.39 (((~sym_q_0) | sym_u_7) <=> ((~sym_q_0) | sym_u_7)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(88,axiom,((~sym_q_0) | sym_u_7), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_7_s3_type12_2')).
% 0.12/0.39 tff(89,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.12/0.39 tff(90,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[89, 87])).
% 0.12/0.39 tff(91,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[90, 87])).
% 0.12/0.39 tff(92,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[91, 87])).
% 0.12/0.39 tff(93,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[92, 87])).
% 0.12/0.39 tff(94,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[93, 87])).
% 0.12/0.39 tff(95,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[94, 87])).
% 0.12/0.39 tff(96,plain,
% 0.12/0.39 ((~sym_q_0) | sym_u_7),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[95, 87])).
% 0.12/0.39 tff(97,plain,
% 0.12/0.39 (sym_u_7),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[96, 86])).
% 0.12/0.39 tff(98,plain,
% 0.12/0.39 (((sym_q_1 | (~sym_q_0) | (~sym_u_7)) | sym_p_2) <=> (sym_p_2 | sym_q_1 | (~sym_q_0) | (~sym_u_7))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(99,plain,
% 0.12/0.39 ((((~sym_q_0) | (~sym_u_7)) | sym_q_1) <=> (sym_q_1 | (~sym_q_0) | (~sym_u_7))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(100,plain,
% 0.12/0.39 (((~sym_u_7) | (~sym_q_0)) <=> ((~sym_q_0) | (~sym_u_7))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(101,plain,
% 0.12/0.39 ((((~sym_u_7) | (~sym_q_0)) | sym_q_1) <=> (((~sym_q_0) | (~sym_u_7)) | sym_q_1)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[100])).
% 0.12/0.39 tff(102,plain,
% 0.12/0.39 ((((~sym_u_7) | (~sym_q_0)) | sym_q_1) <=> (sym_q_1 | (~sym_q_0) | (~sym_u_7))),
% 0.12/0.39 inference(transitivity,[status(thm)],[101, 99])).
% 0.12/0.39 tff(103,plain,
% 0.12/0.39 (((((~sym_u_7) | (~sym_q_0)) | sym_q_1) | sym_p_2) <=> ((sym_q_1 | (~sym_q_0) | (~sym_u_7)) | sym_p_2)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[102])).
% 0.12/0.39 tff(104,plain,
% 0.12/0.39 (((((~sym_u_7) | (~sym_q_0)) | sym_q_1) | sym_p_2) <=> (sym_p_2 | sym_q_1 | (~sym_q_0) | (~sym_u_7))),
% 0.12/0.39 inference(transitivity,[status(thm)],[103, 98])).
% 0.12/0.39 tff(105,axiom,((((~sym_u_7) | (~sym_q_0)) | sym_q_1) | sym_p_2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_s3_type12_2')).
% 0.12/0.39 tff(106,plain,
% 0.12/0.39 (sym_p_2 | sym_q_1 | (~sym_q_0) | (~sym_u_7)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.12/0.39 tff(107,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[106, 97, 86, 18, 1])).
% 0.12/0.39 tff(108,plain,(sym_q_1), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(109,assumption,(sym_q_1), introduced(assumption)).
% 0.12/0.39 tff(110,assumption,(~sym_p_3), introduced(assumption)).
% 0.12/0.39 tff(111,plain,
% 0.12/0.39 ((sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)) <=> (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(112,plain,
% 0.12/0.39 (((sym_q_2 | (~sym_q_1) | (~sym_u_9)) | sym_p_3) <=> (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(113,plain,
% 0.12/0.39 ((((~sym_q_1) | (~sym_u_9)) | sym_q_2) <=> (sym_q_2 | (~sym_q_1) | (~sym_u_9))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(114,plain,
% 0.12/0.39 (((~sym_u_9) | (~sym_q_1)) <=> ((~sym_q_1) | (~sym_u_9))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(115,plain,
% 0.12/0.39 ((((~sym_u_9) | (~sym_q_1)) | sym_q_2) <=> (((~sym_q_1) | (~sym_u_9)) | sym_q_2)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[114])).
% 0.12/0.39 tff(116,plain,
% 0.12/0.39 ((((~sym_u_9) | (~sym_q_1)) | sym_q_2) <=> (sym_q_2 | (~sym_q_1) | (~sym_u_9))),
% 0.12/0.39 inference(transitivity,[status(thm)],[115, 113])).
% 0.12/0.39 tff(117,plain,
% 0.12/0.39 (((((~sym_u_9) | (~sym_q_1)) | sym_q_2) | sym_p_3) <=> ((sym_q_2 | (~sym_q_1) | (~sym_u_9)) | sym_p_3)),
% 0.12/0.39 inference(monotonicity,[status(thm)],[116])).
% 0.12/0.39 tff(118,plain,
% 0.12/0.39 (((((~sym_u_9) | (~sym_q_1)) | sym_q_2) | sym_p_3) <=> (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9))),
% 0.12/0.39 inference(transitivity,[status(thm)],[117, 112])).
% 0.12/0.39 tff(119,axiom,((((~sym_u_9) | (~sym_q_1)) | sym_q_2) | sym_p_3), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_s3_type12_4')).
% 0.12/0.39 tff(120,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.12/0.39 tff(121,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[120, 111])).
% 0.12/0.39 tff(122,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[121, 111])).
% 0.12/0.39 tff(123,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[122, 111])).
% 0.12/0.39 tff(124,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[123, 111])).
% 0.12/0.39 tff(125,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[124, 111])).
% 0.12/0.39 tff(126,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[125, 111])).
% 0.12/0.39 tff(127,plain,
% 0.12/0.39 (sym_q_2 | sym_p_3 | (~sym_q_1) | (~sym_u_9)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[126, 111])).
% 0.12/0.39 tff(128,plain,
% 0.12/0.39 (~sym_u_9),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[127, 109, 35, 110])).
% 0.12/0.39 tff(129,plain,
% 0.12/0.39 (((~sym_q_1) | sym_u_9) <=> ((~sym_q_1) | sym_u_9)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(130,axiom,((~sym_q_1) | sym_u_9), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_9_s3_type12_4')).
% 0.12/0.39 tff(131,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.12/0.39 tff(132,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[131, 129])).
% 0.12/0.39 tff(133,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[132, 129])).
% 0.12/0.39 tff(134,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[133, 129])).
% 0.12/0.39 tff(135,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[134, 129])).
% 0.12/0.39 tff(136,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[135, 129])).
% 0.12/0.39 tff(137,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[136, 129])).
% 0.12/0.39 tff(138,plain,
% 0.12/0.39 ((~sym_q_1) | sym_u_9),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[137, 129])).
% 0.12/0.39 tff(139,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[138, 128, 109])).
% 0.12/0.39 tff(140,plain,((~sym_q_1) | sym_p_3), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(141,plain,
% 0.12/0.39 (sym_p_3),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[140, 108])).
% 0.12/0.39 tff(142,plain,
% 0.12/0.39 (((~sym_u_15) | (~sym_p_3)) <=> ((~sym_p_3) | (~sym_u_15))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(143,axiom,((~sym_u_15) | (~sym_p_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_t3_2')).
% 0.12/0.40 tff(144,plain,
% 0.12/0.40 ((~sym_p_3) | (~sym_u_15)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.12/0.40 tff(145,plain,
% 0.12/0.40 (~sym_u_15),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[144, 141])).
% 0.12/0.40 tff(146,plain,
% 0.12/0.40 (((~sym_p_3) | sym_u_15) <=> ((~sym_p_3) | sym_u_15)),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(147,axiom,((~sym_p_3) | sym_u_15), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sym_u_15_t3_2')).
% 0.12/0.40 tff(148,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.12/0.40 tff(149,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[148, 146])).
% 0.12/0.40 tff(150,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[149, 146])).
% 0.12/0.40 tff(151,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[150, 146])).
% 0.12/0.40 tff(152,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[151, 146])).
% 0.12/0.40 tff(153,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[152, 146])).
% 0.12/0.40 tff(154,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[153, 146])).
% 0.12/0.40 tff(155,plain,
% 0.12/0.40 ((~sym_p_3) | sym_u_15),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[154, 146])).
% 0.12/0.40 tff(156,plain,
% 0.12/0.40 ($false),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[155, 145, 141])).
% 0.12/0.40 % SZS output end Proof
%------------------------------------------------------------------------------