TSTP Solution File: HWV003-3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 : Sat Sep 17 02:10:27 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n020.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 : Wed Aug 31 21:59:15 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(a21_type, type, (
% 0.12/0.39 a21: $o)).
% 0.12/0.39 tff(a14_type, type, (
% 0.12/0.39 a14: $o)).
% 0.12/0.39 tff(a15_type, type, (
% 0.12/0.39 a15: $o)).
% 0.12/0.39 tff(c1_type, type, (
% 0.12/0.39 c1: $o)).
% 0.12/0.39 tff(conjline18_type, type, (
% 0.12/0.39 conjline18: $o)).
% 0.12/0.39 tff(s2_type, type, (
% 0.12/0.39 s2: $o)).
% 0.12/0.39 tff(conjline19_type, type, (
% 0.12/0.39 conjline19: $o)).
% 0.12/0.39 tff(c2_type, type, (
% 0.12/0.39 c2: $o)).
% 0.12/0.39 tff(a22_type, type, (
% 0.12/0.39 a22: $o)).
% 0.12/0.39 tff(a23_type, type, (
% 0.12/0.39 a23: $o)).
% 0.12/0.39 tff(b_type, type, (
% 0.12/0.39 b: $o)).
% 0.12/0.39 tff(a_type, type, (
% 0.12/0.39 a: $o)).
% 0.12/0.39 tff(a11_type, type, (
% 0.12/0.39 a11: $o)).
% 0.12/0.39 tff(cI_type, type, (
% 0.12/0.39 cI: $o)).
% 0.12/0.39 tff(a16_type, type, (
% 0.12/0.39 a16: $o)).
% 0.12/0.39 tff(a12_type, type, (
% 0.12/0.39 a12: $o)).
% 0.12/0.39 tff(a13_type, type, (
% 0.12/0.39 a13: $o)).
% 0.12/0.39 tff(a25_type, type, (
% 0.12/0.39 a25: $o)).
% 0.12/0.39 tff(a26_type, type, (
% 0.12/0.39 a26: $o)).
% 0.12/0.39 tff(a24_type, type, (
% 0.12/0.39 a24: $o)).
% 0.12/0.39 tff(s1_type, type, (
% 0.12/0.39 s1: $o)).
% 0.12/0.39 tff(a17_type, type, (
% 0.12/0.39 a17: $o)).
% 0.12/0.39 tff(1,assumption,(~c1), introduced(assumption)).
% 0.12/0.39 tff(2,assumption,(~a21), introduced(assumption)).
% 0.12/0.39 tff(3,assumption,(b), introduced(assumption)).
% 0.12/0.39 tff(4,plain,
% 0.12/0.39 ((a | (~b) | a21) <=> (a | (~b) | a21)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(5,plain,
% 0.12/0.39 (((a | a21) | (~b)) <=> (a | (~b) | a21)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(6,plain,
% 0.12/0.39 ((a21 | a) <=> (a | a21)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(7,plain,
% 0.12/0.39 (((a21 | a) | (~b)) <=> ((a | a21) | (~b))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[6])).
% 0.12/0.39 tff(8,plain,
% 0.12/0.39 (((a21 | a) | (~b)) <=> (a | (~b) | a21)),
% 0.12/0.39 inference(transitivity,[status(thm)],[7, 5])).
% 0.12/0.39 tff(9,axiom,((a21 | a) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10A')).
% 0.12/0.39 tff(10,plain,
% 0.12/0.39 (a | (~b) | a21),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.12/0.39 tff(11,plain,
% 0.12/0.39 (a | (~b) | a21),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[10, 4])).
% 0.12/0.39 tff(12,plain,
% 0.12/0.39 (a | (~b) | a21),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.12/0.39 tff(13,plain,
% 0.12/0.39 (a | (~b) | a21),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[12, 4])).
% 0.12/0.39 tff(14,plain,
% 0.12/0.39 (a | (~b) | a21),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[13, 4])).
% 0.12/0.39 tff(15,plain,
% 0.12/0.39 (a | (~b) | a21),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[14, 4])).
% 0.12/0.39 tff(16,plain,
% 0.12/0.39 (a),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[15, 3, 2])).
% 0.12/0.39 tff(17,assumption,(~a11), introduced(assumption)).
% 0.12/0.39 tff(18,plain,
% 0.12/0.39 ((a11 | a) <=> (a11 | a)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(19,axiom,(a11 | a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1A')).
% 0.12/0.39 tff(20,plain,
% 0.12/0.39 (a11 | a),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.12/0.39 tff(21,plain,
% 0.12/0.39 (a11 | a),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[20, 18])).
% 0.12/0.39 tff(22,plain,
% 0.12/0.39 (a11 | a),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[21, 18])).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 (a11 | a),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 (a11 | a),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[23, 18])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 (a11 | a),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[24, 18])).
% 0.12/0.39 tff(26,plain,
% 0.12/0.39 (a),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[25, 17])).
% 0.12/0.39 tff(27,axiom,(a11 | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1B')).
% 0.12/0.39 tff(28,plain,
% 0.12/0.39 (b),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[27, 17])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 (((~a) | (~b) | (~a21)) <=> ((~a) | (~b) | (~a21))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 ((((~a) | (~a21)) | (~b)) <=> ((~a) | (~b) | (~a21))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 (((~a21) | (~a)) <=> ((~a) | (~a21))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(32,plain,
% 0.12/0.39 ((((~a21) | (~a)) | (~b)) <=> (((~a) | (~a21)) | (~b))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[31])).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 ((((~a21) | (~a)) | (~b)) <=> ((~a) | (~b) | (~a21))),
% 0.12/0.39 inference(transitivity,[status(thm)],[32, 30])).
% 0.12/0.39 tff(34,axiom,(((~a21) | (~a)) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10D')).
% 0.12/0.39 tff(35,plain,
% 0.12/0.39 ((~a) | (~b) | (~a21)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.12/0.39 tff(36,plain,
% 0.12/0.39 ((~a) | (~b) | (~a21)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[35, 29])).
% 0.12/0.39 tff(37,plain,
% 0.19/0.39 ((~a) | (~b) | (~a21)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[36, 29])).
% 0.19/0.39 tff(38,plain,
% 0.19/0.39 ((~a) | (~b) | (~a21)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[37, 29])).
% 0.19/0.39 tff(39,plain,
% 0.19/0.39 ((~a) | (~b) | (~a21)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[38, 29])).
% 0.19/0.39 tff(40,plain,
% 0.19/0.39 ((~a) | (~b) | (~a21)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[39, 29])).
% 0.19/0.39 tff(41,plain,
% 0.19/0.39 (~a21),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[40, 28, 26])).
% 0.19/0.39 tff(42,plain,
% 0.19/0.39 ((a12 | a11) <=> (a11 | a12)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(43,axiom,(a12 | a11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2B')).
% 0.19/0.39 tff(44,plain,
% 0.19/0.39 (a11 | a12),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.19/0.39 tff(45,plain,
% 0.19/0.39 (a12),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[44, 17])).
% 0.19/0.39 tff(46,plain,
% 0.19/0.39 ((a13 | a11) <=> (a11 | a13)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(47,axiom,(a13 | a11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_3B')).
% 0.19/0.39 tff(48,plain,
% 0.19/0.39 (a11 | a13),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.19/0.39 tff(49,plain,
% 0.19/0.39 (a13),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[48, 17])).
% 0.19/0.39 tff(50,plain,
% 0.19/0.39 ((((~a12) | (~a14)) | (~a13)) <=> ((~a12) | (~a13) | (~a14))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(51,plain,
% 0.19/0.39 (((~a14) | (~a12)) <=> ((~a12) | (~a14))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(52,plain,
% 0.19/0.39 ((((~a14) | (~a12)) | (~a13)) <=> (((~a12) | (~a14)) | (~a13))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[51])).
% 0.19/0.39 tff(53,plain,
% 0.19/0.39 ((((~a14) | (~a12)) | (~a13)) <=> ((~a12) | (~a13) | (~a14))),
% 0.19/0.39 inference(transitivity,[status(thm)],[52, 50])).
% 0.19/0.39 tff(54,axiom,(((~a14) | (~a12)) | (~a13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_4C')).
% 0.19/0.39 tff(55,plain,
% 0.19/0.39 ((~a12) | (~a13) | (~a14)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.19/0.39 tff(56,plain,
% 0.19/0.39 (~a14),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[55, 49, 45])).
% 0.19/0.39 tff(57,plain,
% 0.19/0.39 ((a16 | a14) <=> (a14 | a16)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(58,axiom,(a16 | a14), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_6A')).
% 0.19/0.39 tff(59,plain,
% 0.19/0.39 (a14 | a16),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.19/0.39 tff(60,plain,
% 0.19/0.39 (a16),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[59, 56])).
% 0.19/0.39 tff(61,plain,
% 0.19/0.39 (((~a) | (~b) | a25) <=> ((~a) | (~b) | a25)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(62,plain,
% 0.19/0.39 (((a25 | (~a)) | (~b)) <=> ((~a) | (~b) | a25)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(63,axiom,((a25 | (~a)) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_14C')).
% 0.19/0.39 tff(64,plain,
% 0.19/0.39 ((~a) | (~b) | a25),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.19/0.39 tff(65,plain,
% 0.19/0.39 ((~a) | (~b) | a25),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[64, 61])).
% 0.19/0.39 tff(66,plain,
% 0.19/0.39 ((~a) | (~b) | a25),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.19/0.39 tff(67,plain,
% 0.19/0.39 ((~a) | (~b) | a25),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[66, 61])).
% 0.19/0.39 tff(68,plain,
% 0.19/0.39 ((~a) | (~b) | a25),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[67, 61])).
% 0.19/0.39 tff(69,plain,
% 0.19/0.39 ((~a) | (~b) | a25),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.19/0.39 tff(70,plain,
% 0.19/0.39 (a25),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[69, 28, 26])).
% 0.19/0.39 tff(71,plain,
% 0.19/0.39 ((c1 | a11) <=> (a11 | c1)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(72,axiom,(c1 | a11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_9B')).
% 0.19/0.39 tff(73,plain,
% 0.19/0.39 (a11 | c1),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.39 tff(74,plain,
% 0.19/0.39 (c1),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[73, 17])).
% 0.19/0.39 tff(75,assumption,(c1), introduced(assumption)).
% 0.19/0.39 tff(76,assumption,(a25), introduced(assumption)).
% 0.19/0.39 tff(77,assumption,(~cI), introduced(assumption)).
% 0.19/0.39 tff(78,axiom,(a24 | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_13A')).
% 0.19/0.39 tff(79,plain,
% 0.19/0.39 (a24),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.19/0.39 tff(80,plain,
% 0.19/0.39 (((~a24) | (~a25) | a26) <=> ((~a24) | (~a25) | a26)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(81,plain,
% 0.19/0.39 (((a26 | (~a24)) | (~a25)) <=> ((~a24) | (~a25) | a26)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(82,axiom,((a26 | (~a24)) | (~a25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_15C')).
% 0.19/0.39 tff(83,plain,
% 0.19/0.39 ((~a24) | (~a25) | a26),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.19/0.39 tff(84,plain,
% 0.19/0.39 ((~a24) | (~a25) | a26),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[83, 80])).
% 0.19/0.39 tff(85,plain,
% 0.19/0.39 ((~a24) | (~a25) | a26),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[84, 80])).
% 0.19/0.39 tff(86,plain,
% 0.19/0.39 ((~a24) | (~a25) | a26),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[85, 80])).
% 0.19/0.39 tff(87,plain,
% 0.19/0.39 ((~a24) | (~a25) | a26),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[86, 80])).
% 0.19/0.39 tff(88,plain,
% 0.19/0.39 ((~a24) | (~a25) | a26),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.19/0.39 tff(89,plain,
% 0.19/0.39 (a26),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[88, 79, 76])).
% 0.19/0.39 tff(90,axiom,(c2 | (~a26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_17B')).
% 0.19/0.39 tff(91,plain,
% 0.19/0.39 (c2),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[90, 89])).
% 0.19/0.39 tff(92,plain,
% 0.19/0.39 ((cI | a21 | (~s2)) <=> (cI | a21 | (~s2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(93,plain,
% 0.19/0.39 (((cI | (~s2)) | a21) <=> (cI | a21 | (~s2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(94,plain,
% 0.19/0.39 (((~s2) | cI) <=> (cI | (~s2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(95,plain,
% 0.19/0.39 ((((~s2) | cI) | a21) <=> ((cI | (~s2)) | a21)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[94])).
% 0.19/0.39 tff(96,plain,
% 0.19/0.39 ((((~s2) | cI) | a21) <=> (cI | a21 | (~s2))),
% 0.19/0.39 inference(transitivity,[status(thm)],[95, 93])).
% 0.19/0.39 tff(97,axiom,(((~s2) | cI) | a21), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16C')).
% 0.19/0.39 tff(98,plain,
% 0.19/0.39 (cI | a21 | (~s2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.19/0.39 tff(99,plain,
% 0.19/0.39 (cI | a21 | (~s2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[98, 92])).
% 0.19/0.39 tff(100,plain,
% 0.19/0.39 (cI | a21 | (~s2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.19/0.39 tff(101,plain,
% 0.19/0.39 (cI | a21 | (~s2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[100, 92])).
% 0.19/0.39 tff(102,plain,
% 0.19/0.39 (cI | a21 | (~s2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[101, 92])).
% 0.19/0.39 tff(103,plain,
% 0.19/0.39 (cI | a21 | (~s2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[102, 92])).
% 0.19/0.39 tff(104,plain,
% 0.19/0.39 (~s2),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[103, 77, 2])).
% 0.19/0.39 tff(105,assumption,(a16), introduced(assumption)).
% 0.19/0.39 tff(106,axiom,(a17 | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_7B')).
% 0.19/0.39 tff(107,plain,
% 0.19/0.39 (a17),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[106, 77])).
% 0.19/0.39 tff(108,plain,
% 0.19/0.39 ((((~a16) | (~s1)) | (~a17)) <=> ((~a16) | (~a17) | (~s1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(109,plain,
% 0.19/0.39 (((~s1) | (~a16)) <=> ((~a16) | (~s1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(110,plain,
% 0.19/0.39 ((((~s1) | (~a16)) | (~a17)) <=> (((~a16) | (~s1)) | (~a17))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[109])).
% 0.19/0.39 tff(111,plain,
% 0.19/0.39 ((((~s1) | (~a16)) | (~a17)) <=> ((~a16) | (~a17) | (~s1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[110, 108])).
% 0.19/0.39 tff(112,axiom,(((~s1) | (~a16)) | (~a17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_8C')).
% 0.19/0.39 tff(113,plain,
% 0.19/0.39 ((~a16) | (~a17) | (~s1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.19/0.39 tff(114,plain,
% 0.19/0.39 (~s1),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[113, 107, 105])).
% 0.19/0.39 tff(115,plain,
% 0.19/0.39 (((s1 | (~conjline18)) | s2) <=> (s1 | s2 | (~conjline18))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(116,plain,
% 0.19/0.39 (((~conjline18) | s1) <=> (s1 | (~conjline18))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(117,plain,
% 0.19/0.39 ((((~conjline18) | s1) | s2) <=> ((s1 | (~conjline18)) | s2)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[116])).
% 0.19/0.39 tff(118,plain,
% 0.19/0.39 ((((~conjline18) | s1) | s2) <=> (s1 | s2 | (~conjline18))),
% 0.19/0.39 inference(transitivity,[status(thm)],[117, 115])).
% 0.19/0.39 tff(119,axiom,(((~conjline18) | s1) | s2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_18C')).
% 0.19/0.39 tff(120,plain,
% 0.19/0.39 (s1 | s2 | (~conjline18)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.19/0.39 tff(121,plain,
% 0.19/0.40 (~conjline18),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[120, 114, 104])).
% 0.19/0.40 tff(122,axiom,(conjline18 | conjline19), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_20')).
% 0.19/0.40 tff(123,plain,
% 0.19/0.40 (conjline19),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.19/0.40 tff(124,plain,
% 0.19/0.40 ((((~c1) | (~conjline19)) | (~c2)) <=> ((~c1) | (~c2) | (~conjline19))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(125,plain,
% 0.19/0.40 (((~conjline19) | (~c1)) <=> ((~c1) | (~conjline19))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(126,plain,
% 0.19/0.40 ((((~conjline19) | (~c1)) | (~c2)) <=> (((~c1) | (~conjline19)) | (~c2))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[125])).
% 0.19/0.40 tff(127,plain,
% 0.19/0.40 ((((~conjline19) | (~c1)) | (~c2)) <=> ((~c1) | (~c2) | (~conjline19))),
% 0.19/0.40 inference(transitivity,[status(thm)],[126, 124])).
% 0.19/0.40 tff(128,axiom,(((~conjline19) | (~c1)) | (~c2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_19D')).
% 0.19/0.40 tff(129,plain,
% 0.19/0.40 ((~c1) | (~c2) | (~conjline19)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.19/0.40 tff(130,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[129, 123, 91, 75])).
% 0.19/0.40 tff(131,plain,(cI | (~c1) | (~a25) | (~a16) | a21), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(132,plain,
% 0.19/0.40 (cI),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[131, 74, 70, 60, 41])).
% 0.19/0.40 tff(133,plain,
% 0.19/0.40 (((~cI) | a21 | s2) <=> ((~cI) | a21 | s2)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(134,plain,
% 0.19/0.40 (((s2 | (~cI)) | a21) <=> ((~cI) | a21 | s2)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(135,axiom,((s2 | (~cI)) | a21), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16B')).
% 0.19/0.40 tff(136,plain,
% 0.19/0.40 ((~cI) | a21 | s2),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.19/0.40 tff(137,plain,
% 0.19/0.40 ((~cI) | a21 | s2),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[136, 133])).
% 0.19/0.40 tff(138,plain,
% 0.19/0.40 ((~cI) | a21 | s2),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.19/0.40 tff(139,plain,
% 0.19/0.40 ((~cI) | a21 | s2),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[138, 133])).
% 0.19/0.40 tff(140,plain,
% 0.19/0.40 ((~cI) | a21 | s2),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[139, 133])).
% 0.19/0.40 tff(141,plain,
% 0.19/0.40 ((~cI) | a21 | s2),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[140, 133])).
% 0.19/0.40 tff(142,plain,
% 0.19/0.40 (s2),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[141, 132, 41])).
% 0.19/0.40 tff(143,plain,
% 0.19/0.40 ((a15 | a14) <=> (a14 | a15)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(144,axiom,(a15 | a14), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_5A')).
% 0.19/0.40 tff(145,plain,
% 0.19/0.40 (a14 | a15),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.19/0.40 tff(146,plain,
% 0.19/0.40 (a15),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[145, 56])).
% 0.19/0.40 tff(147,plain,
% 0.19/0.40 (((~a15) | (~cI) | (~a17)) <=> ((~a15) | (~cI) | (~a17))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(148,plain,
% 0.19/0.40 ((((~a15) | (~a17)) | (~cI)) <=> ((~a15) | (~cI) | (~a17))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(149,plain,
% 0.19/0.40 (((~a17) | (~a15)) <=> ((~a15) | (~a17))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(150,plain,
% 0.19/0.40 ((((~a17) | (~a15)) | (~cI)) <=> (((~a15) | (~a17)) | (~cI))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[149])).
% 0.19/0.40 tff(151,plain,
% 0.19/0.40 ((((~a17) | (~a15)) | (~cI)) <=> ((~a15) | (~cI) | (~a17))),
% 0.19/0.40 inference(transitivity,[status(thm)],[150, 148])).
% 0.19/0.40 tff(152,axiom,(((~a17) | (~a15)) | (~cI)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_7C')).
% 0.19/0.40 tff(153,plain,
% 0.19/0.40 ((~a15) | (~cI) | (~a17)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.19/0.40 tff(154,plain,
% 0.19/0.40 ((~a15) | (~cI) | (~a17)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[153, 147])).
% 0.19/0.40 tff(155,plain,
% 0.19/0.40 ((~a15) | (~cI) | (~a17)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[154, 147])).
% 0.19/0.40 tff(156,plain,
% 0.19/0.40 ((~a15) | (~cI) | (~a17)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[155, 147])).
% 0.19/0.40 tff(157,plain,
% 0.19/0.40 ((~a15) | (~cI) | (~a17)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[156, 147])).
% 0.19/0.40 tff(158,plain,
% 0.19/0.40 ((~a15) | (~cI) | (~a17)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[157, 147])).
% 0.19/0.40 tff(159,plain,
% 0.19/0.40 (~a17),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[158, 132, 146])).
% 0.19/0.40 tff(160,plain,
% 0.19/0.40 ((s1 | a17) <=> (a17 | s1)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(161,axiom,(s1 | a17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_8B')).
% 0.19/0.40 tff(162,plain,
% 0.19/0.40 (a17 | s1),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.19/0.40 tff(163,plain,
% 0.19/0.40 (s1),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[162, 159])).
% 0.19/0.40 tff(164,plain,
% 0.19/0.40 (((~s1) | (~s2) | (~conjline18)) <=> ((~s1) | (~s2) | (~conjline18))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(165,plain,
% 0.19/0.40 ((((~conjline18) | (~s1)) | (~s2)) <=> ((~s1) | (~s2) | (~conjline18))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(166,axiom,(((~conjline18) | (~s1)) | (~s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_18D')).
% 0.19/0.40 tff(167,plain,
% 0.19/0.40 ((~s1) | (~s2) | (~conjline18)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.19/0.40 tff(168,plain,
% 0.19/0.40 ((~s1) | (~s2) | (~conjline18)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[167, 164])).
% 0.19/0.40 tff(169,plain,
% 0.19/0.40 ((~s1) | (~s2) | (~conjline18)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[168, 164])).
% 0.19/0.40 tff(170,plain,
% 0.19/0.40 ((~s1) | (~s2) | (~conjline18)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[169, 164])).
% 0.19/0.40 tff(171,plain,
% 0.19/0.40 ((~s1) | (~s2) | (~conjline18)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[170, 164])).
% 0.19/0.40 tff(172,plain,
% 0.19/0.40 ((~s1) | (~s2) | (~conjline18)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[171, 164])).
% 0.19/0.40 tff(173,plain,
% 0.19/0.40 (~conjline18),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[172, 163, 142])).
% 0.19/0.40 tff(174,axiom,(a23 | (~a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_12A')).
% 0.19/0.40 tff(175,plain,
% 0.19/0.40 (a23),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[174, 26])).
% 0.19/0.40 tff(176,plain,
% 0.19/0.40 (((~cI) | a22 | (~a23)) <=> ((~cI) | a22 | (~a23))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(177,plain,
% 0.19/0.40 (((a22 | (~cI)) | (~a23)) <=> ((~cI) | a22 | (~a23))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(178,axiom,((a22 | (~cI)) | (~a23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_11C')).
% 0.19/0.40 tff(179,plain,
% 0.19/0.40 ((~cI) | a22 | (~a23)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.19/0.40 tff(180,plain,
% 0.19/0.40 ((~cI) | a22 | (~a23)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[179, 176])).
% 0.19/0.40 tff(181,plain,
% 0.19/0.40 ((~cI) | a22 | (~a23)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[180, 176])).
% 0.19/0.40 tff(182,plain,
% 0.19/0.40 ((~cI) | a22 | (~a23)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[181, 176])).
% 0.19/0.40 tff(183,plain,
% 0.19/0.40 ((~cI) | a22 | (~a23)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[182, 176])).
% 0.19/0.40 tff(184,plain,
% 0.19/0.40 ((~cI) | a22 | (~a23)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[183, 176])).
% 0.19/0.40 tff(185,plain,
% 0.19/0.40 (a22),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[184, 132, 175])).
% 0.19/0.40 tff(186,axiom,(c2 | (~a22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_17A')).
% 0.19/0.40 tff(187,plain,
% 0.19/0.40 (c2),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[186, 185])).
% 0.19/0.40 tff(188,plain,
% 0.19/0.40 (~conjline19),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[129, 187, 74])).
% 0.19/0.40 tff(189,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[122, 188, 173])).
% 0.19/0.40 tff(190,plain,(a11), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(191,plain,
% 0.19/0.40 (((~a11) | (~a) | (~b)) <=> ((~a11) | (~a) | (~b))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(192,plain,
% 0.19/0.40 ((((~a11) | (~a)) | (~b)) <=> ((~a11) | (~a) | (~b))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(193,plain,
% 0.19/0.40 (((~a11) | (~a)) <=> ((~a11) | (~a))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(194,plain,
% 0.19/0.40 ((((~a11) | (~a)) | (~b)) <=> (((~a11) | (~a)) | (~b))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[193])).
% 0.19/0.40 tff(195,plain,
% 0.19/0.40 ((((~a11) | (~a)) | (~b)) <=> ((~a11) | (~a) | (~b))),
% 0.19/0.40 inference(transitivity,[status(thm)],[194, 192])).
% 0.19/0.40 tff(196,axiom,(((~a11) | (~a)) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1C')).
% 0.19/0.40 tff(197,plain,
% 0.19/0.40 ((~a11) | (~a) | (~b)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.19/0.40 tff(198,plain,
% 0.19/0.40 ((~a11) | (~a) | (~b)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[197, 191])).
% 0.19/0.40 tff(199,plain,
% 0.19/0.40 ((~a11) | (~a) | (~b)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[198, 191])).
% 0.19/0.40 tff(200,plain,
% 0.19/0.40 ((~a11) | (~a) | (~b)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[199, 191])).
% 0.19/0.40 tff(201,plain,
% 0.19/0.40 ((~a11) | (~a) | (~b)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[200, 191])).
% 0.19/0.40 tff(202,plain,
% 0.19/0.40 ((~a11) | (~a) | (~b)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[201, 191])).
% 0.19/0.40 tff(203,plain,
% 0.19/0.40 ((~a) | (~b)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[202, 190])).
% 0.19/0.40 tff(204,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[203, 16, 3])).
% 0.19/0.40 tff(205,plain,((~b) | a21), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(206,plain,
% 0.19/0.40 (~b),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[205, 2])).
% 0.19/0.40 tff(207,plain,
% 0.19/0.40 ((b | (~a) | a21) <=> (b | (~a) | a21)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(208,plain,
% 0.19/0.40 (((a21 | (~a)) | b) <=> (b | (~a) | a21)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(209,axiom,((a21 | (~a)) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10B')).
% 0.19/0.40 tff(210,plain,
% 0.19/0.40 (b | (~a) | a21),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.19/0.40 tff(211,plain,
% 0.19/0.40 (b | (~a) | a21),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[210, 207])).
% 0.19/0.40 tff(212,plain,
% 0.19/0.40 (b | (~a) | a21),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[211, 207])).
% 0.19/0.40 tff(213,plain,
% 0.19/0.40 (b | (~a) | a21),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[212, 207])).
% 0.19/0.40 tff(214,plain,
% 0.19/0.40 (b | (~a) | a21),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[213, 207])).
% 0.19/0.40 tff(215,plain,
% 0.19/0.40 (b | (~a) | a21),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[214, 207])).
% 0.19/0.40 tff(216,plain,
% 0.19/0.40 (~a),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[215, 206, 2])).
% 0.19/0.40 tff(217,plain,
% 0.19/0.40 (((a | (~a23)) | b) <=> (a | b | (~a23))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(218,plain,
% 0.19/0.40 (((~a23) | a) <=> (a | (~a23))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(219,plain,
% 0.19/0.40 ((((~a23) | a) | b) <=> ((a | (~a23)) | b)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[218])).
% 0.19/0.40 tff(220,plain,
% 0.19/0.40 ((((~a23) | a) | b) <=> (a | b | (~a23))),
% 0.19/0.40 inference(transitivity,[status(thm)],[219, 217])).
% 0.19/0.40 tff(221,axiom,(((~a23) | a) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_12C')).
% 0.19/0.40 tff(222,plain,
% 0.19/0.40 (a | b | (~a23)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.19/0.40 tff(223,plain,
% 0.19/0.40 (~a23),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[222, 216, 206])).
% 0.19/0.40 tff(224,plain,
% 0.19/0.40 (((~a22) | a23) <=> ((~a22) | a23)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(225,axiom,((~a22) | a23), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_11B')).
% 0.19/0.40 tff(226,plain,
% 0.19/0.40 ((~a22) | a23),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.19/0.40 tff(227,plain,
% 0.19/0.40 ((~a22) | a23),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[226, 224])).
% 0.19/0.40 tff(228,plain,
% 0.19/0.40 ((~a22) | a23),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[227, 224])).
% 0.19/0.40 tff(229,plain,
% 0.19/0.40 ((~a22) | a23),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[228, 224])).
% 0.19/0.40 tff(230,plain,
% 0.19/0.40 ((~a22) | a23),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[229, 224])).
% 0.19/0.40 tff(231,plain,
% 0.19/0.40 ((~a22) | a23),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[230, 224])).
% 0.19/0.40 tff(232,plain,
% 0.19/0.40 (~a22),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[231, 223])).
% 0.19/0.40 tff(233,plain,
% 0.19/0.40 (((~a25) | b) <=> (b | (~a25))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(234,axiom,((~a25) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_14B')).
% 0.19/0.40 tff(235,plain,
% 0.19/0.40 (b | (~a25)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[234, 233])).
% 0.19/0.40 tff(236,plain,
% 0.19/0.40 (~a25),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[235, 206])).
% 0.19/0.40 tff(237,plain,
% 0.19/0.40 (((~a26) | a25) <=> (a25 | (~a26))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(238,axiom,((~a26) | a25), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_15B')).
% 0.19/0.40 tff(239,plain,
% 0.19/0.40 (a25 | (~a26)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.19/0.40 tff(240,plain,
% 0.19/0.40 (~a26),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[239, 236])).
% 0.19/0.40 tff(241,plain,
% 0.19/0.40 (((a22 | (~c2)) | a26) <=> (a22 | a26 | (~c2))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(242,plain,
% 0.19/0.40 (((~c2) | a22) <=> (a22 | (~c2))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(243,plain,
% 0.19/0.40 ((((~c2) | a22) | a26) <=> ((a22 | (~c2)) | a26)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[242])).
% 0.19/0.40 tff(244,plain,
% 0.19/0.40 ((((~c2) | a22) | a26) <=> (a22 | a26 | (~c2))),
% 0.19/0.40 inference(transitivity,[status(thm)],[243, 241])).
% 0.19/0.40 tff(245,axiom,(((~c2) | a22) | a26), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_17C')).
% 0.19/0.40 tff(246,plain,
% 0.19/0.40 (a22 | a26 | (~c2)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.19/0.40 tff(247,plain,
% 0.19/0.40 (~c2),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[246, 240, 232])).
% 0.19/0.40 tff(248,plain,
% 0.19/0.40 (((c1 | (~conjline19)) | c2) <=> (c1 | c2 | (~conjline19))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(249,plain,
% 0.19/0.40 (((~conjline19) | c1) <=> (c1 | (~conjline19))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(250,plain,
% 0.19/0.40 ((((~conjline19) | c1) | c2) <=> ((c1 | (~conjline19)) | c2)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[249])).
% 0.19/0.40 tff(251,plain,
% 0.19/0.40 ((((~conjline19) | c1) | c2) <=> (c1 | c2 | (~conjline19))),
% 0.19/0.40 inference(transitivity,[status(thm)],[250, 248])).
% 0.19/0.40 tff(252,axiom,(((~conjline19) | c1) | c2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_19C')).
% 0.19/0.40 tff(253,plain,
% 0.19/0.40 (c1 | c2 | (~conjline19)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[252, 251])).
% 0.19/0.40 tff(254,plain,
% 0.19/0.40 (~conjline19),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[253, 247, 1])).
% 0.19/0.40 tff(255,plain,
% 0.19/0.40 (conjline18),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[122, 254])).
% 0.19/0.40 tff(256,assumption,(conjline18), introduced(assumption)).
% 0.19/0.40 tff(257,assumption,(~b), introduced(assumption)).
% 0.19/0.40 tff(258,plain,
% 0.19/0.40 (~a),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[215, 257, 2])).
% 0.19/0.40 tff(259,assumption,(a14), introduced(assumption)).
% 0.19/0.40 tff(260,axiom,(a13 | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_3A')).
% 0.19/0.40 tff(261,plain,
% 0.19/0.40 (a13),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[260, 257])).
% 0.19/0.40 tff(262,plain,
% 0.19/0.40 (~a12),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[55, 261, 259])).
% 0.19/0.40 tff(263,plain,
% 0.19/0.40 ((a12 | a) <=> (a | a12)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(264,axiom,(a12 | a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2A')).
% 0.19/0.40 tff(265,plain,
% 0.19/0.40 (a | a12),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.19/0.40 tff(266,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[265, 262, 258])).
% 0.19/0.40 tff(267,plain,(b | (~a14) | a21), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(268,plain,
% 0.19/0.40 (~a14),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[267, 206, 2])).
% 0.19/0.40 tff(269,plain,
% 0.19/0.40 (a16),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[59, 268])).
% 0.19/0.40 tff(270,plain,
% 0.19/0.40 (~s1),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[113, 107, 269])).
% 0.19/0.40 tff(271,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[120, 270, 104, 256])).
% 0.19/0.40 tff(272,plain,(cI | (~conjline18) | a21), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(273,plain,
% 0.19/0.40 (cI),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[272, 255, 2])).
% 0.19/0.40 tff(274,plain,
% 0.19/0.40 (s2),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[141, 273, 2])).
% 0.19/0.40 tff(275,plain,
% 0.19/0.40 ((c1 | a15) <=> (a15 | c1)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(276,axiom,(c1 | a15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_9A')).
% 0.19/0.40 tff(277,plain,
% 0.19/0.40 (a15 | c1),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.19/0.40 tff(278,plain,
% 0.19/0.40 (a15),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[277, 1])).
% 0.19/0.40 tff(279,plain,
% 0.19/0.40 (~a17),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[158, 273, 278])).
% 0.19/0.40 tff(280,plain,
% 0.19/0.40 (s1),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[162, 279])).
% 0.19/0.40 tff(281,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[172, 280, 274, 255])).
% 0.19/0.40 tff(282,plain,(a21 | c1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(283,plain,
% 0.19/0.40 (a21),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[282, 1])).
% 0.19/0.40 tff(284,plain,
% 0.19/0.40 (((a | (~a21)) | b) <=> (a | b | (~a21))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(285,plain,
% 0.19/0.40 (((~a21) | a) <=> (a | (~a21))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(286,plain,
% 0.19/0.40 ((((~a21) | a) | b) <=> ((a | (~a21)) | b)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[285])).
% 0.19/0.40 tff(287,plain,
% 0.19/0.41 ((((~a21) | a) | b) <=> (a | b | (~a21))),
% 0.19/0.41 inference(transitivity,[status(thm)],[286, 284])).
% 0.19/0.41 tff(288,axiom,(((~a21) | a) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10C')).
% 0.19/0.41 tff(289,plain,
% 0.19/0.41 (a | b | (~a21)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.19/0.41 tff(290,plain,
% 0.19/0.41 (a),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[289, 257, 283])).
% 0.19/0.41 tff(291,plain,
% 0.19/0.41 (((~a11) | (~a) | (~a12)) <=> ((~a11) | (~a) | (~a12))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(292,plain,
% 0.19/0.41 ((((~a) | (~a12)) | (~a11)) <=> ((~a11) | (~a) | (~a12))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(293,plain,
% 0.19/0.41 (((~a12) | (~a)) <=> ((~a) | (~a12))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(294,plain,
% 0.19/0.41 ((((~a12) | (~a)) | (~a11)) <=> (((~a) | (~a12)) | (~a11))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[293])).
% 0.19/0.41 tff(295,plain,
% 0.19/0.41 ((((~a12) | (~a)) | (~a11)) <=> ((~a11) | (~a) | (~a12))),
% 0.19/0.41 inference(transitivity,[status(thm)],[294, 292])).
% 0.19/0.41 tff(296,axiom,(((~a12) | (~a)) | (~a11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2C')).
% 0.19/0.41 tff(297,plain,
% 0.19/0.41 ((~a11) | (~a) | (~a12)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.19/0.41 tff(298,plain,
% 0.19/0.41 ((~a11) | (~a) | (~a12)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[297, 291])).
% 0.19/0.41 tff(299,plain,
% 0.19/0.41 ((~a11) | (~a) | (~a12)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[298, 291])).
% 0.19/0.41 tff(300,plain,
% 0.19/0.41 ((~a11) | (~a) | (~a12)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[299, 291])).
% 0.19/0.41 tff(301,plain,
% 0.19/0.41 ((~a11) | (~a) | (~a12)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[300, 291])).
% 0.19/0.41 tff(302,plain,
% 0.19/0.41 ((~a11) | (~a) | (~a12)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[301, 291])).
% 0.19/0.41 tff(303,plain,
% 0.19/0.41 ((~a) | (~a12)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[302, 190])).
% 0.19/0.41 tff(304,plain,
% 0.19/0.41 (~a12),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[303, 290])).
% 0.19/0.41 tff(305,plain,
% 0.19/0.41 ((a14 | a12) <=> (a12 | a14)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(306,axiom,(a14 | a12), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_4A')).
% 0.19/0.41 tff(307,plain,
% 0.19/0.41 (a12 | a14),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.19/0.41 tff(308,plain,
% 0.19/0.41 (a14),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[307, 304])).
% 0.19/0.41 tff(309,plain,
% 0.19/0.41 ((((~a14) | (~a15)) | (~cI)) <=> ((~a14) | (~a15) | (~cI))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(310,plain,
% 0.19/0.41 (((~a15) | (~a14)) <=> ((~a14) | (~a15))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(311,plain,
% 0.19/0.41 ((((~a15) | (~a14)) | (~cI)) <=> (((~a14) | (~a15)) | (~cI))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[310])).
% 0.19/0.41 tff(312,plain,
% 0.19/0.41 ((((~a15) | (~a14)) | (~cI)) <=> ((~a14) | (~a15) | (~cI))),
% 0.19/0.41 inference(transitivity,[status(thm)],[311, 309])).
% 0.19/0.41 tff(313,axiom,(((~a15) | (~a14)) | (~cI)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_5C')).
% 0.19/0.41 tff(314,plain,
% 0.19/0.41 ((~a14) | (~a15) | (~cI)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.19/0.41 tff(315,plain,
% 0.19/0.41 (~cI),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[314, 308, 278])).
% 0.19/0.41 tff(316,plain,
% 0.19/0.41 ((cI | (~a21) | s2) <=> (cI | (~a21) | s2)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(317,plain,
% 0.19/0.41 (((cI | s2) | (~a21)) <=> (cI | (~a21) | s2)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(318,plain,
% 0.19/0.41 ((s2 | cI) <=> (cI | s2)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(319,plain,
% 0.19/0.41 (((s2 | cI) | (~a21)) <=> ((cI | s2) | (~a21))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[318])).
% 0.19/0.41 tff(320,plain,
% 0.19/0.41 (((s2 | cI) | (~a21)) <=> (cI | (~a21) | s2)),
% 0.19/0.41 inference(transitivity,[status(thm)],[319, 317])).
% 0.19/0.41 tff(321,axiom,((s2 | cI) | (~a21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16A')).
% 0.19/0.41 tff(322,plain,
% 0.19/0.41 (cI | (~a21) | s2),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[321, 320])).
% 0.19/0.41 tff(323,plain,
% 0.19/0.41 (cI | (~a21) | s2),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[322, 316])).
% 0.19/0.41 tff(324,plain,
% 0.19/0.41 (cI | (~a21) | s2),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[323, 316])).
% 0.19/0.41 tff(325,plain,
% 0.19/0.41 (cI | (~a21) | s2),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[324, 316])).
% 0.19/0.41 tff(326,plain,
% 0.19/0.41 (cI | (~a21) | s2),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[325, 316])).
% 0.19/0.41 tff(327,plain,
% 0.19/0.41 (cI | (~a21) | s2),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[326, 316])).
% 0.19/0.41 tff(328,plain,
% 0.19/0.41 (s2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[327, 315, 283])).
% 0.19/0.41 tff(329,plain,
% 0.19/0.41 ((((~a14) | (~a16)) | (~a15)) <=> ((~a14) | (~a15) | (~a16))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(330,plain,
% 0.19/0.41 (((~a16) | (~a14)) <=> ((~a14) | (~a16))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(331,plain,
% 0.19/0.41 ((((~a16) | (~a14)) | (~a15)) <=> (((~a14) | (~a16)) | (~a15))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[330])).
% 0.19/0.41 tff(332,plain,
% 0.19/0.41 ((((~a16) | (~a14)) | (~a15)) <=> ((~a14) | (~a15) | (~a16))),
% 0.19/0.41 inference(transitivity,[status(thm)],[331, 329])).
% 0.19/0.41 tff(333,axiom,(((~a16) | (~a14)) | (~a15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_6C')).
% 0.19/0.41 tff(334,plain,
% 0.19/0.41 ((~a14) | (~a15) | (~a16)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[333, 332])).
% 0.19/0.41 tff(335,plain,
% 0.19/0.41 (~a16),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[334, 308, 278])).
% 0.19/0.41 tff(336,plain,
% 0.19/0.41 ((s1 | a16) <=> (a16 | s1)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(337,axiom,(s1 | a16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_8A')).
% 0.19/0.41 tff(338,plain,
% 0.19/0.41 (a16 | s1),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.19/0.41 tff(339,plain,
% 0.19/0.41 (s1),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[338, 335])).
% 0.19/0.41 tff(340,plain,
% 0.19/0.41 (~conjline18),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[172, 339, 328])).
% 0.19/0.41 tff(341,plain,
% 0.19/0.41 (~a25),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[235, 257])).
% 0.19/0.41 tff(342,plain,
% 0.19/0.41 (~a26),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[239, 341])).
% 0.19/0.41 tff(343,plain,
% 0.19/0.41 (((~a22) | cI) <=> (cI | (~a22))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(344,axiom,((~a22) | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_11A')).
% 0.19/0.41 tff(345,plain,
% 0.19/0.41 (cI | (~a22)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[344, 343])).
% 0.19/0.41 tff(346,plain,
% 0.19/0.41 (~a22),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[345, 315])).
% 0.19/0.41 tff(347,plain,
% 0.19/0.41 (~c2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[246, 346, 342])).
% 0.19/0.41 tff(348,plain,
% 0.19/0.41 (~conjline19),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[253, 347, 1])).
% 0.19/0.41 tff(349,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[122, 348, 340])).
% 0.19/0.41 tff(350,plain,(b | c1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(351,plain,
% 0.19/0.41 (b),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[350, 1])).
% 0.19/0.41 tff(352,plain,
% 0.19/0.41 (((~a11) | (~b) | (~a13)) <=> ((~a11) | (~b) | (~a13))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(353,plain,
% 0.19/0.41 ((((~a13) | (~b)) | (~a11)) <=> ((~a11) | (~b) | (~a13))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(354,axiom,(((~a13) | (~b)) | (~a11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_3C')).
% 0.19/0.41 tff(355,plain,
% 0.19/0.41 ((~a11) | (~b) | (~a13)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.19/0.41 tff(356,plain,
% 0.19/0.41 ((~a11) | (~b) | (~a13)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[355, 352])).
% 0.19/0.41 tff(357,plain,
% 0.19/0.41 ((~a11) | (~b) | (~a13)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[356, 352])).
% 0.19/0.41 tff(358,plain,
% 0.19/0.41 ((~a11) | (~b) | (~a13)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[357, 352])).
% 0.19/0.41 tff(359,plain,
% 0.19/0.41 ((~a11) | (~b) | (~a13)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[358, 352])).
% 0.19/0.41 tff(360,plain,
% 0.19/0.41 ((~a11) | (~b) | (~a13)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[359, 352])).
% 0.19/0.41 tff(361,plain,
% 0.19/0.41 ((~b) | (~a13)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[360, 190])).
% 0.19/0.41 tff(362,plain,
% 0.19/0.41 (~a13),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[361, 351])).
% 0.19/0.41 tff(363,plain,
% 0.19/0.41 ((a14 | a13) <=> (a13 | a14)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(364,axiom,(a14 | a13), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_4B')).
% 0.19/0.41 tff(365,plain,
% 0.19/0.41 (a13 | a14),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.19/0.41 tff(366,plain,
% 0.19/0.41 (a14),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[365, 362])).
% 0.19/0.41 tff(367,plain,
% 0.19/0.41 (~cI),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[314, 366, 278])).
% 0.19/0.41 tff(368,plain,
% 0.19/0.41 (s2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[327, 367, 283])).
% 0.19/0.41 tff(369,plain,
% 0.19/0.41 (~a16),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[334, 366, 278])).
% 0.19/0.41 tff(370,plain,
% 0.19/0.41 (s1),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[338, 369])).
% 0.19/0.41 tff(371,plain,
% 0.19/0.41 (~conjline18),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[172, 370, 368])).
% 0.19/0.41 tff(372,plain,
% 0.19/0.41 (~a),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[40, 351, 283])).
% 0.19/0.41 tff(373,plain,
% 0.19/0.41 (((~a25) | a) <=> (a | (~a25))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(374,axiom,((~a25) | a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_14A')).
% 0.19/0.41 tff(375,plain,
% 0.19/0.41 (a | (~a25)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[374, 373])).
% 0.19/0.41 tff(376,plain,
% 0.19/0.41 (~a25),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[375, 372])).
% 0.19/0.41 tff(377,plain,
% 0.19/0.41 (~a26),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[239, 376])).
% 0.19/0.41 tff(378,plain,
% 0.19/0.41 (~a22),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[345, 367])).
% 0.19/0.41 tff(379,plain,
% 0.19/0.41 (~c2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[246, 378, 377])).
% 0.19/0.41 tff(380,plain,
% 0.19/0.41 (~conjline19),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[253, 379, 1])).
% 0.19/0.41 tff(381,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[122, 380, 371])).
% 0.19/0.41 tff(382,plain,(c1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(383,plain,
% 0.19/0.41 ((((~a15) | (~c1)) | (~a11)) <=> ((~a11) | (~a15) | (~c1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(384,plain,
% 0.19/0.41 (((~c1) | (~a15)) <=> ((~a15) | (~c1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(385,plain,
% 0.19/0.41 ((((~c1) | (~a15)) | (~a11)) <=> (((~a15) | (~c1)) | (~a11))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[384])).
% 0.19/0.41 tff(386,plain,
% 0.19/0.41 ((((~c1) | (~a15)) | (~a11)) <=> ((~a11) | (~a15) | (~c1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[385, 383])).
% 0.19/0.41 tff(387,axiom,(((~c1) | (~a15)) | (~a11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_9C')).
% 0.19/0.41 tff(388,plain,
% 0.19/0.41 ((~a11) | (~a15) | (~c1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[387, 386])).
% 0.19/0.41 tff(389,plain,
% 0.19/0.41 ((~a15) | (~c1)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[388, 190])).
% 0.19/0.41 tff(390,plain,
% 0.19/0.41 (~a15),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[389, 382])).
% 0.19/0.41 tff(391,plain,
% 0.19/0.41 (a14),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[145, 390])).
% 0.19/0.41 tff(392,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[267, 206, 2, 391])).
% 0.19/0.41 tff(393,plain,(a21), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(394,axiom,(a15 | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_5B')).
% 0.19/0.41 tff(395,plain,
% 0.19/0.41 (cI),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[394, 390])).
% 0.19/0.41 tff(396,plain,
% 0.19/0.41 ((a17 | a15) <=> (a15 | a17)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(397,axiom,(a17 | a15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_7A')).
% 0.19/0.41 tff(398,plain,
% 0.19/0.41 (a15 | a17),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[397, 396])).
% 0.19/0.41 tff(399,plain,
% 0.19/0.41 (a17),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[398, 390])).
% 0.19/0.41 tff(400,plain,
% 0.19/0.41 ((a16 | a15) <=> (a15 | a16)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(401,axiom,(a16 | a15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_6B')).
% 0.19/0.41 tff(402,plain,
% 0.19/0.41 (a15 | a16),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[401, 400])).
% 0.19/0.41 tff(403,plain,
% 0.19/0.41 (a16),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[402, 390])).
% 0.19/0.41 tff(404,plain,
% 0.19/0.41 (~s1),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[113, 403, 399])).
% 0.19/0.41 tff(405,plain,
% 0.19/0.41 (((~cI) | (~a21) | (~s2)) <=> ((~cI) | (~a21) | (~s2))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(406,plain,
% 0.19/0.41 ((((~cI) | (~s2)) | (~a21)) <=> ((~cI) | (~a21) | (~s2))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(407,plain,
% 0.19/0.41 (((~s2) | (~cI)) <=> ((~cI) | (~s2))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(408,plain,
% 0.19/0.41 ((((~s2) | (~cI)) | (~a21)) <=> (((~cI) | (~s2)) | (~a21))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[407])).
% 0.19/0.41 tff(409,plain,
% 0.19/0.41 ((((~s2) | (~cI)) | (~a21)) <=> ((~cI) | (~a21) | (~s2))),
% 0.19/0.41 inference(transitivity,[status(thm)],[408, 406])).
% 0.19/0.41 tff(410,axiom,(((~s2) | (~cI)) | (~a21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16D')).
% 0.19/0.41 tff(411,plain,
% 0.19/0.41 ((~cI) | (~a21) | (~s2)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[410, 409])).
% 0.19/0.41 tff(412,plain,
% 0.19/0.41 ((~cI) | (~a21) | (~s2)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[411, 405])).
% 0.19/0.41 tff(413,plain,
% 0.19/0.41 ((~cI) | (~a21) | (~s2)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[412, 405])).
% 0.19/0.41 tff(414,plain,
% 0.19/0.41 ((~cI) | (~a21) | (~s2)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[413, 405])).
% 0.19/0.41 tff(415,plain,
% 0.19/0.41 ((~cI) | (~a21) | (~s2)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[414, 405])).
% 0.19/0.41 tff(416,plain,
% 0.19/0.41 ((~cI) | (~a21) | (~s2)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[415, 405])).
% 0.19/0.41 tff(417,plain,
% 0.19/0.41 (~s2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[416, 393, 395])).
% 0.19/0.41 tff(418,plain,
% 0.19/0.41 (~conjline18),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[120, 417, 404])).
% 0.19/0.41 tff(419,plain,
% 0.19/0.41 (conjline19),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[122, 418])).
% 0.19/0.41 tff(420,plain,
% 0.19/0.41 (~c2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[129, 419, 382])).
% 0.19/0.41 tff(421,plain,
% 0.19/0.41 (~a22),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[186, 420])).
% 0.19/0.41 tff(422,plain,
% 0.19/0.41 (~a23),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[184, 421, 395])).
% 0.19/0.41 tff(423,plain,
% 0.19/0.41 (~a),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[174, 422])).
% 0.19/0.41 tff(424,axiom,(a23 | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_12B')).
% 0.19/0.41 tff(425,plain,
% 0.19/0.41 (~b),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[424, 422])).
% 0.19/0.41 tff(426,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[289, 425, 423, 393])).
% 0.19/0.41 % SZS output end Proof
%------------------------------------------------------------------------------