%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV003-3 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 Jun 21 05:08:51 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV003-3 : TPTP v9.0.0. Released v2.7.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n014.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 : Thu Jun 19 17:18:09 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(a21_type, type, (
% 0.12/0.38 a21: $o)).
% 0.12/0.38 tff(a14_type, type, (
% 0.12/0.38 a14: $o)).
% 0.12/0.38 tff(a15_type, type, (
% 0.12/0.38 a15: $o)).
% 0.12/0.38 tff(c1_type, type, (
% 0.12/0.38 c1: $o)).
% 0.12/0.38 tff(conjline18_type, type, (
% 0.12/0.38 conjline18: $o)).
% 0.12/0.38 tff(s2_type, type, (
% 0.12/0.38 s2: $o)).
% 0.12/0.38 tff(conjline19_type, type, (
% 0.12/0.38 conjline19: $o)).
% 0.12/0.38 tff(c2_type, type, (
% 0.12/0.38 c2: $o)).
% 0.12/0.38 tff(a22_type, type, (
% 0.12/0.38 a22: $o)).
% 0.12/0.38 tff(a23_type, type, (
% 0.12/0.38 a23: $o)).
% 0.12/0.38 tff(b_type, type, (
% 0.12/0.38 b: $o)).
% 0.12/0.38 tff(a_type, type, (
% 0.12/0.38 a: $o)).
% 0.12/0.38 tff(a11_type, type, (
% 0.12/0.38 a11: $o)).
% 0.12/0.38 tff(cI_type, type, (
% 0.12/0.38 cI: $o)).
% 0.12/0.38 tff(a16_type, type, (
% 0.12/0.38 a16: $o)).
% 0.12/0.38 tff(a12_type, type, (
% 0.12/0.38 a12: $o)).
% 0.12/0.38 tff(a13_type, type, (
% 0.12/0.38 a13: $o)).
% 0.12/0.38 tff(a25_type, type, (
% 0.12/0.38 a25: $o)).
% 0.12/0.38 tff(a26_type, type, (
% 0.12/0.38 a26: $o)).
% 0.12/0.38 tff(a24_type, type, (
% 0.12/0.38 a24: $o)).
% 0.12/0.38 tff(s1_type, type, (
% 0.12/0.38 s1: $o)).
% 0.12/0.38 tff(a17_type, type, (
% 0.12/0.38 a17: $o)).
% 0.12/0.38 tff(1,assumption,(~c1), introduced(assumption)).
% 0.12/0.38 tff(2,assumption,(~a21), introduced(assumption)).
% 0.12/0.38 tff(3,assumption,(b), introduced(assumption)).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 ((a | (~b) | a21) <=> (a | (~b) | a21)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (((a | a21) | (~b)) <=> (a | (~b) | a21)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 ((a21 | a) <=> (a | a21)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (((a21 | a) | (~b)) <=> ((a | a21) | (~b))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[6])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (((a21 | a) | (~b)) <=> (a | (~b) | a21)),
% 0.12/0.38 inference(transitivity,[status(thm)],[7, 5])).
% 0.12/0.38 tff(9,axiom,((a21 | a) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10A')).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (a | (~b) | a21),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (a | (~b) | a21),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[10, 4])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (a | (~b) | a21),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (a | (~b) | a21),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[12, 4])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (a),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[13, 3, 2])).
% 0.12/0.38 tff(15,assumption,(~a11), introduced(assumption)).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 ((a11 | a) <=> (a11 | a)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(17,axiom,(a11 | a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1A')).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (a11 | a),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (a11 | a),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[18, 16])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (a11 | a),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (a11 | a),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (a),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[21, 15])).
% 0.12/0.38 tff(23,axiom,(a11 | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1B')).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 (b),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[23, 15])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (((~a) | (~b) | (~a21)) <=> ((~a) | (~b) | (~a21))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 ((((~a) | (~a21)) | (~b)) <=> ((~a) | (~b) | (~a21))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 (((~a21) | (~a)) <=> ((~a) | (~a21))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 ((((~a21) | (~a)) | (~b)) <=> (((~a) | (~a21)) | (~b))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[27])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 ((((~a21) | (~a)) | (~b)) <=> ((~a) | (~b) | (~a21))),
% 0.12/0.38 inference(transitivity,[status(thm)],[28, 26])).
% 0.12/0.38 tff(30,axiom,(((~a21) | (~a)) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10D')).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 ((~a) | (~b) | (~a21)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.38 tff(32,plain,
% 0.12/0.38 ((~a) | (~b) | (~a21)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[31, 25])).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 ((~a) | (~b) | (~a21)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 ((~a) | (~b) | (~a21)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[33, 25])).
% 0.12/0.38 tff(35,plain,
% 0.12/0.38 (~a21),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[34, 24, 22])).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 ((a12 | a11) <=> (a11 | a12)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(37,axiom,(a12 | a11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2B')).
% 0.12/0.38 tff(38,plain,
% 0.12/0.38 (a11 | a12),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.12/0.38 tff(39,plain,
% 0.12/0.38 (a12),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[38, 15])).
% 0.12/0.38 tff(40,plain,
% 0.12/0.38 ((a13 | a11) <=> (a11 | a13)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(41,axiom,(a13 | a11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_3B')).
% 0.12/0.38 tff(42,plain,
% 0.12/0.38 (a11 | a13),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.12/0.38 tff(43,plain,
% 0.12/0.38 (a13),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[42, 15])).
% 0.12/0.38 tff(44,plain,
% 0.12/0.38 ((((~a12) | (~a14)) | (~a13)) <=> ((~a12) | (~a13) | (~a14))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(45,plain,
% 0.12/0.38 (((~a14) | (~a12)) <=> ((~a12) | (~a14))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(46,plain,
% 0.12/0.38 ((((~a14) | (~a12)) | (~a13)) <=> (((~a12) | (~a14)) | (~a13))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[45])).
% 0.12/0.38 tff(47,plain,
% 0.12/0.38 ((((~a14) | (~a12)) | (~a13)) <=> ((~a12) | (~a13) | (~a14))),
% 0.12/0.38 inference(transitivity,[status(thm)],[46, 44])).
% 0.12/0.38 tff(48,axiom,(((~a14) | (~a12)) | (~a13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_4C')).
% 0.12/0.38 tff(49,plain,
% 0.12/0.38 ((~a12) | (~a13) | (~a14)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.12/0.38 tff(50,plain,
% 0.12/0.38 (~a14),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[49, 43, 39])).
% 0.12/0.38 tff(51,plain,
% 0.12/0.38 ((a16 | a14) <=> (a14 | a16)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(52,axiom,(a16 | a14), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_6A')).
% 0.12/0.38 tff(53,plain,
% 0.12/0.38 (a14 | a16),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.12/0.38 tff(54,plain,
% 0.12/0.38 (a16),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[53, 50])).
% 0.12/0.38 tff(55,plain,
% 0.12/0.38 (((~a) | (~b) | a25) <=> ((~a) | (~b) | a25)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 (((a25 | (~a)) | (~b)) <=> ((~a) | (~b) | a25)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(57,axiom,((a25 | (~a)) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_14C')).
% 0.12/0.38 tff(58,plain,
% 0.12/0.38 ((~a) | (~b) | a25),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.12/0.38 tff(59,plain,
% 0.12/0.38 ((~a) | (~b) | a25),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[58, 55])).
% 0.12/0.38 tff(60,plain,
% 0.12/0.38 ((~a) | (~b) | a25),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.12/0.38 tff(61,plain,
% 0.12/0.38 ((~a) | (~b) | a25),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[60, 55])).
% 0.12/0.38 tff(62,plain,
% 0.12/0.38 (a25),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[61, 24, 22])).
% 0.12/0.38 tff(63,plain,
% 0.12/0.38 ((c1 | a11) <=> (a11 | c1)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(64,axiom,(c1 | a11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_9B')).
% 0.12/0.38 tff(65,plain,
% 0.12/0.38 (a11 | c1),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.38 tff(66,plain,
% 0.12/0.38 (c1),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[65, 15])).
% 0.12/0.38 tff(67,assumption,(c1), introduced(assumption)).
% 0.12/0.38 tff(68,assumption,(a25), introduced(assumption)).
% 0.12/0.38 tff(69,assumption,(~cI), introduced(assumption)).
% 0.12/0.38 tff(70,axiom,(a24 | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_13A')).
% 0.12/0.38 tff(71,plain,
% 0.12/0.38 (a24),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.12/0.38 tff(72,plain,
% 0.12/0.38 (((~a24) | (~a25) | a26) <=> ((~a24) | (~a25) | a26)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(73,plain,
% 0.12/0.38 (((a26 | (~a24)) | (~a25)) <=> ((~a24) | (~a25) | a26)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(74,axiom,((a26 | (~a24)) | (~a25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_15C')).
% 0.12/0.38 tff(75,plain,
% 0.12/0.38 ((~a24) | (~a25) | a26),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.12/0.38 tff(76,plain,
% 0.12/0.38 ((~a24) | (~a25) | a26),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[75, 72])).
% 0.12/0.38 tff(77,plain,
% 0.12/0.38 ((~a24) | (~a25) | a26),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[76, 72])).
% 0.12/0.38 tff(78,plain,
% 0.12/0.38 ((~a24) | (~a25) | a26),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[77, 72])).
% 0.12/0.38 tff(79,plain,
% 0.12/0.38 (a26),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[78, 71, 68])).
% 0.12/0.38 tff(80,axiom,(c2 | (~a26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_17B')).
% 0.12/0.38 tff(81,plain,
% 0.12/0.38 (c2),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.12/0.38 tff(82,plain,
% 0.12/0.38 ((cI | a21 | (~s2)) <=> (cI | a21 | (~s2))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(83,plain,
% 0.12/0.38 (((cI | (~s2)) | a21) <=> (cI | a21 | (~s2))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(84,plain,
% 0.12/0.38 (((~s2) | cI) <=> (cI | (~s2))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(85,plain,
% 0.12/0.38 ((((~s2) | cI) | a21) <=> ((cI | (~s2)) | a21)),
% 0.12/0.38 inference(monotonicity,[status(thm)],[84])).
% 0.12/0.38 tff(86,plain,
% 0.12/0.38 ((((~s2) | cI) | a21) <=> (cI | a21 | (~s2))),
% 0.12/0.38 inference(transitivity,[status(thm)],[85, 83])).
% 0.12/0.38 tff(87,axiom,(((~s2) | cI) | a21), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16C')).
% 0.12/0.38 tff(88,plain,
% 0.12/0.38 (cI | a21 | (~s2)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.12/0.38 tff(89,plain,
% 0.12/0.38 (cI | a21 | (~s2)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[88, 82])).
% 0.12/0.38 tff(90,plain,
% 0.12/0.38 (cI | a21 | (~s2)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.12/0.38 tff(91,plain,
% 0.12/0.38 (cI | a21 | (~s2)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[90, 82])).
% 0.12/0.38 tff(92,plain,
% 0.12/0.38 (~s2),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[91, 69, 2])).
% 0.12/0.38 tff(93,assumption,(a16), introduced(assumption)).
% 0.12/0.38 tff(94,axiom,(a17 | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_7B')).
% 0.12/0.38 tff(95,plain,
% 0.12/0.38 (a17),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[94, 69])).
% 0.12/0.38 tff(96,plain,
% 0.12/0.38 ((((~a16) | (~s1)) | (~a17)) <=> ((~a16) | (~a17) | (~s1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(97,plain,
% 0.12/0.38 (((~s1) | (~a16)) <=> ((~a16) | (~s1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(98,plain,
% 0.12/0.38 ((((~s1) | (~a16)) | (~a17)) <=> (((~a16) | (~s1)) | (~a17))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[97])).
% 0.12/0.38 tff(99,plain,
% 0.12/0.38 ((((~s1) | (~a16)) | (~a17)) <=> ((~a16) | (~a17) | (~s1))),
% 0.12/0.38 inference(transitivity,[status(thm)],[98, 96])).
% 0.12/0.38 tff(100,axiom,(((~s1) | (~a16)) | (~a17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_8C')).
% 0.12/0.38 tff(101,plain,
% 0.12/0.38 ((~a16) | (~a17) | (~s1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.12/0.38 tff(102,plain,
% 0.12/0.38 (~s1),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[101, 95, 93])).
% 0.12/0.38 tff(103,plain,
% 0.12/0.38 (((s1 | (~conjline18)) | s2) <=> (s1 | s2 | (~conjline18))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(104,plain,
% 0.12/0.38 (((~conjline18) | s1) <=> (s1 | (~conjline18))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(105,plain,
% 0.12/0.38 ((((~conjline18) | s1) | s2) <=> ((s1 | (~conjline18)) | s2)),
% 0.12/0.38 inference(monotonicity,[status(thm)],[104])).
% 0.12/0.38 tff(106,plain,
% 0.12/0.38 ((((~conjline18) | s1) | s2) <=> (s1 | s2 | (~conjline18))),
% 0.12/0.38 inference(transitivity,[status(thm)],[105, 103])).
% 0.12/0.38 tff(107,axiom,(((~conjline18) | s1) | s2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_18C')).
% 0.12/0.38 tff(108,plain,
% 0.12/0.38 (s1 | s2 | (~conjline18)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.12/0.38 tff(109,plain,
% 0.12/0.38 (~conjline18),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[108, 102, 92])).
% 0.12/0.38 tff(110,axiom,(conjline18 | conjline19), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_20')).
% 0.12/0.38 tff(111,plain,
% 0.12/0.38 (conjline19),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.12/0.38 tff(112,plain,
% 0.12/0.38 ((((~c1) | (~conjline19)) | (~c2)) <=> ((~c1) | (~c2) | (~conjline19))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(113,plain,
% 0.12/0.38 (((~conjline19) | (~c1)) <=> ((~c1) | (~conjline19))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(114,plain,
% 0.12/0.38 ((((~conjline19) | (~c1)) | (~c2)) <=> (((~c1) | (~conjline19)) | (~c2))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[113])).
% 0.12/0.38 tff(115,plain,
% 0.12/0.38 ((((~conjline19) | (~c1)) | (~c2)) <=> ((~c1) | (~c2) | (~conjline19))),
% 0.12/0.38 inference(transitivity,[status(thm)],[114, 112])).
% 0.12/0.38 tff(116,axiom,(((~conjline19) | (~c1)) | (~c2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_19D')).
% 0.12/0.38 tff(117,plain,
% 0.12/0.38 ((~c1) | (~c2) | (~conjline19)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.12/0.38 tff(118,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[117, 111, 81, 67])).
% 0.20/0.38 tff(119,plain,(cI | (~c1) | (~a25) | (~a16) | a21), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(120,plain,
% 0.20/0.38 (cI),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[119, 66, 62, 54, 35])).
% 0.20/0.38 tff(121,plain,
% 0.20/0.38 (((~cI) | a21 | s2) <=> ((~cI) | a21 | s2)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(122,plain,
% 0.20/0.38 (((s2 | (~cI)) | a21) <=> ((~cI) | a21 | s2)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(123,axiom,((s2 | (~cI)) | a21), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16B')).
% 0.20/0.38 tff(124,plain,
% 0.20/0.38 ((~cI) | a21 | s2),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.20/0.38 tff(125,plain,
% 0.20/0.38 ((~cI) | a21 | s2),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[124, 121])).
% 0.20/0.38 tff(126,plain,
% 0.20/0.38 ((~cI) | a21 | s2),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.20/0.38 tff(127,plain,
% 0.20/0.38 ((~cI) | a21 | s2),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[126, 121])).
% 0.20/0.38 tff(128,plain,
% 0.20/0.38 (s2),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[127, 120, 35])).
% 0.20/0.38 tff(129,plain,
% 0.20/0.38 ((a15 | a14) <=> (a14 | a15)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(130,axiom,(a15 | a14), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_5A')).
% 0.20/0.38 tff(131,plain,
% 0.20/0.38 (a14 | a15),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.20/0.38 tff(132,plain,
% 0.20/0.38 (a15),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[131, 50])).
% 0.20/0.38 tff(133,plain,
% 0.20/0.38 (((~a15) | (~cI) | (~a17)) <=> ((~a15) | (~cI) | (~a17))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(134,plain,
% 0.20/0.38 ((((~a15) | (~a17)) | (~cI)) <=> ((~a15) | (~cI) | (~a17))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(135,plain,
% 0.20/0.38 (((~a17) | (~a15)) <=> ((~a15) | (~a17))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(136,plain,
% 0.20/0.38 ((((~a17) | (~a15)) | (~cI)) <=> (((~a15) | (~a17)) | (~cI))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[135])).
% 0.20/0.38 tff(137,plain,
% 0.20/0.38 ((((~a17) | (~a15)) | (~cI)) <=> ((~a15) | (~cI) | (~a17))),
% 0.20/0.38 inference(transitivity,[status(thm)],[136, 134])).
% 0.20/0.38 tff(138,axiom,(((~a17) | (~a15)) | (~cI)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_7C')).
% 0.20/0.39 tff(139,plain,
% 0.20/0.39 ((~a15) | (~cI) | (~a17)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.20/0.39 tff(140,plain,
% 0.20/0.39 ((~a15) | (~cI) | (~a17)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[139, 133])).
% 0.20/0.39 tff(141,plain,
% 0.20/0.39 ((~a15) | (~cI) | (~a17)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[140, 133])).
% 0.20/0.39 tff(142,plain,
% 0.20/0.39 ((~a15) | (~cI) | (~a17)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[141, 133])).
% 0.20/0.39 tff(143,plain,
% 0.20/0.39 (~a17),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[142, 120, 132])).
% 0.20/0.39 tff(144,plain,
% 0.20/0.39 ((s1 | a17) <=> (a17 | s1)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(145,axiom,(s1 | a17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_8B')).
% 0.20/0.39 tff(146,plain,
% 0.20/0.39 (a17 | s1),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.20/0.39 tff(147,plain,
% 0.20/0.39 (s1),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[146, 143])).
% 0.20/0.39 tff(148,plain,
% 0.20/0.39 (((~s1) | (~s2) | (~conjline18)) <=> ((~s1) | (~s2) | (~conjline18))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(149,plain,
% 0.20/0.39 ((((~conjline18) | (~s1)) | (~s2)) <=> ((~s1) | (~s2) | (~conjline18))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(150,axiom,(((~conjline18) | (~s1)) | (~s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_18D')).
% 0.20/0.39 tff(151,plain,
% 0.20/0.39 ((~s1) | (~s2) | (~conjline18)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.20/0.39 tff(152,plain,
% 0.20/0.39 ((~s1) | (~s2) | (~conjline18)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[151, 148])).
% 0.20/0.39 tff(153,plain,
% 0.20/0.39 ((~s1) | (~s2) | (~conjline18)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[152, 148])).
% 0.20/0.39 tff(154,plain,
% 0.20/0.39 ((~s1) | (~s2) | (~conjline18)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[153, 148])).
% 0.20/0.39 tff(155,plain,
% 0.20/0.39 (~conjline18),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[154, 147, 128])).
% 0.20/0.39 tff(156,axiom,(a23 | (~a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_12A')).
% 0.20/0.39 tff(157,plain,
% 0.20/0.39 (a23),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[156, 22])).
% 0.20/0.39 tff(158,plain,
% 0.20/0.39 (((~cI) | a22 | (~a23)) <=> ((~cI) | a22 | (~a23))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(159,plain,
% 0.20/0.39 (((a22 | (~cI)) | (~a23)) <=> ((~cI) | a22 | (~a23))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(160,axiom,((a22 | (~cI)) | (~a23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_11C')).
% 0.20/0.39 tff(161,plain,
% 0.20/0.39 ((~cI) | a22 | (~a23)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.39 tff(162,plain,
% 0.20/0.39 ((~cI) | a22 | (~a23)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[161, 158])).
% 0.20/0.39 tff(163,plain,
% 0.20/0.39 ((~cI) | a22 | (~a23)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[162, 158])).
% 0.20/0.39 tff(164,plain,
% 0.20/0.39 ((~cI) | a22 | (~a23)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[163, 158])).
% 0.20/0.39 tff(165,plain,
% 0.20/0.39 (a22),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[164, 120, 157])).
% 0.20/0.39 tff(166,axiom,(c2 | (~a22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_17A')).
% 0.20/0.39 tff(167,plain,
% 0.20/0.39 (c2),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[166, 165])).
% 0.20/0.39 tff(168,plain,
% 0.20/0.39 (~conjline19),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[117, 167, 66])).
% 0.20/0.39 tff(169,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[110, 168, 155])).
% 0.20/0.39 tff(170,plain,(a11), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(171,plain,
% 0.20/0.39 (((~a11) | (~a) | (~b)) <=> ((~a11) | (~a) | (~b))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(172,plain,
% 0.20/0.39 ((((~a11) | (~a)) | (~b)) <=> ((~a11) | (~a) | (~b))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(173,plain,
% 0.20/0.39 (((~a11) | (~a)) <=> ((~a11) | (~a))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(174,plain,
% 0.20/0.39 ((((~a11) | (~a)) | (~b)) <=> (((~a11) | (~a)) | (~b))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[173])).
% 0.20/0.39 tff(175,plain,
% 0.20/0.39 ((((~a11) | (~a)) | (~b)) <=> ((~a11) | (~a) | (~b))),
% 0.20/0.39 inference(transitivity,[status(thm)],[174, 172])).
% 0.20/0.39 tff(176,axiom,(((~a11) | (~a)) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1C')).
% 0.20/0.39 tff(177,plain,
% 0.20/0.39 ((~a11) | (~a) | (~b)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.20/0.39 tff(178,plain,
% 0.20/0.39 ((~a11) | (~a) | (~b)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[177, 171])).
% 0.20/0.39 tff(179,plain,
% 0.20/0.39 ((~a11) | (~a) | (~b)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[178, 171])).
% 0.20/0.39 tff(180,plain,
% 0.20/0.39 ((~a11) | (~a) | (~b)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[179, 171])).
% 0.20/0.39 tff(181,plain,
% 0.20/0.39 ((~a) | (~b)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[180, 170])).
% 0.20/0.39 tff(182,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[181, 14, 3])).
% 0.20/0.39 tff(183,plain,((~b) | a21), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(184,plain,
% 0.20/0.39 (~b),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[183, 2])).
% 0.20/0.39 tff(185,plain,
% 0.20/0.39 ((b | (~a) | a21) <=> (b | (~a) | a21)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(186,plain,
% 0.20/0.39 (((a21 | (~a)) | b) <=> (b | (~a) | a21)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(187,axiom,((a21 | (~a)) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10B')).
% 0.20/0.39 tff(188,plain,
% 0.20/0.39 (b | (~a) | a21),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.20/0.39 tff(189,plain,
% 0.20/0.39 (b | (~a) | a21),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[188, 185])).
% 0.20/0.39 tff(190,plain,
% 0.20/0.39 (b | (~a) | a21),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[189, 185])).
% 0.20/0.39 tff(191,plain,
% 0.20/0.39 (b | (~a) | a21),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[190, 185])).
% 0.20/0.39 tff(192,plain,
% 0.20/0.39 (~a),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[191, 184, 2])).
% 0.20/0.39 tff(193,plain,
% 0.20/0.39 (((a | (~a23)) | b) <=> (a | b | (~a23))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(194,plain,
% 0.20/0.39 (((~a23) | a) <=> (a | (~a23))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(195,plain,
% 0.20/0.39 ((((~a23) | a) | b) <=> ((a | (~a23)) | b)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[194])).
% 0.20/0.39 tff(196,plain,
% 0.20/0.39 ((((~a23) | a) | b) <=> (a | b | (~a23))),
% 0.20/0.39 inference(transitivity,[status(thm)],[195, 193])).
% 0.20/0.39 tff(197,axiom,(((~a23) | a) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_12C')).
% 0.20/0.39 tff(198,plain,
% 0.20/0.39 (a | b | (~a23)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.20/0.39 tff(199,plain,
% 0.20/0.39 (~a23),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[198, 192, 184])).
% 0.20/0.39 tff(200,plain,
% 0.20/0.39 (((~a22) | a23) <=> ((~a22) | a23)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(201,axiom,((~a22) | a23), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_11B')).
% 0.20/0.39 tff(202,plain,
% 0.20/0.39 ((~a22) | a23),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.20/0.39 tff(203,plain,
% 0.20/0.39 ((~a22) | a23),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[202, 200])).
% 0.20/0.39 tff(204,plain,
% 0.20/0.39 ((~a22) | a23),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[203, 200])).
% 0.20/0.39 tff(205,plain,
% 0.20/0.39 ((~a22) | a23),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[204, 200])).
% 0.20/0.39 tff(206,plain,
% 0.20/0.39 (~a22),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[205, 199])).
% 0.20/0.39 tff(207,plain,
% 0.20/0.39 (((~a25) | b) <=> (b | (~a25))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(208,axiom,((~a25) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_14B')).
% 0.20/0.39 tff(209,plain,
% 0.20/0.39 (b | (~a25)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.20/0.39 tff(210,plain,
% 0.20/0.39 (~a25),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[209, 184])).
% 0.20/0.39 tff(211,plain,
% 0.20/0.39 (((~a26) | a25) <=> (a25 | (~a26))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(212,axiom,((~a26) | a25), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_15B')).
% 0.20/0.39 tff(213,plain,
% 0.20/0.39 (a25 | (~a26)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.20/0.39 tff(214,plain,
% 0.20/0.39 (~a26),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[213, 210])).
% 0.20/0.39 tff(215,plain,
% 0.20/0.39 (((a22 | (~c2)) | a26) <=> (a22 | a26 | (~c2))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(216,plain,
% 0.20/0.39 (((~c2) | a22) <=> (a22 | (~c2))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(217,plain,
% 0.20/0.39 ((((~c2) | a22) | a26) <=> ((a22 | (~c2)) | a26)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[216])).
% 0.20/0.39 tff(218,plain,
% 0.20/0.39 ((((~c2) | a22) | a26) <=> (a22 | a26 | (~c2))),
% 0.20/0.39 inference(transitivity,[status(thm)],[217, 215])).
% 0.20/0.39 tff(219,axiom,(((~c2) | a22) | a26), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_17C')).
% 0.20/0.39 tff(220,plain,
% 0.20/0.39 (a22 | a26 | (~c2)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.20/0.39 tff(221,plain,
% 0.20/0.39 (~c2),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[220, 214, 206])).
% 0.20/0.39 tff(222,plain,
% 0.20/0.39 (((c1 | (~conjline19)) | c2) <=> (c1 | c2 | (~conjline19))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(223,plain,
% 0.20/0.39 (((~conjline19) | c1) <=> (c1 | (~conjline19))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(224,plain,
% 0.20/0.39 ((((~conjline19) | c1) | c2) <=> ((c1 | (~conjline19)) | c2)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[223])).
% 0.20/0.39 tff(225,plain,
% 0.20/0.39 ((((~conjline19) | c1) | c2) <=> (c1 | c2 | (~conjline19))),
% 0.20/0.39 inference(transitivity,[status(thm)],[224, 222])).
% 0.20/0.39 tff(226,axiom,(((~conjline19) | c1) | c2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_19C')).
% 0.20/0.39 tff(227,plain,
% 0.20/0.39 (c1 | c2 | (~conjline19)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.20/0.39 tff(228,plain,
% 0.20/0.39 (~conjline19),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[227, 221, 1])).
% 0.20/0.39 tff(229,plain,
% 0.20/0.39 (conjline18),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[110, 228])).
% 0.20/0.39 tff(230,assumption,(conjline18), introduced(assumption)).
% 0.20/0.39 tff(231,assumption,(~b), introduced(assumption)).
% 0.20/0.39 tff(232,plain,
% 0.20/0.39 (~a),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[191, 231, 2])).
% 0.20/0.39 tff(233,assumption,(a14), introduced(assumption)).
% 0.20/0.39 tff(234,axiom,(a13 | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_3A')).
% 0.20/0.39 tff(235,plain,
% 0.20/0.39 (a13),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[234, 231])).
% 0.20/0.39 tff(236,plain,
% 0.20/0.39 (~a12),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[49, 235, 233])).
% 0.20/0.39 tff(237,plain,
% 0.20/0.39 ((a12 | a) <=> (a | a12)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(238,axiom,(a12 | a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2A')).
% 0.20/0.39 tff(239,plain,
% 0.20/0.39 (a | a12),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.20/0.39 tff(240,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[239, 236, 232])).
% 0.20/0.39 tff(241,plain,(b | (~a14) | a21), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(242,plain,
% 0.20/0.39 (~a14),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[241, 184, 2])).
% 0.20/0.39 tff(243,plain,
% 0.20/0.39 (a16),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[53, 242])).
% 0.20/0.39 tff(244,plain,
% 0.20/0.39 (~s1),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[101, 95, 243])).
% 0.20/0.39 tff(245,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[108, 244, 92, 230])).
% 0.20/0.39 tff(246,plain,(cI | (~conjline18) | a21), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(247,plain,
% 0.20/0.39 (cI),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[246, 229, 2])).
% 0.20/0.39 tff(248,plain,
% 0.20/0.39 (s2),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[127, 247, 2])).
% 0.20/0.39 tff(249,plain,
% 0.20/0.39 ((c1 | a15) <=> (a15 | c1)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(250,axiom,(c1 | a15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_9A')).
% 0.20/0.39 tff(251,plain,
% 0.20/0.39 (a15 | c1),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.20/0.39 tff(252,plain,
% 0.20/0.39 (a15),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[251, 1])).
% 0.20/0.39 tff(253,plain,
% 0.20/0.39 (~a17),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[142, 247, 252])).
% 0.20/0.39 tff(254,plain,
% 0.20/0.39 (s1),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[146, 253])).
% 0.20/0.39 tff(255,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[154, 254, 248, 229])).
% 0.20/0.39 tff(256,plain,(a21 | c1), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(257,plain,
% 0.20/0.39 (a21),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[256, 1])).
% 0.20/0.39 tff(258,plain,
% 0.20/0.39 (((a | (~a21)) | b) <=> (a | b | (~a21))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(259,plain,
% 0.20/0.39 (((~a21) | a) <=> (a | (~a21))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(260,plain,
% 0.20/0.39 ((((~a21) | a) | b) <=> ((a | (~a21)) | b)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[259])).
% 0.20/0.39 tff(261,plain,
% 0.20/0.39 ((((~a21) | a) | b) <=> (a | b | (~a21))),
% 0.20/0.39 inference(transitivity,[status(thm)],[260, 258])).
% 0.20/0.39 tff(262,axiom,(((~a21) | a) | b), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_10C')).
% 0.20/0.39 tff(263,plain,
% 0.20/0.39 (a | b | (~a21)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.20/0.39 tff(264,plain,
% 0.20/0.39 (a),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[263, 231, 257])).
% 0.20/0.39 tff(265,plain,
% 0.20/0.39 (((~a11) | (~a) | (~a12)) <=> ((~a11) | (~a) | (~a12))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(266,plain,
% 0.20/0.39 ((((~a) | (~a12)) | (~a11)) <=> ((~a11) | (~a) | (~a12))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(267,plain,
% 0.20/0.39 (((~a12) | (~a)) <=> ((~a) | (~a12))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(268,plain,
% 0.20/0.39 ((((~a12) | (~a)) | (~a11)) <=> (((~a) | (~a12)) | (~a11))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[267])).
% 0.20/0.39 tff(269,plain,
% 0.20/0.39 ((((~a12) | (~a)) | (~a11)) <=> ((~a11) | (~a) | (~a12))),
% 0.20/0.39 inference(transitivity,[status(thm)],[268, 266])).
% 0.20/0.39 tff(270,axiom,(((~a12) | (~a)) | (~a11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2C')).
% 0.20/0.39 tff(271,plain,
% 0.20/0.39 ((~a11) | (~a) | (~a12)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.20/0.39 tff(272,plain,
% 0.20/0.39 ((~a11) | (~a) | (~a12)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[271, 265])).
% 0.20/0.39 tff(273,plain,
% 0.20/0.39 ((~a11) | (~a) | (~a12)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[272, 265])).
% 0.20/0.39 tff(274,plain,
% 0.20/0.39 ((~a11) | (~a) | (~a12)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[273, 265])).
% 0.20/0.39 tff(275,plain,
% 0.20/0.39 ((~a) | (~a12)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[274, 170])).
% 0.20/0.39 tff(276,plain,
% 0.20/0.39 (~a12),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[275, 264])).
% 0.20/0.39 tff(277,plain,
% 0.20/0.39 ((a14 | a12) <=> (a12 | a14)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(278,axiom,(a14 | a12), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_4A')).
% 0.20/0.39 tff(279,plain,
% 0.20/0.39 (a12 | a14),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.20/0.39 tff(280,plain,
% 0.20/0.39 (a14),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[279, 276])).
% 0.20/0.39 tff(281,plain,
% 0.20/0.39 ((((~a14) | (~a15)) | (~cI)) <=> ((~a14) | (~a15) | (~cI))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(282,plain,
% 0.20/0.39 (((~a15) | (~a14)) <=> ((~a14) | (~a15))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(283,plain,
% 0.20/0.39 ((((~a15) | (~a14)) | (~cI)) <=> (((~a14) | (~a15)) | (~cI))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[282])).
% 0.20/0.39 tff(284,plain,
% 0.20/0.39 ((((~a15) | (~a14)) | (~cI)) <=> ((~a14) | (~a15) | (~cI))),
% 0.20/0.39 inference(transitivity,[status(thm)],[283, 281])).
% 0.20/0.39 tff(285,axiom,(((~a15) | (~a14)) | (~cI)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_5C')).
% 0.20/0.39 tff(286,plain,
% 0.20/0.39 ((~a14) | (~a15) | (~cI)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.20/0.39 tff(287,plain,
% 0.20/0.39 (~cI),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[286, 280, 252])).
% 0.20/0.39 tff(288,plain,
% 0.20/0.39 ((cI | (~a21) | s2) <=> (cI | (~a21) | s2)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(289,plain,
% 0.20/0.39 (((cI | s2) | (~a21)) <=> (cI | (~a21) | s2)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(290,plain,
% 0.20/0.39 ((s2 | cI) <=> (cI | s2)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(291,plain,
% 0.20/0.39 (((s2 | cI) | (~a21)) <=> ((cI | s2) | (~a21))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[290])).
% 0.20/0.39 tff(292,plain,
% 0.20/0.39 (((s2 | cI) | (~a21)) <=> (cI | (~a21) | s2)),
% 0.20/0.39 inference(transitivity,[status(thm)],[291, 289])).
% 0.20/0.39 tff(293,axiom,((s2 | cI) | (~a21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16A')).
% 0.20/0.39 tff(294,plain,
% 0.20/0.39 (cI | (~a21) | s2),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.20/0.39 tff(295,plain,
% 0.20/0.39 (cI | (~a21) | s2),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[294, 288])).
% 0.20/0.39 tff(296,plain,
% 0.20/0.39 (cI | (~a21) | s2),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[295, 288])).
% 0.20/0.39 tff(297,plain,
% 0.20/0.39 (cI | (~a21) | s2),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[296, 288])).
% 0.20/0.39 tff(298,plain,
% 0.20/0.39 (s2),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[297, 287, 257])).
% 0.20/0.39 tff(299,plain,
% 0.20/0.39 ((((~a14) | (~a16)) | (~a15)) <=> ((~a14) | (~a15) | (~a16))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(300,plain,
% 0.20/0.39 (((~a16) | (~a14)) <=> ((~a14) | (~a16))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(301,plain,
% 0.20/0.39 ((((~a16) | (~a14)) | (~a15)) <=> (((~a14) | (~a16)) | (~a15))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[300])).
% 0.20/0.39 tff(302,plain,
% 0.20/0.39 ((((~a16) | (~a14)) | (~a15)) <=> ((~a14) | (~a15) | (~a16))),
% 0.20/0.39 inference(transitivity,[status(thm)],[301, 299])).
% 0.20/0.39 tff(303,axiom,(((~a16) | (~a14)) | (~a15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_6C')).
% 0.20/0.39 tff(304,plain,
% 0.20/0.39 ((~a14) | (~a15) | (~a16)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[303, 302])).
% 0.20/0.39 tff(305,plain,
% 0.20/0.39 (~a16),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[304, 280, 252])).
% 0.20/0.39 tff(306,plain,
% 0.20/0.39 ((s1 | a16) <=> (a16 | s1)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(307,axiom,(s1 | a16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_8A')).
% 0.20/0.39 tff(308,plain,
% 0.20/0.39 (a16 | s1),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.20/0.39 tff(309,plain,
% 0.20/0.39 (s1),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[308, 305])).
% 0.20/0.39 tff(310,plain,
% 0.20/0.39 (~conjline18),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[154, 309, 298])).
% 0.20/0.39 tff(311,plain,
% 0.20/0.39 (~a25),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[209, 231])).
% 0.20/0.39 tff(312,plain,
% 0.20/0.39 (~a26),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[213, 311])).
% 0.20/0.39 tff(313,plain,
% 0.20/0.39 (((~a22) | cI) <=> (cI | (~a22))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(314,axiom,((~a22) | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_11A')).
% 0.20/0.39 tff(315,plain,
% 0.20/0.39 (cI | (~a22)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[314, 313])).
% 0.20/0.39 tff(316,plain,
% 0.20/0.39 (~a22),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[315, 287])).
% 0.20/0.39 tff(317,plain,
% 0.20/0.39 (~c2),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[220, 316, 312])).
% 0.20/0.39 tff(318,plain,
% 0.20/0.39 (~conjline19),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[227, 317, 1])).
% 0.20/0.39 tff(319,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[110, 318, 310])).
% 0.20/0.39 tff(320,plain,(b | c1), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(321,plain,
% 0.20/0.39 (b),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[320, 1])).
% 0.20/0.39 tff(322,plain,
% 0.20/0.39 (((~a11) | (~b) | (~a13)) <=> ((~a11) | (~b) | (~a13))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(323,plain,
% 0.20/0.39 ((((~a13) | (~b)) | (~a11)) <=> ((~a11) | (~b) | (~a13))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(324,axiom,(((~a13) | (~b)) | (~a11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_3C')).
% 0.20/0.39 tff(325,plain,
% 0.20/0.39 ((~a11) | (~b) | (~a13)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.20/0.40 tff(326,plain,
% 0.20/0.40 ((~a11) | (~b) | (~a13)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[325, 322])).
% 0.20/0.40 tff(327,plain,
% 0.20/0.40 ((~a11) | (~b) | (~a13)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[326, 322])).
% 0.20/0.40 tff(328,plain,
% 0.20/0.40 ((~a11) | (~b) | (~a13)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[327, 322])).
% 0.20/0.40 tff(329,plain,
% 0.20/0.40 ((~b) | (~a13)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[328, 170])).
% 0.20/0.40 tff(330,plain,
% 0.20/0.40 (~a13),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[329, 321])).
% 0.20/0.40 tff(331,plain,
% 0.20/0.40 ((a14 | a13) <=> (a13 | a14)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(332,axiom,(a14 | a13), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_4B')).
% 0.20/0.40 tff(333,plain,
% 0.20/0.40 (a13 | a14),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[332, 331])).
% 0.20/0.40 tff(334,plain,
% 0.20/0.40 (a14),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[333, 330])).
% 0.20/0.40 tff(335,plain,
% 0.20/0.40 (~cI),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[286, 334, 252])).
% 0.20/0.40 tff(336,plain,
% 0.20/0.40 (s2),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[297, 335, 257])).
% 0.20/0.40 tff(337,plain,
% 0.20/0.40 (~a16),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[304, 334, 252])).
% 0.20/0.40 tff(338,plain,
% 0.20/0.40 (s1),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[308, 337])).
% 0.20/0.40 tff(339,plain,
% 0.20/0.40 (~conjline18),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[154, 338, 336])).
% 0.20/0.40 tff(340,plain,
% 0.20/0.40 (~a),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[34, 321, 257])).
% 0.20/0.40 tff(341,plain,
% 0.20/0.40 (((~a25) | a) <=> (a | (~a25))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(342,axiom,((~a25) | a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_14A')).
% 0.20/0.40 tff(343,plain,
% 0.20/0.40 (a | (~a25)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[342, 341])).
% 0.20/0.40 tff(344,plain,
% 0.20/0.40 (~a25),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[343, 340])).
% 0.20/0.40 tff(345,plain,
% 0.20/0.40 (~a26),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[213, 344])).
% 0.20/0.40 tff(346,plain,
% 0.20/0.40 (~a22),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[315, 335])).
% 0.20/0.40 tff(347,plain,
% 0.20/0.40 (~c2),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[220, 346, 345])).
% 0.20/0.40 tff(348,plain,
% 0.20/0.40 (~conjline19),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[227, 347, 1])).
% 0.20/0.40 tff(349,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[110, 348, 339])).
% 0.20/0.40 tff(350,plain,(c1), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(351,plain,
% 0.20/0.40 ((((~a15) | (~c1)) | (~a11)) <=> ((~a11) | (~a15) | (~c1))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(352,plain,
% 0.20/0.40 (((~c1) | (~a15)) <=> ((~a15) | (~c1))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(353,plain,
% 0.20/0.40 ((((~c1) | (~a15)) | (~a11)) <=> (((~a15) | (~c1)) | (~a11))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[352])).
% 0.20/0.40 tff(354,plain,
% 0.20/0.40 ((((~c1) | (~a15)) | (~a11)) <=> ((~a11) | (~a15) | (~c1))),
% 0.20/0.40 inference(transitivity,[status(thm)],[353, 351])).
% 0.20/0.40 tff(355,axiom,(((~c1) | (~a15)) | (~a11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_9C')).
% 0.20/0.40 tff(356,plain,
% 0.20/0.40 ((~a11) | (~a15) | (~c1)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[355, 354])).
% 0.20/0.40 tff(357,plain,
% 0.20/0.40 ((~a15) | (~c1)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[356, 170])).
% 0.20/0.40 tff(358,plain,
% 0.20/0.40 (~a15),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[357, 350])).
% 0.20/0.40 tff(359,plain,
% 0.20/0.40 (a14),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[131, 358])).
% 0.20/0.40 tff(360,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[241, 184, 2, 359])).
% 0.20/0.40 tff(361,plain,(a21), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(362,axiom,(a15 | cI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_5B')).
% 0.20/0.40 tff(363,plain,
% 0.20/0.40 (cI),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[362, 358])).
% 0.20/0.40 tff(364,plain,
% 0.20/0.40 ((a17 | a15) <=> (a15 | a17)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(365,axiom,(a17 | a15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_7A')).
% 0.20/0.40 tff(366,plain,
% 0.20/0.40 (a15 | a17),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[365, 364])).
% 0.20/0.40 tff(367,plain,
% 0.20/0.40 (a17),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[366, 358])).
% 0.20/0.40 tff(368,plain,
% 0.20/0.40 ((a16 | a15) <=> (a15 | a16)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(369,axiom,(a16 | a15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_6B')).
% 0.20/0.40 tff(370,plain,
% 0.20/0.40 (a15 | a16),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[369, 368])).
% 0.20/0.40 tff(371,plain,
% 0.20/0.40 (a16),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[370, 358])).
% 0.20/0.40 tff(372,plain,
% 0.20/0.40 (~s1),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[101, 371, 367])).
% 0.20/0.40 tff(373,plain,
% 0.20/0.40 (((~cI) | (~a21) | (~s2)) <=> ((~cI) | (~a21) | (~s2))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(374,plain,
% 0.20/0.40 ((((~cI) | (~s2)) | (~a21)) <=> ((~cI) | (~a21) | (~s2))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(375,plain,
% 0.20/0.40 (((~s2) | (~cI)) <=> ((~cI) | (~s2))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(376,plain,
% 0.20/0.40 ((((~s2) | (~cI)) | (~a21)) <=> (((~cI) | (~s2)) | (~a21))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[375])).
% 0.20/0.40 tff(377,plain,
% 0.20/0.40 ((((~s2) | (~cI)) | (~a21)) <=> ((~cI) | (~a21) | (~s2))),
% 0.20/0.40 inference(transitivity,[status(thm)],[376, 374])).
% 0.20/0.40 tff(378,axiom,(((~s2) | (~cI)) | (~a21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_16D')).
% 0.20/0.40 tff(379,plain,
% 0.20/0.40 ((~cI) | (~a21) | (~s2)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[378, 377])).
% 0.20/0.40 tff(380,plain,
% 0.20/0.40 ((~cI) | (~a21) | (~s2)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[379, 373])).
% 0.20/0.40 tff(381,plain,
% 0.20/0.40 ((~cI) | (~a21) | (~s2)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[380, 373])).
% 0.20/0.40 tff(382,plain,
% 0.20/0.40 ((~cI) | (~a21) | (~s2)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[381, 373])).
% 0.20/0.40 tff(383,plain,
% 0.20/0.40 (~s2),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[382, 361, 363])).
% 0.20/0.40 tff(384,plain,
% 0.20/0.40 (~conjline18),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[108, 383, 372])).
% 0.20/0.40 tff(385,plain,
% 0.20/0.40 (conjline19),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[110, 384])).
% 0.20/0.40 tff(386,plain,
% 0.20/0.40 (~c2),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[117, 385, 350])).
% 0.20/0.40 tff(387,plain,
% 0.20/0.40 (~a22),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[166, 386])).
% 0.20/0.40 tff(388,plain,
% 0.20/0.40 (~a23),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[164, 387, 363])).
% 0.20/0.40 tff(389,plain,
% 0.20/0.40 (~a),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[156, 388])).
% 0.20/0.40 tff(390,axiom,(a23 | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_12B')).
% 0.20/0.40 tff(391,plain,
% 0.20/0.40 (~b),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[390, 388])).
% 0.20/0.40 tff(392,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[263, 391, 389, 361])).
% 0.20/0.40 % SZS output end Proof
% 0.20/0.40 % E exiting
%------------------------------------------------------------------------------