%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN001-1.005 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:37:55 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN001-1.005 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 12:30:05 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.37 % SZS status Unsatisfiable
% 0.19/0.37 % SZS output start Proof
% 0.19/0.37 tff(p_5_type, type, (
% 0.19/0.37 p_5: $o)).
% 0.19/0.37 tff(p_3_type, type, (
% 0.19/0.37 p_3: $o)).
% 0.19/0.37 tff(p_4_type, type, (
% 0.19/0.37 p_4: $o)).
% 0.19/0.37 tff(p_2_type, type, (
% 0.19/0.37 p_2: $o)).
% 0.19/0.37 tff(p_1_type, type, (
% 0.19/0.37 p_1: $o)).
% 0.19/0.37 tff(1,assumption,(~p_5), introduced(assumption)).
% 0.19/0.37 tff(2,assumption,(~p_3), introduced(assumption)).
% 0.19/0.37 tff(3,assumption,(~p_4), introduced(assumption)).
% 0.19/0.37 tff(4,assumption,(~p_1), introduced(assumption)).
% 0.19/0.37 tff(5,assumption,(~p_2), introduced(assumption)).
% 0.19/0.37 tff(6,plain,
% 0.19/0.37 (((p_1 | p_2 | p_3 | p_4) | p_5) <=> (p_1 | p_2 | p_3 | p_4 | p_5)),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(7,plain,
% 0.19/0.37 (((p_1 | p_2 | p_3) | p_4) <=> (p_1 | p_2 | p_3 | p_4)),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(8,plain,
% 0.19/0.37 (((p_1 | p_2) | p_3) <=> (p_1 | p_2 | p_3)),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(9,plain,
% 0.19/0.37 ((((p_1 | p_2) | p_3) | p_4) <=> ((p_1 | p_2 | p_3) | p_4)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[8])).
% 0.19/0.37 tff(10,plain,
% 0.19/0.37 ((((p_1 | p_2) | p_3) | p_4) <=> (p_1 | p_2 | p_3 | p_4)),
% 0.19/0.37 inference(transitivity,[status(thm)],[9, 7])).
% 0.19/0.37 tff(11,plain,
% 0.19/0.37 (((((p_1 | p_2) | p_3) | p_4) | p_5) <=> ((p_1 | p_2 | p_3 | p_4) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[10])).
% 0.19/0.37 tff(12,plain,
% 0.19/0.37 (((((p_1 | p_2) | p_3) | p_4) | p_5) <=> (p_1 | p_2 | p_3 | p_4 | p_5)),
% 0.19/0.37 inference(transitivity,[status(thm)],[11, 6])).
% 0.19/0.37 tff(13,axiom,((((p_1 | p_2) | p_3) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ppppp')).
% 0.19/0.37 tff(14,plain,
% 0.19/0.37 (p_1 | p_2 | p_3 | p_4 | p_5),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.37 tff(15,plain,
% 0.19/0.37 (p_5),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[14, 5, 4, 2, 3])).
% 0.19/0.37 tff(16,plain,
% 0.19/0.37 (((p_1 | p_2 | p_3 | p_4) | (~p_5)) <=> (p_1 | p_2 | p_3 | p_4 | (~p_5))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(17,plain,
% 0.19/0.37 (((((p_1 | p_2) | p_3) | p_4) | (~p_5)) <=> ((p_1 | p_2 | p_3 | p_4) | (~p_5))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[10])).
% 0.19/0.37 tff(18,plain,
% 0.19/0.37 (((((p_1 | p_2) | p_3) | p_4) | (~p_5)) <=> (p_1 | p_2 | p_3 | p_4 | (~p_5))),
% 0.19/0.37 inference(transitivity,[status(thm)],[17, 16])).
% 0.19/0.37 tff(19,axiom,((((p_1 | p_2) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ppppn')).
% 0.19/0.37 tff(20,plain,
% 0.19/0.37 (p_1 | p_2 | p_3 | p_4 | (~p_5)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.37 tff(21,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[20, 15, 5, 4, 2, 3])).
% 0.19/0.37 tff(22,plain,(p_2 | p_1 | p_3 | p_4), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(23,plain,
% 0.19/0.37 (p_2),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[22, 3, 2, 4])).
% 0.19/0.37 tff(24,plain,
% 0.19/0.37 (((p_1 | p_3 | p_4 | (~p_2)) | p_5) <=> (p_1 | p_3 | p_4 | p_5 | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(25,plain,
% 0.19/0.37 (((p_1 | p_3 | (~p_2)) | p_4) <=> (p_1 | p_3 | p_4 | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(26,plain,
% 0.19/0.37 (((p_1 | (~p_2)) | p_3) <=> (p_1 | p_3 | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(27,plain,
% 0.19/0.37 ((((p_1 | (~p_2)) | p_3) | p_4) <=> ((p_1 | p_3 | (~p_2)) | p_4)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[26])).
% 0.19/0.37 tff(28,plain,
% 0.19/0.37 ((((p_1 | (~p_2)) | p_3) | p_4) <=> (p_1 | p_3 | p_4 | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[27, 25])).
% 0.19/0.37 tff(29,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | p_3) | p_4) | p_5) <=> ((p_1 | p_3 | p_4 | (~p_2)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[28])).
% 0.19/0.37 tff(30,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | p_3) | p_4) | p_5) <=> (p_1 | p_3 | p_4 | p_5 | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[29, 24])).
% 0.19/0.37 tff(31,axiom,((((p_1 | (~p_2)) | p_3) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnppp')).
% 0.19/0.37 tff(32,plain,
% 0.19/0.37 (p_1 | p_3 | p_4 | p_5 | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.37 tff(33,plain,
% 0.19/0.37 (p_5),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[32, 23, 4, 2, 3])).
% 0.19/0.37 tff(34,plain,
% 0.19/0.37 ((p_1 | p_3 | p_4 | (~p_5) | (~p_2)) <=> (p_1 | p_3 | p_4 | (~p_5) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(35,plain,
% 0.19/0.37 (((p_1 | p_3 | p_4 | (~p_2)) | (~p_5)) <=> (p_1 | p_3 | p_4 | (~p_5) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(36,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | p_3) | p_4) | (~p_5)) <=> ((p_1 | p_3 | p_4 | (~p_2)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[28])).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | p_3) | p_4) | (~p_5)) <=> (p_1 | p_3 | p_4 | (~p_5) | (~p_2))),
% 0.19/0.38 inference(transitivity,[status(thm)],[36, 35])).
% 0.19/0.38 tff(38,axiom,((((p_1 | (~p_2)) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnppn')).
% 0.19/0.38 tff(39,plain,
% 0.19/0.38 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.38 tff(40,plain,
% 0.19/0.38 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[39, 34])).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[40, 34])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.19/0.38 tff(43,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[42, 33, 23, 4, 2, 3])).
% 0.19/0.38 tff(44,plain,(p_4 | p_1 | p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(45,plain,
% 0.19/0.38 (p_4),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[44, 2, 4])).
% 0.19/0.38 tff(46,plain,
% 0.19/0.38 (((p_1 | p_2 | p_3 | (~p_4)) | p_5) <=> (p_1 | p_2 | p_3 | p_5 | (~p_4))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(47,plain,
% 0.19/0.38 (((p_1 | p_2 | p_3) | (~p_4)) <=> (p_1 | p_2 | p_3 | (~p_4))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(48,plain,
% 0.19/0.38 ((((p_1 | p_2) | p_3) | (~p_4)) <=> ((p_1 | p_2 | p_3) | (~p_4))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[8])).
% 0.19/0.38 tff(49,plain,
% 0.19/0.38 ((((p_1 | p_2) | p_3) | (~p_4)) <=> (p_1 | p_2 | p_3 | (~p_4))),
% 0.19/0.38 inference(transitivity,[status(thm)],[48, 47])).
% 0.19/0.38 tff(50,plain,
% 0.19/0.38 (((((p_1 | p_2) | p_3) | (~p_4)) | p_5) <=> ((p_1 | p_2 | p_3 | (~p_4)) | p_5)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[49])).
% 0.19/0.38 tff(51,plain,
% 0.19/0.38 (((((p_1 | p_2) | p_3) | (~p_4)) | p_5) <=> (p_1 | p_2 | p_3 | p_5 | (~p_4))),
% 0.19/0.38 inference(transitivity,[status(thm)],[50, 46])).
% 0.19/0.38 tff(52,axiom,((((p_1 | p_2) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pppnp')).
% 0.19/0.38 tff(53,plain,
% 0.19/0.38 (p_1 | p_2 | p_3 | p_5 | (~p_4)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.19/0.38 tff(54,plain,
% 0.19/0.38 (p_5),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[53, 5, 4, 2, 45])).
% 0.19/0.38 tff(55,plain,
% 0.19/0.38 ((p_1 | p_2 | p_3 | (~p_5) | (~p_4)) <=> (p_1 | p_2 | p_3 | (~p_5) | (~p_4))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(56,plain,
% 0.19/0.38 (((p_1 | p_2 | p_3 | (~p_4)) | (~p_5)) <=> (p_1 | p_2 | p_3 | (~p_5) | (~p_4))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(57,plain,
% 0.19/0.38 (((((p_1 | p_2) | p_3) | (~p_4)) | (~p_5)) <=> ((p_1 | p_2 | p_3 | (~p_4)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[49])).
% 0.19/0.38 tff(58,plain,
% 0.19/0.38 (((((p_1 | p_2) | p_3) | (~p_4)) | (~p_5)) <=> (p_1 | p_2 | p_3 | (~p_5) | (~p_4))),
% 0.19/0.38 inference(transitivity,[status(thm)],[57, 56])).
% 0.19/0.38 tff(59,axiom,((((p_1 | p_2) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pppnn')).
% 0.19/0.38 tff(60,plain,
% 0.19/0.38 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.38 tff(61,plain,
% 0.19/0.38 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[60, 55])).
% 0.19/0.38 tff(62,plain,
% 0.19/0.38 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[61, 55])).
% 0.19/0.38 tff(63,plain,
% 0.19/0.38 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[62, 55])).
% 0.19/0.38 tff(64,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[63, 54, 5, 4, 2, 45])).
% 0.19/0.38 tff(65,plain,(p_2 | p_1 | p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(66,plain,
% 0.19/0.38 (p_2),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[65, 2, 4])).
% 0.19/0.38 tff(67,plain,
% 0.19/0.38 ((p_1 | p_3 | p_5 | (~p_4) | (~p_2)) <=> (p_1 | p_3 | p_5 | (~p_4) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(68,plain,
% 0.19/0.38 (((p_1 | p_3 | (~p_4) | (~p_2)) | p_5) <=> (p_1 | p_3 | p_5 | (~p_4) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(69,plain,
% 0.19/0.38 (((p_1 | p_3 | (~p_2)) | (~p_4)) <=> (p_1 | p_3 | (~p_4) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(70,plain,
% 0.19/0.38 ((((p_1 | (~p_2)) | p_3) | (~p_4)) <=> ((p_1 | p_3 | (~p_2)) | (~p_4))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[26])).
% 0.19/0.38 tff(71,plain,
% 0.19/0.38 ((((p_1 | (~p_2)) | p_3) | (~p_4)) <=> (p_1 | p_3 | (~p_4) | (~p_2))),
% 0.19/0.38 inference(transitivity,[status(thm)],[70, 69])).
% 0.19/0.38 tff(72,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | p_5) <=> ((p_1 | p_3 | (~p_4) | (~p_2)) | p_5)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[71])).
% 0.19/0.38 tff(73,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | p_5) <=> (p_1 | p_3 | p_5 | (~p_4) | (~p_2))),
% 0.19/0.38 inference(transitivity,[status(thm)],[72, 68])).
% 0.19/0.38 tff(74,axiom,((((p_1 | (~p_2)) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnpnp')).
% 0.19/0.38 tff(75,plain,
% 0.19/0.38 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.19/0.38 tff(76,plain,
% 0.19/0.38 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[75, 67])).
% 0.19/0.38 tff(77,plain,
% 0.19/0.38 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[76, 67])).
% 0.19/0.38 tff(78,plain,
% 0.19/0.38 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[77, 67])).
% 0.19/0.38 tff(79,plain,
% 0.19/0.38 (p_5),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[78, 66, 4, 2, 45])).
% 0.19/0.38 tff(80,plain,
% 0.19/0.38 ((p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)) <=> (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(81,plain,
% 0.19/0.38 (((p_1 | p_3 | (~p_4) | (~p_2)) | (~p_5)) <=> (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(82,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> ((p_1 | p_3 | (~p_4) | (~p_2)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[71])).
% 0.19/0.38 tff(83,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2))),
% 0.19/0.38 inference(transitivity,[status(thm)],[82, 81])).
% 0.19/0.38 tff(84,axiom,((((p_1 | (~p_2)) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnpnn')).
% 0.19/0.38 tff(85,plain,
% 0.19/0.38 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.19/0.38 tff(86,plain,
% 0.19/0.38 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[85, 80])).
% 0.19/0.38 tff(87,plain,
% 0.19/0.38 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[86, 80])).
% 0.19/0.38 tff(88,plain,
% 0.19/0.38 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.19/0.38 tff(89,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[88, 79, 66, 4, 2, 45])).
% 0.19/0.38 tff(90,plain,(p_3 | p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(91,plain,
% 0.19/0.38 (p_3),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[90, 4])).
% 0.19/0.38 tff(92,plain,
% 0.19/0.38 (((p_1 | p_2 | p_4 | (~p_3)) | p_5) <=> (p_1 | p_2 | p_4 | p_5 | (~p_3))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(93,plain,
% 0.19/0.38 (((p_1 | p_2 | (~p_3)) | p_4) <=> (p_1 | p_2 | p_4 | (~p_3))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(94,plain,
% 0.19/0.38 (((p_1 | p_2) | (~p_3)) <=> (p_1 | p_2 | (~p_3))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(95,plain,
% 0.19/0.38 ((((p_1 | p_2) | (~p_3)) | p_4) <=> ((p_1 | p_2 | (~p_3)) | p_4)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[94])).
% 0.19/0.38 tff(96,plain,
% 0.19/0.38 ((((p_1 | p_2) | (~p_3)) | p_4) <=> (p_1 | p_2 | p_4 | (~p_3))),
% 0.19/0.38 inference(transitivity,[status(thm)],[95, 93])).
% 0.19/0.38 tff(97,plain,
% 0.19/0.38 (((((p_1 | p_2) | (~p_3)) | p_4) | p_5) <=> ((p_1 | p_2 | p_4 | (~p_3)) | p_5)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[96])).
% 0.19/0.38 tff(98,plain,
% 0.19/0.38 (((((p_1 | p_2) | (~p_3)) | p_4) | p_5) <=> (p_1 | p_2 | p_4 | p_5 | (~p_3))),
% 0.19/0.38 inference(transitivity,[status(thm)],[97, 92])).
% 0.19/0.38 tff(99,axiom,((((p_1 | p_2) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ppnpp')).
% 0.19/0.38 tff(100,plain,
% 0.19/0.38 (p_1 | p_2 | p_4 | p_5 | (~p_3)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.19/0.38 tff(101,plain,
% 0.19/0.38 (p_5),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[100, 5, 4, 91, 3])).
% 0.19/0.38 tff(102,plain,
% 0.19/0.38 ((p_1 | p_2 | p_4 | (~p_5) | (~p_3)) <=> (p_1 | p_2 | p_4 | (~p_5) | (~p_3))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(103,plain,
% 0.19/0.38 (((p_1 | p_2 | p_4 | (~p_3)) | (~p_5)) <=> (p_1 | p_2 | p_4 | (~p_5) | (~p_3))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(104,plain,
% 0.19/0.38 (((((p_1 | p_2) | (~p_3)) | p_4) | (~p_5)) <=> ((p_1 | p_2 | p_4 | (~p_3)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[96])).
% 0.19/0.38 tff(105,plain,
% 0.19/0.38 (((((p_1 | p_2) | (~p_3)) | p_4) | (~p_5)) <=> (p_1 | p_2 | p_4 | (~p_5) | (~p_3))),
% 0.19/0.38 inference(transitivity,[status(thm)],[104, 103])).
% 0.19/0.38 tff(106,axiom,((((p_1 | p_2) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ppnpn')).
% 0.19/0.38 tff(107,plain,
% 0.19/0.38 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.19/0.38 tff(108,plain,
% 0.19/0.38 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[107, 102])).
% 0.19/0.38 tff(109,plain,
% 0.19/0.38 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[108, 102])).
% 0.19/0.38 tff(110,plain,
% 0.19/0.38 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[109, 102])).
% 0.19/0.38 tff(111,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[110, 101, 5, 4, 91, 3])).
% 0.19/0.38 tff(112,plain,(p_2 | p_1 | p_4), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(113,plain,
% 0.19/0.38 (p_2),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[112, 3, 4])).
% 0.19/0.38 tff(114,plain,
% 0.19/0.38 ((p_1 | p_4 | p_5 | (~p_3) | (~p_2)) <=> (p_1 | p_4 | p_5 | (~p_3) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(115,plain,
% 0.19/0.38 (((p_1 | p_4 | (~p_3) | (~p_2)) | p_5) <=> (p_1 | p_4 | p_5 | (~p_3) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(116,plain,
% 0.19/0.38 (((p_1 | (~p_3) | (~p_2)) | p_4) <=> (p_1 | p_4 | (~p_3) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(117,plain,
% 0.19/0.38 (((p_1 | (~p_2)) | (~p_3)) <=> (p_1 | (~p_3) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(118,plain,
% 0.19/0.38 ((((p_1 | (~p_2)) | (~p_3)) | p_4) <=> ((p_1 | (~p_3) | (~p_2)) | p_4)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[117])).
% 0.19/0.38 tff(119,plain,
% 0.19/0.38 ((((p_1 | (~p_2)) | (~p_3)) | p_4) <=> (p_1 | p_4 | (~p_3) | (~p_2))),
% 0.19/0.38 inference(transitivity,[status(thm)],[118, 116])).
% 0.19/0.38 tff(120,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | p_5) <=> ((p_1 | p_4 | (~p_3) | (~p_2)) | p_5)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[119])).
% 0.19/0.38 tff(121,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | p_5) <=> (p_1 | p_4 | p_5 | (~p_3) | (~p_2))),
% 0.19/0.38 inference(transitivity,[status(thm)],[120, 115])).
% 0.19/0.38 tff(122,axiom,((((p_1 | (~p_2)) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnnpp')).
% 0.19/0.38 tff(123,plain,
% 0.19/0.38 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.19/0.38 tff(124,plain,
% 0.19/0.38 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[123, 114])).
% 0.19/0.38 tff(125,plain,
% 0.19/0.38 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[124, 114])).
% 0.19/0.38 tff(126,plain,
% 0.19/0.38 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[125, 114])).
% 0.19/0.38 tff(127,plain,
% 0.19/0.38 (p_5),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[126, 113, 4, 91, 3])).
% 0.19/0.38 tff(128,plain,
% 0.19/0.38 ((p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)) <=> (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(129,plain,
% 0.19/0.38 (((p_1 | p_4 | (~p_3) | (~p_2)) | (~p_5)) <=> (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(130,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> ((p_1 | p_4 | (~p_3) | (~p_2)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[119])).
% 0.19/0.38 tff(131,plain,
% 0.19/0.38 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2))),
% 0.19/0.38 inference(transitivity,[status(thm)],[130, 129])).
% 0.19/0.38 tff(132,axiom,((((p_1 | (~p_2)) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnnpn')).
% 0.19/0.38 tff(133,plain,
% 0.19/0.38 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.19/0.38 tff(134,plain,
% 0.19/0.38 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[133, 128])).
% 0.19/0.38 tff(135,plain,
% 0.19/0.38 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[134, 128])).
% 0.19/0.39 tff(136,plain,
% 0.19/0.39 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[135, 128])).
% 0.19/0.39 tff(137,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[136, 127, 113, 4, 91, 3])).
% 0.19/0.39 tff(138,plain,(p_4 | p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(139,plain,
% 0.19/0.39 (p_4),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[138, 4])).
% 0.19/0.39 tff(140,plain,
% 0.19/0.39 ((p_1 | p_2 | p_5 | (~p_4) | (~p_3)) <=> (p_1 | p_2 | p_5 | (~p_4) | (~p_3))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(141,plain,
% 0.19/0.39 (((p_1 | p_2 | (~p_4) | (~p_3)) | p_5) <=> (p_1 | p_2 | p_5 | (~p_4) | (~p_3))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(142,plain,
% 0.19/0.39 (((p_1 | p_2 | (~p_3)) | (~p_4)) <=> (p_1 | p_2 | (~p_4) | (~p_3))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(143,plain,
% 0.19/0.39 ((((p_1 | p_2) | (~p_3)) | (~p_4)) <=> ((p_1 | p_2 | (~p_3)) | (~p_4))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[94])).
% 0.19/0.39 tff(144,plain,
% 0.19/0.39 ((((p_1 | p_2) | (~p_3)) | (~p_4)) <=> (p_1 | p_2 | (~p_4) | (~p_3))),
% 0.19/0.39 inference(transitivity,[status(thm)],[143, 142])).
% 0.19/0.39 tff(145,plain,
% 0.19/0.39 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | p_5) <=> ((p_1 | p_2 | (~p_4) | (~p_3)) | p_5)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[144])).
% 0.19/0.39 tff(146,plain,
% 0.19/0.39 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | p_5) <=> (p_1 | p_2 | p_5 | (~p_4) | (~p_3))),
% 0.19/0.39 inference(transitivity,[status(thm)],[145, 141])).
% 0.19/0.39 tff(147,axiom,((((p_1 | p_2) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ppnnp')).
% 0.19/0.39 tff(148,plain,
% 0.19/0.39 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.19/0.39 tff(149,plain,
% 0.19/0.39 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[148, 140])).
% 0.19/0.39 tff(150,plain,
% 0.19/0.39 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[149, 140])).
% 0.19/0.39 tff(151,plain,
% 0.19/0.39 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[150, 140])).
% 0.19/0.39 tff(152,plain,
% 0.19/0.39 (p_5),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[151, 5, 4, 91, 139])).
% 0.19/0.39 tff(153,plain,
% 0.19/0.39 ((p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)) <=> (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(154,plain,
% 0.19/0.39 (((p_1 | p_2 | (~p_4) | (~p_3)) | (~p_5)) <=> (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(155,plain,
% 0.19/0.39 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((p_1 | p_2 | (~p_4) | (~p_3)) | (~p_5))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[144])).
% 0.19/0.39 tff(156,plain,
% 0.19/0.39 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3))),
% 0.19/0.39 inference(transitivity,[status(thm)],[155, 154])).
% 0.19/0.39 tff(157,axiom,((((p_1 | p_2) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ppnnn')).
% 0.19/0.39 tff(158,plain,
% 0.19/0.39 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.19/0.39 tff(159,plain,
% 0.19/0.39 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[158, 153])).
% 0.19/0.39 tff(160,plain,
% 0.19/0.39 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[159, 153])).
% 0.19/0.39 tff(161,plain,
% 0.19/0.39 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[160, 153])).
% 0.19/0.39 tff(162,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[161, 152, 5, 4, 91, 139])).
% 0.19/0.39 tff(163,plain,(p_2 | p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(164,plain,
% 0.19/0.39 (p_2),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[163, 4])).
% 0.19/0.39 tff(165,plain,
% 0.19/0.39 ((p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)) <=> (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(166,plain,
% 0.19/0.39 (((p_1 | (~p_4) | (~p_3) | (~p_2)) | p_5) <=> (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(167,plain,
% 0.19/0.39 (((p_1 | (~p_3) | (~p_2)) | (~p_4)) <=> (p_1 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(168,plain,
% 0.19/0.39 ((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) <=> ((p_1 | (~p_3) | (~p_2)) | (~p_4))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[117])).
% 0.19/0.39 tff(169,plain,
% 0.19/0.39 ((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) <=> (p_1 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(transitivity,[status(thm)],[168, 167])).
% 0.19/0.39 tff(170,plain,
% 0.19/0.39 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> ((p_1 | (~p_4) | (~p_3) | (~p_2)) | p_5)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[169])).
% 0.19/0.39 tff(171,plain,
% 0.19/0.39 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(transitivity,[status(thm)],[170, 166])).
% 0.19/0.39 tff(172,axiom,((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnnnp')).
% 0.19/0.39 tff(173,plain,
% 0.19/0.39 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.19/0.39 tff(174,plain,
% 0.19/0.39 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[173, 165])).
% 0.19/0.39 tff(175,plain,
% 0.19/0.39 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[174, 165])).
% 0.19/0.39 tff(176,plain,
% 0.19/0.39 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[175, 165])).
% 0.19/0.39 tff(177,plain,
% 0.19/0.39 (p_5),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[176, 164, 4, 91, 139])).
% 0.19/0.39 tff(178,plain,
% 0.19/0.39 ((p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)) <=> (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(179,plain,
% 0.19/0.39 (((p_1 | (~p_4) | (~p_3) | (~p_2)) | (~p_5)) <=> (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(180,plain,
% 0.19/0.39 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((p_1 | (~p_4) | (~p_3) | (~p_2)) | (~p_5))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[169])).
% 0.19/0.39 tff(181,plain,
% 0.19/0.39 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.39 inference(transitivity,[status(thm)],[180, 179])).
% 0.19/0.39 tff(182,axiom,((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pnnnn')).
% 0.19/0.39 tff(183,plain,
% 0.19/0.39 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.19/0.39 tff(184,plain,
% 0.19/0.39 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[183, 178])).
% 0.19/0.39 tff(185,plain,
% 0.19/0.39 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[184, 178])).
% 0.19/0.39 tff(186,plain,
% 0.19/0.39 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[185, 178])).
% 0.19/0.39 tff(187,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[186, 177, 164, 4, 91, 139])).
% 0.19/0.39 tff(188,plain,(p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(189,plain,
% 0.19/0.39 (((p_2 | p_3 | p_4 | (~p_1)) | p_5) <=> (p_2 | p_3 | p_4 | p_5 | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(190,plain,
% 0.19/0.39 (((p_2 | p_3 | (~p_1)) | p_4) <=> (p_2 | p_3 | p_4 | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(191,plain,
% 0.19/0.39 (((p_2 | (~p_1)) | p_3) <=> (p_2 | p_3 | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(192,plain,
% 0.19/0.39 (((~p_1) | p_2) <=> (p_2 | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(193,plain,
% 0.19/0.39 ((((~p_1) | p_2) | p_3) <=> ((p_2 | (~p_1)) | p_3)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[192])).
% 0.19/0.39 tff(194,plain,
% 0.19/0.39 ((((~p_1) | p_2) | p_3) <=> (p_2 | p_3 | (~p_1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[193, 191])).
% 0.19/0.39 tff(195,plain,
% 0.19/0.39 (((((~p_1) | p_2) | p_3) | p_4) <=> ((p_2 | p_3 | (~p_1)) | p_4)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[194])).
% 0.19/0.39 tff(196,plain,
% 0.19/0.39 (((((~p_1) | p_2) | p_3) | p_4) <=> (p_2 | p_3 | p_4 | (~p_1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[195, 190])).
% 0.19/0.39 tff(197,plain,
% 0.19/0.39 ((((((~p_1) | p_2) | p_3) | p_4) | p_5) <=> ((p_2 | p_3 | p_4 | (~p_1)) | p_5)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[196])).
% 0.19/0.39 tff(198,plain,
% 0.19/0.39 ((((((~p_1) | p_2) | p_3) | p_4) | p_5) <=> (p_2 | p_3 | p_4 | p_5 | (~p_1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[197, 189])).
% 0.19/0.39 tff(199,axiom,(((((~p_1) | p_2) | p_3) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','npppp')).
% 0.19/0.39 tff(200,plain,
% 0.19/0.39 (p_2 | p_3 | p_4 | p_5 | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.19/0.39 tff(201,plain,
% 0.19/0.39 (p_2 | p_3 | p_4 | p_5),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[200, 188])).
% 0.19/0.39 tff(202,plain,
% 0.19/0.39 (p_2),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[201, 3, 2, 1])).
% 0.19/0.39 tff(203,plain,
% 0.19/0.39 ((p_3 | p_4 | p_5 | (~p_2) | (~p_1)) <=> (p_3 | p_4 | p_5 | (~p_2) | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(204,plain,
% 0.19/0.39 (((p_3 | p_4 | (~p_2) | (~p_1)) | p_5) <=> (p_3 | p_4 | p_5 | (~p_2) | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(205,plain,
% 0.19/0.39 (((p_3 | (~p_2) | (~p_1)) | p_4) <=> (p_3 | p_4 | (~p_2) | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(206,plain,
% 0.19/0.39 ((((~p_1) | (~p_2)) | p_3) <=> (p_3 | (~p_2) | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(207,plain,
% 0.19/0.39 (((((~p_1) | (~p_2)) | p_3) | p_4) <=> ((p_3 | (~p_2) | (~p_1)) | p_4)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[206])).
% 0.19/0.39 tff(208,plain,
% 0.19/0.39 (((((~p_1) | (~p_2)) | p_3) | p_4) <=> (p_3 | p_4 | (~p_2) | (~p_1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[207, 205])).
% 0.19/0.39 tff(209,plain,
% 0.19/0.39 ((((((~p_1) | (~p_2)) | p_3) | p_4) | p_5) <=> ((p_3 | p_4 | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[208])).
% 0.19/0.39 tff(210,plain,
% 0.19/0.39 ((((((~p_1) | (~p_2)) | p_3) | p_4) | p_5) <=> (p_3 | p_4 | p_5 | (~p_2) | (~p_1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[209, 204])).
% 0.19/0.39 tff(211,axiom,(((((~p_1) | (~p_2)) | p_3) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnppp')).
% 0.19/0.39 tff(212,plain,
% 0.19/0.39 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.19/0.39 tff(213,plain,
% 0.19/0.39 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[212, 203])).
% 0.19/0.39 tff(214,plain,
% 0.19/0.39 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[213, 203])).
% 0.19/0.39 tff(215,plain,
% 0.19/0.39 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[214, 203])).
% 0.19/0.39 tff(216,plain,
% 0.19/0.39 (p_3 | p_4 | p_5 | (~p_2)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[215, 188])).
% 0.19/0.39 tff(217,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[216, 202, 3, 2, 1])).
% 0.19/0.39 tff(218,plain,(p_4 | p_3 | p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(219,plain,
% 0.19/0.39 (p_4),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[218, 2, 1])).
% 0.19/0.39 tff(220,plain,
% 0.19/0.39 ((p_2 | p_3 | p_5 | (~p_4) | (~p_1)) <=> (p_2 | p_3 | p_5 | (~p_4) | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(221,plain,
% 0.19/0.39 (((p_2 | p_3 | (~p_4) | (~p_1)) | p_5) <=> (p_2 | p_3 | p_5 | (~p_4) | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(222,plain,
% 0.19/0.39 (((p_2 | p_3 | (~p_1)) | (~p_4)) <=> (p_2 | p_3 | (~p_4) | (~p_1))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(223,plain,
% 0.19/0.39 (((((~p_1) | p_2) | p_3) | (~p_4)) <=> ((p_2 | p_3 | (~p_1)) | (~p_4))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[194])).
% 0.19/0.39 tff(224,plain,
% 0.19/0.39 (((((~p_1) | p_2) | p_3) | (~p_4)) <=> (p_2 | p_3 | (~p_4) | (~p_1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[223, 222])).
% 0.19/0.39 tff(225,plain,
% 0.19/0.39 ((((((~p_1) | p_2) | p_3) | (~p_4)) | p_5) <=> ((p_2 | p_3 | (~p_4) | (~p_1)) | p_5)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[224])).
% 0.19/0.39 tff(226,plain,
% 0.19/0.39 ((((((~p_1) | p_2) | p_3) | (~p_4)) | p_5) <=> (p_2 | p_3 | p_5 | (~p_4) | (~p_1))),
% 0.19/0.39 inference(transitivity,[status(thm)],[225, 221])).
% 0.19/0.39 tff(227,axiom,(((((~p_1) | p_2) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nppnp')).
% 0.19/0.39 tff(228,plain,
% 0.19/0.39 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.19/0.39 tff(229,plain,
% 0.19/0.39 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[228, 220])).
% 0.19/0.39 tff(230,plain,
% 0.19/0.39 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[229, 220])).
% 0.19/0.39 tff(231,plain,
% 0.19/0.39 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[230, 220])).
% 0.19/0.39 tff(232,plain,
% 0.19/0.39 (p_2 | p_3 | p_5 | (~p_4)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[231, 188])).
% 0.19/0.39 tff(233,plain,
% 0.19/0.39 (p_2),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[232, 219, 2, 1])).
% 0.19/0.39 tff(234,plain,
% 0.19/0.39 ((p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)) <=> (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(235,plain,
% 0.19/0.40 (((p_3 | (~p_4) | (~p_2) | (~p_1)) | p_5) <=> (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(236,plain,
% 0.19/0.40 (((p_3 | (~p_2) | (~p_1)) | (~p_4)) <=> (p_3 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(237,plain,
% 0.19/0.40 (((((~p_1) | (~p_2)) | p_3) | (~p_4)) <=> ((p_3 | (~p_2) | (~p_1)) | (~p_4))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[206])).
% 0.19/0.40 tff(238,plain,
% 0.19/0.40 (((((~p_1) | (~p_2)) | p_3) | (~p_4)) <=> (p_3 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[237, 236])).
% 0.19/0.40 tff(239,plain,
% 0.19/0.40 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | p_5) <=> ((p_3 | (~p_4) | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[238])).
% 0.19/0.40 tff(240,plain,
% 0.19/0.40 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | p_5) <=> (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[239, 235])).
% 0.19/0.40 tff(241,axiom,(((((~p_1) | (~p_2)) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnpnp')).
% 0.19/0.40 tff(242,plain,
% 0.19/0.40 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.19/0.40 tff(243,plain,
% 0.19/0.40 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[242, 234])).
% 0.19/0.40 tff(244,plain,
% 0.19/0.40 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[243, 234])).
% 0.19/0.40 tff(245,plain,
% 0.19/0.40 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[244, 234])).
% 0.19/0.40 tff(246,plain,
% 0.19/0.40 (p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[245, 188])).
% 0.19/0.40 tff(247,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[246, 233, 219, 2, 1])).
% 0.19/0.40 tff(248,plain,(p_3 | p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(249,plain,
% 0.19/0.40 (p_3),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[248, 1])).
% 0.19/0.40 tff(250,plain,
% 0.19/0.40 ((p_2 | p_4 | p_5 | (~p_3) | (~p_1)) <=> (p_2 | p_4 | p_5 | (~p_3) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(251,plain,
% 0.19/0.40 (((p_2 | p_4 | (~p_3) | (~p_1)) | p_5) <=> (p_2 | p_4 | p_5 | (~p_3) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(252,plain,
% 0.19/0.40 (((p_2 | (~p_3) | (~p_1)) | p_4) <=> (p_2 | p_4 | (~p_3) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(253,plain,
% 0.19/0.40 (((p_2 | (~p_1)) | (~p_3)) <=> (p_2 | (~p_3) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(254,plain,
% 0.19/0.40 ((((~p_1) | p_2) | (~p_3)) <=> ((p_2 | (~p_1)) | (~p_3))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[192])).
% 0.19/0.40 tff(255,plain,
% 0.19/0.40 ((((~p_1) | p_2) | (~p_3)) <=> (p_2 | (~p_3) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[254, 253])).
% 0.19/0.40 tff(256,plain,
% 0.19/0.40 (((((~p_1) | p_2) | (~p_3)) | p_4) <=> ((p_2 | (~p_3) | (~p_1)) | p_4)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[255])).
% 0.19/0.40 tff(257,plain,
% 0.19/0.40 (((((~p_1) | p_2) | (~p_3)) | p_4) <=> (p_2 | p_4 | (~p_3) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[256, 252])).
% 0.19/0.40 tff(258,plain,
% 0.19/0.40 ((((((~p_1) | p_2) | (~p_3)) | p_4) | p_5) <=> ((p_2 | p_4 | (~p_3) | (~p_1)) | p_5)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[257])).
% 0.19/0.40 tff(259,plain,
% 0.19/0.40 ((((((~p_1) | p_2) | (~p_3)) | p_4) | p_5) <=> (p_2 | p_4 | p_5 | (~p_3) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[258, 251])).
% 0.19/0.40 tff(260,axiom,(((((~p_1) | p_2) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','npnpp')).
% 0.19/0.40 tff(261,plain,
% 0.19/0.40 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.19/0.40 tff(262,plain,
% 0.19/0.40 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[261, 250])).
% 0.19/0.40 tff(263,plain,
% 0.19/0.40 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[262, 250])).
% 0.19/0.40 tff(264,plain,
% 0.19/0.40 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[263, 250])).
% 0.19/0.40 tff(265,plain,
% 0.19/0.40 (p_2 | p_4 | p_5 | (~p_3)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[264, 188])).
% 0.19/0.40 tff(266,plain,
% 0.19/0.40 (p_2),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[265, 3, 249, 1])).
% 0.19/0.40 tff(267,plain,
% 0.19/0.40 ((p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)) <=> (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(268,plain,
% 0.19/0.40 (((p_4 | (~p_3) | (~p_2) | (~p_1)) | p_5) <=> (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(269,plain,
% 0.19/0.40 ((((~p_3) | (~p_2) | (~p_1)) | p_4) <=> (p_4 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(270,plain,
% 0.19/0.40 ((((~p_1) | (~p_2)) | (~p_3)) <=> ((~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(271,plain,
% 0.19/0.40 (((((~p_1) | (~p_2)) | (~p_3)) | p_4) <=> (((~p_3) | (~p_2) | (~p_1)) | p_4)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[270])).
% 0.19/0.40 tff(272,plain,
% 0.19/0.40 (((((~p_1) | (~p_2)) | (~p_3)) | p_4) <=> (p_4 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[271, 269])).
% 0.19/0.40 tff(273,plain,
% 0.19/0.40 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | p_5) <=> ((p_4 | (~p_3) | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[272])).
% 0.19/0.40 tff(274,plain,
% 0.19/0.40 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | p_5) <=> (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[273, 268])).
% 0.19/0.40 tff(275,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnnpp')).
% 0.19/0.40 tff(276,plain,
% 0.19/0.40 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.19/0.40 tff(277,plain,
% 0.19/0.40 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[276, 267])).
% 0.19/0.40 tff(278,plain,
% 0.19/0.40 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[277, 267])).
% 0.19/0.40 tff(279,plain,
% 0.19/0.40 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[278, 267])).
% 0.19/0.40 tff(280,plain,
% 0.19/0.40 (p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[279, 188])).
% 0.19/0.40 tff(281,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[280, 266, 3, 249, 1])).
% 0.19/0.40 tff(282,plain,(p_4 | p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(283,plain,
% 0.19/0.40 (p_4),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[282, 1])).
% 0.19/0.40 tff(284,plain,
% 0.19/0.40 ((p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)) <=> (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(285,plain,
% 0.19/0.40 (((p_2 | (~p_4) | (~p_3) | (~p_1)) | p_5) <=> (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(286,plain,
% 0.19/0.40 (((p_2 | (~p_3) | (~p_1)) | (~p_4)) <=> (p_2 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(287,plain,
% 0.19/0.40 (((((~p_1) | p_2) | (~p_3)) | (~p_4)) <=> ((p_2 | (~p_3) | (~p_1)) | (~p_4))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[255])).
% 0.19/0.40 tff(288,plain,
% 0.19/0.40 (((((~p_1) | p_2) | (~p_3)) | (~p_4)) <=> (p_2 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[287, 286])).
% 0.19/0.40 tff(289,plain,
% 0.19/0.40 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | p_5) <=> ((p_2 | (~p_4) | (~p_3) | (~p_1)) | p_5)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[288])).
% 0.19/0.40 tff(290,plain,
% 0.19/0.40 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | p_5) <=> (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[289, 285])).
% 0.19/0.40 tff(291,axiom,(((((~p_1) | p_2) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','npnnp')).
% 0.19/0.40 tff(292,plain,
% 0.19/0.40 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.19/0.40 tff(293,plain,
% 0.19/0.40 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[292, 284])).
% 0.19/0.40 tff(294,plain,
% 0.19/0.40 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[293, 284])).
% 0.19/0.40 tff(295,plain,
% 0.19/0.40 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[294, 284])).
% 0.19/0.40 tff(296,plain,
% 0.19/0.40 (p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[295, 188])).
% 0.19/0.40 tff(297,plain,
% 0.19/0.40 (p_2),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[296, 283, 249, 1])).
% 0.19/0.40 tff(298,plain,
% 0.19/0.40 ((p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)) <=> (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(299,plain,
% 0.19/0.40 ((((~p_4) | (~p_3) | (~p_2) | (~p_1)) | p_5) <=> (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(300,plain,
% 0.19/0.40 ((((~p_3) | (~p_2) | (~p_1)) | (~p_4)) <=> ((~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(301,plain,
% 0.19/0.40 (((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) <=> (((~p_3) | (~p_2) | (~p_1)) | (~p_4))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[270])).
% 0.19/0.40 tff(302,plain,
% 0.19/0.40 (((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) <=> ((~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[301, 300])).
% 0.19/0.40 tff(303,plain,
% 0.19/0.40 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> (((~p_4) | (~p_3) | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[302])).
% 0.19/0.40 tff(304,plain,
% 0.19/0.40 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.40 inference(transitivity,[status(thm)],[303, 299])).
% 0.19/0.40 tff(305,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnnnp')).
% 0.19/0.40 tff(306,plain,
% 0.19/0.40 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[305, 304])).
% 0.19/0.40 tff(307,plain,
% 0.19/0.40 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[306, 298])).
% 0.19/0.40 tff(308,plain,
% 0.19/0.40 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[307, 298])).
% 0.19/0.40 tff(309,plain,
% 0.19/0.40 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[308, 298])).
% 0.19/0.40 tff(310,plain,
% 0.19/0.40 (p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[309, 188])).
% 0.19/0.40 tff(311,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[310, 297, 283, 249, 1])).
% 0.19/0.40 tff(312,plain,(p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(313,plain,
% 0.19/0.40 ((p_2 | p_3 | p_4 | (~p_5) | (~p_1)) <=> (p_2 | p_3 | p_4 | (~p_5) | (~p_1))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(314,plain,
% 0.19/0.40 (((p_2 | p_3 | p_4 | (~p_1)) | (~p_5)) <=> (p_2 | p_3 | p_4 | (~p_5) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(315,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | p_3) | p_4) | (~p_5)) <=> ((p_2 | p_3 | p_4 | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[196])).
% 0.19/0.41 tff(316,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | p_3) | p_4) | (~p_5)) <=> (p_2 | p_3 | p_4 | (~p_5) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[315, 314])).
% 0.19/0.41 tff(317,axiom,(((((~p_1) | p_2) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','npppn')).
% 0.19/0.41 tff(318,plain,
% 0.19/0.41 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[317, 316])).
% 0.19/0.41 tff(319,plain,
% 0.19/0.41 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[318, 313])).
% 0.19/0.41 tff(320,plain,
% 0.19/0.41 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[319, 313])).
% 0.19/0.41 tff(321,plain,
% 0.19/0.41 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[320, 313])).
% 0.19/0.41 tff(322,plain,
% 0.19/0.41 (p_2 | p_3 | p_4 | (~p_5)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[321, 188])).
% 0.19/0.41 tff(323,plain,
% 0.19/0.41 (p_2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[322, 3, 2, 312])).
% 0.19/0.41 tff(324,plain,
% 0.19/0.41 ((p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)) <=> (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(325,plain,
% 0.19/0.41 (((p_3 | p_4 | (~p_2) | (~p_1)) | (~p_5)) <=> (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(326,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | p_3) | p_4) | (~p_5)) <=> ((p_3 | p_4 | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[208])).
% 0.19/0.41 tff(327,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | p_3) | p_4) | (~p_5)) <=> (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[326, 325])).
% 0.19/0.41 tff(328,axiom,(((((~p_1) | (~p_2)) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnppn')).
% 0.19/0.41 tff(329,plain,
% 0.19/0.41 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.19/0.41 tff(330,plain,
% 0.19/0.41 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[329, 324])).
% 0.19/0.41 tff(331,plain,
% 0.19/0.41 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[330, 324])).
% 0.19/0.41 tff(332,plain,
% 0.19/0.41 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[331, 324])).
% 0.19/0.41 tff(333,plain,
% 0.19/0.41 (p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[332, 188])).
% 0.19/0.41 tff(334,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[333, 323, 3, 2, 312])).
% 0.19/0.41 tff(335,plain,(p_4 | p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(336,plain,
% 0.19/0.41 (p_4),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[335, 2])).
% 0.19/0.41 tff(337,plain,
% 0.19/0.41 ((p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)) <=> (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(338,plain,
% 0.19/0.41 (((p_2 | p_3 | (~p_4) | (~p_1)) | (~p_5)) <=> (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(339,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | p_3) | (~p_4)) | (~p_5)) <=> ((p_2 | p_3 | (~p_4) | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[224])).
% 0.19/0.41 tff(340,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | p_3) | (~p_4)) | (~p_5)) <=> (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[339, 338])).
% 0.19/0.41 tff(341,axiom,(((((~p_1) | p_2) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nppnn')).
% 0.19/0.41 tff(342,plain,
% 0.19/0.41 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[341, 340])).
% 0.19/0.41 tff(343,plain,
% 0.19/0.41 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[342, 337])).
% 0.19/0.41 tff(344,plain,
% 0.19/0.41 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[343, 337])).
% 0.19/0.41 tff(345,plain,
% 0.19/0.41 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[344, 337])).
% 0.19/0.41 tff(346,plain,
% 0.19/0.41 (p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[345, 188])).
% 0.19/0.41 tff(347,plain,
% 0.19/0.41 (p_2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[346, 336, 2, 312])).
% 0.19/0.41 tff(348,plain,
% 0.19/0.41 ((p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)) <=> (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(349,plain,
% 0.19/0.41 (((p_3 | (~p_4) | (~p_2) | (~p_1)) | (~p_5)) <=> (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(350,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> ((p_3 | (~p_4) | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[238])).
% 0.19/0.41 tff(351,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[350, 349])).
% 0.19/0.41 tff(352,axiom,(((((~p_1) | (~p_2)) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnpnn')).
% 0.19/0.41 tff(353,plain,
% 0.19/0.41 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.19/0.41 tff(354,plain,
% 0.19/0.41 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[353, 348])).
% 0.19/0.41 tff(355,plain,
% 0.19/0.41 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[354, 348])).
% 0.19/0.41 tff(356,plain,
% 0.19/0.41 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[355, 348])).
% 0.19/0.41 tff(357,plain,
% 0.19/0.41 (p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[356, 188])).
% 0.19/0.41 tff(358,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[357, 347, 336, 2, 312])).
% 0.19/0.41 tff(359,plain,(p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(360,plain,
% 0.19/0.41 ((p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)) <=> (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(361,plain,
% 0.19/0.41 (((p_2 | p_4 | (~p_3) | (~p_1)) | (~p_5)) <=> (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(362,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | (~p_3)) | p_4) | (~p_5)) <=> ((p_2 | p_4 | (~p_3) | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[257])).
% 0.19/0.41 tff(363,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | (~p_3)) | p_4) | (~p_5)) <=> (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[362, 361])).
% 0.19/0.41 tff(364,axiom,(((((~p_1) | p_2) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','npnpn')).
% 0.19/0.41 tff(365,plain,
% 0.19/0.41 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.19/0.41 tff(366,plain,
% 0.19/0.41 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[365, 360])).
% 0.19/0.41 tff(367,plain,
% 0.19/0.41 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[366, 360])).
% 0.19/0.41 tff(368,plain,
% 0.19/0.41 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[367, 360])).
% 0.19/0.41 tff(369,plain,
% 0.19/0.41 (p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[368, 188])).
% 0.19/0.41 tff(370,plain,
% 0.19/0.41 (p_2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[369, 3, 359, 312])).
% 0.19/0.41 tff(371,plain,
% 0.19/0.41 ((p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)) <=> (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(372,plain,
% 0.19/0.41 (((p_4 | (~p_3) | (~p_2) | (~p_1)) | (~p_5)) <=> (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(373,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> ((p_4 | (~p_3) | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[272])).
% 0.19/0.41 tff(374,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[373, 372])).
% 0.19/0.41 tff(375,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnnpn')).
% 0.19/0.41 tff(376,plain,
% 0.19/0.41 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[375, 374])).
% 0.19/0.41 tff(377,plain,
% 0.19/0.41 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[376, 371])).
% 0.19/0.41 tff(378,plain,
% 0.19/0.41 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[377, 371])).
% 0.19/0.41 tff(379,plain,
% 0.19/0.41 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[378, 371])).
% 0.19/0.41 tff(380,plain,
% 0.19/0.41 (p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[379, 188])).
% 0.19/0.41 tff(381,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[380, 370, 3, 359, 312])).
% 0.19/0.41 tff(382,plain,(p_4), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(383,plain,
% 0.19/0.41 ((p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)) <=> (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(384,plain,
% 0.19/0.41 (((p_2 | (~p_4) | (~p_3) | (~p_1)) | (~p_5)) <=> (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(385,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((p_2 | (~p_4) | (~p_3) | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[288])).
% 0.19/0.41 tff(386,plain,
% 0.19/0.41 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[385, 384])).
% 0.19/0.41 tff(387,axiom,(((((~p_1) | p_2) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','npnnn')).
% 0.19/0.41 tff(388,plain,
% 0.19/0.41 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[387, 386])).
% 0.19/0.41 tff(389,plain,
% 0.19/0.41 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[388, 383])).
% 0.19/0.41 tff(390,plain,
% 0.19/0.41 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[389, 383])).
% 0.19/0.41 tff(391,plain,
% 0.19/0.41 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[390, 383])).
% 0.19/0.41 tff(392,plain,
% 0.19/0.41 (p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[391, 188])).
% 0.19/0.41 tff(393,plain,
% 0.19/0.41 (p_2),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[392, 382, 359, 312])).
% 0.19/0.41 tff(394,plain,
% 0.19/0.41 (((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)) <=> ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(395,plain,
% 0.19/0.41 ((((~p_4) | (~p_3) | (~p_2) | (~p_1)) | (~p_5)) <=> ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(396,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> (((~p_4) | (~p_3) | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[302])).
% 0.19/0.41 tff(397,plain,
% 0.19/0.41 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.41 inference(transitivity,[status(thm)],[396, 395])).
% 0.19/0.41 tff(398,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','nnnnn')).
% 0.19/0.41 tff(399,plain,
% 0.19/0.41 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[398, 397])).
% 0.19/0.41 tff(400,plain,
% 0.19/0.41 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[399, 394])).
% 0.19/0.41 tff(401,plain,
% 0.19/0.41 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[400, 394])).
% 0.19/0.41 tff(402,plain,
% 0.19/0.41 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[401, 394])).
% 0.19/0.42 tff(403,plain,
% 0.19/0.42 ((~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[402, 188])).
% 0.19/0.42 tff(404,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[403, 393, 382, 359, 312])).
% 0.19/0.42 % SZS output end Proof
% 0.19/0.42 % E exiting
%------------------------------------------------------------------------------