TSTP Solution File: SYN001-1.005 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:53:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 00:58:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.36 % SZS status Unsatisfiable
% 0.19/0.36 % SZS output start Proof
% 0.19/0.36 tff(p_5_type, type, (
% 0.19/0.36 p_5: $o)).
% 0.19/0.36 tff(p_3_type, type, (
% 0.19/0.36 p_3: $o)).
% 0.19/0.36 tff(p_4_type, type, (
% 0.19/0.36 p_4: $o)).
% 0.19/0.36 tff(p_2_type, type, (
% 0.19/0.36 p_2: $o)).
% 0.19/0.36 tff(p_1_type, type, (
% 0.19/0.36 p_1: $o)).
% 0.19/0.36 tff(1,assumption,(~p_5), introduced(assumption)).
% 0.19/0.36 tff(2,assumption,(~p_3), introduced(assumption)).
% 0.19/0.36 tff(3,assumption,(~p_4), introduced(assumption)).
% 0.19/0.36 tff(4,assumption,(~p_1), introduced(assumption)).
% 0.19/0.36 tff(5,assumption,(~p_2), introduced(assumption)).
% 0.19/0.36 tff(6,plain,
% 0.19/0.36 (((p_1 | p_2 | p_3 | p_4) | p_5) <=> (p_1 | p_2 | p_3 | p_4 | p_5)),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(7,plain,
% 0.19/0.36 (((p_1 | p_2 | p_3) | p_4) <=> (p_1 | p_2 | p_3 | p_4)),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(8,plain,
% 0.19/0.36 (((p_1 | p_2) | p_3) <=> (p_1 | p_2 | p_3)),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(9,plain,
% 0.19/0.36 ((((p_1 | p_2) | p_3) | p_4) <=> ((p_1 | p_2 | p_3) | p_4)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[8])).
% 0.19/0.36 tff(10,plain,
% 0.19/0.36 ((((p_1 | p_2) | p_3) | p_4) <=> (p_1 | p_2 | p_3 | p_4)),
% 0.19/0.36 inference(transitivity,[status(thm)],[9, 7])).
% 0.19/0.36 tff(11,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | p_4) | p_5) <=> ((p_1 | p_2 | p_3 | p_4) | p_5)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[10])).
% 0.19/0.36 tff(12,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | p_4) | p_5) <=> (p_1 | p_2 | p_3 | p_4 | p_5)),
% 0.19/0.36 inference(transitivity,[status(thm)],[11, 6])).
% 0.19/0.36 tff(13,axiom,((((p_1 | p_2) | p_3) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ppppp')).
% 0.19/0.36 tff(14,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | p_4 | p_5),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.36 tff(15,plain,
% 0.19/0.36 (p_5),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[14, 5, 4, 2, 3])).
% 0.19/0.36 tff(16,plain,
% 0.19/0.36 (((p_1 | p_2 | p_3 | p_4) | (~p_5)) <=> (p_1 | p_2 | p_3 | p_4 | (~p_5))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(17,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | p_4) | (~p_5)) <=> ((p_1 | p_2 | p_3 | p_4) | (~p_5))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[10])).
% 0.19/0.36 tff(18,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | p_4) | (~p_5)) <=> (p_1 | p_2 | p_3 | p_4 | (~p_5))),
% 0.19/0.36 inference(transitivity,[status(thm)],[17, 16])).
% 0.19/0.36 tff(19,axiom,((((p_1 | p_2) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ppppn')).
% 0.19/0.36 tff(20,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | p_4 | (~p_5)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.36 tff(21,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[20, 15, 5, 4, 2, 3])).
% 0.19/0.36 tff(22,plain,(p_2 | p_1 | p_3 | p_4), inference(lemma,lemma(discharge,[]))).
% 0.19/0.36 tff(23,plain,
% 0.19/0.36 (p_2),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[22, 3, 2, 4])).
% 0.19/0.36 tff(24,plain,
% 0.19/0.36 (((p_1 | p_3 | p_4 | (~p_2)) | p_5) <=> (p_1 | p_3 | p_4 | p_5 | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(25,plain,
% 0.19/0.36 (((p_1 | p_3 | (~p_2)) | p_4) <=> (p_1 | p_3 | p_4 | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(26,plain,
% 0.19/0.36 (((p_1 | (~p_2)) | p_3) <=> (p_1 | p_3 | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(27,plain,
% 0.19/0.36 ((((p_1 | (~p_2)) | p_3) | p_4) <=> ((p_1 | p_3 | (~p_2)) | p_4)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[26])).
% 0.19/0.36 tff(28,plain,
% 0.19/0.36 ((((p_1 | (~p_2)) | p_3) | p_4) <=> (p_1 | p_3 | p_4 | (~p_2))),
% 0.19/0.36 inference(transitivity,[status(thm)],[27, 25])).
% 0.19/0.36 tff(29,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | p_4) | p_5) <=> ((p_1 | p_3 | p_4 | (~p_2)) | p_5)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[28])).
% 0.19/0.36 tff(30,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | p_4) | p_5) <=> (p_1 | p_3 | p_4 | p_5 | (~p_2))),
% 0.19/0.36 inference(transitivity,[status(thm)],[29, 24])).
% 0.19/0.36 tff(31,axiom,((((p_1 | (~p_2)) | p_3) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnppp')).
% 0.19/0.36 tff(32,plain,
% 0.19/0.36 (p_1 | p_3 | p_4 | p_5 | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.36 tff(33,plain,
% 0.19/0.36 (p_5),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[32, 23, 4, 2, 3])).
% 0.19/0.36 tff(34,plain,
% 0.19/0.36 ((p_1 | p_3 | p_4 | (~p_5) | (~p_2)) <=> (p_1 | p_3 | p_4 | (~p_5) | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(35,plain,
% 0.19/0.36 (((p_1 | p_3 | p_4 | (~p_2)) | (~p_5)) <=> (p_1 | p_3 | p_4 | (~p_5) | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(36,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | p_4) | (~p_5)) <=> ((p_1 | p_3 | p_4 | (~p_2)) | (~p_5))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[28])).
% 0.19/0.36 tff(37,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | p_4) | (~p_5)) <=> (p_1 | p_3 | p_4 | (~p_5) | (~p_2))),
% 0.19/0.36 inference(transitivity,[status(thm)],[36, 35])).
% 0.19/0.36 tff(38,axiom,((((p_1 | (~p_2)) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnppn')).
% 0.19/0.36 tff(39,plain,
% 0.19/0.36 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.36 tff(40,plain,
% 0.19/0.36 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[39, 34])).
% 0.19/0.36 tff(41,plain,
% 0.19/0.36 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[40, 34])).
% 0.19/0.36 tff(42,plain,
% 0.19/0.36 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.19/0.36 tff(43,plain,
% 0.19/0.36 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[42, 34])).
% 0.19/0.36 tff(44,plain,
% 0.19/0.36 (p_1 | p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[43, 34])).
% 0.19/0.36 tff(45,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[44, 33, 23, 4, 2, 3])).
% 0.19/0.36 tff(46,plain,(p_4 | p_1 | p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.36 tff(47,plain,
% 0.19/0.36 (p_4),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[46, 2, 4])).
% 0.19/0.36 tff(48,plain,
% 0.19/0.36 (((p_1 | p_2 | p_3 | (~p_4)) | p_5) <=> (p_1 | p_2 | p_3 | p_5 | (~p_4))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(49,plain,
% 0.19/0.36 (((p_1 | p_2 | p_3) | (~p_4)) <=> (p_1 | p_2 | p_3 | (~p_4))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(50,plain,
% 0.19/0.36 ((((p_1 | p_2) | p_3) | (~p_4)) <=> ((p_1 | p_2 | p_3) | (~p_4))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[8])).
% 0.19/0.36 tff(51,plain,
% 0.19/0.36 ((((p_1 | p_2) | p_3) | (~p_4)) <=> (p_1 | p_2 | p_3 | (~p_4))),
% 0.19/0.36 inference(transitivity,[status(thm)],[50, 49])).
% 0.19/0.36 tff(52,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | (~p_4)) | p_5) <=> ((p_1 | p_2 | p_3 | (~p_4)) | p_5)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[51])).
% 0.19/0.36 tff(53,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | (~p_4)) | p_5) <=> (p_1 | p_2 | p_3 | p_5 | (~p_4))),
% 0.19/0.36 inference(transitivity,[status(thm)],[52, 48])).
% 0.19/0.36 tff(54,axiom,((((p_1 | p_2) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pppnp')).
% 0.19/0.36 tff(55,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | p_5 | (~p_4)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.19/0.36 tff(56,plain,
% 0.19/0.36 (p_5),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[55, 5, 4, 2, 47])).
% 0.19/0.36 tff(57,plain,
% 0.19/0.36 ((p_1 | p_2 | p_3 | (~p_5) | (~p_4)) <=> (p_1 | p_2 | p_3 | (~p_5) | (~p_4))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(58,plain,
% 0.19/0.36 (((p_1 | p_2 | p_3 | (~p_4)) | (~p_5)) <=> (p_1 | p_2 | p_3 | (~p_5) | (~p_4))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(59,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | (~p_4)) | (~p_5)) <=> ((p_1 | p_2 | p_3 | (~p_4)) | (~p_5))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[51])).
% 0.19/0.36 tff(60,plain,
% 0.19/0.36 (((((p_1 | p_2) | p_3) | (~p_4)) | (~p_5)) <=> (p_1 | p_2 | p_3 | (~p_5) | (~p_4))),
% 0.19/0.36 inference(transitivity,[status(thm)],[59, 58])).
% 0.19/0.36 tff(61,axiom,((((p_1 | p_2) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pppnn')).
% 0.19/0.36 tff(62,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.19/0.36 tff(63,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[62, 57])).
% 0.19/0.36 tff(64,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[63, 57])).
% 0.19/0.36 tff(65,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[64, 57])).
% 0.19/0.36 tff(66,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[65, 57])).
% 0.19/0.36 tff(67,plain,
% 0.19/0.36 (p_1 | p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[66, 57])).
% 0.19/0.36 tff(68,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[67, 56, 5, 4, 2, 47])).
% 0.19/0.36 tff(69,plain,(p_2 | p_1 | p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.36 tff(70,plain,
% 0.19/0.36 (p_2),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[69, 2, 4])).
% 0.19/0.36 tff(71,plain,
% 0.19/0.36 ((p_1 | p_3 | p_5 | (~p_4) | (~p_2)) <=> (p_1 | p_3 | p_5 | (~p_4) | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(72,plain,
% 0.19/0.36 (((p_1 | p_3 | (~p_4) | (~p_2)) | p_5) <=> (p_1 | p_3 | p_5 | (~p_4) | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(73,plain,
% 0.19/0.36 (((p_1 | p_3 | (~p_2)) | (~p_4)) <=> (p_1 | p_3 | (~p_4) | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(74,plain,
% 0.19/0.36 ((((p_1 | (~p_2)) | p_3) | (~p_4)) <=> ((p_1 | p_3 | (~p_2)) | (~p_4))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[26])).
% 0.19/0.36 tff(75,plain,
% 0.19/0.36 ((((p_1 | (~p_2)) | p_3) | (~p_4)) <=> (p_1 | p_3 | (~p_4) | (~p_2))),
% 0.19/0.36 inference(transitivity,[status(thm)],[74, 73])).
% 0.19/0.36 tff(76,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | p_5) <=> ((p_1 | p_3 | (~p_4) | (~p_2)) | p_5)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[75])).
% 0.19/0.36 tff(77,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | p_5) <=> (p_1 | p_3 | p_5 | (~p_4) | (~p_2))),
% 0.19/0.36 inference(transitivity,[status(thm)],[76, 72])).
% 0.19/0.36 tff(78,axiom,((((p_1 | (~p_2)) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnpnp')).
% 0.19/0.36 tff(79,plain,
% 0.19/0.36 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.19/0.36 tff(80,plain,
% 0.19/0.36 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[79, 71])).
% 0.19/0.36 tff(81,plain,
% 0.19/0.36 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[80, 71])).
% 0.19/0.36 tff(82,plain,
% 0.19/0.36 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[81, 71])).
% 0.19/0.36 tff(83,plain,
% 0.19/0.36 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[82, 71])).
% 0.19/0.36 tff(84,plain,
% 0.19/0.36 (p_1 | p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[83, 71])).
% 0.19/0.36 tff(85,plain,
% 0.19/0.36 (p_5),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[84, 70, 4, 2, 47])).
% 0.19/0.36 tff(86,plain,
% 0.19/0.36 ((p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)) <=> (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(87,plain,
% 0.19/0.36 (((p_1 | p_3 | (~p_4) | (~p_2)) | (~p_5)) <=> (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(88,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> ((p_1 | p_3 | (~p_4) | (~p_2)) | (~p_5))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[75])).
% 0.19/0.36 tff(89,plain,
% 0.19/0.36 (((((p_1 | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2))),
% 0.19/0.36 inference(transitivity,[status(thm)],[88, 87])).
% 0.19/0.36 tff(90,axiom,((((p_1 | (~p_2)) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnpnn')).
% 0.19/0.36 tff(91,plain,
% 0.19/0.36 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.19/0.36 tff(92,plain,
% 0.19/0.36 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[91, 86])).
% 0.19/0.36 tff(93,plain,
% 0.19/0.36 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[92, 86])).
% 0.19/0.36 tff(94,plain,
% 0.19/0.36 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[93, 86])).
% 0.19/0.36 tff(95,plain,
% 0.19/0.36 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[94, 86])).
% 0.19/0.36 tff(96,plain,
% 0.19/0.36 (p_1 | p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[95, 86])).
% 0.19/0.36 tff(97,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[96, 85, 70, 4, 2, 47])).
% 0.19/0.36 tff(98,plain,(p_3 | p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.36 tff(99,plain,
% 0.19/0.36 (p_3),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[98, 4])).
% 0.19/0.36 tff(100,plain,
% 0.19/0.36 (((p_1 | p_2 | p_4 | (~p_3)) | p_5) <=> (p_1 | p_2 | p_4 | p_5 | (~p_3))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(101,plain,
% 0.19/0.36 (((p_1 | p_2 | (~p_3)) | p_4) <=> (p_1 | p_2 | p_4 | (~p_3))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(102,plain,
% 0.19/0.36 (((p_1 | p_2) | (~p_3)) <=> (p_1 | p_2 | (~p_3))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(103,plain,
% 0.19/0.36 ((((p_1 | p_2) | (~p_3)) | p_4) <=> ((p_1 | p_2 | (~p_3)) | p_4)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[102])).
% 0.19/0.36 tff(104,plain,
% 0.19/0.36 ((((p_1 | p_2) | (~p_3)) | p_4) <=> (p_1 | p_2 | p_4 | (~p_3))),
% 0.19/0.37 inference(transitivity,[status(thm)],[103, 101])).
% 0.19/0.37 tff(105,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | p_4) | p_5) <=> ((p_1 | p_2 | p_4 | (~p_3)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[104])).
% 0.19/0.37 tff(106,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | p_4) | p_5) <=> (p_1 | p_2 | p_4 | p_5 | (~p_3))),
% 0.19/0.37 inference(transitivity,[status(thm)],[105, 100])).
% 0.19/0.37 tff(107,axiom,((((p_1 | p_2) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ppnpp')).
% 0.19/0.37 tff(108,plain,
% 0.19/0.37 (p_1 | p_2 | p_4 | p_5 | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.19/0.37 tff(109,plain,
% 0.19/0.37 (p_5),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[108, 5, 4, 99, 3])).
% 0.19/0.37 tff(110,plain,
% 0.19/0.37 ((p_1 | p_2 | p_4 | (~p_5) | (~p_3)) <=> (p_1 | p_2 | p_4 | (~p_5) | (~p_3))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(111,plain,
% 0.19/0.37 (((p_1 | p_2 | p_4 | (~p_3)) | (~p_5)) <=> (p_1 | p_2 | p_4 | (~p_5) | (~p_3))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(112,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | p_4) | (~p_5)) <=> ((p_1 | p_2 | p_4 | (~p_3)) | (~p_5))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[104])).
% 0.19/0.37 tff(113,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | p_4) | (~p_5)) <=> (p_1 | p_2 | p_4 | (~p_5) | (~p_3))),
% 0.19/0.37 inference(transitivity,[status(thm)],[112, 111])).
% 0.19/0.37 tff(114,axiom,((((p_1 | p_2) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ppnpn')).
% 0.19/0.37 tff(115,plain,
% 0.19/0.37 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.19/0.37 tff(116,plain,
% 0.19/0.37 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[115, 110])).
% 0.19/0.37 tff(117,plain,
% 0.19/0.37 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[116, 110])).
% 0.19/0.37 tff(118,plain,
% 0.19/0.37 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[117, 110])).
% 0.19/0.37 tff(119,plain,
% 0.19/0.37 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[118, 110])).
% 0.19/0.37 tff(120,plain,
% 0.19/0.37 (p_1 | p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[119, 110])).
% 0.19/0.37 tff(121,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[120, 109, 5, 4, 99, 3])).
% 0.19/0.37 tff(122,plain,(p_2 | p_1 | p_4), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(123,plain,
% 0.19/0.37 (p_2),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[122, 3, 4])).
% 0.19/0.37 tff(124,plain,
% 0.19/0.37 ((p_1 | p_4 | p_5 | (~p_3) | (~p_2)) <=> (p_1 | p_4 | p_5 | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(125,plain,
% 0.19/0.37 (((p_1 | p_4 | (~p_3) | (~p_2)) | p_5) <=> (p_1 | p_4 | p_5 | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(126,plain,
% 0.19/0.37 (((p_1 | (~p_3) | (~p_2)) | p_4) <=> (p_1 | p_4 | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(127,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(128,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)],[127])).
% 0.19/0.37 tff(129,plain,
% 0.19/0.37 ((((p_1 | (~p_2)) | (~p_3)) | p_4) <=> (p_1 | p_4 | (~p_3) | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[128, 126])).
% 0.19/0.37 tff(130,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | p_5) <=> ((p_1 | p_4 | (~p_3) | (~p_2)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[129])).
% 0.19/0.37 tff(131,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | p_5) <=> (p_1 | p_4 | p_5 | (~p_3) | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[130, 125])).
% 0.19/0.37 tff(132,axiom,((((p_1 | (~p_2)) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnnpp')).
% 0.19/0.37 tff(133,plain,
% 0.19/0.37 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.19/0.37 tff(134,plain,
% 0.19/0.37 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[133, 124])).
% 0.19/0.37 tff(135,plain,
% 0.19/0.37 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[134, 124])).
% 0.19/0.37 tff(136,plain,
% 0.19/0.37 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[135, 124])).
% 0.19/0.37 tff(137,plain,
% 0.19/0.37 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[136, 124])).
% 0.19/0.37 tff(138,plain,
% 0.19/0.37 (p_1 | p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[137, 124])).
% 0.19/0.37 tff(139,plain,
% 0.19/0.37 (p_5),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[138, 123, 4, 99, 3])).
% 0.19/0.37 tff(140,plain,
% 0.19/0.37 ((p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)) <=> (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(141,plain,
% 0.19/0.37 (((p_1 | p_4 | (~p_3) | (~p_2)) | (~p_5)) <=> (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(142,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> ((p_1 | p_4 | (~p_3) | (~p_2)) | (~p_5))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[129])).
% 0.19/0.37 tff(143,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[142, 141])).
% 0.19/0.37 tff(144,axiom,((((p_1 | (~p_2)) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnnpn')).
% 0.19/0.37 tff(145,plain,
% 0.19/0.37 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.19/0.37 tff(146,plain,
% 0.19/0.37 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[145, 140])).
% 0.19/0.37 tff(147,plain,
% 0.19/0.37 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[146, 140])).
% 0.19/0.37 tff(148,plain,
% 0.19/0.37 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[147, 140])).
% 0.19/0.37 tff(149,plain,
% 0.19/0.37 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[148, 140])).
% 0.19/0.37 tff(150,plain,
% 0.19/0.37 (p_1 | p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[149, 140])).
% 0.19/0.37 tff(151,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[150, 139, 123, 4, 99, 3])).
% 0.19/0.37 tff(152,plain,(p_4 | p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(153,plain,
% 0.19/0.37 (p_4),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[152, 4])).
% 0.19/0.37 tff(154,plain,
% 0.19/0.37 ((p_1 | p_2 | p_5 | (~p_4) | (~p_3)) <=> (p_1 | p_2 | p_5 | (~p_4) | (~p_3))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(155,plain,
% 0.19/0.37 (((p_1 | p_2 | (~p_4) | (~p_3)) | p_5) <=> (p_1 | p_2 | p_5 | (~p_4) | (~p_3))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(156,plain,
% 0.19/0.37 (((p_1 | p_2 | (~p_3)) | (~p_4)) <=> (p_1 | p_2 | (~p_4) | (~p_3))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(157,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)],[102])).
% 0.19/0.37 tff(158,plain,
% 0.19/0.37 ((((p_1 | p_2) | (~p_3)) | (~p_4)) <=> (p_1 | p_2 | (~p_4) | (~p_3))),
% 0.19/0.37 inference(transitivity,[status(thm)],[157, 156])).
% 0.19/0.37 tff(159,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | p_5) <=> ((p_1 | p_2 | (~p_4) | (~p_3)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[158])).
% 0.19/0.37 tff(160,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | p_5) <=> (p_1 | p_2 | p_5 | (~p_4) | (~p_3))),
% 0.19/0.37 inference(transitivity,[status(thm)],[159, 155])).
% 0.19/0.37 tff(161,axiom,((((p_1 | p_2) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ppnnp')).
% 0.19/0.37 tff(162,plain,
% 0.19/0.37 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.19/0.37 tff(163,plain,
% 0.19/0.37 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[162, 154])).
% 0.19/0.37 tff(164,plain,
% 0.19/0.37 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[163, 154])).
% 0.19/0.37 tff(165,plain,
% 0.19/0.37 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[164, 154])).
% 0.19/0.37 tff(166,plain,
% 0.19/0.37 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[165, 154])).
% 0.19/0.37 tff(167,plain,
% 0.19/0.37 (p_1 | p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[166, 154])).
% 0.19/0.37 tff(168,plain,
% 0.19/0.37 (p_5),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[167, 5, 4, 99, 153])).
% 0.19/0.37 tff(169,plain,
% 0.19/0.37 ((p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)) <=> (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(170,plain,
% 0.19/0.37 (((p_1 | p_2 | (~p_4) | (~p_3)) | (~p_5)) <=> (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(171,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((p_1 | p_2 | (~p_4) | (~p_3)) | (~p_5))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[158])).
% 0.19/0.37 tff(172,plain,
% 0.19/0.37 (((((p_1 | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3))),
% 0.19/0.37 inference(transitivity,[status(thm)],[171, 170])).
% 0.19/0.37 tff(173,axiom,((((p_1 | p_2) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ppnnn')).
% 0.19/0.37 tff(174,plain,
% 0.19/0.37 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.19/0.37 tff(175,plain,
% 0.19/0.37 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[174, 169])).
% 0.19/0.37 tff(176,plain,
% 0.19/0.37 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[175, 169])).
% 0.19/0.37 tff(177,plain,
% 0.19/0.37 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.19/0.37 tff(178,plain,
% 0.19/0.37 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[177, 169])).
% 0.19/0.37 tff(179,plain,
% 0.19/0.37 (p_1 | p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[178, 169])).
% 0.19/0.37 tff(180,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[179, 168, 5, 4, 99, 153])).
% 0.19/0.37 tff(181,plain,(p_2 | p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(182,plain,
% 0.19/0.37 (p_2),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[181, 4])).
% 0.19/0.37 tff(183,plain,
% 0.19/0.37 ((p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)) <=> (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(184,plain,
% 0.19/0.37 (((p_1 | (~p_4) | (~p_3) | (~p_2)) | p_5) <=> (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(185,plain,
% 0.19/0.37 (((p_1 | (~p_3) | (~p_2)) | (~p_4)) <=> (p_1 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(186,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)],[127])).
% 0.19/0.37 tff(187,plain,
% 0.19/0.37 ((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) <=> (p_1 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[186, 185])).
% 0.19/0.37 tff(188,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> ((p_1 | (~p_4) | (~p_3) | (~p_2)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[187])).
% 0.19/0.37 tff(189,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[188, 184])).
% 0.19/0.37 tff(190,axiom,((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnnnp')).
% 0.19/0.37 tff(191,plain,
% 0.19/0.37 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.19/0.37 tff(192,plain,
% 0.19/0.37 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[191, 183])).
% 0.19/0.37 tff(193,plain,
% 0.19/0.37 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[192, 183])).
% 0.19/0.37 tff(194,plain,
% 0.19/0.37 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[193, 183])).
% 0.19/0.37 tff(195,plain,
% 0.19/0.37 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[194, 183])).
% 0.19/0.37 tff(196,plain,
% 0.19/0.37 (p_1 | p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[195, 183])).
% 0.19/0.37 tff(197,plain,
% 0.19/0.37 (p_5),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[196, 182, 4, 99, 153])).
% 0.19/0.37 tff(198,plain,
% 0.19/0.37 ((p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)) <=> (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(199,plain,
% 0.19/0.37 (((p_1 | (~p_4) | (~p_3) | (~p_2)) | (~p_5)) <=> (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(200,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((p_1 | (~p_4) | (~p_3) | (~p_2)) | (~p_5))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[187])).
% 0.19/0.37 tff(201,plain,
% 0.19/0.37 (((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2))),
% 0.19/0.37 inference(transitivity,[status(thm)],[200, 199])).
% 0.19/0.37 tff(202,axiom,((((p_1 | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pnnnn')).
% 0.19/0.37 tff(203,plain,
% 0.19/0.37 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.19/0.37 tff(204,plain,
% 0.19/0.37 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[203, 198])).
% 0.19/0.37 tff(205,plain,
% 0.19/0.37 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[204, 198])).
% 0.19/0.37 tff(206,plain,
% 0.19/0.37 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[205, 198])).
% 0.19/0.37 tff(207,plain,
% 0.19/0.37 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[206, 198])).
% 0.19/0.37 tff(208,plain,
% 0.19/0.37 (p_1 | (~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[207, 198])).
% 0.19/0.37 tff(209,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[208, 197, 182, 4, 99, 153])).
% 0.19/0.37 tff(210,plain,(p_1), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(211,plain,
% 0.19/0.37 (((p_2 | p_3 | p_4 | (~p_1)) | p_5) <=> (p_2 | p_3 | p_4 | p_5 | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(212,plain,
% 0.19/0.37 (((p_2 | p_3 | (~p_1)) | p_4) <=> (p_2 | p_3 | p_4 | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(213,plain,
% 0.19/0.37 (((p_2 | (~p_1)) | p_3) <=> (p_2 | p_3 | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(214,plain,
% 0.19/0.37 (((~p_1) | p_2) <=> (p_2 | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(215,plain,
% 0.19/0.37 ((((~p_1) | p_2) | p_3) <=> ((p_2 | (~p_1)) | p_3)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[214])).
% 0.19/0.37 tff(216,plain,
% 0.19/0.37 ((((~p_1) | p_2) | p_3) <=> (p_2 | p_3 | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[215, 213])).
% 0.19/0.37 tff(217,plain,
% 0.19/0.37 (((((~p_1) | p_2) | p_3) | p_4) <=> ((p_2 | p_3 | (~p_1)) | p_4)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[216])).
% 0.19/0.37 tff(218,plain,
% 0.19/0.37 (((((~p_1) | p_2) | p_3) | p_4) <=> (p_2 | p_3 | p_4 | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[217, 212])).
% 0.19/0.37 tff(219,plain,
% 0.19/0.37 ((((((~p_1) | p_2) | p_3) | p_4) | p_5) <=> ((p_2 | p_3 | p_4 | (~p_1)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[218])).
% 0.19/0.37 tff(220,plain,
% 0.19/0.37 ((((((~p_1) | p_2) | p_3) | p_4) | p_5) <=> (p_2 | p_3 | p_4 | p_5 | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[219, 211])).
% 0.19/0.37 tff(221,axiom,(((((~p_1) | p_2) | p_3) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','npppp')).
% 0.19/0.37 tff(222,plain,
% 0.19/0.37 (p_2 | p_3 | p_4 | p_5 | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.19/0.37 tff(223,plain,
% 0.19/0.37 (p_2 | p_3 | p_4 | p_5),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[222, 210])).
% 0.19/0.37 tff(224,plain,
% 0.19/0.37 (p_2),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[223, 3, 2, 1])).
% 0.19/0.37 tff(225,plain,
% 0.19/0.37 ((p_3 | p_4 | p_5 | (~p_2) | (~p_1)) <=> (p_3 | p_4 | p_5 | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(226,plain,
% 0.19/0.37 (((p_3 | p_4 | (~p_2) | (~p_1)) | p_5) <=> (p_3 | p_4 | p_5 | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(227,plain,
% 0.19/0.37 (((p_3 | (~p_2) | (~p_1)) | p_4) <=> (p_3 | p_4 | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(228,plain,
% 0.19/0.37 ((((~p_1) | (~p_2)) | p_3) <=> (p_3 | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(229,plain,
% 0.19/0.37 (((((~p_1) | (~p_2)) | p_3) | p_4) <=> ((p_3 | (~p_2) | (~p_1)) | p_4)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[228])).
% 0.19/0.37 tff(230,plain,
% 0.19/0.37 (((((~p_1) | (~p_2)) | p_3) | p_4) <=> (p_3 | p_4 | (~p_2) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[229, 227])).
% 0.19/0.37 tff(231,plain,
% 0.19/0.37 ((((((~p_1) | (~p_2)) | p_3) | p_4) | p_5) <=> ((p_3 | p_4 | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[230])).
% 0.19/0.37 tff(232,plain,
% 0.19/0.37 ((((((~p_1) | (~p_2)) | p_3) | p_4) | p_5) <=> (p_3 | p_4 | p_5 | (~p_2) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[231, 226])).
% 0.19/0.37 tff(233,axiom,(((((~p_1) | (~p_2)) | p_3) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnppp')).
% 0.19/0.37 tff(234,plain,
% 0.19/0.37 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.19/0.37 tff(235,plain,
% 0.19/0.37 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[234, 225])).
% 0.19/0.37 tff(236,plain,
% 0.19/0.37 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[235, 225])).
% 0.19/0.37 tff(237,plain,
% 0.19/0.37 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[236, 225])).
% 0.19/0.37 tff(238,plain,
% 0.19/0.37 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[237, 225])).
% 0.19/0.37 tff(239,plain,
% 0.19/0.37 (p_3 | p_4 | p_5 | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[238, 225])).
% 0.19/0.37 tff(240,plain,
% 0.19/0.37 (p_3 | p_4 | p_5 | (~p_2)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[239, 210])).
% 0.19/0.37 tff(241,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[240, 224, 3, 2, 1])).
% 0.19/0.37 tff(242,plain,(p_4 | p_3 | p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(243,plain,
% 0.19/0.37 (p_4),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[242, 2, 1])).
% 0.19/0.37 tff(244,plain,
% 0.19/0.37 ((p_2 | p_3 | p_5 | (~p_4) | (~p_1)) <=> (p_2 | p_3 | p_5 | (~p_4) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(245,plain,
% 0.19/0.37 (((p_2 | p_3 | (~p_4) | (~p_1)) | p_5) <=> (p_2 | p_3 | p_5 | (~p_4) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(246,plain,
% 0.19/0.37 (((p_2 | p_3 | (~p_1)) | (~p_4)) <=> (p_2 | p_3 | (~p_4) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(247,plain,
% 0.19/0.37 (((((~p_1) | p_2) | p_3) | (~p_4)) <=> ((p_2 | p_3 | (~p_1)) | (~p_4))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[216])).
% 0.19/0.37 tff(248,plain,
% 0.19/0.37 (((((~p_1) | p_2) | p_3) | (~p_4)) <=> (p_2 | p_3 | (~p_4) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[247, 246])).
% 0.19/0.37 tff(249,plain,
% 0.19/0.37 ((((((~p_1) | p_2) | p_3) | (~p_4)) | p_5) <=> ((p_2 | p_3 | (~p_4) | (~p_1)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[248])).
% 0.19/0.37 tff(250,plain,
% 0.19/0.37 ((((((~p_1) | p_2) | p_3) | (~p_4)) | p_5) <=> (p_2 | p_3 | p_5 | (~p_4) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[249, 245])).
% 0.19/0.37 tff(251,axiom,(((((~p_1) | p_2) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nppnp')).
% 0.19/0.37 tff(252,plain,
% 0.19/0.37 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.19/0.37 tff(253,plain,
% 0.19/0.37 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[252, 244])).
% 0.19/0.37 tff(254,plain,
% 0.19/0.37 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[253, 244])).
% 0.19/0.37 tff(255,plain,
% 0.19/0.37 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[254, 244])).
% 0.19/0.37 tff(256,plain,
% 0.19/0.37 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[255, 244])).
% 0.19/0.37 tff(257,plain,
% 0.19/0.37 (p_2 | p_3 | p_5 | (~p_4) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[256, 244])).
% 0.19/0.37 tff(258,plain,
% 0.19/0.37 (p_2 | p_3 | p_5 | (~p_4)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[257, 210])).
% 0.19/0.37 tff(259,plain,
% 0.19/0.37 (p_2),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[258, 243, 2, 1])).
% 0.19/0.37 tff(260,plain,
% 0.19/0.37 ((p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)) <=> (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(261,plain,
% 0.19/0.37 (((p_3 | (~p_4) | (~p_2) | (~p_1)) | p_5) <=> (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(262,plain,
% 0.19/0.37 (((p_3 | (~p_2) | (~p_1)) | (~p_4)) <=> (p_3 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(263,plain,
% 0.19/0.37 (((((~p_1) | (~p_2)) | p_3) | (~p_4)) <=> ((p_3 | (~p_2) | (~p_1)) | (~p_4))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[228])).
% 0.19/0.37 tff(264,plain,
% 0.19/0.37 (((((~p_1) | (~p_2)) | p_3) | (~p_4)) <=> (p_3 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[263, 262])).
% 0.19/0.37 tff(265,plain,
% 0.19/0.37 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | p_5) <=> ((p_3 | (~p_4) | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[264])).
% 0.19/0.37 tff(266,plain,
% 0.19/0.37 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | p_5) <=> (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[265, 261])).
% 0.19/0.37 tff(267,axiom,(((((~p_1) | (~p_2)) | p_3) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnpnp')).
% 0.19/0.37 tff(268,plain,
% 0.19/0.37 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[267, 266])).
% 0.19/0.37 tff(269,plain,
% 0.19/0.37 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[268, 260])).
% 0.19/0.37 tff(270,plain,
% 0.19/0.37 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[269, 260])).
% 0.19/0.37 tff(271,plain,
% 0.19/0.37 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[270, 260])).
% 0.19/0.37 tff(272,plain,
% 0.19/0.37 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[271, 260])).
% 0.19/0.37 tff(273,plain,
% 0.19/0.37 (p_3 | p_5 | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[272, 260])).
% 0.19/0.37 tff(274,plain,
% 0.19/0.37 (p_3 | p_5 | (~p_4) | (~p_2)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[273, 210])).
% 0.19/0.37 tff(275,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[274, 259, 243, 2, 1])).
% 0.19/0.37 tff(276,plain,(p_3 | p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(277,plain,
% 0.19/0.37 (p_3),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[276, 1])).
% 0.19/0.37 tff(278,plain,
% 0.19/0.37 ((p_2 | p_4 | p_5 | (~p_3) | (~p_1)) <=> (p_2 | p_4 | p_5 | (~p_3) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(279,plain,
% 0.19/0.37 (((p_2 | p_4 | (~p_3) | (~p_1)) | p_5) <=> (p_2 | p_4 | p_5 | (~p_3) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(280,plain,
% 0.19/0.37 (((p_2 | (~p_3) | (~p_1)) | p_4) <=> (p_2 | p_4 | (~p_3) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(281,plain,
% 0.19/0.37 (((p_2 | (~p_1)) | (~p_3)) <=> (p_2 | (~p_3) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(282,plain,
% 0.19/0.37 ((((~p_1) | p_2) | (~p_3)) <=> ((p_2 | (~p_1)) | (~p_3))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[214])).
% 0.19/0.37 tff(283,plain,
% 0.19/0.37 ((((~p_1) | p_2) | (~p_3)) <=> (p_2 | (~p_3) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[282, 281])).
% 0.19/0.37 tff(284,plain,
% 0.19/0.37 (((((~p_1) | p_2) | (~p_3)) | p_4) <=> ((p_2 | (~p_3) | (~p_1)) | p_4)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[283])).
% 0.19/0.37 tff(285,plain,
% 0.19/0.37 (((((~p_1) | p_2) | (~p_3)) | p_4) <=> (p_2 | p_4 | (~p_3) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[284, 280])).
% 0.19/0.37 tff(286,plain,
% 0.19/0.37 ((((((~p_1) | p_2) | (~p_3)) | p_4) | p_5) <=> ((p_2 | p_4 | (~p_3) | (~p_1)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[285])).
% 0.19/0.37 tff(287,plain,
% 0.19/0.37 ((((((~p_1) | p_2) | (~p_3)) | p_4) | p_5) <=> (p_2 | p_4 | p_5 | (~p_3) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[286, 279])).
% 0.19/0.37 tff(288,axiom,(((((~p_1) | p_2) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','npnpp')).
% 0.19/0.37 tff(289,plain,
% 0.19/0.37 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.19/0.37 tff(290,plain,
% 0.19/0.37 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[289, 278])).
% 0.19/0.37 tff(291,plain,
% 0.19/0.37 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[290, 278])).
% 0.19/0.37 tff(292,plain,
% 0.19/0.37 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[291, 278])).
% 0.19/0.37 tff(293,plain,
% 0.19/0.37 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[292, 278])).
% 0.19/0.37 tff(294,plain,
% 0.19/0.37 (p_2 | p_4 | p_5 | (~p_3) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[293, 278])).
% 0.19/0.37 tff(295,plain,
% 0.19/0.37 (p_2 | p_4 | p_5 | (~p_3)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[294, 210])).
% 0.19/0.37 tff(296,plain,
% 0.19/0.37 (p_2),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[295, 3, 277, 1])).
% 0.19/0.37 tff(297,plain,
% 0.19/0.37 ((p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)) <=> (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(298,plain,
% 0.19/0.37 (((p_4 | (~p_3) | (~p_2) | (~p_1)) | p_5) <=> (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(299,plain,
% 0.19/0.37 ((((~p_3) | (~p_2) | (~p_1)) | p_4) <=> (p_4 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(300,plain,
% 0.19/0.37 ((((~p_1) | (~p_2)) | (~p_3)) <=> ((~p_3) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(301,plain,
% 0.19/0.37 (((((~p_1) | (~p_2)) | (~p_3)) | p_4) <=> (((~p_3) | (~p_2) | (~p_1)) | p_4)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[300])).
% 0.19/0.37 tff(302,plain,
% 0.19/0.37 (((((~p_1) | (~p_2)) | (~p_3)) | p_4) <=> (p_4 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[301, 299])).
% 0.19/0.37 tff(303,plain,
% 0.19/0.37 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | p_5) <=> ((p_4 | (~p_3) | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.37 inference(monotonicity,[status(thm)],[302])).
% 0.19/0.37 tff(304,plain,
% 0.19/0.37 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | p_5) <=> (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.37 inference(transitivity,[status(thm)],[303, 298])).
% 0.19/0.37 tff(305,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | p_4) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnnpp')).
% 0.19/0.37 tff(306,plain,
% 0.19/0.37 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[305, 304])).
% 0.19/0.37 tff(307,plain,
% 0.19/0.37 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[306, 297])).
% 0.19/0.37 tff(308,plain,
% 0.19/0.37 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[307, 297])).
% 0.19/0.37 tff(309,plain,
% 0.19/0.37 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[308, 297])).
% 0.19/0.38 tff(310,plain,
% 0.19/0.38 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[309, 297])).
% 0.19/0.38 tff(311,plain,
% 0.19/0.38 (p_4 | p_5 | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[310, 297])).
% 0.19/0.38 tff(312,plain,
% 0.19/0.38 (p_4 | p_5 | (~p_3) | (~p_2)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[311, 210])).
% 0.19/0.38 tff(313,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[312, 296, 3, 277, 1])).
% 0.19/0.38 tff(314,plain,(p_4 | p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(315,plain,
% 0.19/0.38 (p_4),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[314, 1])).
% 0.19/0.38 tff(316,plain,
% 0.19/0.38 ((p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)) <=> (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(317,plain,
% 0.19/0.38 (((p_2 | (~p_4) | (~p_3) | (~p_1)) | p_5) <=> (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(318,plain,
% 0.19/0.38 (((p_2 | (~p_3) | (~p_1)) | (~p_4)) <=> (p_2 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(319,plain,
% 0.19/0.38 (((((~p_1) | p_2) | (~p_3)) | (~p_4)) <=> ((p_2 | (~p_3) | (~p_1)) | (~p_4))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[283])).
% 0.19/0.38 tff(320,plain,
% 0.19/0.38 (((((~p_1) | p_2) | (~p_3)) | (~p_4)) <=> (p_2 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[319, 318])).
% 0.19/0.38 tff(321,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | p_5) <=> ((p_2 | (~p_4) | (~p_3) | (~p_1)) | p_5)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[320])).
% 0.19/0.38 tff(322,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | p_5) <=> (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[321, 317])).
% 0.19/0.38 tff(323,axiom,(((((~p_1) | p_2) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','npnnp')).
% 0.19/0.38 tff(324,plain,
% 0.19/0.38 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[323, 322])).
% 0.19/0.38 tff(325,plain,
% 0.19/0.38 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[324, 316])).
% 0.19/0.38 tff(326,plain,
% 0.19/0.38 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[325, 316])).
% 0.19/0.38 tff(327,plain,
% 0.19/0.38 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[326, 316])).
% 0.19/0.38 tff(328,plain,
% 0.19/0.38 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[327, 316])).
% 0.19/0.38 tff(329,plain,
% 0.19/0.38 (p_2 | p_5 | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[328, 316])).
% 0.19/0.38 tff(330,plain,
% 0.19/0.38 (p_2 | p_5 | (~p_4) | (~p_3)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[329, 210])).
% 0.19/0.38 tff(331,plain,
% 0.19/0.38 (p_2),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[330, 315, 277, 1])).
% 0.19/0.38 tff(332,plain,
% 0.19/0.38 ((p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)) <=> (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(333,plain,
% 0.19/0.38 ((((~p_4) | (~p_3) | (~p_2) | (~p_1)) | p_5) <=> (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(334,plain,
% 0.19/0.38 ((((~p_3) | (~p_2) | (~p_1)) | (~p_4)) <=> ((~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(335,plain,
% 0.19/0.38 (((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) <=> (((~p_3) | (~p_2) | (~p_1)) | (~p_4))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[300])).
% 0.19/0.38 tff(336,plain,
% 0.19/0.38 (((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) <=> ((~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[335, 334])).
% 0.19/0.38 tff(337,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> (((~p_4) | (~p_3) | (~p_2) | (~p_1)) | p_5)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[336])).
% 0.19/0.38 tff(338,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | p_5) <=> (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[337, 333])).
% 0.19/0.38 tff(339,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | p_5), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnnnp')).
% 0.19/0.38 tff(340,plain,
% 0.19/0.38 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.19/0.38 tff(341,plain,
% 0.19/0.38 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[340, 332])).
% 0.19/0.38 tff(342,plain,
% 0.19/0.38 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[341, 332])).
% 0.19/0.38 tff(343,plain,
% 0.19/0.38 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[342, 332])).
% 0.19/0.38 tff(344,plain,
% 0.19/0.38 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[343, 332])).
% 0.19/0.38 tff(345,plain,
% 0.19/0.38 (p_5 | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[344, 332])).
% 0.19/0.38 tff(346,plain,
% 0.19/0.38 (p_5 | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[345, 210])).
% 0.19/0.38 tff(347,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[346, 331, 315, 277, 1])).
% 0.19/0.38 tff(348,plain,(p_5), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(349,plain,
% 0.19/0.38 ((p_2 | p_3 | p_4 | (~p_5) | (~p_1)) <=> (p_2 | p_3 | p_4 | (~p_5) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(350,plain,
% 0.19/0.38 (((p_2 | p_3 | p_4 | (~p_1)) | (~p_5)) <=> (p_2 | p_3 | p_4 | (~p_5) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(351,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | p_3) | p_4) | (~p_5)) <=> ((p_2 | p_3 | p_4 | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[218])).
% 0.19/0.38 tff(352,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | p_3) | p_4) | (~p_5)) <=> (p_2 | p_3 | p_4 | (~p_5) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[351, 350])).
% 0.19/0.38 tff(353,axiom,(((((~p_1) | p_2) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','npppn')).
% 0.19/0.38 tff(354,plain,
% 0.19/0.38 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[353, 352])).
% 0.19/0.38 tff(355,plain,
% 0.19/0.38 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[354, 349])).
% 0.19/0.38 tff(356,plain,
% 0.19/0.38 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[355, 349])).
% 0.19/0.38 tff(357,plain,
% 0.19/0.38 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[356, 349])).
% 0.19/0.38 tff(358,plain,
% 0.19/0.38 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[357, 349])).
% 0.19/0.38 tff(359,plain,
% 0.19/0.38 (p_2 | p_3 | p_4 | (~p_5) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[358, 349])).
% 0.19/0.38 tff(360,plain,
% 0.19/0.38 (p_2 | p_3 | p_4 | (~p_5)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[359, 210])).
% 0.19/0.38 tff(361,plain,
% 0.19/0.38 (p_2),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[360, 3, 2, 348])).
% 0.19/0.38 tff(362,plain,
% 0.19/0.38 ((p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)) <=> (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(363,plain,
% 0.19/0.38 (((p_3 | p_4 | (~p_2) | (~p_1)) | (~p_5)) <=> (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(364,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | p_3) | p_4) | (~p_5)) <=> ((p_3 | p_4 | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[230])).
% 0.19/0.38 tff(365,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | p_3) | p_4) | (~p_5)) <=> (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[364, 363])).
% 0.19/0.38 tff(366,axiom,(((((~p_1) | (~p_2)) | p_3) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnppn')).
% 0.19/0.38 tff(367,plain,
% 0.19/0.38 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[366, 365])).
% 0.19/0.38 tff(368,plain,
% 0.19/0.38 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[367, 362])).
% 0.19/0.38 tff(369,plain,
% 0.19/0.38 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[368, 362])).
% 0.19/0.38 tff(370,plain,
% 0.19/0.38 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[369, 362])).
% 0.19/0.38 tff(371,plain,
% 0.19/0.38 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[370, 362])).
% 0.19/0.38 tff(372,plain,
% 0.19/0.38 (p_3 | p_4 | (~p_5) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[371, 362])).
% 0.19/0.38 tff(373,plain,
% 0.19/0.38 (p_3 | p_4 | (~p_5) | (~p_2)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[372, 210])).
% 0.19/0.38 tff(374,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[373, 361, 3, 2, 348])).
% 0.19/0.38 tff(375,plain,(p_4 | p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(376,plain,
% 0.19/0.38 (p_4),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[375, 2])).
% 0.19/0.38 tff(377,plain,
% 0.19/0.38 ((p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)) <=> (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(378,plain,
% 0.19/0.38 (((p_2 | p_3 | (~p_4) | (~p_1)) | (~p_5)) <=> (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(379,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | p_3) | (~p_4)) | (~p_5)) <=> ((p_2 | p_3 | (~p_4) | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[248])).
% 0.19/0.38 tff(380,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | p_3) | (~p_4)) | (~p_5)) <=> (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[379, 378])).
% 0.19/0.38 tff(381,axiom,(((((~p_1) | p_2) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nppnn')).
% 0.19/0.38 tff(382,plain,
% 0.19/0.38 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[381, 380])).
% 0.19/0.38 tff(383,plain,
% 0.19/0.38 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[382, 377])).
% 0.19/0.38 tff(384,plain,
% 0.19/0.38 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[383, 377])).
% 0.19/0.38 tff(385,plain,
% 0.19/0.38 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[384, 377])).
% 0.19/0.38 tff(386,plain,
% 0.19/0.38 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[385, 377])).
% 0.19/0.38 tff(387,plain,
% 0.19/0.38 (p_2 | p_3 | (~p_5) | (~p_4) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[386, 377])).
% 0.19/0.38 tff(388,plain,
% 0.19/0.38 (p_2 | p_3 | (~p_5) | (~p_4)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[387, 210])).
% 0.19/0.38 tff(389,plain,
% 0.19/0.38 (p_2),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[388, 376, 2, 348])).
% 0.19/0.38 tff(390,plain,
% 0.19/0.38 ((p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)) <=> (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(391,plain,
% 0.19/0.38 (((p_3 | (~p_4) | (~p_2) | (~p_1)) | (~p_5)) <=> (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(392,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> ((p_3 | (~p_4) | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[264])).
% 0.19/0.38 tff(393,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | p_3) | (~p_4)) | (~p_5)) <=> (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[392, 391])).
% 0.19/0.38 tff(394,axiom,(((((~p_1) | (~p_2)) | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnpnn')).
% 0.19/0.38 tff(395,plain,
% 0.19/0.38 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[394, 393])).
% 0.19/0.38 tff(396,plain,
% 0.19/0.38 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[395, 390])).
% 0.19/0.38 tff(397,plain,
% 0.19/0.38 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[396, 390])).
% 0.19/0.38 tff(398,plain,
% 0.19/0.38 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[397, 390])).
% 0.19/0.38 tff(399,plain,
% 0.19/0.38 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[398, 390])).
% 0.19/0.38 tff(400,plain,
% 0.19/0.38 (p_3 | (~p_5) | (~p_4) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[399, 390])).
% 0.19/0.38 tff(401,plain,
% 0.19/0.38 (p_3 | (~p_5) | (~p_4) | (~p_2)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[400, 210])).
% 0.19/0.38 tff(402,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[401, 389, 376, 2, 348])).
% 0.19/0.38 tff(403,plain,(p_3), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(404,plain,
% 0.19/0.38 ((p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)) <=> (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(405,plain,
% 0.19/0.38 (((p_2 | p_4 | (~p_3) | (~p_1)) | (~p_5)) <=> (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(406,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | (~p_3)) | p_4) | (~p_5)) <=> ((p_2 | p_4 | (~p_3) | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[285])).
% 0.19/0.38 tff(407,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | (~p_3)) | p_4) | (~p_5)) <=> (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[406, 405])).
% 0.19/0.38 tff(408,axiom,(((((~p_1) | p_2) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','npnpn')).
% 0.19/0.38 tff(409,plain,
% 0.19/0.38 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[408, 407])).
% 0.19/0.38 tff(410,plain,
% 0.19/0.38 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[409, 404])).
% 0.19/0.38 tff(411,plain,
% 0.19/0.38 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[410, 404])).
% 0.19/0.38 tff(412,plain,
% 0.19/0.38 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[411, 404])).
% 0.19/0.38 tff(413,plain,
% 0.19/0.38 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[412, 404])).
% 0.19/0.38 tff(414,plain,
% 0.19/0.38 (p_2 | p_4 | (~p_5) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[413, 404])).
% 0.19/0.38 tff(415,plain,
% 0.19/0.38 (p_2 | p_4 | (~p_5) | (~p_3)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[414, 210])).
% 0.19/0.38 tff(416,plain,
% 0.19/0.38 (p_2),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[415, 3, 403, 348])).
% 0.19/0.38 tff(417,plain,
% 0.19/0.38 ((p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)) <=> (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(418,plain,
% 0.19/0.38 (((p_4 | (~p_3) | (~p_2) | (~p_1)) | (~p_5)) <=> (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(419,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> ((p_4 | (~p_3) | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[302])).
% 0.19/0.38 tff(420,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | (~p_3)) | p_4) | (~p_5)) <=> (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[419, 418])).
% 0.19/0.38 tff(421,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | p_4) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnnpn')).
% 0.19/0.38 tff(422,plain,
% 0.19/0.38 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.19/0.38 tff(423,plain,
% 0.19/0.38 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[422, 417])).
% 0.19/0.38 tff(424,plain,
% 0.19/0.38 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[423, 417])).
% 0.19/0.38 tff(425,plain,
% 0.19/0.38 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[424, 417])).
% 0.19/0.38 tff(426,plain,
% 0.19/0.38 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[425, 417])).
% 0.19/0.38 tff(427,plain,
% 0.19/0.38 (p_4 | (~p_5) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[426, 417])).
% 0.19/0.38 tff(428,plain,
% 0.19/0.38 (p_4 | (~p_5) | (~p_3) | (~p_2)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[427, 210])).
% 0.19/0.38 tff(429,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[428, 416, 3, 403, 348])).
% 0.19/0.38 tff(430,plain,(p_4), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(431,plain,
% 0.19/0.38 ((p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)) <=> (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(432,plain,
% 0.19/0.38 (((p_2 | (~p_4) | (~p_3) | (~p_1)) | (~p_5)) <=> (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(433,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((p_2 | (~p_4) | (~p_3) | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[320])).
% 0.19/0.38 tff(434,plain,
% 0.19/0.38 ((((((~p_1) | p_2) | (~p_3)) | (~p_4)) | (~p_5)) <=> (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[433, 432])).
% 0.19/0.38 tff(435,axiom,(((((~p_1) | p_2) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','npnnn')).
% 0.19/0.38 tff(436,plain,
% 0.19/0.38 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.19/0.38 tff(437,plain,
% 0.19/0.38 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[436, 431])).
% 0.19/0.38 tff(438,plain,
% 0.19/0.38 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[437, 431])).
% 0.19/0.38 tff(439,plain,
% 0.19/0.38 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[438, 431])).
% 0.19/0.38 tff(440,plain,
% 0.19/0.38 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[439, 431])).
% 0.19/0.38 tff(441,plain,
% 0.19/0.38 (p_2 | (~p_5) | (~p_4) | (~p_3) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[440, 431])).
% 0.19/0.38 tff(442,plain,
% 0.19/0.38 (p_2 | (~p_5) | (~p_4) | (~p_3)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[441, 210])).
% 0.19/0.38 tff(443,plain,
% 0.19/0.38 (p_2),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[442, 430, 403, 348])).
% 0.19/0.38 tff(444,plain,
% 0.19/0.38 (((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)) <=> ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(445,plain,
% 0.19/0.38 ((((~p_4) | (~p_3) | (~p_2) | (~p_1)) | (~p_5)) <=> ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(446,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> (((~p_4) | (~p_3) | (~p_2) | (~p_1)) | (~p_5))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[336])).
% 0.19/0.38 tff(447,plain,
% 0.19/0.38 ((((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)) <=> ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[446, 445])).
% 0.19/0.38 tff(448,axiom,(((((~p_1) | (~p_2)) | (~p_3)) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','nnnnn')).
% 0.19/0.38 tff(449,plain,
% 0.19/0.38 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[448, 447])).
% 0.19/0.38 tff(450,plain,
% 0.19/0.38 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[449, 444])).
% 0.19/0.38 tff(451,plain,
% 0.19/0.38 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[450, 444])).
% 0.19/0.38 tff(452,plain,
% 0.19/0.38 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[451, 444])).
% 0.19/0.38 tff(453,plain,
% 0.19/0.38 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[452, 444])).
% 0.19/0.38 tff(454,plain,
% 0.19/0.38 ((~p_5) | (~p_4) | (~p_3) | (~p_2) | (~p_1)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[453, 444])).
% 0.19/0.38 tff(455,plain,
% 0.19/0.38 ((~p_5) | (~p_4) | (~p_3) | (~p_2)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[454, 210])).
% 0.19/0.38 tff(456,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[455, 443, 430, 403, 348])).
% 0.19/0.38 % SZS output end Proof
%------------------------------------------------------------------------------