TSTP Solution File: SYN094-1.005 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 23:53:43 EDT 2022
% Result : Unsatisfiable 0.21s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 01:42:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.21/0.39 % SZS status Unsatisfiable
% 0.21/0.39 % SZS output start Proof
% 0.21/0.39 tff(p_4_type, type, (
% 0.21/0.39 p_4: $o)).
% 0.21/0.39 tff(q_6_type, type, (
% 0.21/0.39 q_6: $o)).
% 0.21/0.39 tff(u_31_type, type, (
% 0.21/0.39 u_31: $o)).
% 0.21/0.39 tff(q_7_type, type, (
% 0.21/0.39 q_7: $o)).
% 0.21/0.39 tff(q_9_type, type, (
% 0.21/0.39 q_9: $o)).
% 0.21/0.39 tff(u_41_type, type, (
% 0.21/0.39 u_41: $o)).
% 0.21/0.39 tff(u_32_type, type, (
% 0.21/0.39 u_32: $o)).
% 0.21/0.39 tff(p_8_type, type, (
% 0.21/0.39 p_8: $o)).
% 0.21/0.39 tff(u_38_type, type, (
% 0.21/0.39 u_38: $o)).
% 0.21/0.39 tff(u_11_type, type, (
% 0.21/0.39 u_11: $o)).
% 0.21/0.39 tff(q_5_type, type, (
% 0.21/0.39 q_5: $o)).
% 0.21/0.39 tff(p_6_type, type, (
% 0.21/0.39 p_6: $o)).
% 0.21/0.39 tff(q_8_type, type, (
% 0.21/0.39 q_8: $o)).
% 0.21/0.39 tff(u_40_type, type, (
% 0.21/0.39 u_40: $o)).
% 0.21/0.39 tff(u_15_type, type, (
% 0.21/0.39 u_15: $o)).
% 0.21/0.39 tff(u_28_type, type, (
% 0.21/0.39 u_28: $o)).
% 0.21/0.39 tff(q_3_type, type, (
% 0.21/0.39 q_3: $o)).
% 0.21/0.39 tff(u_24_type, type, (
% 0.21/0.39 u_24: $o)).
% 0.21/0.39 tff(p_3_type, type, (
% 0.21/0.39 p_3: $o)).
% 0.21/0.39 tff(p_5_type, type, (
% 0.21/0.39 p_5: $o)).
% 0.21/0.39 tff(u_13_type, type, (
% 0.21/0.39 u_13: $o)).
% 0.21/0.39 tff(u_8_type, type, (
% 0.21/0.39 u_8: $o)).
% 0.21/0.39 tff(p_1_type, type, (
% 0.21/0.39 p_1: $o)).
% 0.21/0.39 tff(q_0_type, type, (
% 0.21/0.39 q_0: $o)).
% 0.21/0.39 tff(p_0_type, type, (
% 0.21/0.39 p_0: $o)).
% 0.21/0.39 tff(q_1_type, type, (
% 0.21/0.39 q_1: $o)).
% 0.21/0.39 tff(q_2_type, type, (
% 0.21/0.39 q_2: $o)).
% 0.21/0.39 tff(u_23_type, type, (
% 0.21/0.39 u_23: $o)).
% 0.21/0.39 tff(u_21_type, type, (
% 0.21/0.39 u_21: $o)).
% 0.21/0.39 tff(u_3_type, type, (
% 0.21/0.39 u_3: $o)).
% 0.21/0.39 tff(u_1_type, type, (
% 0.21/0.39 u_1: $o)).
% 0.21/0.39 tff(u_18_type, type, (
% 0.21/0.39 u_18: $o)).
% 0.21/0.39 tff(u_5_type, type, (
% 0.21/0.39 u_5: $o)).
% 0.21/0.39 tff(1,assumption,(~q_6), introduced(assumption)).
% 0.21/0.39 tff(2,assumption,(~q_9), introduced(assumption)).
% 0.21/0.39 tff(3,plain,
% 0.21/0.39 ((u_41 | q_9) <=> (q_9 | u_41)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(4,axiom,(u_41 | q_9), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_t3_4')).
% 0.21/0.39 tff(5,plain,
% 0.21/0.39 (q_9 | u_41),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.21/0.39 tff(6,plain,
% 0.21/0.39 (u_41),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[5, 2])).
% 0.21/0.39 tff(7,axiom,(q_9 | (~u_41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_41_t3_4')).
% 0.21/0.39 tff(8,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[7, 6, 2])).
% 0.21/0.39 tff(9,plain,(q_9), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(10,assumption,(q_9), introduced(assumption)).
% 0.21/0.39 tff(11,assumption,(~q_7), introduced(assumption)).
% 0.21/0.39 tff(12,axiom,(q_7 | (~u_32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_32_s3_type12_15')).
% 0.21/0.39 tff(13,plain,
% 0.21/0.39 (~u_32),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.21/0.39 tff(14,assumption,(~p_8), introduced(assumption)).
% 0.21/0.39 tff(15,plain,
% 0.21/0.39 ((u_38 | p_8) <=> (p_8 | u_38)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(16,axiom,(u_38 | p_8), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_t3_1')).
% 0.21/0.39 tff(17,plain,
% 0.21/0.39 (p_8 | u_38),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.21/0.39 tff(18,plain,
% 0.21/0.39 (u_38),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.21/0.39 tff(19,axiom,(p_8 | (~u_38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_38_t3_1')).
% 0.21/0.39 tff(20,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[19, 18, 14])).
% 0.21/0.39 tff(21,plain,(p_8), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(22,plain,
% 0.21/0.39 ((q_7 | (~p_8) | (~q_9) | u_32) <=> (q_7 | (~p_8) | (~q_9) | u_32)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(23,plain,
% 0.21/0.39 (((q_7 | (~p_8) | u_32) | (~q_9)) <=> (q_7 | (~p_8) | (~q_9) | u_32)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(24,plain,
% 0.21/0.39 (((q_7 | u_32) | (~p_8)) <=> (q_7 | (~p_8) | u_32)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(25,plain,
% 0.21/0.39 ((u_32 | q_7) <=> (q_7 | u_32)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(26,plain,
% 0.21/0.39 (((u_32 | q_7) | (~p_8)) <=> ((q_7 | u_32) | (~p_8))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[25])).
% 0.21/0.39 tff(27,plain,
% 0.21/0.39 (((u_32 | q_7) | (~p_8)) <=> (q_7 | (~p_8) | u_32)),
% 0.21/0.39 inference(transitivity,[status(thm)],[26, 24])).
% 0.21/0.39 tff(28,plain,
% 0.21/0.39 ((((u_32 | q_7) | (~p_8)) | (~q_9)) <=> ((q_7 | (~p_8) | u_32) | (~q_9))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[27])).
% 0.21/0.39 tff(29,plain,
% 0.21/0.39 ((((u_32 | q_7) | (~p_8)) | (~q_9)) <=> (q_7 | (~p_8) | (~q_9) | u_32)),
% 0.21/0.39 inference(transitivity,[status(thm)],[28, 23])).
% 0.21/0.39 tff(30,axiom,(((u_32 | q_7) | (~p_8)) | (~q_9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type12_15')).
% 0.21/0.39 tff(31,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.21/0.39 tff(32,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[31, 22])).
% 0.21/0.39 tff(33,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[32, 22])).
% 0.21/0.39 tff(34,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[33, 22])).
% 0.21/0.39 tff(35,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[34, 22])).
% 0.21/0.39 tff(36,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[35, 22])).
% 0.21/0.39 tff(37,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[36, 22])).
% 0.21/0.39 tff(38,plain,
% 0.21/0.39 (q_7 | (~p_8) | (~q_9) | u_32),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[37, 22])).
% 0.21/0.39 tff(39,plain,
% 0.21/0.39 (q_7 | (~q_9) | u_32),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[38, 21])).
% 0.21/0.39 tff(40,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[39, 13, 11, 10])).
% 0.21/0.39 tff(41,plain,(q_7 | (~q_9)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(42,plain,
% 0.21/0.39 (q_7),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[41, 9])).
% 0.21/0.39 tff(43,plain,
% 0.21/0.39 ((q_6 | (~q_7) | (~p_8) | u_31) <=> (q_6 | (~q_7) | (~p_8) | u_31)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(44,plain,
% 0.21/0.39 (((q_6 | (~q_7) | u_31) | (~p_8)) <=> (q_6 | (~q_7) | (~p_8) | u_31)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(45,plain,
% 0.21/0.39 (((q_6 | u_31) | (~q_7)) <=> (q_6 | (~q_7) | u_31)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(46,plain,
% 0.21/0.39 ((u_31 | q_6) <=> (q_6 | u_31)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(47,plain,
% 0.21/0.39 (((u_31 | q_6) | (~q_7)) <=> ((q_6 | u_31) | (~q_7))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[46])).
% 0.21/0.39 tff(48,plain,
% 0.21/0.39 (((u_31 | q_6) | (~q_7)) <=> (q_6 | (~q_7) | u_31)),
% 0.21/0.39 inference(transitivity,[status(thm)],[47, 45])).
% 0.21/0.39 tff(49,plain,
% 0.21/0.39 ((((u_31 | q_6) | (~q_7)) | (~p_8)) <=> ((q_6 | (~q_7) | u_31) | (~p_8))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[48])).
% 0.21/0.39 tff(50,plain,
% 0.21/0.39 ((((u_31 | q_6) | (~q_7)) | (~p_8)) <=> (q_6 | (~q_7) | (~p_8) | u_31)),
% 0.21/0.39 inference(transitivity,[status(thm)],[49, 44])).
% 0.21/0.39 tff(51,axiom,(((u_31 | q_6) | (~q_7)) | (~p_8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type12_14')).
% 0.21/0.39 tff(52,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.21/0.39 tff(53,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[52, 43])).
% 0.21/0.39 tff(54,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[53, 43])).
% 0.21/0.39 tff(55,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[54, 43])).
% 0.21/0.39 tff(56,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[55, 43])).
% 0.21/0.39 tff(57,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[56, 43])).
% 0.21/0.39 tff(58,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[57, 43])).
% 0.21/0.39 tff(59,plain,
% 0.21/0.39 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[58, 43])).
% 0.21/0.39 tff(60,plain,
% 0.21/0.39 (q_6 | (~q_7) | u_31),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[59, 21])).
% 0.21/0.39 tff(61,plain,
% 0.21/0.39 (u_31),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[60, 1, 42])).
% 0.21/0.39 tff(62,axiom,(q_6 | (~u_31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_31_s3_type12_14')).
% 0.21/0.39 tff(63,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[62, 61, 1])).
% 0.21/0.39 tff(64,plain,(q_6), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(65,assumption,(~p_4), introduced(assumption)).
% 0.21/0.39 tff(66,assumption,(q_6), introduced(assumption)).
% 0.21/0.39 tff(67,assumption,(~q_8), introduced(assumption)).
% 0.21/0.39 tff(68,plain,
% 0.21/0.39 ((u_40 | q_8) <=> (q_8 | u_40)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(69,axiom,(u_40 | q_8), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_t3_3')).
% 0.21/0.39 tff(70,plain,
% 0.21/0.39 (q_8 | u_40),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.21/0.39 tff(71,plain,
% 0.21/0.39 (u_40),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[70, 67])).
% 0.21/0.39 tff(72,axiom,(q_8 | (~u_40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_40_t3_3')).
% 0.21/0.39 tff(73,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[72, 71, 67])).
% 0.21/0.40 tff(74,plain,(q_8), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(75,assumption,(~p_6), introduced(assumption)).
% 0.21/0.40 tff(76,assumption,(q_8), introduced(assumption)).
% 0.21/0.40 tff(77,assumption,(q_7), introduced(assumption)).
% 0.21/0.40 tff(78,plain,
% 0.21/0.40 ((p_6 | (~q_7) | u_15 | (~q_8)) <=> (p_6 | (~q_7) | u_15 | (~q_8))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(79,plain,
% 0.21/0.40 (((p_6 | (~q_7) | u_15) | (~q_8)) <=> (p_6 | (~q_7) | u_15 | (~q_8))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(80,plain,
% 0.21/0.40 (((p_6 | u_15) | (~q_7)) <=> (p_6 | (~q_7) | u_15)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(81,plain,
% 0.21/0.40 ((u_15 | p_6) <=> (p_6 | u_15)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(82,plain,
% 0.21/0.40 (((u_15 | p_6) | (~q_7)) <=> ((p_6 | u_15) | (~q_7))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[81])).
% 0.21/0.40 tff(83,plain,
% 0.21/0.40 (((u_15 | p_6) | (~q_7)) <=> (p_6 | (~q_7) | u_15)),
% 0.21/0.40 inference(transitivity,[status(thm)],[82, 80])).
% 0.21/0.40 tff(84,plain,
% 0.21/0.40 ((((u_15 | p_6) | (~q_7)) | (~q_8)) <=> ((p_6 | (~q_7) | u_15) | (~q_8))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[83])).
% 0.21/0.40 tff(85,plain,
% 0.21/0.40 ((((u_15 | p_6) | (~q_7)) | (~q_8)) <=> (p_6 | (~q_7) | u_15 | (~q_8))),
% 0.21/0.40 inference(transitivity,[status(thm)],[84, 79])).
% 0.21/0.40 tff(86,axiom,(((u_15 | p_6) | (~q_7)) | (~q_8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type11_14')).
% 0.21/0.40 tff(87,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.21/0.40 tff(88,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[87, 78])).
% 0.21/0.40 tff(89,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.21/0.40 tff(90,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[89, 78])).
% 0.21/0.40 tff(91,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[90, 78])).
% 0.21/0.40 tff(92,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[91, 78])).
% 0.21/0.40 tff(93,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[92, 78])).
% 0.21/0.40 tff(94,plain,
% 0.21/0.40 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[93, 78])).
% 0.21/0.40 tff(95,plain,
% 0.21/0.40 (u_15),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[94, 75, 77, 76])).
% 0.21/0.40 tff(96,axiom,(p_6 | (~u_15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_15_s3_type11_14')).
% 0.21/0.40 tff(97,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[96, 95, 75])).
% 0.21/0.40 tff(98,plain,(p_6 | (~q_7) | (~q_8)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(99,plain,
% 0.21/0.40 (p_6),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[98, 74, 42])).
% 0.21/0.40 tff(100,assumption,(p_6), introduced(assumption)).
% 0.21/0.40 tff(101,assumption,(~q_5), introduced(assumption)).
% 0.21/0.40 tff(102,axiom,(q_5 | (~u_28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_28_s3_type12_11')).
% 0.21/0.40 tff(103,plain,
% 0.21/0.40 (~u_28),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[102, 101])).
% 0.21/0.40 tff(104,plain,
% 0.21/0.40 ((q_5 | (~p_6) | (~q_7) | u_28) <=> (q_5 | (~p_6) | (~q_7) | u_28)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(105,plain,
% 0.21/0.40 (((q_5 | (~p_6) | u_28) | (~q_7)) <=> (q_5 | (~p_6) | (~q_7) | u_28)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(106,plain,
% 0.21/0.40 (((q_5 | u_28) | (~p_6)) <=> (q_5 | (~p_6) | u_28)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(107,plain,
% 0.21/0.40 ((u_28 | q_5) <=> (q_5 | u_28)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(108,plain,
% 0.21/0.40 (((u_28 | q_5) | (~p_6)) <=> ((q_5 | u_28) | (~p_6))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[107])).
% 0.21/0.40 tff(109,plain,
% 0.21/0.40 (((u_28 | q_5) | (~p_6)) <=> (q_5 | (~p_6) | u_28)),
% 0.21/0.40 inference(transitivity,[status(thm)],[108, 106])).
% 0.21/0.40 tff(110,plain,
% 0.21/0.40 ((((u_28 | q_5) | (~p_6)) | (~q_7)) <=> ((q_5 | (~p_6) | u_28) | (~q_7))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[109])).
% 0.21/0.40 tff(111,plain,
% 0.21/0.40 ((((u_28 | q_5) | (~p_6)) | (~q_7)) <=> (q_5 | (~p_6) | (~q_7) | u_28)),
% 0.21/0.40 inference(transitivity,[status(thm)],[110, 105])).
% 0.21/0.40 tff(112,axiom,(((u_28 | q_5) | (~p_6)) | (~q_7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type12_11')).
% 0.21/0.40 tff(113,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.21/0.40 tff(114,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[113, 104])).
% 0.21/0.40 tff(115,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[114, 104])).
% 0.21/0.40 tff(116,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[115, 104])).
% 0.21/0.40 tff(117,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[116, 104])).
% 0.21/0.40 tff(118,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[117, 104])).
% 0.21/0.40 tff(119,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[118, 104])).
% 0.21/0.40 tff(120,plain,
% 0.21/0.40 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[119, 104])).
% 0.21/0.40 tff(121,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[120, 103, 101, 77, 100])).
% 0.21/0.40 tff(122,plain,(q_5 | (~q_7) | (~p_6)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(123,plain,
% 0.21/0.40 (q_5),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[122, 99, 42])).
% 0.21/0.40 tff(124,plain,
% 0.21/0.40 ((p_4 | (~q_5) | u_11 | (~q_6)) <=> (p_4 | (~q_5) | u_11 | (~q_6))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(125,plain,
% 0.21/0.40 (((p_4 | (~q_5) | u_11) | (~q_6)) <=> (p_4 | (~q_5) | u_11 | (~q_6))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(126,plain,
% 0.21/0.40 (((p_4 | u_11) | (~q_5)) <=> (p_4 | (~q_5) | u_11)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(127,plain,
% 0.21/0.40 ((u_11 | p_4) <=> (p_4 | u_11)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(128,plain,
% 0.21/0.40 (((u_11 | p_4) | (~q_5)) <=> ((p_4 | u_11) | (~q_5))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[127])).
% 0.21/0.40 tff(129,plain,
% 0.21/0.40 (((u_11 | p_4) | (~q_5)) <=> (p_4 | (~q_5) | u_11)),
% 0.21/0.40 inference(transitivity,[status(thm)],[128, 126])).
% 0.21/0.40 tff(130,plain,
% 0.21/0.40 ((((u_11 | p_4) | (~q_5)) | (~q_6)) <=> ((p_4 | (~q_5) | u_11) | (~q_6))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[129])).
% 0.21/0.40 tff(131,plain,
% 0.21/0.40 ((((u_11 | p_4) | (~q_5)) | (~q_6)) <=> (p_4 | (~q_5) | u_11 | (~q_6))),
% 0.21/0.40 inference(transitivity,[status(thm)],[130, 125])).
% 0.21/0.40 tff(132,axiom,(((u_11 | p_4) | (~q_5)) | (~q_6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type11_10')).
% 0.21/0.40 tff(133,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.21/0.40 tff(134,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[133, 124])).
% 0.21/0.40 tff(135,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[134, 124])).
% 0.21/0.40 tff(136,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[135, 124])).
% 0.21/0.40 tff(137,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[136, 124])).
% 0.21/0.40 tff(138,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[137, 124])).
% 0.21/0.40 tff(139,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[138, 124])).
% 0.21/0.40 tff(140,plain,
% 0.21/0.40 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[139, 124])).
% 0.21/0.40 tff(141,plain,
% 0.21/0.40 (u_11),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[140, 65, 123, 66])).
% 0.21/0.40 tff(142,axiom,(p_4 | (~u_11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_11_s3_type11_10')).
% 0.21/0.40 tff(143,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[142, 141, 65])).
% 0.21/0.40 tff(144,plain,(p_4 | (~q_6)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(145,plain,
% 0.21/0.40 (p_4),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[144, 64])).
% 0.21/0.40 tff(146,assumption,(p_4), introduced(assumption)).
% 0.21/0.40 tff(147,assumption,(~q_3), introduced(assumption)).
% 0.21/0.40 tff(148,axiom,(q_3 | (~u_24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_24_s3_type12_7')).
% 0.21/0.40 tff(149,plain,
% 0.21/0.40 (~u_24),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[148, 147])).
% 0.21/0.40 tff(150,plain,
% 0.21/0.40 ((q_3 | (~p_4) | (~q_5) | u_24) <=> (q_3 | (~p_4) | (~q_5) | u_24)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(151,plain,
% 0.21/0.40 (((q_3 | (~p_4) | u_24) | (~q_5)) <=> (q_3 | (~p_4) | (~q_5) | u_24)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(152,plain,
% 0.21/0.40 (((q_3 | u_24) | (~p_4)) <=> (q_3 | (~p_4) | u_24)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(153,plain,
% 0.21/0.40 ((u_24 | q_3) <=> (q_3 | u_24)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(154,plain,
% 0.21/0.40 (((u_24 | q_3) | (~p_4)) <=> ((q_3 | u_24) | (~p_4))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[153])).
% 0.21/0.40 tff(155,plain,
% 0.21/0.40 (((u_24 | q_3) | (~p_4)) <=> (q_3 | (~p_4) | u_24)),
% 0.21/0.40 inference(transitivity,[status(thm)],[154, 152])).
% 0.21/0.40 tff(156,plain,
% 0.21/0.40 ((((u_24 | q_3) | (~p_4)) | (~q_5)) <=> ((q_3 | (~p_4) | u_24) | (~q_5))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[155])).
% 0.21/0.40 tff(157,plain,
% 0.21/0.40 ((((u_24 | q_3) | (~p_4)) | (~q_5)) <=> (q_3 | (~p_4) | (~q_5) | u_24)),
% 0.21/0.40 inference(transitivity,[status(thm)],[156, 151])).
% 0.21/0.40 tff(158,axiom,(((u_24 | q_3) | (~p_4)) | (~q_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type12_7')).
% 0.21/0.40 tff(159,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.21/0.40 tff(160,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[159, 150])).
% 0.21/0.40 tff(161,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[160, 150])).
% 0.21/0.40 tff(162,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[161, 150])).
% 0.21/0.40 tff(163,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[162, 150])).
% 0.21/0.40 tff(164,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[163, 150])).
% 0.21/0.40 tff(165,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[164, 150])).
% 0.21/0.40 tff(166,plain,
% 0.21/0.40 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[165, 150])).
% 0.21/0.40 tff(167,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[166, 149, 147, 123, 146])).
% 0.21/0.40 tff(168,plain,(q_3 | (~p_4)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(169,plain,
% 0.21/0.40 (q_3),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[168, 145])).
% 0.21/0.40 tff(170,assumption,(~p_5), introduced(assumption)).
% 0.21/0.40 tff(171,plain,
% 0.21/0.40 ((p_5 | (~q_6) | u_13 | (~q_7)) <=> (p_5 | (~q_6) | u_13 | (~q_7))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(172,plain,
% 0.21/0.40 (((p_5 | (~q_6) | u_13) | (~q_7)) <=> (p_5 | (~q_6) | u_13 | (~q_7))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(173,plain,
% 0.21/0.40 (((p_5 | u_13) | (~q_6)) <=> (p_5 | (~q_6) | u_13)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(174,plain,
% 0.21/0.40 ((u_13 | p_5) <=> (p_5 | u_13)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(175,plain,
% 0.21/0.40 (((u_13 | p_5) | (~q_6)) <=> ((p_5 | u_13) | (~q_6))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[174])).
% 0.21/0.40 tff(176,plain,
% 0.21/0.40 (((u_13 | p_5) | (~q_6)) <=> (p_5 | (~q_6) | u_13)),
% 0.21/0.40 inference(transitivity,[status(thm)],[175, 173])).
% 0.21/0.40 tff(177,plain,
% 0.21/0.40 ((((u_13 | p_5) | (~q_6)) | (~q_7)) <=> ((p_5 | (~q_6) | u_13) | (~q_7))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[176])).
% 0.21/0.40 tff(178,plain,
% 0.21/0.40 ((((u_13 | p_5) | (~q_6)) | (~q_7)) <=> (p_5 | (~q_6) | u_13 | (~q_7))),
% 0.21/0.40 inference(transitivity,[status(thm)],[177, 172])).
% 0.21/0.40 tff(179,axiom,(((u_13 | p_5) | (~q_6)) | (~q_7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type11_12')).
% 0.21/0.40 tff(180,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.21/0.40 tff(181,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[180, 171])).
% 0.21/0.40 tff(182,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[181, 171])).
% 0.21/0.40 tff(183,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[182, 171])).
% 0.21/0.40 tff(184,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[183, 171])).
% 0.21/0.40 tff(185,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[184, 171])).
% 0.21/0.40 tff(186,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[185, 171])).
% 0.21/0.40 tff(187,plain,
% 0.21/0.40 (p_5 | (~q_6) | u_13 | (~q_7)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[186, 171])).
% 0.21/0.40 tff(188,plain,
% 0.21/0.40 (u_13),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[187, 170, 66, 42])).
% 0.21/0.41 tff(189,axiom,(p_5 | (~u_13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_13_s3_type11_12')).
% 0.21/0.41 tff(190,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[189, 188, 170])).
% 0.21/0.41 tff(191,plain,(p_5 | (~q_6)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(192,plain,
% 0.21/0.41 (p_5),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[191, 64])).
% 0.21/0.41 tff(193,assumption,(~p_3), introduced(assumption)).
% 0.21/0.41 tff(194,assumption,(p_5), introduced(assumption)).
% 0.21/0.41 tff(195,plain,
% 0.21/0.41 ((p_3 | (~p_4) | u_8 | (~p_5)) <=> (p_3 | (~p_4) | u_8 | (~p_5))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(196,plain,
% 0.21/0.41 (((p_3 | (~p_4) | u_8) | (~p_5)) <=> (p_3 | (~p_4) | u_8 | (~p_5))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(197,plain,
% 0.21/0.41 (((p_3 | u_8) | (~p_4)) <=> (p_3 | (~p_4) | u_8)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(198,plain,
% 0.21/0.41 ((u_8 | p_3) <=> (p_3 | u_8)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(199,plain,
% 0.21/0.41 (((u_8 | p_3) | (~p_4)) <=> ((p_3 | u_8) | (~p_4))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[198])).
% 0.21/0.41 tff(200,plain,
% 0.21/0.41 (((u_8 | p_3) | (~p_4)) <=> (p_3 | (~p_4) | u_8)),
% 0.21/0.41 inference(transitivity,[status(thm)],[199, 197])).
% 0.21/0.41 tff(201,plain,
% 0.21/0.41 ((((u_8 | p_3) | (~p_4)) | (~p_5)) <=> ((p_3 | (~p_4) | u_8) | (~p_5))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[200])).
% 0.21/0.41 tff(202,plain,
% 0.21/0.41 ((((u_8 | p_3) | (~p_4)) | (~p_5)) <=> (p_3 | (~p_4) | u_8 | (~p_5))),
% 0.21/0.41 inference(transitivity,[status(thm)],[201, 196])).
% 0.21/0.41 tff(203,axiom,(((u_8 | p_3) | (~p_4)) | (~p_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type11_7')).
% 0.21/0.41 tff(204,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.21/0.41 tff(205,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[204, 195])).
% 0.21/0.41 tff(206,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[205, 195])).
% 0.21/0.41 tff(207,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[206, 195])).
% 0.21/0.41 tff(208,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[207, 195])).
% 0.21/0.41 tff(209,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[208, 195])).
% 0.21/0.41 tff(210,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[209, 195])).
% 0.21/0.41 tff(211,plain,
% 0.21/0.41 (p_3 | (~p_4) | u_8 | (~p_5)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[210, 195])).
% 0.21/0.41 tff(212,plain,
% 0.21/0.41 (u_8),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[211, 193, 146, 194])).
% 0.21/0.41 tff(213,axiom,(p_3 | (~u_8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_8_s3_type11_7')).
% 0.21/0.41 tff(214,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[213, 212, 193])).
% 0.21/0.41 tff(215,plain,(p_3 | (~p_4) | (~p_5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(216,plain,
% 0.21/0.41 (p_3),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[215, 192, 145])).
% 0.21/0.41 tff(217,assumption,(p_3), introduced(assumption)).
% 0.21/0.41 tff(218,assumption,(q_3), introduced(assumption)).
% 0.21/0.41 tff(219,assumption,(~q_2), introduced(assumption)).
% 0.21/0.41 tff(220,plain,
% 0.21/0.41 ((q_2 | (~q_3) | (~p_4) | u_23) <=> (q_2 | (~q_3) | (~p_4) | u_23)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(221,plain,
% 0.21/0.41 (((q_2 | (~q_3) | u_23) | (~p_4)) <=> (q_2 | (~q_3) | (~p_4) | u_23)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(222,plain,
% 0.21/0.41 (((q_2 | u_23) | (~q_3)) <=> (q_2 | (~q_3) | u_23)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(223,plain,
% 0.21/0.41 ((u_23 | q_2) <=> (q_2 | u_23)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(224,plain,
% 0.21/0.41 (((u_23 | q_2) | (~q_3)) <=> ((q_2 | u_23) | (~q_3))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[223])).
% 0.21/0.41 tff(225,plain,
% 0.21/0.41 (((u_23 | q_2) | (~q_3)) <=> (q_2 | (~q_3) | u_23)),
% 0.21/0.41 inference(transitivity,[status(thm)],[224, 222])).
% 0.21/0.41 tff(226,plain,
% 0.21/0.41 ((((u_23 | q_2) | (~q_3)) | (~p_4)) <=> ((q_2 | (~q_3) | u_23) | (~p_4))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[225])).
% 0.21/0.41 tff(227,plain,
% 0.21/0.41 ((((u_23 | q_2) | (~q_3)) | (~p_4)) <=> (q_2 | (~q_3) | (~p_4) | u_23)),
% 0.21/0.41 inference(transitivity,[status(thm)],[226, 221])).
% 0.21/0.41 tff(228,axiom,(((u_23 | q_2) | (~q_3)) | (~p_4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type12_6')).
% 0.21/0.41 tff(229,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.21/0.41 tff(230,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[229, 220])).
% 0.21/0.41 tff(231,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[230, 220])).
% 0.21/0.41 tff(232,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[231, 220])).
% 0.21/0.41 tff(233,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[232, 220])).
% 0.21/0.41 tff(234,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[233, 220])).
% 0.21/0.41 tff(235,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[234, 220])).
% 0.21/0.41 tff(236,plain,
% 0.21/0.41 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[235, 220])).
% 0.21/0.41 tff(237,plain,
% 0.21/0.41 (u_23),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[236, 219, 218, 146])).
% 0.21/0.41 tff(238,axiom,(q_2 | (~u_23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_23_s3_type12_6')).
% 0.21/0.41 tff(239,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[238, 237, 219])).
% 0.21/0.41 tff(240,plain,(q_2 | (~q_3) | (~p_4)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(241,plain,
% 0.21/0.41 (q_2),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[240, 218, 146])).
% 0.21/0.41 tff(242,assumption,(q_2), introduced(assumption)).
% 0.21/0.41 tff(243,assumption,(~q_1), introduced(assumption)).
% 0.21/0.41 tff(244,axiom,(q_1 | (~u_21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_21_s3_type12_4')).
% 0.21/0.41 tff(245,plain,
% 0.21/0.41 (~u_21),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[244, 243])).
% 0.21/0.41 tff(246,plain,
% 0.21/0.41 ((q_1 | (~q_2) | (~p_3) | u_21) <=> (q_1 | (~q_2) | (~p_3) | u_21)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(247,plain,
% 0.21/0.41 (((q_1 | (~q_2) | u_21) | (~p_3)) <=> (q_1 | (~q_2) | (~p_3) | u_21)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(248,plain,
% 0.21/0.41 (((q_1 | u_21) | (~q_2)) <=> (q_1 | (~q_2) | u_21)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(249,plain,
% 0.21/0.41 ((u_21 | q_1) <=> (q_1 | u_21)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(250,plain,
% 0.21/0.41 (((u_21 | q_1) | (~q_2)) <=> ((q_1 | u_21) | (~q_2))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[249])).
% 0.21/0.41 tff(251,plain,
% 0.21/0.41 (((u_21 | q_1) | (~q_2)) <=> (q_1 | (~q_2) | u_21)),
% 0.21/0.41 inference(transitivity,[status(thm)],[250, 248])).
% 0.21/0.41 tff(252,plain,
% 0.21/0.41 ((((u_21 | q_1) | (~q_2)) | (~p_3)) <=> ((q_1 | (~q_2) | u_21) | (~p_3))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[251])).
% 0.21/0.41 tff(253,plain,
% 0.21/0.41 ((((u_21 | q_1) | (~q_2)) | (~p_3)) <=> (q_1 | (~q_2) | (~p_3) | u_21)),
% 0.21/0.41 inference(transitivity,[status(thm)],[252, 247])).
% 0.21/0.41 tff(254,axiom,(((u_21 | q_1) | (~q_2)) | (~p_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type12_4')).
% 0.21/0.41 tff(255,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.21/0.41 tff(256,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[255, 246])).
% 0.21/0.41 tff(257,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[256, 246])).
% 0.21/0.41 tff(258,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[257, 246])).
% 0.21/0.41 tff(259,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[258, 246])).
% 0.21/0.41 tff(260,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[259, 246])).
% 0.21/0.41 tff(261,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[260, 246])).
% 0.21/0.41 tff(262,plain,
% 0.21/0.41 (q_1 | (~q_2) | (~p_3) | u_21),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[261, 246])).
% 0.21/0.41 tff(263,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[262, 245, 243, 217, 242])).
% 0.21/0.41 tff(264,plain,(q_1 | (~p_3) | (~q_2)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(265,plain,
% 0.21/0.41 (q_1),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[264, 241, 217])).
% 0.21/0.41 tff(266,assumption,(q_1), introduced(assumption)).
% 0.21/0.41 tff(267,assumption,(~p_0), introduced(assumption)).
% 0.21/0.41 tff(268,axiom,(p_0 | (~u_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_3_s3_type11_2')).
% 0.21/0.41 tff(269,plain,
% 0.21/0.41 (~u_3),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[268, 267])).
% 0.21/0.41 tff(270,plain,
% 0.21/0.41 (((p_0 | u_3 | (~q_1)) | (~q_2)) <=> (p_0 | u_3 | (~q_1) | (~q_2))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(271,plain,
% 0.21/0.41 (((p_0 | u_3) | (~q_1)) <=> (p_0 | u_3 | (~q_1))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(272,plain,
% 0.21/0.41 ((u_3 | p_0) <=> (p_0 | u_3)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(273,plain,
% 0.21/0.41 (((u_3 | p_0) | (~q_1)) <=> ((p_0 | u_3) | (~q_1))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[272])).
% 0.21/0.41 tff(274,plain,
% 0.21/0.41 (((u_3 | p_0) | (~q_1)) <=> (p_0 | u_3 | (~q_1))),
% 0.21/0.41 inference(transitivity,[status(thm)],[273, 271])).
% 0.21/0.41 tff(275,plain,
% 0.21/0.41 ((((u_3 | p_0) | (~q_1)) | (~q_2)) <=> ((p_0 | u_3 | (~q_1)) | (~q_2))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[274])).
% 0.21/0.41 tff(276,plain,
% 0.21/0.41 ((((u_3 | p_0) | (~q_1)) | (~q_2)) <=> (p_0 | u_3 | (~q_1) | (~q_2))),
% 0.21/0.41 inference(transitivity,[status(thm)],[275, 270])).
% 0.21/0.41 tff(277,axiom,(((u_3 | p_0) | (~q_1)) | (~q_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type11_2')).
% 0.21/0.41 tff(278,plain,
% 0.21/0.41 (p_0 | u_3 | (~q_1) | (~q_2)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.21/0.41 tff(279,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[278, 269, 267, 242, 266])).
% 0.21/0.41 tff(280,plain,(p_0 | (~q_2) | (~q_1)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(281,plain,
% 0.21/0.41 (p_0),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[280, 241, 265])).
% 0.21/0.41 tff(282,plain,
% 0.21/0.41 (($false | (~p_0) | (~q_0)) <=> ((~p_0) | (~q_0))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(283,axiom,(~u_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_1_s3_goal_1')).
% 0.21/0.41 tff(284,plain,
% 0.21/0.41 (u_1 <=> $false),
% 0.21/0.41 inference(iff_false,[status(thm)],[283])).
% 0.21/0.41 tff(285,plain,
% 0.21/0.41 ((u_1 | (~p_0) | (~q_0)) <=> ($false | (~p_0) | (~q_0))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[284])).
% 0.21/0.41 tff(286,plain,
% 0.21/0.41 ((u_1 | (~p_0) | (~q_0)) <=> ((~p_0) | (~q_0))),
% 0.21/0.41 inference(transitivity,[status(thm)],[285, 282])).
% 0.21/0.41 tff(287,plain,
% 0.21/0.41 (((u_1 | (~p_0)) | (~q_0)) <=> (u_1 | (~p_0) | (~q_0))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(288,axiom,((u_1 | (~p_0)) | (~q_0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_goal_1')).
% 0.21/0.41 tff(289,plain,
% 0.21/0.41 (u_1 | (~p_0) | (~q_0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.21/0.41 tff(290,plain,
% 0.21/0.41 ((~p_0) | (~q_0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[289, 286])).
% 0.21/0.41 tff(291,plain,
% 0.21/0.41 (~q_0),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[290, 281])).
% 0.21/0.41 tff(292,axiom,(q_0 | (~u_18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_18_s3_type12_1')).
% 0.21/0.41 tff(293,plain,
% 0.21/0.41 (~u_18),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[292, 291])).
% 0.21/0.41 tff(294,plain,
% 0.21/0.41 ((q_0 | (~p_1) | (~q_2) | u_18) <=> (q_0 | (~p_1) | (~q_2) | u_18)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(295,plain,
% 0.21/0.41 (((q_0 | (~p_1) | u_18) | (~q_2)) <=> (q_0 | (~p_1) | (~q_2) | u_18)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(296,plain,
% 0.21/0.41 (((q_0 | u_18) | (~p_1)) <=> (q_0 | (~p_1) | u_18)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(297,plain,
% 0.21/0.41 ((u_18 | q_0) <=> (q_0 | u_18)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(298,plain,
% 0.21/0.41 (((u_18 | q_0) | (~p_1)) <=> ((q_0 | u_18) | (~p_1))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[297])).
% 0.21/0.41 tff(299,plain,
% 0.21/0.41 (((u_18 | q_0) | (~p_1)) <=> (q_0 | (~p_1) | u_18)),
% 0.21/0.41 inference(transitivity,[status(thm)],[298, 296])).
% 0.21/0.41 tff(300,plain,
% 0.21/0.41 ((((u_18 | q_0) | (~p_1)) | (~q_2)) <=> ((q_0 | (~p_1) | u_18) | (~q_2))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[299])).
% 0.21/0.41 tff(301,plain,
% 0.21/0.41 ((((u_18 | q_0) | (~p_1)) | (~q_2)) <=> (q_0 | (~p_1) | (~q_2) | u_18)),
% 0.21/0.41 inference(transitivity,[status(thm)],[300, 295])).
% 0.21/0.41 tff(302,axiom,(((u_18 | q_0) | (~p_1)) | (~q_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type12_1')).
% 0.21/0.41 tff(303,plain,
% 0.21/0.41 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.21/0.41 tff(304,plain,
% 0.21/0.41 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[303, 294])).
% 0.21/0.42 tff(305,plain,
% 0.21/0.42 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[304, 294])).
% 0.21/0.42 tff(306,plain,
% 0.21/0.42 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[305, 294])).
% 0.21/0.42 tff(307,plain,
% 0.21/0.42 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[306, 294])).
% 0.21/0.42 tff(308,plain,
% 0.21/0.42 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[307, 294])).
% 0.21/0.42 tff(309,plain,
% 0.21/0.42 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[308, 294])).
% 0.21/0.42 tff(310,plain,
% 0.21/0.42 (q_0 | (~p_1) | (~q_2) | u_18),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[309, 294])).
% 0.21/0.42 tff(311,plain,
% 0.21/0.42 (~p_1),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[310, 293, 241, 291])).
% 0.21/0.42 tff(312,plain,
% 0.21/0.42 ((p_1 | (~q_2) | u_5 | (~q_3)) <=> (p_1 | (~q_2) | u_5 | (~q_3))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(313,plain,
% 0.21/0.42 (((p_1 | (~q_2) | u_5) | (~q_3)) <=> (p_1 | (~q_2) | u_5 | (~q_3))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(314,plain,
% 0.21/0.42 (((p_1 | u_5) | (~q_2)) <=> (p_1 | (~q_2) | u_5)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(315,plain,
% 0.21/0.42 ((u_5 | p_1) <=> (p_1 | u_5)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(316,plain,
% 0.21/0.42 (((u_5 | p_1) | (~q_2)) <=> ((p_1 | u_5) | (~q_2))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[315])).
% 0.21/0.42 tff(317,plain,
% 0.21/0.42 (((u_5 | p_1) | (~q_2)) <=> (p_1 | (~q_2) | u_5)),
% 0.21/0.42 inference(transitivity,[status(thm)],[316, 314])).
% 0.21/0.42 tff(318,plain,
% 0.21/0.42 ((((u_5 | p_1) | (~q_2)) | (~q_3)) <=> ((p_1 | (~q_2) | u_5) | (~q_3))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[317])).
% 0.21/0.42 tff(319,plain,
% 0.21/0.42 ((((u_5 | p_1) | (~q_2)) | (~q_3)) <=> (p_1 | (~q_2) | u_5 | (~q_3))),
% 0.21/0.42 inference(transitivity,[status(thm)],[318, 313])).
% 0.21/0.42 tff(320,axiom,(((u_5 | p_1) | (~q_2)) | (~q_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s3_type11_4')).
% 0.21/0.42 tff(321,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.21/0.42 tff(322,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[321, 312])).
% 0.21/0.42 tff(323,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[322, 312])).
% 0.21/0.42 tff(324,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[323, 312])).
% 0.21/0.42 tff(325,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[324, 312])).
% 0.21/0.42 tff(326,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[325, 312])).
% 0.21/0.42 tff(327,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[326, 312])).
% 0.21/0.42 tff(328,plain,
% 0.21/0.42 (p_1 | (~q_2) | u_5 | (~q_3)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[327, 312])).
% 0.21/0.42 tff(329,plain,
% 0.21/0.42 (u_5),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[328, 311, 241, 218])).
% 0.21/0.42 tff(330,axiom,(p_1 | (~u_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_5_s3_type11_4')).
% 0.21/0.42 tff(331,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[330, 329, 311])).
% 0.21/0.42 tff(332,plain,((~q_3) | (~p_3) | (~p_4)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.42 tff(333,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[332, 216, 169, 145])).
% 0.21/0.42 % SZS output end Proof
%------------------------------------------------------------------------------