%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN094-1.005 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:38:14 AM UTC 2025
% Result : Unsatisfiable 0.17s 0.35s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYN094-1.005 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Jun 20 12:27:25 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.17/0.35 % SZS status Unsatisfiable
% 0.17/0.35 % SZS output start Proof
% 0.17/0.35 tff(q_8_type, type, (
% 0.17/0.35 q_8: $o)).
% 0.17/0.35 tff(u_40_type, type, (
% 0.17/0.35 u_40: $o)).
% 0.17/0.35 tff(q_7_type, type, (
% 0.17/0.35 q_7: $o)).
% 0.17/0.35 tff(p_9_type, type, (
% 0.17/0.35 p_9: $o)).
% 0.17/0.35 tff(u_39_type, type, (
% 0.17/0.35 u_39: $o)).
% 0.17/0.35 tff(u_33_type, type, (
% 0.17/0.35 u_33: $o)).
% 0.17/0.35 tff(p_6_type, type, (
% 0.17/0.35 p_6: $o)).
% 0.17/0.35 tff(q_5_type, type, (
% 0.17/0.35 q_5: $o)).
% 0.17/0.35 tff(q_6_type, type, (
% 0.17/0.35 q_6: $o)).
% 0.17/0.35 tff(p_8_type, type, (
% 0.17/0.35 p_8: $o)).
% 0.17/0.35 tff(u_38_type, type, (
% 0.17/0.35 u_38: $o)).
% 0.17/0.35 tff(u_31_type, type, (
% 0.17/0.35 u_31: $o)).
% 0.17/0.35 tff(q_1_type, type, (
% 0.17/0.35 q_1: $o)).
% 0.17/0.35 tff(q_3_type, type, (
% 0.17/0.35 q_3: $o)).
% 0.17/0.35 tff(p_4_type, type, (
% 0.17/0.35 p_4: $o)).
% 0.17/0.35 tff(u_11_type, type, (
% 0.17/0.35 u_11: $o)).
% 0.17/0.35 tff(u_24_type, type, (
% 0.17/0.35 u_24: $o)).
% 0.17/0.35 tff(p_2_type, type, (
% 0.17/0.35 p_2: $o)).
% 0.17/0.35 tff(q_4_type, type, (
% 0.17/0.35 q_4: $o)).
% 0.17/0.35 tff(u_27_type, type, (
% 0.17/0.35 u_27: $o)).
% 0.17/0.35 tff(u_7_type, type, (
% 0.17/0.35 u_7: $o)).
% 0.17/0.35 tff(u_20_type, type, (
% 0.17/0.35 u_20: $o)).
% 0.17/0.35 tff(q_2_type, type, (
% 0.17/0.35 q_2: $o)).
% 0.17/0.35 tff(u_23_type, type, (
% 0.17/0.35 u_23: $o)).
% 0.17/0.35 tff(p_0_type, type, (
% 0.17/0.35 p_0: $o)).
% 0.17/0.35 tff(q_0_type, type, (
% 0.17/0.35 q_0: $o)).
% 0.17/0.35 tff(u_19_type, type, (
% 0.17/0.35 u_19: $o)).
% 0.17/0.35 tff(u_1_type, type, (
% 0.17/0.35 u_1: $o)).
% 0.17/0.35 tff(u_3_type, type, (
% 0.17/0.35 u_3: $o)).
% 0.17/0.35 tff(u_28_type, type, (
% 0.17/0.35 u_28: $o)).
% 0.17/0.35 tff(u_15_type, type, (
% 0.17/0.35 u_15: $o)).
% 0.17/0.35 tff(1,assumption,(~q_8), introduced(assumption)).
% 0.17/0.35 tff(2,plain,
% 0.17/0.35 ((u_40 | q_8) <=> (q_8 | u_40)),
% 0.17/0.35 inference(rewrite,[status(thm)],[])).
% 0.17/0.35 tff(3,axiom,(u_40 | q_8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_t3_3')).
% 0.17/0.35 tff(4,plain,
% 0.17/0.35 (q_8 | u_40),
% 0.17/0.35 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.17/0.35 tff(5,plain,
% 0.17/0.35 (u_40),
% 0.17/0.35 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.17/0.35 tff(6,axiom,(q_8 | (~u_40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_40_t3_3')).
% 0.17/0.35 tff(7,plain,
% 0.17/0.35 ($false),
% 0.17/0.35 inference(unit_resolution,[status(thm)],[6, 5, 1])).
% 0.17/0.35 tff(8,plain,(q_8), inference(lemma,lemma(discharge,[]))).
% 0.17/0.35 tff(9,assumption,(~p_9), introduced(assumption)).
% 0.17/0.35 tff(10,plain,
% 0.17/0.35 ((u_39 | p_9) <=> (p_9 | u_39)),
% 0.17/0.35 inference(rewrite,[status(thm)],[])).
% 0.17/0.35 tff(11,axiom,(u_39 | p_9), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_t3_2')).
% 0.17/0.35 tff(12,plain,
% 0.17/0.35 (p_9 | u_39),
% 0.17/0.35 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.17/0.35 tff(13,plain,
% 0.17/0.35 (u_39),
% 0.17/0.35 inference(unit_resolution,[status(thm)],[12, 9])).
% 0.17/0.35 tff(14,axiom,(p_9 | (~u_39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_39_t3_2')).
% 0.17/0.35 tff(15,plain,
% 0.17/0.35 ($false),
% 0.17/0.35 inference(unit_resolution,[status(thm)],[14, 13, 9])).
% 0.17/0.35 tff(16,plain,(p_9), inference(lemma,lemma(discharge,[]))).
% 0.17/0.35 tff(17,assumption,(~q_7), introduced(assumption)).
% 0.17/0.35 tff(18,assumption,(q_8), introduced(assumption)).
% 0.17/0.35 tff(19,assumption,(p_9), introduced(assumption)).
% 0.17/0.35 tff(20,plain,
% 0.17/0.35 ((q_7 | (~q_8) | (~p_9) | u_33) <=> (q_7 | (~q_8) | (~p_9) | u_33)),
% 0.17/0.35 inference(rewrite,[status(thm)],[])).
% 0.17/0.35 tff(21,plain,
% 0.17/0.35 (((q_7 | (~q_8) | u_33) | (~p_9)) <=> (q_7 | (~q_8) | (~p_9) | u_33)),
% 0.17/0.35 inference(rewrite,[status(thm)],[])).
% 0.17/0.35 tff(22,plain,
% 0.17/0.35 (((q_7 | u_33) | (~q_8)) <=> (q_7 | (~q_8) | u_33)),
% 0.17/0.35 inference(rewrite,[status(thm)],[])).
% 0.17/0.35 tff(23,plain,
% 0.17/0.35 ((u_33 | q_7) <=> (q_7 | u_33)),
% 0.17/0.35 inference(rewrite,[status(thm)],[])).
% 0.17/0.35 tff(24,plain,
% 0.17/0.35 (((u_33 | q_7) | (~q_8)) <=> ((q_7 | u_33) | (~q_8))),
% 0.17/0.35 inference(monotonicity,[status(thm)],[23])).
% 0.17/0.35 tff(25,plain,
% 0.17/0.35 (((u_33 | q_7) | (~q_8)) <=> (q_7 | (~q_8) | u_33)),
% 0.17/0.35 inference(transitivity,[status(thm)],[24, 22])).
% 0.17/0.35 tff(26,plain,
% 0.17/0.35 ((((u_33 | q_7) | (~q_8)) | (~p_9)) <=> ((q_7 | (~q_8) | u_33) | (~p_9))),
% 0.17/0.35 inference(monotonicity,[status(thm)],[25])).
% 0.17/0.35 tff(27,plain,
% 0.17/0.35 ((((u_33 | q_7) | (~q_8)) | (~p_9)) <=> (q_7 | (~q_8) | (~p_9) | u_33)),
% 0.17/0.35 inference(transitivity,[status(thm)],[26, 21])).
% 0.17/0.35 tff(28,axiom,(((u_33 | q_7) | (~q_8)) | (~p_9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_16')).
% 0.17/0.35 tff(29,plain,
% 0.17/0.35 (q_7 | (~q_8) | (~p_9) | u_33),
% 0.17/0.35 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.17/0.35 tff(30,plain,
% 0.17/0.35 (q_7 | (~q_8) | (~p_9) | u_33),
% 0.17/0.35 inference(modus_ponens,[status(thm)],[29, 20])).
% 0.17/0.35 tff(31,plain,
% 0.17/0.35 (q_7 | (~q_8) | (~p_9) | u_33),
% 0.17/0.35 inference(modus_ponens,[status(thm)],[30, 20])).
% 0.17/0.35 tff(32,plain,
% 0.17/0.35 (q_7 | (~q_8) | (~p_9) | u_33),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[31, 20])).
% 0.17/0.36 tff(33,plain,
% 0.17/0.36 (u_33),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[32, 17, 19, 18])).
% 0.17/0.36 tff(34,axiom,(q_7 | (~u_33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_33_s3_type12_16')).
% 0.17/0.36 tff(35,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[34, 33, 17])).
% 0.17/0.36 tff(36,plain,(q_7 | (~p_9) | (~q_8)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(37,plain,
% 0.17/0.36 (q_7),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[36, 16, 8])).
% 0.17/0.36 tff(38,assumption,(q_7), introduced(assumption)).
% 0.17/0.36 tff(39,assumption,(~p_8), introduced(assumption)).
% 0.17/0.36 tff(40,plain,
% 0.17/0.36 ((u_38 | p_8) <=> (p_8 | u_38)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(41,axiom,(u_38 | p_8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_t3_1')).
% 0.17/0.36 tff(42,plain,
% 0.17/0.36 (p_8 | u_38),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.17/0.36 tff(43,plain,
% 0.17/0.36 (u_38),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[42, 39])).
% 0.17/0.36 tff(44,axiom,(p_8 | (~u_38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_38_t3_1')).
% 0.17/0.36 tff(45,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[44, 43, 39])).
% 0.17/0.36 tff(46,plain,(p_8), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(47,assumption,(~q_6), introduced(assumption)).
% 0.17/0.36 tff(48,axiom,(q_6 | (~u_31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_31_s3_type12_14')).
% 0.17/0.36 tff(49,plain,
% 0.17/0.36 (~u_31),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.17/0.36 tff(50,plain,
% 0.17/0.36 ((q_6 | (~q_7) | (~p_8) | u_31) <=> (q_6 | (~q_7) | (~p_8) | u_31)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(51,plain,
% 0.17/0.36 (((q_6 | (~q_7) | u_31) | (~p_8)) <=> (q_6 | (~q_7) | (~p_8) | u_31)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(52,plain,
% 0.17/0.36 (((q_6 | u_31) | (~q_7)) <=> (q_6 | (~q_7) | u_31)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(53,plain,
% 0.17/0.36 ((u_31 | q_6) <=> (q_6 | u_31)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(54,plain,
% 0.17/0.36 (((u_31 | q_6) | (~q_7)) <=> ((q_6 | u_31) | (~q_7))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[53])).
% 0.17/0.36 tff(55,plain,
% 0.17/0.36 (((u_31 | q_6) | (~q_7)) <=> (q_6 | (~q_7) | u_31)),
% 0.17/0.36 inference(transitivity,[status(thm)],[54, 52])).
% 0.17/0.36 tff(56,plain,
% 0.17/0.36 ((((u_31 | q_6) | (~q_7)) | (~p_8)) <=> ((q_6 | (~q_7) | u_31) | (~p_8))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[55])).
% 0.17/0.36 tff(57,plain,
% 0.17/0.36 ((((u_31 | q_6) | (~q_7)) | (~p_8)) <=> (q_6 | (~q_7) | (~p_8) | u_31)),
% 0.17/0.36 inference(transitivity,[status(thm)],[56, 51])).
% 0.17/0.36 tff(58,axiom,(((u_31 | q_6) | (~q_7)) | (~p_8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_14')).
% 0.17/0.36 tff(59,plain,
% 0.17/0.36 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.17/0.36 tff(60,plain,
% 0.17/0.36 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[59, 50])).
% 0.17/0.36 tff(61,plain,
% 0.17/0.36 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[60, 50])).
% 0.17/0.36 tff(62,plain,
% 0.17/0.36 (q_6 | (~q_7) | (~p_8) | u_31),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[61, 50])).
% 0.17/0.36 tff(63,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[62, 49, 47, 46, 38])).
% 0.17/0.36 tff(64,plain,(q_6 | (~q_7)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(65,plain,
% 0.17/0.36 (q_6),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[64, 38])).
% 0.17/0.36 tff(66,assumption,(p_6), introduced(assumption)).
% 0.17/0.36 tff(67,assumption,(q_6), introduced(assumption)).
% 0.17/0.36 tff(68,assumption,(q_5), introduced(assumption)).
% 0.17/0.36 tff(69,assumption,(~p_4), introduced(assumption)).
% 0.17/0.36 tff(70,axiom,(p_4 | (~u_11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_11_s3_type11_10')).
% 0.17/0.36 tff(71,plain,
% 0.17/0.36 (~u_11),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.17/0.36 tff(72,plain,
% 0.17/0.36 ((p_4 | (~q_5) | u_11 | (~q_6)) <=> (p_4 | (~q_5) | u_11 | (~q_6))),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(73,plain,
% 0.17/0.36 (((p_4 | (~q_5) | u_11) | (~q_6)) <=> (p_4 | (~q_5) | u_11 | (~q_6))),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(74,plain,
% 0.17/0.36 (((p_4 | u_11) | (~q_5)) <=> (p_4 | (~q_5) | u_11)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(75,plain,
% 0.17/0.36 ((u_11 | p_4) <=> (p_4 | u_11)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(76,plain,
% 0.17/0.36 (((u_11 | p_4) | (~q_5)) <=> ((p_4 | u_11) | (~q_5))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[75])).
% 0.17/0.36 tff(77,plain,
% 0.17/0.36 (((u_11 | p_4) | (~q_5)) <=> (p_4 | (~q_5) | u_11)),
% 0.17/0.36 inference(transitivity,[status(thm)],[76, 74])).
% 0.17/0.36 tff(78,plain,
% 0.17/0.36 ((((u_11 | p_4) | (~q_5)) | (~q_6)) <=> ((p_4 | (~q_5) | u_11) | (~q_6))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[77])).
% 0.17/0.36 tff(79,plain,
% 0.17/0.36 ((((u_11 | p_4) | (~q_5)) | (~q_6)) <=> (p_4 | (~q_5) | u_11 | (~q_6))),
% 0.17/0.36 inference(transitivity,[status(thm)],[78, 73])).
% 0.17/0.36 tff(80,axiom,(((u_11 | p_4) | (~q_5)) | (~q_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type11_10')).
% 0.17/0.36 tff(81,plain,
% 0.17/0.36 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.17/0.36 tff(82,plain,
% 0.17/0.36 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[81, 72])).
% 0.17/0.36 tff(83,plain,
% 0.17/0.36 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[82, 72])).
% 0.17/0.36 tff(84,plain,
% 0.17/0.36 (p_4 | (~q_5) | u_11 | (~q_6)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[83, 72])).
% 0.17/0.36 tff(85,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[84, 71, 69, 67, 68])).
% 0.17/0.36 tff(86,plain,(p_4 | (~q_6) | (~q_5)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(87,plain,
% 0.17/0.36 (p_4),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[86, 68, 67])).
% 0.17/0.36 tff(88,assumption,(p_4), introduced(assumption)).
% 0.17/0.36 tff(89,assumption,(~q_3), introduced(assumption)).
% 0.17/0.36 tff(90,axiom,(q_3 | (~u_24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_24_s3_type12_7')).
% 0.17/0.36 tff(91,plain,
% 0.17/0.36 (~u_24),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[90, 89])).
% 0.17/0.36 tff(92,plain,
% 0.17/0.36 ((q_3 | (~p_4) | (~q_5) | u_24) <=> (q_3 | (~p_4) | (~q_5) | u_24)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(93,plain,
% 0.17/0.36 (((q_3 | (~p_4) | u_24) | (~q_5)) <=> (q_3 | (~p_4) | (~q_5) | u_24)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(94,plain,
% 0.17/0.36 (((q_3 | u_24) | (~p_4)) <=> (q_3 | (~p_4) | u_24)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(95,plain,
% 0.17/0.36 ((u_24 | q_3) <=> (q_3 | u_24)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(96,plain,
% 0.17/0.36 (((u_24 | q_3) | (~p_4)) <=> ((q_3 | u_24) | (~p_4))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[95])).
% 0.17/0.36 tff(97,plain,
% 0.17/0.36 (((u_24 | q_3) | (~p_4)) <=> (q_3 | (~p_4) | u_24)),
% 0.17/0.36 inference(transitivity,[status(thm)],[96, 94])).
% 0.17/0.36 tff(98,plain,
% 0.17/0.36 ((((u_24 | q_3) | (~p_4)) | (~q_5)) <=> ((q_3 | (~p_4) | u_24) | (~q_5))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[97])).
% 0.17/0.36 tff(99,plain,
% 0.17/0.36 ((((u_24 | q_3) | (~p_4)) | (~q_5)) <=> (q_3 | (~p_4) | (~q_5) | u_24)),
% 0.17/0.36 inference(transitivity,[status(thm)],[98, 93])).
% 0.17/0.36 tff(100,axiom,(((u_24 | q_3) | (~p_4)) | (~q_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_7')).
% 0.17/0.36 tff(101,plain,
% 0.17/0.36 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.17/0.36 tff(102,plain,
% 0.17/0.36 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[101, 92])).
% 0.17/0.36 tff(103,plain,
% 0.17/0.36 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[102, 92])).
% 0.17/0.36 tff(104,plain,
% 0.17/0.36 (q_3 | (~p_4) | (~q_5) | u_24),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[103, 92])).
% 0.17/0.36 tff(105,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[104, 91, 89, 68, 88])).
% 0.17/0.36 tff(106,plain,(q_3 | (~q_5) | (~p_4)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(107,plain,
% 0.17/0.36 (q_3),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[106, 68, 87])).
% 0.17/0.36 tff(108,assumption,(~q_4), introduced(assumption)).
% 0.17/0.36 tff(109,plain,
% 0.17/0.36 ((q_4 | (~q_5) | (~p_6) | u_27) <=> (q_4 | (~q_5) | (~p_6) | u_27)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(110,plain,
% 0.17/0.36 (((q_4 | (~q_5) | u_27) | (~p_6)) <=> (q_4 | (~q_5) | (~p_6) | u_27)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(111,plain,
% 0.17/0.36 (((q_4 | u_27) | (~q_5)) <=> (q_4 | (~q_5) | u_27)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(112,plain,
% 0.17/0.36 ((u_27 | q_4) <=> (q_4 | u_27)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(113,plain,
% 0.17/0.36 (((u_27 | q_4) | (~q_5)) <=> ((q_4 | u_27) | (~q_5))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[112])).
% 0.17/0.36 tff(114,plain,
% 0.17/0.36 (((u_27 | q_4) | (~q_5)) <=> (q_4 | (~q_5) | u_27)),
% 0.17/0.36 inference(transitivity,[status(thm)],[113, 111])).
% 0.17/0.36 tff(115,plain,
% 0.17/0.36 ((((u_27 | q_4) | (~q_5)) | (~p_6)) <=> ((q_4 | (~q_5) | u_27) | (~p_6))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[114])).
% 0.17/0.36 tff(116,plain,
% 0.17/0.36 ((((u_27 | q_4) | (~q_5)) | (~p_6)) <=> (q_4 | (~q_5) | (~p_6) | u_27)),
% 0.17/0.36 inference(transitivity,[status(thm)],[115, 110])).
% 0.17/0.36 tff(117,axiom,(((u_27 | q_4) | (~q_5)) | (~p_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_10')).
% 0.17/0.36 tff(118,plain,
% 0.17/0.36 (q_4 | (~q_5) | (~p_6) | u_27),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.17/0.36 tff(119,plain,
% 0.17/0.36 (q_4 | (~q_5) | (~p_6) | u_27),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[118, 109])).
% 0.17/0.36 tff(120,plain,
% 0.17/0.36 (q_4 | (~q_5) | (~p_6) | u_27),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[119, 109])).
% 0.17/0.36 tff(121,plain,
% 0.17/0.36 (q_4 | (~q_5) | (~p_6) | u_27),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[120, 109])).
% 0.17/0.36 tff(122,plain,
% 0.17/0.36 (u_27),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[121, 108, 66, 68])).
% 0.17/0.36 tff(123,axiom,(q_4 | (~u_27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_27_s3_type12_10')).
% 0.17/0.36 tff(124,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[123, 122, 108])).
% 0.17/0.36 tff(125,plain,(q_4 | (~p_6) | (~q_5)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(126,plain,
% 0.17/0.36 (q_4),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[125, 68, 66])).
% 0.17/0.36 tff(127,assumption,(~p_2), introduced(assumption)).
% 0.17/0.36 tff(128,assumption,(q_4), introduced(assumption)).
% 0.17/0.36 tff(129,assumption,(q_3), introduced(assumption)).
% 0.17/0.36 tff(130,plain,
% 0.17/0.36 ((p_2 | (~q_3) | u_7 | (~q_4)) <=> (p_2 | (~q_3) | u_7 | (~q_4))),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(131,plain,
% 0.17/0.36 (((p_2 | (~q_3) | u_7) | (~q_4)) <=> (p_2 | (~q_3) | u_7 | (~q_4))),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(132,plain,
% 0.17/0.36 (((p_2 | u_7) | (~q_3)) <=> (p_2 | (~q_3) | u_7)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(133,plain,
% 0.17/0.36 ((u_7 | p_2) <=> (p_2 | u_7)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(134,plain,
% 0.17/0.36 (((u_7 | p_2) | (~q_3)) <=> ((p_2 | u_7) | (~q_3))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[133])).
% 0.17/0.36 tff(135,plain,
% 0.17/0.36 (((u_7 | p_2) | (~q_3)) <=> (p_2 | (~q_3) | u_7)),
% 0.17/0.36 inference(transitivity,[status(thm)],[134, 132])).
% 0.17/0.36 tff(136,plain,
% 0.17/0.36 ((((u_7 | p_2) | (~q_3)) | (~q_4)) <=> ((p_2 | (~q_3) | u_7) | (~q_4))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[135])).
% 0.17/0.36 tff(137,plain,
% 0.17/0.36 ((((u_7 | p_2) | (~q_3)) | (~q_4)) <=> (p_2 | (~q_3) | u_7 | (~q_4))),
% 0.17/0.36 inference(transitivity,[status(thm)],[136, 131])).
% 0.17/0.36 tff(138,axiom,(((u_7 | p_2) | (~q_3)) | (~q_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type11_6')).
% 0.17/0.36 tff(139,plain,
% 0.17/0.36 (p_2 | (~q_3) | u_7 | (~q_4)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.17/0.36 tff(140,plain,
% 0.17/0.36 (p_2 | (~q_3) | u_7 | (~q_4)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[139, 130])).
% 0.17/0.36 tff(141,plain,
% 0.17/0.36 (p_2 | (~q_3) | u_7 | (~q_4)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[140, 130])).
% 0.17/0.36 tff(142,plain,
% 0.17/0.36 (p_2 | (~q_3) | u_7 | (~q_4)),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[141, 130])).
% 0.17/0.36 tff(143,plain,
% 0.17/0.36 (u_7),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[142, 127, 129, 128])).
% 0.17/0.36 tff(144,axiom,(p_2 | (~u_7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_7_s3_type11_6')).
% 0.17/0.36 tff(145,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[144, 143, 127])).
% 0.17/0.36 tff(146,plain,(p_2 | (~q_3) | (~q_4)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(147,plain,
% 0.17/0.36 (p_2),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[146, 126, 107])).
% 0.17/0.36 tff(148,assumption,(p_2), introduced(assumption)).
% 0.17/0.36 tff(149,assumption,(~q_1), introduced(assumption)).
% 0.17/0.36 tff(150,axiom,(q_1 | (~u_20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_20_s3_type12_3')).
% 0.17/0.36 tff(151,plain,
% 0.17/0.36 (~u_20),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.17/0.36 tff(152,plain,
% 0.17/0.36 (((~p_2) | q_1 | (~q_3) | u_20) <=> ((~p_2) | q_1 | (~q_3) | u_20)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(153,plain,
% 0.17/0.36 ((((~p_2) | q_1 | u_20) | (~q_3)) <=> ((~p_2) | q_1 | (~q_3) | u_20)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(154,plain,
% 0.17/0.36 (((q_1 | u_20) | (~p_2)) <=> ((~p_2) | q_1 | u_20)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(155,plain,
% 0.17/0.36 ((u_20 | q_1) <=> (q_1 | u_20)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(156,plain,
% 0.17/0.36 (((u_20 | q_1) | (~p_2)) <=> ((q_1 | u_20) | (~p_2))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[155])).
% 0.17/0.36 tff(157,plain,
% 0.17/0.36 (((u_20 | q_1) | (~p_2)) <=> ((~p_2) | q_1 | u_20)),
% 0.17/0.36 inference(transitivity,[status(thm)],[156, 154])).
% 0.17/0.36 tff(158,plain,
% 0.17/0.36 ((((u_20 | q_1) | (~p_2)) | (~q_3)) <=> (((~p_2) | q_1 | u_20) | (~q_3))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[157])).
% 0.17/0.36 tff(159,plain,
% 0.17/0.36 ((((u_20 | q_1) | (~p_2)) | (~q_3)) <=> ((~p_2) | q_1 | (~q_3) | u_20)),
% 0.17/0.36 inference(transitivity,[status(thm)],[158, 153])).
% 0.17/0.36 tff(160,axiom,(((u_20 | q_1) | (~p_2)) | (~q_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_3')).
% 0.17/0.36 tff(161,plain,
% 0.17/0.36 ((~p_2) | q_1 | (~q_3) | u_20),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.17/0.36 tff(162,plain,
% 0.17/0.36 ((~p_2) | q_1 | (~q_3) | u_20),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[161, 152])).
% 0.17/0.36 tff(163,plain,
% 0.17/0.36 ((~p_2) | q_1 | (~q_3) | u_20),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[162, 152])).
% 0.17/0.36 tff(164,plain,
% 0.17/0.36 ((~p_2) | q_1 | (~q_3) | u_20),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[163, 152])).
% 0.17/0.36 tff(165,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[164, 151, 149, 129, 148])).
% 0.17/0.36 tff(166,plain,(q_1 | (~q_3) | (~p_2)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(167,plain,
% 0.17/0.36 (q_1),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[166, 147, 107])).
% 0.17/0.36 tff(168,assumption,(~q_2), introduced(assumption)).
% 0.17/0.36 tff(169,plain,
% 0.17/0.36 ((q_2 | (~q_3) | (~p_4) | u_23) <=> (q_2 | (~q_3) | (~p_4) | u_23)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(170,plain,
% 0.17/0.36 (((q_2 | (~q_3) | u_23) | (~p_4)) <=> (q_2 | (~q_3) | (~p_4) | u_23)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(171,plain,
% 0.17/0.36 (((q_2 | u_23) | (~q_3)) <=> (q_2 | (~q_3) | u_23)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(172,plain,
% 0.17/0.36 ((u_23 | q_2) <=> (q_2 | u_23)),
% 0.17/0.36 inference(rewrite,[status(thm)],[])).
% 0.17/0.36 tff(173,plain,
% 0.17/0.36 (((u_23 | q_2) | (~q_3)) <=> ((q_2 | u_23) | (~q_3))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[172])).
% 0.17/0.36 tff(174,plain,
% 0.17/0.36 (((u_23 | q_2) | (~q_3)) <=> (q_2 | (~q_3) | u_23)),
% 0.17/0.36 inference(transitivity,[status(thm)],[173, 171])).
% 0.17/0.36 tff(175,plain,
% 0.17/0.36 ((((u_23 | q_2) | (~q_3)) | (~p_4)) <=> ((q_2 | (~q_3) | u_23) | (~p_4))),
% 0.17/0.36 inference(monotonicity,[status(thm)],[174])).
% 0.17/0.36 tff(176,plain,
% 0.17/0.36 ((((u_23 | q_2) | (~q_3)) | (~p_4)) <=> (q_2 | (~q_3) | (~p_4) | u_23)),
% 0.17/0.36 inference(transitivity,[status(thm)],[175, 170])).
% 0.17/0.36 tff(177,axiom,(((u_23 | q_2) | (~q_3)) | (~p_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_6')).
% 0.17/0.36 tff(178,plain,
% 0.17/0.36 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.17/0.36 tff(179,plain,
% 0.17/0.36 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[178, 169])).
% 0.17/0.36 tff(180,plain,
% 0.17/0.36 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[179, 169])).
% 0.17/0.36 tff(181,plain,
% 0.17/0.36 (q_2 | (~q_3) | (~p_4) | u_23),
% 0.17/0.36 inference(modus_ponens,[status(thm)],[180, 169])).
% 0.17/0.36 tff(182,plain,
% 0.17/0.36 (u_23),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[181, 168, 88, 129])).
% 0.17/0.36 tff(183,axiom,(q_2 | (~u_23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_23_s3_type12_6')).
% 0.17/0.36 tff(184,plain,
% 0.17/0.36 ($false),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[183, 182, 168])).
% 0.17/0.36 tff(185,plain,(q_2 | (~p_4) | (~q_3)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.36 tff(186,plain,
% 0.17/0.36 (q_2),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[185, 87, 107])).
% 0.17/0.36 tff(187,assumption,(q_1), introduced(assumption)).
% 0.17/0.36 tff(188,assumption,(~q_0), introduced(assumption)).
% 0.17/0.36 tff(189,axiom,(q_0 | (~u_19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_19_s3_type12_2')).
% 0.17/0.36 tff(190,plain,
% 0.17/0.36 (~u_19),
% 0.17/0.36 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.17/0.36 tff(191,plain,
% 0.17/0.36 ((q_0 | (~p_2) | (~q_1) | u_19) <=> (q_0 | (~p_2) | (~q_1) | u_19)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(192,plain,
% 0.17/0.37 (((q_0 | (~q_1) | u_19) | (~p_2)) <=> (q_0 | (~p_2) | (~q_1) | u_19)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(193,plain,
% 0.17/0.37 (((q_0 | u_19) | (~q_1)) <=> (q_0 | (~q_1) | u_19)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(194,plain,
% 0.17/0.37 ((u_19 | q_0) <=> (q_0 | u_19)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(195,plain,
% 0.17/0.37 (((u_19 | q_0) | (~q_1)) <=> ((q_0 | u_19) | (~q_1))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[194])).
% 0.17/0.37 tff(196,plain,
% 0.17/0.37 (((u_19 | q_0) | (~q_1)) <=> (q_0 | (~q_1) | u_19)),
% 0.17/0.37 inference(transitivity,[status(thm)],[195, 193])).
% 0.17/0.37 tff(197,plain,
% 0.17/0.37 ((((u_19 | q_0) | (~q_1)) | (~p_2)) <=> ((q_0 | (~q_1) | u_19) | (~p_2))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[196])).
% 0.17/0.37 tff(198,plain,
% 0.17/0.37 ((((u_19 | q_0) | (~q_1)) | (~p_2)) <=> (q_0 | (~p_2) | (~q_1) | u_19)),
% 0.17/0.37 inference(transitivity,[status(thm)],[197, 192])).
% 0.17/0.37 tff(199,axiom,(((u_19 | q_0) | (~q_1)) | (~p_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_2')).
% 0.17/0.37 tff(200,plain,
% 0.17/0.37 (q_0 | (~p_2) | (~q_1) | u_19),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.17/0.37 tff(201,plain,
% 0.17/0.37 (q_0 | (~p_2) | (~q_1) | u_19),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[200, 191])).
% 0.17/0.37 tff(202,plain,
% 0.17/0.37 (q_0 | (~p_2) | (~q_1) | u_19),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[201, 191])).
% 0.17/0.37 tff(203,plain,
% 0.17/0.37 (q_0 | (~p_2) | (~q_1) | u_19),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[202, 191])).
% 0.17/0.37 tff(204,plain,
% 0.17/0.37 ($false),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[203, 190, 188, 148, 187])).
% 0.17/0.37 tff(205,plain,(q_0 | (~p_2) | (~q_1)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.37 tff(206,plain,
% 0.17/0.37 (q_0),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[205, 147, 167])).
% 0.17/0.37 tff(207,axiom,(~u_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_1_s3_goal_1')).
% 0.17/0.37 tff(208,plain,
% 0.17/0.37 (((u_1 | (~p_0)) | (~q_0)) <=> (u_1 | (~p_0) | (~q_0))),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(209,axiom,((u_1 | (~p_0)) | (~q_0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_goal_1')).
% 0.17/0.37 tff(210,plain,
% 0.17/0.37 (u_1 | (~p_0) | (~q_0)),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.17/0.37 tff(211,plain,
% 0.17/0.37 ((~p_0) | (~q_0)),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[210, 207])).
% 0.17/0.37 tff(212,plain,
% 0.17/0.37 (~p_0),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[211, 206])).
% 0.17/0.37 tff(213,axiom,(p_0 | (~u_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_3_s3_type11_2')).
% 0.17/0.37 tff(214,plain,
% 0.17/0.37 (~u_3),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[213, 212])).
% 0.17/0.37 tff(215,plain,
% 0.17/0.37 (((p_0 | u_3 | (~q_1)) | (~q_2)) <=> (p_0 | u_3 | (~q_1) | (~q_2))),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(216,plain,
% 0.17/0.37 (((p_0 | u_3) | (~q_1)) <=> (p_0 | u_3 | (~q_1))),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(217,plain,
% 0.17/0.37 ((u_3 | p_0) <=> (p_0 | u_3)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(218,plain,
% 0.17/0.37 (((u_3 | p_0) | (~q_1)) <=> ((p_0 | u_3) | (~q_1))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[217])).
% 0.17/0.37 tff(219,plain,
% 0.17/0.37 (((u_3 | p_0) | (~q_1)) <=> (p_0 | u_3 | (~q_1))),
% 0.17/0.37 inference(transitivity,[status(thm)],[218, 216])).
% 0.17/0.37 tff(220,plain,
% 0.17/0.37 ((((u_3 | p_0) | (~q_1)) | (~q_2)) <=> ((p_0 | u_3 | (~q_1)) | (~q_2))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[219])).
% 0.17/0.37 tff(221,plain,
% 0.17/0.37 ((((u_3 | p_0) | (~q_1)) | (~q_2)) <=> (p_0 | u_3 | (~q_1) | (~q_2))),
% 0.17/0.37 inference(transitivity,[status(thm)],[220, 215])).
% 0.17/0.37 tff(222,axiom,(((u_3 | p_0) | (~q_1)) | (~q_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type11_2')).
% 0.17/0.37 tff(223,plain,
% 0.17/0.37 (p_0 | u_3 | (~q_1) | (~q_2)),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.17/0.37 tff(224,plain,
% 0.17/0.37 ($false),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[223, 214, 212, 186, 167])).
% 0.17/0.37 tff(225,plain,((~q_5) | (~p_6) | (~q_6)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.37 tff(226,plain,
% 0.17/0.37 (~q_5),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[225, 66, 65])).
% 0.17/0.37 tff(227,plain,
% 0.17/0.37 ((q_5 | (~p_6) | (~q_7) | u_28) <=> (q_5 | (~p_6) | (~q_7) | u_28)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(228,plain,
% 0.17/0.37 (((q_5 | (~p_6) | u_28) | (~q_7)) <=> (q_5 | (~p_6) | (~q_7) | u_28)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(229,plain,
% 0.17/0.37 (((q_5 | u_28) | (~p_6)) <=> (q_5 | (~p_6) | u_28)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(230,plain,
% 0.17/0.37 ((u_28 | q_5) <=> (q_5 | u_28)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(231,plain,
% 0.17/0.37 (((u_28 | q_5) | (~p_6)) <=> ((q_5 | u_28) | (~p_6))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[230])).
% 0.17/0.37 tff(232,plain,
% 0.17/0.37 (((u_28 | q_5) | (~p_6)) <=> (q_5 | (~p_6) | u_28)),
% 0.17/0.37 inference(transitivity,[status(thm)],[231, 229])).
% 0.17/0.37 tff(233,plain,
% 0.17/0.37 ((((u_28 | q_5) | (~p_6)) | (~q_7)) <=> ((q_5 | (~p_6) | u_28) | (~q_7))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[232])).
% 0.17/0.37 tff(234,plain,
% 0.17/0.37 ((((u_28 | q_5) | (~p_6)) | (~q_7)) <=> (q_5 | (~p_6) | (~q_7) | u_28)),
% 0.17/0.37 inference(transitivity,[status(thm)],[233, 228])).
% 0.17/0.37 tff(235,axiom,(((u_28 | q_5) | (~p_6)) | (~q_7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_11')).
% 0.17/0.37 tff(236,plain,
% 0.17/0.37 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.17/0.37 tff(237,plain,
% 0.17/0.37 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[236, 227])).
% 0.17/0.37 tff(238,plain,
% 0.17/0.37 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[237, 227])).
% 0.17/0.37 tff(239,plain,
% 0.17/0.37 (q_5 | (~p_6) | (~q_7) | u_28),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[238, 227])).
% 0.17/0.37 tff(240,plain,
% 0.17/0.37 (u_28),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[239, 226, 38, 66])).
% 0.17/0.37 tff(241,axiom,(q_5 | (~u_28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_28_s3_type12_11')).
% 0.17/0.37 tff(242,plain,
% 0.17/0.37 ($false),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[241, 240, 226])).
% 0.17/0.37 tff(243,plain,((~p_6) | (~q_7)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.37 tff(244,plain,
% 0.17/0.37 (~p_6),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[243, 37])).
% 0.17/0.37 tff(245,assumption,(~p_6), introduced(assumption)).
% 0.17/0.37 tff(246,plain,
% 0.17/0.37 ((p_6 | (~q_7) | u_15 | (~q_8)) <=> (p_6 | (~q_7) | u_15 | (~q_8))),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(247,plain,
% 0.17/0.37 (((p_6 | (~q_7) | u_15) | (~q_8)) <=> (p_6 | (~q_7) | u_15 | (~q_8))),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(248,plain,
% 0.17/0.37 (((p_6 | u_15) | (~q_7)) <=> (p_6 | (~q_7) | u_15)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(249,plain,
% 0.17/0.37 ((u_15 | p_6) <=> (p_6 | u_15)),
% 0.17/0.37 inference(rewrite,[status(thm)],[])).
% 0.17/0.37 tff(250,plain,
% 0.17/0.37 (((u_15 | p_6) | (~q_7)) <=> ((p_6 | u_15) | (~q_7))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[249])).
% 0.17/0.37 tff(251,plain,
% 0.17/0.37 (((u_15 | p_6) | (~q_7)) <=> (p_6 | (~q_7) | u_15)),
% 0.17/0.37 inference(transitivity,[status(thm)],[250, 248])).
% 0.17/0.37 tff(252,plain,
% 0.17/0.37 ((((u_15 | p_6) | (~q_7)) | (~q_8)) <=> ((p_6 | (~q_7) | u_15) | (~q_8))),
% 0.17/0.37 inference(monotonicity,[status(thm)],[251])).
% 0.17/0.37 tff(253,plain,
% 0.17/0.37 ((((u_15 | p_6) | (~q_7)) | (~q_8)) <=> (p_6 | (~q_7) | u_15 | (~q_8))),
% 0.17/0.37 inference(transitivity,[status(thm)],[252, 247])).
% 0.17/0.37 tff(254,axiom,(((u_15 | p_6) | (~q_7)) | (~q_8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type11_14')).
% 0.17/0.37 tff(255,plain,
% 0.17/0.37 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.17/0.37 tff(256,plain,
% 0.17/0.37 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[255, 246])).
% 0.17/0.37 tff(257,plain,
% 0.17/0.37 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[256, 246])).
% 0.17/0.37 tff(258,plain,
% 0.17/0.37 (p_6 | (~q_7) | u_15 | (~q_8)),
% 0.17/0.37 inference(modus_ponens,[status(thm)],[257, 246])).
% 0.17/0.37 tff(259,plain,
% 0.17/0.37 (u_15),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[258, 245, 38, 18])).
% 0.17/0.37 tff(260,axiom,(p_6 | (~u_15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_15_s3_type11_14')).
% 0.17/0.37 tff(261,plain,
% 0.17/0.37 ($false),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[260, 259, 245])).
% 0.17/0.37 tff(262,plain,(p_6 | (~q_7) | (~q_8)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.37 tff(263,plain,
% 0.17/0.37 ($false),
% 0.17/0.37 inference(unit_resolution,[status(thm)],[262, 244, 37, 8])).
% 0.17/0.37 % SZS output end Proof
% 0.17/0.37 % E exiting
%------------------------------------------------------------------------------