%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN098-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:38:14 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN098-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 12:28:24 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.36 % SZS status Unsatisfiable
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(q_2_type, type, (
% 0.11/0.36 q_2: $o)).
% 0.11/0.36 tff(p_0_type, type, (
% 0.11/0.36 p_0: $o)).
% 0.11/0.36 tff(q_0_type, type, (
% 0.11/0.36 q_0: $o)).
% 0.11/0.36 tff(q_1_type, type, (
% 0.11/0.36 q_1: $o)).
% 0.11/0.36 tff(u_8_type, type, (
% 0.11/0.36 u_8: $o)).
% 0.11/0.36 tff(p_2_type, type, (
% 0.11/0.36 p_2: $o)).
% 0.11/0.36 tff(u_14_type, type, (
% 0.11/0.36 u_14: $o)).
% 0.11/0.36 tff(q_3_type, type, (
% 0.11/0.36 q_3: $o)).
% 0.11/0.36 tff(u_17_type, type, (
% 0.11/0.36 u_17: $o)).
% 0.11/0.36 tff(u_7_type, type, (
% 0.11/0.36 u_7: $o)).
% 0.11/0.36 tff(u_1_type, type, (
% 0.11/0.36 u_1: $o)).
% 0.11/0.36 tff(u_3_type, type, (
% 0.11/0.36 u_3: $o)).
% 0.11/0.36 tff(u_16_type, type, (
% 0.11/0.36 u_16: $o)).
% 0.11/0.36 tff(1,assumption,(~q_1), introduced(assumption)).
% 0.11/0.36 tff(2,assumption,(~p_2), introduced(assumption)).
% 0.11/0.36 tff(3,plain,
% 0.11/0.36 ((u_14 | p_2) <=> (p_2 | u_14)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(4,axiom,(u_14 | p_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_t3_1')).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 (p_2 | u_14),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 (u_14),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[5, 2])).
% 0.11/0.36 tff(7,axiom,(p_2 | (~u_14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_14_t3_1')).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[7, 6, 2])).
% 0.11/0.36 tff(9,plain,(p_2), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(10,assumption,(~q_3), introduced(assumption)).
% 0.11/0.36 tff(11,plain,
% 0.11/0.36 ((u_17 | q_3) <=> (q_3 | u_17)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(12,axiom,(u_17 | q_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_t3_4')).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 (q_3 | u_17),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 (u_17),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[13, 10])).
% 0.11/0.36 tff(15,axiom,(q_3 | (~u_17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_17_t3_4')).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[15, 14, 10])).
% 0.11/0.36 tff(17,plain,(q_3), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(18,plain,
% 0.11/0.36 (((~p_2) | q_1 | (~q_3) | u_8) <=> ((~p_2) | q_1 | (~q_3) | u_8)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(19,plain,
% 0.11/0.36 ((((~p_2) | q_1 | u_8) | (~q_3)) <=> ((~p_2) | q_1 | (~q_3) | u_8)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(20,plain,
% 0.11/0.36 (((q_1 | u_8) | (~p_2)) <=> ((~p_2) | q_1 | u_8)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(21,plain,
% 0.11/0.36 ((u_8 | q_1) <=> (q_1 | u_8)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(22,plain,
% 0.11/0.36 (((u_8 | q_1) | (~p_2)) <=> ((q_1 | u_8) | (~p_2))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[21])).
% 0.11/0.36 tff(23,plain,
% 0.11/0.36 (((u_8 | q_1) | (~p_2)) <=> ((~p_2) | q_1 | u_8)),
% 0.11/0.36 inference(transitivity,[status(thm)],[22, 20])).
% 0.11/0.36 tff(24,plain,
% 0.11/0.36 ((((u_8 | q_1) | (~p_2)) | (~q_3)) <=> (((~p_2) | q_1 | u_8) | (~q_3))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[23])).
% 0.11/0.36 tff(25,plain,
% 0.11/0.36 ((((u_8 | q_1) | (~p_2)) | (~q_3)) <=> ((~p_2) | q_1 | (~q_3) | u_8)),
% 0.11/0.36 inference(transitivity,[status(thm)],[24, 19])).
% 0.11/0.36 tff(26,axiom,(((u_8 | q_1) | (~p_2)) | (~q_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_3')).
% 0.11/0.36 tff(27,plain,
% 0.11/0.36 ((~p_2) | q_1 | (~q_3) | u_8),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.11/0.36 tff(28,plain,
% 0.11/0.36 ((~p_2) | q_1 | (~q_3) | u_8),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[27, 18])).
% 0.11/0.36 tff(29,plain,
% 0.11/0.36 ((~p_2) | q_1 | (~q_3) | u_8),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.11/0.36 tff(30,plain,
% 0.11/0.36 ((~p_2) | q_1 | (~q_3) | u_8),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[29, 18])).
% 0.11/0.36 tff(31,plain,
% 0.11/0.36 (u_8),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[30, 1, 17, 9])).
% 0.11/0.36 tff(32,axiom,(q_1 | (~u_8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_8_s3_type12_3')).
% 0.11/0.36 tff(33,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[32, 31, 1])).
% 0.11/0.36 tff(34,plain,(q_1), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(35,assumption,(~q_0), introduced(assumption)).
% 0.11/0.36 tff(36,axiom,(q_0 | (~u_7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_7_s3_type12_2')).
% 0.11/0.36 tff(37,plain,
% 0.11/0.36 (~u_7),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.11/0.36 tff(38,plain,
% 0.11/0.36 ((q_0 | (~p_2) | (~q_1) | u_7) <=> (q_0 | (~p_2) | (~q_1) | u_7)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(39,plain,
% 0.11/0.37 (((q_0 | (~q_1) | u_7) | (~p_2)) <=> (q_0 | (~p_2) | (~q_1) | u_7)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(40,plain,
% 0.11/0.37 (((q_0 | u_7) | (~q_1)) <=> (q_0 | (~q_1) | u_7)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(41,plain,
% 0.11/0.37 ((u_7 | q_0) <=> (q_0 | u_7)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(42,plain,
% 0.11/0.37 (((u_7 | q_0) | (~q_1)) <=> ((q_0 | u_7) | (~q_1))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[41])).
% 0.11/0.37 tff(43,plain,
% 0.11/0.37 (((u_7 | q_0) | (~q_1)) <=> (q_0 | (~q_1) | u_7)),
% 0.11/0.37 inference(transitivity,[status(thm)],[42, 40])).
% 0.11/0.37 tff(44,plain,
% 0.11/0.37 ((((u_7 | q_0) | (~q_1)) | (~p_2)) <=> ((q_0 | (~q_1) | u_7) | (~p_2))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[43])).
% 0.11/0.37 tff(45,plain,
% 0.11/0.37 ((((u_7 | q_0) | (~q_1)) | (~p_2)) <=> (q_0 | (~p_2) | (~q_1) | u_7)),
% 0.11/0.37 inference(transitivity,[status(thm)],[44, 39])).
% 0.11/0.37 tff(46,axiom,(((u_7 | q_0) | (~q_1)) | (~p_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type12_2')).
% 0.11/0.37 tff(47,plain,
% 0.11/0.37 (q_0 | (~p_2) | (~q_1) | u_7),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.11/0.37 tff(48,plain,
% 0.11/0.37 (q_0 | (~p_2) | (~q_1) | u_7),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[47, 38])).
% 0.11/0.37 tff(49,plain,
% 0.11/0.37 (q_0 | (~p_2) | (~q_1) | u_7),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[48, 38])).
% 0.11/0.37 tff(50,plain,
% 0.11/0.37 (q_0 | (~p_2) | (~q_1) | u_7),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[49, 38])).
% 0.11/0.37 tff(51,plain,
% 0.11/0.37 ($false),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[50, 37, 35, 9, 34])).
% 0.11/0.37 tff(52,plain,(q_0), inference(lemma,lemma(discharge,[]))).
% 0.11/0.37 tff(53,axiom,(~u_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_1_s3_goal_1')).
% 0.11/0.37 tff(54,plain,
% 0.11/0.37 (((u_1 | (~p_0)) | (~q_0)) <=> (u_1 | (~p_0) | (~q_0))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(55,axiom,((u_1 | (~p_0)) | (~q_0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_goal_1')).
% 0.11/0.37 tff(56,plain,
% 0.11/0.37 (u_1 | (~p_0) | (~q_0)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.11/0.37 tff(57,plain,
% 0.11/0.37 ((~p_0) | (~q_0)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[56, 53])).
% 0.11/0.37 tff(58,plain,
% 0.11/0.37 (~p_0),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[57, 52])).
% 0.11/0.37 tff(59,axiom,(p_0 | (~u_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_3_s3_type11_2')).
% 0.11/0.37 tff(60,plain,
% 0.11/0.37 (~u_3),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[59, 58])).
% 0.11/0.37 tff(61,plain,
% 0.11/0.37 (((p_0 | u_3 | (~q_1)) | (~q_2)) <=> (p_0 | u_3 | (~q_1) | (~q_2))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(62,plain,
% 0.11/0.37 (((p_0 | u_3) | (~q_1)) <=> (p_0 | u_3 | (~q_1))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(63,plain,
% 0.11/0.37 ((u_3 | p_0) <=> (p_0 | u_3)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(64,plain,
% 0.11/0.37 (((u_3 | p_0) | (~q_1)) <=> ((p_0 | u_3) | (~q_1))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[63])).
% 0.11/0.37 tff(65,plain,
% 0.11/0.37 (((u_3 | p_0) | (~q_1)) <=> (p_0 | u_3 | (~q_1))),
% 0.11/0.37 inference(transitivity,[status(thm)],[64, 62])).
% 0.11/0.37 tff(66,plain,
% 0.11/0.37 ((((u_3 | p_0) | (~q_1)) | (~q_2)) <=> ((p_0 | u_3 | (~q_1)) | (~q_2))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[65])).
% 0.11/0.37 tff(67,plain,
% 0.11/0.37 ((((u_3 | p_0) | (~q_1)) | (~q_2)) <=> (p_0 | u_3 | (~q_1) | (~q_2))),
% 0.11/0.37 inference(transitivity,[status(thm)],[66, 61])).
% 0.11/0.37 tff(68,axiom,(((u_3 | p_0) | (~q_1)) | (~q_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_s3_type11_2')).
% 0.11/0.37 tff(69,plain,
% 0.11/0.37 (p_0 | u_3 | (~q_1) | (~q_2)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.11/0.37 tff(70,plain,
% 0.11/0.37 (~q_2),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[69, 60, 34, 58])).
% 0.11/0.37 tff(71,plain,
% 0.11/0.37 ((u_16 | q_2) <=> (q_2 | u_16)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(72,axiom,(u_16 | q_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_t3_3')).
% 0.11/0.37 tff(73,plain,
% 0.11/0.37 (q_2 | u_16),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.11/0.37 tff(74,plain,
% 0.11/0.37 (u_16),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[73, 70])).
% 0.11/0.37 tff(75,axiom,(q_2 | (~u_16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','u_16_t3_3')).
% 0.11/0.37 tff(76,plain,
% 0.11/0.37 ($false),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[75, 74, 70])).
% 0.11/0.37 % SZS output end Proof
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------