%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ016-2.005 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 05:23:10 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : PUZ016-2.005 : TPTP v9.0.0. Released v1.2.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 02:40:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(vertical_4_2_type, type, (
% 0.13/0.39 vertical_4_2: $o)).
% 0.13/0.39 tff(vertical_3_2_type, type, (
% 0.13/0.39 vertical_3_2: $o)).
% 0.13/0.39 tff(horizontal_3_2_type, type, (
% 0.13/0.39 horizontal_3_2: $o)).
% 0.13/0.39 tff(horizontal_3_3_type, type, (
% 0.13/0.39 horizontal_3_3: $o)).
% 0.13/0.39 tff(vertical_1_4_type, type, (
% 0.13/0.39 vertical_1_4: $o)).
% 0.13/0.39 tff(vertical_2_4_type, type, (
% 0.13/0.39 vertical_2_4: $o)).
% 0.13/0.39 tff(horizontal_2_3_type, type, (
% 0.13/0.39 horizontal_2_3: $o)).
% 0.13/0.39 tff(horizontal_2_2_type, type, (
% 0.13/0.39 horizontal_2_2: $o)).
% 0.13/0.39 tff(vertical_2_2_type, type, (
% 0.13/0.39 vertical_2_2: $o)).
% 0.13/0.39 tff(horizontal_1_4_type, type, (
% 0.13/0.39 horizontal_1_4: $o)).
% 0.13/0.39 tff(vertical_1_5_type, type, (
% 0.13/0.39 vertical_1_5: $o)).
% 0.13/0.39 tff(vertical_2_5_type, type, (
% 0.13/0.39 vertical_2_5: $o)).
% 0.13/0.39 tff(vertical_3_5_type, type, (
% 0.13/0.39 vertical_3_5: $o)).
% 0.13/0.39 tff(vertical_4_5_type, type, (
% 0.13/0.39 vertical_4_5: $o)).
% 0.13/0.39 tff(horizontal_5_4_type, type, (
% 0.13/0.39 horizontal_5_4: $o)).
% 0.13/0.39 tff(horizontal_5_3_type, type, (
% 0.13/0.39 horizontal_5_3: $o)).
% 0.13/0.39 tff(horizontal_5_2_type, type, (
% 0.13/0.39 horizontal_5_2: $o)).
% 0.13/0.39 tff(horizontal_5_1_type, type, (
% 0.13/0.39 horizontal_5_1: $o)).
% 0.13/0.39 tff(vertical_4_1_type, type, (
% 0.13/0.39 vertical_4_1: $o)).
% 0.13/0.39 tff(vertical_3_1_type, type, (
% 0.13/0.39 vertical_3_1: $o)).
% 0.13/0.39 tff(horizontal_3_1_type, type, (
% 0.13/0.39 horizontal_3_1: $o)).
% 0.13/0.39 tff(vertical_2_1_type, type, (
% 0.13/0.39 vertical_2_1: $o)).
% 0.13/0.39 tff(vertical_1_1_type, type, (
% 0.13/0.39 vertical_1_1: $o)).
% 0.13/0.39 tff(horizontal_1_1_type, type, (
% 0.13/0.39 horizontal_1_1: $o)).
% 0.13/0.39 tff(vertical_4_3_type, type, (
% 0.13/0.39 vertical_4_3: $o)).
% 0.13/0.39 tff(horizontal_4_2_type, type, (
% 0.13/0.39 horizontal_4_2: $o)).
% 0.13/0.39 tff(horizontal_4_1_type, type, (
% 0.13/0.39 horizontal_4_1: $o)).
% 0.13/0.39 tff(horizontal_3_4_type, type, (
% 0.13/0.39 horizontal_3_4: $o)).
% 0.13/0.39 tff(vertical_3_4_type, type, (
% 0.13/0.39 vertical_3_4: $o)).
% 0.13/0.39 tff(vertical_4_4_type, type, (
% 0.13/0.39 vertical_4_4: $o)).
% 0.13/0.39 tff(horizontal_4_3_type, type, (
% 0.13/0.39 horizontal_4_3: $o)).
% 0.13/0.39 tff(horizontal_4_4_type, type, (
% 0.13/0.39 horizontal_4_4: $o)).
% 0.13/0.39 tff(horizontal_2_4_type, type, (
% 0.13/0.39 horizontal_2_4: $o)).
% 0.13/0.39 tff(vertical_2_3_type, type, (
% 0.13/0.39 vertical_2_3: $o)).
% 0.13/0.39 tff(vertical_3_3_type, type, (
% 0.13/0.39 vertical_3_3: $o)).
% 0.13/0.39 tff(horizontal_2_1_type, type, (
% 0.13/0.39 horizontal_2_1: $o)).
% 0.13/0.39 tff(vertical_1_2_type, type, (
% 0.13/0.39 vertical_1_2: $o)).
% 0.13/0.39 tff(1,assumption,(horizontal_3_3), introduced(assumption)).
% 0.13/0.39 tff(2,axiom,((~horizontal_3_3) | (~vertical_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_4')).
% 0.13/0.39 tff(3,plain,
% 0.13/0.39 (~vertical_2_4),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.13/0.39 tff(4,assumption,(vertical_2_2), introduced(assumption)).
% 0.13/0.39 tff(5,axiom,((~horizontal_3_1) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_2')).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (~horizontal_3_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[5, 4])).
% 0.13/0.39 tff(7,axiom,(~horizontal_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered3_1_2')).
% 0.13/0.39 tff(8,axiom,(horizontal_1_1 | vertical_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_1')).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 (vertical_1_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 (((~vertical_2_1) | (~vertical_1_1)) <=> ((~vertical_1_1) | (~vertical_2_1))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(11,axiom,((~vertical_2_1) | (~vertical_1_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_1')).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 ((~vertical_1_1) | (~vertical_2_1)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (~vertical_2_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[12, 9])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 ((vertical_2_1 | horizontal_3_1 | vertical_3_1) <=> (vertical_2_1 | horizontal_3_1 | vertical_3_1)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (((horizontal_3_1 | vertical_3_1) | vertical_2_1) <=> (vertical_2_1 | horizontal_3_1 | vertical_3_1)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(16,axiom,((horizontal_3_1 | vertical_3_1) | vertical_2_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_1')).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 (vertical_2_1 | horizontal_3_1 | vertical_3_1),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 (vertical_2_1 | horizontal_3_1 | vertical_3_1),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[17, 14])).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 (vertical_2_1 | horizontal_3_1 | vertical_3_1),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 (vertical_2_1 | horizontal_3_1 | vertical_3_1),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 (horizontal_3_1 | vertical_3_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[20, 13])).
% 0.13/0.39 tff(22,plain,
% 0.13/0.39 (vertical_3_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[21, 6])).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 (((~vertical_4_1) | (~vertical_3_1)) <=> ((~vertical_3_1) | (~vertical_4_1))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(24,axiom,((~vertical_4_1) | (~vertical_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_1')).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 ((~vertical_3_1) | (~vertical_4_1)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.13/0.39 tff(26,plain,
% 0.13/0.39 (~vertical_4_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.13/0.39 tff(27,axiom,(horizontal_5_1 | vertical_4_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_1')).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 (horizontal_5_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 (((~horizontal_5_2) | (~horizontal_5_1)) <=> ((~horizontal_5_1) | (~horizontal_5_2))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(30,axiom,((~horizontal_5_2) | (~horizontal_5_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_2')).
% 0.13/0.39 tff(31,plain,
% 0.13/0.39 ((~horizontal_5_1) | (~horizontal_5_2)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 (~horizontal_5_2),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[31, 28])).
% 0.13/0.39 tff(33,axiom,((~horizontal_4_1) | (~vertical_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_1')).
% 0.13/0.39 tff(34,plain,
% 0.13/0.39 (~horizontal_4_1),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[33, 22])).
% 0.13/0.39 tff(35,plain,
% 0.13/0.39 (((~vertical_3_2) | (~vertical_2_2)) <=> ((~vertical_2_2) | (~vertical_3_2))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(36,axiom,((~vertical_3_2) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_2')).
% 0.13/0.39 tff(37,plain,
% 0.13/0.39 ((~vertical_2_2) | (~vertical_3_2)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.13/0.39 tff(38,plain,
% 0.13/0.39 (~vertical_3_2),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[37, 4])).
% 0.13/0.39 tff(39,axiom,((~horizontal_5_1) | (~vertical_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_2')).
% 0.13/0.39 tff(40,plain,
% 0.13/0.39 (~vertical_4_2),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[39, 28])).
% 0.13/0.39 tff(41,plain,
% 0.13/0.39 ((vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2) <=> (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(42,plain,
% 0.13/0.39 (((horizontal_4_1 | horizontal_4_2 | vertical_4_2) | vertical_3_2) <=> (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(43,plain,
% 0.13/0.39 (((horizontal_4_2 | vertical_4_2) | horizontal_4_1) <=> (horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(44,plain,
% 0.13/0.39 ((((horizontal_4_2 | vertical_4_2) | horizontal_4_1) | vertical_3_2) <=> ((horizontal_4_1 | horizontal_4_2 | vertical_4_2) | vertical_3_2)),
% 0.13/0.39 inference(monotonicity,[status(thm)],[43])).
% 0.13/0.39 tff(45,plain,
% 0.13/0.39 ((((horizontal_4_2 | vertical_4_2) | horizontal_4_1) | vertical_3_2) <=> (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.13/0.39 inference(transitivity,[status(thm)],[44, 42])).
% 0.13/0.39 tff(46,axiom,(((horizontal_4_2 | vertical_4_2) | horizontal_4_1) | vertical_3_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_2')).
% 0.13/0.39 tff(47,plain,
% 0.13/0.39 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.13/0.39 tff(48,plain,
% 0.13/0.39 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[47, 41])).
% 0.13/0.39 tff(49,plain,
% 0.13/0.39 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.13/0.40 tff(50,plain,
% 0.13/0.40 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[49, 41])).
% 0.13/0.40 tff(51,plain,
% 0.13/0.40 (horizontal_4_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[50, 40, 38, 34])).
% 0.13/0.40 tff(52,plain,
% 0.13/0.40 (((~vertical_4_3) | (~horizontal_4_2)) <=> ((~horizontal_4_2) | (~vertical_4_3))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(53,axiom,((~vertical_4_3) | (~horizontal_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_3')).
% 0.13/0.40 tff(54,plain,
% 0.13/0.40 ((~horizontal_4_2) | (~vertical_4_3)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.13/0.40 tff(55,plain,
% 0.13/0.40 (~vertical_4_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[54, 51])).
% 0.13/0.40 tff(56,plain,
% 0.13/0.40 ((vertical_4_3 | horizontal_5_2 | horizontal_5_3) <=> (vertical_4_3 | horizontal_5_2 | horizontal_5_3)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(57,plain,
% 0.13/0.40 (((horizontal_5_2 | horizontal_5_3) | vertical_4_3) <=> (vertical_4_3 | horizontal_5_2 | horizontal_5_3)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(58,plain,
% 0.13/0.40 ((horizontal_5_3 | horizontal_5_2) <=> (horizontal_5_2 | horizontal_5_3)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(59,plain,
% 0.13/0.40 (((horizontal_5_3 | horizontal_5_2) | vertical_4_3) <=> ((horizontal_5_2 | horizontal_5_3) | vertical_4_3)),
% 0.13/0.40 inference(monotonicity,[status(thm)],[58])).
% 0.13/0.40 tff(60,plain,
% 0.13/0.40 (((horizontal_5_3 | horizontal_5_2) | vertical_4_3) <=> (vertical_4_3 | horizontal_5_2 | horizontal_5_3)),
% 0.13/0.40 inference(transitivity,[status(thm)],[59, 57])).
% 0.13/0.40 tff(61,axiom,((horizontal_5_3 | horizontal_5_2) | vertical_4_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_3')).
% 0.13/0.40 tff(62,plain,
% 0.13/0.40 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.13/0.40 tff(63,plain,
% 0.13/0.40 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[62, 56])).
% 0.13/0.40 tff(64,plain,
% 0.13/0.40 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.13/0.40 tff(65,plain,
% 0.13/0.40 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[64, 56])).
% 0.13/0.40 tff(66,plain,
% 0.13/0.40 (horizontal_5_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[65, 55, 32])).
% 0.13/0.40 tff(67,plain,
% 0.13/0.40 (((~horizontal_5_4) | (~horizontal_5_3)) <=> ((~horizontal_5_3) | (~horizontal_5_4))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(68,axiom,((~horizontal_5_4) | (~horizontal_5_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_4')).
% 0.13/0.40 tff(69,plain,
% 0.13/0.40 ((~horizontal_5_3) | (~horizontal_5_4)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.13/0.40 tff(70,plain,
% 0.13/0.40 (~horizontal_5_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[69, 66])).
% 0.13/0.40 tff(71,axiom,(horizontal_5_4 | vertical_4_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_5')).
% 0.13/0.40 tff(72,plain,
% 0.13/0.40 (vertical_4_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[71, 70])).
% 0.13/0.40 tff(73,plain,
% 0.13/0.40 (((~vertical_4_5) | (~vertical_3_5)) <=> ((~vertical_3_5) | (~vertical_4_5))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(74,axiom,((~vertical_4_5) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_5')).
% 0.13/0.40 tff(75,plain,
% 0.13/0.40 ((~vertical_3_5) | (~vertical_4_5)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.13/0.40 tff(76,plain,
% 0.13/0.40 (~vertical_3_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[75, 72])).
% 0.13/0.40 tff(77,axiom,((~horizontal_5_3) | (~vertical_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_4')).
% 0.13/0.40 tff(78,plain,
% 0.13/0.40 (~vertical_4_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[77, 66])).
% 0.13/0.40 tff(79,plain,
% 0.13/0.40 (((~horizontal_4_3) | (~horizontal_4_2)) <=> ((~horizontal_4_2) | (~horizontal_4_3))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(80,axiom,((~horizontal_4_3) | (~horizontal_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_4_3')).
% 0.13/0.40 tff(81,plain,
% 0.13/0.40 ((~horizontal_4_2) | (~horizontal_4_3)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.13/0.40 tff(82,plain,
% 0.13/0.40 (~horizontal_4_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[81, 51])).
% 0.13/0.40 tff(83,plain,
% 0.13/0.40 (((~vertical_4_5) | (~horizontal_4_4)) <=> ((~horizontal_4_4) | (~vertical_4_5))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(84,axiom,((~vertical_4_5) | (~horizontal_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_5')).
% 0.13/0.40 tff(85,plain,
% 0.13/0.40 ((~horizontal_4_4) | (~vertical_4_5)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.13/0.40 tff(86,plain,
% 0.13/0.40 (~horizontal_4_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[85, 72])).
% 0.13/0.40 tff(87,plain,
% 0.13/0.40 ((vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4) <=> (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(88,plain,
% 0.13/0.40 (((horizontal_4_3 | horizontal_4_4 | vertical_4_4) | vertical_3_4) <=> (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(89,plain,
% 0.13/0.40 (((horizontal_4_4 | vertical_4_4) | horizontal_4_3) <=> (horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(90,plain,
% 0.13/0.40 ((((horizontal_4_4 | vertical_4_4) | horizontal_4_3) | vertical_3_4) <=> ((horizontal_4_3 | horizontal_4_4 | vertical_4_4) | vertical_3_4)),
% 0.13/0.40 inference(monotonicity,[status(thm)],[89])).
% 0.13/0.40 tff(91,plain,
% 0.13/0.40 ((((horizontal_4_4 | vertical_4_4) | horizontal_4_3) | vertical_3_4) <=> (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.13/0.40 inference(transitivity,[status(thm)],[90, 88])).
% 0.13/0.40 tff(92,axiom,(((horizontal_4_4 | vertical_4_4) | horizontal_4_3) | vertical_3_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_4')).
% 0.13/0.40 tff(93,plain,
% 0.13/0.40 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.13/0.40 tff(94,plain,
% 0.13/0.40 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[93, 87])).
% 0.13/0.40 tff(95,plain,
% 0.13/0.40 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[94, 87])).
% 0.13/0.40 tff(96,plain,
% 0.13/0.40 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[95, 87])).
% 0.13/0.40 tff(97,plain,
% 0.13/0.40 (vertical_3_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[96, 86, 82, 78])).
% 0.13/0.40 tff(98,axiom,((~horizontal_3_4) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_4')).
% 0.13/0.40 tff(99,plain,
% 0.13/0.40 (~horizontal_3_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.13/0.40 tff(100,plain,
% 0.13/0.40 ((vertical_2_5 | horizontal_3_4 | vertical_3_5) <=> (vertical_2_5 | horizontal_3_4 | vertical_3_5)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(101,plain,
% 0.13/0.40 (((horizontal_3_4 | vertical_3_5) | vertical_2_5) <=> (vertical_2_5 | horizontal_3_4 | vertical_3_5)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(102,plain,
% 0.13/0.40 ((vertical_3_5 | horizontal_3_4) <=> (horizontal_3_4 | vertical_3_5)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(103,plain,
% 0.13/0.40 (((vertical_3_5 | horizontal_3_4) | vertical_2_5) <=> ((horizontal_3_4 | vertical_3_5) | vertical_2_5)),
% 0.13/0.40 inference(monotonicity,[status(thm)],[102])).
% 0.13/0.40 tff(104,plain,
% 0.13/0.40 (((vertical_3_5 | horizontal_3_4) | vertical_2_5) <=> (vertical_2_5 | horizontal_3_4 | vertical_3_5)),
% 0.13/0.40 inference(transitivity,[status(thm)],[103, 101])).
% 0.13/0.40 tff(105,axiom,((vertical_3_5 | horizontal_3_4) | vertical_2_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_5')).
% 0.13/0.40 tff(106,plain,
% 0.13/0.40 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.13/0.40 tff(107,plain,
% 0.13/0.40 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[106, 100])).
% 0.13/0.40 tff(108,plain,
% 0.13/0.40 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[107, 100])).
% 0.13/0.40 tff(109,plain,
% 0.13/0.40 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[108, 100])).
% 0.13/0.40 tff(110,plain,
% 0.13/0.40 (vertical_2_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[109, 99, 76])).
% 0.13/0.40 tff(111,plain,
% 0.13/0.40 (((~vertical_2_5) | (~vertical_1_5)) <=> ((~vertical_1_5) | (~vertical_2_5))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(112,axiom,((~vertical_2_5) | (~vertical_1_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_5')).
% 0.13/0.40 tff(113,plain,
% 0.13/0.40 ((~vertical_1_5) | (~vertical_2_5)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.13/0.40 tff(114,plain,
% 0.13/0.40 (~vertical_1_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[113, 110])).
% 0.13/0.40 tff(115,plain,
% 0.13/0.40 ((vertical_1_5 | horizontal_1_4) <=> (horizontal_1_4 | vertical_1_5)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(116,axiom,(vertical_1_5 | horizontal_1_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_5')).
% 0.13/0.40 tff(117,plain,
% 0.13/0.40 (horizontal_1_4 | vertical_1_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.13/0.40 tff(118,plain,
% 0.13/0.40 (horizontal_1_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[117, 114])).
% 0.13/0.40 tff(119,plain,
% 0.13/0.40 (((~vertical_3_4) | (~vertical_2_4)) <=> ((~vertical_2_4) | (~vertical_3_4))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(120,axiom,((~vertical_3_4) | (~vertical_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_4')).
% 0.13/0.40 tff(121,plain,
% 0.13/0.40 ((~vertical_2_4) | (~vertical_3_4)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.13/0.40 tff(122,plain,
% 0.13/0.40 (~vertical_2_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[121, 97])).
% 0.13/0.40 tff(123,plain,
% 0.13/0.40 (((~vertical_2_5) | (~horizontal_2_4)) <=> ((~horizontal_2_4) | (~vertical_2_5))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(124,axiom,((~vertical_2_5) | (~horizontal_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_5')).
% 0.13/0.40 tff(125,plain,
% 0.13/0.40 ((~horizontal_2_4) | (~vertical_2_5)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.13/0.40 tff(126,plain,
% 0.13/0.40 (~horizontal_2_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[125, 110])).
% 0.13/0.40 tff(127,axiom,((~horizontal_4_2) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_3')).
% 0.13/0.40 tff(128,plain,
% 0.13/0.40 (~vertical_3_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[127, 51])).
% 0.13/0.40 tff(129,axiom,((~horizontal_3_2) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_2')).
% 0.13/0.40 tff(130,plain,
% 0.13/0.40 (~horizontal_3_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[129, 4])).
% 0.13/0.40 tff(131,plain,
% 0.13/0.40 (((~vertical_3_4) | (~horizontal_3_3)) <=> ((~horizontal_3_3) | (~vertical_3_4))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(132,axiom,((~vertical_3_4) | (~horizontal_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_4')).
% 0.13/0.40 tff(133,plain,
% 0.13/0.40 ((~horizontal_3_3) | (~vertical_3_4)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.13/0.40 tff(134,plain,
% 0.13/0.40 (~horizontal_3_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[133, 97])).
% 0.13/0.40 tff(135,plain,
% 0.13/0.40 ((vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3) <=> (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(136,plain,
% 0.13/0.40 (((horizontal_3_2 | horizontal_3_3 | vertical_3_3) | vertical_2_3) <=> (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(137,plain,
% 0.13/0.40 (((horizontal_3_3 | vertical_3_3) | horizontal_3_2) <=> (horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(138,plain,
% 0.13/0.40 ((((horizontal_3_3 | vertical_3_3) | horizontal_3_2) | vertical_2_3) <=> ((horizontal_3_2 | horizontal_3_3 | vertical_3_3) | vertical_2_3)),
% 0.13/0.40 inference(monotonicity,[status(thm)],[137])).
% 0.13/0.40 tff(139,plain,
% 0.13/0.40 ((((horizontal_3_3 | vertical_3_3) | horizontal_3_2) | vertical_2_3) <=> (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.13/0.40 inference(transitivity,[status(thm)],[138, 136])).
% 0.13/0.40 tff(140,axiom,(((horizontal_3_3 | vertical_3_3) | horizontal_3_2) | vertical_2_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_3')).
% 0.13/0.40 tff(141,plain,
% 0.13/0.40 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.13/0.40 tff(142,plain,
% 0.13/0.40 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[141, 135])).
% 0.13/0.40 tff(143,plain,
% 0.13/0.40 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[142, 135])).
% 0.13/0.40 tff(144,plain,
% 0.13/0.40 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[143, 135])).
% 0.13/0.40 tff(145,plain,
% 0.13/0.40 (vertical_2_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[144, 134, 130, 128])).
% 0.13/0.40 tff(146,axiom,((~horizontal_2_3) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_2_3')).
% 0.13/0.40 tff(147,plain,
% 0.13/0.40 (~horizontal_2_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.13/0.40 tff(148,plain,
% 0.13/0.40 ((vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4) <=> (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(149,plain,
% 0.13/0.40 (((horizontal_2_3 | horizontal_2_4 | vertical_2_4) | vertical_1_4) <=> (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(150,plain,
% 0.13/0.40 (((horizontal_2_4 | vertical_2_4) | horizontal_2_3) <=> (horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(151,plain,
% 0.13/0.40 ((((horizontal_2_4 | vertical_2_4) | horizontal_2_3) | vertical_1_4) <=> ((horizontal_2_3 | horizontal_2_4 | vertical_2_4) | vertical_1_4)),
% 0.13/0.40 inference(monotonicity,[status(thm)],[150])).
% 0.13/0.40 tff(152,plain,
% 0.13/0.40 ((((horizontal_2_4 | vertical_2_4) | horizontal_2_3) | vertical_1_4) <=> (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.13/0.40 inference(transitivity,[status(thm)],[151, 149])).
% 0.13/0.40 tff(153,axiom,(((horizontal_2_4 | vertical_2_4) | horizontal_2_3) | vertical_1_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_4')).
% 0.13/0.40 tff(154,plain,
% 0.13/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.13/0.40 tff(155,plain,
% 0.13/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[154, 148])).
% 0.13/0.40 tff(156,plain,
% 0.13/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[155, 148])).
% 0.13/0.40 tff(157,plain,
% 0.13/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[156, 148])).
% 0.13/0.40 tff(158,plain,
% 0.13/0.40 (vertical_1_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[157, 147, 126, 122])).
% 0.13/0.40 tff(159,axiom,((~horizontal_1_4) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_1_4')).
% 0.13/0.40 tff(160,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[159, 158, 118])).
% 0.13/0.40 tff(161,plain,(~vertical_2_2), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(162,axiom,((~horizontal_2_1) | (~vertical_1_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_2_1')).
% 0.13/0.40 tff(163,plain,
% 0.13/0.40 (~horizontal_2_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[162, 9])).
% 0.13/0.40 tff(164,axiom,(~vertical_1_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered2_1_2')).
% 0.13/0.40 tff(165,plain,
% 0.13/0.40 ((vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2) <=> (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(166,plain,
% 0.13/0.40 (((horizontal_2_1 | horizontal_2_2 | vertical_2_2) | vertical_1_2) <=> (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(167,plain,
% 0.13/0.40 (((horizontal_2_2 | vertical_2_2) | horizontal_2_1) <=> (horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(168,plain,
% 0.13/0.40 ((((horizontal_2_2 | vertical_2_2) | horizontal_2_1) | vertical_1_2) <=> ((horizontal_2_1 | horizontal_2_2 | vertical_2_2) | vertical_1_2)),
% 0.13/0.40 inference(monotonicity,[status(thm)],[167])).
% 0.13/0.40 tff(169,plain,
% 0.13/0.40 ((((horizontal_2_2 | vertical_2_2) | horizontal_2_1) | vertical_1_2) <=> (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.13/0.40 inference(transitivity,[status(thm)],[168, 166])).
% 0.13/0.40 tff(170,axiom,(((horizontal_2_2 | vertical_2_2) | horizontal_2_1) | vertical_1_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_2')).
% 0.13/0.40 tff(171,plain,
% 0.13/0.40 (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.13/0.40 tff(172,plain,
% 0.13/0.40 (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[171, 165])).
% 0.13/0.40 tff(173,plain,
% 0.13/0.40 (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[172, 165])).
% 0.13/0.40 tff(174,plain,
% 0.13/0.40 (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[173, 165])).
% 0.13/0.40 tff(175,plain,
% 0.13/0.40 (horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[174, 164])).
% 0.13/0.40 tff(176,plain,
% 0.13/0.40 (horizontal_2_2 | vertical_2_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[175, 163])).
% 0.13/0.40 tff(177,plain,
% 0.13/0.40 (horizontal_2_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[176, 161])).
% 0.13/0.40 tff(178,plain,
% 0.13/0.40 (((~horizontal_2_3) | (~horizontal_2_2)) <=> ((~horizontal_2_2) | (~horizontal_2_3))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(179,axiom,((~horizontal_2_3) | (~horizontal_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_2_3')).
% 0.13/0.40 tff(180,plain,
% 0.13/0.40 ((~horizontal_2_2) | (~horizontal_2_3)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.13/0.40 tff(181,plain,
% 0.13/0.40 (~horizontal_2_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[180, 177])).
% 0.13/0.40 tff(182,assumption,(horizontal_5_4), introduced(assumption)).
% 0.13/0.40 tff(183,axiom,((~horizontal_5_4) | (~vertical_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_4')).
% 0.13/0.40 tff(184,plain,
% 0.13/0.40 (~vertical_4_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[183, 182])).
% 0.13/0.40 tff(185,plain,
% 0.13/0.40 (~horizontal_5_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[69, 182])).
% 0.13/0.40 tff(186,assumption,(horizontal_4_2), introduced(assumption)).
% 0.13/0.40 tff(187,plain,
% 0.13/0.40 (~vertical_3_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[127, 186])).
% 0.13/0.40 tff(188,plain,
% 0.13/0.40 (((~vertical_2_3) | (~horizontal_2_2)) <=> ((~horizontal_2_2) | (~vertical_2_3))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(189,axiom,((~vertical_2_3) | (~horizontal_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_3')).
% 0.13/0.40 tff(190,plain,
% 0.13/0.40 ((~horizontal_2_2) | (~vertical_2_3)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.13/0.40 tff(191,plain,
% 0.13/0.40 (~vertical_2_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[190, 177])).
% 0.13/0.40 tff(192,assumption,(~horizontal_5_3), introduced(assumption)).
% 0.13/0.40 tff(193,plain,
% 0.13/0.40 (~vertical_4_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[54, 186])).
% 0.13/0.40 tff(194,plain,
% 0.13/0.40 (horizontal_5_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[65, 193, 192])).
% 0.13/0.40 tff(195,plain,
% 0.13/0.40 (~horizontal_5_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[31, 194])).
% 0.13/0.40 tff(196,plain,
% 0.13/0.40 (vertical_4_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[27, 195])).
% 0.13/0.40 tff(197,plain,
% 0.13/0.40 (~vertical_3_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[25, 196])).
% 0.13/0.40 tff(198,plain,
% 0.13/0.40 (horizontal_3_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[21, 197])).
% 0.13/0.40 tff(199,plain,
% 0.13/0.40 (((~horizontal_3_2) | (~horizontal_3_1)) <=> ((~horizontal_3_1) | (~horizontal_3_2))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(200,axiom,((~horizontal_3_2) | (~horizontal_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_2')).
% 0.13/0.40 tff(201,plain,
% 0.13/0.40 ((~horizontal_3_1) | (~horizontal_3_2)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.13/0.40 tff(202,plain,
% 0.13/0.40 (~horizontal_3_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[201, 198])).
% 0.13/0.40 tff(203,plain,
% 0.13/0.40 (horizontal_3_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[144, 202, 191, 187])).
% 0.13/0.40 tff(204,plain,
% 0.13/0.40 (~vertical_2_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[2, 203])).
% 0.13/0.40 tff(205,plain,
% 0.13/0.40 (((~horizontal_3_4) | (~horizontal_3_3)) <=> ((~horizontal_3_3) | (~horizontal_3_4))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(206,axiom,((~horizontal_3_4) | (~horizontal_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_4')).
% 0.13/0.40 tff(207,plain,
% 0.13/0.40 ((~horizontal_3_3) | (~horizontal_3_4)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.13/0.40 tff(208,plain,
% 0.13/0.40 (~horizontal_3_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[207, 203])).
% 0.13/0.40 tff(209,assumption,(~vertical_4_4), introduced(assumption)).
% 0.13/0.40 tff(210,plain,
% 0.13/0.40 (~horizontal_4_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[81, 186])).
% 0.13/0.40 tff(211,plain,
% 0.13/0.40 (~vertical_3_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[133, 203])).
% 0.13/0.40 tff(212,plain,
% 0.13/0.40 (horizontal_4_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[96, 211, 210, 209])).
% 0.13/0.40 tff(213,axiom,((~horizontal_4_4) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_5')).
% 0.13/0.40 tff(214,plain,
% 0.13/0.40 (~vertical_3_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[213, 212])).
% 0.13/0.40 tff(215,plain,
% 0.13/0.40 (vertical_2_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[109, 214, 208])).
% 0.13/0.40 tff(216,plain,
% 0.13/0.40 (~horizontal_2_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[125, 215])).
% 0.13/0.40 tff(217,plain,
% 0.13/0.40 (vertical_1_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[157, 216, 181, 204])).
% 0.13/0.40 tff(218,plain,
% 0.13/0.40 (~vertical_1_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[113, 215])).
% 0.13/0.40 tff(219,plain,
% 0.13/0.40 (horizontal_1_4),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[117, 218])).
% 0.13/0.40 tff(220,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[159, 219, 217])).
% 0.13/0.40 tff(221,plain,((~horizontal_4_2) | vertical_4_4 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(222,plain,
% 0.13/0.40 (~horizontal_4_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[221, 184, 185])).
% 0.13/0.40 tff(223,assumption,(~horizontal_4_1), introduced(assumption)).
% 0.13/0.40 tff(224,assumption,(~horizontal_4_2), introduced(assumption)).
% 0.13/0.40 tff(225,assumption,(~horizontal_3_3), introduced(assumption)).
% 0.13/0.40 tff(226,assumption,(horizontal_3_1), introduced(assumption)).
% 0.13/0.40 tff(227,plain,
% 0.13/0.40 (~horizontal_3_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[201, 226])).
% 0.13/0.40 tff(228,plain,
% 0.13/0.40 (vertical_3_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[144, 227, 191, 225])).
% 0.13/0.40 tff(229,plain,
% 0.13/0.40 (((~vertical_4_3) | (~vertical_3_3)) <=> ((~vertical_3_3) | (~vertical_4_3))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(230,axiom,((~vertical_4_3) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_3')).
% 0.13/0.40 tff(231,plain,
% 0.13/0.40 ((~vertical_3_3) | (~vertical_4_3)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.13/0.40 tff(232,plain,
% 0.13/0.40 (~vertical_4_3),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[231, 228])).
% 0.13/0.40 tff(233,plain,
% 0.13/0.40 (((~vertical_3_2) | (~horizontal_3_1)) <=> ((~horizontal_3_1) | (~vertical_3_2))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(234,axiom,((~vertical_3_2) | (~horizontal_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_2')).
% 0.13/0.40 tff(235,plain,
% 0.13/0.40 ((~horizontal_3_1) | (~vertical_3_2)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[234, 233])).
% 0.13/0.40 tff(236,plain,
% 0.13/0.40 (~vertical_3_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[235, 226])).
% 0.13/0.40 tff(237,plain,
% 0.13/0.40 (vertical_4_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[50, 236, 224, 223])).
% 0.13/0.40 tff(238,axiom,((~horizontal_5_2) | (~vertical_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_2')).
% 0.13/0.40 tff(239,plain,
% 0.13/0.40 (~horizontal_5_2),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[238, 237])).
% 0.13/0.40 tff(240,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[65, 239, 232, 192])).
% 0.13/0.40 tff(241,plain,((~horizontal_3_1) | horizontal_5_3 | horizontal_4_2 | horizontal_4_1 | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(242,plain,
% 0.13/0.40 (~horizontal_3_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[241, 225, 224, 223, 192])).
% 0.13/0.40 tff(243,plain,
% 0.13/0.40 (vertical_3_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[21, 242])).
% 0.13/0.40 tff(244,plain,
% 0.13/0.40 (~vertical_4_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[25, 243])).
% 0.13/0.40 tff(245,plain,
% 0.13/0.40 (horizontal_5_1),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[27, 244])).
% 0.13/0.41 tff(246,plain,
% 0.13/0.41 (~horizontal_5_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[31, 245])).
% 0.13/0.41 tff(247,plain,
% 0.13/0.41 (vertical_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[65, 246, 192])).
% 0.13/0.41 tff(248,plain,
% 0.13/0.41 (~vertical_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[231, 247])).
% 0.13/0.41 tff(249,plain,
% 0.13/0.41 (~vertical_4_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[39, 245])).
% 0.13/0.41 tff(250,plain,
% 0.13/0.41 (vertical_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[50, 249, 224, 223])).
% 0.13/0.41 tff(251,axiom,((~horizontal_3_2) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_2')).
% 0.13/0.41 tff(252,plain,
% 0.13/0.41 (~horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[251, 250])).
% 0.13/0.41 tff(253,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[144, 252, 248, 191, 225])).
% 0.13/0.41 tff(254,plain,(horizontal_3_3 | horizontal_4_2 | horizontal_4_1 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(255,plain,
% 0.13/0.41 (horizontal_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[254, 224, 223, 192])).
% 0.13/0.41 tff(256,plain,
% 0.13/0.41 (~vertical_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[2, 255])).
% 0.13/0.41 tff(257,plain,
% 0.13/0.41 (~vertical_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[133, 255])).
% 0.13/0.41 tff(258,assumption,(~vertical_2_5), introduced(assumption)).
% 0.13/0.41 tff(259,assumption,(~vertical_3_4), introduced(assumption)).
% 0.13/0.41 tff(260,assumption,(vertical_3_2), introduced(assumption)).
% 0.13/0.41 tff(261,plain,
% 0.13/0.41 (~horizontal_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[235, 260])).
% 0.13/0.41 tff(262,plain,
% 0.13/0.41 (vertical_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[21, 261])).
% 0.13/0.41 tff(263,plain,
% 0.13/0.41 (~vertical_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[25, 262])).
% 0.13/0.41 tff(264,plain,
% 0.13/0.41 (horizontal_5_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[27, 263])).
% 0.13/0.41 tff(265,plain,
% 0.13/0.41 (~horizontal_5_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[31, 264])).
% 0.13/0.41 tff(266,plain,
% 0.13/0.41 (vertical_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[65, 265, 192])).
% 0.13/0.41 tff(267,axiom,((~horizontal_4_3) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_3')).
% 0.13/0.41 tff(268,plain,
% 0.13/0.41 (~horizontal_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[267, 266])).
% 0.13/0.41 tff(269,plain,
% 0.13/0.41 (horizontal_4_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[96, 268, 259, 209])).
% 0.13/0.41 tff(270,plain,
% 0.13/0.41 (~vertical_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[213, 269])).
% 0.13/0.41 tff(271,plain,
% 0.13/0.41 (~horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[251, 260])).
% 0.13/0.41 tff(272,plain,
% 0.13/0.41 (~vertical_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[231, 266])).
% 0.13/0.41 tff(273,plain,
% 0.13/0.41 (horizontal_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[144, 272, 191, 271])).
% 0.13/0.41 tff(274,plain,
% 0.13/0.41 (~horizontal_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[207, 273])).
% 0.13/0.41 tff(275,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[109, 274, 270, 258])).
% 0.13/0.41 tff(276,plain,((~vertical_3_2) | vertical_2_5 | vertical_3_4 | vertical_4_4 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(277,plain,
% 0.13/0.41 (~vertical_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[276, 259, 258, 209, 192])).
% 0.13/0.41 tff(278,plain,
% 0.13/0.41 (vertical_4_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[50, 277, 224, 223])).
% 0.13/0.41 tff(279,plain,
% 0.13/0.41 (~horizontal_5_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[238, 278])).
% 0.13/0.41 tff(280,plain,
% 0.13/0.41 (vertical_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[65, 279, 192])).
% 0.13/0.41 tff(281,plain,
% 0.13/0.41 (~horizontal_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[267, 280])).
% 0.13/0.41 tff(282,plain,
% 0.13/0.41 (horizontal_4_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[96, 281, 259, 209])).
% 0.13/0.41 tff(283,plain,
% 0.13/0.41 (~vertical_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[213, 282])).
% 0.13/0.41 tff(284,plain,
% 0.13/0.41 (horizontal_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[109, 283, 258])).
% 0.13/0.41 tff(285,plain,
% 0.13/0.41 (~vertical_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[231, 280])).
% 0.13/0.41 tff(286,plain,
% 0.13/0.41 (~horizontal_5_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[39, 278])).
% 0.13/0.41 tff(287,plain,
% 0.13/0.41 (vertical_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[27, 286])).
% 0.13/0.41 tff(288,plain,
% 0.13/0.41 (~vertical_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[25, 287])).
% 0.13/0.41 tff(289,plain,
% 0.13/0.41 (horizontal_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[21, 288])).
% 0.13/0.41 tff(290,plain,
% 0.13/0.41 (~horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[201, 289])).
% 0.13/0.41 tff(291,plain,
% 0.13/0.41 (horizontal_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[144, 290, 191, 285])).
% 0.13/0.41 tff(292,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[207, 291, 284])).
% 0.13/0.41 tff(293,plain,(vertical_3_4 | vertical_2_5 | vertical_4_4 | horizontal_5_3 | horizontal_4_2 | horizontal_4_1), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(294,plain,
% 0.13/0.41 (vertical_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[293, 257, 209, 192, 224, 223])).
% 0.13/0.41 tff(295,plain,
% 0.13/0.41 (~horizontal_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[125, 294])).
% 0.13/0.41 tff(296,plain,
% 0.13/0.41 (vertical_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[157, 295, 181, 256])).
% 0.13/0.41 tff(297,plain,
% 0.13/0.41 (~vertical_1_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[113, 294])).
% 0.13/0.41 tff(298,plain,
% 0.13/0.41 (horizontal_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[117, 297])).
% 0.13/0.41 tff(299,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[159, 298, 296])).
% 0.13/0.41 tff(300,plain,(horizontal_4_2 | vertical_4_4 | horizontal_5_3 | horizontal_4_1), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(301,plain,
% 0.13/0.41 (horizontal_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[300, 222, 185, 184])).
% 0.13/0.41 tff(302,plain,
% 0.13/0.41 (~vertical_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[33, 301])).
% 0.13/0.41 tff(303,plain,
% 0.13/0.41 (horizontal_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[21, 302])).
% 0.13/0.41 tff(304,plain,
% 0.13/0.41 (~horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[201, 303])).
% 0.13/0.41 tff(305,axiom,((~horizontal_4_1) | (~vertical_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_1')).
% 0.13/0.41 tff(306,plain,
% 0.13/0.41 (~vertical_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[305, 301])).
% 0.13/0.41 tff(307,plain,
% 0.13/0.41 (horizontal_5_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[27, 306])).
% 0.13/0.41 tff(308,plain,
% 0.13/0.41 (~horizontal_5_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[31, 307])).
% 0.13/0.41 tff(309,plain,
% 0.13/0.41 (vertical_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[65, 308, 185])).
% 0.13/0.41 tff(310,plain,
% 0.13/0.41 (~vertical_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[231, 309])).
% 0.13/0.41 tff(311,plain,
% 0.13/0.41 (horizontal_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[144, 310, 191, 304])).
% 0.13/0.41 tff(312,plain,
% 0.13/0.41 (~vertical_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[2, 311])).
% 0.13/0.41 tff(313,plain,
% 0.13/0.41 (~horizontal_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[207, 311])).
% 0.13/0.41 tff(314,plain,
% 0.13/0.41 (~horizontal_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[267, 309])).
% 0.13/0.41 tff(315,plain,
% 0.13/0.41 (~vertical_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[133, 311])).
% 0.13/0.41 tff(316,plain,
% 0.13/0.41 (horizontal_4_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[96, 315, 314, 184])).
% 0.13/0.41 tff(317,plain,
% 0.13/0.41 (~vertical_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[213, 316])).
% 0.13/0.41 tff(318,plain,
% 0.13/0.41 (vertical_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[109, 317, 313])).
% 0.13/0.41 tff(319,plain,
% 0.13/0.41 (~horizontal_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[125, 318])).
% 0.13/0.41 tff(320,plain,
% 0.13/0.41 (vertical_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[157, 319, 181, 312])).
% 0.13/0.41 tff(321,plain,
% 0.13/0.41 (~vertical_1_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[113, 318])).
% 0.13/0.41 tff(322,plain,
% 0.13/0.41 (horizontal_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[117, 321])).
% 0.13/0.41 tff(323,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[159, 322, 320])).
% 0.13/0.41 tff(324,plain,(~horizontal_5_4), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(325,plain,
% 0.13/0.41 (vertical_4_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[71, 324])).
% 0.13/0.41 tff(326,plain,
% 0.13/0.41 (~vertical_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[75, 325])).
% 0.13/0.41 tff(327,plain,
% 0.13/0.41 (~horizontal_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[207, 1])).
% 0.13/0.41 tff(328,plain,
% 0.13/0.41 (vertical_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[109, 327, 326])).
% 0.13/0.41 tff(329,plain,
% 0.13/0.41 (~horizontal_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[125, 328])).
% 0.13/0.41 tff(330,plain,
% 0.13/0.41 (vertical_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[157, 329, 181, 3])).
% 0.13/0.41 tff(331,plain,
% 0.13/0.41 (~vertical_1_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[113, 328])).
% 0.13/0.41 tff(332,plain,
% 0.13/0.41 (horizontal_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[117, 331])).
% 0.13/0.41 tff(333,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[159, 332, 330])).
% 0.13/0.41 tff(334,plain,(~horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(335,assumption,(horizontal_4_1), introduced(assumption)).
% 0.13/0.41 tff(336,plain,
% 0.13/0.41 (~vertical_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[305, 335])).
% 0.13/0.41 tff(337,plain,
% 0.13/0.41 (horizontal_5_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[27, 336])).
% 0.13/0.41 tff(338,plain,
% 0.13/0.41 (~horizontal_5_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[31, 337])).
% 0.13/0.41 tff(339,plain,
% 0.13/0.41 (vertical_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[65, 338, 192])).
% 0.13/0.41 tff(340,plain,
% 0.13/0.41 (~vertical_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[33, 335])).
% 0.13/0.41 tff(341,plain,
% 0.13/0.41 (horizontal_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[21, 340])).
% 0.13/0.41 tff(342,plain,
% 0.13/0.41 (~horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[201, 341])).
% 0.13/0.41 tff(343,plain,
% 0.13/0.41 (vertical_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[144, 342, 191, 225])).
% 0.13/0.41 tff(344,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[231, 343, 339])).
% 0.13/0.41 tff(345,plain,((~horizontal_4_1) | horizontal_3_3 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(346,plain,
% 0.13/0.41 (~horizontal_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[345, 225, 192])).
% 0.13/0.41 tff(347,plain,
% 0.13/0.41 (horizontal_4_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[254, 346, 225, 192])).
% 0.13/0.41 tff(348,plain,
% 0.13/0.41 (~vertical_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[54, 347])).
% 0.13/0.41 tff(349,plain,
% 0.13/0.41 (horizontal_5_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[65, 348, 192])).
% 0.13/0.41 tff(350,plain,
% 0.13/0.41 (~horizontal_5_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[31, 349])).
% 0.13/0.41 tff(351,plain,
% 0.13/0.41 (vertical_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[27, 350])).
% 0.13/0.41 tff(352,plain,
% 0.13/0.41 (~vertical_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[127, 347])).
% 0.13/0.41 tff(353,plain,
% 0.13/0.41 (horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[144, 352, 191, 225])).
% 0.13/0.41 tff(354,plain,
% 0.13/0.41 (~horizontal_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[201, 353])).
% 0.13/0.41 tff(355,plain,
% 0.13/0.41 (vertical_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[21, 354])).
% 0.13/0.41 tff(356,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[25, 355, 351])).
% 0.13/0.41 tff(357,plain,(horizontal_3_3 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(358,plain,
% 0.13/0.41 (horizontal_5_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[357, 334])).
% 0.13/0.41 tff(359,plain,
% 0.13/0.41 (~vertical_4_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[77, 358])).
% 0.13/0.41 tff(360,plain,
% 0.13/0.41 (~horizontal_4_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[85, 325])).
% 0.13/0.41 tff(361,assumption,(vertical_3_4), introduced(assumption)).
% 0.13/0.41 tff(362,plain,
% 0.13/0.41 (~vertical_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[121, 361])).
% 0.13/0.41 tff(363,plain,
% 0.13/0.41 (~horizontal_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[98, 361])).
% 0.13/0.41 tff(364,plain,
% 0.13/0.41 (vertical_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[109, 363, 326])).
% 0.13/0.41 tff(365,plain,
% 0.13/0.41 (~horizontal_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[125, 364])).
% 0.13/0.41 tff(366,plain,
% 0.13/0.41 (vertical_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[157, 365, 181, 362])).
% 0.13/0.41 tff(367,plain,
% 0.13/0.41 (~vertical_1_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[113, 364])).
% 0.13/0.41 tff(368,plain,
% 0.13/0.41 (horizontal_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[117, 367])).
% 0.13/0.41 tff(369,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[159, 368, 366])).
% 0.13/0.41 tff(370,plain,(~vertical_3_4), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(371,plain,
% 0.13/0.41 (horizontal_4_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[96, 370, 360, 359])).
% 0.13/0.41 tff(372,axiom,((~horizontal_4_3) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_3')).
% 0.13/0.41 tff(373,plain,
% 0.13/0.41 (~vertical_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[372, 371])).
% 0.13/0.41 tff(374,plain,
% 0.13/0.41 (horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[144, 373, 191, 334])).
% 0.13/0.41 tff(375,plain,
% 0.13/0.41 (~vertical_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[251, 374])).
% 0.13/0.41 tff(376,plain,
% 0.13/0.41 (~horizontal_4_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[81, 371])).
% 0.13/0.41 tff(377,plain,
% 0.13/0.41 (~horizontal_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[201, 374])).
% 0.13/0.41 tff(378,plain,
% 0.13/0.41 (vertical_3_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[21, 377])).
% 0.13/0.41 tff(379,plain,
% 0.13/0.41 (~horizontal_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[33, 378])).
% 0.13/0.41 tff(380,plain,
% 0.13/0.41 (vertical_4_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[50, 379, 376, 375])).
% 0.13/0.41 tff(381,plain,
% 0.13/0.41 (~vertical_4_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[25, 378])).
% 0.13/0.41 tff(382,plain,
% 0.13/0.41 (horizontal_5_1),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[27, 381])).
% 0.13/0.41 tff(383,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[39, 382, 380])).
% 0.13/0.41 % SZS output end Proof
% 0.13/0.41 % E exiting
%------------------------------------------------------------------------------