%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ015-2.006 : TPTP v9.0.0. Released v1.2.0.
% 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 05:23:09 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : PUZ015-2.006 : TPTP v9.0.0. Released v1.2.0.
% 0.13/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n012.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 02:38:55 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.40 % SZS status Unsatisfiable
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(horizontal_4_4_type, type, (
% 0.13/0.40 horizontal_4_4: $o)).
% 0.13/0.40 tff(vertical_4_4_type, type, (
% 0.13/0.40 vertical_4_4: $o)).
% 0.13/0.40 tff(vertical_4_3_type, type, (
% 0.13/0.40 vertical_4_3: $o)).
% 0.13/0.40 tff(horizontal_3_3_type, type, (
% 0.13/0.40 horizontal_3_3: $o)).
% 0.13/0.40 tff(vertical_1_4_type, type, (
% 0.13/0.40 vertical_1_4: $o)).
% 0.13/0.40 tff(horizontal_1_4_type, type, (
% 0.13/0.40 horizontal_1_4: $o)).
% 0.13/0.40 tff(vertical_2_6_type, type, (
% 0.13/0.40 vertical_2_6: $o)).
% 0.13/0.40 tff(vertical_1_6_type, type, (
% 0.13/0.40 vertical_1_6: $o)).
% 0.13/0.40 tff(horizontal_1_5_type, type, (
% 0.13/0.40 horizontal_1_5: $o)).
% 0.13/0.40 tff(vertical_1_5_type, type, (
% 0.13/0.40 vertical_1_5: $o)).
% 0.13/0.40 tff(horizontal_2_5_type, type, (
% 0.13/0.40 horizontal_2_5: $o)).
% 0.13/0.40 tff(vertical_4_5_type, type, (
% 0.13/0.40 vertical_4_5: $o)).
% 0.13/0.40 tff(horizontal_4_5_type, type, (
% 0.13/0.40 horizontal_4_5: $o)).
% 0.13/0.40 tff(vertical_3_6_type, type, (
% 0.13/0.40 vertical_3_6: $o)).
% 0.13/0.40 tff(vertical_4_1_type, type, (
% 0.13/0.40 vertical_4_1: $o)).
% 0.13/0.40 tff(vertical_5_1_type, type, (
% 0.13/0.40 vertical_5_1: $o)).
% 0.13/0.40 tff(horizontal_6_1_type, type, (
% 0.13/0.40 horizontal_6_1: $o)).
% 0.13/0.40 tff(vertical_5_2_type, type, (
% 0.13/0.40 vertical_5_2: $o)).
% 0.13/0.40 tff(vertical_5_4_type, type, (
% 0.13/0.40 vertical_5_4: $o)).
% 0.13/0.40 tff(horizontal_6_4_type, type, (
% 0.13/0.40 horizontal_6_4: $o)).
% 0.13/0.40 tff(vertical_5_5_type, type, (
% 0.13/0.40 vertical_5_5: $o)).
% 0.13/0.40 tff(horizontal_5_5_type, type, (
% 0.13/0.40 horizontal_5_5: $o)).
% 0.13/0.40 tff(vertical_4_6_type, type, (
% 0.13/0.40 vertical_4_6: $o)).
% 0.13/0.40 tff(horizontal_1_3_type, type, (
% 0.13/0.40 horizontal_1_3: $o)).
% 0.13/0.40 tff(horizontal_1_2_type, type, (
% 0.13/0.40 horizontal_1_2: $o)).
% 0.13/0.40 tff(vertical_1_2_type, type, (
% 0.13/0.40 vertical_1_2: $o)).
% 0.13/0.40 tff(horizontal_2_1_type, type, (
% 0.13/0.40 horizontal_2_1: $o)).
% 0.13/0.40 tff(vertical_2_1_type, type, (
% 0.13/0.40 vertical_2_1: $o)).
% 0.13/0.40 tff(vertical_3_1_type, type, (
% 0.13/0.40 vertical_3_1: $o)).
% 0.13/0.40 tff(horizontal_6_2_type, type, (
% 0.13/0.40 horizontal_6_2: $o)).
% 0.13/0.40 tff(horizontal_6_3_type, type, (
% 0.13/0.40 horizontal_6_3: $o)).
% 0.13/0.40 tff(vertical_5_3_type, type, (
% 0.13/0.40 vertical_5_3: $o)).
% 0.13/0.40 tff(vertical_3_3_type, type, (
% 0.13/0.40 vertical_3_3: $o)).
% 0.13/0.40 tff(vertical_2_3_type, type, (
% 0.13/0.40 vertical_2_3: $o)).
% 0.13/0.40 tff(vertical_1_3_type, type, (
% 0.13/0.40 vertical_1_3: $o)).
% 0.13/0.40 tff(horizontal_5_1_type, type, (
% 0.13/0.40 horizontal_5_1: $o)).
% 0.13/0.40 tff(vertical_3_2_type, type, (
% 0.13/0.40 vertical_3_2: $o)).
% 0.13/0.40 tff(horizontal_4_2_type, type, (
% 0.13/0.40 horizontal_4_2: $o)).
% 0.13/0.40 tff(horizontal_5_2_type, type, (
% 0.13/0.40 horizontal_5_2: $o)).
% 0.13/0.40 tff(vertical_4_2_type, type, (
% 0.13/0.40 vertical_4_2: $o)).
% 0.13/0.40 tff(horizontal_5_4_type, type, (
% 0.13/0.40 horizontal_5_4: $o)).
% 0.13/0.40 tff(vertical_5_6_type, type, (
% 0.13/0.40 vertical_5_6: $o)).
% 0.13/0.40 tff(horizontal_3_1_type, type, (
% 0.13/0.40 horizontal_3_1: $o)).
% 0.13/0.40 tff(vertical_2_2_type, type, (
% 0.13/0.40 vertical_2_2: $o)).
% 0.13/0.40 tff(horizontal_2_3_type, type, (
% 0.13/0.40 horizontal_2_3: $o)).
% 0.13/0.40 tff(horizontal_3_5_type, type, (
% 0.13/0.40 horizontal_3_5: $o)).
% 0.13/0.40 tff(horizontal_3_4_type, type, (
% 0.13/0.40 horizontal_3_4: $o)).
% 0.13/0.40 tff(vertical_2_4_type, type, (
% 0.13/0.40 vertical_2_4: $o)).
% 0.13/0.40 tff(vertical_3_4_type, type, (
% 0.13/0.40 vertical_3_4: $o)).
% 0.13/0.40 tff(vertical_3_5_type, type, (
% 0.13/0.40 vertical_3_5: $o)).
% 0.13/0.40 tff(horizontal_2_4_type, type, (
% 0.13/0.40 horizontal_2_4: $o)).
% 0.13/0.40 tff(vertical_2_5_type, type, (
% 0.13/0.40 vertical_2_5: $o)).
% 0.13/0.40 tff(horizontal_3_2_type, type, (
% 0.13/0.40 horizontal_3_2: $o)).
% 0.13/0.40 tff(horizontal_1_1_type, type, (
% 0.13/0.40 horizontal_1_1: $o)).
% 0.13/0.40 tff(horizontal_2_2_type, type, (
% 0.13/0.40 horizontal_2_2: $o)).
% 0.13/0.40 tff(vertical_1_1_type, type, (
% 0.13/0.40 vertical_1_1: $o)).
% 0.13/0.40 tff(horizontal_6_5_type, type, (
% 0.13/0.40 horizontal_6_5: $o)).
% 0.13/0.40 tff(horizontal_5_3_type, type, (
% 0.13/0.40 horizontal_5_3: $o)).
% 0.13/0.40 tff(horizontal_4_3_type, type, (
% 0.13/0.40 horizontal_4_3: $o)).
% 0.13/0.40 tff(horizontal_4_1_type, type, (
% 0.13/0.40 horizontal_4_1: $o)).
% 0.13/0.40 tff(1,assumption,(horizontal_3_3), introduced(assumption)).
% 0.13/0.40 tff(2,assumption,(horizontal_1_4), introduced(assumption)).
% 0.13/0.40 tff(3,plain,
% 0.13/0.40 (((~horizontal_1_5) | (~horizontal_1_4)) <=> ((~horizontal_1_4) | (~horizontal_1_5))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(4,axiom,((~horizontal_1_5) | (~horizontal_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_1_5')).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 ((~horizontal_1_4) | (~horizontal_1_5)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.40 tff(6,plain,
% 0.13/0.40 (~horizontal_1_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[5, 2])).
% 0.13/0.40 tff(7,plain,
% 0.13/0.40 ((vertical_1_6 | horizontal_1_5) <=> (horizontal_1_5 | vertical_1_6)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(8,axiom,(vertical_1_6 | horizontal_1_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_6')).
% 0.13/0.40 tff(9,plain,
% 0.13/0.40 (horizontal_1_5 | vertical_1_6),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.13/0.40 tff(10,plain,
% 0.13/0.40 (vertical_1_6),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[9, 6])).
% 0.13/0.40 tff(11,plain,
% 0.13/0.40 (((~vertical_2_6) | (~vertical_1_6)) <=> ((~vertical_1_6) | (~vertical_2_6))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(12,axiom,((~vertical_2_6) | (~vertical_1_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_6')).
% 0.13/0.40 tff(13,plain,
% 0.13/0.40 ((~vertical_1_6) | (~vertical_2_6)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.13/0.40 tff(14,plain,
% 0.13/0.40 (~vertical_2_6),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[13, 10])).
% 0.13/0.40 tff(15,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(16,axiom,((~vertical_1_5) | (~horizontal_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_1_5')).
% 0.13/0.40 tff(17,plain,
% 0.13/0.40 ((~horizontal_1_4) | (~vertical_1_5)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.13/0.40 tff(18,plain,
% 0.13/0.40 (~vertical_1_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[17, 2])).
% 0.13/0.40 tff(19,axiom,((~horizontal_2_5) | (~vertical_1_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_2_6')).
% 0.13/0.40 tff(20,plain,
% 0.13/0.40 (~horizontal_2_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[19, 10])).
% 0.13/0.40 tff(21,assumption,(~vertical_5_2), introduced(assumption)).
% 0.13/0.40 tff(22,assumption,(~vertical_1_5), introduced(assumption)).
% 0.13/0.40 tff(23,assumption,(~horizontal_6_2), introduced(assumption)).
% 0.13/0.40 tff(24,assumption,(~horizontal_1_4), introduced(assumption)).
% 0.13/0.40 tff(25,assumption,(~horizontal_5_1), introduced(assumption)).
% 0.13/0.40 tff(26,assumption,(~vertical_4_4), introduced(assumption)).
% 0.13/0.40 tff(27,assumption,(~vertical_3_2), introduced(assumption)).
% 0.13/0.40 tff(28,assumption,(vertical_5_5), introduced(assumption)).
% 0.13/0.40 tff(29,plain,
% 0.13/0.40 (((~vertical_5_5) | (~vertical_4_5)) <=> ((~vertical_4_5) | (~vertical_5_5))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(30,axiom,((~vertical_5_5) | (~vertical_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_5_5')).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 ((~vertical_4_5) | (~vertical_5_5)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.13/0.40 tff(32,plain,
% 0.13/0.40 (~vertical_4_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[31, 28])).
% 0.13/0.40 tff(33,axiom,((~horizontal_5_5) | (~vertical_5_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_5_5')).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 (~horizontal_5_5),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[33, 28])).
% 0.13/0.40 tff(35,axiom,(~vertical_5_6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered4_6_6')).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 ((vertical_5_6 | vertical_4_6 | horizontal_5_5) <=> (vertical_5_6 | vertical_4_6 | horizontal_5_5)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(37,plain,
% 0.13/0.40 (((vertical_5_6 | horizontal_5_5) | vertical_4_6) <=> (vertical_5_6 | vertical_4_6 | horizontal_5_5)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(38,plain,
% 0.13/0.40 ((vertical_5_6 | horizontal_5_5) <=> (vertical_5_6 | horizontal_5_5)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(39,plain,
% 0.13/0.40 (((vertical_5_6 | horizontal_5_5) | vertical_4_6) <=> ((vertical_5_6 | horizontal_5_5) | vertical_4_6)),
% 0.13/0.40 inference(monotonicity,[status(thm)],[38])).
% 0.13/0.40 tff(40,plain,
% 0.13/0.40 (((vertical_5_6 | horizontal_5_5) | vertical_4_6) <=> (vertical_5_6 | vertical_4_6 | horizontal_5_5)),
% 0.13/0.40 inference(transitivity,[status(thm)],[39, 37])).
% 0.13/0.40 tff(41,axiom,((vertical_5_6 | horizontal_5_5) | vertical_4_6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_6')).
% 0.13/0.40 tff(42,plain,
% 0.13/0.40 (vertical_5_6 | vertical_4_6 | horizontal_5_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.13/0.40 tff(43,plain,
% 0.13/0.40 (vertical_5_6 | vertical_4_6 | horizontal_5_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[42, 36])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 (vertical_5_6 | vertical_4_6 | horizontal_5_5),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.13/0.41 tff(45,plain,
% 0.13/0.41 (vertical_5_6 | vertical_4_6 | horizontal_5_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[44, 36])).
% 0.13/0.41 tff(46,plain,
% 0.13/0.41 (vertical_4_6 | horizontal_5_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[45, 35])).
% 0.13/0.41 tff(47,plain,
% 0.13/0.41 (vertical_4_6),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[46, 34])).
% 0.13/0.41 tff(48,plain,
% 0.13/0.41 (((~vertical_4_6) | (~horizontal_4_5)) <=> ((~horizontal_4_5) | (~vertical_4_6))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(49,axiom,((~vertical_4_6) | (~horizontal_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_6')).
% 0.13/0.41 tff(50,plain,
% 0.13/0.41 ((~horizontal_4_5) | (~vertical_4_6)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.13/0.41 tff(51,plain,
% 0.13/0.41 (~horizontal_4_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[50, 47])).
% 0.13/0.41 tff(52,plain,
% 0.13/0.41 (((~vertical_4_6) | (~vertical_3_6)) <=> ((~vertical_3_6) | (~vertical_4_6))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(53,axiom,((~vertical_4_6) | (~vertical_3_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_6')).
% 0.13/0.41 tff(54,plain,
% 0.13/0.41 ((~vertical_3_6) | (~vertical_4_6)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.13/0.41 tff(55,plain,
% 0.13/0.41 (~vertical_3_6),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[54, 47])).
% 0.13/0.41 tff(56,assumption,(~horizontal_3_1), introduced(assumption)).
% 0.13/0.41 tff(57,assumption,(~vertical_4_5), introduced(assumption)).
% 0.13/0.41 tff(58,assumption,(~horizontal_4_5), introduced(assumption)).
% 0.13/0.41 tff(59,assumption,(~vertical_3_6), introduced(assumption)).
% 0.13/0.41 tff(60,assumption,(horizontal_2_3), introduced(assumption)).
% 0.13/0.41 tff(61,plain,
% 0.13/0.41 (((~vertical_2_4) | (~horizontal_2_3)) <=> ((~horizontal_2_3) | (~vertical_2_4))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(62,axiom,((~vertical_2_4) | (~horizontal_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_4')).
% 0.13/0.41 tff(63,plain,
% 0.13/0.41 ((~horizontal_2_3) | (~vertical_2_4)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.13/0.41 tff(64,plain,
% 0.13/0.41 (~vertical_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[63, 60])).
% 0.13/0.41 tff(65,plain,
% 0.13/0.41 (((~horizontal_2_4) | (~horizontal_2_3)) <=> ((~horizontal_2_3) | (~horizontal_2_4))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(66,axiom,((~horizontal_2_4) | (~horizontal_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_2_4')).
% 0.13/0.41 tff(67,plain,
% 0.13/0.41 ((~horizontal_2_3) | (~horizontal_2_4)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.13/0.41 tff(68,plain,
% 0.13/0.41 (~horizontal_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[67, 60])).
% 0.13/0.41 tff(69,assumption,(vertical_3_5), introduced(assumption)).
% 0.13/0.41 tff(70,axiom,((~horizontal_3_5) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_5')).
% 0.13/0.41 tff(71,plain,
% 0.13/0.41 (~horizontal_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.13/0.41 tff(72,plain,
% 0.13/0.41 ((vertical_2_6 | horizontal_3_5 | vertical_3_6) <=> (vertical_2_6 | horizontal_3_5 | vertical_3_6)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(73,plain,
% 0.13/0.41 (((horizontal_3_5 | vertical_3_6) | vertical_2_6) <=> (vertical_2_6 | horizontal_3_5 | vertical_3_6)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(74,plain,
% 0.13/0.41 ((vertical_3_6 | horizontal_3_5) <=> (horizontal_3_5 | vertical_3_6)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(75,plain,
% 0.13/0.41 (((vertical_3_6 | horizontal_3_5) | vertical_2_6) <=> ((horizontal_3_5 | vertical_3_6) | vertical_2_6)),
% 0.13/0.41 inference(monotonicity,[status(thm)],[74])).
% 0.13/0.41 tff(76,plain,
% 0.13/0.41 (((vertical_3_6 | horizontal_3_5) | vertical_2_6) <=> (vertical_2_6 | horizontal_3_5 | vertical_3_6)),
% 0.13/0.41 inference(transitivity,[status(thm)],[75, 73])).
% 0.13/0.41 tff(77,axiom,((vertical_3_6 | horizontal_3_5) | vertical_2_6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_6')).
% 0.13/0.41 tff(78,plain,
% 0.13/0.41 (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.13/0.41 tff(79,plain,
% 0.13/0.41 (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[78, 72])).
% 0.13/0.41 tff(80,plain,
% 0.13/0.41 (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[79, 72])).
% 0.13/0.41 tff(81,plain,
% 0.13/0.41 (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[80, 72])).
% 0.13/0.41 tff(82,plain,
% 0.13/0.41 (vertical_2_6),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[81, 71, 59])).
% 0.13/0.41 tff(83,assumption,(~horizontal_2_4), introduced(assumption)).
% 0.13/0.41 tff(84,plain,
% 0.13/0.41 (((~vertical_3_5) | (~vertical_2_5)) <=> ((~vertical_2_5) | (~vertical_3_5))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(85,axiom,((~vertical_3_5) | (~vertical_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_5')).
% 0.13/0.41 tff(86,plain,
% 0.13/0.41 ((~vertical_2_5) | (~vertical_3_5)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.13/0.41 tff(87,plain,
% 0.13/0.41 (~vertical_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[86, 69])).
% 0.13/0.41 tff(88,plain,
% 0.13/0.41 ((vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5) <=> (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(89,plain,
% 0.13/0.41 (((horizontal_2_4 | horizontal_2_5 | vertical_2_5) | vertical_1_5) <=> (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(90,plain,
% 0.13/0.41 (((horizontal_2_5 | vertical_2_5) | horizontal_2_4) <=> (horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(91,plain,
% 0.13/0.41 ((((horizontal_2_5 | vertical_2_5) | horizontal_2_4) | vertical_1_5) <=> ((horizontal_2_4 | horizontal_2_5 | vertical_2_5) | vertical_1_5)),
% 0.13/0.41 inference(monotonicity,[status(thm)],[90])).
% 0.13/0.41 tff(92,plain,
% 0.13/0.41 ((((horizontal_2_5 | vertical_2_5) | horizontal_2_4) | vertical_1_5) <=> (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.13/0.41 inference(transitivity,[status(thm)],[91, 89])).
% 0.13/0.41 tff(93,axiom,(((horizontal_2_5 | vertical_2_5) | horizontal_2_4) | vertical_1_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_5')).
% 0.13/0.41 tff(94,plain,
% 0.13/0.41 (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.13/0.41 tff(95,plain,
% 0.13/0.41 (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[94, 88])).
% 0.13/0.41 tff(96,plain,
% 0.13/0.41 (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.13/0.41 tff(97,plain,
% 0.13/0.41 (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[96, 88])).
% 0.13/0.41 tff(98,plain,
% 0.13/0.41 (horizontal_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[97, 87, 22, 83])).
% 0.13/0.41 tff(99,plain,
% 0.13/0.41 (((~vertical_2_6) | (~horizontal_2_5)) <=> ((~horizontal_2_5) | (~vertical_2_6))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(100,axiom,((~vertical_2_6) | (~horizontal_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_6')).
% 0.13/0.41 tff(101,plain,
% 0.13/0.41 ((~horizontal_2_5) | (~vertical_2_6)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.13/0.41 tff(102,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[101, 98, 82])).
% 0.13/0.41 tff(103,plain,((~vertical_3_5) | vertical_1_5 | horizontal_2_4 | vertical_3_6), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(104,plain,
% 0.13/0.41 (~vertical_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[103, 68, 22, 59])).
% 0.13/0.41 tff(105,plain,
% 0.13/0.41 ((vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5) <=> (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(106,plain,
% 0.13/0.41 (((horizontal_4_4 | horizontal_4_5 | vertical_4_5) | vertical_3_5) <=> (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(107,plain,
% 0.13/0.41 (((horizontal_4_5 | vertical_4_5) | horizontal_4_4) <=> (horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(108,plain,
% 0.13/0.41 ((((horizontal_4_5 | vertical_4_5) | horizontal_4_4) | vertical_3_5) <=> ((horizontal_4_4 | horizontal_4_5 | vertical_4_5) | vertical_3_5)),
% 0.13/0.41 inference(monotonicity,[status(thm)],[107])).
% 0.13/0.41 tff(109,plain,
% 0.13/0.41 ((((horizontal_4_5 | vertical_4_5) | horizontal_4_4) | vertical_3_5) <=> (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.13/0.41 inference(transitivity,[status(thm)],[108, 106])).
% 0.13/0.41 tff(110,axiom,(((horizontal_4_5 | vertical_4_5) | horizontal_4_4) | vertical_3_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_5')).
% 0.13/0.41 tff(111,plain,
% 0.13/0.41 (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.13/0.41 tff(112,plain,
% 0.13/0.41 (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[111, 105])).
% 0.13/0.41 tff(113,plain,
% 0.13/0.41 (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[112, 105])).
% 0.13/0.41 tff(114,plain,
% 0.13/0.41 (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[113, 105])).
% 0.13/0.41 tff(115,plain,
% 0.13/0.41 (horizontal_4_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[114, 104, 58, 57])).
% 0.13/0.41 tff(116,axiom,((~horizontal_4_4) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_4')).
% 0.13/0.41 tff(117,plain,
% 0.13/0.41 (~vertical_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[116, 115])).
% 0.13/0.41 tff(118,axiom,((~horizontal_2_3) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_2_4')).
% 0.13/0.41 tff(119,plain,
% 0.13/0.41 (~vertical_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[118, 60])).
% 0.13/0.41 tff(120,plain,
% 0.13/0.41 (((horizontal_1_4 | vertical_1_4) | horizontal_1_3) <=> (horizontal_1_3 | horizontal_1_4 | vertical_1_4)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(121,axiom,((horizontal_1_4 | vertical_1_4) | horizontal_1_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_4')).
% 0.13/0.41 tff(122,plain,
% 0.13/0.41 (horizontal_1_3 | horizontal_1_4 | vertical_1_4),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.13/0.41 tff(123,plain,
% 0.13/0.41 (horizontal_1_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[122, 119, 24])).
% 0.13/0.41 tff(124,plain,
% 0.13/0.41 (((~horizontal_1_3) | (~horizontal_1_2)) <=> ((~horizontal_1_2) | (~horizontal_1_3))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(125,axiom,((~horizontal_1_3) | (~horizontal_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_1_3')).
% 0.13/0.41 tff(126,plain,
% 0.13/0.41 ((~horizontal_1_2) | (~horizontal_1_3)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.13/0.41 tff(127,plain,
% 0.13/0.41 (~horizontal_1_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[126, 123])).
% 0.13/0.41 tff(128,axiom,(~horizontal_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered1_1_1')).
% 0.13/0.41 tff(129,plain,
% 0.13/0.41 (((horizontal_1_2 | vertical_1_2) | horizontal_1_1) <=> (horizontal_1_1 | horizontal_1_2 | vertical_1_2)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(130,axiom,((horizontal_1_2 | vertical_1_2) | horizontal_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_2')).
% 0.13/0.41 tff(131,plain,
% 0.13/0.41 (horizontal_1_1 | horizontal_1_2 | vertical_1_2),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.13/0.41 tff(132,plain,
% 0.13/0.41 (horizontal_1_2 | vertical_1_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[131, 128])).
% 0.13/0.41 tff(133,plain,
% 0.13/0.41 (vertical_1_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[132, 127])).
% 0.13/0.41 tff(134,plain,
% 0.13/0.41 (((~vertical_2_2) | (~vertical_1_2)) <=> ((~vertical_1_2) | (~vertical_2_2))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(135,axiom,((~vertical_2_2) | (~vertical_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_2')).
% 0.13/0.41 tff(136,plain,
% 0.13/0.41 ((~vertical_1_2) | (~vertical_2_2)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.13/0.41 tff(137,plain,
% 0.13/0.41 (~vertical_2_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[136, 133])).
% 0.13/0.41 tff(138,plain,
% 0.13/0.41 ((vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2) <=> (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(139,plain,
% 0.13/0.41 (((horizontal_3_1 | horizontal_3_2 | vertical_3_2) | vertical_2_2) <=> (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(140,plain,
% 0.13/0.41 (((horizontal_3_2 | vertical_3_2) | horizontal_3_1) <=> (horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(141,plain,
% 0.13/0.41 ((((horizontal_3_2 | vertical_3_2) | horizontal_3_1) | vertical_2_2) <=> ((horizontal_3_1 | horizontal_3_2 | vertical_3_2) | vertical_2_2)),
% 0.13/0.41 inference(monotonicity,[status(thm)],[140])).
% 0.13/0.41 tff(142,plain,
% 0.13/0.41 ((((horizontal_3_2 | vertical_3_2) | horizontal_3_1) | vertical_2_2) <=> (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.13/0.41 inference(transitivity,[status(thm)],[141, 139])).
% 0.13/0.41 tff(143,axiom,(((horizontal_3_2 | vertical_3_2) | horizontal_3_1) | vertical_2_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_2')).
% 0.13/0.41 tff(144,plain,
% 0.13/0.41 (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.13/0.41 tff(145,plain,
% 0.13/0.41 (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[144, 138])).
% 0.13/0.41 tff(146,plain,
% 0.13/0.41 (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[145, 138])).
% 0.13/0.41 tff(147,plain,
% 0.13/0.41 (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[146, 138])).
% 0.13/0.41 tff(148,plain,
% 0.13/0.41 (horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[147, 137, 56, 27])).
% 0.13/0.41 tff(149,plain,
% 0.13/0.41 (((~horizontal_3_3) | (~horizontal_3_2)) <=> ((~horizontal_3_2) | (~horizontal_3_3))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(150,axiom,((~horizontal_3_3) | (~horizontal_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_3')).
% 0.13/0.41 tff(151,plain,
% 0.13/0.41 ((~horizontal_3_2) | (~horizontal_3_3)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.13/0.41 tff(152,plain,
% 0.13/0.41 (~horizontal_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[151, 148])).
% 0.13/0.41 tff(153,plain,
% 0.13/0.41 ((vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4) <=> (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(154,plain,
% 0.13/0.41 (((horizontal_3_3 | horizontal_3_4 | vertical_3_4) | vertical_2_4) <=> (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(155,plain,
% 0.13/0.41 (((horizontal_3_4 | vertical_3_4) | horizontal_3_3) <=> (horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(156,plain,
% 0.13/0.41 ((((horizontal_3_4 | vertical_3_4) | horizontal_3_3) | vertical_2_4) <=> ((horizontal_3_3 | horizontal_3_4 | vertical_3_4) | vertical_2_4)),
% 0.13/0.41 inference(monotonicity,[status(thm)],[155])).
% 0.13/0.41 tff(157,plain,
% 0.13/0.41 ((((horizontal_3_4 | vertical_3_4) | horizontal_3_3) | vertical_2_4) <=> (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.13/0.41 inference(transitivity,[status(thm)],[156, 154])).
% 0.13/0.41 tff(158,axiom,(((horizontal_3_4 | vertical_3_4) | horizontal_3_3) | vertical_2_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_4')).
% 0.13/0.41 tff(159,plain,
% 0.13/0.41 (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.13/0.41 tff(160,plain,
% 0.13/0.41 (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[159, 153])).
% 0.13/0.41 tff(161,plain,
% 0.13/0.41 (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[160, 153])).
% 0.13/0.41 tff(162,plain,
% 0.13/0.41 (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[161, 153])).
% 0.13/0.41 tff(163,plain,
% 0.13/0.41 (horizontal_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[162, 152, 117, 64])).
% 0.13/0.41 tff(164,plain,
% 0.13/0.41 (((~horizontal_3_5) | (~horizontal_3_4)) <=> ((~horizontal_3_4) | (~horizontal_3_5))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(165,axiom,((~horizontal_3_5) | (~horizontal_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_5')).
% 0.13/0.41 tff(166,plain,
% 0.13/0.41 ((~horizontal_3_4) | (~horizontal_3_5)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.13/0.41 tff(167,plain,
% 0.13/0.41 (~horizontal_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[166, 163])).
% 0.13/0.41 tff(168,plain,
% 0.13/0.41 (vertical_2_6),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[81, 167, 59])).
% 0.13/0.41 tff(169,axiom,((~horizontal_3_4) | (~vertical_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_5')).
% 0.13/0.41 tff(170,plain,
% 0.13/0.41 (~vertical_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[169, 163])).
% 0.13/0.41 tff(171,plain,
% 0.13/0.41 (horizontal_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[97, 170, 22, 68])).
% 0.13/0.41 tff(172,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[101, 171, 168])).
% 0.13/0.41 tff(173,plain,((~horizontal_2_3) | vertical_1_5 | vertical_3_6 | horizontal_3_1 | vertical_3_2 | horizontal_4_5 | vertical_4_5 | horizontal_1_4), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(174,plain,
% 0.13/0.41 (~horizontal_2_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[173, 56, 59, 22, 27, 58, 57, 24])).
% 0.13/0.41 tff(175,assumption,(~horizontal_2_3), introduced(assumption)).
% 0.13/0.41 tff(176,assumption,(~vertical_1_3), introduced(assumption)).
% 0.13/0.41 tff(177,plain,
% 0.13/0.41 (~horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[151, 1])).
% 0.13/0.41 tff(178,plain,
% 0.13/0.41 (vertical_2_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[147, 177, 56, 27])).
% 0.13/0.41 tff(179,axiom,((~horizontal_3_3) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_3')).
% 0.13/0.41 tff(180,plain,
% 0.13/0.41 (~vertical_2_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[179, 1])).
% 0.13/0.41 tff(181,plain,
% 0.13/0.41 ((vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3) <=> (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(182,plain,
% 0.13/0.41 (((horizontal_2_2 | horizontal_2_3 | vertical_2_3) | vertical_1_3) <=> (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(183,plain,
% 0.13/0.41 (((horizontal_2_3 | vertical_2_3) | horizontal_2_2) <=> (horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(184,plain,
% 0.13/0.41 ((((horizontal_2_3 | vertical_2_3) | horizontal_2_2) | vertical_1_3) <=> ((horizontal_2_2 | horizontal_2_3 | vertical_2_3) | vertical_1_3)),
% 0.13/0.41 inference(monotonicity,[status(thm)],[183])).
% 0.13/0.41 tff(185,plain,
% 0.13/0.41 ((((horizontal_2_3 | vertical_2_3) | horizontal_2_2) | vertical_1_3) <=> (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.13/0.41 inference(transitivity,[status(thm)],[184, 182])).
% 0.13/0.41 tff(186,axiom,(((horizontal_2_3 | vertical_2_3) | horizontal_2_2) | vertical_1_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_3')).
% 0.13/0.41 tff(187,plain,
% 0.13/0.41 (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.13/0.41 tff(188,plain,
% 0.13/0.41 (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[187, 181])).
% 0.13/0.41 tff(189,plain,
% 0.13/0.41 (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[188, 181])).
% 0.13/0.41 tff(190,plain,
% 0.13/0.41 (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[189, 181])).
% 0.13/0.41 tff(191,plain,
% 0.13/0.41 (horizontal_2_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[190, 180, 176, 175])).
% 0.13/0.41 tff(192,axiom,((~horizontal_2_2) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_2_2')).
% 0.13/0.41 tff(193,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[192, 191, 178])).
% 0.13/0.41 tff(194,plain,((~horizontal_3_3) | vertical_1_3 | horizontal_2_3 | horizontal_3_1 | vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(195,plain,
% 0.13/0.41 (~horizontal_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[194, 175, 176, 56, 27])).
% 0.13/0.41 tff(196,assumption,(vertical_1_4), introduced(assumption)).
% 0.13/0.41 tff(197,plain,
% 0.13/0.41 (((~vertical_2_4) | (~vertical_1_4)) <=> ((~vertical_1_4) | (~vertical_2_4))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(198,axiom,((~vertical_2_4) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_4')).
% 0.13/0.41 tff(199,plain,
% 0.13/0.41 ((~vertical_1_4) | (~vertical_2_4)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.13/0.41 tff(200,plain,
% 0.13/0.41 (~vertical_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[199, 196])).
% 0.13/0.41 tff(201,assumption,(~horizontal_3_3), introduced(assumption)).
% 0.13/0.41 tff(202,axiom,((~horizontal_2_4) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_2_4')).
% 0.13/0.41 tff(203,plain,
% 0.13/0.41 (~horizontal_2_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[202, 196])).
% 0.13/0.41 tff(204,plain,
% 0.13/0.41 (~vertical_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[103, 203, 22, 59])).
% 0.13/0.41 tff(205,plain,
% 0.13/0.41 (horizontal_4_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[114, 204, 58, 57])).
% 0.13/0.41 tff(206,plain,
% 0.13/0.41 (~vertical_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[116, 205])).
% 0.13/0.41 tff(207,plain,
% 0.13/0.41 (horizontal_3_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[162, 206, 201, 200])).
% 0.13/0.41 tff(208,plain,
% 0.13/0.41 (~horizontal_3_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[166, 207])).
% 0.13/0.41 tff(209,plain,
% 0.13/0.41 (vertical_2_6),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[81, 208, 59])).
% 0.13/0.41 tff(210,plain,
% 0.13/0.41 (~vertical_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[169, 207])).
% 0.13/0.41 tff(211,plain,
% 0.13/0.41 (horizontal_2_5),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[97, 210, 22, 203])).
% 0.13/0.41 tff(212,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[101, 211, 209])).
% 0.13/0.41 tff(213,plain,((~vertical_1_4) | vertical_1_5 | vertical_3_6 | horizontal_3_3 | horizontal_4_5 | vertical_4_5), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(214,plain,
% 0.13/0.41 (~vertical_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[213, 195, 59, 22, 58, 57])).
% 0.13/0.41 tff(215,plain,
% 0.13/0.41 (horizontal_1_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[122, 214, 24])).
% 0.13/0.41 tff(216,plain,
% 0.13/0.41 (~horizontal_1_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[126, 215])).
% 0.13/0.41 tff(217,plain,
% 0.13/0.41 (vertical_1_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[132, 216])).
% 0.13/0.41 tff(218,axiom,((~horizontal_2_2) | (~vertical_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_2_2')).
% 0.13/0.41 tff(219,plain,
% 0.13/0.41 (~horizontal_2_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[218, 217])).
% 0.13/0.41 tff(220,plain,
% 0.13/0.41 (vertical_2_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[190, 219, 176, 175])).
% 0.13/0.41 tff(221,plain,
% 0.13/0.41 (~vertical_2_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[136, 217])).
% 0.13/0.41 tff(222,plain,
% 0.13/0.41 (horizontal_3_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[147, 221, 56, 27])).
% 0.13/0.41 tff(223,axiom,((~horizontal_3_2) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_3')).
% 0.13/0.41 tff(224,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[223, 222, 220])).
% 0.13/0.41 tff(225,plain,(horizontal_2_3 | horizontal_3_1 | vertical_3_2 | vertical_1_3 | horizontal_1_4 | vertical_3_6 | vertical_1_5 | horizontal_4_5 | vertical_4_5), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(226,plain,
% 0.13/0.41 (vertical_1_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[225, 174, 27, 56, 24, 59, 22, 58, 57])).
% 0.13/0.41 tff(227,plain,
% 0.13/0.41 (((~vertical_1_3) | (~horizontal_1_2)) <=> ((~horizontal_1_2) | (~vertical_1_3))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(228,axiom,((~vertical_1_3) | (~horizontal_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_1_3')).
% 0.13/0.41 tff(229,plain,
% 0.13/0.41 ((~horizontal_1_2) | (~vertical_1_3)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.13/0.41 tff(230,plain,
% 0.13/0.41 (~horizontal_1_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[229, 226])).
% 0.13/0.41 tff(231,plain,
% 0.13/0.41 (vertical_1_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[132, 230])).
% 0.13/0.41 tff(232,plain,
% 0.13/0.41 (~vertical_2_2),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[136, 231])).
% 0.13/0.41 tff(233,axiom,((~horizontal_1_3) | (~vertical_1_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_1_3')).
% 0.13/0.41 tff(234,plain,
% 0.13/0.41 (~horizontal_1_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[233, 226])).
% 0.13/0.41 tff(235,plain,
% 0.13/0.41 (vertical_1_4),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[122, 234, 24])).
% 0.13/0.41 tff(236,plain,
% 0.13/0.41 (horizontal_3_3),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[213, 235, 59, 22, 58, 57])).
% 0.13/0.41 tff(237,plain,
% 0.13/0.41 (~horizontal_3_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[151, 236])).
% 0.13/0.42 tff(238,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[147, 237, 232, 56, 27])).
% 0.13/0.42 tff(239,plain,(horizontal_3_1 | vertical_3_2 | vertical_3_6 | vertical_1_5 | horizontal_4_5 | vertical_4_5 | horizontal_1_4), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(240,plain,
% 0.13/0.42 (horizontal_3_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[239, 55, 27, 22, 51, 32, 24])).
% 0.13/0.42 tff(241,axiom,((~horizontal_3_1) | (~vertical_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_1')).
% 0.13/0.42 tff(242,plain,
% 0.13/0.42 (~vertical_2_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[241, 240])).
% 0.13/0.42 tff(243,axiom,(~vertical_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered2_1_1')).
% 0.13/0.42 tff(244,plain,
% 0.13/0.42 ((vertical_1_1 | horizontal_2_1 | vertical_2_1) <=> (vertical_1_1 | horizontal_2_1 | vertical_2_1)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(245,plain,
% 0.13/0.42 (((horizontal_2_1 | vertical_2_1) | vertical_1_1) <=> (vertical_1_1 | horizontal_2_1 | vertical_2_1)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(246,axiom,((horizontal_2_1 | vertical_2_1) | vertical_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_1')).
% 0.13/0.42 tff(247,plain,
% 0.13/0.42 (vertical_1_1 | horizontal_2_1 | vertical_2_1),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.13/0.42 tff(248,plain,
% 0.13/0.42 (vertical_1_1 | horizontal_2_1 | vertical_2_1),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[247, 244])).
% 0.13/0.42 tff(249,plain,
% 0.13/0.42 (vertical_1_1 | horizontal_2_1 | vertical_2_1),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[248, 244])).
% 0.13/0.42 tff(250,plain,
% 0.13/0.42 (vertical_1_1 | horizontal_2_1 | vertical_2_1),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[249, 244])).
% 0.13/0.42 tff(251,plain,
% 0.13/0.42 (horizontal_2_1 | vertical_2_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[250, 243])).
% 0.13/0.42 tff(252,plain,
% 0.13/0.42 (horizontal_2_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[251, 242])).
% 0.13/0.42 tff(253,axiom,((~horizontal_2_1) | (~vertical_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_2_2')).
% 0.13/0.42 tff(254,plain,
% 0.13/0.42 (~vertical_1_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[253, 252])).
% 0.13/0.42 tff(255,plain,
% 0.13/0.42 (horizontal_1_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[132, 254])).
% 0.13/0.42 tff(256,plain,
% 0.13/0.42 (~horizontal_1_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[126, 255])).
% 0.13/0.42 tff(257,plain,
% 0.13/0.42 (vertical_1_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[122, 256, 24])).
% 0.13/0.42 tff(258,plain,
% 0.13/0.42 (horizontal_3_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[213, 257, 55, 22, 51, 32])).
% 0.13/0.42 tff(259,plain,
% 0.13/0.42 (~vertical_1_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[229, 255])).
% 0.13/0.42 tff(260,plain,
% 0.13/0.42 (((~horizontal_2_2) | (~horizontal_2_1)) <=> ((~horizontal_2_1) | (~horizontal_2_2))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(261,axiom,((~horizontal_2_2) | (~horizontal_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_2_2')).
% 0.13/0.42 tff(262,plain,
% 0.13/0.42 ((~horizontal_2_1) | (~horizontal_2_2)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.13/0.42 tff(263,plain,
% 0.13/0.42 (~horizontal_2_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[262, 252])).
% 0.13/0.42 tff(264,plain,
% 0.13/0.42 (~horizontal_2_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[118, 257])).
% 0.13/0.42 tff(265,plain,
% 0.13/0.42 (vertical_2_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[190, 264, 263, 259])).
% 0.13/0.42 tff(266,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[179, 265, 258])).
% 0.13/0.42 tff(267,plain,((~vertical_5_5) | vertical_1_5 | horizontal_1_4 | vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(268,plain,
% 0.13/0.42 (~vertical_5_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[267, 27, 24, 22])).
% 0.13/0.42 tff(269,axiom,(~horizontal_6_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered3_6_6')).
% 0.13/0.42 tff(270,plain,
% 0.13/0.42 ((horizontal_6_5 | vertical_5_5 | horizontal_6_4) <=> (horizontal_6_5 | vertical_5_5 | horizontal_6_4)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(271,plain,
% 0.13/0.42 (((horizontal_6_5 | horizontal_6_4) | vertical_5_5) <=> (horizontal_6_5 | vertical_5_5 | horizontal_6_4)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(272,plain,
% 0.13/0.42 ((horizontal_6_5 | horizontal_6_4) <=> (horizontal_6_5 | horizontal_6_4)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(273,plain,
% 0.13/0.42 (((horizontal_6_5 | horizontal_6_4) | vertical_5_5) <=> ((horizontal_6_5 | horizontal_6_4) | vertical_5_5)),
% 0.13/0.42 inference(monotonicity,[status(thm)],[272])).
% 0.13/0.42 tff(274,plain,
% 0.13/0.42 (((horizontal_6_5 | horizontal_6_4) | vertical_5_5) <=> (horizontal_6_5 | vertical_5_5 | horizontal_6_4)),
% 0.13/0.42 inference(transitivity,[status(thm)],[273, 271])).
% 0.13/0.42 tff(275,axiom,((horizontal_6_5 | horizontal_6_4) | vertical_5_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_6_5')).
% 0.13/0.42 tff(276,plain,
% 0.13/0.42 (horizontal_6_5 | vertical_5_5 | horizontal_6_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.13/0.42 tff(277,plain,
% 0.13/0.42 (horizontal_6_5 | vertical_5_5 | horizontal_6_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[276, 270])).
% 0.13/0.42 tff(278,plain,
% 0.13/0.42 (horizontal_6_5 | vertical_5_5 | horizontal_6_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[277, 270])).
% 0.13/0.42 tff(279,plain,
% 0.13/0.42 (horizontal_6_5 | vertical_5_5 | horizontal_6_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[278, 270])).
% 0.13/0.42 tff(280,plain,
% 0.13/0.42 (vertical_5_5 | horizontal_6_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[279, 269])).
% 0.13/0.42 tff(281,plain,
% 0.13/0.42 (horizontal_6_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[280, 268])).
% 0.13/0.42 tff(282,axiom,((~horizontal_6_4) | (~vertical_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_6_4')).
% 0.13/0.42 tff(283,plain,
% 0.13/0.42 (~vertical_5_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[282, 281])).
% 0.13/0.42 tff(284,plain,
% 0.13/0.42 (((~horizontal_6_4) | (~horizontal_6_3)) <=> ((~horizontal_6_3) | (~horizontal_6_4))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(285,axiom,((~horizontal_6_4) | (~horizontal_6_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_6_4')).
% 0.13/0.42 tff(286,plain,
% 0.13/0.42 ((~horizontal_6_3) | (~horizontal_6_4)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.13/0.42 tff(287,plain,
% 0.13/0.42 (~horizontal_6_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[286, 281])).
% 0.13/0.42 tff(288,plain,
% 0.13/0.42 ((vertical_5_3 | horizontal_6_2 | horizontal_6_3) <=> (vertical_5_3 | horizontal_6_2 | horizontal_6_3)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(289,plain,
% 0.13/0.42 (((horizontal_6_2 | horizontal_6_3) | vertical_5_3) <=> (vertical_5_3 | horizontal_6_2 | horizontal_6_3)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(290,plain,
% 0.13/0.42 ((horizontal_6_3 | horizontal_6_2) <=> (horizontal_6_2 | horizontal_6_3)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(291,plain,
% 0.13/0.42 (((horizontal_6_3 | horizontal_6_2) | vertical_5_3) <=> ((horizontal_6_2 | horizontal_6_3) | vertical_5_3)),
% 0.13/0.42 inference(monotonicity,[status(thm)],[290])).
% 0.13/0.42 tff(292,plain,
% 0.13/0.42 (((horizontal_6_3 | horizontal_6_2) | vertical_5_3) <=> (vertical_5_3 | horizontal_6_2 | horizontal_6_3)),
% 0.13/0.42 inference(transitivity,[status(thm)],[291, 289])).
% 0.13/0.42 tff(293,axiom,((horizontal_6_3 | horizontal_6_2) | vertical_5_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_6_3')).
% 0.13/0.42 tff(294,plain,
% 0.13/0.42 (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.13/0.42 tff(295,plain,
% 0.13/0.42 (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[294, 288])).
% 0.13/0.42 tff(296,plain,
% 0.13/0.42 (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[295, 288])).
% 0.13/0.42 tff(297,plain,
% 0.13/0.42 (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[296, 288])).
% 0.13/0.42 tff(298,plain,
% 0.13/0.42 (vertical_5_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[297, 287, 23])).
% 0.13/0.42 tff(299,axiom,((~horizontal_5_3) | (~vertical_5_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_5_3')).
% 0.13/0.42 tff(300,plain,
% 0.13/0.42 (~horizontal_5_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[299, 298])).
% 0.13/0.42 tff(301,plain,
% 0.13/0.42 ((vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4) <=> (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(302,plain,
% 0.13/0.42 (((horizontal_5_3 | horizontal_5_4 | vertical_5_4) | vertical_4_4) <=> (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(303,plain,
% 0.13/0.42 (((horizontal_5_4 | vertical_5_4) | horizontal_5_3) <=> (horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(304,plain,
% 0.13/0.42 ((((horizontal_5_4 | vertical_5_4) | horizontal_5_3) | vertical_4_4) <=> ((horizontal_5_3 | horizontal_5_4 | vertical_5_4) | vertical_4_4)),
% 0.13/0.42 inference(monotonicity,[status(thm)],[303])).
% 0.13/0.42 tff(305,plain,
% 0.13/0.42 ((((horizontal_5_4 | vertical_5_4) | horizontal_5_3) | vertical_4_4) <=> (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.13/0.42 inference(transitivity,[status(thm)],[304, 302])).
% 0.13/0.42 tff(306,axiom,(((horizontal_5_4 | vertical_5_4) | horizontal_5_3) | vertical_4_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_4')).
% 0.13/0.42 tff(307,plain,
% 0.13/0.42 (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.13/0.42 tff(308,plain,
% 0.13/0.42 (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[307, 301])).
% 0.13/0.42 tff(309,plain,
% 0.13/0.42 (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[308, 301])).
% 0.13/0.42 tff(310,plain,
% 0.13/0.42 (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[309, 301])).
% 0.13/0.42 tff(311,plain,
% 0.13/0.42 (horizontal_5_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[310, 300, 26, 283])).
% 0.13/0.42 tff(312,axiom,((~horizontal_5_4) | (~vertical_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_5')).
% 0.13/0.42 tff(313,plain,
% 0.13/0.42 (~vertical_4_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[312, 311])).
% 0.13/0.42 tff(314,plain,
% 0.13/0.42 (((~horizontal_5_5) | (~horizontal_5_4)) <=> ((~horizontal_5_4) | (~horizontal_5_5))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(315,axiom,((~horizontal_5_5) | (~horizontal_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_5')).
% 0.13/0.42 tff(316,plain,
% 0.13/0.42 ((~horizontal_5_4) | (~horizontal_5_5)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[315, 314])).
% 0.13/0.42 tff(317,plain,
% 0.13/0.42 (~horizontal_5_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[316, 311])).
% 0.13/0.42 tff(318,plain,
% 0.13/0.42 (vertical_4_6),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[46, 317])).
% 0.13/0.42 tff(319,plain,
% 0.13/0.42 (~horizontal_4_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[50, 318])).
% 0.13/0.42 tff(320,plain,
% 0.13/0.42 (~vertical_3_6),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[54, 318])).
% 0.13/0.42 tff(321,plain,
% 0.13/0.42 (horizontal_3_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[239, 320, 27, 22, 319, 313, 24])).
% 0.13/0.42 tff(322,plain,
% 0.13/0.42 (~vertical_2_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[241, 321])).
% 0.13/0.42 tff(323,plain,
% 0.13/0.42 (horizontal_2_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[251, 322])).
% 0.13/0.42 tff(324,plain,
% 0.13/0.42 (~vertical_1_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[253, 323])).
% 0.13/0.42 tff(325,plain,
% 0.13/0.42 (horizontal_1_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[132, 324])).
% 0.13/0.42 tff(326,plain,
% 0.13/0.42 (~horizontal_1_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[126, 325])).
% 0.13/0.42 tff(327,plain,
% 0.13/0.42 (vertical_1_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[122, 326, 24])).
% 0.13/0.42 tff(328,plain,
% 0.13/0.42 (horizontal_3_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[213, 327, 320, 22, 319, 313])).
% 0.13/0.42 tff(329,plain,
% 0.13/0.42 (~vertical_1_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[229, 325])).
% 0.13/0.42 tff(330,plain,
% 0.13/0.42 (~horizontal_2_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[262, 323])).
% 0.13/0.42 tff(331,plain,
% 0.13/0.42 (~horizontal_2_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[118, 327])).
% 0.13/0.42 tff(332,plain,
% 0.13/0.42 (vertical_2_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[190, 331, 330, 329])).
% 0.13/0.42 tff(333,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[179, 332, 328])).
% 0.13/0.42 tff(334,plain,(vertical_3_2 | vertical_1_5 | horizontal_1_4 | vertical_4_4 | horizontal_6_2), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(335,plain,
% 0.13/0.42 (vertical_3_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[334, 26, 24, 22, 23])).
% 0.13/0.42 tff(336,plain,
% 0.13/0.42 (((~vertical_4_2) | (~vertical_3_2)) <=> ((~vertical_3_2) | (~vertical_4_2))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(337,axiom,((~vertical_4_2) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_2')).
% 0.13/0.42 tff(338,plain,
% 0.13/0.42 ((~vertical_3_2) | (~vertical_4_2)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.13/0.42 tff(339,plain,
% 0.13/0.42 (~vertical_4_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[338, 335])).
% 0.13/0.42 tff(340,plain,
% 0.13/0.42 ((vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2) <=> (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(341,plain,
% 0.13/0.42 (((horizontal_5_1 | horizontal_5_2 | vertical_5_2) | vertical_4_2) <=> (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(342,plain,
% 0.13/0.42 (((horizontal_5_2 | vertical_5_2) | horizontal_5_1) <=> (horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(343,plain,
% 0.13/0.42 ((((horizontal_5_2 | vertical_5_2) | horizontal_5_1) | vertical_4_2) <=> ((horizontal_5_1 | horizontal_5_2 | vertical_5_2) | vertical_4_2)),
% 0.13/0.42 inference(monotonicity,[status(thm)],[342])).
% 0.13/0.42 tff(344,plain,
% 0.13/0.42 ((((horizontal_5_2 | vertical_5_2) | horizontal_5_1) | vertical_4_2) <=> (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.13/0.42 inference(transitivity,[status(thm)],[343, 341])).
% 0.13/0.42 tff(345,axiom,(((horizontal_5_2 | vertical_5_2) | horizontal_5_1) | vertical_4_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_2')).
% 0.13/0.42 tff(346,plain,
% 0.13/0.42 (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[345, 344])).
% 0.13/0.42 tff(347,plain,
% 0.13/0.42 (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[346, 340])).
% 0.13/0.42 tff(348,plain,
% 0.13/0.42 (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[347, 340])).
% 0.13/0.42 tff(349,plain,
% 0.13/0.42 (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[348, 340])).
% 0.13/0.42 tff(350,plain,
% 0.13/0.42 (horizontal_5_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[349, 339, 25, 21])).
% 0.13/0.42 tff(351,plain,
% 0.13/0.42 (((~vertical_5_3) | (~horizontal_5_2)) <=> ((~horizontal_5_2) | (~vertical_5_3))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(352,axiom,((~vertical_5_3) | (~horizontal_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_5_3')).
% 0.13/0.42 tff(353,plain,
% 0.13/0.42 ((~horizontal_5_2) | (~vertical_5_3)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.13/0.42 tff(354,plain,
% 0.13/0.42 (~vertical_5_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[353, 350])).
% 0.13/0.42 tff(355,plain,
% 0.13/0.42 (horizontal_6_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[297, 354, 23])).
% 0.13/0.42 tff(356,plain,
% 0.13/0.42 (~horizontal_6_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[286, 355])).
% 0.13/0.42 tff(357,plain,
% 0.13/0.42 (vertical_5_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[280, 356])).
% 0.13/0.42 tff(358,plain,
% 0.13/0.42 (((~horizontal_5_3) | (~horizontal_5_2)) <=> ((~horizontal_5_2) | (~horizontal_5_3))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(359,axiom,((~horizontal_5_3) | (~horizontal_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_3')).
% 0.13/0.42 tff(360,plain,
% 0.13/0.42 ((~horizontal_5_2) | (~horizontal_5_3)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[359, 358])).
% 0.13/0.42 tff(361,plain,
% 0.13/0.42 (~horizontal_5_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[360, 350])).
% 0.13/0.42 tff(362,axiom,((~horizontal_6_3) | (~vertical_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_6_4')).
% 0.13/0.42 tff(363,plain,
% 0.13/0.42 (~vertical_5_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[362, 355])).
% 0.13/0.42 tff(364,plain,
% 0.13/0.42 (horizontal_5_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[310, 363, 26, 361])).
% 0.13/0.42 tff(365,plain,
% 0.13/0.42 (((~vertical_5_5) | (~horizontal_5_4)) <=> ((~horizontal_5_4) | (~vertical_5_5))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(366,axiom,((~vertical_5_5) | (~horizontal_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_5_5')).
% 0.13/0.42 tff(367,plain,
% 0.13/0.42 ((~horizontal_5_4) | (~vertical_5_5)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[366, 365])).
% 0.13/0.42 tff(368,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[367, 364, 357])).
% 0.13/0.42 tff(369,plain,(vertical_4_4 | horizontal_6_2 | horizontal_5_1 | vertical_5_2 | horizontal_1_4 | vertical_1_5), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(370,plain,
% 0.13/0.42 (vertical_4_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[369, 25, 23, 21, 24, 22])).
% 0.13/0.42 tff(371,axiom,((~horizontal_4_4) | (~vertical_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_4')).
% 0.13/0.42 tff(372,plain,
% 0.13/0.42 (~horizontal_4_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[371, 370])).
% 0.13/0.42 tff(373,plain,
% 0.13/0.42 (((~vertical_4_4) | (~vertical_3_4)) <=> ((~vertical_3_4) | (~vertical_4_4))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(374,axiom,((~vertical_4_4) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_4')).
% 0.13/0.42 tff(375,plain,
% 0.13/0.42 ((~vertical_3_4) | (~vertical_4_4)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[374, 373])).
% 0.13/0.42 tff(376,plain,
% 0.13/0.42 (~vertical_3_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[375, 370])).
% 0.13/0.42 tff(377,assumption,(~vertical_3_4), introduced(assumption)).
% 0.13/0.42 tff(378,plain,
% 0.13/0.42 (horizontal_3_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[162, 200, 377, 201])).
% 0.13/0.42 tff(379,plain,
% 0.13/0.42 (~horizontal_3_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[166, 378])).
% 0.13/0.42 tff(380,plain,
% 0.13/0.42 (vertical_2_6),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[81, 379, 59])).
% 0.13/0.42 tff(381,plain,
% 0.13/0.42 (~vertical_2_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[169, 378])).
% 0.13/0.42 tff(382,plain,
% 0.13/0.42 (horizontal_2_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[97, 381, 22, 203])).
% 0.13/0.42 tff(383,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[101, 382, 380])).
% 0.13/0.42 tff(384,plain,((~vertical_1_4) | vertical_1_5 | vertical_3_6 | vertical_3_4 | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(385,plain,
% 0.13/0.42 (vertical_3_6),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[384, 196, 22, 377, 201])).
% 0.13/0.42 tff(386,plain,
% 0.13/0.42 (~vertical_4_6),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[54, 385])).
% 0.13/0.42 tff(387,plain,
% 0.13/0.42 (horizontal_5_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[46, 386])).
% 0.13/0.42 tff(388,axiom,((~horizontal_4_5) | (~vertical_3_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_6')).
% 0.13/0.42 tff(389,plain,
% 0.13/0.42 (~horizontal_4_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[388, 385])).
% 0.13/0.42 tff(390,assumption,(~horizontal_4_4), introduced(assumption)).
% 0.13/0.42 tff(391,plain,
% 0.13/0.42 (((~vertical_3_5) | (~horizontal_3_4)) <=> ((~horizontal_3_4) | (~vertical_3_5))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(392,axiom,((~vertical_3_5) | (~horizontal_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_5')).
% 0.13/0.42 tff(393,plain,
% 0.13/0.42 ((~horizontal_3_4) | (~vertical_3_5)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[392, 391])).
% 0.13/0.42 tff(394,plain,
% 0.13/0.42 (~vertical_3_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[393, 378])).
% 0.13/0.42 tff(395,plain,
% 0.13/0.42 (vertical_4_5),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[114, 394, 390, 389])).
% 0.13/0.42 tff(396,axiom,((~horizontal_5_5) | (~vertical_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_5')).
% 0.13/0.42 tff(397,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[396, 395, 387])).
% 0.13/0.42 tff(398,plain,((~vertical_1_4) | horizontal_4_4 | vertical_3_4 | horizontal_3_3 | vertical_1_5), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(399,plain,
% 0.13/0.42 (~vertical_1_4),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[398, 201, 376, 372, 22])).
% 0.13/0.42 tff(400,plain,
% 0.13/0.42 (horizontal_1_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[122, 399, 24])).
% 0.13/0.42 tff(401,plain,
% 0.13/0.42 (~horizontal_1_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[126, 400])).
% 0.13/0.42 tff(402,plain,
% 0.13/0.42 (vertical_1_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[132, 401])).
% 0.13/0.42 tff(403,plain,
% 0.13/0.42 (~horizontal_5_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[353, 298])).
% 0.13/0.42 tff(404,plain,
% 0.13/0.42 (vertical_4_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[349, 403, 25, 21])).
% 0.13/0.42 tff(405,assumption,(vertical_1_2), introduced(assumption)).
% 0.13/0.42 tff(406,assumption,(~horizontal_3_2), introduced(assumption)).
% 0.13/0.42 tff(407,plain,
% 0.13/0.42 (~vertical_2_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[136, 405])).
% 0.13/0.42 tff(408,plain,
% 0.13/0.42 (horizontal_3_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[147, 407, 27, 406])).
% 0.13/0.42 tff(409,plain,
% 0.13/0.42 (~horizontal_2_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[253, 405])).
% 0.13/0.42 tff(410,plain,
% 0.13/0.42 (vertical_2_1),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[251, 409])).
% 0.13/0.42 tff(411,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[241, 410, 408])).
% 0.13/0.42 tff(412,plain,((~vertical_1_2) | vertical_3_2 | horizontal_3_2), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(413,plain,
% 0.13/0.42 (horizontal_3_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[412, 27, 405])).
% 0.13/0.42 tff(414,plain,
% 0.13/0.42 (((~vertical_3_3) | (~horizontal_3_2)) <=> ((~horizontal_3_2) | (~vertical_3_3))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(415,axiom,((~vertical_3_3) | (~horizontal_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_3')).
% 0.13/0.42 tff(416,plain,
% 0.13/0.42 ((~horizontal_3_2) | (~vertical_3_3)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[415, 414])).
% 0.13/0.42 tff(417,plain,
% 0.13/0.42 (~vertical_3_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[416, 413])).
% 0.13/0.42 tff(418,plain,
% 0.13/0.42 (((~vertical_4_4) | (~horizontal_4_3)) <=> ((~horizontal_4_3) | (~vertical_4_4))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(419,axiom,((~vertical_4_4) | (~horizontal_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_4')).
% 0.13/0.42 tff(420,plain,
% 0.13/0.42 ((~horizontal_4_3) | (~vertical_4_4)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[419, 418])).
% 0.13/0.42 tff(421,plain,
% 0.13/0.42 (~horizontal_4_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[420, 370])).
% 0.13/0.42 tff(422,plain,
% 0.13/0.42 (((~vertical_5_3) | (~vertical_4_3)) <=> ((~vertical_4_3) | (~vertical_5_3))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(423,axiom,((~vertical_5_3) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_5_3')).
% 0.13/0.42 tff(424,plain,
% 0.13/0.42 ((~vertical_4_3) | (~vertical_5_3)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[423, 422])).
% 0.13/0.42 tff(425,plain,
% 0.13/0.42 (~vertical_4_3),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[424, 298])).
% 0.13/0.42 tff(426,plain,
% 0.13/0.42 ((vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3) <=> (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(427,plain,
% 0.13/0.42 (((horizontal_4_2 | horizontal_4_3 | vertical_4_3) | vertical_3_3) <=> (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(428,plain,
% 0.13/0.42 (((horizontal_4_3 | vertical_4_3) | horizontal_4_2) <=> (horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(429,plain,
% 0.13/0.42 ((((horizontal_4_3 | vertical_4_3) | horizontal_4_2) | vertical_3_3) <=> ((horizontal_4_2 | horizontal_4_3 | vertical_4_3) | vertical_3_3)),
% 0.13/0.42 inference(monotonicity,[status(thm)],[428])).
% 0.13/0.42 tff(430,plain,
% 0.13/0.42 ((((horizontal_4_3 | vertical_4_3) | horizontal_4_2) | vertical_3_3) <=> (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.13/0.42 inference(transitivity,[status(thm)],[429, 427])).
% 0.13/0.42 tff(431,axiom,(((horizontal_4_3 | vertical_4_3) | horizontal_4_2) | vertical_3_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_3')).
% 0.13/0.42 tff(432,plain,
% 0.13/0.42 (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[431, 430])).
% 0.13/0.42 tff(433,plain,
% 0.13/0.42 (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[432, 426])).
% 0.13/0.42 tff(434,plain,
% 0.13/0.42 (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[433, 426])).
% 0.13/0.42 tff(435,plain,
% 0.13/0.42 (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[434, 426])).
% 0.13/0.42 tff(436,plain,
% 0.13/0.42 (horizontal_4_2),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[435, 425, 421, 417])).
% 0.13/0.43 tff(437,axiom,((~horizontal_4_2) | (~vertical_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_2')).
% 0.13/0.43 tff(438,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[437, 436, 404])).
% 0.13/0.43 tff(439,plain,(vertical_3_2 | horizontal_5_1 | vertical_5_2 | horizontal_6_2 | (~vertical_1_2) | horizontal_1_4 | vertical_1_5), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(440,plain,
% 0.13/0.43 (vertical_3_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[439, 402, 21, 23, 25, 24, 22])).
% 0.13/0.43 tff(441,plain,
% 0.13/0.43 (~vertical_4_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[338, 440])).
% 0.13/0.43 tff(442,plain,
% 0.13/0.43 (horizontal_5_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[349, 441, 25, 21])).
% 0.13/0.43 tff(443,plain,
% 0.13/0.43 (~vertical_5_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[353, 442])).
% 0.13/0.43 tff(444,plain,
% 0.13/0.43 (horizontal_6_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[297, 443, 23])).
% 0.13/0.43 tff(445,plain,
% 0.13/0.43 (~horizontal_6_4),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[286, 444])).
% 0.13/0.43 tff(446,plain,
% 0.13/0.43 (vertical_5_5),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[280, 445])).
% 0.13/0.43 tff(447,plain,
% 0.13/0.43 (~vertical_4_5),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[31, 446])).
% 0.13/0.43 tff(448,plain,
% 0.13/0.43 (~horizontal_5_5),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[33, 446])).
% 0.13/0.43 tff(449,plain,
% 0.13/0.43 (vertical_4_6),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[46, 448])).
% 0.13/0.43 tff(450,plain,
% 0.13/0.43 (~horizontal_4_5),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[50, 449])).
% 0.13/0.43 tff(451,axiom,((~horizontal_4_2) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_2')).
% 0.13/0.43 tff(452,plain,
% 0.13/0.43 (~horizontal_4_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[451, 440])).
% 0.13/0.43 tff(453,axiom,((~horizontal_5_2) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_3')).
% 0.13/0.43 tff(454,plain,
% 0.13/0.43 (~vertical_4_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[453, 442])).
% 0.13/0.43 tff(455,plain,
% 0.13/0.43 (vertical_3_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[435, 454, 421, 452])).
% 0.13/0.43 tff(456,plain,
% 0.13/0.43 (((~vertical_3_3) | (~vertical_2_3)) <=> ((~vertical_2_3) | (~vertical_3_3))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(457,axiom,((~vertical_3_3) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_3')).
% 0.13/0.43 tff(458,plain,
% 0.13/0.43 ((~vertical_2_3) | (~vertical_3_3)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[457, 456])).
% 0.13/0.43 tff(459,plain,
% 0.13/0.43 (~vertical_2_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[458, 455])).
% 0.13/0.43 tff(460,assumption,(~vertical_2_3), introduced(assumption)).
% 0.13/0.43 tff(461,assumption,(horizontal_1_3), introduced(assumption)).
% 0.13/0.43 tff(462,plain,
% 0.13/0.43 (~vertical_1_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[233, 461])).
% 0.13/0.43 tff(463,plain,
% 0.13/0.43 (horizontal_2_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[190, 462, 460, 175])).
% 0.13/0.43 tff(464,plain,
% 0.13/0.43 (~horizontal_1_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[126, 461])).
% 0.13/0.43 tff(465,plain,
% 0.13/0.43 (vertical_1_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[132, 464])).
% 0.13/0.43 tff(466,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[218, 465, 463])).
% 0.13/0.43 tff(467,plain,((~horizontal_1_3) | vertical_2_3 | horizontal_2_3), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(468,plain,
% 0.13/0.43 (horizontal_2_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[467, 459, 400])).
% 0.13/0.43 tff(469,plain,
% 0.13/0.43 (~vertical_2_4),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[63, 468])).
% 0.13/0.43 tff(470,plain,
% 0.13/0.43 (horizontal_3_4),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[162, 469, 376, 201])).
% 0.13/0.43 tff(471,plain,
% 0.13/0.43 (~vertical_3_5),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[393, 470])).
% 0.13/0.43 tff(472,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[114, 471, 450, 372, 447])).
% 0.13/0.43 tff(473,plain,(horizontal_3_3 | horizontal_6_2 | horizontal_5_1 | vertical_5_2 | horizontal_1_4 | vertical_1_5), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(474,plain,
% 0.13/0.43 (horizontal_3_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[473, 25, 23, 21, 24, 22])).
% 0.13/0.43 tff(475,axiom,((~horizontal_3_3) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_3')).
% 0.13/0.43 tff(476,plain,
% 0.13/0.43 (~vertical_3_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[475, 474])).
% 0.13/0.43 tff(477,assumption,(vertical_4_3), introduced(assumption)).
% 0.13/0.43 tff(478,plain,
% 0.13/0.43 (~horizontal_5_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[453, 477])).
% 0.13/0.43 tff(479,plain,
% 0.13/0.43 (vertical_4_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[349, 478, 25, 21])).
% 0.13/0.43 tff(480,plain,
% 0.13/0.43 (~vertical_3_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[338, 479])).
% 0.13/0.43 tff(481,plain,
% 0.13/0.43 (~vertical_5_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[424, 477])).
% 0.13/0.43 tff(482,plain,
% 0.13/0.43 (horizontal_6_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[297, 481, 23])).
% 0.13/0.43 tff(483,plain,
% 0.13/0.43 (~horizontal_6_4),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[286, 482])).
% 0.13/0.43 tff(484,plain,
% 0.13/0.43 (vertical_5_5),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[280, 483])).
% 0.13/0.43 tff(485,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[267, 484, 480, 24, 22])).
% 0.13/0.43 tff(486,plain,((~vertical_4_3) | horizontal_1_4 | vertical_1_5 | horizontal_5_1 | vertical_5_2 | horizontal_6_2), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(487,plain,
% 0.13/0.43 (~vertical_4_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[486, 25, 22, 24, 21, 23])).
% 0.13/0.43 tff(488,plain,
% 0.13/0.43 (horizontal_4_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[435, 487, 421, 476])).
% 0.13/0.43 tff(489,plain,
% 0.13/0.43 (~vertical_3_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[451, 488])).
% 0.13/0.43 tff(490,plain,
% 0.13/0.43 (~vertical_5_5),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[267, 489, 24, 22])).
% 0.13/0.43 tff(491,plain,
% 0.13/0.43 (horizontal_6_4),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[280, 490])).
% 0.13/0.43 tff(492,plain,
% 0.13/0.43 (~vertical_4_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[437, 488])).
% 0.13/0.43 tff(493,plain,
% 0.13/0.43 (horizontal_5_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[349, 492, 25, 21])).
% 0.13/0.43 tff(494,plain,
% 0.13/0.43 (~vertical_5_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[353, 493])).
% 0.13/0.43 tff(495,plain,
% 0.13/0.43 (horizontal_6_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[297, 494, 23])).
% 0.13/0.43 tff(496,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[286, 495, 491])).
% 0.13/0.43 tff(497,plain,(horizontal_5_1 | horizontal_6_2 | horizontal_1_4 | vertical_1_5 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(498,plain,
% 0.13/0.43 (horizontal_5_1),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[497, 24, 23, 22, 21])).
% 0.13/0.43 tff(499,axiom,((~horizontal_5_1) | (~vertical_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_1')).
% 0.13/0.43 tff(500,plain,
% 0.13/0.43 (~vertical_4_1),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[499, 498])).
% 0.13/0.43 tff(501,assumption,(~vertical_4_1), introduced(assumption)).
% 0.13/0.43 tff(502,plain,
% 0.13/0.43 (vertical_4_4),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[334, 27, 24, 22, 23])).
% 0.13/0.43 tff(503,plain,
% 0.13/0.43 (~horizontal_4_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[420, 502])).
% 0.13/0.43 tff(504,assumption,(~vertical_4_3), introduced(assumption)).
% 0.13/0.43 tff(505,assumption,(~horizontal_4_3), introduced(assumption)).
% 0.13/0.43 tff(506,plain,
% 0.13/0.43 (horizontal_3_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[412, 405, 27])).
% 0.13/0.43 tff(507,plain,
% 0.13/0.43 (~vertical_3_3),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[416, 506])).
% 0.13/0.43 tff(508,plain,
% 0.13/0.43 (horizontal_4_2),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[435, 507, 505, 504])).
% 0.13/0.43 tff(509,plain,
% 0.13/0.43 (((~vertical_3_1) | (~vertical_2_1)) <=> ((~vertical_2_1) | (~vertical_3_1))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(510,axiom,((~vertical_3_1) | (~vertical_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_1')).
% 0.13/0.43 tff(511,plain,
% 0.13/0.43 ((~vertical_2_1) | (~vertical_3_1)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[510, 509])).
% 0.13/0.43 tff(512,plain,
% 0.13/0.43 (~vertical_3_1),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[511, 410])).
% 0.13/0.43 tff(513,plain,
% 0.13/0.43 ((vertical_3_1 | horizontal_4_1 | vertical_4_1) <=> (vertical_3_1 | horizontal_4_1 | vertical_4_1)),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(514,plain,
% 0.13/0.43 (((horizontal_4_1 | vertical_4_1) | vertical_3_1) <=> (vertical_3_1 | horizontal_4_1 | vertical_4_1)),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(515,axiom,((horizontal_4_1 | vertical_4_1) | vertical_3_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_1')).
% 0.13/0.43 tff(516,plain,
% 0.13/0.43 (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[515, 514])).
% 0.13/0.43 tff(517,plain,
% 0.13/0.43 (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[516, 513])).
% 0.13/0.43 tff(518,plain,
% 0.13/0.43 (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[517, 513])).
% 0.13/0.43 tff(519,plain,
% 0.13/0.43 (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[518, 513])).
% 0.13/0.43 tff(520,plain,
% 0.13/0.43 (horizontal_4_1),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[519, 512, 501])).
% 0.13/0.43 tff(521,plain,
% 0.13/0.43 (((~horizontal_4_2) | (~horizontal_4_1)) <=> ((~horizontal_4_1) | (~horizontal_4_2))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(522,axiom,((~horizontal_4_2) | (~horizontal_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_4_2')).
% 0.13/0.43 tff(523,plain,
% 0.13/0.43 ((~horizontal_4_1) | (~horizontal_4_2)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[522, 521])).
% 0.21/0.43 tff(524,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[523, 520, 508])).
% 0.21/0.43 tff(525,plain,((~vertical_1_2) | vertical_4_1 | horizontal_4_3 | vertical_4_3 | vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(526,plain,
% 0.21/0.43 (~vertical_1_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[525, 503, 501, 425, 27])).
% 0.21/0.43 tff(527,plain,
% 0.21/0.43 (horizontal_1_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[132, 526])).
% 0.21/0.43 tff(528,plain,
% 0.21/0.43 (~horizontal_1_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[126, 527])).
% 0.21/0.43 tff(529,plain,
% 0.21/0.43 (vertical_1_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[122, 528, 24])).
% 0.21/0.43 tff(530,plain,
% 0.21/0.43 (~horizontal_2_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[118, 529])).
% 0.21/0.43 tff(531,plain,
% 0.21/0.43 (~vertical_1_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[229, 527])).
% 0.21/0.43 tff(532,plain,
% 0.21/0.43 (~horizontal_4_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[371, 502])).
% 0.21/0.43 tff(533,plain,
% 0.21/0.43 (~vertical_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[375, 502])).
% 0.21/0.43 tff(534,plain,
% 0.21/0.43 (horizontal_3_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[398, 529, 533, 532, 22])).
% 0.21/0.43 tff(535,plain,
% 0.21/0.43 (horizontal_3_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[194, 534, 531, 530, 27])).
% 0.21/0.43 tff(536,axiom,((~horizontal_3_1) | (~vertical_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_1')).
% 0.21/0.43 tff(537,plain,
% 0.21/0.43 (~vertical_3_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[536, 535])).
% 0.21/0.43 tff(538,plain,
% 0.21/0.43 (~vertical_3_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[475, 534])).
% 0.21/0.43 tff(539,plain,
% 0.21/0.43 (horizontal_4_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[435, 538, 503, 425])).
% 0.21/0.43 tff(540,plain,
% 0.21/0.43 (~horizontal_4_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[523, 539])).
% 0.21/0.43 tff(541,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[519, 540, 537, 501])).
% 0.21/0.43 tff(542,plain,(vertical_3_2 | vertical_4_1 | vertical_1_5 | horizontal_1_4 | horizontal_6_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(543,plain,
% 0.21/0.43 (vertical_3_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[542, 500, 22, 24, 23])).
% 0.21/0.43 tff(544,axiom,((~horizontal_4_1) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_2')).
% 0.21/0.43 tff(545,plain,
% 0.21/0.43 (~horizontal_4_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[544, 543])).
% 0.21/0.43 tff(546,plain,
% 0.21/0.43 (vertical_3_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[519, 545, 500])).
% 0.21/0.43 tff(547,plain,
% 0.21/0.43 (~vertical_2_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[511, 546])).
% 0.21/0.43 tff(548,plain,
% 0.21/0.43 (horizontal_2_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[251, 547])).
% 0.21/0.43 tff(549,plain,
% 0.21/0.43 (~vertical_1_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[253, 548])).
% 0.21/0.43 tff(550,plain,
% 0.21/0.43 (horizontal_1_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[132, 549])).
% 0.21/0.43 tff(551,plain,
% 0.21/0.43 (~vertical_1_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[229, 550])).
% 0.21/0.43 tff(552,plain,
% 0.21/0.43 (~horizontal_2_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[262, 548])).
% 0.21/0.43 tff(553,plain,
% 0.21/0.43 (~horizontal_1_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[126, 550])).
% 0.21/0.43 tff(554,plain,
% 0.21/0.43 (vertical_1_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[122, 553, 24])).
% 0.21/0.43 tff(555,plain,
% 0.21/0.43 (~horizontal_2_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[118, 554])).
% 0.21/0.43 tff(556,plain,
% 0.21/0.43 (vertical_2_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[190, 555, 552, 551])).
% 0.21/0.43 tff(557,plain,
% 0.21/0.43 (~vertical_3_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[458, 556])).
% 0.21/0.43 tff(558,plain,
% 0.21/0.43 (~horizontal_4_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[451, 543])).
% 0.21/0.43 tff(559,plain,
% 0.21/0.43 (~horizontal_3_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[179, 556])).
% 0.21/0.43 tff(560,assumption,(horizontal_4_3), introduced(assumption)).
% 0.21/0.43 tff(561,plain,
% 0.21/0.43 (((~horizontal_4_4) | (~horizontal_4_3)) <=> ((~horizontal_4_3) | (~horizontal_4_4))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(562,axiom,((~horizontal_4_4) | (~horizontal_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_4_4')).
% 0.21/0.43 tff(563,plain,
% 0.21/0.43 ((~horizontal_4_3) | (~horizontal_4_4)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[562, 561])).
% 0.21/0.43 tff(564,plain,
% 0.21/0.43 (~horizontal_4_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[563, 560])).
% 0.21/0.43 tff(565,axiom,((~horizontal_4_3) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_4')).
% 0.21/0.43 tff(566,plain,
% 0.21/0.43 (~vertical_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[565, 560])).
% 0.21/0.43 tff(567,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[398, 566, 564, 196, 201, 22])).
% 0.21/0.43 tff(568,plain,((~horizontal_4_3) | (~vertical_1_4) | horizontal_3_3 | vertical_1_5), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(569,plain,
% 0.21/0.43 (~horizontal_4_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[568, 554, 559, 22])).
% 0.21/0.43 tff(570,plain,
% 0.21/0.43 (vertical_4_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[435, 569, 558, 557])).
% 0.21/0.43 tff(571,plain,
% 0.21/0.43 (~vertical_5_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[424, 570])).
% 0.21/0.43 tff(572,plain,
% 0.21/0.43 (horizontal_6_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[297, 571, 23])).
% 0.21/0.43 tff(573,plain,
% 0.21/0.43 (~horizontal_6_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[286, 572])).
% 0.21/0.43 tff(574,plain,
% 0.21/0.43 (vertical_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[280, 573])).
% 0.21/0.43 tff(575,plain,
% 0.21/0.43 (~vertical_4_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[31, 574])).
% 0.21/0.43 tff(576,plain,
% 0.21/0.43 (~horizontal_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[33, 574])).
% 0.21/0.43 tff(577,plain,
% 0.21/0.43 (vertical_4_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[46, 576])).
% 0.21/0.43 tff(578,plain,
% 0.21/0.43 (~horizontal_4_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[50, 577])).
% 0.21/0.43 tff(579,plain,
% 0.21/0.43 (~vertical_3_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[54, 577])).
% 0.21/0.43 tff(580,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[213, 579, 578, 554, 22, 559, 575])).
% 0.21/0.43 tff(581,plain,(horizontal_1_4 | vertical_1_5 | horizontal_6_2 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(582,plain,
% 0.21/0.43 (horizontal_1_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[581, 23, 22, 21])).
% 0.21/0.43 tff(583,plain,
% 0.21/0.43 (~horizontal_1_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[5, 582])).
% 0.21/0.43 tff(584,plain,
% 0.21/0.43 (vertical_1_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[9, 583])).
% 0.21/0.43 tff(585,plain,
% 0.21/0.43 (~vertical_2_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[13, 584])).
% 0.21/0.43 tff(586,plain,
% 0.21/0.43 (~horizontal_2_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[19, 584])).
% 0.21/0.43 tff(587,assumption,(~horizontal_2_5), introduced(assumption)).
% 0.21/0.43 tff(588,assumption,(~vertical_2_6), introduced(assumption)).
% 0.21/0.43 tff(589,assumption,(horizontal_6_4), introduced(assumption)).
% 0.21/0.43 tff(590,plain,
% 0.21/0.43 (~horizontal_6_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[286, 589])).
% 0.21/0.43 tff(591,plain,
% 0.21/0.43 (vertical_5_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[297, 590, 23])).
% 0.21/0.43 tff(592,plain,
% 0.21/0.43 (~horizontal_5_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[299, 591])).
% 0.21/0.43 tff(593,plain,
% 0.21/0.43 (~vertical_5_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[282, 589])).
% 0.21/0.43 tff(594,assumption,(horizontal_4_5), introduced(assumption)).
% 0.21/0.43 tff(595,plain,
% 0.21/0.43 (~vertical_3_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[388, 594])).
% 0.21/0.43 tff(596,plain,
% 0.21/0.43 (horizontal_3_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[81, 595, 588])).
% 0.21/0.43 tff(597,plain,
% 0.21/0.43 (~horizontal_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[166, 596])).
% 0.21/0.43 tff(598,assumption,(~horizontal_5_3), introduced(assumption)).
% 0.21/0.43 tff(599,assumption,(~vertical_5_4), introduced(assumption)).
% 0.21/0.43 tff(600,plain,
% 0.21/0.43 (~vertical_4_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[50, 594])).
% 0.21/0.43 tff(601,plain,
% 0.21/0.43 (horizontal_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[46, 600])).
% 0.21/0.43 tff(602,plain,
% 0.21/0.43 (~horizontal_5_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[316, 601])).
% 0.21/0.43 tff(603,plain,
% 0.21/0.43 (vertical_4_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[310, 602, 599, 598])).
% 0.21/0.43 tff(604,plain,
% 0.21/0.43 (~vertical_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[375, 603])).
% 0.21/0.43 tff(605,axiom,((~horizontal_3_5) | (~vertical_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_5')).
% 0.21/0.43 tff(606,plain,
% 0.21/0.43 (~vertical_2_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[605, 596])).
% 0.21/0.43 tff(607,plain,
% 0.21/0.43 (horizontal_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[97, 606, 22, 587])).
% 0.21/0.43 tff(608,axiom,((~horizontal_2_4) | (~vertical_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_2_4')).
% 0.21/0.43 tff(609,plain,
% 0.21/0.43 (~vertical_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[608, 607])).
% 0.21/0.43 tff(610,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[162, 609, 604, 201, 597])).
% 0.21/0.43 tff(611,plain,((~horizontal_4_5) | horizontal_3_3 | vertical_1_5 | horizontal_2_5 | vertical_5_4 | horizontal_5_3 | vertical_2_6), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(612,plain,
% 0.21/0.43 (~horizontal_4_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[611, 593, 22, 587, 201, 592, 588])).
% 0.21/0.43 tff(613,assumption,(horizontal_3_5), introduced(assumption)).
% 0.21/0.43 tff(614,plain,
% 0.21/0.43 (~horizontal_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[166, 613])).
% 0.21/0.43 tff(615,plain,
% 0.21/0.43 (~vertical_3_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[70, 613])).
% 0.21/0.43 tff(616,plain,
% 0.21/0.43 (horizontal_4_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[114, 615, 58, 57])).
% 0.21/0.43 tff(617,plain,
% 0.21/0.43 (~vertical_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[116, 616])).
% 0.21/0.43 tff(618,plain,
% 0.21/0.43 (~vertical_2_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[605, 613])).
% 0.21/0.43 tff(619,plain,
% 0.21/0.43 (horizontal_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[97, 618, 22, 587])).
% 0.21/0.43 tff(620,plain,
% 0.21/0.43 (~vertical_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[608, 619])).
% 0.21/0.43 tff(621,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[162, 620, 617, 201, 614])).
% 0.21/0.43 tff(622,plain,((~horizontal_3_5) | horizontal_3_3 | vertical_1_5 | horizontal_2_5 | horizontal_4_5 | vertical_4_5), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(623,plain,
% 0.21/0.43 (~horizontal_3_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[622, 58, 22, 587, 201, 57])).
% 0.21/0.43 tff(624,plain,
% 0.21/0.43 (vertical_3_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[81, 623, 588])).
% 0.21/0.43 tff(625,plain,
% 0.21/0.43 (~vertical_4_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[54, 624])).
% 0.21/0.43 tff(626,plain,
% 0.21/0.43 (horizontal_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[46, 625])).
% 0.21/0.43 tff(627,plain,
% 0.21/0.43 (~horizontal_5_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[316, 626])).
% 0.21/0.43 tff(628,plain,
% 0.21/0.43 (vertical_4_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[310, 627, 599, 598])).
% 0.21/0.43 tff(629,plain,
% 0.21/0.43 (~vertical_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[375, 628])).
% 0.21/0.43 tff(630,plain,
% 0.21/0.43 (~horizontal_4_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[371, 628])).
% 0.21/0.43 tff(631,plain,
% 0.21/0.43 (vertical_3_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[114, 630, 58, 57])).
% 0.21/0.43 tff(632,plain,
% 0.21/0.43 (~horizontal_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[393, 631])).
% 0.21/0.43 tff(633,plain,
% 0.21/0.43 (vertical_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[162, 632, 201, 629])).
% 0.21/0.43 tff(634,plain,
% 0.21/0.43 (~vertical_2_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[86, 631])).
% 0.21/0.43 tff(635,plain,
% 0.21/0.43 (horizontal_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[97, 634, 22, 587])).
% 0.21/0.43 tff(636,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[608, 635, 633])).
% 0.21/0.43 tff(637,plain,(horizontal_4_5 | vertical_1_5 | horizontal_2_5 | horizontal_3_3 | vertical_4_5 | vertical_5_4 | horizontal_5_3 | vertical_2_6), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(638,plain,
% 0.21/0.43 (vertical_4_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[637, 612, 587, 201, 22, 593, 592, 588])).
% 0.21/0.43 tff(639,plain,
% 0.21/0.43 (~horizontal_5_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[312, 638])).
% 0.21/0.43 tff(640,plain,
% 0.21/0.43 (vertical_4_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[310, 639, 593, 592])).
% 0.21/0.43 tff(641,plain,
% 0.21/0.43 (~vertical_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[375, 640])).
% 0.21/0.43 tff(642,plain,
% 0.21/0.43 (~horizontal_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[396, 638])).
% 0.21/0.43 tff(643,plain,
% 0.21/0.43 (vertical_4_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[46, 642])).
% 0.21/0.43 tff(644,plain,
% 0.21/0.43 (~vertical_3_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[54, 643])).
% 0.21/0.43 tff(645,plain,
% 0.21/0.43 (horizontal_3_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[81, 644, 588])).
% 0.21/0.43 tff(646,plain,
% 0.21/0.43 (~horizontal_3_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[166, 645])).
% 0.21/0.43 tff(647,plain,
% 0.21/0.43 (vertical_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[162, 646, 201, 641])).
% 0.21/0.43 tff(648,plain,
% 0.21/0.43 (~vertical_2_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[605, 645])).
% 0.21/0.43 tff(649,plain,
% 0.21/0.43 (horizontal_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[97, 648, 22, 587])).
% 0.21/0.43 tff(650,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[608, 649, 647])).
% 0.21/0.43 tff(651,plain,((~horizontal_6_4) | vertical_1_5 | horizontal_2_5 | horizontal_3_3 | vertical_2_6 | horizontal_6_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(652,plain,
% 0.21/0.43 (~horizontal_6_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[651, 201, 587, 22, 588, 23])).
% 0.21/0.43 tff(653,plain,
% 0.21/0.43 (vertical_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[280, 652])).
% 0.21/0.43 tff(654,plain,
% 0.21/0.43 (~horizontal_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[33, 653])).
% 0.21/0.43 tff(655,plain,
% 0.21/0.43 (vertical_4_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[46, 654])).
% 0.21/0.43 tff(656,plain,
% 0.21/0.43 (~vertical_3_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[54, 655])).
% 0.21/0.43 tff(657,plain,
% 0.21/0.43 (~vertical_4_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[31, 653])).
% 0.21/0.43 tff(658,plain,
% 0.21/0.43 (~horizontal_4_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[50, 655])).
% 0.21/0.43 tff(659,plain,
% 0.21/0.43 (~horizontal_3_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[622, 658, 22, 587, 201, 657])).
% 0.21/0.43 tff(660,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[81, 659, 656, 588])).
% 0.21/0.43 tff(661,plain,(horizontal_3_3 | vertical_2_6 | vertical_1_5 | horizontal_2_5 | horizontal_6_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(662,plain,
% 0.21/0.43 (horizontal_3_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[661, 588, 22, 587, 23])).
% 0.21/0.43 tff(663,assumption,(vertical_4_5), introduced(assumption)).
% 0.21/0.43 tff(664,plain,
% 0.21/0.43 (~horizontal_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[396, 663])).
% 0.21/0.43 tff(665,plain,
% 0.21/0.43 (vertical_4_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[46, 664])).
% 0.21/0.43 tff(666,plain,
% 0.21/0.43 (~vertical_3_6),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[54, 665])).
% 0.21/0.43 tff(667,plain,
% 0.21/0.43 (horizontal_3_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[81, 666, 588])).
% 0.21/0.43 tff(668,plain,
% 0.21/0.43 (~vertical_2_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[605, 667])).
% 0.21/0.43 tff(669,plain,
% 0.21/0.43 (horizontal_2_4),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[97, 668, 22, 587])).
% 0.21/0.43 tff(670,plain,
% 0.21/0.43 (~horizontal_2_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[67, 669])).
% 0.21/0.43 tff(671,plain,
% 0.21/0.43 (~vertical_1_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[412, 27, 177])).
% 0.21/0.43 tff(672,plain,
% 0.21/0.43 (horizontal_1_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[132, 671])).
% 0.21/0.43 tff(673,plain,
% 0.21/0.43 (~vertical_1_3),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[229, 672])).
% 0.21/0.43 tff(674,plain,
% 0.21/0.43 (horizontal_2_2),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[190, 673, 180, 175])).
% 0.21/0.43 tff(675,plain,
% 0.21/0.43 (~horizontal_2_1),
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% 0.21/0.43 tff(707,axiom,((~horizontal_5_3) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_3')).
% 0.21/0.43 tff(708,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[707, 702])).
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% 0.21/0.43 tff(714,plain,
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% 0.21/0.43 tff(721,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[286, 719])).
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[297, 722, 23])).
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[299, 723])).
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[424, 723])).
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[420, 725])).
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[451, 732])).
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[679, 733, 662])).
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[67, 734, 729])).
% 0.21/0.43 tff(736,plain,(vertical_4_5 | vertical_1_5 | horizontal_2_5 | horizontal_4_5 | horizontal_6_2 | vertical_2_6), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(737,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[736, 695, 586, 22, 23, 585])).
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% 0.21/0.43 tff(742,plain,
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% 0.21/0.43 tff(743,plain,
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% 0.21/0.43 tff(745,plain,
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% 0.21/0.43 tff(747,plain,
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% 0.21/0.43 tff(751,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[388, 737])).
% 0.21/0.43 tff(752,plain,
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% 0.21/0.43 tff(753,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[605, 752])).
% 0.21/0.43 tff(754,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[97, 753, 22, 586])).
% 0.21/0.43 tff(755,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[67, 754])).
% 0.21/0.43 tff(756,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[679, 755, 749])).
% 0.21/0.43 tff(757,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[451, 756])).
% 0.21/0.43 tff(758,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[435, 757, 750, 748])).
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% 0.21/0.43 tff(760,plain,(horizontal_6_2 | vertical_1_5 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(761,plain,
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% 0.21/0.43 tff(762,plain,
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% 0.21/0.43 tff(763,axiom,((~horizontal_6_2) | (~horizontal_6_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_6_2')).
% 0.21/0.43 tff(764,plain,
% 0.21/0.43 ((~horizontal_6_1) | (~horizontal_6_2)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[763, 762])).
% 0.21/0.43 tff(765,plain,
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% 0.21/0.43 tff(766,axiom,(horizontal_6_1 | vertical_5_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_6_1')).
% 0.21/0.43 tff(767,plain,
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% 0.21/0.43 tff(769,axiom,((~vertical_5_1) | (~vertical_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_5_1')).
% 0.21/0.43 tff(770,plain,
% 0.21/0.43 ((~vertical_4_1) | (~vertical_5_1)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[769, 768])).
% 0.21/0.43 tff(771,plain,
% 0.21/0.43 (~vertical_4_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[770, 767])).
% 0.21/0.43 tff(772,plain,
% 0.21/0.43 (~vertical_5_5),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[33, 601])).
% 0.21/0.43 tff(773,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[280, 772])).
% 0.21/0.43 tff(774,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[282, 773])).
% 0.21/0.43 tff(775,axiom,((~horizontal_5_1) | (~vertical_5_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_5_1')).
% 0.21/0.43 tff(776,plain,
% 0.21/0.43 (~horizontal_5_1),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[775, 767])).
% 0.21/0.43 tff(777,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[611, 588, 22, 201, 594, 774, 587])).
% 0.21/0.43 tff(778,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[360, 777])).
% 0.21/0.43 tff(779,plain,
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% 0.21/0.43 tff(780,plain,
% 0.21/0.43 (((~vertical_4_2) | (~horizontal_4_1)) <=> ((~horizontal_4_1) | (~vertical_4_2))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(781,axiom,((~vertical_4_2) | (~horizontal_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_2')).
% 0.21/0.43 tff(782,plain,
% 0.21/0.43 ((~horizontal_4_1) | (~vertical_4_2)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[781, 780])).
% 0.21/0.43 tff(783,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[782, 779])).
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% 0.21/0.43 tff(785,plain,
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% 0.21/0.43 tff(786,plain,
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% 0.21/0.43 tff(787,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[707, 777])).
% 0.21/0.43 tff(788,plain,
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% 0.21/0.43 tff(789,plain,
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% 0.21/0.43 inference(unit_resolution,[status(thm)],[605, 788])).
% 0.21/0.43 tff(791,plain,
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% 0.21/0.43 tff(792,plain,
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% 0.21/0.43 tff(793,plain,
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% 0.21/0.43 tff(796,plain,
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% 0.21/0.44 tff(799,plain,
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% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(800,axiom,((~vertical_2_2) | (~horizontal_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_2')).
% 0.21/0.44 tff(801,plain,
% 0.21/0.44 ((~horizontal_2_1) | (~vertical_2_2)),
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% 0.21/0.44 tff(802,plain,
% 0.21/0.44 (~vertical_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[801, 798])).
% 0.21/0.44 tff(803,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[147, 802, 796, 27, 785])).
% 0.21/0.44 tff(804,plain,(vertical_2_6 | vertical_3_2 | horizontal_3_3 | vertical_5_2 | vertical_1_5 | horizontal_2_5 | (~horizontal_4_5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(805,plain,
% 0.21/0.44 (vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[804, 587, 201, 21, 22, 27, 594])).
% 0.21/0.44 tff(806,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[13, 805])).
% 0.21/0.44 tff(807,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 806])).
% 0.21/0.44 tff(808,plain,
% 0.21/0.44 (~horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 807])).
% 0.21/0.44 tff(809,assumption,(~horizontal_5_4), introduced(assumption)).
% 0.21/0.44 tff(810,assumption,(horizontal_1_2), introduced(assumption)).
% 0.21/0.44 tff(811,plain,
% 0.21/0.44 (~horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 810])).
% 0.21/0.44 tff(812,plain,
% 0.21/0.44 (vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 811, 24])).
% 0.21/0.44 tff(813,plain,
% 0.21/0.44 (vertical_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[384, 812, 22, 201, 59])).
% 0.21/0.44 tff(814,plain,
% 0.21/0.44 (~vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[375, 813])).
% 0.21/0.44 tff(815,plain,
% 0.21/0.44 (horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 814, 809, 599])).
% 0.21/0.44 tff(816,plain,
% 0.21/0.44 (~horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[360, 815])).
% 0.21/0.44 tff(817,plain,
% 0.21/0.44 (vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 816, 776, 21])).
% 0.21/0.44 tff(818,plain,
% 0.21/0.44 (~horizontal_4_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[782, 817])).
% 0.21/0.44 tff(819,plain,
% 0.21/0.44 (vertical_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[519, 818, 771])).
% 0.21/0.44 tff(820,plain,
% 0.21/0.44 (~horizontal_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[536, 819])).
% 0.21/0.44 tff(821,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[707, 815])).
% 0.21/0.44 tff(822,plain,
% 0.21/0.44 (~horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[568, 812, 201, 22])).
% 0.21/0.44 tff(823,plain,
% 0.21/0.44 (~horizontal_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[437, 817])).
% 0.21/0.44 tff(824,plain,
% 0.21/0.44 (vertical_3_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[435, 823, 822, 821])).
% 0.21/0.44 tff(825,plain,
% 0.21/0.44 (~horizontal_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[416, 824])).
% 0.21/0.44 tff(826,plain,
% 0.21/0.44 (vertical_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[147, 825, 27, 820])).
% 0.21/0.44 tff(827,plain,
% 0.21/0.44 (~vertical_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[229, 810])).
% 0.21/0.44 tff(828,plain,
% 0.21/0.44 (~vertical_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[458, 824])).
% 0.21/0.44 tff(829,plain,
% 0.21/0.44 (horizontal_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[190, 828, 827, 175])).
% 0.21/0.44 tff(830,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[192, 829, 826])).
% 0.21/0.44 tff(831,plain,((~horizontal_1_2) | horizontal_2_3 | vertical_3_2 | vertical_5_2 | horizontal_5_4 | vertical_5_4 | vertical_1_5 | horizontal_3_3 | vertical_3_6 | horizontal_1_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(832,plain,
% 0.21/0.44 (~horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[831, 24, 27, 21, 809, 599, 22, 201, 59, 175])).
% 0.21/0.44 tff(833,plain,
% 0.21/0.44 (vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 832])).
% 0.21/0.44 tff(834,plain,
% 0.21/0.44 (~horizontal_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[253, 833])).
% 0.21/0.44 tff(835,plain,
% 0.21/0.44 (vertical_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[251, 834])).
% 0.21/0.44 tff(836,plain,
% 0.21/0.44 (~vertical_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[511, 835])).
% 0.21/0.44 tff(837,plain,
% 0.21/0.44 (horizontal_4_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[519, 836, 771])).
% 0.21/0.44 tff(838,plain,
% 0.21/0.44 (~vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[782, 837])).
% 0.21/0.44 tff(839,plain,
% 0.21/0.44 (horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 838, 776, 21])).
% 0.21/0.44 tff(840,plain,
% 0.21/0.44 (horizontal_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[412, 833, 27])).
% 0.21/0.44 tff(841,plain,
% 0.21/0.44 (~vertical_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[223, 840])).
% 0.21/0.44 tff(842,plain,
% 0.21/0.44 (~horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[467, 841, 175])).
% 0.21/0.44 tff(843,plain,
% 0.21/0.44 (vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 842, 24])).
% 0.21/0.44 tff(844,plain,
% 0.21/0.44 (~horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[568, 843, 201, 22])).
% 0.21/0.44 tff(845,plain,
% 0.21/0.44 (vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[525, 844, 771, 833, 27])).
% 0.21/0.44 tff(846,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[453, 845, 839])).
% 0.21/0.44 tff(847,plain,(horizontal_1_4 | vertical_3_2 | vertical_5_2 | horizontal_3_3 | vertical_1_5 | horizontal_2_3 | horizontal_5_4 | vertical_5_4 | vertical_3_6), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(848,plain,
% 0.21/0.44 (horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[847, 808, 21, 201, 22, 27, 602, 774, 595])).
% 0.21/0.44 tff(849,plain,
% 0.21/0.44 (~vertical_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[63, 848])).
% 0.21/0.44 tff(850,plain,
% 0.21/0.44 (~horizontal_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[67, 848])).
% 0.21/0.44 tff(851,plain,
% 0.21/0.44 (vertical_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[97, 850, 22, 587])).
% 0.21/0.44 tff(852,plain,
% 0.21/0.44 (~horizontal_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[169, 851])).
% 0.21/0.44 tff(853,plain,
% 0.21/0.44 (vertical_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[162, 852, 201, 849])).
% 0.21/0.44 tff(854,plain,
% 0.21/0.44 (~vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[375, 853])).
% 0.21/0.44 tff(855,plain,
% 0.21/0.44 (horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 854, 602, 774])).
% 0.21/0.44 tff(856,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[118, 848])).
% 0.21/0.44 tff(857,plain,
% 0.21/0.44 (horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 856, 808])).
% 0.21/0.44 tff(858,plain,
% 0.21/0.44 (~horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 857])).
% 0.21/0.44 tff(859,plain,
% 0.21/0.44 (vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 858])).
% 0.21/0.44 tff(860,plain,
% 0.21/0.44 (~horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[565, 853])).
% 0.21/0.44 tff(861,plain,
% 0.21/0.44 (vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[525, 860, 771, 859, 27])).
% 0.21/0.44 tff(862,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[707, 861, 855])).
% 0.21/0.44 tff(863,plain,(horizontal_2_5 | vertical_3_2 | horizontal_3_3 | vertical_1_5 | vertical_5_2 | (~horizontal_4_5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(864,plain,
% 0.21/0.44 (horizontal_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[863, 594, 201, 22, 21, 27])).
% 0.21/0.44 tff(865,plain,
% 0.21/0.44 (~vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[101, 864])).
% 0.21/0.44 tff(866,plain,
% 0.21/0.44 (horizontal_3_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[81, 865, 595])).
% 0.21/0.44 tff(867,plain,
% 0.21/0.44 (~horizontal_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[166, 866])).
% 0.21/0.44 tff(868,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[19, 864])).
% 0.21/0.44 tff(869,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 868])).
% 0.21/0.44 tff(870,plain,
% 0.21/0.44 (~horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 869])).
% 0.21/0.44 tff(871,plain,
% 0.21/0.44 (horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[847, 870, 21, 201, 22, 27, 602, 774, 595])).
% 0.21/0.44 tff(872,plain,
% 0.21/0.44 (~vertical_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[63, 871])).
% 0.21/0.44 tff(873,plain,
% 0.21/0.44 (vertical_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[162, 872, 201, 867])).
% 0.21/0.44 tff(874,plain,
% 0.21/0.44 (~horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[565, 873])).
% 0.21/0.44 tff(875,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[118, 871])).
% 0.21/0.44 tff(876,plain,
% 0.21/0.44 (horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 875, 870])).
% 0.21/0.44 tff(877,plain,
% 0.21/0.44 (~horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 876])).
% 0.21/0.44 tff(878,plain,
% 0.21/0.44 (vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 877])).
% 0.21/0.44 tff(879,plain,
% 0.21/0.44 (~vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[375, 873])).
% 0.21/0.44 tff(880,plain,
% 0.21/0.44 (horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 879, 602, 774])).
% 0.21/0.44 tff(881,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[707, 880])).
% 0.21/0.44 tff(882,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[525, 881, 878, 771, 874, 27])).
% 0.21/0.44 tff(883,plain,((~horizontal_4_5) | vertical_3_2 | horizontal_3_3 | vertical_5_2 | vertical_1_5), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(884,plain,
% 0.21/0.44 (~horizontal_4_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[883, 27, 201, 21, 22])).
% 0.21/0.44 tff(885,assumption,(vertical_1_6), introduced(assumption)).
% 0.21/0.44 tff(886,plain,
% 0.21/0.44 (~horizontal_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[19, 885])).
% 0.21/0.44 tff(887,plain,
% 0.21/0.44 (~vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[13, 885])).
% 0.21/0.44 tff(888,plain,
% 0.21/0.44 (horizontal_3_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[81, 887, 59])).
% 0.21/0.44 tff(889,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[622, 888, 886, 22, 201, 58, 57])).
% 0.21/0.44 tff(890,plain,((~vertical_1_6) | vertical_1_5 | horizontal_3_3 | horizontal_4_5 | vertical_4_5 | vertical_3_6), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(891,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[890, 59, 201, 58, 57, 22])).
% 0.21/0.44 tff(892,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 891])).
% 0.21/0.44 tff(893,plain,
% 0.21/0.44 (~horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 892])).
% 0.21/0.44 tff(894,plain,
% 0.21/0.44 (horizontal_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[239, 893, 27, 22, 57, 58, 59])).
% 0.21/0.44 tff(895,plain,
% 0.21/0.44 (((~horizontal_3_2) | (~horizontal_3_1)) <=> ((~horizontal_3_1) | (~horizontal_3_2))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(896,axiom,((~horizontal_3_2) | (~horizontal_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_2')).
% 0.21/0.44 tff(897,plain,
% 0.21/0.44 ((~horizontal_3_1) | (~horizontal_3_2)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[896, 895])).
% 0.21/0.44 tff(898,plain,
% 0.21/0.44 (~horizontal_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[897, 894])).
% 0.21/0.44 tff(899,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[213, 59, 58, 22, 201, 57])).
% 0.21/0.44 tff(900,plain,
% 0.21/0.44 (horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 893, 899])).
% 0.21/0.44 tff(901,plain,
% 0.21/0.44 (~horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 900])).
% 0.21/0.44 tff(902,plain,
% 0.21/0.44 (vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 901])).
% 0.21/0.44 tff(903,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[412, 902, 898, 27])).
% 0.21/0.44 tff(904,plain,(vertical_3_6 | vertical_3_2 | vertical_1_5 | vertical_4_5 | horizontal_4_5 | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(905,plain,
% 0.21/0.44 (vertical_3_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[904, 58, 22, 57, 27, 201])).
% 0.21/0.44 tff(906,plain,
% 0.21/0.44 (~vertical_4_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[54, 905])).
% 0.21/0.44 tff(907,plain,
% 0.21/0.44 (horizontal_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[46, 906])).
% 0.21/0.44 tff(908,plain,
% 0.21/0.44 (~vertical_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[33, 907])).
% 0.21/0.44 tff(909,plain,
% 0.21/0.44 (horizontal_6_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[280, 908])).
% 0.21/0.44 tff(910,plain,
% 0.21/0.44 (~vertical_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[282, 909])).
% 0.21/0.44 tff(911,plain,
% 0.21/0.44 (~horizontal_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[316, 907])).
% 0.21/0.44 tff(912,assumption,(horizontal_5_3), introduced(assumption)).
% 0.21/0.44 tff(913,plain,
% 0.21/0.44 (~horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[360, 912])).
% 0.21/0.44 tff(914,plain,
% 0.21/0.44 (vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 913, 25, 21])).
% 0.21/0.44 tff(915,plain,
% 0.21/0.44 (~horizontal_4_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[782, 914])).
% 0.21/0.44 tff(916,plain,
% 0.21/0.44 (vertical_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[519, 915, 501])).
% 0.21/0.44 tff(917,plain,
% 0.21/0.44 (~horizontal_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[536, 916])).
% 0.21/0.44 tff(918,plain,
% 0.21/0.44 (~vertical_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[511, 916])).
% 0.21/0.44 tff(919,plain,
% 0.21/0.44 (horizontal_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[251, 918])).
% 0.21/0.44 tff(920,plain,
% 0.21/0.44 (~vertical_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[801, 919])).
% 0.21/0.44 tff(921,plain,
% 0.21/0.44 (horizontal_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[147, 920, 27, 917])).
% 0.21/0.44 tff(922,plain,
% 0.21/0.44 (~vertical_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[223, 921])).
% 0.21/0.44 tff(923,plain,
% 0.21/0.44 (~horizontal_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[262, 919])).
% 0.21/0.44 tff(924,plain,
% 0.21/0.44 (~vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[253, 919])).
% 0.21/0.44 tff(925,plain,
% 0.21/0.44 (horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 924])).
% 0.21/0.44 tff(926,plain,
% 0.21/0.44 (~vertical_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[229, 925])).
% 0.21/0.44 tff(927,plain,
% 0.21/0.44 (horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[190, 926, 923, 922])).
% 0.21/0.44 tff(928,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[707, 912])).
% 0.21/0.44 tff(929,plain,
% 0.21/0.44 (~horizontal_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[437, 914])).
% 0.21/0.44 tff(930,plain,
% 0.21/0.44 (~vertical_3_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[416, 921])).
% 0.21/0.44 tff(931,plain,
% 0.21/0.44 (horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[435, 930, 929, 928])).
% 0.21/0.44 tff(932,plain,
% 0.21/0.44 (vertical_3_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[114, 564, 58, 57])).
% 0.21/0.44 tff(933,assumption,(~vertical_2_4), introduced(assumption)).
% 0.21/0.44 tff(934,plain,
% 0.21/0.44 (horizontal_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[162, 566, 201, 933])).
% 0.21/0.44 tff(935,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[393, 934, 932])).
% 0.21/0.44 tff(936,plain,((~horizontal_4_3) | horizontal_3_3 | vertical_2_4 | horizontal_4_5 | vertical_4_5), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(937,plain,
% 0.21/0.44 (vertical_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[936, 931, 201, 58, 57])).
% 0.21/0.44 tff(938,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[63, 937, 927])).
% 0.21/0.44 tff(939,plain,((~horizontal_5_3) | horizontal_3_3 | horizontal_4_5 | vertical_4_5 | vertical_3_2 | vertical_4_1 | horizontal_5_1 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(940,plain,
% 0.21/0.44 (~horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[939, 58, 201, 57, 27, 771, 776, 21])).
% 0.21/0.44 tff(941,plain,
% 0.21/0.44 (vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 940, 911, 910])).
% 0.21/0.44 tff(942,plain,
% 0.21/0.44 (~horizontal_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[371, 941])).
% 0.21/0.44 tff(943,plain,
% 0.21/0.44 (~vertical_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[375, 941])).
% 0.21/0.44 tff(944,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[398, 943, 942, 201, 22])).
% 0.21/0.44 tff(945,plain,
% 0.21/0.44 (((~vertical_3_6) | (~vertical_2_6)) <=> ((~vertical_2_6) | (~vertical_3_6))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(946,axiom,((~vertical_3_6) | (~vertical_2_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_6')).
% 0.21/0.44 tff(947,plain,
% 0.21/0.44 ((~vertical_2_6) | (~vertical_3_6)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[946, 945])).
% 0.21/0.44 tff(948,plain,
% 0.21/0.44 (~vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[947, 905])).
% 0.21/0.44 tff(949,plain,
% 0.21/0.44 (horizontal_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[637, 940, 201, 910, 22, 57, 58, 948])).
% 0.21/0.44 tff(950,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[19, 949])).
% 0.21/0.44 tff(951,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 950])).
% 0.21/0.44 tff(952,plain,
% 0.21/0.44 (~horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 951])).
% 0.21/0.44 tff(953,plain,
% 0.21/0.44 (horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 952, 944])).
% 0.21/0.44 tff(954,plain,
% 0.21/0.44 (vertical_3_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[114, 942, 57, 58])).
% 0.21/0.44 tff(955,plain,
% 0.21/0.44 (~horizontal_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[393, 954])).
% 0.21/0.44 tff(956,plain,
% 0.21/0.44 (vertical_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[162, 955, 201, 943])).
% 0.21/0.44 tff(957,plain,
% 0.21/0.44 (~horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[63, 956])).
% 0.21/0.44 tff(958,plain,
% 0.21/0.44 (vertical_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[467, 957, 953])).
% 0.21/0.44 tff(959,plain,
% 0.21/0.44 (~horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 953])).
% 0.21/0.44 tff(960,plain,
% 0.21/0.44 (vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 959])).
% 0.21/0.44 tff(961,plain,
% 0.21/0.44 (horizontal_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[412, 960, 27])).
% 0.21/0.44 tff(962,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[223, 961, 958])).
% 0.21/0.44 tff(963,plain,(horizontal_4_5 | vertical_3_2 | horizontal_3_3 | vertical_1_5 | vertical_4_5 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(964,plain,
% 0.21/0.44 (vertical_4_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[963, 884, 201, 22, 27, 21])).
% 0.21/0.44 tff(965,plain,
% 0.21/0.44 (~vertical_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[31, 964])).
% 0.21/0.44 tff(966,plain,
% 0.21/0.44 (horizontal_6_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[280, 965])).
% 0.21/0.44 tff(967,plain,
% 0.21/0.44 (~vertical_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[282, 966])).
% 0.21/0.44 tff(968,plain,
% 0.21/0.44 (~horizontal_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[312, 964])).
% 0.21/0.44 tff(969,plain,
% 0.21/0.44 (~horizontal_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[396, 964])).
% 0.21/0.44 tff(970,plain,
% 0.21/0.44 (vertical_4_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[46, 969])).
% 0.21/0.44 tff(971,plain,
% 0.21/0.44 (~vertical_3_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[54, 970])).
% 0.21/0.44 tff(972,plain,
% 0.21/0.44 (horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[847, 175, 21, 201, 22, 27, 968, 967, 971])).
% 0.21/0.44 tff(973,plain,
% 0.21/0.44 (~horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 972])).
% 0.21/0.44 tff(974,plain,
% 0.21/0.44 (vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 973])).
% 0.21/0.44 tff(975,plain,
% 0.21/0.44 (~vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[13, 974])).
% 0.21/0.44 tff(976,plain,
% 0.21/0.44 (horizontal_3_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[81, 975, 971])).
% 0.21/0.44 tff(977,plain,
% 0.21/0.44 (~horizontal_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[166, 976])).
% 0.21/0.44 tff(978,plain,
% 0.21/0.44 (~horizontal_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[19, 974])).
% 0.21/0.44 tff(979,plain,
% 0.21/0.44 (~vertical_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[605, 976])).
% 0.21/0.44 tff(980,plain,
% 0.21/0.44 (horizontal_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[97, 979, 22, 978])).
% 0.21/0.44 tff(981,plain,
% 0.21/0.44 (~vertical_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[608, 980])).
% 0.21/0.44 tff(982,plain,
% 0.21/0.44 (vertical_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[162, 981, 201, 977])).
% 0.21/0.44 tff(983,plain,
% 0.21/0.44 (~vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[375, 982])).
% 0.21/0.44 tff(984,plain,
% 0.21/0.44 (horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 983, 968, 967])).
% 0.21/0.44 tff(985,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[707, 984])).
% 0.21/0.44 tff(986,plain,
% 0.21/0.44 (~horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[565, 982])).
% 0.21/0.44 tff(987,plain,
% 0.21/0.44 (~horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[360, 984])).
% 0.21/0.44 tff(988,plain,
% 0.21/0.44 (vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 987, 776, 21])).
% 0.21/0.44 tff(989,plain,
% 0.21/0.44 (~horizontal_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[437, 988])).
% 0.21/0.44 tff(990,plain,
% 0.21/0.44 (vertical_3_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[435, 989, 986, 985])).
% 0.21/0.44 tff(991,plain,
% 0.21/0.44 (~vertical_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[458, 990])).
% 0.21/0.44 tff(992,plain,
% 0.21/0.44 (~vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[525, 985, 771, 986, 27])).
% 0.21/0.44 tff(993,plain,
% 0.21/0.44 (horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 992])).
% 0.21/0.44 tff(994,plain,
% 0.21/0.44 (~vertical_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[229, 993])).
% 0.21/0.44 tff(995,plain,
% 0.21/0.44 (horizontal_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[190, 994, 175, 991])).
% 0.21/0.44 tff(996,plain,
% 0.21/0.44 (~horizontal_4_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[782, 988])).
% 0.21/0.44 tff(997,plain,
% 0.21/0.44 (vertical_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[519, 996, 771])).
% 0.21/0.44 tff(998,plain,
% 0.21/0.44 (~horizontal_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[536, 997])).
% 0.21/0.44 tff(999,plain,
% 0.21/0.44 (~horizontal_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[416, 990])).
% 0.21/0.44 tff(1000,plain,
% 0.21/0.44 (vertical_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[147, 999, 27, 998])).
% 0.21/0.44 tff(1001,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[192, 1000, 995])).
% 0.21/0.44 tff(1002,plain,(horizontal_2_3 | vertical_3_2 | vertical_5_2 | horizontal_3_3 | vertical_1_5), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1003,plain,
% 0.21/0.44 (horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1002, 27, 21, 201, 22])).
% 0.21/0.44 tff(1004,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[118, 1003])).
% 0.21/0.44 tff(1005,plain,
% 0.21/0.44 (~horizontal_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[67, 1003])).
% 0.21/0.44 tff(1006,plain,
% 0.21/0.44 (vertical_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[97, 886, 22, 83])).
% 0.21/0.44 tff(1007,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[605, 1006, 888])).
% 0.21/0.44 tff(1008,plain,((~vertical_1_6) | vertical_1_5 | horizontal_2_4 | vertical_3_6), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1009,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1008, 1005, 22, 971])).
% 0.21/0.44 tff(1010,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1009])).
% 0.21/0.44 tff(1011,plain,
% 0.21/0.44 (~horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 1010])).
% 0.21/0.44 tff(1012,plain,
% 0.21/0.44 (horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 1011, 1004])).
% 0.21/0.44 tff(1013,plain,
% 0.21/0.44 (~horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 1012])).
% 0.21/0.44 tff(1014,plain,
% 0.21/0.44 (vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 1013])).
% 0.21/0.44 tff(1015,plain,
% 0.21/0.44 (~horizontal_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[253, 1014])).
% 0.21/0.44 tff(1016,plain,
% 0.21/0.44 (vertical_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[251, 1015])).
% 0.21/0.44 tff(1017,plain,
% 0.21/0.44 (~vertical_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[511, 1016])).
% 0.21/0.44 tff(1018,plain,
% 0.21/0.44 (horizontal_4_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[519, 1017, 771])).
% 0.21/0.44 tff(1019,plain,
% 0.21/0.44 (~vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[782, 1018])).
% 0.21/0.44 tff(1020,plain,
% 0.21/0.44 (horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 1019, 776, 21])).
% 0.21/0.44 tff(1021,plain,
% 0.21/0.44 (~horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[360, 1020])).
% 0.21/0.44 tff(1022,plain,
% 0.21/0.44 (vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 1021, 968, 967])).
% 0.21/0.44 tff(1023,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[453, 1020])).
% 0.21/0.44 tff(1024,plain,
% 0.21/0.44 (horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[525, 1023, 771, 1014, 27])).
% 0.21/0.44 tff(1025,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[420, 1024, 1022])).
% 0.21/0.44 tff(1026,plain,(vertical_3_2 | vertical_5_2 | vertical_1_5 | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1027,plain,
% 0.21/0.44 (vertical_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1026, 201, 22, 21])).
% 0.21/0.44 tff(1028,plain,
% 0.21/0.44 (~horizontal_4_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[544, 1027])).
% 0.21/0.44 tff(1029,plain,
% 0.21/0.44 (vertical_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[519, 1028, 771])).
% 0.21/0.44 tff(1030,plain,
% 0.21/0.44 (~vertical_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[511, 1029])).
% 0.21/0.44 tff(1031,plain,
% 0.21/0.44 (horizontal_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[251, 1030])).
% 0.21/0.44 tff(1032,plain,
% 0.21/0.44 (~vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[253, 1031])).
% 0.21/0.44 tff(1033,plain,
% 0.21/0.44 (horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 1032])).
% 0.21/0.44 tff(1034,plain,
% 0.21/0.44 (~horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 1033])).
% 0.21/0.44 tff(1035,plain,
% 0.21/0.44 (~horizontal_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[451, 1027])).
% 0.21/0.44 tff(1036,plain,
% 0.21/0.44 (~vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[338, 1027])).
% 0.21/0.44 tff(1037,plain,
% 0.21/0.44 (horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 1036, 776, 21])).
% 0.21/0.44 tff(1038,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[453, 1037])).
% 0.21/0.44 tff(1039,plain,
% 0.21/0.44 (~vertical_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[229, 1033])).
% 0.21/0.44 tff(1040,plain,
% 0.21/0.44 (~horizontal_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[262, 1031])).
% 0.21/0.44 tff(1041,assumption,(~horizontal_1_3), introduced(assumption)).
% 0.21/0.44 tff(1042,assumption,(~horizontal_2_2), introduced(assumption)).
% 0.21/0.44 tff(1043,assumption,(~horizontal_4_2), introduced(assumption)).
% 0.21/0.44 tff(1044,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[568, 560, 201, 22])).
% 0.21/0.44 tff(1045,plain,
% 0.21/0.44 (horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 1044, 1041])).
% 0.21/0.44 tff(1046,plain,
% 0.21/0.44 (~horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 1045])).
% 0.21/0.44 tff(1047,plain,
% 0.21/0.44 (vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1046])).
% 0.21/0.44 tff(1048,plain,
% 0.21/0.44 (horizontal_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1008, 1047, 22, 59])).
% 0.21/0.44 tff(1049,plain,
% 0.21/0.44 (~vertical_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[608, 1048])).
% 0.21/0.44 tff(1050,plain,
% 0.21/0.44 (~vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[13, 1047])).
% 0.21/0.44 tff(1051,plain,
% 0.21/0.44 (horizontal_3_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[81, 1050, 59])).
% 0.21/0.44 tff(1052,plain,
% 0.21/0.44 (~horizontal_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[166, 1051])).
% 0.21/0.44 tff(1053,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[162, 1052, 1049, 201, 566])).
% 0.21/0.44 tff(1054,plain,((~horizontal_4_3) | horizontal_3_3 | vertical_3_6 | vertical_1_5 | horizontal_1_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1055,plain,
% 0.21/0.44 (~horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1054, 59, 201, 22, 1041])).
% 0.21/0.44 tff(1056,plain,
% 0.21/0.44 (vertical_3_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[435, 1055, 504, 1043])).
% 0.21/0.44 tff(1057,plain,
% 0.21/0.44 (~vertical_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[458, 1056])).
% 0.21/0.44 tff(1058,plain,
% 0.21/0.44 (horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[190, 1057, 1042, 176])).
% 0.21/0.44 tff(1059,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[118, 1058])).
% 0.21/0.44 tff(1060,plain,
% 0.21/0.44 (horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 1059, 1041])).
% 0.21/0.44 tff(1061,plain,
% 0.21/0.44 (~horizontal_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[67, 1058])).
% 0.21/0.44 tff(1062,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1008, 1061, 22, 59])).
% 0.21/0.44 tff(1063,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1062])).
% 0.21/0.44 tff(1064,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 1063, 1060])).
% 0.21/0.44 tff(1065,plain,(vertical_3_6 | horizontal_1_3 | vertical_1_5 | horizontal_2_2 | vertical_1_3 | vertical_4_3 | horizontal_4_2 | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1066,plain,
% 0.21/0.44 (vertical_3_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1065, 1034, 22, 1040, 1039, 1038, 1035, 201])).
% 0.21/0.44 tff(1067,plain,
% 0.21/0.44 (~vertical_4_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[54, 1066])).
% 0.21/0.44 tff(1068,plain,
% 0.21/0.44 (horizontal_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[46, 1067])).
% 0.21/0.44 tff(1069,plain,
% 0.21/0.44 (~horizontal_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[316, 1068])).
% 0.21/0.44 tff(1070,plain,
% 0.21/0.44 (~horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[360, 1037])).
% 0.21/0.44 tff(1071,plain,
% 0.21/0.44 (~vertical_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[33, 1068])).
% 0.21/0.44 tff(1072,plain,
% 0.21/0.44 (horizontal_6_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[280, 1071])).
% 0.21/0.44 tff(1073,plain,
% 0.21/0.44 (~vertical_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[282, 1072])).
% 0.21/0.44 tff(1074,plain,
% 0.21/0.44 (vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 1073, 1070, 1069])).
% 0.21/0.44 tff(1075,plain,
% 0.21/0.44 (~horizontal_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[371, 1074])).
% 0.21/0.44 tff(1076,plain,
% 0.21/0.44 (~vertical_3_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[375, 1074])).
% 0.21/0.44 tff(1077,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[398, 1076, 1075, 201, 22])).
% 0.21/0.44 tff(1078,plain,
% 0.21/0.44 (~vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[947, 1066])).
% 0.21/0.44 tff(1079,plain,
% 0.21/0.44 (~vertical_4_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[396, 1068])).
% 0.21/0.44 tff(1080,plain,
% 0.21/0.44 (~horizontal_4_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[388, 1066])).
% 0.21/0.44 tff(1081,plain,
% 0.21/0.44 (horizontal_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[637, 1073, 201, 1070, 22, 1080, 1079, 1078])).
% 0.21/0.44 tff(1082,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[19, 1081])).
% 0.21/0.44 tff(1083,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1082])).
% 0.21/0.44 tff(1084,plain,
% 0.21/0.44 (~horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 1083])).
% 0.21/0.44 tff(1085,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 1084, 1077, 1034])).
% 0.21/0.44 tff(1086,plain,(horizontal_3_3 | vertical_1_5 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1087,plain,
% 0.21/0.44 (horizontal_3_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1086, 22, 21])).
% 0.21/0.44 tff(1088,plain,
% 0.21/0.44 (~horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 672])).
% 0.21/0.44 tff(1089,plain,
% 0.21/0.44 (horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[679, 27, 1])).
% 0.21/0.44 tff(1090,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[118, 1089])).
% 0.21/0.44 tff(1091,plain,
% 0.21/0.44 (horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 1090, 1088])).
% 0.21/0.44 tff(1092,plain,
% 0.21/0.44 (~horizontal_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[67, 1089])).
% 0.21/0.44 tff(1093,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1008, 1092, 22, 59])).
% 0.21/0.44 tff(1094,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1093])).
% 0.21/0.44 tff(1095,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 1094, 1091])).
% 0.21/0.44 tff(1096,plain,(vertical_3_2 | vertical_1_5 | vertical_3_6 | (~horizontal_3_3)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1097,plain,
% 0.21/0.44 (vertical_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1096, 59, 22, 1])).
% 0.21/0.44 tff(1098,plain,
% 0.21/0.44 (~horizontal_4_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[544, 1097])).
% 0.21/0.44 tff(1099,plain,
% 0.21/0.44 (vertical_3_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[519, 1098, 501])).
% 0.21/0.44 tff(1100,plain,
% 0.21/0.44 (~vertical_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[511, 1099])).
% 0.21/0.44 tff(1101,plain,
% 0.21/0.44 (horizontal_2_1),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[251, 1100])).
% 0.21/0.44 tff(1102,plain,
% 0.21/0.44 (~vertical_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[253, 1101])).
% 0.21/0.44 tff(1103,plain,
% 0.21/0.44 (horizontal_1_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[132, 1102])).
% 0.21/0.44 tff(1104,plain,
% 0.21/0.44 (~horizontal_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[126, 1103])).
% 0.21/0.44 tff(1105,plain,
% 0.21/0.44 (~horizontal_2_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[262, 1101])).
% 0.21/0.44 tff(1106,plain,
% 0.21/0.44 (~vertical_1_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[229, 1103])).
% 0.21/0.44 tff(1107,plain,
% 0.21/0.44 (horizontal_2_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[190, 1106, 180, 1105])).
% 0.21/0.44 tff(1108,plain,
% 0.21/0.44 (~vertical_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[118, 1107])).
% 0.21/0.44 tff(1109,plain,
% 0.21/0.44 (horizontal_1_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 1108, 1104])).
% 0.21/0.44 tff(1110,plain,
% 0.21/0.44 (~horizontal_2_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[67, 1107])).
% 0.21/0.44 tff(1111,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1008, 1110, 22, 59])).
% 0.21/0.44 tff(1112,plain,
% 0.21/0.44 (horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1111])).
% 0.21/0.44 tff(1113,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 1112, 1109])).
% 0.21/0.44 tff(1114,plain,(vertical_3_6 | vertical_1_5 | vertical_4_1 | (~horizontal_3_3)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1115,plain,
% 0.21/0.44 (vertical_3_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1114, 22, 771, 1087])).
% 0.21/0.44 tff(1116,plain,
% 0.21/0.44 (~vertical_4_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[54, 1115])).
% 0.21/0.44 tff(1117,plain,
% 0.21/0.44 (horizontal_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[46, 1116])).
% 0.21/0.44 tff(1118,plain,
% 0.21/0.44 (~vertical_5_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[33, 1117])).
% 0.21/0.44 tff(1119,plain,
% 0.21/0.44 (horizontal_6_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[280, 1118])).
% 0.21/0.44 tff(1120,plain,
% 0.21/0.44 (~vertical_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[282, 1119])).
% 0.21/0.44 tff(1121,plain,
% 0.21/0.44 (~horizontal_5_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[316, 1117])).
% 0.21/0.44 tff(1122,plain,
% 0.21/0.44 (~vertical_4_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[396, 1117])).
% 0.21/0.44 tff(1123,plain,
% 0.21/0.44 (~horizontal_4_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[388, 1115])).
% 0.21/0.44 tff(1124,plain,
% 0.21/0.44 (~vertical_3_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[475, 1087])).
% 0.21/0.44 tff(1125,assumption,(horizontal_4_4), introduced(assumption)).
% 0.21/0.44 tff(1126,plain,
% 0.21/0.44 (~vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[371, 1125])).
% 0.21/0.44 tff(1127,plain,
% 0.21/0.44 (horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 1126, 809, 599])).
% 0.21/0.44 tff(1128,plain,
% 0.21/0.44 (~horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[360, 1127])).
% 0.21/0.44 tff(1129,plain,
% 0.21/0.44 (vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 1128, 25, 21])).
% 0.21/0.44 tff(1130,plain,
% 0.21/0.44 (~horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[563, 1125])).
% 0.21/0.44 tff(1131,assumption,(~vertical_3_3), introduced(assumption)).
% 0.21/0.44 tff(1132,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[707, 1127])).
% 0.21/0.44 tff(1133,plain,
% 0.21/0.44 (horizontal_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[435, 1132, 1131, 1130])).
% 0.21/0.44 tff(1134,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[437, 1133, 1129])).
% 0.21/0.44 tff(1135,plain,((~horizontal_4_4) | vertical_3_3 | horizontal_5_1 | vertical_5_2 | horizontal_5_4 | vertical_5_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1136,plain,
% 0.21/0.44 (~horizontal_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1135, 1124, 776, 21, 1121, 1120])).
% 0.21/0.44 tff(1137,plain,
% 0.21/0.44 (vertical_3_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[114, 1136, 1123, 1122])).
% 0.21/0.44 tff(1138,plain,
% 0.21/0.44 (~vertical_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[86, 1137])).
% 0.21/0.44 tff(1139,assumption,(~vertical_2_5), introduced(assumption)).
% 0.21/0.44 tff(1140,plain,
% 0.21/0.44 (horizontal_2_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[97, 1092, 22, 1139])).
% 0.21/0.44 tff(1141,plain,
% 0.21/0.44 (~vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[19, 1140])).
% 0.21/0.44 tff(1142,plain,
% 0.21/0.44 (~horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[5, 1091])).
% 0.21/0.44 tff(1143,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1142, 1141])).
% 0.21/0.44 tff(1144,plain,(vertical_3_2 | vertical_1_5 | vertical_2_5 | (~horizontal_3_3)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1145,plain,
% 0.21/0.44 (vertical_3_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1144, 22, 1138, 1087])).
% 0.21/0.44 tff(1146,plain,
% 0.21/0.44 (~vertical_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[338, 1145])).
% 0.21/0.44 tff(1147,plain,
% 0.21/0.44 (horizontal_5_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[349, 1146, 776, 21])).
% 0.21/0.44 tff(1148,plain,
% 0.21/0.44 (~horizontal_5_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[360, 1147])).
% 0.21/0.44 tff(1149,plain,
% 0.21/0.44 (vertical_4_4),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[310, 1148, 1121, 1120])).
% 0.21/0.44 tff(1150,plain,
% 0.21/0.44 (~horizontal_4_2),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[451, 1145])).
% 0.21/0.44 tff(1151,plain,
% 0.21/0.44 (~vertical_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[453, 1147])).
% 0.21/0.44 tff(1152,plain,
% 0.21/0.44 (horizontal_4_3),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[435, 1151, 1124, 1150])).
% 0.21/0.44 tff(1153,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[420, 1152, 1149])).
% 0.21/0.44 tff(1154,plain,(vertical_1_5 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(1155,plain,
% 0.21/0.44 (vertical_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1154, 21])).
% 0.21/0.44 tff(1156,axiom,((~horizontal_1_5) | (~vertical_1_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_1_5')).
% 0.21/0.44 tff(1157,plain,
% 0.21/0.44 (~horizontal_1_5),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[1156, 1155])).
% 0.21/0.44 tff(1158,plain,
% 0.21/0.44 (vertical_1_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[9, 1157])).
% 0.21/0.44 tff(1159,plain,
% 0.21/0.44 (~vertical_2_6),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[13, 1158])).
% 0.21/0.44 tff(1160,assumption,(~vertical_3_5), introduced(assumption)).
% 0.21/0.44 tff(1161,assumption,(~horizontal_3_4), introduced(assumption)).
% 0.21/0.45 tff(1162,plain,
% 0.21/0.45 (~horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[17, 1155])).
% 0.21/0.45 tff(1163,plain,
% 0.21/0.45 (vertical_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[467, 461, 175])).
% 0.21/0.45 tff(1164,plain,
% 0.21/0.45 (~horizontal_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[223, 1163])).
% 0.21/0.45 tff(1165,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[412, 1164, 465, 27])).
% 0.21/0.45 tff(1166,plain,((~horizontal_1_3) | vertical_3_2 | horizontal_2_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1167,plain,
% 0.21/0.45 (~horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1166, 175, 27])).
% 0.21/0.45 tff(1168,plain,
% 0.21/0.45 (vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1167, 1162])).
% 0.21/0.45 tff(1169,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[199, 1168])).
% 0.21/0.45 tff(1170,plain,
% 0.21/0.45 (vertical_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[162, 1169, 201, 1161])).
% 0.21/0.45 tff(1171,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[116, 1170])).
% 0.21/0.45 tff(1172,assumption,(horizontal_5_4), introduced(assumption)).
% 0.21/0.45 tff(1173,plain,
% 0.21/0.45 (~horizontal_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[316, 1172])).
% 0.21/0.45 tff(1174,plain,
% 0.21/0.45 (vertical_4_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[46, 1173])).
% 0.21/0.45 tff(1175,plain,
% 0.21/0.45 (~vertical_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[312, 1172])).
% 0.21/0.45 tff(1176,plain,
% 0.21/0.45 (horizontal_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[114, 1175, 1160, 390])).
% 0.21/0.45 tff(1177,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[50, 1176, 1174])).
% 0.21/0.45 tff(1178,plain,((~horizontal_5_4) | vertical_3_5 | horizontal_4_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1179,plain,
% 0.21/0.45 (~horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1178, 1171, 1160])).
% 0.21/0.45 tff(1180,plain,
% 0.21/0.45 (~vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[375, 1170])).
% 0.21/0.45 tff(1181,plain,
% 0.21/0.45 (horizontal_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[114, 32, 1160, 390])).
% 0.21/0.45 tff(1182,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[50, 1181, 47])).
% 0.21/0.45 tff(1183,plain,((~vertical_5_5) | vertical_3_5 | horizontal_4_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1184,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1183, 1171, 1160])).
% 0.21/0.45 tff(1185,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1184])).
% 0.21/0.45 tff(1186,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1185])).
% 0.21/0.45 tff(1187,plain,
% 0.21/0.45 (horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1186, 1180, 1179])).
% 0.21/0.45 tff(1188,plain,
% 0.21/0.45 (~vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[707, 1187])).
% 0.21/0.45 tff(1189,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[565, 1170])).
% 0.21/0.45 tff(1190,plain,
% 0.21/0.45 (horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 593, 26, 809])).
% 0.21/0.45 tff(1191,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[299, 1190])).
% 0.21/0.45 tff(1192,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1191, 590])).
% 0.21/0.45 tff(1193,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1192])).
% 0.21/0.45 tff(1194,plain,
% 0.21/0.45 (vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1193])).
% 0.21/0.45 tff(1195,plain,
% 0.21/0.45 (~vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[770, 1194])).
% 0.21/0.45 tff(1196,plain,
% 0.21/0.45 (~horizontal_5_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[360, 1190])).
% 0.21/0.45 tff(1197,plain,
% 0.21/0.45 (~horizontal_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[775, 1194])).
% 0.21/0.45 tff(1198,plain,
% 0.21/0.45 (vertical_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[349, 1197, 1196, 21])).
% 0.21/0.45 tff(1199,plain,
% 0.21/0.45 (~horizontal_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[782, 1198])).
% 0.21/0.45 tff(1200,plain,
% 0.21/0.45 (vertical_3_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[519, 1199, 1195])).
% 0.21/0.45 tff(1201,plain,
% 0.21/0.45 (~horizontal_3_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[536, 1200])).
% 0.21/0.45 tff(1202,plain,
% 0.21/0.45 (~horizontal_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[437, 1198])).
% 0.21/0.45 tff(1203,plain,
% 0.21/0.45 (vertical_3_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1202, 505, 504])).
% 0.21/0.45 tff(1204,plain,
% 0.21/0.45 (~horizontal_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[416, 1203])).
% 0.21/0.45 tff(1205,plain,
% 0.21/0.45 (vertical_2_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[147, 1204, 27, 1201])).
% 0.21/0.45 tff(1206,plain,
% 0.21/0.45 (~vertical_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[458, 1203])).
% 0.21/0.45 tff(1207,plain,
% 0.21/0.45 (horizontal_2_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[190, 1206, 175, 176])).
% 0.21/0.45 tff(1208,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[192, 1207, 1205])).
% 0.21/0.45 tff(1209,plain,((~horizontal_6_4) | horizontal_2_3 | vertical_1_3 | vertical_3_2 | horizontal_4_3 | vertical_4_3 | vertical_5_2 | vertical_4_4 | horizontal_5_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1210,plain,
% 0.21/0.45 (vertical_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1209, 1188, 1185, 27, 1189, 175, 21, 1180, 1179])).
% 0.21/0.45 tff(1211,plain,
% 0.21/0.45 (~horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[229, 1210])).
% 0.21/0.45 tff(1212,plain,
% 0.21/0.45 (vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1211])).
% 0.21/0.45 tff(1213,plain,
% 0.21/0.45 (~horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 1185])).
% 0.21/0.45 tff(1214,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[299, 1187])).
% 0.21/0.45 tff(1215,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1214, 1213])).
% 0.21/0.45 tff(1216,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1215])).
% 0.21/0.45 tff(1217,plain,
% 0.21/0.45 (vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1216])).
% 0.21/0.45 tff(1218,plain,
% 0.21/0.45 (~vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[770, 1217])).
% 0.21/0.45 tff(1219,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[525, 1218, 1212, 1189, 1188, 27])).
% 0.21/0.45 tff(1220,plain,(horizontal_2_3 | vertical_3_2 | vertical_5_2 | vertical_3_5 | horizontal_3_3 | horizontal_3_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1221,plain,
% 0.21/0.45 (horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1220, 27, 21, 1160, 201, 1161])).
% 0.21/0.45 tff(1222,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[63, 1221])).
% 0.21/0.45 tff(1223,plain,
% 0.21/0.45 (vertical_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[162, 1222, 201, 1161])).
% 0.21/0.45 tff(1224,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[116, 1223])).
% 0.21/0.45 tff(1225,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1183, 1224, 1160])).
% 0.21/0.45 tff(1226,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1225])).
% 0.21/0.45 tff(1227,plain,
% 0.21/0.45 (~horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 1226])).
% 0.21/0.45 tff(1228,plain,
% 0.21/0.45 (~horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1178, 1224, 1160])).
% 0.21/0.45 tff(1229,plain,
% 0.21/0.45 (~vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[375, 1223])).
% 0.21/0.45 tff(1230,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1226])).
% 0.21/0.45 tff(1231,plain,
% 0.21/0.45 (horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1230, 1229, 1228])).
% 0.21/0.45 tff(1232,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[299, 1231])).
% 0.21/0.45 tff(1233,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1232, 1227])).
% 0.21/0.45 tff(1234,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1233])).
% 0.21/0.45 tff(1235,plain,
% 0.21/0.45 (~vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[118, 1221])).
% 0.21/0.45 tff(1236,plain,
% 0.21/0.45 (horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1235, 1162])).
% 0.21/0.45 tff(1237,plain,
% 0.21/0.45 (~horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[126, 1236])).
% 0.21/0.45 tff(1238,plain,
% 0.21/0.45 (vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1237])).
% 0.21/0.45 tff(1239,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[565, 1223])).
% 0.21/0.45 tff(1240,plain,
% 0.21/0.45 (~vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[707, 1231])).
% 0.21/0.45 tff(1241,plain,
% 0.21/0.45 (vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[525, 1240, 1239, 1238, 27])).
% 0.21/0.45 tff(1242,plain,
% 0.21/0.45 (~vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[770, 1241])).
% 0.21/0.45 tff(1243,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1242, 1234])).
% 0.21/0.45 tff(1244,plain,(vertical_3_2 | vertical_3_5 | horizontal_3_3 | horizontal_3_4 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1245,plain,
% 0.21/0.45 (vertical_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1244, 615, 201, 614, 21])).
% 0.21/0.45 tff(1246,plain,
% 0.21/0.45 (~vertical_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[338, 1245])).
% 0.21/0.45 tff(1247,assumption,(vertical_3_4), introduced(assumption)).
% 0.21/0.45 tff(1248,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[116, 1247])).
% 0.21/0.45 tff(1249,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1183, 1248, 1160])).
% 0.21/0.45 tff(1250,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1249])).
% 0.21/0.45 tff(1251,plain,
% 0.21/0.45 (~horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 1250])).
% 0.21/0.45 tff(1252,plain,
% 0.21/0.45 (~horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1178, 1248, 1160])).
% 0.21/0.45 tff(1253,plain,
% 0.21/0.45 (~vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[375, 1247])).
% 0.21/0.45 tff(1254,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1250])).
% 0.21/0.45 tff(1255,plain,
% 0.21/0.45 (horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1254, 1253, 1252])).
% 0.21/0.45 tff(1256,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[299, 1255])).
% 0.21/0.45 tff(1257,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1256, 1251])).
% 0.21/0.45 tff(1258,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1257])).
% 0.21/0.45 tff(1259,assumption,(~vertical_4_2), introduced(assumption)).
% 0.21/0.45 tff(1260,plain,
% 0.21/0.45 (~horizontal_5_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[360, 1255])).
% 0.21/0.45 tff(1261,plain,
% 0.21/0.45 (horizontal_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[349, 1260, 1259, 21])).
% 0.21/0.45 tff(1262,plain,
% 0.21/0.45 (~vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[775, 1261])).
% 0.21/0.45 tff(1263,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1262, 1258])).
% 0.21/0.45 tff(1264,plain,((~vertical_3_4) | vertical_4_2 | vertical_5_2 | vertical_3_5), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1265,plain,
% 0.21/0.45 (~vertical_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1264, 1246, 21, 615])).
% 0.21/0.45 tff(1266,plain,
% 0.21/0.45 (vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[162, 1265, 201, 614])).
% 0.21/0.45 tff(1267,plain,
% 0.21/0.45 (~horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[63, 1266])).
% 0.21/0.45 tff(1268,plain,
% 0.21/0.45 (~vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[199, 1266])).
% 0.21/0.45 tff(1269,plain,
% 0.21/0.45 (horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1268, 1162])).
% 0.21/0.45 tff(1270,plain,
% 0.21/0.45 (vertical_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[467, 1269, 1267])).
% 0.21/0.45 tff(1271,plain,
% 0.21/0.45 (~vertical_3_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[458, 1270])).
% 0.21/0.45 tff(1272,plain,
% 0.21/0.45 (~horizontal_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[451, 1245])).
% 0.21/0.45 tff(1273,plain,
% 0.21/0.45 (~horizontal_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[544, 1245])).
% 0.21/0.45 tff(1274,plain,
% 0.21/0.45 (~horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[126, 1269])).
% 0.21/0.45 tff(1275,plain,
% 0.21/0.45 (vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1274])).
% 0.21/0.45 tff(1276,plain,
% 0.21/0.45 (~horizontal_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[253, 1275])).
% 0.21/0.45 tff(1277,plain,
% 0.21/0.45 (vertical_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[251, 1276])).
% 0.21/0.45 tff(1278,plain,
% 0.21/0.45 (~vertical_3_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[511, 1277])).
% 0.21/0.45 tff(1279,plain,
% 0.21/0.45 (vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[519, 1278, 1273])).
% 0.21/0.45 tff(1280,plain,
% 0.21/0.45 (~horizontal_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[499, 1279])).
% 0.21/0.45 tff(1281,plain,
% 0.21/0.45 (horizontal_5_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[349, 1280, 1246, 21])).
% 0.21/0.45 tff(1282,plain,
% 0.21/0.45 (~vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[453, 1281])).
% 0.21/0.45 tff(1283,plain,
% 0.21/0.45 (horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1282, 1272, 1271])).
% 0.21/0.45 tff(1284,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[563, 1283])).
% 0.21/0.45 tff(1285,plain,
% 0.21/0.45 (~horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1178, 1284, 615])).
% 0.21/0.45 tff(1286,plain,
% 0.21/0.45 (~horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[360, 1281])).
% 0.21/0.45 tff(1287,plain,
% 0.21/0.45 (~vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[420, 1283])).
% 0.21/0.45 tff(1288,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[353, 1281])).
% 0.21/0.45 tff(1289,plain,
% 0.21/0.45 (~vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[770, 1279])).
% 0.21/0.45 tff(1290,plain,
% 0.21/0.45 (horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1289])).
% 0.21/0.45 tff(1291,plain,
% 0.21/0.45 (~horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1290])).
% 0.21/0.45 tff(1292,plain,
% 0.21/0.45 (horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1291, 1288])).
% 0.21/0.45 tff(1293,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[362, 1292])).
% 0.21/0.45 tff(1294,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1293, 1287, 1286, 1285])).
% 0.21/0.45 tff(1295,plain,((~horizontal_3_5) | vertical_5_2 | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1296,plain,
% 0.21/0.45 (~horizontal_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1295, 201, 21])).
% 0.21/0.45 tff(1297,plain,
% 0.21/0.45 (vertical_3_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[81, 1296, 1159])).
% 0.21/0.45 tff(1298,plain,
% 0.21/0.45 (~vertical_4_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[54, 1297])).
% 0.21/0.45 tff(1299,plain,
% 0.21/0.45 (horizontal_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[46, 1298])).
% 0.21/0.45 tff(1300,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[33, 1299])).
% 0.21/0.45 tff(1301,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1300])).
% 0.21/0.45 tff(1302,plain,
% 0.21/0.45 (~horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 1301])).
% 0.21/0.45 tff(1303,plain,
% 0.21/0.45 (~horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[316, 1299])).
% 0.21/0.45 tff(1304,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1301])).
% 0.21/0.45 tff(1305,plain,
% 0.21/0.45 (~vertical_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[396, 1299])).
% 0.21/0.45 tff(1306,plain,
% 0.21/0.45 (~horizontal_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[388, 1297])).
% 0.21/0.45 tff(1307,assumption,(vertical_4_4), introduced(assumption)).
% 0.21/0.45 tff(1308,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[371, 1307])).
% 0.21/0.45 tff(1309,plain,
% 0.21/0.45 (vertical_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[114, 1308, 58, 57])).
% 0.21/0.45 tff(1310,plain,
% 0.21/0.45 (~vertical_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[375, 1307])).
% 0.21/0.45 tff(1311,plain,
% 0.21/0.45 (horizontal_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[162, 1310, 201, 933])).
% 0.21/0.45 tff(1312,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[393, 1311, 1309])).
% 0.21/0.45 tff(1313,plain,((~vertical_4_4) | horizontal_3_3 | vertical_2_4 | horizontal_4_5 | vertical_4_5), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1314,plain,
% 0.21/0.45 (~vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1313, 1169, 201, 1306, 1305])).
% 0.21/0.45 tff(1315,plain,
% 0.21/0.45 (horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1314, 1304, 1303])).
% 0.21/0.45 tff(1316,plain,
% 0.21/0.45 (~vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[707, 1315])).
% 0.21/0.45 tff(1317,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[936, 1169, 201, 1306, 1305])).
% 0.21/0.45 tff(1318,plain,
% 0.21/0.45 (vertical_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1209, 1316, 27, 175, 1317, 1301, 21, 1314, 1303])).
% 0.21/0.45 tff(1319,plain,
% 0.21/0.45 (~horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[229, 1318])).
% 0.21/0.45 tff(1320,plain,
% 0.21/0.45 (vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1319])).
% 0.21/0.45 tff(1321,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[299, 1315])).
% 0.21/0.45 tff(1322,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1321, 1302])).
% 0.21/0.45 tff(1323,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1322])).
% 0.21/0.45 tff(1324,plain,
% 0.21/0.45 (vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1323])).
% 0.21/0.45 tff(1325,plain,
% 0.21/0.45 (~vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[770, 1324])).
% 0.21/0.45 tff(1326,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[525, 1325, 1320, 1317, 1316, 27])).
% 0.21/0.45 tff(1327,plain,(horizontal_2_3 | vertical_3_2 | vertical_5_2 | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1328,plain,
% 0.21/0.45 (horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1327, 27, 21, 201])).
% 0.21/0.45 tff(1329,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[63, 1328])).
% 0.21/0.45 tff(1330,plain,
% 0.21/0.45 (~vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1313, 1329, 201, 1306, 1305])).
% 0.21/0.45 tff(1331,plain,
% 0.21/0.45 (horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1330, 1304, 1303])).
% 0.21/0.45 tff(1332,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[299, 1331])).
% 0.21/0.45 tff(1333,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1332, 1302])).
% 0.21/0.45 tff(1334,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1333])).
% 0.21/0.45 tff(1335,plain,
% 0.21/0.45 (~vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[707, 1331])).
% 0.21/0.45 tff(1336,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[936, 1329, 201, 1306, 1305])).
% 0.21/0.45 tff(1337,plain,
% 0.21/0.45 (~vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[118, 1328])).
% 0.21/0.45 tff(1338,plain,
% 0.21/0.45 (horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1337, 1162])).
% 0.21/0.45 tff(1339,plain,
% 0.21/0.45 (~horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[126, 1338])).
% 0.21/0.45 tff(1340,plain,
% 0.21/0.45 (vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1339])).
% 0.21/0.45 tff(1341,plain,
% 0.21/0.45 (vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[525, 1340, 1336, 1335, 27])).
% 0.21/0.45 tff(1342,plain,
% 0.21/0.45 (~vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[770, 1341])).
% 0.21/0.45 tff(1343,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1342, 1334])).
% 0.21/0.45 tff(1344,plain,(vertical_3_2 | horizontal_3_3 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1345,plain,
% 0.21/0.45 (vertical_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1344, 201, 21])).
% 0.21/0.45 tff(1346,plain,
% 0.21/0.45 (~vertical_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[338, 1345])).
% 0.21/0.45 tff(1347,assumption,(~horizontal_6_3), introduced(assumption)).
% 0.21/0.45 tff(1348,plain,
% 0.21/0.45 (~vertical_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[299, 912])).
% 0.21/0.45 tff(1349,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 1348, 1347])).
% 0.21/0.45 tff(1350,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1349])).
% 0.21/0.45 tff(1351,plain,
% 0.21/0.45 (horizontal_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[349, 913, 1259, 21])).
% 0.21/0.45 tff(1352,plain,
% 0.21/0.45 (~vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[775, 1351])).
% 0.21/0.45 tff(1353,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1352, 1350])).
% 0.21/0.45 tff(1354,plain,((~horizontal_5_3) | vertical_4_2 | vertical_5_2 | horizontal_6_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1355,plain,
% 0.21/0.45 (~horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1354, 1346, 21, 1302])).
% 0.21/0.45 tff(1356,plain,
% 0.21/0.45 (vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1355, 1304, 1303])).
% 0.21/0.45 tff(1357,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[420, 1356])).
% 0.21/0.45 tff(1358,plain,
% 0.21/0.45 (~horizontal_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[451, 1345])).
% 0.21/0.45 tff(1359,plain,
% 0.21/0.45 (vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1313, 1356, 201, 1306, 1305])).
% 0.21/0.45 tff(1360,plain,
% 0.21/0.45 (~horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[63, 1359])).
% 0.21/0.45 tff(1361,plain,
% 0.21/0.45 (~vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[199, 1359])).
% 0.21/0.45 tff(1362,plain,
% 0.21/0.45 (horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1361, 1162])).
% 0.21/0.45 tff(1363,plain,
% 0.21/0.45 (vertical_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[467, 1362, 1360])).
% 0.21/0.45 tff(1364,plain,
% 0.21/0.45 (~vertical_3_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[458, 1363])).
% 0.21/0.45 tff(1365,plain,
% 0.21/0.45 (vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1364, 1358, 1357])).
% 0.21/0.45 tff(1366,plain,
% 0.21/0.45 (~horizontal_5_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[453, 1365])).
% 0.21/0.45 tff(1367,plain,
% 0.21/0.45 (horizontal_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[349, 1366, 1346, 21])).
% 0.21/0.45 tff(1368,plain,
% 0.21/0.45 (~horizontal_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[544, 1345])).
% 0.21/0.45 tff(1369,plain,
% 0.21/0.45 (~horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[126, 1362])).
% 0.21/0.45 tff(1370,plain,
% 0.21/0.45 (vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1369])).
% 0.21/0.45 tff(1371,plain,
% 0.21/0.45 (~horizontal_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[253, 1370])).
% 0.21/0.45 tff(1372,plain,
% 0.21/0.45 (vertical_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[251, 1371])).
% 0.21/0.45 tff(1373,plain,
% 0.21/0.45 (~vertical_3_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[511, 1372])).
% 0.21/0.45 tff(1374,plain,
% 0.21/0.45 (vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[519, 1373, 1368])).
% 0.21/0.45 tff(1375,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[499, 1374, 1367])).
% 0.21/0.45 tff(1376,plain,(horizontal_3_3 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1377,plain,
% 0.21/0.45 (horizontal_3_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1376, 21])).
% 0.21/0.45 tff(1378,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1088, 1090, 24])).
% 0.21/0.45 tff(1379,plain,(vertical_3_2 | horizontal_1_4 | (~horizontal_3_3)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1380,plain,
% 0.21/0.45 (vertical_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1379, 1162, 1377])).
% 0.21/0.45 tff(1381,plain,
% 0.21/0.45 (~horizontal_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[451, 1380])).
% 0.21/0.45 tff(1382,plain,
% 0.21/0.45 (~vertical_3_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[475, 1377])).
% 0.21/0.45 tff(1383,plain,
% 0.21/0.45 (vertical_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1183, 28, 390])).
% 0.21/0.45 tff(1384,plain,
% 0.21/0.45 (~horizontal_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[70, 1383])).
% 0.21/0.45 tff(1385,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[81, 55, 1384, 588])).
% 0.21/0.45 tff(1386,plain,((~vertical_5_5) | vertical_2_6 | horizontal_4_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1387,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1386, 1308, 1159])).
% 0.21/0.45 tff(1388,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1387])).
% 0.21/0.45 tff(1389,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[420, 1307])).
% 0.21/0.45 tff(1390,plain,
% 0.21/0.45 (vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1389, 1382, 1381])).
% 0.21/0.45 tff(1391,plain,
% 0.21/0.45 (horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[297, 481, 1347])).
% 0.21/0.45 tff(1392,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[764, 1391])).
% 0.21/0.45 tff(1393,plain,
% 0.21/0.45 (~vertical_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[338, 1380])).
% 0.21/0.45 tff(1394,plain,
% 0.21/0.45 (horizontal_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[349, 478, 1393, 21])).
% 0.21/0.45 tff(1395,plain,
% 0.21/0.45 (~vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[775, 1394])).
% 0.21/0.45 tff(1396,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1395, 1392])).
% 0.21/0.45 tff(1397,plain,((~vertical_4_3) | vertical_5_2 | horizontal_6_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1398,plain,
% 0.21/0.45 (horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1397, 1390, 21])).
% 0.21/0.45 tff(1399,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 1398, 1388])).
% 0.21/0.45 tff(1400,plain,((~vertical_4_4) | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1401,plain,
% 0.21/0.45 (~vertical_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1400, 21])).
% 0.21/0.45 tff(1402,assumption,(horizontal_6_3), introduced(assumption)).
% 0.21/0.45 tff(1403,plain,
% 0.21/0.45 (~horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 1402])).
% 0.21/0.45 tff(1404,plain,
% 0.21/0.45 (vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1403])).
% 0.21/0.45 tff(1405,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[362, 1402])).
% 0.21/0.45 tff(1406,plain,
% 0.21/0.45 (horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1405, 598, 26])).
% 0.21/0.45 tff(1407,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[367, 1406, 1404])).
% 0.21/0.45 tff(1408,plain,((~horizontal_6_3) | horizontal_5_3 | vertical_4_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1409,plain,
% 0.21/0.45 (~horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1408, 26, 598])).
% 0.21/0.45 tff(1410,plain,
% 0.21/0.45 (~vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1397, 1409, 21])).
% 0.21/0.45 tff(1411,plain,
% 0.21/0.45 (horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1410, 1382, 1381])).
% 0.21/0.45 tff(1412,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[563, 1411])).
% 0.21/0.45 tff(1413,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1386, 1412, 1159])).
% 0.21/0.45 tff(1414,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1413])).
% 0.21/0.45 tff(1415,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1414])).
% 0.21/0.45 tff(1416,plain,
% 0.21/0.45 (horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1415, 598, 26])).
% 0.21/0.45 tff(1417,plain,
% 0.21/0.45 (vertical_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1178, 1416, 1412])).
% 0.21/0.45 tff(1418,plain,
% 0.21/0.45 (~horizontal_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[70, 1417])).
% 0.21/0.45 tff(1419,plain,
% 0.21/0.45 (~horizontal_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[316, 1416])).
% 0.21/0.45 tff(1420,plain,
% 0.21/0.45 (vertical_4_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[46, 1419])).
% 0.21/0.45 tff(1421,plain,
% 0.21/0.45 (~vertical_3_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[54, 1420])).
% 0.21/0.45 tff(1422,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[81, 1421, 1418, 1159])).
% 0.21/0.45 tff(1423,plain,(vertical_4_4 | horizontal_5_3 | vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1424,plain,
% 0.21/0.45 (horizontal_5_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1423, 1401, 21])).
% 0.21/0.45 tff(1425,plain,
% 0.21/0.45 (~vertical_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[707, 1424])).
% 0.21/0.45 tff(1426,plain,
% 0.21/0.45 (horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1425, 1382, 1381])).
% 0.21/0.45 tff(1427,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[563, 1426])).
% 0.21/0.45 tff(1428,plain,
% 0.21/0.45 (horizontal_6_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1354, 1424, 21, 1393])).
% 0.21/0.45 tff(1429,plain,
% 0.21/0.45 (~horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[286, 1428])).
% 0.21/0.45 tff(1430,plain,
% 0.21/0.45 (vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1429])).
% 0.21/0.45 tff(1431,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1386, 1430, 1427, 1159])).
% 0.21/0.45 tff(1432,plain,(vertical_5_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1433,axiom,((~horizontal_6_1) | (~vertical_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_6_2')).
% 0.21/0.45 tff(1434,plain,
% 0.21/0.45 (~horizontal_6_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1433, 1432])).
% 0.21/0.45 tff(1435,plain,
% 0.21/0.45 (vertical_5_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[766, 1434])).
% 0.21/0.45 tff(1436,plain,
% 0.21/0.45 (~vertical_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[770, 1435])).
% 0.21/0.45 tff(1437,plain,
% 0.21/0.45 (vertical_3_6 | vertical_1_5 | (~horizontal_3_3)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1114, 1436])).
% 0.21/0.45 tff(1438,plain,
% 0.21/0.45 (vertical_3_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1437, 18, 1])).
% 0.21/0.45 tff(1439,plain,
% 0.21/0.45 (~horizontal_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[388, 1438])).
% 0.21/0.45 tff(1440,axiom,((~horizontal_6_2) | (~vertical_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_6_2')).
% 0.21/0.45 tff(1441,plain,
% 0.21/0.45 (~horizontal_6_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1440, 1432])).
% 0.21/0.45 tff(1442,plain,
% 0.21/0.45 (vertical_4_5 | vertical_1_5 | horizontal_2_5 | horizontal_4_5 | vertical_2_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[736, 1441])).
% 0.21/0.45 tff(1443,plain,
% 0.21/0.45 (vertical_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1442, 20, 18, 1439, 14])).
% 0.21/0.45 tff(1444,plain,
% 0.21/0.45 ((~vertical_4_5) | vertical_1_5 | horizontal_2_5 | vertical_2_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[694, 1441])).
% 0.21/0.45 tff(1445,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1444, 1443, 20, 18, 14])).
% 0.21/0.45 tff(1446,plain,((~horizontal_1_4) | (~horizontal_3_3)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1447,plain,
% 0.21/0.45 (~horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1446, 1])).
% 0.21/0.45 tff(1448,plain,
% 0.21/0.45 (vertical_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1379, 1447, 1])).
% 0.21/0.45 tff(1449,plain,
% 0.21/0.45 (~horizontal_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[544, 1448])).
% 0.21/0.45 tff(1450,plain,
% 0.21/0.45 (vertical_3_1 | horizontal_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[519, 1436])).
% 0.21/0.45 tff(1451,plain,
% 0.21/0.45 (vertical_3_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1450, 1449])).
% 0.21/0.45 tff(1452,plain,
% 0.21/0.45 (~vertical_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[511, 1451])).
% 0.21/0.45 tff(1453,plain,
% 0.21/0.45 (horizontal_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[251, 1452])).
% 0.21/0.45 tff(1454,plain,
% 0.21/0.45 (~vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[253, 1453])).
% 0.21/0.45 tff(1455,plain,
% 0.21/0.45 (horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1454])).
% 0.21/0.45 tff(1456,plain,
% 0.21/0.45 (~horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[126, 1455])).
% 0.21/0.45 tff(1457,plain,
% 0.21/0.45 (vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1456, 1447])).
% 0.21/0.45 tff(1458,plain,
% 0.21/0.45 (~horizontal_2_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[262, 1453])).
% 0.21/0.45 tff(1459,plain,
% 0.21/0.45 (~vertical_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[229, 1455])).
% 0.21/0.45 tff(1460,plain,
% 0.21/0.45 (horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[190, 1459, 180, 1458])).
% 0.21/0.45 tff(1461,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[118, 1460, 1457])).
% 0.21/0.45 tff(1462,plain,(~horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1463,plain,
% 0.21/0.45 (vertical_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[904, 55, 32, 51, 27, 201])).
% 0.21/0.45 tff(1464,plain,
% 0.21/0.45 (~horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[17, 1463])).
% 0.21/0.45 tff(1465,plain,
% 0.21/0.45 (vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1464, 1041])).
% 0.21/0.45 tff(1466,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[199, 1465])).
% 0.21/0.45 tff(1467,plain,
% 0.21/0.45 (~horizontal_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1156, 1463])).
% 0.21/0.45 tff(1468,plain,
% 0.21/0.45 (vertical_1_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[9, 1467])).
% 0.21/0.45 tff(1469,plain,
% 0.21/0.45 (~vertical_2_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[13, 1468])).
% 0.21/0.45 tff(1470,plain,
% 0.21/0.45 (horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1386, 1469, 28])).
% 0.21/0.45 tff(1471,plain,
% 0.21/0.45 (~vertical_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[116, 1470])).
% 0.21/0.45 tff(1472,plain,
% 0.21/0.45 (horizontal_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[81, 1469, 55])).
% 0.21/0.45 tff(1473,plain,
% 0.21/0.45 (~horizontal_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[166, 1472])).
% 0.21/0.45 tff(1474,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[162, 1473, 1471, 201, 1466])).
% 0.21/0.45 tff(1475,plain,((~vertical_5_5) | horizontal_3_3 | horizontal_1_3 | vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1476,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1475, 1041, 201, 27])).
% 0.21/0.45 tff(1477,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1476])).
% 0.21/0.45 tff(1478,plain,
% 0.21/0.45 (~vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1477])).
% 0.21/0.45 tff(1479,plain,
% 0.21/0.45 (horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1478, 26, 598])).
% 0.21/0.45 tff(1480,plain,
% 0.21/0.45 (~vertical_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[312, 1479])).
% 0.21/0.45 tff(1481,plain,
% 0.21/0.45 (~horizontal_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[316, 1479])).
% 0.21/0.45 tff(1482,plain,
% 0.21/0.45 (vertical_4_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[46, 1481])).
% 0.21/0.45 tff(1483,plain,
% 0.21/0.45 (~horizontal_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[50, 1482])).
% 0.21/0.45 tff(1484,plain,
% 0.21/0.45 (~vertical_3_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[54, 1482])).
% 0.21/0.45 tff(1485,plain,
% 0.21/0.45 (vertical_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[904, 1484, 1480, 1483, 27, 201])).
% 0.21/0.45 tff(1486,plain,
% 0.21/0.45 (~horizontal_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1156, 1485])).
% 0.21/0.45 tff(1487,plain,
% 0.21/0.45 (vertical_1_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[9, 1486])).
% 0.21/0.45 tff(1488,plain,
% 0.21/0.45 (~vertical_2_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[13, 1487])).
% 0.21/0.45 tff(1489,plain,
% 0.21/0.45 (horizontal_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[81, 1488, 1484])).
% 0.21/0.45 tff(1490,plain,
% 0.21/0.45 (~vertical_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[70, 1489])).
% 0.21/0.45 tff(1491,plain,
% 0.21/0.45 (horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[114, 1490, 1483, 1480])).
% 0.21/0.45 tff(1492,plain,
% 0.21/0.45 (~horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[17, 1485])).
% 0.21/0.45 tff(1493,plain,
% 0.21/0.45 (vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1492, 1041])).
% 0.21/0.45 tff(1494,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[199, 1493])).
% 0.21/0.45 tff(1495,plain,
% 0.21/0.45 (~horizontal_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[166, 1489])).
% 0.21/0.45 tff(1496,plain,
% 0.21/0.45 (vertical_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[162, 1495, 201, 1494])).
% 0.21/0.45 tff(1497,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[116, 1496, 1491])).
% 0.21/0.45 tff(1498,plain,(horizontal_1_3 | horizontal_3_3 | vertical_3_2 | vertical_4_4 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1499,plain,
% 0.21/0.45 (horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1498, 27, 201, 26, 598])).
% 0.21/0.45 tff(1500,plain,
% 0.21/0.45 (~horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[126, 1499])).
% 0.21/0.45 tff(1501,plain,
% 0.21/0.45 (vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1500])).
% 0.21/0.45 tff(1502,plain,
% 0.21/0.45 ((~vertical_1_2) | horizontal_4_3 | vertical_4_3 | vertical_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[525, 1436])).
% 0.21/0.45 tff(1503,plain,
% 0.21/0.45 (horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1502, 1501, 504, 27])).
% 0.21/0.45 tff(1504,plain,
% 0.21/0.45 (~horizontal_4_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[563, 1503])).
% 0.21/0.45 tff(1505,plain,
% 0.21/0.45 (((~horizontal_1_4) | (~horizontal_1_3)) <=> ((~horizontal_1_3) | (~horizontal_1_4))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(1506,axiom,((~horizontal_1_4) | (~horizontal_1_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_1_4')).
% 0.21/0.45 tff(1507,plain,
% 0.21/0.45 ((~horizontal_1_3) | (~horizontal_1_4)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 0.21/0.45 tff(1508,plain,
% 0.21/0.45 (~horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1507, 1499])).
% 0.21/0.45 tff(1509,plain,
% 0.21/0.45 (vertical_3_2 | vertical_1_5 | horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[542, 1441, 1436])).
% 0.21/0.45 tff(1510,plain,
% 0.21/0.45 (vertical_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1509, 1508, 27])).
% 0.21/0.45 tff(1511,plain,
% 0.21/0.45 (~horizontal_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1156, 1510])).
% 0.21/0.45 tff(1512,plain,
% 0.21/0.45 (vertical_1_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[9, 1511])).
% 0.21/0.45 tff(1513,plain,
% 0.21/0.45 (~vertical_2_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[13, 1512])).
% 0.21/0.45 tff(1514,plain,
% 0.21/0.45 (~vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1386, 1513, 1504])).
% 0.21/0.45 tff(1515,plain,
% 0.21/0.45 (horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1514])).
% 0.21/0.45 tff(1516,plain,
% 0.21/0.45 (horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1166, 1499, 27])).
% 0.21/0.45 tff(1517,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[63, 1516])).
% 0.21/0.45 tff(1518,plain,
% 0.21/0.45 (~vertical_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[565, 1503])).
% 0.21/0.45 tff(1519,plain,
% 0.21/0.45 (horizontal_3_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[162, 1518, 201, 1517])).
% 0.21/0.45 tff(1520,plain,
% 0.21/0.45 (~vertical_3_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[393, 1519])).
% 0.21/0.45 tff(1521,plain,
% 0.21/0.45 (~horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1178, 1520, 1504])).
% 0.21/0.45 tff(1522,plain,
% 0.21/0.45 (vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1521, 26, 598])).
% 0.21/0.45 tff(1523,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1522, 1515])).
% 0.21/0.45 tff(1524,plain,(vertical_3_2 | vertical_4_4 | horizontal_5_3 | horizontal_3_3 | vertical_4_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1525,plain,
% 0.21/0.45 (vertical_3_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1524, 598, 26, 201, 504])).
% 0.21/0.45 tff(1526,plain,
% 0.21/0.45 (~horizontal_4_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[544, 1525])).
% 0.21/0.45 tff(1527,plain,
% 0.21/0.45 (vertical_3_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1450, 1526])).
% 0.21/0.45 tff(1528,plain,
% 0.21/0.45 (~vertical_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[511, 1527])).
% 0.21/0.45 tff(1529,plain,
% 0.21/0.45 (horizontal_2_1),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[251, 1528])).
% 0.21/0.45 tff(1530,plain,
% 0.21/0.45 (~vertical_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[253, 1529])).
% 0.21/0.45 tff(1531,plain,
% 0.21/0.45 (horizontal_1_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[132, 1530])).
% 0.21/0.45 tff(1532,plain,
% 0.21/0.45 (~vertical_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[229, 1531])).
% 0.21/0.45 tff(1533,plain,
% 0.21/0.45 (~horizontal_2_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[262, 1529])).
% 0.21/0.45 tff(1534,plain,
% 0.21/0.45 (~horizontal_1_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[126, 1531])).
% 0.21/0.45 tff(1535,plain,
% 0.21/0.45 (~horizontal_4_2),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[451, 1525])).
% 0.21/0.45 tff(1536,plain,
% 0.21/0.45 (~vertical_3_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[54, 1174])).
% 0.21/0.45 tff(1537,plain,
% 0.21/0.45 (vertical_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1065, 1536, 201, 1043, 176, 504, 1042, 1041])).
% 0.21/0.45 tff(1538,plain,
% 0.21/0.45 (~horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[17, 1537])).
% 0.21/0.45 tff(1539,plain,
% 0.21/0.45 (vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1538, 1041])).
% 0.21/0.45 tff(1540,plain,
% 0.21/0.45 (~horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[118, 1539])).
% 0.21/0.45 tff(1541,plain,
% 0.21/0.45 (vertical_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[190, 1540, 1042, 176])).
% 0.21/0.45 tff(1542,plain,
% 0.21/0.45 (~horizontal_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[50, 1174])).
% 0.21/0.45 tff(1543,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[199, 1539])).
% 0.21/0.45 tff(1544,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[936, 1543, 201, 1175, 1542])).
% 0.21/0.45 tff(1545,plain,
% 0.21/0.45 (vertical_3_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1544, 504, 1043])).
% 0.21/0.45 tff(1546,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[458, 1545, 1541])).
% 0.21/0.45 tff(1547,plain,((~horizontal_5_4) | vertical_4_3 | horizontal_4_2 | horizontal_2_2 | vertical_1_3 | horizontal_3_3 | horizontal_1_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(1548,plain,
% 0.21/0.45 (~horizontal_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1547, 1535, 504, 1533, 1532, 201, 1534])).
% 0.21/0.45 tff(1549,plain,
% 0.21/0.45 (vertical_5_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[310, 1548, 26, 598])).
% 0.21/0.45 tff(1550,plain,
% 0.21/0.45 (~horizontal_6_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[282, 1549])).
% 0.21/0.45 tff(1551,plain,
% 0.21/0.45 (vertical_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[280, 1550])).
% 0.21/0.45 tff(1552,plain,
% 0.21/0.45 (~horizontal_5_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[33, 1551])).
% 0.21/0.45 tff(1553,plain,
% 0.21/0.45 (vertical_4_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[46, 1552])).
% 0.21/0.45 tff(1554,plain,
% 0.21/0.45 (~vertical_3_6),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[54, 1553])).
% 0.21/0.45 tff(1555,plain,
% 0.21/0.45 (vertical_1_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[1065, 1554, 201, 1535, 1532, 504, 1533, 1534])).
% 0.21/0.45 tff(1556,plain,
% 0.21/0.45 (~horizontal_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[17, 1555])).
% 0.21/0.45 tff(1557,plain,
% 0.21/0.45 (vertical_1_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[122, 1556, 1534])).
% 0.21/0.45 tff(1558,plain,
% 0.21/0.45 (~horizontal_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[118, 1557])).
% 0.21/0.45 tff(1559,plain,
% 0.21/0.45 (vertical_2_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[190, 1558, 1533, 1532])).
% 0.21/0.45 tff(1560,plain,
% 0.21/0.45 (~horizontal_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[50, 1553])).
% 0.21/0.45 tff(1561,plain,
% 0.21/0.45 (~vertical_4_5),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[31, 1551])).
% 0.21/0.45 tff(1562,plain,
% 0.21/0.45 (~vertical_2_4),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[199, 1557])).
% 0.21/0.45 tff(1563,plain,
% 0.21/0.45 (~horizontal_4_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[936, 1562, 201, 1561, 1560])).
% 0.21/0.45 tff(1564,plain,
% 0.21/0.45 (vertical_3_3),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[435, 1563, 504, 1535])).
% 0.21/0.45 tff(1565,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[458, 1564, 1559])).
% 0.21/0.46 tff(1566,plain,(horizontal_5_3 | vertical_4_3 | horizontal_3_3 | vertical_4_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1567,plain,
% 0.21/0.46 (horizontal_5_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1566, 504, 201, 26])).
% 0.21/0.46 tff(1568,plain,
% 0.21/0.46 (~vertical_5_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[299, 1567])).
% 0.21/0.46 tff(1569,plain,
% 0.21/0.46 (vertical_5_3 | horizontal_6_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[297, 1441])).
% 0.21/0.46 tff(1570,plain,
% 0.21/0.46 (horizontal_6_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1569, 1568])).
% 0.21/0.46 tff(1571,plain,
% 0.21/0.46 (~horizontal_6_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[286, 1570])).
% 0.21/0.46 tff(1572,plain,
% 0.21/0.46 (vertical_5_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[280, 1571])).
% 0.21/0.46 tff(1573,plain,
% 0.21/0.46 (horizontal_1_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1475, 27, 201, 28])).
% 0.21/0.46 tff(1574,plain,
% 0.21/0.46 (horizontal_2_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1166, 1573, 27])).
% 0.21/0.46 tff(1575,plain,
% 0.21/0.46 (~vertical_2_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[63, 1574])).
% 0.21/0.46 tff(1576,plain,
% 0.21/0.46 (~horizontal_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[126, 1573])).
% 0.21/0.46 tff(1577,plain,
% 0.21/0.46 (vertical_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[132, 1576])).
% 0.21/0.46 tff(1578,plain,
% 0.21/0.46 (horizontal_4_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1502, 1577, 504, 27])).
% 0.21/0.46 tff(1579,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[936, 1578, 1575, 201, 32, 51])).
% 0.21/0.46 tff(1580,plain,(vertical_3_2 | horizontal_3_3 | vertical_4_3 | (~vertical_5_5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1581,plain,
% 0.21/0.46 (vertical_3_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1580, 504, 201, 1572])).
% 0.21/0.46 tff(1582,plain,
% 0.21/0.46 (~horizontal_4_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[544, 1581])).
% 0.21/0.46 tff(1583,plain,
% 0.21/0.46 (vertical_3_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1450, 1582])).
% 0.21/0.46 tff(1584,plain,
% 0.21/0.46 (~vertical_2_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[511, 1583])).
% 0.21/0.46 tff(1585,plain,
% 0.21/0.46 (horizontal_2_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[251, 1584])).
% 0.21/0.46 tff(1586,plain,
% 0.21/0.46 (~vertical_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[253, 1585])).
% 0.21/0.46 tff(1587,plain,
% 0.21/0.46 (horizontal_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[132, 1586])).
% 0.21/0.46 tff(1588,plain,
% 0.21/0.46 (~vertical_1_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[229, 1587])).
% 0.21/0.46 tff(1589,plain,
% 0.21/0.46 (~horizontal_2_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[262, 1585])).
% 0.21/0.46 tff(1590,plain,
% 0.21/0.46 (~horizontal_1_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[126, 1587])).
% 0.21/0.46 tff(1591,plain,
% 0.21/0.46 (~horizontal_4_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[451, 1581])).
% 0.21/0.46 tff(1592,plain,
% 0.21/0.46 (~horizontal_5_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[33, 1572])).
% 0.21/0.46 tff(1593,plain,
% 0.21/0.46 (vertical_4_6),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[46, 1592])).
% 0.21/0.46 tff(1594,plain,
% 0.21/0.46 (~vertical_3_6),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[54, 1593])).
% 0.21/0.46 tff(1595,plain,
% 0.21/0.46 (vertical_1_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1065, 1588, 201, 1594, 1591, 504, 1589, 1590])).
% 0.21/0.46 tff(1596,plain,
% 0.21/0.46 (~horizontal_1_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[17, 1595])).
% 0.21/0.46 tff(1597,plain,
% 0.21/0.46 (vertical_1_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[122, 1596, 1590])).
% 0.21/0.46 tff(1598,plain,
% 0.21/0.46 (~horizontal_2_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[118, 1597])).
% 0.21/0.46 tff(1599,plain,
% 0.21/0.46 (vertical_2_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[190, 1598, 1589, 1588])).
% 0.21/0.46 tff(1600,plain,
% 0.21/0.46 (~horizontal_4_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[50, 1593])).
% 0.21/0.46 tff(1601,plain,
% 0.21/0.46 (~vertical_4_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[31, 1572])).
% 0.21/0.46 tff(1602,plain,
% 0.21/0.46 (~vertical_2_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[199, 1597])).
% 0.21/0.46 tff(1603,plain,
% 0.21/0.46 (~horizontal_4_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[936, 1602, 201, 1601, 1600])).
% 0.21/0.46 tff(1604,plain,
% 0.21/0.46 (vertical_3_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[435, 1603, 504, 1591])).
% 0.21/0.46 tff(1605,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[458, 1604, 1599])).
% 0.21/0.46 tff(1606,plain,(vertical_4_3 | horizontal_3_3 | vertical_4_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1607,plain,
% 0.21/0.46 (vertical_4_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1606, 504, 1462])).
% 0.21/0.46 tff(1608,plain,
% 0.21/0.46 (horizontal_3_3 | vertical_2_6 | vertical_1_5 | horizontal_2_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[661, 1441])).
% 0.21/0.46 tff(1609,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1608, 20, 14, 1462, 18])).
% 0.21/0.46 tff(1610,plain,(~horizontal_1_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1611,plain,
% 0.21/0.46 (vertical_1_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1509, 24, 27])).
% 0.21/0.46 tff(1612,plain,
% 0.21/0.46 (~horizontal_1_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1156, 1611])).
% 0.21/0.46 tff(1613,plain,
% 0.21/0.46 (vertical_1_6),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[9, 1612])).
% 0.21/0.46 tff(1614,plain,
% 0.21/0.46 (~vertical_2_6),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[13, 1613])).
% 0.21/0.46 tff(1615,plain,
% 0.21/0.46 (~vertical_3_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[375, 1607])).
% 0.21/0.46 tff(1616,plain,
% 0.21/0.46 (~horizontal_4_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[420, 1607])).
% 0.21/0.46 tff(1617,plain,
% 0.21/0.46 (~vertical_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1502, 1616, 504, 27])).
% 0.21/0.46 tff(1618,plain,
% 0.21/0.46 (horizontal_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[132, 1617])).
% 0.21/0.46 tff(1619,plain,
% 0.21/0.46 (~horizontal_1_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[126, 1618])).
% 0.21/0.46 tff(1620,plain,
% 0.21/0.46 (vertical_1_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[122, 1619, 24])).
% 0.21/0.46 tff(1621,plain,
% 0.21/0.46 (~vertical_2_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[199, 1620])).
% 0.21/0.46 tff(1622,plain,
% 0.21/0.46 (horizontal_3_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[162, 1621, 1462, 1615])).
% 0.21/0.46 tff(1623,plain,
% 0.21/0.46 (~horizontal_3_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[166, 1622])).
% 0.21/0.46 tff(1624,plain,
% 0.21/0.46 (vertical_3_6),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[81, 1623, 1614])).
% 0.21/0.46 tff(1625,plain,
% 0.21/0.46 (~vertical_4_6),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[54, 1624])).
% 0.21/0.46 tff(1626,plain,
% 0.21/0.46 (horizontal_5_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[46, 1625])).
% 0.21/0.46 tff(1627,plain,
% 0.21/0.46 (~horizontal_4_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[388, 1624])).
% 0.21/0.46 tff(1628,plain,
% 0.21/0.46 (vertical_4_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1313, 1627, 1462, 1607, 1621])).
% 0.21/0.46 tff(1629,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[396, 1628, 1626])).
% 0.21/0.46 tff(1630,plain,(vertical_4_3 | horizontal_1_4 | vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1631,plain,
% 0.21/0.46 (vertical_4_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1630, 24, 27])).
% 0.21/0.46 tff(1632,plain,
% 0.21/0.46 (~vertical_5_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[424, 1631])).
% 0.21/0.46 tff(1633,plain,
% 0.21/0.46 (horizontal_6_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1569, 1632])).
% 0.21/0.46 tff(1634,plain,
% 0.21/0.46 (~horizontal_6_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[286, 1633])).
% 0.21/0.46 tff(1635,plain,
% 0.21/0.46 (~horizontal_5_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[707, 477])).
% 0.21/0.46 tff(1636,plain,
% 0.21/0.46 (~horizontal_6_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1408, 1635, 26])).
% 0.21/0.46 tff(1637,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1569, 1636, 481])).
% 0.21/0.46 tff(1638,plain,((~vertical_4_3) | vertical_4_4), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1639,plain,
% 0.21/0.46 (vertical_4_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1638, 1631])).
% 0.21/0.46 tff(1640,plain,
% 0.21/0.46 (~horizontal_4_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[371, 1639])).
% 0.21/0.46 tff(1641,plain,
% 0.21/0.46 (~vertical_5_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1386, 1640, 1614])).
% 0.21/0.46 tff(1642,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[280, 1641, 1634])).
% 0.21/0.46 tff(1643,plain,(horizontal_1_4 | vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1644,plain,
% 0.21/0.46 (vertical_3_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1643, 1610])).
% 0.21/0.46 tff(1645,plain,
% 0.21/0.46 (~horizontal_4_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[544, 1644])).
% 0.21/0.46 tff(1646,plain,
% 0.21/0.46 (vertical_3_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1450, 1645])).
% 0.21/0.46 tff(1647,plain,
% 0.21/0.46 (~vertical_2_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[511, 1646])).
% 0.21/0.46 tff(1648,plain,
% 0.21/0.46 (horizontal_2_1),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[251, 1647])).
% 0.21/0.46 tff(1649,plain,
% 0.21/0.46 (~vertical_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[253, 1648])).
% 0.21/0.46 tff(1650,plain,
% 0.21/0.46 (horizontal_1_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[132, 1649])).
% 0.21/0.46 tff(1651,plain,
% 0.21/0.46 (~vertical_1_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[229, 1650])).
% 0.21/0.46 tff(1652,plain,
% 0.21/0.46 (~horizontal_2_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[262, 1648])).
% 0.21/0.46 tff(1653,plain,
% 0.21/0.46 (~horizontal_1_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[126, 1650])).
% 0.21/0.46 tff(1654,plain,
% 0.21/0.46 (vertical_1_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[122, 1653, 1610])).
% 0.21/0.46 tff(1655,plain,
% 0.21/0.46 (~horizontal_2_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[118, 1654])).
% 0.21/0.46 tff(1656,plain,
% 0.21/0.46 (vertical_2_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[190, 1655, 1652, 1651])).
% 0.21/0.46 tff(1657,plain,
% 0.21/0.46 (~vertical_3_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[458, 1656])).
% 0.21/0.46 tff(1658,plain,
% 0.21/0.46 (~horizontal_4_2),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[451, 1644])).
% 0.21/0.46 tff(1659,plain,
% 0.21/0.46 (horizontal_4_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[435, 504, 1658, 1657])).
% 0.21/0.46 tff(1660,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[420, 1659, 1607])).
% 0.21/0.46 tff(1661,plain,(vertical_4_3), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(1662,plain,
% 0.21/0.46 (vertical_4_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1638, 1661])).
% 0.21/0.46 tff(1663,plain,
% 0.21/0.46 (~horizontal_4_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[371, 1662])).
% 0.21/0.46 tff(1664,plain,
% 0.21/0.46 (~vertical_5_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[424, 1661])).
% 0.21/0.46 tff(1665,plain,
% 0.21/0.46 (horizontal_6_3),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1569, 1664])).
% 0.21/0.46 tff(1666,plain,
% 0.21/0.46 (~horizontal_6_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[286, 1665])).
% 0.21/0.46 tff(1667,plain,
% 0.21/0.46 (vertical_5_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[280, 1666])).
% 0.21/0.46 tff(1668,plain,
% 0.21/0.46 (~vertical_2_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[199, 1654])).
% 0.21/0.46 tff(1669,plain,
% 0.21/0.46 (~vertical_3_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[375, 1662])).
% 0.21/0.46 tff(1670,plain,
% 0.21/0.46 (horizontal_3_4),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[162, 1669, 1462, 1668])).
% 0.21/0.46 tff(1671,plain,
% 0.21/0.46 (~vertical_3_5),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[393, 1670])).
% 0.21/0.46 tff(1672,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[1183, 1671, 1667, 1663])).
% 0.21/0.46 % SZS output end Proof
% 0.21/0.46 % E exiting
%------------------------------------------------------------------------------