TSTP Solution File: PUZ016-2.005 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 : Sun Sep 18 14:10:52 EDT 2022
% Result : Unsatisfiable 0.11s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Sep 2 18:21:05 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.33 Usage: tptp [options] [-file:]file
% 0.11/0.33 -h, -? prints this message.
% 0.11/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.33 -m, -model generate model.
% 0.11/0.33 -p, -proof generate proof.
% 0.11/0.33 -c, -core generate unsat core of named formulas.
% 0.11/0.33 -st, -statistics display statistics.
% 0.11/0.33 -t:timeout set timeout (in second).
% 0.11/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.33 -<param>:<value> configuration parameter and value.
% 0.11/0.33 -o:<output-file> file to place output in.
% 0.11/0.38 % SZS status Unsatisfiable
% 0.11/0.38 % SZS output start Proof
% 0.11/0.38 tff(horizontal_5_2_type, type, (
% 0.11/0.38 horizontal_5_2: $o)).
% 0.11/0.38 tff(horizontal_5_1_type, type, (
% 0.11/0.38 horizontal_5_1: $o)).
% 0.11/0.38 tff(vertical_4_1_type, type, (
% 0.11/0.38 vertical_4_1: $o)).
% 0.11/0.38 tff(vertical_3_1_type, type, (
% 0.11/0.38 vertical_3_1: $o)).
% 0.11/0.38 tff(horizontal_3_1_type, type, (
% 0.11/0.38 horizontal_3_1: $o)).
% 0.11/0.38 tff(horizontal_3_2_type, type, (
% 0.11/0.38 horizontal_3_2: $o)).
% 0.11/0.38 tff(horizontal_5_3_type, type, (
% 0.11/0.38 horizontal_5_3: $o)).
% 0.11/0.38 tff(horizontal_4_3_type, type, (
% 0.11/0.38 horizontal_4_3: $o)).
% 0.11/0.38 tff(vertical_2_4_type, type, (
% 0.11/0.38 vertical_2_4: $o)).
% 0.11/0.38 tff(horizontal_2_3_type, type, (
% 0.11/0.38 horizontal_2_3: $o)).
% 0.11/0.38 tff(horizontal_2_2_type, type, (
% 0.11/0.38 horizontal_2_2: $o)).
% 0.11/0.38 tff(vertical_2_2_type, type, (
% 0.11/0.38 vertical_2_2: $o)).
% 0.11/0.38 tff(horizontal_4_2_type, type, (
% 0.11/0.38 horizontal_4_2: $o)).
% 0.11/0.38 tff(vertical_4_2_type, type, (
% 0.11/0.38 vertical_4_2: $o)).
% 0.11/0.38 tff(vertical_3_2_type, type, (
% 0.11/0.38 vertical_3_2: $o)).
% 0.11/0.38 tff(horizontal_4_1_type, type, (
% 0.11/0.38 horizontal_4_1: $o)).
% 0.11/0.38 tff(vertical_2_1_type, type, (
% 0.11/0.38 vertical_2_1: $o)).
% 0.11/0.38 tff(vertical_1_1_type, type, (
% 0.11/0.38 vertical_1_1: $o)).
% 0.11/0.38 tff(horizontal_1_1_type, type, (
% 0.11/0.38 horizontal_1_1: $o)).
% 0.11/0.38 tff(horizontal_2_1_type, type, (
% 0.11/0.38 horizontal_2_1: $o)).
% 0.11/0.38 tff(vertical_1_2_type, type, (
% 0.11/0.38 vertical_1_2: $o)).
% 0.11/0.38 tff(vertical_1_4_type, type, (
% 0.11/0.38 vertical_1_4: $o)).
% 0.11/0.38 tff(horizontal_1_4_type, type, (
% 0.11/0.38 horizontal_1_4: $o)).
% 0.11/0.38 tff(vertical_1_5_type, type, (
% 0.11/0.38 vertical_1_5: $o)).
% 0.11/0.38 tff(vertical_2_5_type, type, (
% 0.11/0.38 vertical_2_5: $o)).
% 0.11/0.38 tff(vertical_3_4_type, type, (
% 0.11/0.38 vertical_3_4: $o)).
% 0.11/0.38 tff(vertical_4_4_type, type, (
% 0.11/0.38 vertical_4_4: $o)).
% 0.11/0.38 tff(vertical_4_3_type, type, (
% 0.11/0.38 vertical_4_3: $o)).
% 0.11/0.38 tff(vertical_3_3_type, type, (
% 0.11/0.38 vertical_3_3: $o)).
% 0.11/0.38 tff(vertical_2_3_type, type, (
% 0.11/0.38 vertical_2_3: $o)).
% 0.11/0.38 tff(horizontal_3_3_type, type, (
% 0.11/0.38 horizontal_3_3: $o)).
% 0.11/0.38 tff(horizontal_3_4_type, type, (
% 0.11/0.38 horizontal_3_4: $o)).
% 0.11/0.38 tff(vertical_3_5_type, type, (
% 0.11/0.38 vertical_3_5: $o)).
% 0.11/0.38 tff(vertical_4_5_type, type, (
% 0.11/0.38 vertical_4_5: $o)).
% 0.11/0.38 tff(horizontal_5_4_type, type, (
% 0.11/0.38 horizontal_5_4: $o)).
% 0.11/0.38 tff(horizontal_4_4_type, type, (
% 0.11/0.38 horizontal_4_4: $o)).
% 0.11/0.38 tff(horizontal_2_4_type, type, (
% 0.11/0.38 horizontal_2_4: $o)).
% 0.11/0.38 tff(1,assumption,(~horizontal_3_2), introduced(assumption)).
% 0.11/0.38 tff(2,assumption,(horizontal_4_3), introduced(assumption)).
% 0.11/0.38 tff(3,plain,
% 0.11/0.38 (((~horizontal_4_3) | (~horizontal_4_2)) <=> ((~horizontal_4_2) | (~horizontal_4_3))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(4,axiom,((~horizontal_4_3) | (~horizontal_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_4_3')).
% 0.11/0.38 tff(5,plain,
% 0.11/0.38 ((~horizontal_4_2) | (~horizontal_4_3)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.11/0.38 tff(6,plain,
% 0.11/0.38 (~horizontal_4_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[5, 2])).
% 0.11/0.38 tff(7,assumption,(vertical_2_2), introduced(assumption)).
% 0.11/0.38 tff(8,plain,
% 0.11/0.38 (((~vertical_3_2) | (~vertical_2_2)) <=> ((~vertical_2_2) | (~vertical_3_2))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(9,axiom,((~vertical_3_2) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_2')).
% 0.11/0.38 tff(10,plain,
% 0.11/0.38 ((~vertical_2_2) | (~vertical_3_2)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.11/0.38 tff(11,plain,
% 0.11/0.38 (~vertical_3_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[10, 7])).
% 0.11/0.38 tff(12,assumption,(~horizontal_4_2), introduced(assumption)).
% 0.11/0.38 tff(13,axiom,((~horizontal_3_1) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_2')).
% 0.11/0.38 tff(14,plain,
% 0.11/0.38 (~horizontal_3_1),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[13, 7])).
% 0.11/0.38 tff(15,plain,
% 0.11/0.38 (($false | horizontal_3_1 | vertical_3_1) <=> (horizontal_3_1 | vertical_3_1)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(16,plain,
% 0.11/0.38 (($false | (~vertical_2_1)) <=> (~vertical_2_1)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(17,plain,
% 0.11/0.38 ((~$true) <=> $false),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(18,plain,
% 0.11/0.38 (($false | vertical_1_1) <=> vertical_1_1),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(19,axiom,(~horizontal_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered3_1_2')).
% 0.11/0.38 tff(20,plain,
% 0.11/0.38 (horizontal_1_1 <=> $false),
% 0.11/0.38 inference(iff_false,[status(thm)],[19])).
% 0.11/0.38 tff(21,plain,
% 0.11/0.38 ((horizontal_1_1 | vertical_1_1) <=> ($false | vertical_1_1)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[20])).
% 0.11/0.38 tff(22,plain,
% 0.11/0.38 ((horizontal_1_1 | vertical_1_1) <=> vertical_1_1),
% 0.11/0.38 inference(transitivity,[status(thm)],[21, 18])).
% 0.11/0.38 tff(23,axiom,(horizontal_1_1 | vertical_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_1')).
% 0.11/0.38 tff(24,plain,
% 0.11/0.38 (vertical_1_1),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.11/0.38 tff(25,plain,
% 0.11/0.38 (vertical_1_1 <=> $true),
% 0.11/0.38 inference(iff_true,[status(thm)],[24])).
% 0.11/0.38 tff(26,plain,
% 0.11/0.38 ((~vertical_1_1) <=> (~$true)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[25])).
% 0.11/0.38 tff(27,plain,
% 0.11/0.38 ((~vertical_1_1) <=> $false),
% 0.11/0.38 inference(transitivity,[status(thm)],[26, 17])).
% 0.11/0.38 tff(28,plain,
% 0.11/0.38 (((~vertical_1_1) | (~vertical_2_1)) <=> ($false | (~vertical_2_1))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[27])).
% 0.11/0.38 tff(29,plain,
% 0.11/0.38 (((~vertical_1_1) | (~vertical_2_1)) <=> (~vertical_2_1)),
% 0.11/0.38 inference(transitivity,[status(thm)],[28, 16])).
% 0.11/0.38 tff(30,plain,
% 0.11/0.38 (((~vertical_2_1) | (~vertical_1_1)) <=> ((~vertical_1_1) | (~vertical_2_1))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(31,axiom,((~vertical_2_1) | (~vertical_1_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_1')).
% 0.11/0.38 tff(32,plain,
% 0.11/0.38 ((~vertical_1_1) | (~vertical_2_1)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.11/0.38 tff(33,plain,
% 0.11/0.38 (~vertical_2_1),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[32, 29])).
% 0.11/0.38 tff(34,plain,
% 0.11/0.38 (vertical_2_1 <=> $false),
% 0.11/0.38 inference(iff_false,[status(thm)],[33])).
% 0.11/0.38 tff(35,plain,
% 0.11/0.38 ((vertical_2_1 | horizontal_3_1 | vertical_3_1) <=> ($false | horizontal_3_1 | vertical_3_1)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[34])).
% 0.11/0.38 tff(36,plain,
% 0.11/0.38 ((vertical_2_1 | horizontal_3_1 | vertical_3_1) <=> (horizontal_3_1 | vertical_3_1)),
% 0.11/0.38 inference(transitivity,[status(thm)],[35, 15])).
% 0.11/0.38 tff(37,plain,
% 0.11/0.38 ((vertical_2_1 | horizontal_3_1 | vertical_3_1) <=> (vertical_2_1 | horizontal_3_1 | vertical_3_1)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(38,plain,
% 0.11/0.38 (((horizontal_3_1 | vertical_3_1) | vertical_2_1) <=> (vertical_2_1 | horizontal_3_1 | vertical_3_1)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(39,axiom,((horizontal_3_1 | vertical_3_1) | vertical_2_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_1')).
% 0.11/0.38 tff(40,plain,
% 0.11/0.38 (vertical_2_1 | horizontal_3_1 | vertical_3_1),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.11/0.38 tff(41,plain,
% 0.11/0.38 (vertical_2_1 | horizontal_3_1 | vertical_3_1),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[40, 37])).
% 0.11/0.38 tff(42,plain,
% 0.11/0.38 (vertical_2_1 | horizontal_3_1 | vertical_3_1),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.11/0.38 tff(43,plain,
% 0.11/0.38 (horizontal_3_1 | vertical_3_1),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[42, 36])).
% 0.11/0.38 tff(44,plain,
% 0.11/0.38 (vertical_3_1),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[43, 14])).
% 0.11/0.38 tff(45,axiom,((~horizontal_4_1) | (~vertical_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_1')).
% 0.11/0.38 tff(46,plain,
% 0.11/0.38 (~horizontal_4_1),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.11/0.38 tff(47,plain,
% 0.11/0.38 ((vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2) <=> (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(48,plain,
% 0.11/0.38 (((horizontal_4_1 | horizontal_4_2 | vertical_4_2) | vertical_3_2) <=> (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(49,plain,
% 0.11/0.38 (((horizontal_4_2 | vertical_4_2) | horizontal_4_1) <=> (horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(50,plain,
% 0.11/0.38 ((((horizontal_4_2 | vertical_4_2) | horizontal_4_1) | vertical_3_2) <=> ((horizontal_4_1 | horizontal_4_2 | vertical_4_2) | vertical_3_2)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[49])).
% 0.11/0.38 tff(51,plain,
% 0.11/0.38 ((((horizontal_4_2 | vertical_4_2) | horizontal_4_1) | vertical_3_2) <=> (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2)),
% 0.11/0.38 inference(transitivity,[status(thm)],[50, 48])).
% 0.11/0.38 tff(52,axiom,(((horizontal_4_2 | vertical_4_2) | horizontal_4_1) | vertical_3_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_2')).
% 0.11/0.38 tff(53,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.11/0.38 tff(54,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[53, 47])).
% 0.11/0.38 tff(55,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.11/0.38 tff(56,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[55, 47])).
% 0.11/0.38 tff(57,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[56, 47])).
% 0.11/0.38 tff(58,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[57, 47])).
% 0.11/0.38 tff(59,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[58, 47])).
% 0.11/0.38 tff(60,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[59, 47])).
% 0.11/0.38 tff(61,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[60, 47])).
% 0.11/0.38 tff(62,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[61, 47])).
% 0.11/0.38 tff(63,plain,
% 0.11/0.38 (vertical_3_2 | horizontal_4_1 | horizontal_4_2 | vertical_4_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[62, 47])).
% 0.11/0.38 tff(64,plain,
% 0.11/0.38 (vertical_4_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[63, 46, 12, 11])).
% 0.11/0.38 tff(65,plain,
% 0.11/0.38 (((~vertical_4_1) | (~vertical_3_1)) <=> ((~vertical_3_1) | (~vertical_4_1))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(66,axiom,((~vertical_4_1) | (~vertical_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_1')).
% 0.11/0.38 tff(67,plain,
% 0.11/0.38 ((~vertical_3_1) | (~vertical_4_1)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.11/0.38 tff(68,plain,
% 0.11/0.38 (~vertical_4_1),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[67, 44])).
% 0.11/0.38 tff(69,axiom,(horizontal_5_1 | vertical_4_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_1')).
% 0.11/0.38 tff(70,plain,
% 0.11/0.38 (horizontal_5_1),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[69, 68])).
% 0.11/0.38 tff(71,axiom,((~horizontal_5_1) | (~vertical_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_2')).
% 0.11/0.38 tff(72,plain,
% 0.11/0.38 ($false),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[71, 70, 64])).
% 0.11/0.38 tff(73,plain,((~vertical_2_2) | horizontal_4_2), inference(lemma,lemma(discharge,[]))).
% 0.11/0.38 tff(74,plain,
% 0.11/0.38 (~vertical_2_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[73, 6])).
% 0.11/0.38 tff(75,plain,
% 0.11/0.38 (($false | horizontal_2_2 | vertical_2_2) <=> (horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(76,plain,
% 0.11/0.38 (((~horizontal_2_1) | $false) <=> (~horizontal_2_1)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(77,plain,
% 0.11/0.38 (((~horizontal_2_1) | (~vertical_1_1)) <=> ((~horizontal_2_1) | $false)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[27])).
% 0.11/0.38 tff(78,plain,
% 0.11/0.38 (((~horizontal_2_1) | (~vertical_1_1)) <=> (~horizontal_2_1)),
% 0.11/0.38 inference(transitivity,[status(thm)],[77, 76])).
% 0.11/0.38 tff(79,axiom,((~horizontal_2_1) | (~vertical_1_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_2_1')).
% 0.11/0.38 tff(80,plain,
% 0.11/0.38 (~horizontal_2_1),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.11/0.38 tff(81,plain,
% 0.11/0.38 (horizontal_2_1 <=> $false),
% 0.11/0.38 inference(iff_false,[status(thm)],[80])).
% 0.11/0.38 tff(82,plain,
% 0.11/0.38 ((horizontal_2_1 | horizontal_2_2 | vertical_2_2) <=> ($false | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[81])).
% 0.11/0.38 tff(83,plain,
% 0.11/0.38 ((horizontal_2_1 | horizontal_2_2 | vertical_2_2) <=> (horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(transitivity,[status(thm)],[82, 75])).
% 0.11/0.38 tff(84,plain,
% 0.11/0.38 (($false | horizontal_2_1 | horizontal_2_2 | vertical_2_2) <=> (horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(85,axiom,(~vertical_1_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered2_1_2')).
% 0.11/0.38 tff(86,plain,
% 0.11/0.38 (vertical_1_2 <=> $false),
% 0.11/0.38 inference(iff_false,[status(thm)],[85])).
% 0.11/0.38 tff(87,plain,
% 0.11/0.38 ((vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2) <=> ($false | horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[86])).
% 0.11/0.38 tff(88,plain,
% 0.11/0.38 ((vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2) <=> (horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(transitivity,[status(thm)],[87, 84])).
% 0.11/0.38 tff(89,plain,
% 0.11/0.38 ((vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2) <=> (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(90,plain,
% 0.11/0.38 (((horizontal_2_1 | horizontal_2_2 | vertical_2_2) | vertical_1_2) <=> (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(91,plain,
% 0.11/0.38 (((horizontal_2_2 | vertical_2_2) | horizontal_2_1) <=> (horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(92,plain,
% 0.11/0.38 ((((horizontal_2_2 | vertical_2_2) | horizontal_2_1) | vertical_1_2) <=> ((horizontal_2_1 | horizontal_2_2 | vertical_2_2) | vertical_1_2)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[91])).
% 0.11/0.38 tff(93,plain,
% 0.11/0.38 ((((horizontal_2_2 | vertical_2_2) | horizontal_2_1) | vertical_1_2) <=> (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2)),
% 0.11/0.38 inference(transitivity,[status(thm)],[92, 90])).
% 0.11/0.38 tff(94,axiom,(((horizontal_2_2 | vertical_2_2) | horizontal_2_1) | vertical_1_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_2')).
% 0.11/0.38 tff(95,plain,
% 0.11/0.38 (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.11/0.38 tff(96,plain,
% 0.11/0.38 (vertical_1_2 | horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[95, 89])).
% 0.11/0.38 tff(97,plain,
% 0.11/0.38 (horizontal_2_1 | horizontal_2_2 | vertical_2_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[96, 88])).
% 0.11/0.38 tff(98,plain,
% 0.11/0.38 (horizontal_2_2 | vertical_2_2),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[97, 83])).
% 0.11/0.38 tff(99,plain,
% 0.11/0.38 (horizontal_2_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[98, 74])).
% 0.11/0.38 tff(100,plain,
% 0.11/0.38 (((~horizontal_2_3) | (~horizontal_2_2)) <=> ((~horizontal_2_2) | (~horizontal_2_3))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(101,axiom,((~horizontal_2_3) | (~horizontal_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_2_3')).
% 0.11/0.38 tff(102,plain,
% 0.11/0.38 ((~horizontal_2_2) | (~horizontal_2_3)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.11/0.38 tff(103,plain,
% 0.11/0.38 (~horizontal_2_3),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[102, 99])).
% 0.11/0.38 tff(104,assumption,(~vertical_2_5), introduced(assumption)).
% 0.11/0.38 tff(105,assumption,(horizontal_3_1), introduced(assumption)).
% 0.11/0.38 tff(106,plain,
% 0.11/0.38 (~vertical_2_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[13, 105])).
% 0.11/0.38 tff(107,plain,
% 0.11/0.38 (horizontal_2_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[98, 106])).
% 0.11/0.38 tff(108,plain,
% 0.11/0.38 (((~vertical_2_3) | (~horizontal_2_2)) <=> ((~horizontal_2_2) | (~vertical_2_3))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(109,axiom,((~vertical_2_3) | (~horizontal_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_3')).
% 0.11/0.38 tff(110,plain,
% 0.11/0.38 ((~horizontal_2_2) | (~vertical_2_3)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.11/0.38 tff(111,plain,
% 0.11/0.38 (~vertical_2_3),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[110, 107])).
% 0.11/0.38 tff(112,plain,
% 0.11/0.38 (((~horizontal_3_2) | (~horizontal_3_1)) <=> ((~horizontal_3_1) | (~horizontal_3_2))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(113,axiom,((~horizontal_3_2) | (~horizontal_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_2')).
% 0.11/0.38 tff(114,plain,
% 0.11/0.38 ((~horizontal_3_1) | (~horizontal_3_2)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.11/0.38 tff(115,plain,
% 0.11/0.38 (~horizontal_3_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[114, 105])).
% 0.11/0.38 tff(116,plain,
% 0.11/0.38 (((~vertical_3_2) | (~horizontal_3_1)) <=> ((~horizontal_3_1) | (~vertical_3_2))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(117,axiom,((~vertical_3_2) | (~horizontal_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_2')).
% 0.11/0.38 tff(118,plain,
% 0.11/0.38 ((~horizontal_3_1) | (~vertical_3_2)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.11/0.38 tff(119,plain,
% 0.11/0.38 (~vertical_3_2),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[118, 105])).
% 0.11/0.38 tff(120,assumption,(~vertical_2_3), introduced(assumption)).
% 0.11/0.38 tff(121,assumption,(horizontal_5_4), introduced(assumption)).
% 0.11/0.38 tff(122,plain,
% 0.11/0.38 (((~horizontal_5_4) | (~horizontal_5_3)) <=> ((~horizontal_5_3) | (~horizontal_5_4))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(123,axiom,((~horizontal_5_4) | (~horizontal_5_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_4')).
% 0.11/0.38 tff(124,plain,
% 0.11/0.38 ((~horizontal_5_3) | (~horizontal_5_4)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.11/0.38 tff(125,plain,
% 0.11/0.38 (~horizontal_5_3),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[124, 121])).
% 0.11/0.38 tff(126,axiom,((~horizontal_5_4) | (~vertical_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_4')).
% 0.11/0.38 tff(127,plain,
% 0.11/0.38 (~vertical_4_4),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[126, 121])).
% 0.11/0.38 tff(128,assumption,(vertical_4_3), introduced(assumption)).
% 0.11/0.38 tff(129,plain,
% 0.11/0.38 (((~vertical_4_3) | (~vertical_3_3)) <=> ((~vertical_3_3) | (~vertical_4_3))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(130,axiom,((~vertical_4_3) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_3')).
% 0.11/0.38 tff(131,plain,
% 0.11/0.38 ((~vertical_3_3) | (~vertical_4_3)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.11/0.38 tff(132,plain,
% 0.11/0.38 (~vertical_3_3),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[131, 128])).
% 0.11/0.38 tff(133,plain,
% 0.11/0.38 ((vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3) <=> (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(134,plain,
% 0.11/0.38 (((horizontal_3_2 | horizontal_3_3 | vertical_3_3) | vertical_2_3) <=> (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(135,plain,
% 0.11/0.38 (((horizontal_3_3 | vertical_3_3) | horizontal_3_2) <=> (horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(136,plain,
% 0.11/0.38 ((((horizontal_3_3 | vertical_3_3) | horizontal_3_2) | vertical_2_3) <=> ((horizontal_3_2 | horizontal_3_3 | vertical_3_3) | vertical_2_3)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[135])).
% 0.11/0.38 tff(137,plain,
% 0.11/0.38 ((((horizontal_3_3 | vertical_3_3) | horizontal_3_2) | vertical_2_3) <=> (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3)),
% 0.11/0.38 inference(transitivity,[status(thm)],[136, 134])).
% 0.11/0.38 tff(138,axiom,(((horizontal_3_3 | vertical_3_3) | horizontal_3_2) | vertical_2_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_3')).
% 0.11/0.38 tff(139,plain,
% 0.11/0.38 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.11/0.38 tff(140,plain,
% 0.11/0.38 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[139, 133])).
% 0.11/0.38 tff(141,plain,
% 0.11/0.38 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[140, 133])).
% 0.11/0.38 tff(142,plain,
% 0.11/0.38 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[141, 133])).
% 0.11/0.38 tff(143,plain,
% 0.11/0.38 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[142, 133])).
% 0.11/0.38 tff(144,plain,
% 0.11/0.38 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[143, 133])).
% 0.11/0.38 tff(145,plain,
% 0.11/0.38 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[144, 133])).
% 0.11/0.39 tff(146,plain,
% 0.11/0.39 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[145, 133])).
% 0.11/0.39 tff(147,plain,
% 0.11/0.39 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[146, 133])).
% 0.11/0.39 tff(148,plain,
% 0.11/0.39 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[147, 133])).
% 0.11/0.39 tff(149,plain,
% 0.11/0.39 (vertical_2_3 | horizontal_3_2 | horizontal_3_3 | vertical_3_3),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[148, 133])).
% 0.11/0.39 tff(150,plain,
% 0.11/0.39 (horizontal_3_3),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[149, 132, 1, 120])).
% 0.11/0.39 tff(151,plain,
% 0.11/0.39 (((~horizontal_3_4) | (~horizontal_3_3)) <=> ((~horizontal_3_3) | (~horizontal_3_4))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(152,axiom,((~horizontal_3_4) | (~horizontal_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_4')).
% 0.11/0.39 tff(153,plain,
% 0.11/0.39 ((~horizontal_3_3) | (~horizontal_3_4)),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.11/0.39 tff(154,plain,
% 0.11/0.39 (~horizontal_3_4),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[153, 150])).
% 0.11/0.39 tff(155,plain,
% 0.11/0.39 ((vertical_2_5 | horizontal_3_4 | vertical_3_5) <=> (vertical_2_5 | horizontal_3_4 | vertical_3_5)),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(156,plain,
% 0.11/0.39 (((horizontal_3_4 | vertical_3_5) | vertical_2_5) <=> (vertical_2_5 | horizontal_3_4 | vertical_3_5)),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(157,plain,
% 0.11/0.39 ((vertical_3_5 | horizontal_3_4) <=> (horizontal_3_4 | vertical_3_5)),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(158,plain,
% 0.11/0.39 (((vertical_3_5 | horizontal_3_4) | vertical_2_5) <=> ((horizontal_3_4 | vertical_3_5) | vertical_2_5)),
% 0.11/0.39 inference(monotonicity,[status(thm)],[157])).
% 0.11/0.39 tff(159,plain,
% 0.11/0.39 (((vertical_3_5 | horizontal_3_4) | vertical_2_5) <=> (vertical_2_5 | horizontal_3_4 | vertical_3_5)),
% 0.11/0.39 inference(transitivity,[status(thm)],[158, 156])).
% 0.11/0.39 tff(160,axiom,((vertical_3_5 | horizontal_3_4) | vertical_2_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_5')).
% 0.11/0.39 tff(161,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.11/0.39 tff(162,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[161, 155])).
% 0.11/0.39 tff(163,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[162, 155])).
% 0.11/0.39 tff(164,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[163, 155])).
% 0.11/0.39 tff(165,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[164, 155])).
% 0.11/0.39 tff(166,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[165, 155])).
% 0.11/0.39 tff(167,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[166, 155])).
% 0.11/0.39 tff(168,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[167, 155])).
% 0.11/0.39 tff(169,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[168, 155])).
% 0.11/0.39 tff(170,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[169, 155])).
% 0.11/0.39 tff(171,plain,
% 0.11/0.39 (vertical_2_5 | horizontal_3_4 | vertical_3_5),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[170, 155])).
% 0.11/0.39 tff(172,plain,
% 0.11/0.39 (vertical_3_5),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[171, 154, 104])).
% 0.11/0.39 tff(173,assumption,(~vertical_4_4), introduced(assumption)).
% 0.11/0.39 tff(174,axiom,((~horizontal_4_3) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_3')).
% 0.11/0.39 tff(175,plain,
% 0.11/0.39 (~horizontal_4_3),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[174, 128])).
% 0.11/0.39 tff(176,plain,
% 0.11/0.39 (((~vertical_3_4) | (~horizontal_3_3)) <=> ((~horizontal_3_3) | (~vertical_3_4))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(177,axiom,((~vertical_3_4) | (~horizontal_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_4')).
% 0.18/0.39 tff(178,plain,
% 0.18/0.39 ((~horizontal_3_3) | (~vertical_3_4)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.18/0.39 tff(179,plain,
% 0.18/0.39 (~vertical_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[178, 150])).
% 0.18/0.39 tff(180,plain,
% 0.18/0.39 ((vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4) <=> (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(181,plain,
% 0.18/0.39 (((horizontal_4_3 | horizontal_4_4 | vertical_4_4) | vertical_3_4) <=> (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(182,plain,
% 0.18/0.39 (((horizontal_4_4 | vertical_4_4) | horizontal_4_3) <=> (horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(183,plain,
% 0.18/0.39 ((((horizontal_4_4 | vertical_4_4) | horizontal_4_3) | vertical_3_4) <=> ((horizontal_4_3 | horizontal_4_4 | vertical_4_4) | vertical_3_4)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[182])).
% 0.18/0.39 tff(184,plain,
% 0.18/0.39 ((((horizontal_4_4 | vertical_4_4) | horizontal_4_3) | vertical_3_4) <=> (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4)),
% 0.18/0.39 inference(transitivity,[status(thm)],[183, 181])).
% 0.18/0.39 tff(185,axiom,(((horizontal_4_4 | vertical_4_4) | horizontal_4_3) | vertical_3_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_4')).
% 0.18/0.39 tff(186,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.18/0.39 tff(187,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[186, 180])).
% 0.18/0.39 tff(188,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[187, 180])).
% 0.18/0.39 tff(189,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[188, 180])).
% 0.18/0.39 tff(190,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[189, 180])).
% 0.18/0.39 tff(191,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[190, 180])).
% 0.18/0.39 tff(192,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[191, 180])).
% 0.18/0.39 tff(193,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[192, 180])).
% 0.18/0.39 tff(194,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[193, 180])).
% 0.18/0.39 tff(195,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[194, 180])).
% 0.18/0.39 tff(196,plain,
% 0.18/0.39 (vertical_3_4 | horizontal_4_3 | horizontal_4_4 | vertical_4_4),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[195, 180])).
% 0.18/0.39 tff(197,plain,
% 0.18/0.39 (horizontal_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[196, 179, 175, 173])).
% 0.18/0.39 tff(198,axiom,((~horizontal_4_4) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_5')).
% 0.18/0.39 tff(199,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[198, 197, 172])).
% 0.18/0.39 tff(200,plain,((~vertical_4_3) | vertical_4_4 | vertical_2_5 | horizontal_3_2 | vertical_2_3), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(201,plain,
% 0.18/0.39 (~vertical_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[200, 127, 104, 1, 120])).
% 0.18/0.39 tff(202,plain,
% 0.18/0.39 ((vertical_4_3 | horizontal_5_2 | horizontal_5_3) <=> (vertical_4_3 | horizontal_5_2 | horizontal_5_3)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(203,plain,
% 0.18/0.39 (((horizontal_5_2 | horizontal_5_3) | vertical_4_3) <=> (vertical_4_3 | horizontal_5_2 | horizontal_5_3)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(204,plain,
% 0.18/0.39 ((horizontal_5_3 | horizontal_5_2) <=> (horizontal_5_2 | horizontal_5_3)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(205,plain,
% 0.18/0.39 (((horizontal_5_3 | horizontal_5_2) | vertical_4_3) <=> ((horizontal_5_2 | horizontal_5_3) | vertical_4_3)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[204])).
% 0.18/0.39 tff(206,plain,
% 0.18/0.39 (((horizontal_5_3 | horizontal_5_2) | vertical_4_3) <=> (vertical_4_3 | horizontal_5_2 | horizontal_5_3)),
% 0.18/0.39 inference(transitivity,[status(thm)],[205, 203])).
% 0.18/0.39 tff(207,axiom,((horizontal_5_3 | horizontal_5_2) | vertical_4_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_3')).
% 0.18/0.39 tff(208,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.18/0.39 tff(209,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[208, 202])).
% 0.18/0.39 tff(210,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[209, 202])).
% 0.18/0.39 tff(211,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[210, 202])).
% 0.18/0.39 tff(212,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[211, 202])).
% 0.18/0.39 tff(213,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[212, 202])).
% 0.18/0.39 tff(214,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[213, 202])).
% 0.18/0.39 tff(215,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[214, 202])).
% 0.18/0.39 tff(216,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[215, 202])).
% 0.18/0.39 tff(217,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[216, 202])).
% 0.18/0.39 tff(218,plain,
% 0.18/0.39 (vertical_4_3 | horizontal_5_2 | horizontal_5_3),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[217, 202])).
% 0.18/0.39 tff(219,plain,
% 0.18/0.39 (horizontal_5_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[218, 201, 125])).
% 0.18/0.39 tff(220,axiom,((~horizontal_5_2) | (~vertical_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_2')).
% 0.18/0.39 tff(221,plain,
% 0.18/0.39 (~vertical_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[220, 219])).
% 0.18/0.39 tff(222,assumption,(~vertical_3_2), introduced(assumption)).
% 0.18/0.39 tff(223,plain,
% 0.18/0.39 (((~horizontal_5_2) | (~horizontal_5_1)) <=> ((~horizontal_5_1) | (~horizontal_5_2))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(224,axiom,((~horizontal_5_2) | (~horizontal_5_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_2')).
% 0.18/0.39 tff(225,plain,
% 0.18/0.39 ((~horizontal_5_1) | (~horizontal_5_2)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[224, 223])).
% 0.18/0.39 tff(226,plain,
% 0.18/0.39 (~horizontal_5_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[225, 219])).
% 0.18/0.39 tff(227,plain,
% 0.18/0.39 (vertical_4_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[69, 226])).
% 0.18/0.39 tff(228,axiom,((~horizontal_4_1) | (~vertical_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_1')).
% 0.18/0.39 tff(229,plain,
% 0.18/0.39 (~horizontal_4_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[228, 227])).
% 0.18/0.39 tff(230,plain,
% 0.18/0.39 (horizontal_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[63, 229, 222, 221])).
% 0.18/0.39 tff(231,axiom,((~horizontal_4_2) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_3')).
% 0.18/0.39 tff(232,plain,
% 0.18/0.39 (~vertical_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[231, 230])).
% 0.18/0.39 tff(233,plain,
% 0.18/0.39 (horizontal_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[149, 232, 1, 120])).
% 0.18/0.39 tff(234,plain,
% 0.18/0.39 (~horizontal_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[153, 233])).
% 0.18/0.39 tff(235,plain,
% 0.18/0.39 (vertical_3_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[171, 234, 104])).
% 0.18/0.39 tff(236,plain,
% 0.18/0.39 (~horizontal_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[5, 230])).
% 0.18/0.39 tff(237,plain,
% 0.18/0.39 (~vertical_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[178, 233])).
% 0.18/0.39 tff(238,plain,
% 0.18/0.39 (horizontal_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[196, 237, 236, 127])).
% 0.18/0.39 tff(239,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[198, 238, 235])).
% 0.18/0.39 tff(240,plain,((~horizontal_5_4) | vertical_2_5 | horizontal_3_2 | vertical_2_3 | vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(241,plain,
% 0.18/0.39 (~horizontal_5_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[240, 115, 104, 111, 119])).
% 0.18/0.39 tff(242,axiom,(horizontal_5_4 | vertical_4_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_5')).
% 0.18/0.39 tff(243,plain,
% 0.18/0.39 (vertical_4_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[242, 241])).
% 0.18/0.39 tff(244,plain,
% 0.18/0.39 (((~vertical_4_5) | (~vertical_3_5)) <=> ((~vertical_3_5) | (~vertical_4_5))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(245,axiom,((~vertical_4_5) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_5')).
% 0.18/0.39 tff(246,plain,
% 0.18/0.39 ((~vertical_3_5) | (~vertical_4_5)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.18/0.39 tff(247,plain,
% 0.18/0.39 (~vertical_3_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[246, 243])).
% 0.18/0.39 tff(248,plain,
% 0.18/0.39 (horizontal_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[171, 247, 104])).
% 0.18/0.39 tff(249,plain,
% 0.18/0.39 (~horizontal_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[153, 248])).
% 0.18/0.39 tff(250,plain,
% 0.18/0.39 (vertical_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[149, 249, 115, 111])).
% 0.18/0.39 tff(251,plain,
% 0.18/0.39 (~vertical_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[131, 250])).
% 0.18/0.39 tff(252,axiom,((~horizontal_3_4) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_4')).
% 0.18/0.39 tff(253,plain,
% 0.18/0.39 (~vertical_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[252, 248])).
% 0.18/0.39 tff(254,plain,
% 0.18/0.39 (((~vertical_4_5) | (~horizontal_4_4)) <=> ((~horizontal_4_4) | (~vertical_4_5))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(255,axiom,((~vertical_4_5) | (~horizontal_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_5')).
% 0.18/0.39 tff(256,plain,
% 0.18/0.39 ((~horizontal_4_4) | (~vertical_4_5)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[255, 254])).
% 0.18/0.39 tff(257,plain,
% 0.18/0.39 (~horizontal_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[256, 243])).
% 0.18/0.39 tff(258,axiom,((~horizontal_4_3) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_3')).
% 0.18/0.39 tff(259,plain,
% 0.18/0.39 (~horizontal_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[258, 250])).
% 0.18/0.39 tff(260,plain,
% 0.18/0.39 (vertical_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[196, 259, 257, 253])).
% 0.18/0.39 tff(261,axiom,((~horizontal_5_3) | (~vertical_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_4')).
% 0.18/0.39 tff(262,plain,
% 0.18/0.39 (~horizontal_5_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[261, 260])).
% 0.18/0.39 tff(263,plain,
% 0.18/0.39 (horizontal_5_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[218, 262, 251])).
% 0.18/0.39 tff(264,plain,
% 0.18/0.39 (~horizontal_5_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[225, 263])).
% 0.18/0.39 tff(265,plain,
% 0.18/0.39 (vertical_4_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[69, 264])).
% 0.18/0.39 tff(266,plain,
% 0.18/0.39 (~horizontal_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[231, 250])).
% 0.18/0.39 tff(267,plain,
% 0.18/0.39 (~vertical_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[220, 263])).
% 0.18/0.39 tff(268,plain,
% 0.18/0.39 (horizontal_4_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[63, 267, 119, 266])).
% 0.18/0.39 tff(269,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[228, 268, 265])).
% 0.18/0.39 tff(270,plain,((~horizontal_3_1) | vertical_2_5), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(271,plain,
% 0.18/0.39 (~horizontal_3_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[270, 104])).
% 0.18/0.39 tff(272,plain,
% 0.18/0.39 (vertical_3_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[43, 271])).
% 0.18/0.39 tff(273,plain,
% 0.18/0.39 (~vertical_4_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[67, 272])).
% 0.18/0.39 tff(274,plain,
% 0.18/0.39 (horizontal_5_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[69, 273])).
% 0.18/0.39 tff(275,plain,
% 0.18/0.39 (~horizontal_5_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[225, 274])).
% 0.18/0.39 tff(276,plain,
% 0.18/0.39 (~vertical_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[71, 274])).
% 0.18/0.39 tff(277,plain,
% 0.18/0.39 (~horizontal_4_1),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[45, 272])).
% 0.18/0.39 tff(278,assumption,(horizontal_4_4), introduced(assumption)).
% 0.18/0.39 tff(279,axiom,((~horizontal_4_4) | (~vertical_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_4')).
% 0.18/0.39 tff(280,plain,
% 0.18/0.39 (~vertical_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[279, 278])).
% 0.18/0.39 tff(281,plain,
% 0.18/0.39 (~vertical_4_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[256, 278])).
% 0.18/0.39 tff(282,plain,
% 0.18/0.39 (horizontal_5_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[242, 281])).
% 0.18/0.39 tff(283,plain,
% 0.18/0.39 (~horizontal_5_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[124, 282])).
% 0.18/0.39 tff(284,plain,
% 0.18/0.39 (vertical_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[218, 283, 275])).
% 0.18/0.39 tff(285,plain,
% 0.18/0.39 (vertical_2_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[200, 284, 104, 1, 280])).
% 0.18/0.39 tff(286,plain,
% 0.18/0.39 (~horizontal_2_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[110, 285])).
% 0.18/0.39 tff(287,plain,
% 0.18/0.39 (((~vertical_4_3) | (~horizontal_4_2)) <=> ((~horizontal_4_2) | (~vertical_4_3))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(288,axiom,((~vertical_4_3) | (~horizontal_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_3')).
% 0.18/0.39 tff(289,plain,
% 0.18/0.39 ((~horizontal_4_2) | (~vertical_4_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.18/0.39 tff(290,plain,
% 0.18/0.39 (~horizontal_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[289, 284])).
% 0.18/0.39 tff(291,plain,
% 0.18/0.39 (vertical_3_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[63, 290, 277, 276])).
% 0.18/0.39 tff(292,plain,
% 0.18/0.39 (~vertical_2_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[10, 291])).
% 0.18/0.39 tff(293,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[98, 292, 286])).
% 0.18/0.39 tff(294,plain,((~horizontal_4_4) | vertical_2_5 | horizontal_3_2), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(295,plain,
% 0.18/0.39 (~horizontal_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[294, 1, 104])).
% 0.18/0.39 tff(296,assumption,(~vertical_3_4), introduced(assumption)).
% 0.18/0.39 tff(297,assumption,(~horizontal_4_4), introduced(assumption)).
% 0.18/0.39 tff(298,assumption,(horizontal_5_3), introduced(assumption)).
% 0.18/0.39 tff(299,plain,
% 0.18/0.39 (~horizontal_5_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[124, 298])).
% 0.18/0.39 tff(300,plain,
% 0.18/0.39 (vertical_4_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[242, 299])).
% 0.18/0.39 tff(301,plain,
% 0.18/0.39 (~vertical_3_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[246, 300])).
% 0.18/0.39 tff(302,plain,
% 0.18/0.39 (horizontal_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[171, 301, 104])).
% 0.18/0.39 tff(303,plain,
% 0.18/0.39 (~vertical_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[261, 298])).
% 0.18/0.39 tff(304,plain,
% 0.18/0.39 (horizontal_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[196, 303, 297, 296])).
% 0.18/0.39 tff(305,plain,
% 0.18/0.39 (~vertical_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[258, 304])).
% 0.18/0.39 tff(306,plain,
% 0.18/0.39 (horizontal_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[149, 305, 1, 120])).
% 0.18/0.39 tff(307,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[153, 306, 302])).
% 0.18/0.39 tff(308,plain,((~horizontal_5_3) | horizontal_3_2 | vertical_2_3 | vertical_2_5 | horizontal_4_4 | vertical_3_4), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(309,plain,
% 0.18/0.39 (~horizontal_5_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[308, 120, 1, 104, 297, 296])).
% 0.18/0.39 tff(310,plain,
% 0.18/0.39 (vertical_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[218, 309, 275])).
% 0.18/0.39 tff(311,plain,
% 0.18/0.39 (vertical_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[200, 310, 104, 1, 120])).
% 0.18/0.39 tff(312,plain,
% 0.18/0.39 (~horizontal_5_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[126, 311])).
% 0.18/0.39 tff(313,plain,
% 0.18/0.39 (vertical_4_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[242, 312])).
% 0.18/0.39 tff(314,plain,
% 0.18/0.39 (~vertical_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[131, 310])).
% 0.18/0.39 tff(315,plain,
% 0.18/0.39 (horizontal_3_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[149, 314, 1, 120])).
% 0.18/0.39 tff(316,plain,
% 0.18/0.39 (~horizontal_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[153, 315])).
% 0.18/0.39 tff(317,plain,
% 0.18/0.39 (vertical_3_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[171, 316, 104])).
% 0.18/0.39 tff(318,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[246, 317, 313])).
% 0.18/0.39 tff(319,plain,(vertical_2_3 | vertical_2_5 | horizontal_3_2 | horizontal_4_4 | vertical_3_4), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(320,plain,
% 0.18/0.39 (vertical_2_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[319, 297, 1, 104, 296])).
% 0.18/0.39 tff(321,plain,
% 0.18/0.39 (~horizontal_2_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[110, 320])).
% 0.18/0.39 tff(322,plain,
% 0.18/0.39 (vertical_2_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[98, 321])).
% 0.18/0.39 tff(323,plain,
% 0.18/0.39 (~vertical_3_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[10, 322])).
% 0.18/0.39 tff(324,plain,
% 0.18/0.39 (horizontal_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[63, 323, 277, 276])).
% 0.18/0.39 tff(325,plain,
% 0.18/0.39 (~horizontal_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[5, 324])).
% 0.18/0.39 tff(326,plain,
% 0.18/0.39 (vertical_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[196, 325, 297, 296])).
% 0.18/0.39 tff(327,plain,
% 0.18/0.39 (~vertical_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[289, 324])).
% 0.18/0.39 tff(328,plain,
% 0.18/0.39 (horizontal_5_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[218, 327, 275])).
% 0.18/0.39 tff(329,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[261, 328, 326])).
% 0.18/0.39 tff(330,plain,(horizontal_4_4 | vertical_3_4 | horizontal_3_2 | vertical_2_5), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(331,plain,
% 0.18/0.39 (vertical_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[330, 295, 1, 104])).
% 0.18/0.39 tff(332,plain,
% 0.18/0.39 (((~vertical_4_4) | (~vertical_3_4)) <=> ((~vertical_3_4) | (~vertical_4_4))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(333,axiom,((~vertical_4_4) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_4')).
% 0.18/0.39 tff(334,plain,
% 0.18/0.39 ((~vertical_3_4) | (~vertical_4_4)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[333, 332])).
% 0.18/0.39 tff(335,plain,
% 0.18/0.39 (~vertical_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[334, 331])).
% 0.18/0.39 tff(336,plain,
% 0.18/0.39 (~horizontal_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[252, 331])).
% 0.18/0.39 tff(337,plain,
% 0.18/0.39 (vertical_3_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[171, 336, 104])).
% 0.18/0.39 tff(338,plain,
% 0.18/0.39 (~vertical_4_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[246, 337])).
% 0.18/0.39 tff(339,plain,
% 0.18/0.39 (horizontal_5_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[242, 338])).
% 0.18/0.39 tff(340,plain,
% 0.18/0.39 (~horizontal_5_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[124, 339])).
% 0.18/0.39 tff(341,plain,
% 0.18/0.39 (vertical_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[218, 340, 275])).
% 0.18/0.39 tff(342,plain,
% 0.18/0.39 (vertical_2_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[200, 341, 104, 1, 335])).
% 0.18/0.39 tff(343,plain,
% 0.18/0.39 (~horizontal_2_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[110, 342])).
% 0.18/0.39 tff(344,plain,
% 0.18/0.39 (~horizontal_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[289, 341])).
% 0.18/0.39 tff(345,plain,
% 0.18/0.39 (vertical_3_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[63, 344, 277, 276])).
% 0.18/0.39 tff(346,plain,
% 0.18/0.39 (~vertical_2_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[10, 345])).
% 0.18/0.39 tff(347,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[98, 346, 343])).
% 0.18/0.39 tff(348,plain,(horizontal_3_2 | vertical_2_5), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(349,plain,
% 0.18/0.39 (horizontal_3_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[348, 104])).
% 0.18/0.39 tff(350,axiom,((~horizontal_3_2) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_2')).
% 0.18/0.39 tff(351,plain,
% 0.18/0.39 (~vertical_3_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[350, 349])).
% 0.18/0.39 tff(352,plain,
% 0.18/0.39 (horizontal_4_2),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[63, 351, 277, 276])).
% 0.18/0.39 tff(353,plain,
% 0.18/0.39 (~vertical_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[289, 352])).
% 0.18/0.39 tff(354,plain,
% 0.18/0.39 (horizontal_5_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[218, 353, 275])).
% 0.18/0.39 tff(355,plain,
% 0.18/0.39 (~vertical_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[261, 354])).
% 0.18/0.39 tff(356,plain,
% 0.18/0.39 (~horizontal_4_3),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[5, 352])).
% 0.18/0.39 tff(357,plain,
% 0.18/0.39 (~horizontal_5_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[124, 354])).
% 0.18/0.39 tff(358,plain,
% 0.18/0.39 (vertical_4_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[242, 357])).
% 0.18/0.39 tff(359,plain,
% 0.18/0.39 (~horizontal_4_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[256, 358])).
% 0.18/0.39 tff(360,plain,
% 0.18/0.39 (vertical_3_4),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[196, 359, 356, 355])).
% 0.18/0.39 tff(361,plain,
% 0.18/0.39 (~vertical_3_5),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[246, 358])).
% 0.18/0.40 tff(362,plain,
% 0.18/0.40 (horizontal_3_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[171, 361, 104])).
% 0.18/0.40 tff(363,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[252, 362, 360])).
% 0.18/0.40 tff(364,plain,(vertical_2_5), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(365,plain,
% 0.18/0.40 (((~vertical_2_5) | (~vertical_1_5)) <=> ((~vertical_1_5) | (~vertical_2_5))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(366,axiom,((~vertical_2_5) | (~vertical_1_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_5')).
% 0.18/0.40 tff(367,plain,
% 0.18/0.40 ((~vertical_1_5) | (~vertical_2_5)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[366, 365])).
% 0.18/0.40 tff(368,plain,
% 0.18/0.40 (~vertical_1_5),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[367, 364])).
% 0.18/0.40 tff(369,plain,
% 0.18/0.40 ((vertical_1_5 | horizontal_1_4) <=> (horizontal_1_4 | vertical_1_5)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(370,axiom,(vertical_1_5 | horizontal_1_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_5')).
% 0.18/0.40 tff(371,plain,
% 0.18/0.40 (horizontal_1_4 | vertical_1_5),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[370, 369])).
% 0.18/0.40 tff(372,plain,
% 0.18/0.40 (horizontal_1_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[371, 368])).
% 0.18/0.40 tff(373,axiom,((~horizontal_1_4) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_1_4')).
% 0.18/0.40 tff(374,plain,
% 0.18/0.40 (~vertical_1_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[373, 372])).
% 0.18/0.40 tff(375,plain,
% 0.18/0.40 (((~vertical_2_5) | (~horizontal_2_4)) <=> ((~horizontal_2_4) | (~vertical_2_5))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(376,axiom,((~vertical_2_5) | (~horizontal_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_5')).
% 0.18/0.40 tff(377,plain,
% 0.18/0.40 ((~horizontal_2_4) | (~vertical_2_5)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.18/0.40 tff(378,plain,
% 0.18/0.40 (~horizontal_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[377, 364])).
% 0.18/0.40 tff(379,plain,
% 0.18/0.40 ((vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4) <=> (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(380,plain,
% 0.18/0.40 (((horizontal_2_3 | horizontal_2_4 | vertical_2_4) | vertical_1_4) <=> (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(381,plain,
% 0.18/0.40 (((horizontal_2_4 | vertical_2_4) | horizontal_2_3) <=> (horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(382,plain,
% 0.18/0.40 ((((horizontal_2_4 | vertical_2_4) | horizontal_2_3) | vertical_1_4) <=> ((horizontal_2_3 | horizontal_2_4 | vertical_2_4) | vertical_1_4)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[381])).
% 0.18/0.40 tff(383,plain,
% 0.18/0.40 ((((horizontal_2_4 | vertical_2_4) | horizontal_2_3) | vertical_1_4) <=> (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4)),
% 0.18/0.40 inference(transitivity,[status(thm)],[382, 380])).
% 0.18/0.40 tff(384,axiom,(((horizontal_2_4 | vertical_2_4) | horizontal_2_3) | vertical_1_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_4')).
% 0.18/0.40 tff(385,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[384, 383])).
% 0.18/0.40 tff(386,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[385, 379])).
% 0.18/0.40 tff(387,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[386, 379])).
% 0.18/0.40 tff(388,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[387, 379])).
% 0.18/0.40 tff(389,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[388, 379])).
% 0.18/0.40 tff(390,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[389, 379])).
% 0.18/0.40 tff(391,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[390, 379])).
% 0.18/0.40 tff(392,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[391, 379])).
% 0.18/0.40 tff(393,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[392, 379])).
% 0.18/0.40 tff(394,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[393, 379])).
% 0.18/0.40 tff(395,plain,
% 0.18/0.40 (vertical_1_4 | horizontal_2_3 | horizontal_2_4 | vertical_2_4),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[394, 379])).
% 0.18/0.40 tff(396,plain,
% 0.18/0.40 (horizontal_2_3 | vertical_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[395, 378, 374])).
% 0.18/0.40 tff(397,plain,
% 0.18/0.40 (vertical_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[396, 103])).
% 0.18/0.40 tff(398,plain,
% 0.18/0.40 (~vertical_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[258, 2])).
% 0.18/0.40 tff(399,plain,
% 0.18/0.40 (~vertical_2_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[110, 99])).
% 0.18/0.40 tff(400,plain,
% 0.18/0.40 (horizontal_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[149, 399, 1, 398])).
% 0.18/0.40 tff(401,axiom,((~horizontal_3_3) | (~vertical_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_4')).
% 0.18/0.40 tff(402,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[401, 400, 397])).
% 0.18/0.40 tff(403,plain,((~horizontal_4_3) | horizontal_3_2), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(404,plain,
% 0.18/0.40 (~horizontal_4_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[403, 1])).
% 0.18/0.40 tff(405,assumption,(vertical_3_4), introduced(assumption)).
% 0.18/0.40 tff(406,plain,
% 0.18/0.40 (((~vertical_3_4) | (~vertical_2_4)) <=> ((~vertical_2_4) | (~vertical_3_4))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(407,axiom,((~vertical_3_4) | (~vertical_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_4')).
% 0.18/0.40 tff(408,plain,
% 0.18/0.40 ((~vertical_2_4) | (~vertical_3_4)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[407, 406])).
% 0.18/0.40 tff(409,plain,
% 0.18/0.40 (~vertical_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[408, 405])).
% 0.18/0.40 tff(410,plain,
% 0.18/0.40 (horizontal_2_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[396, 409])).
% 0.18/0.40 tff(411,plain,
% 0.18/0.40 (~horizontal_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[102, 410])).
% 0.18/0.40 tff(412,plain,
% 0.18/0.40 (~horizontal_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[178, 405])).
% 0.18/0.40 tff(413,plain,
% 0.18/0.40 (vertical_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[149, 412, 1, 120])).
% 0.18/0.40 tff(414,plain,
% 0.18/0.40 (~horizontal_4_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[231, 413])).
% 0.18/0.40 tff(415,plain,
% 0.18/0.40 (~vertical_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[73, 414])).
% 0.18/0.40 tff(416,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[98, 415, 411])).
% 0.18/0.40 tff(417,plain,((~vertical_3_4) | horizontal_3_2 | vertical_2_3), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(418,plain,
% 0.18/0.40 (~vertical_3_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[417, 120, 1])).
% 0.18/0.40 tff(419,assumption,(~horizontal_4_3), introduced(assumption)).
% 0.18/0.40 tff(420,plain,
% 0.18/0.40 (horizontal_4_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[196, 303, 419, 296])).
% 0.18/0.40 tff(421,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[256, 420, 300])).
% 0.18/0.40 tff(422,plain,((~horizontal_5_3) | horizontal_4_3 | vertical_3_4), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(423,plain,
% 0.18/0.40 (~horizontal_5_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[422, 418, 404])).
% 0.18/0.40 tff(424,plain,
% 0.18/0.40 (~vertical_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[73, 12])).
% 0.18/0.40 tff(425,plain,
% 0.18/0.40 (horizontal_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[98, 424])).
% 0.18/0.40 tff(426,plain,
% 0.18/0.40 (~horizontal_2_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[102, 425])).
% 0.18/0.40 tff(427,plain,
% 0.18/0.40 (vertical_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[396, 426])).
% 0.18/0.40 tff(428,assumption,(horizontal_5_2), introduced(assumption)).
% 0.18/0.40 tff(429,plain,
% 0.18/0.40 (~vertical_4_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[220, 428])).
% 0.18/0.40 tff(430,plain,
% 0.18/0.40 (~horizontal_5_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[225, 428])).
% 0.18/0.40 tff(431,plain,
% 0.18/0.40 (vertical_4_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[69, 430])).
% 0.18/0.40 tff(432,plain,
% 0.18/0.40 (~horizontal_4_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[228, 431])).
% 0.18/0.40 tff(433,plain,
% 0.18/0.40 (vertical_3_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[63, 432, 12, 429])).
% 0.18/0.40 tff(434,plain,
% 0.18/0.40 (~vertical_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[67, 431])).
% 0.18/0.40 tff(435,plain,
% 0.18/0.40 (horizontal_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[43, 434])).
% 0.18/0.40 tff(436,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[118, 435, 433])).
% 0.18/0.40 tff(437,plain,((~horizontal_5_2) | horizontal_4_2), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(438,plain,
% 0.18/0.40 (~horizontal_5_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[437, 12])).
% 0.18/0.40 tff(439,plain,
% 0.18/0.40 (vertical_4_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[218, 438, 423])).
% 0.18/0.40 tff(440,plain,
% 0.18/0.40 (~vertical_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[131, 439])).
% 0.18/0.40 tff(441,plain,
% 0.18/0.40 (horizontal_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[149, 440, 1, 120])).
% 0.18/0.40 tff(442,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[401, 441, 427])).
% 0.18/0.40 tff(443,plain,(horizontal_4_2 | horizontal_3_2 | vertical_2_3), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(444,plain,
% 0.18/0.40 (horizontal_4_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[443, 120, 1])).
% 0.18/0.40 tff(445,plain,
% 0.18/0.40 (~vertical_4_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[289, 444])).
% 0.18/0.40 tff(446,plain,
% 0.18/0.40 (horizontal_5_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[218, 445, 423])).
% 0.18/0.40 tff(447,plain,
% 0.18/0.40 (~horizontal_5_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[225, 446])).
% 0.18/0.40 tff(448,plain,
% 0.18/0.40 (vertical_4_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[69, 447])).
% 0.18/0.40 tff(449,plain,
% 0.18/0.40 (~vertical_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[67, 448])).
% 0.18/0.40 tff(450,plain,
% 0.18/0.40 (horizontal_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[43, 449])).
% 0.18/0.40 tff(451,plain,
% 0.18/0.40 (~vertical_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[231, 444])).
% 0.18/0.40 tff(452,plain,
% 0.18/0.40 (horizontal_3_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[149, 451, 1, 120])).
% 0.18/0.40 tff(453,plain,
% 0.18/0.40 (~vertical_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[401, 452])).
% 0.18/0.40 tff(454,plain,
% 0.18/0.40 (horizontal_2_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[396, 453])).
% 0.18/0.40 tff(455,plain,
% 0.18/0.40 (~horizontal_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[102, 454])).
% 0.18/0.40 tff(456,plain,
% 0.18/0.40 (vertical_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[98, 455])).
% 0.18/0.40 tff(457,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[13, 456, 450])).
% 0.18/0.40 tff(458,plain,(vertical_2_3 | horizontal_3_2), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(459,plain,
% 0.18/0.40 (vertical_2_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[458, 1])).
% 0.18/0.40 tff(460,axiom,((~horizontal_2_3) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_2_3')).
% 0.18/0.40 tff(461,plain,
% 0.18/0.40 (~horizontal_2_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[460, 459])).
% 0.18/0.40 tff(462,plain,
% 0.18/0.40 (vertical_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[396, 461])).
% 0.18/0.40 tff(463,plain,
% 0.18/0.40 (~vertical_3_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[408, 462])).
% 0.18/0.40 tff(464,plain,
% 0.18/0.40 (~horizontal_5_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[422, 463, 404])).
% 0.18/0.40 tff(465,plain,
% 0.18/0.40 (~horizontal_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[110, 459])).
% 0.18/0.40 tff(466,plain,
% 0.18/0.40 (vertical_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[98, 465])).
% 0.18/0.40 tff(467,plain,
% 0.18/0.40 (horizontal_4_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[73, 466])).
% 0.18/0.40 tff(468,plain,
% 0.18/0.40 (~vertical_4_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[289, 467])).
% 0.18/0.40 tff(469,plain,
% 0.18/0.40 (horizontal_5_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[218, 468, 464])).
% 0.18/0.40 tff(470,plain,
% 0.18/0.40 (~horizontal_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[13, 466])).
% 0.18/0.40 tff(471,plain,
% 0.18/0.40 (vertical_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[43, 470])).
% 0.18/0.40 tff(472,plain,
% 0.18/0.40 (~vertical_4_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[67, 471])).
% 0.18/0.40 tff(473,plain,
% 0.18/0.40 (horizontal_5_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[69, 472])).
% 0.18/0.40 tff(474,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[225, 473, 469])).
% 0.18/0.40 tff(475,plain,(horizontal_3_2), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(476,plain,
% 0.18/0.40 (~horizontal_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[114, 475])).
% 0.18/0.40 tff(477,plain,
% 0.18/0.40 (vertical_3_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[43, 476])).
% 0.18/0.40 tff(478,plain,
% 0.18/0.40 (~vertical_4_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[67, 477])).
% 0.18/0.40 tff(479,plain,
% 0.18/0.40 (horizontal_5_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[69, 478])).
% 0.18/0.40 tff(480,plain,
% 0.18/0.40 (~horizontal_5_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[225, 479])).
% 0.18/0.40 tff(481,plain,
% 0.18/0.40 (~horizontal_4_1),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[45, 477])).
% 0.18/0.40 tff(482,plain,
% 0.18/0.40 (~vertical_3_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[350, 475])).
% 0.18/0.40 tff(483,plain,
% 0.18/0.40 (~vertical_4_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[71, 479])).
% 0.18/0.40 tff(484,plain,
% 0.18/0.40 (horizontal_4_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[63, 483, 482, 481])).
% 0.18/0.40 tff(485,plain,
% 0.18/0.40 (~vertical_4_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[289, 484])).
% 0.18/0.40 tff(486,axiom,((~horizontal_3_2) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_2')).
% 0.18/0.40 tff(487,plain,
% 0.18/0.40 (~vertical_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[486, 475])).
% 0.18/0.40 tff(488,plain,
% 0.18/0.40 (horizontal_2_2),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[98, 487])).
% 0.18/0.40 tff(489,plain,
% 0.18/0.40 (~horizontal_2_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[102, 488])).
% 0.18/0.40 tff(490,plain,
% 0.18/0.40 (vertical_2_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[396, 489])).
% 0.18/0.40 tff(491,plain,
% 0.18/0.40 (~vertical_3_4),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[408, 490])).
% 0.18/0.40 tff(492,plain,
% 0.18/0.40 (~horizontal_4_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[5, 484])).
% 0.18/0.40 tff(493,plain,
% 0.18/0.40 (~horizontal_5_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[422, 492, 491])).
% 0.18/0.40 tff(494,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[218, 493, 485, 480])).
% 0.18/0.40 % SZS output end Proof
%------------------------------------------------------------------------------