%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n018.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 14:10:51 EDT 2022

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Sep  2 18:21:14 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35  Usage: tptp [options] [-file:]file
% 0.14/0.35    -h, -?       prints this message.
% 0.14/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.35    -m, -model   generate model.
% 0.14/0.35    -p, -proof   generate proof.
% 0.14/0.35    -c, -core    generate unsat core of named formulas.
% 0.14/0.35    -st, -statistics display statistics.
% 0.14/0.35    -t:timeout   set timeout (in second).
% 0.14/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35    -<param>:<value> configuration parameter and value.
% 0.14/0.35    -o:<output-file> file to place output in.
% 0.22/0.42  % SZS status Unsatisfiable
% 0.22/0.42  % SZS output start Proof
% 0.22/0.42  tff(vertical_3_1_type, type, (
% 0.22/0.42     vertical_3_1: $o)).
% 0.22/0.42  tff(vertical_2_1_type, type, (
% 0.22/0.42     vertical_2_1: $o)).
% 0.22/0.42  tff(horizontal_2_1_type, type, (
% 0.22/0.42     horizontal_2_1: $o)).
% 0.22/0.42  tff(horizontal_2_2_type, type, (
% 0.22/0.42     horizontal_2_2: $o)).
% 0.22/0.42  tff(vertical_2_3_type, type, (
% 0.22/0.42     vertical_2_3: $o)).
% 0.22/0.42  tff(horizontal_3_2_type, type, (
% 0.22/0.42     horizontal_3_2: $o)).
% 0.22/0.42  tff(vertical_3_2_type, type, (
% 0.22/0.42     vertical_3_2: $o)).
% 0.22/0.42  tff(vertical_4_2_type, type, (
% 0.22/0.42     vertical_4_2: $o)).
% 0.22/0.42  tff(horizontal_5_2_type, type, (
% 0.22/0.42     horizontal_5_2: $o)).
% 0.22/0.42  tff(horizontal_5_3_type, type, (
% 0.22/0.42     horizontal_5_3: $o)).
% 0.22/0.42  tff(horizontal_5_5_type, type, (
% 0.22/0.42     horizontal_5_5: $o)).
% 0.22/0.42  tff(vertical_4_6_type, type, (
% 0.22/0.42     vertical_4_6: $o)).
% 0.22/0.42  tff(vertical_3_6_type, type, (
% 0.22/0.42     vertical_3_6: $o)).
% 0.22/0.42  tff(vertical_2_6_type, type, (
% 0.22/0.42     vertical_2_6: $o)).
% 0.22/0.42  tff(vertical_1_6_type, type, (
% 0.22/0.42     vertical_1_6: $o)).
% 0.22/0.42  tff(horizontal_1_5_type, type, (
% 0.22/0.42     horizontal_1_5: $o)).
% 0.22/0.42  tff(horizontal_1_4_type, type, (
% 0.22/0.42     horizontal_1_4: $o)).
% 0.22/0.42  tff(vertical_1_4_type, type, (
% 0.22/0.42     vertical_1_4: $o)).
% 0.22/0.42  tff(horizontal_2_3_type, type, (
% 0.22/0.42     horizontal_2_3: $o)).
% 0.22/0.42  tff(horizontal_3_3_type, type, (
% 0.22/0.42     horizontal_3_3: $o)).
% 0.22/0.42  tff(vertical_1_5_type, type, (
% 0.22/0.42     vertical_1_5: $o)).
% 0.22/0.42  tff(horizontal_2_4_type, type, (
% 0.22/0.42     horizontal_2_4: $o)).
% 0.22/0.42  tff(vertical_2_4_type, type, (
% 0.22/0.42     vertical_2_4: $o)).
% 0.22/0.42  tff(vertical_3_4_type, type, (
% 0.22/0.42     vertical_3_4: $o)).
% 0.22/0.42  tff(horizontal_4_3_type, type, (
% 0.22/0.42     horizontal_4_3: $o)).
% 0.22/0.42  tff(horizontal_3_1_type, type, (
% 0.22/0.42     horizontal_3_1: $o)).
% 0.22/0.42  tff(horizontal_6_2_type, type, (
% 0.22/0.42     horizontal_6_2: $o)).
% 0.22/0.42  tff(vertical_5_3_type, type, (
% 0.22/0.42     vertical_5_3: $o)).
% 0.22/0.42  tff(vertical_2_2_type, type, (
% 0.22/0.42     vertical_2_2: $o)).
% 0.22/0.42  tff(vertical_4_3_type, type, (
% 0.22/0.42     vertical_4_3: $o)).
% 0.22/0.42  tff(horizontal_4_2_type, type, (
% 0.22/0.42     horizontal_4_2: $o)).
% 0.22/0.42  tff(vertical_4_1_type, type, (
% 0.22/0.42     vertical_4_1: $o)).
% 0.22/0.42  tff(horizontal_4_1_type, type, (
% 0.22/0.42     horizontal_4_1: $o)).
% 0.22/0.42  tff(vertical_3_3_type, type, (
% 0.22/0.42     vertical_3_3: $o)).
% 0.22/0.42  tff(horizontal_3_5_type, type, (
% 0.22/0.42     horizontal_3_5: $o)).
% 0.22/0.42  tff(vertical_3_5_type, type, (
% 0.22/0.42     vertical_3_5: $o)).
% 0.22/0.42  tff(vertical_5_5_type, type, (
% 0.22/0.42     vertical_5_5: $o)).
% 0.22/0.42  tff(horizontal_6_4_type, type, (
% 0.22/0.42     horizontal_6_4: $o)).
% 0.22/0.42  tff(horizontal_6_3_type, type, (
% 0.22/0.42     horizontal_6_3: $o)).
% 0.22/0.42  tff(vertical_5_2_type, type, (
% 0.22/0.42     vertical_5_2: $o)).
% 0.22/0.42  tff(horizontal_5_1_type, type, (
% 0.22/0.42     horizontal_5_1: $o)).
% 0.22/0.42  tff(vertical_5_1_type, type, (
% 0.22/0.42     vertical_5_1: $o)).
% 0.22/0.42  tff(horizontal_6_1_type, type, (
% 0.22/0.42     horizontal_6_1: $o)).
% 0.22/0.42  tff(horizontal_6_5_type, type, (
% 0.22/0.42     horizontal_6_5: $o)).
% 0.22/0.42  tff(vertical_5_4_type, type, (
% 0.22/0.42     vertical_5_4: $o)).
% 0.22/0.42  tff(vertical_4_5_type, type, (
% 0.22/0.42     vertical_4_5: $o)).
% 0.22/0.42  tff(horizontal_4_5_type, type, (
% 0.22/0.42     horizontal_4_5: $o)).
% 0.22/0.42  tff(vertical_5_6_type, type, (
% 0.22/0.42     vertical_5_6: $o)).
% 0.22/0.42  tff(horizontal_4_4_type, type, (
% 0.22/0.42     horizontal_4_4: $o)).
% 0.22/0.42  tff(vertical_4_4_type, type, (
% 0.22/0.42     vertical_4_4: $o)).
% 0.22/0.42  tff(horizontal_5_4_type, type, (
% 0.22/0.42     horizontal_5_4: $o)).
% 0.22/0.42  tff(vertical_2_5_type, type, (
% 0.22/0.42     vertical_2_5: $o)).
% 0.22/0.42  tff(horizontal_2_5_type, type, (
% 0.22/0.42     horizontal_2_5: $o)).
% 0.22/0.42  tff(horizontal_3_4_type, type, (
% 0.22/0.42     horizontal_3_4: $o)).
% 0.22/0.42  tff(vertical_1_1_type, type, (
% 0.22/0.42     vertical_1_1: $o)).
% 0.22/0.42  tff(vertical_1_3_type, type, (
% 0.22/0.42     vertical_1_3: $o)).
% 0.22/0.42  tff(horizontal_1_2_type, type, (
% 0.22/0.42     horizontal_1_2: $o)).
% 0.22/0.42  tff(vertical_1_2_type, type, (
% 0.22/0.42     vertical_1_2: $o)).
% 0.22/0.42  tff(horizontal_1_3_type, type, (
% 0.22/0.42     horizontal_1_3: $o)).
% 0.22/0.42  tff(horizontal_1_1_type, type, (
% 0.22/0.42     horizontal_1_1: $o)).
% 0.22/0.42  tff(1,assumption,(~horizontal_2_2), introduced(assumption)).
% 0.22/0.42  tff(2,assumption,(~horizontal_5_3), introduced(assumption)).
% 0.22/0.42  tff(3,assumption,(~horizontal_4_3), introduced(assumption)).
% 0.22/0.42  tff(4,assumption,(~vertical_3_1), introduced(assumption)).
% 0.22/0.42  tff(5,assumption,(~horizontal_5_2), introduced(assumption)).
% 0.22/0.42  tff(6,assumption,(~vertical_2_2), introduced(assumption)).
% 0.22/0.42  tff(7,assumption,(horizontal_4_1), introduced(assumption)).
% 0.22/0.42  tff(8,plain,
% 0.22/0.42      (((~horizontal_4_2) | (~horizontal_4_1)) <=> ((~horizontal_4_1) | (~horizontal_4_2))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(9,axiom,((~horizontal_4_2) | (~horizontal_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_4_2')).
% 0.22/0.42  tff(10,plain,
% 0.22/0.42      ((~horizontal_4_1) | (~horizontal_4_2)),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[9, 8])).
% 0.22/0.42  tff(11,plain,
% 0.22/0.42      (~horizontal_4_2),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[10, 7])).
% 0.22/0.42  tff(12,assumption,(~horizontal_4_2), introduced(assumption)).
% 0.22/0.42  tff(13,assumption,(~horizontal_3_3), introduced(assumption)).
% 0.22/0.42  tff(14,assumption,(vertical_4_3), introduced(assumption)).
% 0.22/0.42  tff(15,axiom,((~horizontal_5_2) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_3')).
% 0.22/0.42  tff(16,plain,
% 0.22/0.42      (~horizontal_5_2),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[15, 14])).
% 0.22/0.42  tff(17,assumption,(~horizontal_6_3), introduced(assumption)).
% 0.22/0.42  tff(18,plain,
% 0.22/0.42      (((~vertical_5_3) | (~vertical_4_3)) <=> ((~vertical_4_3) | (~vertical_5_3))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(19,axiom,((~vertical_5_3) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_5_3')).
% 0.22/0.42  tff(20,plain,
% 0.22/0.42      ((~vertical_4_3) | (~vertical_5_3)),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[19, 18])).
% 0.22/0.42  tff(21,plain,
% 0.22/0.42      (~vertical_5_3),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[20, 14])).
% 0.22/0.42  tff(22,plain,
% 0.22/0.42      ((vertical_5_3 | horizontal_6_2 | horizontal_6_3) <=> (vertical_5_3 | horizontal_6_2 | horizontal_6_3)),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(23,plain,
% 0.22/0.42      (((horizontal_6_2 | horizontal_6_3) | vertical_5_3) <=> (vertical_5_3 | horizontal_6_2 | horizontal_6_3)),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(24,plain,
% 0.22/0.42      ((horizontal_6_3 | horizontal_6_2) <=> (horizontal_6_2 | horizontal_6_3)),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(25,plain,
% 0.22/0.42      (((horizontal_6_3 | horizontal_6_2) | vertical_5_3) <=> ((horizontal_6_2 | horizontal_6_3) | vertical_5_3)),
% 0.22/0.42      inference(monotonicity,[status(thm)],[24])).
% 0.22/0.42  tff(26,plain,
% 0.22/0.42      (((horizontal_6_3 | horizontal_6_2) | vertical_5_3) <=> (vertical_5_3 | horizontal_6_2 | horizontal_6_3)),
% 0.22/0.42      inference(transitivity,[status(thm)],[25, 23])).
% 0.22/0.42  tff(27,axiom,((horizontal_6_3 | horizontal_6_2) | vertical_5_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_6_3')).
% 0.22/0.42  tff(28,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[27, 26])).
% 0.22/0.42  tff(29,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[28, 22])).
% 0.22/0.42  tff(30,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[29, 22])).
% 0.22/0.42  tff(31,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[30, 22])).
% 0.22/0.42  tff(32,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[31, 22])).
% 0.22/0.42  tff(33,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[32, 22])).
% 0.22/0.42  tff(34,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[33, 22])).
% 0.22/0.42  tff(35,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[34, 22])).
% 0.22/0.42  tff(36,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[35, 22])).
% 0.22/0.42  tff(37,plain,
% 0.22/0.42      (vertical_5_3 | horizontal_6_2 | horizontal_6_3),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[36, 22])).
% 0.22/0.42  tff(38,plain,
% 0.22/0.42      (horizontal_6_2),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[37, 21, 17])).
% 0.22/0.42  tff(39,assumption,(horizontal_6_2), introduced(assumption)).
% 0.22/0.42  tff(40,axiom,((~horizontal_6_2) | (~vertical_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_6_2')).
% 0.22/0.42  tff(41,plain,
% 0.22/0.42      (~vertical_5_2),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[40, 39])).
% 0.22/0.42  tff(42,plain,
% 0.22/0.42      (((~horizontal_6_2) | (~horizontal_6_1)) <=> ((~horizontal_6_1) | (~horizontal_6_2))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(43,axiom,((~horizontal_6_2) | (~horizontal_6_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_6_2')).
% 0.22/0.42  tff(44,plain,
% 0.22/0.42      ((~horizontal_6_1) | (~horizontal_6_2)),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[43, 42])).
% 0.22/0.42  tff(45,plain,
% 0.22/0.42      (~horizontal_6_1),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[44, 39])).
% 0.22/0.42  tff(46,axiom,(horizontal_6_1 | vertical_5_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_6_1')).
% 0.22/0.42  tff(47,plain,
% 0.22/0.42      (vertical_5_1),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[46, 45])).
% 0.22/0.42  tff(48,axiom,((~horizontal_5_1) | (~vertical_5_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_5_1')).
% 0.22/0.42  tff(49,plain,
% 0.22/0.42      (~horizontal_5_1),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[48, 47])).
% 0.22/0.42  tff(50,plain,
% 0.22/0.42      ((vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2) <=> (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(51,plain,
% 0.22/0.42      (((horizontal_5_1 | horizontal_5_2 | vertical_5_2) | vertical_4_2) <=> (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(52,plain,
% 0.22/0.42      (((horizontal_5_2 | vertical_5_2) | horizontal_5_1) <=> (horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(53,plain,
% 0.22/0.43      ((((horizontal_5_2 | vertical_5_2) | horizontal_5_1) | vertical_4_2) <=> ((horizontal_5_1 | horizontal_5_2 | vertical_5_2) | vertical_4_2)),
% 0.22/0.43      inference(monotonicity,[status(thm)],[52])).
% 0.22/0.43  tff(54,plain,
% 0.22/0.43      ((((horizontal_5_2 | vertical_5_2) | horizontal_5_1) | vertical_4_2) <=> (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2)),
% 0.22/0.43      inference(transitivity,[status(thm)],[53, 51])).
% 0.22/0.43  tff(55,axiom,(((horizontal_5_2 | vertical_5_2) | horizontal_5_1) | vertical_4_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_2')).
% 0.22/0.43  tff(56,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[55, 54])).
% 0.22/0.43  tff(57,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[56, 50])).
% 0.22/0.43  tff(58,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[57, 50])).
% 0.22/0.43  tff(59,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[58, 50])).
% 0.22/0.43  tff(60,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[59, 50])).
% 0.22/0.43  tff(61,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[60, 50])).
% 0.22/0.43  tff(62,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[61, 50])).
% 0.22/0.43  tff(63,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[62, 50])).
% 0.22/0.43  tff(64,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[63, 50])).
% 0.22/0.43  tff(65,plain,
% 0.22/0.43      (vertical_4_2 | horizontal_5_1 | horizontal_5_2 | vertical_5_2),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[64, 50])).
% 0.22/0.43  tff(66,plain,
% 0.22/0.43      (vertical_4_2),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[65, 49, 5, 41])).
% 0.22/0.43  tff(67,plain,
% 0.22/0.43      (((~vertical_5_1) | (~vertical_4_1)) <=> ((~vertical_4_1) | (~vertical_5_1))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(68,axiom,((~vertical_5_1) | (~vertical_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_5_1')).
% 0.22/0.43  tff(69,plain,
% 0.22/0.43      ((~vertical_4_1) | (~vertical_5_1)),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[68, 67])).
% 0.22/0.43  tff(70,plain,
% 0.22/0.43      (~vertical_4_1),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[69, 47])).
% 0.22/0.43  tff(71,plain,
% 0.22/0.43      ((vertical_3_1 | horizontal_4_1 | vertical_4_1) <=> (vertical_3_1 | horizontal_4_1 | vertical_4_1)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(72,plain,
% 0.22/0.43      (((horizontal_4_1 | vertical_4_1) | vertical_3_1) <=> (vertical_3_1 | horizontal_4_1 | vertical_4_1)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(73,axiom,((horizontal_4_1 | vertical_4_1) | vertical_3_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_1')).
% 0.22/0.43  tff(74,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[73, 72])).
% 0.22/0.43  tff(75,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[74, 71])).
% 0.22/0.43  tff(76,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[75, 71])).
% 0.22/0.43  tff(77,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[76, 71])).
% 0.22/0.43  tff(78,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[77, 71])).
% 0.22/0.43  tff(79,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[78, 71])).
% 0.22/0.43  tff(80,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[79, 71])).
% 0.22/0.43  tff(81,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[80, 71])).
% 0.22/0.43  tff(82,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[81, 71])).
% 0.22/0.43  tff(83,plain,
% 0.22/0.43      (vertical_3_1 | horizontal_4_1 | vertical_4_1),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[82, 71])).
% 0.22/0.43  tff(84,plain,
% 0.22/0.43      (horizontal_4_1),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[83, 70, 4])).
% 0.22/0.43  tff(85,plain,
% 0.22/0.43      (((~vertical_4_2) | (~horizontal_4_1)) <=> ((~horizontal_4_1) | (~vertical_4_2))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(86,axiom,((~vertical_4_2) | (~horizontal_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_2')).
% 0.22/0.43  tff(87,plain,
% 0.22/0.43      ((~horizontal_4_1) | (~vertical_4_2)),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[86, 85])).
% 0.22/0.43  tff(88,plain,
% 0.22/0.43      ($false),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[87, 84, 66])).
% 0.22/0.43  tff(89,plain,((~horizontal_6_2) | vertical_3_1 | horizontal_5_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.43  tff(90,plain,
% 0.22/0.43      ($false),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[89, 38, 16, 4])).
% 0.22/0.43  tff(91,plain,((~vertical_4_3) | vertical_3_1 | horizontal_6_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.43  tff(92,plain,
% 0.22/0.43      (horizontal_6_3),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[91, 14, 4])).
% 0.22/0.43  tff(93,plain,
% 0.22/0.43      (((~horizontal_6_4) | (~horizontal_6_3)) <=> ((~horizontal_6_3) | (~horizontal_6_4))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(94,axiom,((~horizontal_6_4) | (~horizontal_6_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_6_4')).
% 0.22/0.43  tff(95,plain,
% 0.22/0.43      ((~horizontal_6_3) | (~horizontal_6_4)),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[94, 93])).
% 0.22/0.43  tff(96,plain,
% 0.22/0.43      (~horizontal_6_4),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[95, 92])).
% 0.22/0.43  tff(97,plain,
% 0.22/0.43      ((vertical_5_5 | horizontal_6_4) <=> (vertical_5_5 | horizontal_6_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(98,plain,
% 0.22/0.43      (($false | vertical_5_5 | horizontal_6_4) <=> (vertical_5_5 | horizontal_6_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(99,axiom,(~horizontal_6_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered3_6_6')).
% 0.22/0.43  tff(100,plain,
% 0.22/0.43      (horizontal_6_5 <=> $false),
% 0.22/0.43      inference(iff_false,[status(thm)],[99])).
% 0.22/0.43  tff(101,plain,
% 0.22/0.43      ((horizontal_6_5 | vertical_5_5 | horizontal_6_4) <=> ($false | vertical_5_5 | horizontal_6_4)),
% 0.22/0.43      inference(monotonicity,[status(thm)],[100])).
% 0.22/0.43  tff(102,plain,
% 0.22/0.43      ((horizontal_6_5 | vertical_5_5 | horizontal_6_4) <=> (vertical_5_5 | horizontal_6_4)),
% 0.22/0.43      inference(transitivity,[status(thm)],[101, 98])).
% 0.22/0.43  tff(103,plain,
% 0.22/0.43      ((horizontal_6_5 | vertical_5_5 | horizontal_6_4) <=> (horizontal_6_5 | vertical_5_5 | horizontal_6_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(104,plain,
% 0.22/0.43      (((horizontal_6_5 | horizontal_6_4) | vertical_5_5) <=> (horizontal_6_5 | vertical_5_5 | horizontal_6_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(105,plain,
% 0.22/0.43      ((horizontal_6_5 | horizontal_6_4) <=> (horizontal_6_5 | horizontal_6_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(106,plain,
% 0.22/0.43      (((horizontal_6_5 | horizontal_6_4) | vertical_5_5) <=> ((horizontal_6_5 | horizontal_6_4) | vertical_5_5)),
% 0.22/0.43      inference(monotonicity,[status(thm)],[105])).
% 0.22/0.43  tff(107,plain,
% 0.22/0.43      (((horizontal_6_5 | horizontal_6_4) | vertical_5_5) <=> (horizontal_6_5 | vertical_5_5 | horizontal_6_4)),
% 0.22/0.43      inference(transitivity,[status(thm)],[106, 104])).
% 0.22/0.43  tff(108,axiom,((horizontal_6_5 | horizontal_6_4) | vertical_5_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_6_5')).
% 0.22/0.43  tff(109,plain,
% 0.22/0.43      (horizontal_6_5 | vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[108, 107])).
% 0.22/0.43  tff(110,plain,
% 0.22/0.43      (horizontal_6_5 | vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[109, 103])).
% 0.22/0.43  tff(111,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[110, 102])).
% 0.22/0.43  tff(112,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[111, 97])).
% 0.22/0.43  tff(113,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[112, 97])).
% 0.22/0.43  tff(114,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[113, 97])).
% 0.22/0.43  tff(115,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[114, 97])).
% 0.22/0.43  tff(116,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[115, 97])).
% 0.22/0.43  tff(117,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[116, 97])).
% 0.22/0.43  tff(118,plain,
% 0.22/0.43      (vertical_5_5 | horizontal_6_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[117, 97])).
% 0.22/0.43  tff(119,plain,
% 0.22/0.43      (vertical_5_5),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[118, 96])).
% 0.22/0.43  tff(120,axiom,((~horizontal_5_3) | (~vertical_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_3')).
% 0.22/0.43  tff(121,plain,
% 0.22/0.43      (~horizontal_5_3),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[120, 14])).
% 0.22/0.43  tff(122,axiom,((~horizontal_6_3) | (~vertical_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_6_4')).
% 0.22/0.43  tff(123,plain,
% 0.22/0.43      (~vertical_5_4),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[122, 92])).
% 0.22/0.43  tff(124,assumption,(vertical_5_5), introduced(assumption)).
% 0.22/0.43  tff(125,plain,
% 0.22/0.43      (((~vertical_5_5) | (~vertical_4_5)) <=> ((~vertical_4_5) | (~vertical_5_5))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(126,axiom,((~vertical_5_5) | (~vertical_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_5_5')).
% 0.22/0.43  tff(127,plain,
% 0.22/0.43      ((~vertical_4_5) | (~vertical_5_5)),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[126, 125])).
% 0.22/0.43  tff(128,plain,
% 0.22/0.43      (~vertical_4_5),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[127, 124])).
% 0.22/0.43  tff(129,assumption,(~vertical_3_5), introduced(assumption)).
% 0.22/0.43  tff(130,axiom,((~horizontal_5_5) | (~vertical_5_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_5_5')).
% 0.22/0.43  tff(131,plain,
% 0.22/0.43      (~horizontal_5_5),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[130, 124])).
% 0.22/0.43  tff(132,plain,
% 0.22/0.43      ((vertical_4_6 | horizontal_5_5) <=> (vertical_4_6 | horizontal_5_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(133,plain,
% 0.22/0.43      (($false | vertical_4_6 | horizontal_5_5) <=> (vertical_4_6 | horizontal_5_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(134,axiom,(~vertical_5_6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered4_6_6')).
% 0.22/0.43  tff(135,plain,
% 0.22/0.43      (vertical_5_6 <=> $false),
% 0.22/0.43      inference(iff_false,[status(thm)],[134])).
% 0.22/0.43  tff(136,plain,
% 0.22/0.43      ((vertical_5_6 | vertical_4_6 | horizontal_5_5) <=> ($false | vertical_4_6 | horizontal_5_5)),
% 0.22/0.43      inference(monotonicity,[status(thm)],[135])).
% 0.22/0.43  tff(137,plain,
% 0.22/0.43      ((vertical_5_6 | vertical_4_6 | horizontal_5_5) <=> (vertical_4_6 | horizontal_5_5)),
% 0.22/0.43      inference(transitivity,[status(thm)],[136, 133])).
% 0.22/0.43  tff(138,plain,
% 0.22/0.43      ((vertical_5_6 | vertical_4_6 | horizontal_5_5) <=> (vertical_5_6 | vertical_4_6 | horizontal_5_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(139,plain,
% 0.22/0.43      (((vertical_5_6 | horizontal_5_5) | vertical_4_6) <=> (vertical_5_6 | vertical_4_6 | horizontal_5_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(140,plain,
% 0.22/0.43      ((vertical_5_6 | horizontal_5_5) <=> (vertical_5_6 | horizontal_5_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(141,plain,
% 0.22/0.43      (((vertical_5_6 | horizontal_5_5) | vertical_4_6) <=> ((vertical_5_6 | horizontal_5_5) | vertical_4_6)),
% 0.22/0.43      inference(monotonicity,[status(thm)],[140])).
% 0.22/0.43  tff(142,plain,
% 0.22/0.43      (((vertical_5_6 | horizontal_5_5) | vertical_4_6) <=> (vertical_5_6 | vertical_4_6 | horizontal_5_5)),
% 0.22/0.43      inference(transitivity,[status(thm)],[141, 139])).
% 0.22/0.43  tff(143,axiom,((vertical_5_6 | horizontal_5_5) | vertical_4_6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_6')).
% 0.22/0.43  tff(144,plain,
% 0.22/0.43      (vertical_5_6 | vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[143, 142])).
% 0.22/0.43  tff(145,plain,
% 0.22/0.43      (vertical_5_6 | vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[144, 138])).
% 0.22/0.43  tff(146,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[145, 137])).
% 0.22/0.43  tff(147,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[146, 132])).
% 0.22/0.43  tff(148,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[147, 132])).
% 0.22/0.43  tff(149,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[148, 132])).
% 0.22/0.43  tff(150,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[149, 132])).
% 0.22/0.43  tff(151,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[150, 132])).
% 0.22/0.43  tff(152,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[151, 132])).
% 0.22/0.43  tff(153,plain,
% 0.22/0.43      (vertical_4_6 | horizontal_5_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[152, 132])).
% 0.22/0.43  tff(154,plain,
% 0.22/0.43      (vertical_4_6),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[153, 131])).
% 0.22/0.43  tff(155,plain,
% 0.22/0.43      (((~vertical_4_6) | (~horizontal_4_5)) <=> ((~horizontal_4_5) | (~vertical_4_6))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(156,axiom,((~vertical_4_6) | (~horizontal_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_6')).
% 0.22/0.43  tff(157,plain,
% 0.22/0.43      ((~horizontal_4_5) | (~vertical_4_6)),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[156, 155])).
% 0.22/0.43  tff(158,plain,
% 0.22/0.43      (~horizontal_4_5),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[157, 154])).
% 0.22/0.43  tff(159,assumption,(~vertical_5_4), introduced(assumption)).
% 0.22/0.43  tff(160,plain,
% 0.22/0.43      (((~vertical_5_5) | (~horizontal_5_4)) <=> ((~horizontal_5_4) | (~vertical_5_5))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(161,axiom,((~vertical_5_5) | (~horizontal_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_5_5')).
% 0.22/0.43  tff(162,plain,
% 0.22/0.43      ((~horizontal_5_4) | (~vertical_5_5)),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[161, 160])).
% 0.22/0.43  tff(163,plain,
% 0.22/0.43      (~horizontal_5_4),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[162, 124])).
% 0.22/0.43  tff(164,plain,
% 0.22/0.43      ((vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4) <=> (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(165,plain,
% 0.22/0.43      (((horizontal_5_3 | horizontal_5_4 | vertical_5_4) | vertical_4_4) <=> (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(166,plain,
% 0.22/0.43      (((horizontal_5_4 | vertical_5_4) | horizontal_5_3) <=> (horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(167,plain,
% 0.22/0.43      ((((horizontal_5_4 | vertical_5_4) | horizontal_5_3) | vertical_4_4) <=> ((horizontal_5_3 | horizontal_5_4 | vertical_5_4) | vertical_4_4)),
% 0.22/0.43      inference(monotonicity,[status(thm)],[166])).
% 0.22/0.43  tff(168,plain,
% 0.22/0.43      ((((horizontal_5_4 | vertical_5_4) | horizontal_5_3) | vertical_4_4) <=> (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4)),
% 0.22/0.43      inference(transitivity,[status(thm)],[167, 165])).
% 0.22/0.43  tff(169,axiom,(((horizontal_5_4 | vertical_5_4) | horizontal_5_3) | vertical_4_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_5_4')).
% 0.22/0.43  tff(170,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[169, 168])).
% 0.22/0.43  tff(171,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[170, 164])).
% 0.22/0.43  tff(172,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[171, 164])).
% 0.22/0.43  tff(173,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[172, 164])).
% 0.22/0.43  tff(174,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[173, 164])).
% 0.22/0.43  tff(175,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[174, 164])).
% 0.22/0.43  tff(176,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[175, 164])).
% 0.22/0.43  tff(177,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[176, 164])).
% 0.22/0.43  tff(178,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[177, 164])).
% 0.22/0.43  tff(179,plain,
% 0.22/0.43      (vertical_4_4 | horizontal_5_3 | horizontal_5_4 | vertical_5_4),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[178, 164])).
% 0.22/0.43  tff(180,plain,
% 0.22/0.43      (vertical_4_4),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[179, 163, 2, 159])).
% 0.22/0.43  tff(181,axiom,((~horizontal_4_4) | (~vertical_4_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_4')).
% 0.22/0.43  tff(182,plain,
% 0.22/0.43      (~horizontal_4_4),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[181, 180])).
% 0.22/0.43  tff(183,plain,
% 0.22/0.43      ((vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5) <=> (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(184,plain,
% 0.22/0.43      (((horizontal_4_4 | horizontal_4_5 | vertical_4_5) | vertical_3_5) <=> (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(185,plain,
% 0.22/0.43      (((horizontal_4_5 | vertical_4_5) | horizontal_4_4) <=> (horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(186,plain,
% 0.22/0.43      ((((horizontal_4_5 | vertical_4_5) | horizontal_4_4) | vertical_3_5) <=> ((horizontal_4_4 | horizontal_4_5 | vertical_4_5) | vertical_3_5)),
% 0.22/0.43      inference(monotonicity,[status(thm)],[185])).
% 0.22/0.43  tff(187,plain,
% 0.22/0.43      ((((horizontal_4_5 | vertical_4_5) | horizontal_4_4) | vertical_3_5) <=> (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5)),
% 0.22/0.43      inference(transitivity,[status(thm)],[186, 184])).
% 0.22/0.43  tff(188,axiom,(((horizontal_4_5 | vertical_4_5) | horizontal_4_4) | vertical_3_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_5')).
% 0.22/0.43  tff(189,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[188, 187])).
% 0.22/0.43  tff(190,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[189, 183])).
% 0.22/0.43  tff(191,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[190, 183])).
% 0.22/0.43  tff(192,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[191, 183])).
% 0.22/0.43  tff(193,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[192, 183])).
% 0.22/0.43  tff(194,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[193, 183])).
% 0.22/0.43  tff(195,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[194, 183])).
% 0.22/0.43  tff(196,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[195, 183])).
% 0.22/0.43  tff(197,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[196, 183])).
% 0.22/0.43  tff(198,plain,
% 0.22/0.43      (vertical_3_5 | horizontal_4_4 | horizontal_4_5 | vertical_4_5),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[197, 183])).
% 0.22/0.43  tff(199,plain,
% 0.22/0.43      ($false),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[198, 182, 158, 129, 128])).
% 0.22/0.43  tff(200,plain,((~vertical_5_5) | vertical_3_5 | horizontal_5_3 | vertical_5_4), inference(lemma,lemma(discharge,[]))).
% 0.22/0.44  tff(201,plain,
% 0.22/0.44      (vertical_3_5),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[200, 123, 121, 119])).
% 0.22/0.44  tff(202,axiom,((~horizontal_3_5) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_5')).
% 0.22/0.44  tff(203,plain,
% 0.22/0.44      (~horizontal_3_5),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[202, 201])).
% 0.22/0.44  tff(204,plain,
% 0.22/0.44      (~horizontal_5_5),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[130, 119])).
% 0.22/0.44  tff(205,plain,
% 0.22/0.44      (vertical_4_6),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[153, 204])).
% 0.22/0.44  tff(206,plain,
% 0.22/0.44      (((~vertical_4_6) | (~vertical_3_6)) <=> ((~vertical_3_6) | (~vertical_4_6))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(207,axiom,((~vertical_4_6) | (~vertical_3_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_6')).
% 0.22/0.44  tff(208,plain,
% 0.22/0.44      ((~vertical_3_6) | (~vertical_4_6)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[207, 206])).
% 0.22/0.44  tff(209,plain,
% 0.22/0.44      (~vertical_3_6),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[208, 205])).
% 0.22/0.44  tff(210,plain,
% 0.22/0.44      ((vertical_2_6 | horizontal_3_5 | vertical_3_6) <=> (vertical_2_6 | horizontal_3_5 | vertical_3_6)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(211,plain,
% 0.22/0.44      (((horizontal_3_5 | vertical_3_6) | vertical_2_6) <=> (vertical_2_6 | horizontal_3_5 | vertical_3_6)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(212,plain,
% 0.22/0.44      ((vertical_3_6 | horizontal_3_5) <=> (horizontal_3_5 | vertical_3_6)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(213,plain,
% 0.22/0.44      (((vertical_3_6 | horizontal_3_5) | vertical_2_6) <=> ((horizontal_3_5 | vertical_3_6) | vertical_2_6)),
% 0.22/0.44      inference(monotonicity,[status(thm)],[212])).
% 0.22/0.44  tff(214,plain,
% 0.22/0.44      (((vertical_3_6 | horizontal_3_5) | vertical_2_6) <=> (vertical_2_6 | horizontal_3_5 | vertical_3_6)),
% 0.22/0.44      inference(transitivity,[status(thm)],[213, 211])).
% 0.22/0.44  tff(215,axiom,((vertical_3_6 | horizontal_3_5) | vertical_2_6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_6')).
% 0.22/0.44  tff(216,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[215, 214])).
% 0.22/0.44  tff(217,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[216, 210])).
% 0.22/0.44  tff(218,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[217, 210])).
% 0.22/0.44  tff(219,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[218, 210])).
% 0.22/0.44  tff(220,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[219, 210])).
% 0.22/0.44  tff(221,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[220, 210])).
% 0.22/0.44  tff(222,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[221, 210])).
% 0.22/0.44  tff(223,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[222, 210])).
% 0.22/0.44  tff(224,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[223, 210])).
% 0.22/0.44  tff(225,plain,
% 0.22/0.44      (vertical_2_6 | horizontal_3_5 | vertical_3_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[224, 210])).
% 0.22/0.44  tff(226,plain,
% 0.22/0.44      (vertical_2_6),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[225, 209, 203])).
% 0.22/0.44  tff(227,plain,
% 0.22/0.44      (((~vertical_2_6) | (~vertical_1_6)) <=> ((~vertical_1_6) | (~vertical_2_6))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(228,axiom,((~vertical_2_6) | (~vertical_1_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_6')).
% 0.22/0.44  tff(229,plain,
% 0.22/0.44      ((~vertical_1_6) | (~vertical_2_6)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[228, 227])).
% 0.22/0.44  tff(230,plain,
% 0.22/0.44      (~vertical_1_6),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[229, 226])).
% 0.22/0.44  tff(231,plain,
% 0.22/0.44      ((vertical_1_6 | horizontal_1_5) <=> (horizontal_1_5 | vertical_1_6)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(232,axiom,(vertical_1_6 | horizontal_1_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_6')).
% 0.22/0.44  tff(233,plain,
% 0.22/0.44      (horizontal_1_5 | vertical_1_6),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[232, 231])).
% 0.22/0.44  tff(234,plain,
% 0.22/0.44      (horizontal_1_5),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[233, 230])).
% 0.22/0.44  tff(235,plain,
% 0.22/0.44      (((~vertical_3_5) | (~vertical_2_5)) <=> ((~vertical_2_5) | (~vertical_3_5))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(236,axiom,((~vertical_3_5) | (~vertical_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_5')).
% 0.22/0.44  tff(237,plain,
% 0.22/0.44      ((~vertical_2_5) | (~vertical_3_5)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[236, 235])).
% 0.22/0.44  tff(238,plain,
% 0.22/0.44      (~vertical_2_5),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[237, 201])).
% 0.22/0.44  tff(239,plain,
% 0.22/0.44      (((~vertical_2_6) | (~horizontal_2_5)) <=> ((~horizontal_2_5) | (~vertical_2_6))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(240,axiom,((~vertical_2_6) | (~horizontal_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_6')).
% 0.22/0.44  tff(241,plain,
% 0.22/0.44      ((~horizontal_2_5) | (~vertical_2_6)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[240, 239])).
% 0.22/0.44  tff(242,plain,
% 0.22/0.44      (~horizontal_2_5),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[241, 226])).
% 0.22/0.44  tff(243,plain,
% 0.22/0.44      (((~vertical_3_5) | (~horizontal_3_4)) <=> ((~horizontal_3_4) | (~vertical_3_5))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(244,axiom,((~vertical_3_5) | (~horizontal_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_5')).
% 0.22/0.44  tff(245,plain,
% 0.22/0.44      ((~horizontal_3_4) | (~vertical_3_5)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[244, 243])).
% 0.22/0.44  tff(246,plain,
% 0.22/0.44      (~horizontal_3_4),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[245, 201])).
% 0.22/0.44  tff(247,plain,
% 0.22/0.44      (~horizontal_5_4),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[162, 119])).
% 0.22/0.44  tff(248,plain,
% 0.22/0.44      (vertical_4_4),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[179, 247, 121, 123])).
% 0.22/0.44  tff(249,plain,
% 0.22/0.44      (((~vertical_4_4) | (~vertical_3_4)) <=> ((~vertical_3_4) | (~vertical_4_4))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(250,axiom,((~vertical_4_4) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_4')).
% 0.22/0.44  tff(251,plain,
% 0.22/0.44      ((~vertical_3_4) | (~vertical_4_4)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[250, 249])).
% 0.22/0.44  tff(252,plain,
% 0.22/0.44      (~vertical_3_4),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[251, 248])).
% 0.22/0.44  tff(253,plain,
% 0.22/0.44      ((vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4) <=> (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(254,plain,
% 0.22/0.44      (((horizontal_3_3 | horizontal_3_4 | vertical_3_4) | vertical_2_4) <=> (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(255,plain,
% 0.22/0.44      (((horizontal_3_4 | vertical_3_4) | horizontal_3_3) <=> (horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(256,plain,
% 0.22/0.44      ((((horizontal_3_4 | vertical_3_4) | horizontal_3_3) | vertical_2_4) <=> ((horizontal_3_3 | horizontal_3_4 | vertical_3_4) | vertical_2_4)),
% 0.22/0.44      inference(monotonicity,[status(thm)],[255])).
% 0.22/0.44  tff(257,plain,
% 0.22/0.44      ((((horizontal_3_4 | vertical_3_4) | horizontal_3_3) | vertical_2_4) <=> (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4)),
% 0.22/0.44      inference(transitivity,[status(thm)],[256, 254])).
% 0.22/0.44  tff(258,axiom,(((horizontal_3_4 | vertical_3_4) | horizontal_3_3) | vertical_2_4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_4')).
% 0.22/0.44  tff(259,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[258, 257])).
% 0.22/0.44  tff(260,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[259, 253])).
% 0.22/0.44  tff(261,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[260, 253])).
% 0.22/0.44  tff(262,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[261, 253])).
% 0.22/0.44  tff(263,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[262, 253])).
% 0.22/0.44  tff(264,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[263, 253])).
% 0.22/0.44  tff(265,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[264, 253])).
% 0.22/0.44  tff(266,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[265, 253])).
% 0.22/0.44  tff(267,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[266, 253])).
% 0.22/0.44  tff(268,plain,
% 0.22/0.44      (vertical_2_4 | horizontal_3_3 | horizontal_3_4 | vertical_3_4),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[267, 253])).
% 0.22/0.44  tff(269,plain,
% 0.22/0.44      (vertical_2_4),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[268, 252, 13, 246])).
% 0.22/0.44  tff(270,axiom,((~horizontal_2_4) | (~vertical_2_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_2_4')).
% 0.22/0.44  tff(271,plain,
% 0.22/0.44      (~horizontal_2_4),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[270, 269])).
% 0.22/0.44  tff(272,plain,
% 0.22/0.44      ((vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5) <=> (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(273,plain,
% 0.22/0.44      (((horizontal_2_4 | horizontal_2_5 | vertical_2_5) | vertical_1_5) <=> (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(274,plain,
% 0.22/0.44      (((horizontal_2_5 | vertical_2_5) | horizontal_2_4) <=> (horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(275,plain,
% 0.22/0.44      ((((horizontal_2_5 | vertical_2_5) | horizontal_2_4) | vertical_1_5) <=> ((horizontal_2_4 | horizontal_2_5 | vertical_2_5) | vertical_1_5)),
% 0.22/0.44      inference(monotonicity,[status(thm)],[274])).
% 0.22/0.44  tff(276,plain,
% 0.22/0.44      ((((horizontal_2_5 | vertical_2_5) | horizontal_2_4) | vertical_1_5) <=> (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5)),
% 0.22/0.44      inference(transitivity,[status(thm)],[275, 273])).
% 0.22/0.44  tff(277,axiom,(((horizontal_2_5 | vertical_2_5) | horizontal_2_4) | vertical_1_5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_5')).
% 0.22/0.44  tff(278,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[277, 276])).
% 0.22/0.44  tff(279,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[278, 272])).
% 0.22/0.44  tff(280,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[279, 272])).
% 0.22/0.44  tff(281,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[280, 272])).
% 0.22/0.44  tff(282,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[281, 272])).
% 0.22/0.44  tff(283,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[282, 272])).
% 0.22/0.44  tff(284,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[283, 272])).
% 0.22/0.44  tff(285,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[284, 272])).
% 0.22/0.44  tff(286,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[285, 272])).
% 0.22/0.44  tff(287,plain,
% 0.22/0.44      (vertical_1_5 | horizontal_2_4 | horizontal_2_5 | vertical_2_5),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[286, 272])).
% 0.22/0.44  tff(288,plain,
% 0.22/0.44      (vertical_1_5),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[287, 271, 242, 238])).
% 0.22/0.44  tff(289,axiom,((~horizontal_1_5) | (~vertical_1_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_1_5')).
% 0.22/0.44  tff(290,plain,
% 0.22/0.44      ($false),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[289, 288, 234])).
% 0.22/0.44  tff(291,plain,((~vertical_4_3) | horizontal_3_3 | vertical_3_1), inference(lemma,lemma(discharge,[]))).
% 0.22/0.44  tff(292,plain,
% 0.22/0.44      (~vertical_4_3),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[291, 13, 4])).
% 0.22/0.44  tff(293,plain,
% 0.22/0.44      ((vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3) <=> (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(294,plain,
% 0.22/0.44      (((horizontal_4_2 | horizontal_4_3 | vertical_4_3) | vertical_3_3) <=> (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(295,plain,
% 0.22/0.44      (((horizontal_4_3 | vertical_4_3) | horizontal_4_2) <=> (horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(296,plain,
% 0.22/0.44      ((((horizontal_4_3 | vertical_4_3) | horizontal_4_2) | vertical_3_3) <=> ((horizontal_4_2 | horizontal_4_3 | vertical_4_3) | vertical_3_3)),
% 0.22/0.44      inference(monotonicity,[status(thm)],[295])).
% 0.22/0.44  tff(297,plain,
% 0.22/0.44      ((((horizontal_4_3 | vertical_4_3) | horizontal_4_2) | vertical_3_3) <=> (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3)),
% 0.22/0.44      inference(transitivity,[status(thm)],[296, 294])).
% 0.22/0.44  tff(298,axiom,(((horizontal_4_3 | vertical_4_3) | horizontal_4_2) | vertical_3_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_4_3')).
% 0.22/0.44  tff(299,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[298, 297])).
% 0.22/0.44  tff(300,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[299, 293])).
% 0.22/0.44  tff(301,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[300, 293])).
% 0.22/0.44  tff(302,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[301, 293])).
% 0.22/0.44  tff(303,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[302, 293])).
% 0.22/0.44  tff(304,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[303, 293])).
% 0.22/0.44  tff(305,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[304, 293])).
% 0.22/0.44  tff(306,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[305, 293])).
% 0.22/0.44  tff(307,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[306, 293])).
% 0.22/0.44  tff(308,plain,
% 0.22/0.44      (vertical_3_3 | horizontal_4_2 | horizontal_4_3 | vertical_4_3),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[307, 293])).
% 0.22/0.44  tff(309,plain,
% 0.22/0.44      (vertical_3_3),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[308, 292, 3, 12])).
% 0.22/0.44  tff(310,plain,
% 0.22/0.44      (((~vertical_3_3) | (~vertical_2_3)) <=> ((~vertical_2_3) | (~vertical_3_3))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(311,axiom,((~vertical_3_3) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_3')).
% 0.22/0.44  tff(312,plain,
% 0.22/0.44      ((~vertical_2_3) | (~vertical_3_3)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[311, 310])).
% 0.22/0.44  tff(313,plain,
% 0.22/0.44      (~vertical_2_3),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[312, 309])).
% 0.22/0.44  tff(314,assumption,(~vertical_4_3), introduced(assumption)).
% 0.22/0.44  tff(315,assumption,(~horizontal_3_1), introduced(assumption)).
% 0.22/0.44  tff(316,assumption,(vertical_4_2), introduced(assumption)).
% 0.22/0.44  tff(317,axiom,((~horizontal_4_2) | (~vertical_4_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_4_2')).
% 0.22/0.44  tff(318,plain,
% 0.22/0.44      (~horizontal_4_2),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[317, 316])).
% 0.22/0.44  tff(319,plain,
% 0.22/0.44      (vertical_3_3),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[308, 318, 314, 3])).
% 0.22/0.44  tff(320,plain,
% 0.22/0.44      (((~vertical_4_2) | (~vertical_3_2)) <=> ((~vertical_3_2) | (~vertical_4_2))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(321,axiom,((~vertical_4_2) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_2')).
% 0.22/0.44  tff(322,plain,
% 0.22/0.44      ((~vertical_3_2) | (~vertical_4_2)),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[321, 320])).
% 0.22/0.44  tff(323,plain,
% 0.22/0.44      (~vertical_3_2),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[322, 316])).
% 0.22/0.44  tff(324,plain,
% 0.22/0.44      ((vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2) <=> (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(325,plain,
% 0.22/0.44      (((horizontal_3_1 | horizontal_3_2 | vertical_3_2) | vertical_2_2) <=> (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(326,plain,
% 0.22/0.44      (((horizontal_3_2 | vertical_3_2) | horizontal_3_1) <=> (horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(327,plain,
% 0.22/0.44      ((((horizontal_3_2 | vertical_3_2) | horizontal_3_1) | vertical_2_2) <=> ((horizontal_3_1 | horizontal_3_2 | vertical_3_2) | vertical_2_2)),
% 0.22/0.44      inference(monotonicity,[status(thm)],[326])).
% 0.22/0.44  tff(328,plain,
% 0.22/0.44      ((((horizontal_3_2 | vertical_3_2) | horizontal_3_1) | vertical_2_2) <=> (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2)),
% 0.22/0.44      inference(transitivity,[status(thm)],[327, 325])).
% 0.22/0.44  tff(329,axiom,(((horizontal_3_2 | vertical_3_2) | horizontal_3_1) | vertical_2_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_3_2')).
% 0.22/0.45  tff(330,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[329, 328])).
% 0.22/0.45  tff(331,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[330, 324])).
% 0.22/0.45  tff(332,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[331, 324])).
% 0.22/0.45  tff(333,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[332, 324])).
% 0.22/0.45  tff(334,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[333, 324])).
% 0.22/0.45  tff(335,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[334, 324])).
% 0.22/0.45  tff(336,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[335, 324])).
% 0.22/0.45  tff(337,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[336, 324])).
% 0.22/0.45  tff(338,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[337, 324])).
% 0.22/0.45  tff(339,plain,
% 0.22/0.45      (vertical_2_2 | horizontal_3_1 | horizontal_3_2 | vertical_3_2),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[338, 324])).
% 0.22/0.45  tff(340,plain,
% 0.22/0.45      (horizontal_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[339, 323, 6, 315])).
% 0.22/0.45  tff(341,plain,
% 0.22/0.45      (((~vertical_3_3) | (~horizontal_3_2)) <=> ((~horizontal_3_2) | (~vertical_3_3))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(342,axiom,((~vertical_3_3) | (~horizontal_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_3_3')).
% 0.22/0.45  tff(343,plain,
% 0.22/0.45      ((~horizontal_3_2) | (~vertical_3_3)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[342, 341])).
% 0.22/0.45  tff(344,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[343, 340, 319])).
% 0.22/0.45  tff(345,plain,((~vertical_4_2) | vertical_2_2 | horizontal_3_1 | vertical_4_3 | horizontal_4_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(346,plain,
% 0.22/0.45      (~vertical_4_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[345, 3, 315, 314, 6])).
% 0.22/0.45  tff(347,assumption,(~vertical_4_2), introduced(assumption)).
% 0.22/0.45  tff(348,assumption,(vertical_4_1), introduced(assumption)).
% 0.22/0.45  tff(349,axiom,((~horizontal_5_1) | (~vertical_4_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_1')).
% 0.22/0.45  tff(350,plain,
% 0.22/0.45      (~horizontal_5_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[349, 348])).
% 0.22/0.45  tff(351,plain,
% 0.22/0.45      (vertical_5_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[65, 350, 5, 347])).
% 0.22/0.45  tff(352,plain,
% 0.22/0.45      (~vertical_5_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[69, 348])).
% 0.22/0.45  tff(353,plain,
% 0.22/0.45      (horizontal_6_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[46, 352])).
% 0.22/0.45  tff(354,axiom,((~horizontal_6_1) | (~vertical_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_6_2')).
% 0.22/0.45  tff(355,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[354, 353, 351])).
% 0.22/0.45  tff(356,plain,((~vertical_4_1) | horizontal_5_2 | vertical_4_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(357,plain,
% 0.22/0.45      (~vertical_4_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[356, 346, 5])).
% 0.22/0.45  tff(358,plain,
% 0.22/0.45      (horizontal_4_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[83, 357, 4])).
% 0.22/0.45  tff(359,plain,
% 0.22/0.45      (~horizontal_4_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[10, 358])).
% 0.22/0.45  tff(360,plain,
% 0.22/0.45      (vertical_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[308, 359, 314, 3])).
% 0.22/0.45  tff(361,axiom,((~horizontal_4_1) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_2')).
% 0.22/0.45  tff(362,plain,
% 0.22/0.45      (~vertical_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[361, 358])).
% 0.22/0.45  tff(363,plain,
% 0.22/0.45      (horizontal_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[339, 362, 6, 315])).
% 0.22/0.45  tff(364,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[343, 363, 360])).
% 0.22/0.45  tff(365,plain,(horizontal_4_3 | vertical_2_2 | horizontal_3_1 | vertical_4_3 | vertical_3_1 | horizontal_5_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(366,plain,
% 0.22/0.45      (horizontal_3_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[365, 292, 3, 5, 6, 4])).
% 0.22/0.45  tff(367,axiom,((~horizontal_3_1) | (~vertical_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_1')).
% 0.22/0.45  tff(368,plain,
% 0.22/0.45      (~vertical_2_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[367, 366])).
% 0.22/0.45  tff(369,plain,
% 0.22/0.45      (($false | horizontal_2_1 | vertical_2_1) <=> (horizontal_2_1 | vertical_2_1)),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(370,axiom,(~vertical_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered2_1_1')).
% 0.22/0.45  tff(371,plain,
% 0.22/0.45      (vertical_1_1 <=> $false),
% 0.22/0.45      inference(iff_false,[status(thm)],[370])).
% 0.22/0.45  tff(372,plain,
% 0.22/0.45      ((vertical_1_1 | horizontal_2_1 | vertical_2_1) <=> ($false | horizontal_2_1 | vertical_2_1)),
% 0.22/0.45      inference(monotonicity,[status(thm)],[371])).
% 0.22/0.45  tff(373,plain,
% 0.22/0.45      ((vertical_1_1 | horizontal_2_1 | vertical_2_1) <=> (horizontal_2_1 | vertical_2_1)),
% 0.22/0.45      inference(transitivity,[status(thm)],[372, 369])).
% 0.22/0.45  tff(374,plain,
% 0.22/0.45      ((vertical_1_1 | horizontal_2_1 | vertical_2_1) <=> (vertical_1_1 | horizontal_2_1 | vertical_2_1)),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(375,plain,
% 0.22/0.45      (((horizontal_2_1 | vertical_2_1) | vertical_1_1) <=> (vertical_1_1 | horizontal_2_1 | vertical_2_1)),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(376,axiom,((horizontal_2_1 | vertical_2_1) | vertical_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_1')).
% 0.22/0.45  tff(377,plain,
% 0.22/0.45      (vertical_1_1 | horizontal_2_1 | vertical_2_1),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[376, 375])).
% 0.22/0.45  tff(378,plain,
% 0.22/0.45      (vertical_1_1 | horizontal_2_1 | vertical_2_1),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[377, 374])).
% 0.22/0.45  tff(379,plain,
% 0.22/0.45      (horizontal_2_1 | vertical_2_1),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[378, 373])).
% 0.22/0.45  tff(380,plain,
% 0.22/0.45      (horizontal_2_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[379, 368])).
% 0.22/0.45  tff(381,plain,
% 0.22/0.45      (((~horizontal_2_2) | (~horizontal_2_1)) <=> ((~horizontal_2_1) | (~horizontal_2_2))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(382,axiom,((~horizontal_2_2) | (~horizontal_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_2_2')).
% 0.22/0.45  tff(383,plain,
% 0.22/0.45      ((~horizontal_2_1) | (~horizontal_2_2)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[382, 381])).
% 0.22/0.45  tff(384,plain,
% 0.22/0.45      (~horizontal_2_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[383, 380])).
% 0.22/0.45  tff(385,assumption,(vertical_1_2), introduced(assumption)).
% 0.22/0.45  tff(386,axiom,((~horizontal_2_2) | (~vertical_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_2_2')).
% 0.22/0.45  tff(387,plain,
% 0.22/0.45      (~horizontal_2_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[386, 385])).
% 0.22/0.45  tff(388,axiom,((~horizontal_2_1) | (~vertical_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_2_2')).
% 0.22/0.45  tff(389,plain,
% 0.22/0.45      (~horizontal_2_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[388, 385])).
% 0.22/0.45  tff(390,plain,
% 0.22/0.45      (vertical_2_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[379, 389])).
% 0.22/0.45  tff(391,plain,
% 0.22/0.45      (((~vertical_3_1) | (~vertical_2_1)) <=> ((~vertical_2_1) | (~vertical_3_1))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(392,axiom,((~vertical_3_1) | (~vertical_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_3_1')).
% 0.22/0.45  tff(393,plain,
% 0.22/0.45      ((~vertical_2_1) | (~vertical_3_1)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[392, 391])).
% 0.22/0.45  tff(394,plain,
% 0.22/0.45      (~vertical_3_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[393, 390])).
% 0.22/0.45  tff(395,plain,
% 0.22/0.45      (~horizontal_3_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[367, 390])).
% 0.22/0.45  tff(396,plain,
% 0.22/0.45      (((~vertical_2_2) | (~vertical_1_2)) <=> ((~vertical_1_2) | (~vertical_2_2))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(397,axiom,((~vertical_2_2) | (~vertical_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_2')).
% 0.22/0.45  tff(398,plain,
% 0.22/0.45      ((~vertical_1_2) | (~vertical_2_2)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[397, 396])).
% 0.22/0.45  tff(399,plain,
% 0.22/0.45      (~vertical_2_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[398, 385])).
% 0.22/0.45  tff(400,assumption,(~vertical_5_3), introduced(assumption)).
% 0.22/0.45  tff(401,plain,
% 0.22/0.45      (vertical_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[200, 124, 2, 159])).
% 0.22/0.45  tff(402,plain,
% 0.22/0.45      (~vertical_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[237, 401])).
% 0.22/0.45  tff(403,plain,
% 0.22/0.45      (~vertical_3_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[208, 154])).
% 0.22/0.45  tff(404,plain,
% 0.22/0.45      (~horizontal_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[202, 401])).
% 0.22/0.45  tff(405,plain,
% 0.22/0.45      (vertical_2_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[225, 404, 403])).
% 0.22/0.45  tff(406,plain,
% 0.22/0.45      (~horizontal_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[241, 405])).
% 0.22/0.45  tff(407,plain,
% 0.22/0.45      (~vertical_1_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[229, 405])).
% 0.22/0.45  tff(408,plain,
% 0.22/0.45      (horizontal_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[233, 407])).
% 0.22/0.45  tff(409,plain,
% 0.22/0.45      (~vertical_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[289, 408])).
% 0.22/0.45  tff(410,plain,
% 0.22/0.45      (horizontal_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[287, 409, 406, 402])).
% 0.22/0.45  tff(411,plain,
% 0.22/0.45      (((~horizontal_2_4) | (~horizontal_2_3)) <=> ((~horizontal_2_3) | (~horizontal_2_4))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(412,axiom,((~horizontal_2_4) | (~horizontal_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_2_4')).
% 0.22/0.45  tff(413,plain,
% 0.22/0.45      ((~horizontal_2_3) | (~horizontal_2_4)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[412, 411])).
% 0.22/0.45  tff(414,plain,
% 0.22/0.45      (~horizontal_2_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[413, 410])).
% 0.22/0.45  tff(415,plain,
% 0.22/0.45      (~vertical_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[251, 180])).
% 0.22/0.45  tff(416,plain,
% 0.22/0.45      (~horizontal_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[245, 401])).
% 0.22/0.45  tff(417,plain,
% 0.22/0.45      (~vertical_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[270, 410])).
% 0.22/0.45  tff(418,plain,
% 0.22/0.45      (horizontal_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[268, 417, 416, 415])).
% 0.22/0.45  tff(419,axiom,((~horizontal_3_3) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_3')).
% 0.22/0.45  tff(420,plain,
% 0.22/0.45      (~vertical_2_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[419, 418])).
% 0.22/0.45  tff(421,plain,
% 0.22/0.45      (((~horizontal_1_5) | (~horizontal_1_4)) <=> ((~horizontal_1_4) | (~horizontal_1_5))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(422,axiom,((~horizontal_1_5) | (~horizontal_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_1_5')).
% 0.22/0.45  tff(423,plain,
% 0.22/0.45      ((~horizontal_1_4) | (~horizontal_1_5)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[422, 421])).
% 0.22/0.45  tff(424,plain,
% 0.22/0.45      (~horizontal_1_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[423, 408])).
% 0.22/0.45  tff(425,axiom,((~horizontal_2_4) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_2_4')).
% 0.22/0.45  tff(426,plain,
% 0.22/0.45      (~vertical_1_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[425, 410])).
% 0.22/0.45  tff(427,plain,
% 0.22/0.45      (((horizontal_1_4 | vertical_1_4) | horizontal_1_3) <=> (horizontal_1_3 | horizontal_1_4 | vertical_1_4)),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(428,axiom,((horizontal_1_4 | vertical_1_4) | horizontal_1_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_4')).
% 0.22/0.45  tff(429,plain,
% 0.22/0.45      (horizontal_1_3 | horizontal_1_4 | vertical_1_4),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[428, 427])).
% 0.22/0.45  tff(430,plain,
% 0.22/0.45      (horizontal_1_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[429, 426, 424])).
% 0.22/0.45  tff(431,axiom,((~horizontal_1_3) | (~vertical_1_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_1_3')).
% 0.22/0.45  tff(432,plain,
% 0.22/0.45      (~vertical_1_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[431, 430])).
% 0.22/0.45  tff(433,plain,
% 0.22/0.45      ((vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3) <=> (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(434,plain,
% 0.22/0.45      (((horizontal_2_2 | horizontal_2_3 | vertical_2_3) | vertical_1_3) <=> (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(435,plain,
% 0.22/0.45      (((horizontal_2_3 | vertical_2_3) | horizontal_2_2) <=> (horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(436,plain,
% 0.22/0.45      ((((horizontal_2_3 | vertical_2_3) | horizontal_2_2) | vertical_1_3) <=> ((horizontal_2_2 | horizontal_2_3 | vertical_2_3) | vertical_1_3)),
% 0.22/0.45      inference(monotonicity,[status(thm)],[435])).
% 0.22/0.45  tff(437,plain,
% 0.22/0.45      ((((horizontal_2_3 | vertical_2_3) | horizontal_2_2) | vertical_1_3) <=> (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3)),
% 0.22/0.45      inference(transitivity,[status(thm)],[436, 434])).
% 0.22/0.45  tff(438,axiom,(((horizontal_2_3 | vertical_2_3) | horizontal_2_2) | vertical_1_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_2_3')).
% 0.22/0.45  tff(439,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[438, 437])).
% 0.22/0.45  tff(440,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[439, 433])).
% 0.22/0.45  tff(441,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[440, 433])).
% 0.22/0.45  tff(442,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[441, 433])).
% 0.22/0.45  tff(443,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[442, 433])).
% 0.22/0.45  tff(444,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[443, 433])).
% 0.22/0.45  tff(445,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[444, 433])).
% 0.22/0.45  tff(446,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[445, 433])).
% 0.22/0.45  tff(447,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[446, 433])).
% 0.22/0.45  tff(448,plain,
% 0.22/0.45      (vertical_1_3 | horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[447, 433])).
% 0.22/0.45  tff(449,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[448, 432, 420, 1, 414])).
% 0.22/0.45  tff(450,plain,((~vertical_5_5) | horizontal_2_2 | horizontal_5_3 | vertical_5_4), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(451,plain,
% 0.22/0.45      (~vertical_5_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[450, 2, 1, 159])).
% 0.22/0.45  tff(452,plain,
% 0.22/0.45      (horizontal_6_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[118, 451])).
% 0.22/0.45  tff(453,plain,
% 0.22/0.45      (~horizontal_6_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[95, 452])).
% 0.22/0.45  tff(454,plain,
% 0.22/0.45      (horizontal_6_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[37, 453, 400])).
% 0.22/0.45  tff(455,plain,
% 0.22/0.45      (~horizontal_6_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[44, 454])).
% 0.22/0.45  tff(456,plain,
% 0.22/0.45      (vertical_5_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[46, 455])).
% 0.22/0.45  tff(457,plain,
% 0.22/0.45      (~horizontal_5_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[48, 456])).
% 0.22/0.45  tff(458,plain,
% 0.22/0.45      (~horizontal_4_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[10, 84])).
% 0.22/0.45  tff(459,assumption,(~horizontal_5_1), introduced(assumption)).
% 0.22/0.45  tff(460,plain,
% 0.22/0.45      (~vertical_4_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[87, 84])).
% 0.22/0.45  tff(461,plain,
% 0.22/0.45      (horizontal_5_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[65, 460, 459, 41])).
% 0.22/0.45  tff(462,plain,
% 0.22/0.45      (~vertical_4_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[15, 461])).
% 0.22/0.45  tff(463,plain,
% 0.22/0.45      (~vertical_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[361, 84])).
% 0.22/0.45  tff(464,plain,
% 0.22/0.45      (horizontal_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[339, 463, 6, 315])).
% 0.22/0.45  tff(465,plain,
% 0.22/0.45      (~vertical_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[343, 464])).
% 0.22/0.45  tff(466,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[308, 465, 462, 3, 458])).
% 0.22/0.45  tff(467,plain,((~horizontal_6_2) | horizontal_4_3 | vertical_2_2 | horizontal_3_1 | horizontal_5_1 | vertical_3_1), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(468,plain,
% 0.22/0.45      (horizontal_4_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[467, 457, 6, 315, 454, 4])).
% 0.22/0.45  tff(469,plain,
% 0.22/0.45      (((~vertical_4_4) | (~horizontal_4_3)) <=> ((~horizontal_4_3) | (~vertical_4_4))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(470,axiom,((~vertical_4_4) | (~horizontal_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_4_4')).
% 0.22/0.45  tff(471,plain,
% 0.22/0.45      ((~horizontal_4_3) | (~vertical_4_4)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[470, 469])).
% 0.22/0.45  tff(472,plain,
% 0.22/0.45      (~vertical_4_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[471, 468])).
% 0.22/0.45  tff(473,plain,
% 0.22/0.45      (horizontal_5_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[179, 472, 2, 159])).
% 0.22/0.45  tff(474,plain,
% 0.22/0.45      (((~horizontal_5_5) | (~horizontal_5_4)) <=> ((~horizontal_5_4) | (~horizontal_5_5))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(475,axiom,((~horizontal_5_5) | (~horizontal_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_5')).
% 0.22/0.45  tff(476,plain,
% 0.22/0.45      ((~horizontal_5_4) | (~horizontal_5_5)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[475, 474])).
% 0.22/0.45  tff(477,plain,
% 0.22/0.45      (~horizontal_5_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[476, 473])).
% 0.22/0.45  tff(478,plain,
% 0.22/0.45      (vertical_4_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[153, 477])).
% 0.22/0.45  tff(479,plain,
% 0.22/0.45      (~vertical_3_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[208, 478])).
% 0.22/0.45  tff(480,axiom,((~horizontal_5_4) | (~vertical_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_5_5')).
% 0.22/0.45  tff(481,plain,
% 0.22/0.45      (~vertical_4_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[480, 473])).
% 0.22/0.45  tff(482,plain,
% 0.22/0.45      (((~horizontal_4_4) | (~horizontal_4_3)) <=> ((~horizontal_4_3) | (~horizontal_4_4))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(483,axiom,((~horizontal_4_4) | (~horizontal_4_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_4_4')).
% 0.22/0.45  tff(484,plain,
% 0.22/0.45      ((~horizontal_4_3) | (~horizontal_4_4)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[483, 482])).
% 0.22/0.45  tff(485,plain,
% 0.22/0.45      (~horizontal_4_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[484, 468])).
% 0.22/0.45  tff(486,plain,
% 0.22/0.45      (~horizontal_4_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[157, 478])).
% 0.22/0.45  tff(487,plain,
% 0.22/0.45      (vertical_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[198, 486, 485, 481])).
% 0.22/0.45  tff(488,plain,
% 0.22/0.45      (~horizontal_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[202, 487])).
% 0.22/0.45  tff(489,plain,
% 0.22/0.45      (vertical_2_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[225, 488, 479])).
% 0.22/0.45  tff(490,plain,
% 0.22/0.45      (~vertical_1_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[229, 489])).
% 0.22/0.45  tff(491,plain,
% 0.22/0.45      (horizontal_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[233, 490])).
% 0.22/0.45  tff(492,plain,
% 0.22/0.45      (~vertical_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[237, 487])).
% 0.22/0.45  tff(493,plain,
% 0.22/0.45      (~horizontal_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[241, 489])).
% 0.22/0.45  tff(494,axiom,((~horizontal_4_3) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_4')).
% 0.22/0.45  tff(495,plain,
% 0.22/0.45      (~vertical_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[494, 468])).
% 0.22/0.45  tff(496,plain,
% 0.22/0.45      (~vertical_4_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[69, 456])).
% 0.22/0.45  tff(497,plain,
% 0.22/0.45      (horizontal_4_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[83, 496, 4])).
% 0.22/0.45  tff(498,plain,
% 0.22/0.45      (~vertical_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[361, 497])).
% 0.22/0.45  tff(499,plain,
% 0.22/0.45      (horizontal_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[339, 498, 6, 315])).
% 0.22/0.45  tff(500,plain,
% 0.22/0.45      (((~horizontal_3_3) | (~horizontal_3_2)) <=> ((~horizontal_3_2) | (~horizontal_3_3))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(501,axiom,((~horizontal_3_3) | (~horizontal_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_3_3')).
% 0.22/0.45  tff(502,plain,
% 0.22/0.45      ((~horizontal_3_2) | (~horizontal_3_3)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[501, 500])).
% 0.22/0.45  tff(503,plain,
% 0.22/0.45      (~horizontal_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[502, 499])).
% 0.22/0.45  tff(504,plain,
% 0.22/0.45      (~horizontal_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[245, 487])).
% 0.22/0.45  tff(505,plain,
% 0.22/0.45      (vertical_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[268, 504, 503, 495])).
% 0.22/0.45  tff(506,plain,
% 0.22/0.45      (~horizontal_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[270, 505])).
% 0.22/0.45  tff(507,plain,
% 0.22/0.45      (vertical_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[287, 506, 493, 492])).
% 0.22/0.45  tff(508,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[289, 507, 491])).
% 0.22/0.45  tff(509,plain,(horizontal_5_3 | vertical_2_2 | horizontal_3_1 | vertical_5_4 | vertical_3_1 | vertical_5_3 | horizontal_2_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(510,plain,
% 0.22/0.45      (horizontal_5_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[509, 400, 315, 159, 4, 6, 1])).
% 0.22/0.45  tff(511,plain,
% 0.22/0.45      (((~horizontal_5_3) | (~horizontal_5_2)) <=> ((~horizontal_5_2) | (~horizontal_5_3))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(512,axiom,((~horizontal_5_3) | (~horizontal_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_3')).
% 0.22/0.45  tff(513,plain,
% 0.22/0.45      ((~horizontal_5_2) | (~horizontal_5_3)),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[512, 511])).
% 0.22/0.45  tff(514,plain,
% 0.22/0.45      (~horizontal_5_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[513, 510])).
% 0.22/0.45  tff(515,plain,
% 0.22/0.45      (~horizontal_6_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[89, 514, 4])).
% 0.22/0.45  tff(516,plain,
% 0.22/0.45      (horizontal_6_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[37, 515, 400])).
% 0.22/0.45  tff(517,plain,
% 0.22/0.45      (~horizontal_6_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[95, 516])).
% 0.22/0.45  tff(518,plain,
% 0.22/0.45      (vertical_5_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[118, 517])).
% 0.22/0.45  tff(519,plain,
% 0.22/0.45      (~horizontal_5_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[130, 518])).
% 0.22/0.45  tff(520,plain,
% 0.22/0.45      (vertical_4_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[153, 519])).
% 0.22/0.45  tff(521,plain,
% 0.22/0.45      (~vertical_3_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[208, 520])).
% 0.22/0.45  tff(522,plain,
% 0.22/0.45      (~vertical_4_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[127, 518])).
% 0.22/0.45  tff(523,plain,
% 0.22/0.45      (~horizontal_4_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[157, 520])).
% 0.22/0.45  tff(524,plain,
% 0.22/0.45      (~vertical_4_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[120, 510])).
% 0.22/0.45  tff(525,assumption,(~vertical_3_6), introduced(assumption)).
% 0.22/0.45  tff(526,assumption,(~vertical_4_5), introduced(assumption)).
% 0.22/0.45  tff(527,assumption,(~horizontal_4_5), introduced(assumption)).
% 0.22/0.45  tff(528,plain,
% 0.22/0.45      (~vertical_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[361, 7])).
% 0.22/0.45  tff(529,plain,
% 0.22/0.45      (horizontal_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[339, 528, 6, 315])).
% 0.22/0.45  tff(530,plain,
% 0.22/0.45      (~vertical_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[343, 529])).
% 0.22/0.45  tff(531,plain,
% 0.22/0.45      (horizontal_4_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[308, 530, 314, 11])).
% 0.22/0.45  tff(532,plain,
% 0.22/0.45      (~horizontal_4_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[484, 531])).
% 0.22/0.45  tff(533,plain,
% 0.22/0.45      (vertical_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[198, 532, 527, 526])).
% 0.22/0.45  tff(534,plain,
% 0.22/0.45      (~horizontal_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[202, 533])).
% 0.22/0.45  tff(535,plain,
% 0.22/0.45      (vertical_2_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[225, 534, 525])).
% 0.22/0.45  tff(536,plain,
% 0.22/0.45      (~vertical_1_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[229, 535])).
% 0.22/0.45  tff(537,plain,
% 0.22/0.45      (horizontal_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[233, 536])).
% 0.22/0.45  tff(538,plain,
% 0.22/0.45      (~vertical_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[237, 533])).
% 0.22/0.45  tff(539,plain,
% 0.22/0.45      (~horizontal_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[241, 535])).
% 0.22/0.45  tff(540,plain,
% 0.22/0.45      (~vertical_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[494, 531])).
% 0.22/0.45  tff(541,plain,
% 0.22/0.45      (~horizontal_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[502, 529])).
% 0.22/0.45  tff(542,plain,
% 0.22/0.45      (~horizontal_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[245, 533])).
% 0.22/0.45  tff(543,plain,
% 0.22/0.45      (vertical_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[268, 542, 541, 540])).
% 0.22/0.45  tff(544,plain,
% 0.22/0.45      (~horizontal_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[270, 543])).
% 0.22/0.45  tff(545,plain,
% 0.22/0.45      (vertical_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[287, 544, 539, 538])).
% 0.22/0.45  tff(546,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[289, 545, 537])).
% 0.22/0.45  tff(547,plain,((~horizontal_4_1) | vertical_3_6 | horizontal_4_5 | vertical_4_5 | vertical_4_3 | vertical_2_2 | horizontal_3_1), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(548,plain,
% 0.22/0.45      (~horizontal_4_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[547, 521, 523, 522, 524, 6, 315])).
% 0.22/0.45  tff(549,plain,
% 0.22/0.45      (vertical_4_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[83, 548, 4])).
% 0.22/0.45  tff(550,plain,
% 0.22/0.45      (~horizontal_5_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[349, 549])).
% 0.22/0.45  tff(551,plain,
% 0.22/0.45      (~vertical_5_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[69, 549])).
% 0.22/0.45  tff(552,plain,
% 0.22/0.45      (horizontal_6_1),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[46, 551])).
% 0.22/0.45  tff(553,plain,
% 0.22/0.45      (~vertical_5_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[354, 552])).
% 0.22/0.45  tff(554,plain,
% 0.22/0.45      (vertical_4_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[65, 553, 514, 550])).
% 0.22/0.45  tff(555,plain,
% 0.22/0.45      (~horizontal_4_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[317, 554])).
% 0.22/0.45  tff(556,plain,
% 0.22/0.45      (~vertical_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[322, 554])).
% 0.22/0.45  tff(557,plain,
% 0.22/0.45      (horizontal_3_2),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[339, 556, 6, 315])).
% 0.22/0.45  tff(558,plain,
% 0.22/0.45      (~vertical_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[343, 557])).
% 0.22/0.45  tff(559,plain,
% 0.22/0.45      (horizontal_4_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[308, 558, 524, 555])).
% 0.22/0.45  tff(560,plain,
% 0.22/0.45      (~horizontal_4_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[484, 559])).
% 0.22/0.45  tff(561,plain,
% 0.22/0.45      (vertical_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[198, 560, 523, 522])).
% 0.22/0.45  tff(562,plain,
% 0.22/0.45      (~horizontal_3_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[202, 561])).
% 0.22/0.45  tff(563,plain,
% 0.22/0.45      (vertical_2_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[225, 562, 521])).
% 0.22/0.45  tff(564,plain,
% 0.22/0.45      (~vertical_1_6),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[229, 563])).
% 0.22/0.45  tff(565,plain,
% 0.22/0.45      (horizontal_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[233, 564])).
% 0.22/0.45  tff(566,plain,
% 0.22/0.45      (~vertical_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[237, 561])).
% 0.22/0.45  tff(567,plain,
% 0.22/0.45      (~horizontal_2_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[241, 563])).
% 0.22/0.45  tff(568,plain,
% 0.22/0.45      (~vertical_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[494, 559])).
% 0.22/0.45  tff(569,plain,
% 0.22/0.45      (~horizontal_3_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[502, 557])).
% 0.22/0.45  tff(570,plain,
% 0.22/0.45      (~horizontal_3_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[245, 561])).
% 0.22/0.45  tff(571,plain,
% 0.22/0.45      (vertical_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[268, 570, 569, 568])).
% 0.22/0.45  tff(572,plain,
% 0.22/0.45      (~horizontal_2_4),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[270, 571])).
% 0.22/0.45  tff(573,plain,
% 0.22/0.45      (vertical_1_5),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[287, 572, 567, 566])).
% 0.22/0.45  tff(574,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[289, 573, 565])).
% 0.22/0.45  tff(575,plain,(vertical_5_3 | vertical_2_2 | horizontal_3_1 | vertical_3_1 | vertical_5_4 | horizontal_2_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(576,plain,
% 0.22/0.45      (vertical_5_3),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[575, 159, 315, 4, 6, 1])).
% 0.22/0.46  tff(577,plain,
% 0.22/0.46      (((~vertical_5_3) | (~horizontal_5_2)) <=> ((~horizontal_5_2) | (~vertical_5_3))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(578,axiom,((~vertical_5_3) | (~horizontal_5_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_5_3')).
% 0.22/0.46  tff(579,plain,
% 0.22/0.46      ((~horizontal_5_2) | (~vertical_5_3)),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[578, 577])).
% 0.22/0.46  tff(580,plain,
% 0.22/0.46      (~horizontal_5_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[579, 576])).
% 0.22/0.46  tff(581,plain,
% 0.22/0.46      (~vertical_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[20, 576])).
% 0.22/0.46  tff(582,plain,
% 0.22/0.46      (horizontal_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[365, 581, 315, 6, 4, 580])).
% 0.22/0.46  tff(583,plain,
% 0.22/0.46      (~vertical_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[494, 582])).
% 0.22/0.46  tff(584,axiom,((~horizontal_5_3) | (~vertical_5_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_5_3')).
% 0.22/0.46  tff(585,plain,
% 0.22/0.46      (~horizontal_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[584, 576])).
% 0.22/0.46  tff(586,assumption,(horizontal_4_3), introduced(assumption)).
% 0.22/0.46  tff(587,plain,
% 0.22/0.46      (~vertical_4_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[471, 586])).
% 0.22/0.46  tff(588,plain,
% 0.22/0.46      (horizontal_5_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[179, 587, 2, 159])).
% 0.22/0.46  tff(589,plain,
% 0.22/0.46      (~horizontal_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[476, 588])).
% 0.22/0.46  tff(590,plain,
% 0.22/0.46      (vertical_4_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[153, 589])).
% 0.22/0.46  tff(591,plain,
% 0.22/0.46      (~horizontal_4_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[484, 586])).
% 0.22/0.46  tff(592,plain,
% 0.22/0.46      (~vertical_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[480, 588])).
% 0.22/0.46  tff(593,plain,
% 0.22/0.46      (horizontal_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[198, 592, 129, 591])).
% 0.22/0.46  tff(594,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[157, 593, 590])).
% 0.22/0.46  tff(595,plain,((~horizontal_4_3) | vertical_3_5 | horizontal_5_3 | vertical_5_4), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(596,plain,
% 0.22/0.46      (vertical_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[595, 582, 585, 159])).
% 0.22/0.46  tff(597,plain,
% 0.22/0.46      (~horizontal_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[245, 596])).
% 0.22/0.46  tff(598,plain,
% 0.22/0.46      (((~vertical_4_5) | (~vertical_3_5)) <=> ((~vertical_3_5) | (~vertical_4_5))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(599,axiom,((~vertical_4_5) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_4_5')).
% 0.22/0.46  tff(600,plain,
% 0.22/0.46      ((~vertical_3_5) | (~vertical_4_5)),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[599, 598])).
% 0.22/0.46  tff(601,plain,
% 0.22/0.46      (~vertical_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[600, 596])).
% 0.22/0.46  tff(602,axiom,((~horizontal_4_5) | (~vertical_3_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_5')).
% 0.22/0.46  tff(603,plain,
% 0.22/0.46      (~horizontal_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[602, 596])).
% 0.22/0.46  tff(604,plain,
% 0.22/0.46      (~vertical_4_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[471, 582])).
% 0.22/0.46  tff(605,plain,
% 0.22/0.46      (horizontal_5_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[179, 604, 585, 159])).
% 0.22/0.46  tff(606,plain,
% 0.22/0.46      (~horizontal_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[476, 605])).
% 0.22/0.46  tff(607,plain,
% 0.22/0.46      (vertical_4_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[153, 606])).
% 0.22/0.46  tff(608,plain,
% 0.22/0.46      (~vertical_3_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[208, 607])).
% 0.22/0.46  tff(609,plain,
% 0.22/0.46      (~horizontal_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[547, 608, 603, 601, 581, 6, 315])).
% 0.22/0.46  tff(610,plain,
% 0.22/0.46      (vertical_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[83, 609, 4])).
% 0.22/0.46  tff(611,plain,
% 0.22/0.46      (vertical_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[356, 610, 580])).
% 0.22/0.46  tff(612,plain,
% 0.22/0.46      (~vertical_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[322, 611])).
% 0.22/0.46  tff(613,plain,
% 0.22/0.46      (horizontal_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[339, 612, 6, 315])).
% 0.22/0.46  tff(614,plain,
% 0.22/0.46      (~horizontal_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[502, 613])).
% 0.22/0.46  tff(615,plain,
% 0.22/0.46      (~vertical_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[237, 596])).
% 0.22/0.46  tff(616,plain,
% 0.22/0.46      (~horizontal_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[202, 596])).
% 0.22/0.46  tff(617,plain,
% 0.22/0.46      (vertical_2_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[225, 608, 616])).
% 0.22/0.46  tff(618,plain,
% 0.22/0.46      (~horizontal_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[241, 617])).
% 0.22/0.46  tff(619,plain,
% 0.22/0.46      (~vertical_1_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[229, 617])).
% 0.22/0.46  tff(620,plain,
% 0.22/0.46      (horizontal_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[233, 619])).
% 0.22/0.46  tff(621,plain,
% 0.22/0.46      (~vertical_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[289, 620])).
% 0.22/0.46  tff(622,plain,
% 0.22/0.46      (horizontal_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[287, 621, 618, 615])).
% 0.22/0.46  tff(623,plain,
% 0.22/0.46      (~vertical_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[270, 622])).
% 0.22/0.46  tff(624,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[268, 623, 614, 597, 583])).
% 0.22/0.46  tff(625,plain,(vertical_5_4 | vertical_2_2 | horizontal_3_1 | vertical_3_1 | horizontal_2_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(626,plain,
% 0.22/0.46      (vertical_5_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[625, 399, 395, 394, 387])).
% 0.22/0.46  tff(627,axiom,((~horizontal_6_4) | (~vertical_5_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_6_4')).
% 0.22/0.46  tff(628,plain,
% 0.22/0.46      (~horizontal_6_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[627, 626])).
% 0.22/0.46  tff(629,plain,
% 0.22/0.46      (vertical_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[118, 628])).
% 0.22/0.46  tff(630,plain,
% 0.22/0.46      (~horizontal_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[130, 629])).
% 0.22/0.46  tff(631,plain,
% 0.22/0.46      (vertical_4_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[153, 630])).
% 0.22/0.46  tff(632,plain,
% 0.22/0.46      (~vertical_3_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[208, 631])).
% 0.22/0.46  tff(633,plain,
% 0.22/0.46      (~vertical_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[127, 629])).
% 0.22/0.46  tff(634,plain,
% 0.22/0.46      (~horizontal_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[157, 631])).
% 0.22/0.46  tff(635,plain,
% 0.22/0.46      (~horizontal_6_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[122, 626])).
% 0.22/0.46  tff(636,plain,
% 0.22/0.46      (~vertical_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[91, 394, 635])).
% 0.22/0.46  tff(637,plain,
% 0.22/0.46      (~horizontal_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[547, 636, 634, 633, 632, 399, 395])).
% 0.22/0.46  tff(638,plain,
% 0.22/0.46      (vertical_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[83, 637, 394])).
% 0.22/0.46  tff(639,plain,
% 0.22/0.46      (~vertical_5_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[69, 638])).
% 0.22/0.46  tff(640,plain,
% 0.22/0.46      (horizontal_6_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[46, 639])).
% 0.22/0.46  tff(641,plain,
% 0.22/0.46      (~horizontal_6_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[44, 640])).
% 0.22/0.46  tff(642,plain,
% 0.22/0.46      (vertical_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[37, 641, 635])).
% 0.22/0.46  tff(643,plain,
% 0.22/0.46      (~horizontal_5_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[579, 642])).
% 0.22/0.46  tff(644,plain,
% 0.22/0.46      (horizontal_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[365, 643, 395, 399, 394, 636])).
% 0.22/0.46  tff(645,plain,
% 0.22/0.46      (~horizontal_4_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[484, 644])).
% 0.22/0.46  tff(646,plain,
% 0.22/0.46      (vertical_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[198, 645, 634, 633])).
% 0.22/0.46  tff(647,plain,
% 0.22/0.46      (~horizontal_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[202, 646])).
% 0.22/0.46  tff(648,plain,
% 0.22/0.46      (vertical_2_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[225, 647, 632])).
% 0.22/0.46  tff(649,plain,
% 0.22/0.46      (~vertical_1_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[229, 648])).
% 0.22/0.46  tff(650,plain,
% 0.22/0.46      (horizontal_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[233, 649])).
% 0.22/0.46  tff(651,plain,
% 0.22/0.46      (~vertical_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[237, 646])).
% 0.22/0.46  tff(652,plain,
% 0.22/0.46      (~horizontal_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[241, 648])).
% 0.22/0.46  tff(653,plain,
% 0.22/0.46      (~vertical_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[494, 644])).
% 0.22/0.46  tff(654,plain,
% 0.22/0.46      (~horizontal_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[245, 646])).
% 0.22/0.46  tff(655,plain,
% 0.22/0.46      (vertical_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[356, 643, 638])).
% 0.22/0.46  tff(656,plain,
% 0.22/0.46      (~vertical_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[322, 655])).
% 0.22/0.46  tff(657,plain,
% 0.22/0.46      (horizontal_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[339, 656, 399, 395])).
% 0.22/0.46  tff(658,plain,
% 0.22/0.46      (~horizontal_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[502, 657])).
% 0.22/0.46  tff(659,plain,
% 0.22/0.46      (vertical_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[268, 658, 654, 653])).
% 0.22/0.46  tff(660,plain,
% 0.22/0.46      (~horizontal_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[270, 659])).
% 0.22/0.46  tff(661,plain,
% 0.22/0.46      (vertical_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[287, 660, 652, 651])).
% 0.22/0.46  tff(662,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[289, 661, 650])).
% 0.22/0.46  tff(663,plain,(~vertical_1_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(664,plain,
% 0.22/0.46      (($false | horizontal_1_2 | vertical_1_2) <=> (horizontal_1_2 | vertical_1_2)),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(665,axiom,(~horizontal_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','uncovered1_1_1')).
% 0.22/0.46  tff(666,plain,
% 0.22/0.46      (horizontal_1_1 <=> $false),
% 0.22/0.46      inference(iff_false,[status(thm)],[665])).
% 0.22/0.46  tff(667,plain,
% 0.22/0.46      ((horizontal_1_1 | horizontal_1_2 | vertical_1_2) <=> ($false | horizontal_1_2 | vertical_1_2)),
% 0.22/0.46      inference(monotonicity,[status(thm)],[666])).
% 0.22/0.46  tff(668,plain,
% 0.22/0.46      ((horizontal_1_1 | horizontal_1_2 | vertical_1_2) <=> (horizontal_1_2 | vertical_1_2)),
% 0.22/0.46      inference(transitivity,[status(thm)],[667, 664])).
% 0.22/0.46  tff(669,plain,
% 0.22/0.46      (((horizontal_1_2 | vertical_1_2) | horizontal_1_1) <=> (horizontal_1_1 | horizontal_1_2 | vertical_1_2)),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(670,axiom,((horizontal_1_2 | vertical_1_2) | horizontal_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','covered_1_2')).
% 0.22/0.46  tff(671,plain,
% 0.22/0.46      (horizontal_1_1 | horizontal_1_2 | vertical_1_2),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[670, 669])).
% 0.22/0.46  tff(672,plain,
% 0.22/0.46      (horizontal_1_2 | vertical_1_2),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[671, 668])).
% 0.22/0.46  tff(673,plain,
% 0.22/0.46      (horizontal_1_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[672, 663])).
% 0.22/0.46  tff(674,plain,
% 0.22/0.46      (((~vertical_1_3) | (~horizontal_1_2)) <=> ((~horizontal_1_2) | (~vertical_1_3))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(675,axiom,((~vertical_1_3) | (~horizontal_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_1_3')).
% 0.22/0.46  tff(676,plain,
% 0.22/0.46      ((~horizontal_1_2) | (~vertical_1_3)),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[675, 674])).
% 0.22/0.46  tff(677,plain,
% 0.22/0.46      (~vertical_1_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[676, 673])).
% 0.22/0.46  tff(678,plain,
% 0.22/0.46      (horizontal_2_2 | horizontal_2_3 | vertical_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[448, 677])).
% 0.22/0.46  tff(679,plain,
% 0.22/0.46      (horizontal_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[678, 384, 313])).
% 0.22/0.46  tff(680,axiom,((~horizontal_2_3) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_2_4')).
% 0.22/0.46  tff(681,plain,
% 0.22/0.46      (~vertical_1_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[680, 679])).
% 0.22/0.46  tff(682,plain,
% 0.22/0.46      (((~horizontal_1_3) | (~horizontal_1_2)) <=> ((~horizontal_1_2) | (~horizontal_1_3))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(683,axiom,((~horizontal_1_3) | (~horizontal_1_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_1_3')).
% 0.22/0.46  tff(684,plain,
% 0.22/0.46      ((~horizontal_1_2) | (~horizontal_1_3)),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[683, 682])).
% 0.22/0.46  tff(685,plain,
% 0.22/0.46      (~horizontal_1_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[684, 673])).
% 0.22/0.46  tff(686,plain,
% 0.22/0.46      (horizontal_1_4 | vertical_1_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[429, 685])).
% 0.22/0.46  tff(687,plain,
% 0.22/0.46      (horizontal_1_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[686, 681])).
% 0.22/0.46  tff(688,plain,
% 0.22/0.46      (~horizontal_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[423, 687])).
% 0.22/0.46  tff(689,plain,
% 0.22/0.46      (vertical_1_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[233, 688])).
% 0.22/0.46  tff(690,plain,
% 0.22/0.46      (~vertical_2_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[229, 689])).
% 0.22/0.46  tff(691,plain,
% 0.22/0.46      (((~vertical_1_5) | (~horizontal_1_4)) <=> ((~horizontal_1_4) | (~vertical_1_5))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(692,axiom,((~vertical_1_5) | (~horizontal_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_1_5')).
% 0.22/0.46  tff(693,plain,
% 0.22/0.46      ((~horizontal_1_4) | (~vertical_1_5)),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[692, 691])).
% 0.22/0.46  tff(694,plain,
% 0.22/0.46      (~vertical_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[693, 687])).
% 0.22/0.46  tff(695,plain,
% 0.22/0.46      (~horizontal_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[413, 679])).
% 0.22/0.46  tff(696,axiom,((~horizontal_2_5) | (~vertical_1_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_2_6')).
% 0.22/0.46  tff(697,plain,
% 0.22/0.46      (~horizontal_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[696, 689])).
% 0.22/0.46  tff(698,plain,
% 0.22/0.46      (vertical_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[287, 697, 695, 694])).
% 0.22/0.46  tff(699,axiom,((~horizontal_3_5) | (~vertical_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_3_5')).
% 0.22/0.46  tff(700,plain,
% 0.22/0.46      (~horizontal_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[699, 698])).
% 0.22/0.46  tff(701,plain,
% 0.22/0.46      (vertical_3_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[225, 700, 690])).
% 0.22/0.46  tff(702,plain,
% 0.22/0.46      (~vertical_4_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[208, 701])).
% 0.22/0.46  tff(703,plain,
% 0.22/0.46      (horizontal_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[153, 702])).
% 0.22/0.46  tff(704,axiom,((~horizontal_4_5) | (~vertical_3_6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_4_6')).
% 0.22/0.46  tff(705,plain,
% 0.22/0.46      (~horizontal_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[704, 701])).
% 0.22/0.46  tff(706,plain,
% 0.22/0.46      (~vertical_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[237, 698])).
% 0.22/0.46  tff(707,plain,
% 0.22/0.46      (((~vertical_2_4) | (~horizontal_2_3)) <=> ((~horizontal_2_3) | (~vertical_2_4))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(708,axiom,((~vertical_2_4) | (~horizontal_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_4')).
% 0.22/0.46  tff(709,plain,
% 0.22/0.46      ((~horizontal_2_3) | (~vertical_2_4)),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[708, 707])).
% 0.22/0.46  tff(710,plain,
% 0.22/0.46      (~vertical_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[709, 679])).
% 0.22/0.46  tff(711,axiom,((~horizontal_3_4) | (~vertical_2_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_5')).
% 0.22/0.46  tff(712,plain,
% 0.22/0.46      (~horizontal_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[711, 698])).
% 0.22/0.46  tff(713,plain,
% 0.22/0.46      (vertical_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[268, 712, 13, 710])).
% 0.22/0.46  tff(714,axiom,((~horizontal_4_4) | (~vertical_3_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_4')).
% 0.22/0.46  tff(715,plain,
% 0.22/0.46      (~horizontal_4_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[714, 713])).
% 0.22/0.46  tff(716,plain,
% 0.22/0.46      (vertical_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[198, 715, 706, 705])).
% 0.22/0.46  tff(717,axiom,((~horizontal_5_5) | (~vertical_4_5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_5_5')).
% 0.22/0.46  tff(718,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[717, 716, 703])).
% 0.22/0.46  tff(719,plain,(horizontal_3_3 | horizontal_4_3 | horizontal_5_2 | vertical_2_2 | vertical_3_1 | horizontal_4_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(720,plain,
% 0.22/0.46      (horizontal_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[719, 11, 5, 6, 4, 3])).
% 0.22/0.46  tff(721,axiom,((~horizontal_3_3) | (~vertical_3_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_3')).
% 0.22/0.46  tff(722,plain,
% 0.22/0.46      (~vertical_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[721, 720])).
% 0.22/0.46  tff(723,plain,
% 0.22/0.46      (vertical_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[308, 722, 3, 11])).
% 0.22/0.46  tff(724,plain,
% 0.22/0.46      (~horizontal_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[120, 723])).
% 0.22/0.46  tff(725,plain,
% 0.22/0.46      (horizontal_6_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[91, 723, 4])).
% 0.22/0.46  tff(726,plain,
% 0.22/0.46      (~vertical_5_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[122, 725])).
% 0.22/0.46  tff(727,plain,
% 0.22/0.46      (~horizontal_6_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[95, 725])).
% 0.22/0.46  tff(728,plain,
% 0.22/0.46      (vertical_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[118, 727])).
% 0.22/0.46  tff(729,plain,
% 0.22/0.46      (~horizontal_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[502, 720])).
% 0.22/0.46  tff(730,plain,
% 0.22/0.46      (horizontal_3_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[339, 729, 6, 528])).
% 0.22/0.46  tff(731,plain,
% 0.22/0.46      (~vertical_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[367, 730])).
% 0.22/0.46  tff(732,plain,
% 0.22/0.46      (horizontal_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[379, 731])).
% 0.22/0.46  tff(733,plain,
% 0.22/0.46      (~horizontal_2_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[383, 732])).
% 0.22/0.46  tff(734,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[450, 733, 728, 726, 724])).
% 0.22/0.46  tff(735,plain,((~horizontal_4_1) | vertical_3_1 | vertical_2_2 | horizontal_4_3 | horizontal_5_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(736,plain,
% 0.22/0.46      (~horizontal_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[735, 4, 6, 3, 5])).
% 0.22/0.46  tff(737,plain,
% 0.22/0.46      (vertical_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[83, 736, 4])).
% 0.22/0.46  tff(738,plain,
% 0.22/0.46      (vertical_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[356, 737, 5])).
% 0.22/0.46  tff(739,plain,
% 0.22/0.46      (~horizontal_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[317, 738])).
% 0.22/0.46  tff(740,plain,
% 0.22/0.46      (horizontal_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[719, 739, 5, 6, 4, 3])).
% 0.22/0.46  tff(741,plain,
% 0.22/0.46      (~vertical_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[721, 740])).
% 0.22/0.46  tff(742,plain,
% 0.22/0.46      (vertical_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[308, 741, 3, 739])).
% 0.22/0.46  tff(743,plain,
% 0.22/0.46      (~horizontal_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[120, 742])).
% 0.22/0.46  tff(744,plain,
% 0.22/0.46      (horizontal_6_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[91, 742, 4])).
% 0.22/0.46  tff(745,plain,
% 0.22/0.46      (~vertical_5_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[122, 744])).
% 0.22/0.46  tff(746,plain,
% 0.22/0.46      (~horizontal_6_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[95, 744])).
% 0.22/0.46  tff(747,plain,
% 0.22/0.46      (vertical_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[118, 746])).
% 0.22/0.46  tff(748,plain,
% 0.22/0.46      (~vertical_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[322, 738])).
% 0.22/0.46  tff(749,plain,
% 0.22/0.46      (~horizontal_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[502, 740])).
% 0.22/0.46  tff(750,plain,
% 0.22/0.46      (horizontal_3_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[339, 749, 6, 748])).
% 0.22/0.46  tff(751,plain,
% 0.22/0.46      (~vertical_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[367, 750])).
% 0.22/0.46  tff(752,plain,
% 0.22/0.46      (horizontal_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[379, 751])).
% 0.22/0.46  tff(753,plain,
% 0.22/0.46      (~horizontal_2_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[383, 752])).
% 0.22/0.46  tff(754,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[450, 753, 747, 745, 743])).
% 0.22/0.46  tff(755,plain,(vertical_3_1 | vertical_2_2 | horizontal_4_3 | horizontal_5_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(756,plain,
% 0.22/0.46      (vertical_3_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[755, 6, 3, 5])).
% 0.22/0.46  tff(757,plain,
% 0.22/0.46      (~vertical_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[393, 756])).
% 0.22/0.46  tff(758,plain,
% 0.22/0.46      (horizontal_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[379, 757])).
% 0.22/0.46  tff(759,plain,
% 0.22/0.46      (~horizontal_2_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[383, 758])).
% 0.22/0.46  tff(760,axiom,((~horizontal_3_1) | (~vertical_3_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_3_1')).
% 0.22/0.46  tff(761,plain,
% 0.22/0.46      (~horizontal_3_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[760, 756])).
% 0.22/0.46  tff(762,assumption,(vertical_2_3), introduced(assumption)).
% 0.22/0.46  tff(763,plain,
% 0.22/0.46      (~vertical_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[312, 762])).
% 0.22/0.46  tff(764,plain,
% 0.22/0.46      (horizontal_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[308, 763, 3, 314])).
% 0.22/0.46  tff(765,axiom,((~horizontal_3_2) | (~vertical_2_3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover6_3_3')).
% 0.22/0.46  tff(766,plain,
% 0.22/0.46      (~horizontal_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[765, 762])).
% 0.22/0.46  tff(767,plain,
% 0.22/0.46      (vertical_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[339, 766, 6, 315])).
% 0.22/0.46  tff(768,axiom,((~horizontal_4_2) | (~vertical_3_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover3_4_2')).
% 0.22/0.46  tff(769,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[768, 767, 764])).
% 0.22/0.46  tff(770,plain,((~vertical_2_3) | vertical_2_2 | horizontal_3_1 | horizontal_4_3 | vertical_4_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(771,plain,
% 0.22/0.46      (~vertical_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[770, 314, 315, 3, 6])).
% 0.22/0.46  tff(772,plain,
% 0.22/0.46      (horizontal_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[678, 771, 1])).
% 0.22/0.46  tff(773,assumption,(horizontal_2_3), introduced(assumption)).
% 0.22/0.46  tff(774,plain,
% 0.22/0.46      (~vertical_1_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[680, 773])).
% 0.22/0.46  tff(775,plain,
% 0.22/0.46      (horizontal_1_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[686, 774])).
% 0.22/0.46  tff(776,plain,
% 0.22/0.46      (~horizontal_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[423, 775])).
% 0.22/0.46  tff(777,plain,
% 0.22/0.46      (vertical_1_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[233, 776])).
% 0.22/0.46  tff(778,plain,
% 0.22/0.46      (~vertical_2_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[229, 777])).
% 0.22/0.46  tff(779,plain,
% 0.22/0.46      (~vertical_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[693, 775])).
% 0.22/0.46  tff(780,plain,
% 0.22/0.46      (~horizontal_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[413, 773])).
% 0.22/0.46  tff(781,plain,
% 0.22/0.46      (~horizontal_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[696, 777])).
% 0.22/0.46  tff(782,plain,
% 0.22/0.46      (vertical_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[287, 781, 780, 779])).
% 0.22/0.46  tff(783,plain,
% 0.22/0.46      (~horizontal_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[699, 782])).
% 0.22/0.46  tff(784,plain,
% 0.22/0.46      (vertical_3_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[225, 783, 778])).
% 0.22/0.46  tff(785,plain,
% 0.22/0.46      (~vertical_4_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[208, 784])).
% 0.22/0.46  tff(786,plain,
% 0.22/0.46      (horizontal_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[153, 785])).
% 0.22/0.46  tff(787,plain,
% 0.22/0.46      (~horizontal_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[704, 784])).
% 0.22/0.46  tff(788,plain,
% 0.22/0.46      (~vertical_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[237, 782])).
% 0.22/0.46  tff(789,plain,
% 0.22/0.46      (~vertical_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[709, 773])).
% 0.22/0.46  tff(790,plain,
% 0.22/0.46      (~horizontal_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[711, 782])).
% 0.22/0.46  tff(791,plain,
% 0.22/0.46      (vertical_3_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[268, 790, 13, 789])).
% 0.22/0.46  tff(792,plain,
% 0.22/0.46      (~horizontal_4_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[714, 791])).
% 0.22/0.46  tff(793,plain,
% 0.22/0.46      (vertical_4_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[198, 792, 788, 787])).
% 0.22/0.46  tff(794,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[717, 793, 786])).
% 0.22/0.46  tff(795,plain,((~horizontal_2_3) | horizontal_3_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(796,plain,
% 0.22/0.46      (horizontal_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[795, 772])).
% 0.22/0.46  tff(797,plain,
% 0.22/0.46      (~vertical_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[721, 796])).
% 0.22/0.46  tff(798,plain,
% 0.22/0.46      (horizontal_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[308, 797, 3, 314])).
% 0.22/0.46  tff(799,plain,
% 0.22/0.46      (~horizontal_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[502, 796])).
% 0.22/0.46  tff(800,plain,
% 0.22/0.46      (vertical_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[339, 799, 6, 315])).
% 0.22/0.46  tff(801,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[768, 800, 798])).
% 0.22/0.46  tff(802,plain,(vertical_4_3 | vertical_2_2 | horizontal_3_1 | horizontal_4_3 | horizontal_2_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(803,plain,
% 0.22/0.46      (vertical_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[802, 6, 761, 3, 759])).
% 0.22/0.46  tff(804,plain,
% 0.22/0.46      (~vertical_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[20, 803])).
% 0.22/0.46  tff(805,plain,
% 0.22/0.46      (~horizontal_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[120, 803])).
% 0.22/0.46  tff(806,assumption,(horizontal_6_3), introduced(assumption)).
% 0.22/0.46  tff(807,plain,
% 0.22/0.46      (~vertical_5_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[122, 806])).
% 0.22/0.46  tff(808,plain,
% 0.22/0.46      (~horizontal_6_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[95, 806])).
% 0.22/0.46  tff(809,plain,
% 0.22/0.46      (vertical_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[118, 808])).
% 0.22/0.46  tff(810,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[450, 809, 807, 1, 2])).
% 0.22/0.46  tff(811,plain,((~horizontal_6_3) | horizontal_2_2 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(812,plain,
% 0.22/0.46      (~horizontal_6_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[811, 759, 805])).
% 0.22/0.46  tff(813,plain,
% 0.22/0.46      (horizontal_6_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[37, 812, 804])).
% 0.22/0.46  tff(814,plain,
% 0.22/0.46      (horizontal_5_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[65, 41, 5, 347])).
% 0.22/0.46  tff(815,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[48, 814, 47])).
% 0.22/0.46  tff(816,plain,((~horizontal_6_2) | horizontal_5_2 | vertical_4_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(817,plain,
% 0.22/0.46      (vertical_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[816, 813, 5])).
% 0.22/0.46  tff(818,plain,
% 0.22/0.46      (~vertical_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[322, 817])).
% 0.22/0.46  tff(819,plain,
% 0.22/0.46      (horizontal_3_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[339, 818, 6, 761])).
% 0.22/0.46  tff(820,plain,
% 0.22/0.46      (~vertical_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[765, 819])).
% 0.22/0.46  tff(821,plain,
% 0.22/0.46      (~horizontal_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[502, 819])).
% 0.22/0.46  tff(822,plain,
% 0.22/0.46      (~horizontal_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[795, 821])).
% 0.22/0.46  tff(823,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[678, 822, 820, 759])).
% 0.22/0.46  tff(824,plain,(vertical_2_2 | horizontal_5_2 | horizontal_4_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(825,plain,
% 0.22/0.46      (vertical_2_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[824, 5, 3])).
% 0.22/0.46  tff(826,axiom,((~horizontal_2_2) | (~vertical_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover1_2_2')).
% 0.22/0.46  tff(827,plain,
% 0.22/0.46      (~horizontal_2_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[826, 825])).
% 0.22/0.46  tff(828,plain,
% 0.22/0.46      (((~vertical_2_2) | (~horizontal_2_1)) <=> ((~horizontal_2_1) | (~vertical_2_2))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(829,axiom,((~vertical_2_2) | (~horizontal_2_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover4_2_2')).
% 0.22/0.46  tff(830,plain,
% 0.22/0.46      ((~horizontal_2_1) | (~vertical_2_2)),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[829, 828])).
% 0.22/0.46  tff(831,plain,
% 0.22/0.46      (~horizontal_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[830, 825])).
% 0.22/0.46  tff(832,plain,
% 0.22/0.46      (vertical_2_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[379, 831])).
% 0.22/0.46  tff(833,plain,
% 0.22/0.46      (~vertical_3_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[393, 832])).
% 0.22/0.46  tff(834,assumption,(horizontal_4_2), introduced(assumption)).
% 0.22/0.46  tff(835,plain,
% 0.22/0.46      (~horizontal_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[10, 834])).
% 0.22/0.46  tff(836,plain,
% 0.22/0.46      (~vertical_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[317, 834])).
% 0.22/0.46  tff(837,plain,
% 0.22/0.46      (~vertical_4_1),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[356, 836, 5])).
% 0.22/0.46  tff(838,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[83, 837, 835, 4])).
% 0.22/0.46  tff(839,plain,((~horizontal_4_2) | vertical_3_1 | horizontal_5_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(840,plain,
% 0.22/0.46      (~horizontal_4_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[839, 833, 5])).
% 0.22/0.46  tff(841,assumption,(vertical_3_3), introduced(assumption)).
% 0.22/0.46  tff(842,plain,
% 0.22/0.46      (~vertical_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[312, 841])).
% 0.22/0.46  tff(843,plain,
% 0.22/0.46      (~horizontal_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[721, 841])).
% 0.22/0.46  tff(844,plain,
% 0.22/0.46      (~horizontal_2_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[795, 843])).
% 0.22/0.46  tff(845,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[678, 844, 842, 1])).
% 0.22/0.46  tff(846,plain,((~vertical_3_3) | horizontal_2_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(847,plain,
% 0.22/0.46      (~vertical_3_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[846, 827])).
% 0.22/0.46  tff(848,plain,
% 0.22/0.46      (vertical_4_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[308, 847, 3, 840])).
% 0.22/0.46  tff(849,plain,
% 0.22/0.46      (~horizontal_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[120, 848])).
% 0.22/0.46  tff(850,plain,
% 0.22/0.46      (horizontal_6_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[91, 848, 833])).
% 0.22/0.46  tff(851,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[811, 850, 849, 827])).
% 0.22/0.46  tff(852,plain,(horizontal_5_2 | horizontal_4_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(853,plain,
% 0.22/0.46      (horizontal_5_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[852, 3])).
% 0.22/0.46  tff(854,plain,
% 0.22/0.46      (~vertical_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[579, 853])).
% 0.22/0.46  tff(855,plain,
% 0.22/0.46      (~horizontal_5_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[513, 853])).
% 0.22/0.46  tff(856,plain,
% 0.22/0.46      (vertical_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[200, 809, 2, 807])).
% 0.22/0.46  tff(857,plain,
% 0.22/0.46      (~horizontal_3_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[202, 856])).
% 0.22/0.46  tff(858,plain,
% 0.22/0.46      (~horizontal_5_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[130, 809])).
% 0.22/0.46  tff(859,plain,
% 0.22/0.46      (vertical_4_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[153, 858])).
% 0.22/0.46  tff(860,plain,
% 0.22/0.46      (~vertical_3_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[208, 859])).
% 0.22/0.46  tff(861,plain,
% 0.22/0.46      (vertical_2_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[225, 860, 857])).
% 0.22/0.46  tff(862,plain,
% 0.22/0.46      (~horizontal_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[241, 861])).
% 0.22/0.46  tff(863,plain,
% 0.22/0.46      (~vertical_2_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[237, 856])).
% 0.22/0.46  tff(864,plain,
% 0.22/0.46      (~vertical_1_6),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[229, 861])).
% 0.22/0.46  tff(865,plain,
% 0.22/0.46      (horizontal_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[233, 864])).
% 0.22/0.46  tff(866,plain,
% 0.22/0.46      (~vertical_1_5),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[289, 865])).
% 0.22/0.46  tff(867,plain,
% 0.22/0.46      (horizontal_2_4),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[287, 866, 863, 862])).
% 0.22/0.46  tff(868,plain,
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% 0.22/0.46      inference(unit_resolution,[status(thm)],[423, 865])).
% 0.22/0.46  tff(869,plain,
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% 0.22/0.46      inference(unit_resolution,[status(thm)],[686, 868])).
% 0.22/0.46  tff(870,plain,
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% 0.22/0.46      inference(unit_resolution,[status(thm)],[425, 869, 867])).
% 0.22/0.46  tff(871,plain,((~horizontal_6_3) | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(872,plain,
% 0.22/0.46      (~horizontal_6_3),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[871, 855])).
% 0.22/0.46  tff(873,plain,
% 0.22/0.46      (horizontal_6_2),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[37, 872, 854])).
% 0.22/0.46  tff(874,plain,
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% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(875,axiom,((~horizontal_5_2) | (~horizontal_5_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover2_5_2')).
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% 0.22/0.47      ((~horizontal_5_1) | (~horizontal_5_2)),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[875, 874])).
% 0.22/0.47  tff(877,plain,
% 0.22/0.47      (~horizontal_5_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[876, 853])).
% 0.22/0.47  tff(878,plain,
% 0.22/0.47      (~vertical_4_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[15, 853])).
% 0.22/0.47  tff(879,plain,
% 0.22/0.47      (~vertical_3_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[846, 1])).
% 0.22/0.47  tff(880,plain,
% 0.22/0.47      (horizontal_4_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[308, 879, 3, 878])).
% 0.22/0.47  tff(881,plain,
% 0.22/0.47      (~horizontal_4_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[10, 880])).
% 0.22/0.47  tff(882,plain,
% 0.22/0.47      (vertical_4_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[83, 881, 4])).
% 0.22/0.47  tff(883,plain,
% 0.22/0.47      (~horizontal_6_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[811, 1, 855])).
% 0.22/0.47  tff(884,plain,
% 0.22/0.47      (horizontal_6_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[37, 883, 854])).
% 0.22/0.47  tff(885,plain,
% 0.22/0.47      (~horizontal_6_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[44, 884])).
% 0.22/0.47  tff(886,plain,
% 0.22/0.47      (vertical_5_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[46, 885])).
% 0.22/0.47  tff(887,plain,
% 0.22/0.47      ($false),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[69, 886, 882])).
% 0.22/0.47  tff(888,plain,(horizontal_2_2 | vertical_3_1 | horizontal_4_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(889,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[888, 4, 3])).
% 0.22/0.47  tff(890,plain,
% 0.22/0.47      (~vertical_2_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[826, 889])).
% 0.22/0.47  tff(891,plain,
% 0.22/0.47      (horizontal_3_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[467, 890, 3, 877, 873, 4])).
% 0.22/0.47  tff(892,plain,
% 0.22/0.47      (~horizontal_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[383, 889])).
% 0.22/0.47  tff(893,plain,
% 0.22/0.47      (vertical_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[379, 892])).
% 0.22/0.47  tff(894,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[367, 893, 891])).
% 0.22/0.47  tff(895,plain,(vertical_3_1 | horizontal_4_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(896,plain,
% 0.22/0.47      (vertical_3_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[895, 3])).
% 0.22/0.47  tff(897,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[760, 896])).
% 0.22/0.47  tff(898,plain,
% 0.22/0.47      (~vertical_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[393, 896])).
% 0.22/0.47  tff(899,plain,
% 0.22/0.47      (horizontal_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[379, 898])).
% 0.22/0.47  tff(900,plain,
% 0.22/0.47      (~horizontal_2_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[383, 899])).
% 0.22/0.47  tff(901,plain,
% 0.22/0.47      (~vertical_2_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[830, 899])).
% 0.22/0.47  tff(902,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[802, 901, 900, 878, 3, 897])).
% 0.22/0.47  tff(903,plain,(horizontal_4_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(904,plain,
% 0.22/0.47      (~vertical_3_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[494, 903])).
% 0.22/0.47  tff(905,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[595, 159, 903, 2])).
% 0.22/0.47  tff(906,plain,
% 0.22/0.47      (~horizontal_3_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[245, 905])).
% 0.22/0.47  tff(907,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[268, 906, 13, 904])).
% 0.22/0.47  tff(908,plain,
% 0.22/0.47      (((~vertical_2_4) | (~vertical_1_4)) <=> ((~vertical_1_4) | (~vertical_2_4))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(909,axiom,((~vertical_2_4) | (~vertical_1_4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_cover5_2_4')).
% 0.22/0.47  tff(910,plain,
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% 0.22/0.47      inference(modus_ponens,[status(thm)],[909, 908])).
% 0.22/0.47  tff(911,plain,
% 0.22/0.47      (~vertical_1_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[910, 907])).
% 0.22/0.47  tff(912,plain,
% 0.22/0.47      (horizontal_1_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[686, 911])).
% 0.22/0.47  tff(913,plain,
% 0.22/0.47      (~horizontal_1_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[423, 912])).
% 0.22/0.47  tff(914,plain,
% 0.22/0.47      (~horizontal_3_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[202, 905])).
% 0.22/0.47  tff(915,plain,
% 0.22/0.47      (~vertical_4_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[471, 903])).
% 0.22/0.47  tff(916,plain,
% 0.22/0.47      (horizontal_5_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[179, 159, 915, 2])).
% 0.22/0.47  tff(917,plain,
% 0.22/0.47      (~horizontal_5_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[476, 916])).
% 0.22/0.47  tff(918,plain,
% 0.22/0.47      (vertical_4_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[153, 917])).
% 0.22/0.47  tff(919,plain,
% 0.22/0.47      (~vertical_3_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[208, 918])).
% 0.22/0.47  tff(920,plain,
% 0.22/0.47      (vertical_2_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[225, 919, 914])).
% 0.22/0.47  tff(921,plain,
% 0.22/0.47      (~vertical_1_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[229, 920])).
% 0.22/0.47  tff(922,plain,
% 0.22/0.47      ($false),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[233, 921, 913])).
% 0.22/0.47  tff(923,plain,(vertical_5_4 | horizontal_3_3 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(924,plain,
% 0.22/0.47      (vertical_5_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[923, 13, 2])).
% 0.22/0.47  tff(925,plain,
% 0.22/0.47      (~horizontal_6_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[627, 924])).
% 0.22/0.47  tff(926,plain,
% 0.22/0.47      (vertical_5_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[118, 925])).
% 0.22/0.47  tff(927,plain,
% 0.22/0.47      (~vertical_4_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[127, 926])).
% 0.22/0.47  tff(928,plain,
% 0.22/0.47      (~horizontal_4_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[484, 903])).
% 0.22/0.47  tff(929,plain,
% 0.22/0.47      (~horizontal_5_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[130, 926])).
% 0.22/0.47  tff(930,plain,
% 0.22/0.47      (vertical_4_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[153, 929])).
% 0.22/0.47  tff(931,plain,
% 0.22/0.47      (~horizontal_4_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[157, 930])).
% 0.22/0.47  tff(932,plain,
% 0.22/0.47      (vertical_3_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[198, 931, 928, 927])).
% 0.22/0.47  tff(933,plain,
% 0.22/0.47      (~horizontal_3_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[245, 932])).
% 0.22/0.47  tff(934,plain,
% 0.22/0.47      (vertical_2_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[268, 933, 13, 904])).
% 0.22/0.47  tff(935,plain,
% 0.22/0.47      (~horizontal_2_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[270, 934])).
% 0.22/0.47  tff(936,plain,
% 0.22/0.47      (~vertical_2_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[237, 932])).
% 0.22/0.47  tff(937,plain,
% 0.22/0.47      (~vertical_3_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[208, 930])).
% 0.22/0.47  tff(938,plain,
% 0.22/0.47      (~horizontal_3_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[202, 932])).
% 0.22/0.47  tff(939,plain,
% 0.22/0.47      (vertical_2_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[225, 938, 937])).
% 0.22/0.47  tff(940,plain,
% 0.22/0.47      (~horizontal_2_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[241, 939])).
% 0.22/0.47  tff(941,plain,
% 0.22/0.47      (vertical_1_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[287, 940, 936, 935])).
% 0.22/0.47  tff(942,plain,
% 0.22/0.47      (~vertical_1_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[229, 939])).
% 0.22/0.47  tff(943,plain,
% 0.22/0.47      (horizontal_1_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[233, 942])).
% 0.22/0.47  tff(944,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[289, 943, 941])).
% 0.22/0.47  tff(945,plain,(horizontal_3_3 | horizontal_5_3), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(946,plain,
% 0.22/0.47      (horizontal_3_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[945, 2])).
% 0.22/0.47  tff(947,plain,
% 0.22/0.47      (~vertical_2_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[419, 946])).
% 0.22/0.47  tff(948,plain,
% 0.22/0.47      (horizontal_2_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[678, 947, 1])).
% 0.22/0.47  tff(949,plain,
% 0.22/0.47      (~vertical_1_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[680, 948])).
% 0.22/0.47  tff(950,plain,
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% 0.22/0.47      inference(unit_resolution,[status(thm)],[686, 949])).
% 0.22/0.47  tff(951,plain,
% 0.22/0.47      (~horizontal_1_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[423, 950])).
% 0.22/0.47  tff(952,plain,
% 0.22/0.47      (vertical_1_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[233, 951])).
% 0.22/0.47  tff(953,plain,
% 0.22/0.47      (~vertical_2_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[229, 952])).
% 0.22/0.47  tff(954,plain,
% 0.22/0.47      (~horizontal_2_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[413, 948])).
% 0.22/0.47  tff(955,plain,
% 0.22/0.47      (~vertical_1_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[693, 950])).
% 0.22/0.47  tff(956,plain,
% 0.22/0.47      (~horizontal_2_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[696, 952])).
% 0.22/0.47  tff(957,plain,
% 0.22/0.47      (vertical_2_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[287, 956, 955, 954])).
% 0.22/0.47  tff(958,plain,
% 0.22/0.47      (~horizontal_3_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[699, 957])).
% 0.22/0.47  tff(959,plain,
% 0.22/0.47      (vertical_3_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[225, 958, 953])).
% 0.22/0.47  tff(960,plain,
% 0.22/0.47      (~vertical_4_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[208, 959])).
% 0.22/0.47  tff(961,plain,
% 0.22/0.47      (horizontal_5_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[153, 960])).
% 0.22/0.47  tff(962,plain,
% 0.22/0.47      (~vertical_3_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[237, 957])).
% 0.22/0.47  tff(963,plain,
% 0.22/0.47      (vertical_5_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[595, 962, 903, 2])).
% 0.22/0.47  tff(964,plain,
% 0.22/0.47      (~horizontal_6_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[627, 963])).
% 0.22/0.47  tff(965,plain,
% 0.22/0.47      (vertical_5_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[118, 964])).
% 0.22/0.47  tff(966,plain,
% 0.22/0.47      ($false),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[130, 965, 961])).
% 0.22/0.47  tff(967,plain,(horizontal_5_3 | horizontal_2_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(968,plain,
% 0.22/0.47      (horizontal_5_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[967, 1])).
% 0.22/0.47  tff(969,plain,
% 0.22/0.47      (~horizontal_5_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[513, 968])).
% 0.22/0.47  tff(970,plain,
% 0.22/0.47      (~vertical_5_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[584, 968])).
% 0.22/0.47  tff(971,plain,
% 0.22/0.47      (vertical_3_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[198, 158, 928, 128])).
% 0.22/0.47  tff(972,plain,
% 0.22/0.47      (~horizontal_3_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[202, 971])).
% 0.22/0.47  tff(973,plain,
% 0.22/0.47      (vertical_2_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[225, 972, 403])).
% 0.22/0.47  tff(974,plain,
% 0.22/0.47      (~horizontal_2_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[241, 973])).
% 0.22/0.47  tff(975,plain,
% 0.22/0.47      (~vertical_2_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[237, 971])).
% 0.22/0.47  tff(976,plain,
% 0.22/0.47      (~vertical_1_6),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[229, 973])).
% 0.22/0.47  tff(977,plain,
% 0.22/0.47      (horizontal_1_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[233, 976])).
% 0.22/0.47  tff(978,plain,
% 0.22/0.47      (~vertical_1_5),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[289, 977])).
% 0.22/0.47  tff(979,plain,
% 0.22/0.47      (horizontal_2_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[287, 978, 975, 974])).
% 0.22/0.47  tff(980,plain,
% 0.22/0.47      (~horizontal_1_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[423, 977])).
% 0.22/0.47  tff(981,plain,
% 0.22/0.47      (vertical_1_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[686, 980])).
% 0.22/0.47  tff(982,plain,
% 0.22/0.47      ($false),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[425, 981, 979])).
% 0.22/0.47  tff(983,plain,(~vertical_5_5), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(984,plain,
% 0.22/0.47      (horizontal_6_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[118, 983])).
% 0.22/0.47  tff(985,plain,
% 0.22/0.47      (~horizontal_6_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[95, 984])).
% 0.22/0.47  tff(986,plain,
% 0.22/0.47      (vertical_5_3 | horizontal_6_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[37, 985])).
% 0.22/0.47  tff(987,plain,
% 0.22/0.47      (horizontal_6_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[986, 970])).
% 0.22/0.47  tff(988,plain,
% 0.22/0.47      (vertical_4_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[816, 987, 969])).
% 0.22/0.47  tff(989,plain,
% 0.22/0.47      (~vertical_3_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[322, 988])).
% 0.22/0.47  tff(990,plain,
% 0.22/0.47      (vertical_3_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[89, 987, 969])).
% 0.22/0.47  tff(991,plain,
% 0.22/0.47      (~horizontal_3_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[760, 990])).
% 0.22/0.47  tff(992,plain,
% 0.22/0.47      (~vertical_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[393, 990])).
% 0.22/0.47  tff(993,plain,
% 0.22/0.47      (horizontal_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[379, 992])).
% 0.22/0.47  tff(994,plain,
% 0.22/0.47      (~vertical_2_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[830, 993])).
% 0.22/0.47  tff(995,plain,
% 0.22/0.47      (horizontal_3_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[339, 994, 991, 989])).
% 0.22/0.47  tff(996,plain,
% 0.22/0.47      (~vertical_2_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[765, 995])).
% 0.22/0.47  tff(997,plain,
% 0.22/0.47      (~horizontal_3_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[502, 995])).
% 0.22/0.47  tff(998,plain,
% 0.22/0.47      (~horizontal_2_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[795, 997])).
% 0.22/0.47  tff(999,plain,
% 0.22/0.47      ($false),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[678, 998, 996, 1])).
% 0.22/0.47  tff(1000,plain,(horizontal_2_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(1001,plain,
% 0.22/0.47      (~horizontal_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[383, 1000])).
% 0.22/0.47  tff(1002,plain,
% 0.22/0.47      (vertical_2_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[379, 1001])).
% 0.22/0.47  tff(1003,plain,
% 0.22/0.47      (~vertical_3_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[393, 1002])).
% 0.22/0.47  tff(1004,plain,
% 0.22/0.47      (~horizontal_3_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[367, 1002])).
% 0.22/0.47  tff(1005,plain,
% 0.22/0.47      (~vertical_2_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[826, 1000])).
% 0.22/0.47  tff(1006,assumption,(vertical_3_2), introduced(assumption)).
% 0.22/0.47  tff(1007,plain,
% 0.22/0.47      (~vertical_4_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[322, 1006])).
% 0.22/0.47  tff(1008,plain,
% 0.22/0.47      (~horizontal_4_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[361, 1006])).
% 0.22/0.47  tff(1009,plain,
% 0.22/0.47      (vertical_4_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[83, 1008, 1003])).
% 0.22/0.47  tff(1010,plain,
% 0.22/0.47      (horizontal_5_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[356, 1009, 1007])).
% 0.22/0.47  tff(1011,plain,
% 0.22/0.47      (~vertical_5_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[579, 1010])).
% 0.22/0.47  tff(1012,plain,
% 0.22/0.47      (~vertical_5_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[69, 1009])).
% 0.22/0.47  tff(1013,plain,
% 0.22/0.47      (horizontal_6_1),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[46, 1012])).
% 0.22/0.47  tff(1014,plain,
% 0.22/0.47      (~horizontal_6_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[44, 1013])).
% 0.22/0.47  tff(1015,plain,
% 0.22/0.47      ($false),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[986, 1014, 1011])).
% 0.22/0.47  tff(1016,plain,(~vertical_3_2), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47  tff(1017,plain,
% 0.22/0.47      (horizontal_3_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[339, 1016, 1005, 1004])).
% 0.22/0.47  tff(1018,plain,
% 0.22/0.47      (~horizontal_3_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[502, 1017])).
% 0.22/0.47  tff(1019,plain,
% 0.22/0.47      (~vertical_5_4),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[627, 984])).
% 0.22/0.47  tff(1020,plain,
% 0.22/0.47      (horizontal_3_3 | horizontal_5_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[923, 1019])).
% 0.22/0.47  tff(1021,plain,
% 0.22/0.47      (horizontal_5_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[1020, 1018])).
% 0.22/0.47  tff(1022,plain,
% 0.22/0.47      (~horizontal_5_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[513, 1021])).
% 0.22/0.47  tff(1023,plain,
% 0.22/0.47      (~vertical_5_3),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[584, 1021])).
% 0.22/0.47  tff(1024,plain,
% 0.22/0.47      (horizontal_6_2),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[986, 1023])).
% 0.22/0.47  tff(1025,plain,
% 0.22/0.47      ($false),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[89, 1024, 1022, 1003])).
% 0.22/0.47  % SZS output end Proof
%------------------------------------------------------------------------------