%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:01:33 PM UTC 2026
% Result : Unsatisfiable 0.77s 0.58s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 94
% Syntax : Number of clauses : 703 ( 32 unt; 249 nHn; 703 RR)
% Number of literals : 1925 ( 0 equ;1132 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 61 ( 60 usr; 61 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unique_cover2_1_5,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_1_5) ).
cnf(unique_cover2_6_2,negated_conjecture,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_6_2) ).
cnf(unique_cover5_2_6,negated_conjecture,
( ~ vertical_1_6
| ~ vertical_2_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_6) ).
cnf(covered_1_6,negated_conjecture,
( horizontal_1_5
| vertical_1_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_6) ).
cnf(unique_cover5_4_6,negated_conjecture,
( ~ vertical_3_6
| ~ vertical_4_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_6) ).
cnf(unique_cover5_5_1,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_5_1) ).
cnf(covered_6_1,negated_conjecture,
( vertical_5_1
| horizontal_6_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_6_1) ).
cnf(unique_cover2_6_4,negated_conjecture,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_6_4) ).
cnf(covered_3_6,negated_conjecture,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_6) ).
cnf(unique_cover6_2_6,negated_conjecture,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_6) ).
cnf(unique_cover1_1_5,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_5) ).
cnf(covered_6_3,negated_conjecture,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_6_3) ).
cnf(unique_cover4_1_5,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_1_5) ).
cnf(unique_cover1_5_1,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_5_1) ).
cnf(unique_cover2_1_3,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_1_3) ).
cnf(covered_1_4,negated_conjecture,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_4) ).
cnf(uncovered4_6_6,negated_conjecture,
~ vertical_5_6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered4_6_6) ).
cnf(uncovered1_1_1,negated_conjecture,
~ horizontal_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered1_1_1) ).
cnf(unique_cover4_2_6,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_6) ).
cnf(unique_cover5_3_1,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_1) ).
cnf(covered_4_1,negated_conjecture,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_1) ).
cnf(uncovered3_6_6,negated_conjecture,
~ horizontal_6_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_6_6) ).
cnf(unique_cover3_6_2,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_6_2) ).
cnf(covered_5_6,negated_conjecture,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_6) ).
cnf(covered_1_2,negated_conjecture,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_2) ).
cnf(unique_cover6_6_2,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_6_2) ).
cnf(covered_6_5,negated_conjecture,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_6_5) ).
cnf(uncovered2_1_1,negated_conjecture,
~ vertical_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_1) ).
cnf(unique_cover2_3_5,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_5) ).
cnf(unique_cover1_3_5,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_5) ).
cnf(unique_cover4_4_6,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_6) ).
cnf(covered_2_1,negated_conjecture,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_1) ).
cnf(unique_cover1_5_3,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_5_3) ).
cnf(unique_cover3_3_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_5) ).
cnf(unique_cover5_2_4,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_4) ).
cnf(covered_2_5,negated_conjecture,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_5) ).
cnf(unique_cover1_2_4,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_4) ).
cnf(unique_cover3_5_1,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_1) ).
cnf(unique_cover6_3_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_5) ).
cnf(unique_cover5_3_5,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_5) ).
cnf(unique_cover2_5_3,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_3) ).
cnf(unique_cover3_2_4,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_4) ).
cnf(unique_cover1_5_5,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_5_5) ).
cnf(covered_4_5,negated_conjecture,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_5) ).
cnf(unique_cover5_5_5,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_5_5) ).
cnf(unique_cover4_4_2,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_2) ).
cnf(covered_5_2,negated_conjecture,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_2) ).
cnf(unique_cover3_6_4,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_6_4) ).
cnf(unique_cover2_5_5,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_5) ).
cnf(unique_cover6_5_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_5) ).
cnf(unique_cover4_5_3,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_5_3) ).
cnf(unique_cover2_2_2,negated_conjecture,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_2) ).
cnf(covered_5_4,negated_conjecture,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_4) ).
cnf(unique_cover3_2_2,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_2) ).
cnf(unique_cover6_4_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_2) ).
cnf(unique_cover5_4_2,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_2) ).
cnf(unique_cover5_5_3,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_5_3) ).
cnf(unique_cover5_4_4,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_4) ).
cnf(unique_cover3_4_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_4) ).
cnf(unique_cover1_4_4,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_4) ).
cnf(unique_cover6_5_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_3) ).
cnf(unique_cover4_4_4,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_4) ).
cnf(unique_cover2_4_4,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_4) ).
cnf(unique_cover2_4_2,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_2) ).
cnf(unique_cover1_4_2,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_2) ).
cnf(unique_cover4_3_5,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_5) ).
cnf(unique_cover3_3_1,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_1) ).
cnf(unique_cover3_4_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_2) ).
cnf(covered_3_4,negated_conjecture,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_4) ).
cnf(unique_cover1_3_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_3) ).
cnf(covered_4_3,negated_conjecture,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_3) ).
cnf(covered_3_2,negated_conjecture,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_2) ).
cnf(unique_cover1_2_2,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_2) ).
cnf(unique_cover6_2_4,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_4) ).
cnf(unique_cover2_2_4,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_4) ).
cnf(unique_cover6_6_4,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_6_4) ).
cnf(unique_cover4_3_3,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_3) ).
cnf(unique_cover6_2_2,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_2) ).
cnf(unique_cover6_4_6,negated_conjecture,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_6) ).
cnf(unique_cover1_1_3,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_3) ).
cnf(unique_cover2_3_3,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_3) ).
cnf(unique_cover3_5_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_5) ).
cnf(unique_cover4_2_2,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_2) ).
cnf(unique_cover5_2_2,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_2) ).
cnf(covered_2_3,negated_conjecture,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_3) ).
cnf(unique_cover4_2_4,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_4) ).
cnf(unique_cover4_5_5,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_5_5) ).
cnf(unique_cover4_1_3,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_1_3) ).
cnf(unique_cover5_3_3,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_3) ).
cnf(unique_cover6_3_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_3) ).
cnf(unique_cover1_3_1,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_1) ).
cnf(unique_cover3_3_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_3) ).
cnf(unique_cover3_5_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_3) ).
cnf(unique_cover6_4_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_4) ).
cnf(c_0_94,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
inference(fof_simplification,[status(thm)],[unique_cover2_1_5]) ).
cnf(c_0_95,negated_conjecture,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
inference(fof_simplification,[status(thm)],[unique_cover2_6_2]) ).
cnf(c_0_96,negated_conjecture,
( ~ vertical_1_6
| ~ vertical_2_6 ),
inference(fof_simplification,[status(thm)],[unique_cover5_2_6]) ).
cnf(c_0_97,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
c_0_94 ).
cnf(c_0_98,negated_conjecture,
( horizontal_1_5
| vertical_1_6 ),
covered_1_6 ).
cnf(c_0_99,negated_conjecture,
( ~ vertical_3_6
| ~ vertical_4_6 ),
inference(fof_simplification,[status(thm)],[unique_cover5_4_6]) ).
cnf(c_0_100,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_1 ),
inference(fof_simplification,[status(thm)],[unique_cover5_5_1]) ).
cnf(c_0_101,negated_conjecture,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
c_0_95 ).
cnf(c_0_102,negated_conjecture,
( vertical_5_1
| horizontal_6_1 ),
covered_6_1 ).
cnf(c_0_103,negated_conjecture,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
inference(fof_simplification,[status(thm)],[unique_cover2_6_4]) ).
cnf(c_0_104,negated_conjecture,
( ~ vertical_1_6
| ~ vertical_2_6 ),
c_0_96 ).
cnf(c_0_105,negated_conjecture,
( ~ horizontal_1_4
| vertical_1_6 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( ~ vertical_3_6
| ~ vertical_4_6 ),
c_0_99 ).
cnf(c_0_107,negated_conjecture,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
covered_3_6 ).
cnf(c_0_108,negated_conjecture,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
inference(fof_simplification,[status(thm)],[unique_cover6_2_6]) ).
cnf(c_0_109,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
inference(fof_simplification,[status(thm)],[unique_cover1_1_5]) ).
cnf(c_0_110,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_1 ),
c_0_100 ).
cnf(c_0_111,negated_conjecture,
( ~ horizontal_6_2
| vertical_5_1 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_112,negated_conjecture,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
c_0_103 ).
cnf(c_0_113,negated_conjecture,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
covered_6_3 ).
cnf(c_0_114,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_2_6 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_115,negated_conjecture,
( ~ vertical_4_6
| vertical_2_6
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
c_0_108 ).
cnf(c_0_117,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
inference(fof_simplification,[status(thm)],[unique_cover4_1_5]) ).
cnf(c_0_118,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
c_0_109 ).
cnf(c_0_119,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_6_2 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_120,negated_conjecture,
( ~ horizontal_6_4
| vertical_5_3
| horizontal_6_2 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
inference(fof_simplification,[status(thm)],[unique_cover1_5_1]) ).
cnf(c_0_122,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
inference(fof_simplification,[status(thm)],[unique_cover2_1_3]) ).
cnf(c_0_123,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_4_6
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_124,negated_conjecture,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
covered_1_4 ).
cnf(c_0_125,negated_conjecture,
~ vertical_5_6,
inference(fof_simplification,[status(thm)],[uncovered4_6_6]) ).
cnf(c_0_126,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_2_5 ),
inference(spm,[status(thm)],[c_0_116,c_0_105]) ).
cnf(c_0_127,negated_conjecture,
~ horizontal_1_1,
inference(fof_simplification,[status(thm)],[uncovered1_1_1]) ).
cnf(c_0_128,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
c_0_117 ).
cnf(c_0_129,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
inference(fof_simplification,[status(thm)],[unique_cover4_2_6]) ).
cnf(c_0_130,negated_conjecture,
( ~ vertical_1_5
| vertical_1_6 ),
inference(spm,[status(thm)],[c_0_118,c_0_98]) ).
cnf(c_0_131,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_3_1 ),
inference(fof_simplification,[status(thm)],[unique_cover5_3_1]) ).
cnf(c_0_132,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_6_4
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_133,negated_conjecture,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
covered_4_1 ).
cnf(c_0_134,negated_conjecture,
~ horizontal_6_5,
inference(fof_simplification,[status(thm)],[uncovered3_6_6]) ).
cnf(c_0_135,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
inference(fof_simplification,[status(thm)],[unique_cover3_6_2]) ).
cnf(c_0_136,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
c_0_121 ).
cnf(c_0_137,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
c_0_122 ).
cnf(c_0_138,negated_conjecture,
( ~ vertical_4_6
| horizontal_1_3
| vertical_1_4
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_139,negated_conjecture,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
covered_5_6 ).
cnf(c_0_140,negated_conjecture,
~ vertical_5_6,
c_0_125 ).
cnf(c_0_141,negated_conjecture,
( ~ horizontal_2_5
| horizontal_1_3
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_124]) ).
cnf(c_0_142,negated_conjecture,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
covered_1_2 ).
cnf(c_0_143,negated_conjecture,
~ horizontal_1_1,
c_0_127 ).
cnf(c_0_144,negated_conjecture,
( ~ vertical_1_5
| horizontal_1_3
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_128,c_0_124]) ).
cnf(c_0_145,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
inference(fof_simplification,[status(thm)],[unique_cover6_6_2]) ).
cnf(c_0_146,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
c_0_129 ).
cnf(c_0_147,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_2_6 ),
inference(spm,[status(thm)],[c_0_104,c_0_130]) ).
cnf(c_0_148,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_3_1 ),
c_0_131 ).
cnf(c_0_149,negated_conjecture,
( ~ horizontal_6_4
| vertical_3_1
| horizontal_4_1
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_150,negated_conjecture,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
covered_6_5 ).
cnf(c_0_151,negated_conjecture,
~ horizontal_6_5,
c_0_134 ).
cnf(c_0_152,negated_conjecture,
~ vertical_1_1,
inference(fof_simplification,[status(thm)],[uncovered2_1_1]) ).
cnf(c_0_153,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
c_0_135 ).
cnf(c_0_154,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_6_2 ),
inference(spm,[status(thm)],[c_0_136,c_0_111]) ).
cnf(c_0_155,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_4_6
| vertical_1_4
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_156,negated_conjecture,
( vertical_4_6
| horizontal_5_5 ),
inference(sr,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_157,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_2_5
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_137,c_0_141]) ).
cnf(c_0_158,negated_conjecture,
( horizontal_1_2
| vertical_1_2 ),
inference(sr,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_159,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_5
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_137,c_0_144]) ).
cnf(c_0_160,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
c_0_145 ).
cnf(c_0_161,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
inference(fof_simplification,[status(thm)],[unique_cover2_3_5]) ).
cnf(c_0_162,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_4_6
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_146,c_0_115]) ).
cnf(c_0_163,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_4_6
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_147,c_0_115]) ).
cnf(c_0_164,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
inference(fof_simplification,[status(thm)],[unique_cover1_3_5]) ).
cnf(c_0_165,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
inference(fof_simplification,[status(thm)],[unique_cover4_4_6]) ).
cnf(c_0_166,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_6_4
| horizontal_4_1
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_167,negated_conjecture,
( vertical_5_5
| horizontal_6_4 ),
inference(sr,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_168,negated_conjecture,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
covered_2_1 ).
cnf(c_0_169,negated_conjecture,
~ vertical_1_1,
c_0_152 ).
cnf(c_0_170,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
inference(fof_simplification,[status(thm)],[unique_cover1_5_3]) ).
cnf(c_0_171,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_4
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_153,c_0_120]) ).
cnf(c_0_172,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_6_4
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_154,c_0_120]) ).
cnf(c_0_173,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
inference(fof_simplification,[status(thm)],[unique_cover3_3_5]) ).
cnf(c_0_174,negated_conjecture,
( ~ horizontal_1_2
| vertical_1_4
| horizontal_3_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_175,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_4 ),
inference(fof_simplification,[status(thm)],[unique_cover5_2_4]) ).
cnf(c_0_176,negated_conjecture,
( ~ horizontal_2_5
| vertical_1_2
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_177,negated_conjecture,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
covered_2_5 ).
cnf(c_0_178,negated_conjecture,
( ~ vertical_1_5
| vertical_1_2
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_159,c_0_158]) ).
cnf(c_0_179,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
inference(fof_simplification,[status(thm)],[unique_cover1_2_4]) ).
cnf(c_0_180,negated_conjecture,
( ~ vertical_5_2
| vertical_5_1 ),
inference(spm,[status(thm)],[c_0_160,c_0_102]) ).
cnf(c_0_181,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
inference(fof_simplification,[status(thm)],[unique_cover3_5_1]) ).
cnf(c_0_182,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
c_0_161 ).
cnf(c_0_183,negated_conjecture,
( ~ horizontal_2_5
| horizontal_3_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_162,c_0_156]) ).
cnf(c_0_184,negated_conjecture,
( ~ vertical_1_5
| horizontal_3_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_163,c_0_156]) ).
cnf(c_0_185,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
inference(fof_simplification,[status(thm)],[unique_cover6_3_5]) ).
cnf(c_0_186,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
c_0_164 ).
cnf(c_0_187,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_3_5 ),
inference(fof_simplification,[status(thm)],[unique_cover5_3_5]) ).
cnf(c_0_188,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
c_0_165 ).
cnf(c_0_189,negated_conjecture,
( ~ vertical_2_1
| horizontal_4_1
| vertical_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_190,negated_conjecture,
( horizontal_2_1
| vertical_2_1 ),
inference(sr,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_191,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
c_0_170 ).
cnf(c_0_192,negated_conjecture,
( ~ vertical_5_2
| vertical_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_171,c_0_167]) ).
cnf(c_0_193,negated_conjecture,
( ~ horizontal_5_1
| vertical_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_172,c_0_167]) ).
cnf(c_0_194,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
inference(fof_simplification,[status(thm)],[unique_cover2_5_3]) ).
cnf(c_0_195,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
c_0_173 ).
cnf(c_0_196,negated_conjecture,
( vertical_1_2
| vertical_1_4
| horizontal_3_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_174,c_0_158]) ).
cnf(c_0_197,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_4 ),
c_0_175 ).
cnf(c_0_198,negated_conjecture,
( vertical_1_2
| vertical_1_4
| horizontal_2_4
| vertical_2_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_199,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
c_0_179 ).
cnf(c_0_200,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_2 ),
inference(spm,[status(thm)],[c_0_110,c_0_180]) ).
cnf(c_0_201,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
c_0_181 ).
cnf(c_0_202,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
inference(fof_simplification,[status(thm)],[unique_cover3_2_4]) ).
cnf(c_0_203,negated_conjecture,
( ~ horizontal_2_5
| ~ horizontal_3_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_204,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_3_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_182,c_0_184]) ).
cnf(c_0_205,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
c_0_185 ).
cnf(c_0_206,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_3_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_186,c_0_183]) ).
cnf(c_0_207,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_3_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_186,c_0_184]) ).
cnf(c_0_208,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_3_5 ),
c_0_187 ).
cnf(c_0_209,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
inference(fof_simplification,[status(thm)],[unique_cover1_5_5]) ).
cnf(c_0_210,negated_conjecture,
( ~ horizontal_4_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_188,c_0_156]) ).
cnf(c_0_211,negated_conjecture,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
covered_4_5 ).
cnf(c_0_212,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_5_5 ),
inference(fof_simplification,[status(thm)],[unique_cover5_5_5]) ).
cnf(c_0_213,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
inference(fof_simplification,[status(thm)],[unique_cover4_4_2]) ).
cnf(c_0_214,negated_conjecture,
( horizontal_2_1
| horizontal_4_1
| vertical_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_215,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_216,negated_conjecture,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
covered_5_2 ).
cnf(c_0_217,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_191,c_0_193]) ).
cnf(c_0_218,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
c_0_194 ).
cnf(c_0_219,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
inference(fof_simplification,[status(thm)],[unique_cover3_6_4]) ).
cnf(c_0_220,negated_conjecture,
( ~ vertical_2_5
| vertical_1_2
| vertical_1_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_221,negated_conjecture,
( ~ vertical_2_4
| vertical_1_2
| vertical_2_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_222,negated_conjecture,
( ~ vertical_5_2
| vertical_3_1
| horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_200,c_0_133]) ).
cnf(c_0_223,negated_conjecture,
( ~ horizontal_5_1
| vertical_3_1
| horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_201,c_0_133]) ).
cnf(c_0_224,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
c_0_202 ).
cnf(c_0_225,negated_conjecture,
( ~ horizontal_3_4
| vertical_1_2
| vertical_1_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_182,c_0_196]) ).
cnf(c_0_226,negated_conjecture,
( ~ horizontal_3_4
| horizontal_2_4
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_177]),c_0_204]),c_0_205]) ).
cnf(c_0_227,negated_conjecture,
( ~ vertical_3_5
| vertical_1_2
| vertical_1_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_186,c_0_196]) ).
cnf(c_0_228,negated_conjecture,
( ~ vertical_3_5
| horizontal_2_4
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_177]),c_0_207]),c_0_208]) ).
cnf(c_0_229,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
c_0_209 ).
cnf(c_0_230,negated_conjecture,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_231,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_5_5 ),
c_0_212 ).
cnf(c_0_232,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
c_0_213 ).
cnf(c_0_233,negated_conjecture,
( ~ horizontal_5_3
| horizontal_2_1
| horizontal_4_1
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_191,c_0_214]) ).
cnf(c_0_234,negated_conjecture,
( ~ horizontal_5_3
| vertical_4_2
| vertical_5_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]),c_0_218]) ).
cnf(c_0_235,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
c_0_219 ).
cnf(c_0_236,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
inference(fof_simplification,[status(thm)],[unique_cover2_5_5]) ).
cnf(c_0_237,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
inference(fof_simplification,[status(thm)],[unique_cover6_5_5]) ).
cnf(c_0_238,negated_conjecture,
( ~ vertical_2_4
| vertical_1_2
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_220]),c_0_221]) ).
cnf(c_0_239,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
inference(fof_simplification,[status(thm)],[unique_cover4_5_3]) ).
cnf(c_0_240,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_5_2
| horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_148,c_0_222]) ).
cnf(c_0_241,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_5_1
| horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_148,c_0_223]) ).
cnf(c_0_242,negated_conjecture,
( ~ horizontal_3_4
| vertical_1_2
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).
cnf(c_0_243,negated_conjecture,
( ~ vertical_3_5
| vertical_1_2
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_227]),c_0_228]) ).
cnf(c_0_244,negated_conjecture,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
inference(fof_simplification,[status(thm)],[unique_cover2_2_2]) ).
cnf(c_0_245,negated_conjecture,
( ~ vertical_5_5
| vertical_3_5
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_246,negated_conjecture,
( ~ horizontal_5_3
| horizontal_2_1
| vertical_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).
cnf(c_0_247,negated_conjecture,
( ~ vertical_5_4
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_235,c_0_167]) ).
cnf(c_0_248,negated_conjecture,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
covered_5_4 ).
cnf(c_0_249,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
c_0_236 ).
cnf(c_0_250,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
c_0_237 ).
cnf(c_0_251,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_5_5
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_229,c_0_238]) ).
cnf(c_0_252,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
inference(fof_simplification,[status(thm)],[unique_cover3_2_2]) ).
cnf(c_0_253,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
inference(fof_simplification,[status(thm)],[unique_cover6_4_2]) ).
cnf(c_0_254,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
c_0_239 ).
cnf(c_0_255,negated_conjecture,
( ~ vertical_5_2
| horizontal_2_1
| horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_240,c_0_190]) ).
cnf(c_0_256,negated_conjecture,
( ~ horizontal_5_1
| horizontal_2_1
| horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_241,c_0_190]) ).
cnf(c_0_257,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_4_2 ),
inference(fof_simplification,[status(thm)],[unique_cover5_4_2]) ).
cnf(c_0_258,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_5_5
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_229,c_0_242]) ).
cnf(c_0_259,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_5_5
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_229,c_0_243]) ).
cnf(c_0_260,negated_conjecture,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
c_0_244 ).
cnf(c_0_261,negated_conjecture,
( ~ horizontal_5_3
| horizontal_2_1
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_262,negated_conjecture,
( vertical_4_4
| horizontal_5_3
| horizontal_5_4
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_263,negated_conjecture,
( ~ horizontal_5_4
| vertical_3_5
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_230]),c_0_250]) ).
cnf(c_0_264,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_5_4
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_249,c_0_238]) ).
cnf(c_0_265,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_5_3
| vertical_1_2
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_251,c_0_246]) ).
cnf(c_0_266,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
c_0_252 ).
cnf(c_0_267,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
c_0_253 ).
cnf(c_0_268,negated_conjecture,
( ~ horizontal_5_2
| horizontal_2_1
| horizontal_4_1
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_254,c_0_214]) ).
cnf(c_0_269,negated_conjecture,
( horizontal_2_1
| horizontal_4_1
| vertical_4_2
| horizontal_5_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_216]),c_0_256]) ).
cnf(c_0_270,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_4_2 ),
c_0_257 ).
cnf(c_0_271,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_3 ),
inference(fof_simplification,[status(thm)],[unique_cover5_5_3]) ).
cnf(c_0_272,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_4
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_249,c_0_242]) ).
cnf(c_0_273,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_3
| vertical_1_2
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_258,c_0_246]) ).
cnf(c_0_274,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_4
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_249,c_0_243]) ).
cnf(c_0_275,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_3
| vertical_1_2
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_259,c_0_246]) ).
cnf(c_0_276,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_4 ),
inference(fof_simplification,[status(thm)],[unique_cover5_4_4]) ).
cnf(c_0_277,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_5_3
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_278,negated_conjecture,
( vertical_3_5
| horizontal_4_4
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_262]),c_0_263]) ).
cnf(c_0_279,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
inference(fof_simplification,[status(thm)],[unique_cover3_4_4]) ).
cnf(c_0_280,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
inference(fof_simplification,[status(thm)],[unique_cover1_4_4]) ).
cnf(c_0_281,negated_conjecture,
( ~ vertical_2_4
| vertical_1_2
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_262]),c_0_264]) ).
cnf(c_0_282,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_265]),c_0_266]) ).
cnf(c_0_283,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_5_2
| horizontal_2_1
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_284,negated_conjecture,
( ~ vertical_3_2
| horizontal_2_1
| horizontal_5_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_269]),c_0_270]) ).
cnf(c_0_285,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_3 ),
c_0_271 ).
cnf(c_0_286,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
inference(fof_simplification,[status(thm)],[unique_cover6_5_3]) ).
cnf(c_0_287,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
inference(fof_simplification,[status(thm)],[unique_cover4_4_4]) ).
cnf(c_0_288,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
inference(fof_simplification,[status(thm)],[unique_cover2_4_4]) ).
cnf(c_0_289,negated_conjecture,
( ~ horizontal_3_4
| vertical_1_2
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_262]),c_0_272]) ).
cnf(c_0_290,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_3_4
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_273]),c_0_266]) ).
cnf(c_0_291,negated_conjecture,
( ~ vertical_3_5
| vertical_1_2
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_262]),c_0_274]) ).
cnf(c_0_292,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_5
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_275]),c_0_266]) ).
cnf(c_0_293,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_4 ),
c_0_276 ).
cnf(c_0_294,negated_conjecture,
( ~ horizontal_2_2
| vertical_3_5
| horizontal_4_4
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_295,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
c_0_279 ).
cnf(c_0_296,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
c_0_280 ).
cnf(c_0_297,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_281]),c_0_282]) ).
cnf(c_0_298,negated_conjecture,
( ~ vertical_3_2
| horizontal_2_1
| vertical_3_5
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_283]),c_0_284]) ).
cnf(c_0_299,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
inference(fof_simplification,[status(thm)],[unique_cover2_4_2]) ).
cnf(c_0_300,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
inference(fof_simplification,[status(thm)],[unique_cover1_4_2]) ).
cnf(c_0_301,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_2
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_285,c_0_192]) ).
cnf(c_0_302,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_1
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_285,c_0_193]) ).
cnf(c_0_303,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
c_0_286 ).
cnf(c_0_304,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
c_0_287 ).
cnf(c_0_305,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
c_0_288 ).
cnf(c_0_306,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_3_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_289]),c_0_290]) ).
cnf(c_0_307,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
inference(fof_simplification,[status(thm)],[unique_cover4_3_5]) ).
cnf(c_0_308,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_5
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_291]),c_0_292]) ).
cnf(c_0_309,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_4
| vertical_3_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]) ).
cnf(c_0_310,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_311,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_2
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_260,c_0_298]) ).
cnf(c_0_312,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
inference(fof_simplification,[status(thm)],[unique_cover3_3_1]) ).
cnf(c_0_313,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
c_0_299 ).
cnf(c_0_314,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
c_0_300 ).
cnf(c_0_315,negated_conjecture,
( ~ vertical_4_3
| horizontal_2_1
| horizontal_4_1
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_285,c_0_214]) ).
cnf(c_0_316,negated_conjecture,
( ~ vertical_4_3
| vertical_4_2
| vertical_5_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_216]),c_0_302]),c_0_303]) ).
cnf(c_0_317,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_2
| horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_260,c_0_284]) ).
cnf(c_0_318,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference(fof_simplification,[status(thm)],[unique_cover3_4_2]) ).
cnf(c_0_319,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_4_3
| vertical_3_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_294]),c_0_305]) ).
cnf(c_0_320,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_3_4
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_296,c_0_306]) ).
cnf(c_0_321,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
c_0_307 ).
cnf(c_0_322,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_308]),c_0_309]) ).
cnf(c_0_323,negated_conjecture,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
covered_3_4 ).
cnf(c_0_324,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ vertical_3_2
| vertical_3_5 ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_325,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| vertical_2_5 ),
inference(spm,[status(thm)],[c_0_266,c_0_221]) ).
cnf(c_0_326,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
c_0_312 ).
cnf(c_0_327,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_5_2
| horizontal_2_1
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_313,c_0_268]) ).
cnf(c_0_328,negated_conjecture,
( ~ horizontal_4_2
| horizontal_2_1
| horizontal_5_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_269]),c_0_314]) ).
cnf(c_0_329,negated_conjecture,
( ~ vertical_4_3
| horizontal_2_1
| vertical_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_315]),c_0_316]) ).
cnf(c_0_330,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
inference(fof_simplification,[status(thm)],[unique_cover1_3_3]) ).
cnf(c_0_331,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_2
| ~ vertical_4_3 ),
inference(spm,[status(thm)],[c_0_303,c_0_317]) ).
cnf(c_0_332,negated_conjecture,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
covered_4_3 ).
cnf(c_0_333,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
c_0_318 ).
cnf(c_0_334,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_308]),c_0_319]) ).
cnf(c_0_335,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_2
| ~ horizontal_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_311]),c_0_321]) ).
cnf(c_0_336,negated_conjecture,
( ~ horizontal_2_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_337,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_324]),c_0_325]) ).
cnf(c_0_338,negated_conjecture,
( ~ horizontal_3_1
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_326,c_0_190]) ).
cnf(c_0_339,negated_conjecture,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
covered_3_2 ).
cnf(c_0_340,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
inference(fof_simplification,[status(thm)],[unique_cover1_2_2]) ).
cnf(c_0_341,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference(fof_simplification,[status(thm)],[unique_cover6_2_4]) ).
cnf(c_0_342,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
inference(fof_simplification,[status(thm)],[unique_cover2_2_4]) ).
cnf(c_0_343,negated_conjecture,
( ~ horizontal_4_2
| horizontal_2_1
| vertical_3_5
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_327]),c_0_328]) ).
cnf(c_0_344,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_4_3
| vertical_1_2
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_251,c_0_329]) ).
cnf(c_0_345,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_4_2
| vertical_1_2
| horizontal_2_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_327]),c_0_328]) ).
cnf(c_0_346,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
c_0_330 ).
cnf(c_0_347,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_2
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]),c_0_334]) ).
cnf(c_0_348,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_2
| horizontal_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]) ).
cnf(c_0_349,negated_conjecture,
( horizontal_2_1
| vertical_2_2
| horizontal_3_2
| vertical_3_2 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_350,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
c_0_340 ).
cnf(c_0_351,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
inference(fof_simplification,[status(thm)],[unique_cover6_6_4]) ).
cnf(c_0_352,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
c_0_341 ).
cnf(c_0_353,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
c_0_342 ).
cnf(c_0_354,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_4_3
| vertical_1_2
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_258,c_0_329]) ).
cnf(c_0_355,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_4_2
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_260,c_0_343]) ).
cnf(c_0_356,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
inference(fof_simplification,[status(thm)],[unique_cover4_3_3]) ).
cnf(c_0_357,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_344]),c_0_266]) ).
cnf(c_0_358,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_345]),c_0_266]) ).
cnf(c_0_359,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]) ).
cnf(c_0_360,negated_conjecture,
( ~ horizontal_2_2
| horizontal_3_2
| vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_349]),c_0_350]) ).
cnf(c_0_361,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
c_0_351 ).
cnf(c_0_362,negated_conjecture,
( ~ horizontal_2_3
| vertical_1_2
| vertical_2_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_198]),c_0_353]) ).
cnf(c_0_363,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
inference(fof_simplification,[status(thm)],[unique_cover6_2_2]) ).
cnf(c_0_364,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_5_5
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_229,c_0_228]) ).
cnf(c_0_365,negated_conjecture,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
inference(fof_simplification,[status(thm)],[unique_cover6_4_6]) ).
cnf(c_0_366,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
inference(fof_simplification,[status(thm)],[unique_cover1_1_3]) ).
cnf(c_0_367,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_3_4
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_354]),c_0_266]) ).
cnf(c_0_368,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_3_4
| ~ horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_355]),c_0_321]) ).
cnf(c_0_369,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
c_0_356 ).
cnf(c_0_370,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_332]),c_0_358]),c_0_334]) ).
cnf(c_0_371,negated_conjecture,
( ~ horizontal_2_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_372,negated_conjecture,
( ~ vertical_5_4
| vertical_5_3
| horizontal_6_2 ),
inference(spm,[status(thm)],[c_0_361,c_0_113]) ).
cnf(c_0_373,negated_conjecture,
( ~ horizontal_2_3
| vertical_1_2
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_220]),c_0_362]) ).
cnf(c_0_374,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
c_0_363 ).
cnf(c_0_375,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_3
| horizontal_2_1
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_364,c_0_246]) ).
cnf(c_0_376,negated_conjecture,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
c_0_365 ).
cnf(c_0_377,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
c_0_366 ).
cnf(c_0_378,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_3_4
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_332]),c_0_368]),c_0_334]) ).
cnf(c_0_379,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_371]) ).
cnf(c_0_380,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_4
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_119,c_0_372]) ).
cnf(c_0_381,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_5_5
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_229,c_0_373]) ).
cnf(c_0_382,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_3_5
| ~ horizontal_5_3
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_383,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_4
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_249,c_0_228]) ).
cnf(c_0_384,negated_conjecture,
( ~ horizontal_4_5
| vertical_2_6
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_376,c_0_107]) ).
cnf(c_0_385,negated_conjecture,
( ~ horizontal_5_3
| vertical_3_5
| vertical_4_2
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_245,c_0_234]) ).
cnf(c_0_386,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_4_6
| vertical_1_4
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_377,c_0_138]) ).
cnf(c_0_387,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_2_5
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_377,c_0_141]) ).
cnf(c_0_388,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_1_5
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_377,c_0_144]) ).
cnf(c_0_389,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
inference(fof_simplification,[status(thm)],[unique_cover2_3_3]) ).
cnf(c_0_390,negated_conjecture,
( ~ horizontal_2_2
| horizontal_3_3
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_336]),c_0_379]) ).
cnf(c_0_391,negated_conjecture,
( ~ vertical_5_4
| vertical_3_1
| horizontal_4_1
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_380,c_0_133]) ).
cnf(c_0_392,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_3_2
| horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_374,c_0_284]) ).
cnf(c_0_393,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_5_3
| vertical_1_2
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_381,c_0_234]) ).
cnf(c_0_394,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_5
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_362]),c_0_353]),c_0_208]) ).
cnf(c_0_395,negated_conjecture,
( ~ vertical_3_5
| horizontal_2_4
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_262]),c_0_383]) ).
cnf(c_0_396,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_3
| vertical_1_2
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_258,c_0_234]) ).
cnf(c_0_397,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_5_5
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_229,c_0_226]) ).
cnf(c_0_398,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_4
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_249,c_0_226]) ).
cnf(c_0_399,negated_conjecture,
( ~ horizontal_2_5
| ~ horizontal_4_5
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_146,c_0_384]) ).
cnf(c_0_400,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_4_5
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_147,c_0_384]) ).
cnf(c_0_401,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
inference(fof_simplification,[status(thm)],[unique_cover3_5_5]) ).
cnf(c_0_402,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_3
| horizontal_2_4
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_364,c_0_234]) ).
cnf(c_0_403,negated_conjecture,
( vertical_3_5
| vertical_4_2
| horizontal_4_4
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_385,c_0_278]) ).
cnf(c_0_404,negated_conjecture,
( ~ vertical_1_3
| vertical_1_4
| horizontal_3_5
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_386,c_0_156]) ).
cnf(c_0_405,negated_conjecture,
( ~ vertical_1_3
| vertical_1_4
| horizontal_2_4
| vertical_2_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_177]),c_0_388]) ).
cnf(c_0_406,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
c_0_389 ).
cnf(c_0_407,negated_conjecture,
( ~ horizontal_2_2
| horizontal_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_390]),c_0_371]) ).
cnf(c_0_408,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_5_3
| vertical_1_2
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_251,c_0_234]) ).
cnf(c_0_409,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_5
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_221]),c_0_199]),c_0_208]) ).
cnf(c_0_410,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_5_4
| horizontal_4_1
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_148,c_0_391]) ).
cnf(c_0_411,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_270]),c_0_218]) ).
cnf(c_0_412,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_5
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_353]) ).
cnf(c_0_413,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_4_3
| vertical_1_2
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_381,c_0_316]) ).
cnf(c_0_414,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_4
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_396]),c_0_270]),c_0_218]) ).
cnf(c_0_415,negated_conjecture,
( ~ horizontal_3_4
| horizontal_2_4
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_262]),c_0_398]) ).
cnf(c_0_416,negated_conjecture,
( ~ horizontal_2_5
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_4_5 ),
inference(spm,[status(thm)],[c_0_399,c_0_211]) ).
cnf(c_0_417,negated_conjecture,
( ~ vertical_1_5
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_4_5 ),
inference(spm,[status(thm)],[c_0_400,c_0_211]) ).
cnf(c_0_418,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
c_0_401 ).
cnf(c_0_419,negated_conjecture,
( ~ vertical_3_5
| horizontal_2_4
| vertical_4_2
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_402,c_0_395]) ).
cnf(c_0_420,negated_conjecture,
( ~ vertical_3_4
| vertical_3_5
| vertical_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_403]),c_0_295]) ).
cnf(c_0_421,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
inference(fof_simplification,[status(thm)],[unique_cover4_2_2]) ).
cnf(c_0_422,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_2 ),
inference(fof_simplification,[status(thm)],[unique_cover5_2_2]) ).
cnf(c_0_423,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_5
| vertical_1_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_195,c_0_404]) ).
cnf(c_0_424,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_4
| vertical_2_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_405]),c_0_199]) ).
cnf(c_0_425,negated_conjecture,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
covered_2_3 ).
cnf(c_0_426,negated_conjecture,
~ horizontal_2_2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_371]) ).
cnf(c_0_427,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference(fof_simplification,[status(thm)],[unique_cover4_2_4]) ).
cnf(c_0_428,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_408]),c_0_270]),c_0_218]) ).
cnf(c_0_429,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_5
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_395]),c_0_199]) ).
cnf(c_0_430,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_4_3
| vertical_1_2
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_251,c_0_316]) ).
cnf(c_0_431,negated_conjecture,
( ~ vertical_5_4
| horizontal_2_1
| horizontal_4_1
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_410,c_0_190]) ).
cnf(c_0_432,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
inference(fof_simplification,[status(thm)],[unique_cover4_5_5]) ).
cnf(c_0_433,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
inference(fof_simplification,[status(thm)],[unique_cover4_1_3]) ).
cnf(c_0_434,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2
| horizontal_4_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_278]),c_0_412]) ).
cnf(c_0_435,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_413]),c_0_270]),c_0_303]) ).
cnf(c_0_436,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_4
| horizontal_2_4
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_437,negated_conjecture,
( ~ horizontal_2_5
| ~ horizontal_3_4
| horizontal_4_4
| vertical_4_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_416]),c_0_321]) ).
cnf(c_0_438,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_3_4
| horizontal_4_4
| vertical_4_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_417]),c_0_321]) ).
cnf(c_0_439,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_4_5
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_418,c_0_226]) ).
cnf(c_0_440,negated_conjecture,
( ~ vertical_3_4
| horizontal_2_4
| vertical_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_419]),c_0_420]) ).
cnf(c_0_441,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
c_0_421 ).
cnf(c_0_442,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_2 ),
c_0_422 ).
cnf(c_0_443,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_4
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_423]),c_0_424]) ).
cnf(c_0_444,negated_conjecture,
( vertical_1_3
| horizontal_2_3
| vertical_2_3 ),
inference(sr,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_445,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
c_0_427 ).
cnf(c_0_446,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_4_5
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_114,c_0_384]) ).
cnf(c_0_447,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| horizontal_4_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_278]),c_0_429]) ).
cnf(c_0_448,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_430]),c_0_270]),c_0_303]) ).
cnf(c_0_449,negated_conjecture,
( horizontal_2_1
| horizontal_4_1
| vertical_4_4
| horizontal_5_3
| vertical_5_3
| horizontal_5_4 ),
inference(spm,[status(thm)],[c_0_431,c_0_248]) ).
cnf(c_0_450,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
c_0_432 ).
cnf(c_0_451,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
c_0_433 ).
cnf(c_0_452,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2
| ~ horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_434]),c_0_305]) ).
cnf(c_0_453,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2
| vertical_3_3
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_332]),c_0_333]) ).
cnf(c_0_454,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_4
| ~ horizontal_4_4
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_296,c_0_436]) ).
cnf(c_0_455,negated_conjecture,
( ~ horizontal_3_4
| horizontal_2_4
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_177]),c_0_438]),c_0_205]),c_0_439]) ).
cnf(c_0_456,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_4
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_270,c_0_440]) ).
cnf(c_0_457,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_4
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_273]),c_0_442]) ).
cnf(c_0_458,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_5_3
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_441,c_0_261]) ).
cnf(c_0_459,negated_conjecture,
( ~ vertical_2_4
| vertical_2_3
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_445]) ).
cnf(c_0_460,negated_conjecture,
( ~ horizontal_4_5
| horizontal_1_3
| vertical_1_4
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_446,c_0_124]) ).
cnf(c_0_461,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
inference(fof_simplification,[status(thm)],[unique_cover5_3_3]) ).
cnf(c_0_462,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| ~ horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_447]),c_0_305]) ).
cnf(c_0_463,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| vertical_3_3
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_332]),c_0_333]) ).
cnf(c_0_464,negated_conjecture,
( ~ horizontal_5_2
| horizontal_2_1
| horizontal_4_1
| vertical_4_4
| horizontal_5_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_449]),c_0_218]) ).
cnf(c_0_465,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_5_4
| horizontal_2_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_283]),c_0_284]) ).
cnf(c_0_466,negated_conjecture,
( ~ vertical_1_3
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_451,c_0_158]) ).
cnf(c_0_467,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2
| vertical_3_3 ),
inference(spm,[status(thm)],[c_0_452,c_0_453]) ).
cnf(c_0_468,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_4
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_469,negated_conjecture,
( ~ vertical_3_2
| horizontal_2_4
| vertical_2_4
| horizontal_3_3
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_456,c_0_323]) ).
cnf(c_0_470,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_289]),c_0_457]) ).
cnf(c_0_471,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_5
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_275]),c_0_442]) ).
cnf(c_0_472,negated_conjecture,
( ~ vertical_2_2
| vertical_3_5
| horizontal_4_4
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_458,c_0_278]) ).
cnf(c_0_473,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_5_5
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_229,c_0_459]) ).
cnf(c_0_474,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_4_5
| vertical_1_4
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_137,c_0_460]) ).
cnf(c_0_475,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
c_0_461 ).
cnf(c_0_476,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| vertical_3_3 ),
inference(spm,[status(thm)],[c_0_462,c_0_463]) ).
cnf(c_0_477,negated_conjecture,
( ~ vertical_1_2
| horizontal_3_2
| vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_349]),c_0_442]) ).
cnf(c_0_478,negated_conjecture,
( ~ vertical_3_2
| horizontal_2_1
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_464]),c_0_284]),c_0_465]) ).
cnf(c_0_479,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_3
| vertical_1_2
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_259,c_0_234]) ).
cnf(c_0_480,negated_conjecture,
( vertical_1_2
| horizontal_2_2
| horizontal_2_3
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_466,c_0_425]) ).
cnf(c_0_481,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_346,c_0_467]) ).
cnf(c_0_482,negated_conjecture,
( ~ vertical_3_2
| horizontal_2_4
| vertical_2_4
| horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
cnf(c_0_483,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_4
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_296,c_0_470]) ).
cnf(c_0_484,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_4_2
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_441,c_0_343]) ).
cnf(c_0_485,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_5
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_291]),c_0_471]) ).
cnf(c_0_486,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_4_3
| vertical_3_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_472]),c_0_305]) ).
cnf(c_0_487,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_4
| vertical_3_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_472]),c_0_295]) ).
cnf(c_0_488,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_4_3
| vertical_1_2
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_381,c_0_329]) ).
cnf(c_0_489,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_4_2
| vertical_1_2
| horizontal_2_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_327]),c_0_328]) ).
cnf(c_0_490,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_5_3
| horizontal_2_1
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_473,c_0_246]) ).
cnf(c_0_491,negated_conjecture,
( ~ horizontal_4_5
| vertical_1_2
| vertical_1_4
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_474,c_0_158]) ).
cnf(c_0_492,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
inference(fof_simplification,[status(thm)],[unique_cover6_3_3]) ).
cnf(c_0_493,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_2_4
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
cnf(c_0_494,negated_conjecture,
( ~ vertical_2_4
| vertical_2_5
| horizontal_3_2
| vertical_3_2 ),
inference(spm,[status(thm)],[c_0_477,c_0_221]) ).
cnf(c_0_495,negated_conjecture,
( ~ vertical_2_4
| vertical_2_3
| vertical_2_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_325]),c_0_445]) ).
cnf(c_0_496,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_3_2
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_478]) ).
cnf(c_0_497,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_5
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_479]),c_0_270]),c_0_218]) ).
cnf(c_0_498,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_3
| vertical_1_2
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_259,c_0_316]) ).
cnf(c_0_499,negated_conjecture,
( vertical_1_2
| horizontal_2_3
| vertical_2_3 ),
inference(sr,[status(thm)],[c_0_480,c_0_426]) ).
cnf(c_0_500,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_353]),c_0_445]) ).
cnf(c_0_501,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_4
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_354]),c_0_442]) ).
cnf(c_0_502,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_4
| ~ horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_321]) ).
cnf(c_0_503,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_485]),c_0_486]) ).
cnf(c_0_504,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_485]),c_0_487]) ).
cnf(c_0_505,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_2_4
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_344]),c_0_442]) ).
cnf(c_0_506,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_2_4
| ~ horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_345]),c_0_442]) ).
cnf(c_0_507,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_3
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_488]),c_0_442]) ).
cnf(c_0_508,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_3
| ~ horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_489]),c_0_442]) ).
cnf(c_0_509,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_4
| ~ horizontal_5_3
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_374,c_0_490]) ).
cnf(c_0_510,negated_conjecture,
( ~ vertical_2_4
| horizontal_2_2
| vertical_2_3
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_425]),c_0_445]) ).
cnf(c_0_511,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ horizontal_5_4 ),
inference(spm,[status(thm)],[c_0_266,c_0_264]) ).
cnf(c_0_512,negated_conjecture,
( vertical_1_2
| vertical_1_4
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_4_5 ),
inference(spm,[status(thm)],[c_0_491,c_0_211]) ).
cnf(c_0_513,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
c_0_492 ).
cnf(c_0_514,negated_conjecture,
( ~ vertical_2_4
| vertical_2_5
| horizontal_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_495]) ).
cnf(c_0_515,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_5
| horizontal_2_1
| horizontal_2_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_283]),c_0_284]) ).
cnf(c_0_516,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_5
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_291]),c_0_497]) ).
cnf(c_0_517,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_5
| ~ vertical_4_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_498]),c_0_270]),c_0_303]) ).
cnf(c_0_518,negated_conjecture,
( ~ vertical_3_2
| vertical_2_3
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_499]),c_0_500]) ).
cnf(c_0_519,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_3_2
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_298]) ).
cnf(c_0_520,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_4_5
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_418,c_0_242]) ).
cnf(c_0_521,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_3
| horizontal_2_1
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_397,c_0_246]) ).
cnf(c_0_522,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
inference(fof_simplification,[status(thm)],[unique_cover1_3_1]) ).
cnf(c_0_523,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_4
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_332]),c_0_502]),c_0_503]) ).
cnf(c_0_524,negated_conjecture,
( ~ vertical_2_2
| vertical_2_4
| horizontal_3_3
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_504,c_0_323]) ).
cnf(c_0_525,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_2_4
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_332]),c_0_506]),c_0_503]) ).
cnf(c_0_526,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
inference(fof_simplification,[status(thm)],[unique_cover3_3_3]) ).
cnf(c_0_527,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_3
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_332]),c_0_508]),c_0_503]) ).
cnf(c_0_528,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_5_3
| vertical_2_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_499]),c_0_445]) ).
cnf(c_0_529,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_5_4
| vertical_2_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_510]),c_0_511]) ).
cnf(c_0_530,negated_conjecture,
( ~ vertical_2_5
| vertical_1_2
| vertical_1_4
| horizontal_4_4
| vertical_4_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_512]),c_0_208]) ).
cnf(c_0_531,negated_conjecture,
( ~ vertical_2_4
| vertical_2_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_495]) ).
cnf(c_0_532,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_4_5
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_418,c_0_238]) ).
cnf(c_0_533,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_3_2
| ~ vertical_3_5
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_515]) ).
cnf(c_0_534,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_5
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_304,c_0_516]) ).
cnf(c_0_535,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_5
| vertical_3_3
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_332]),c_0_333]) ).
cnf(c_0_536,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_4
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_296,c_0_518]) ).
cnf(c_0_537,negated_conjecture,
( ~ vertical_3_2
| vertical_2_3
| vertical_3_5
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_499]),c_0_500]) ).
cnf(c_0_538,negated_conjecture,
( ~ horizontal_3_4
| vertical_1_2
| vertical_1_4
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_512]),c_0_321]),c_0_520]) ).
cnf(c_0_539,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_4_5
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_418,c_0_373]) ).
cnf(c_0_540,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_3_4
| ~ horizontal_5_3
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_521]) ).
cnf(c_0_541,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
c_0_522 ).
cnf(c_0_542,negated_conjecture,
( ~ vertical_2_2
| horizontal_3_3
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_525]) ).
cnf(c_0_543,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
c_0_526 ).
cnf(c_0_544,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_3
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_346,c_0_527]) ).
cnf(c_0_545,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_2_5
| vertical_2_4
| horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_205,c_0_524]) ).
cnf(c_0_546,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_3
| vertical_2_5 ),
inference(spm,[status(thm)],[c_0_442,c_0_362]) ).
cnf(c_0_547,negated_conjecture,
( ~ vertical_2_4
| vertical_2_3
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_262]),c_0_528]),c_0_529]) ).
cnf(c_0_548,negated_conjecture,
( ~ vertical_2_4
| vertical_1_2
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_530]),c_0_531]),c_0_532]) ).
cnf(c_0_549,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| ~ vertical_3_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_221]),c_0_199]),c_0_208]) ).
cnf(c_0_550,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_5
| vertical_3_3 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_551,negated_conjecture,
( ~ vertical_3_2
| vertical_2_3
| vertical_3_5 ),
inference(spm,[status(thm)],[c_0_536,c_0_537]) ).
cnf(c_0_552,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_3_4
| vertical_1_2
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_224,c_0_538]) ).
cnf(c_0_553,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_5_3
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_261]) ).
cnf(c_0_554,negated_conjecture,
( ~ horizontal_2_3
| vertical_1_2
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_530]),c_0_362]),c_0_539]) ).
cnf(c_0_555,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_3_4
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_362]),c_0_353]),c_0_205]) ).
cnf(c_0_556,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_6_4
| horizontal_4_1
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_541,c_0_149]) ).
cnf(c_0_557,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_2_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_542]),c_0_543]) ).
cnf(c_0_558,negated_conjecture,
( ~ vertical_2_2
| horizontal_2_3
| vertical_2_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_480]),c_0_350]) ).
cnf(c_0_559,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_545]),c_0_546]),c_0_445]) ).
cnf(c_0_560,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_4
| vertical_3_5 ),
inference(spm,[status(thm)],[c_0_270,c_0_420]) ).
cnf(c_0_561,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_4_4
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_296,c_0_547]) ).
cnf(c_0_562,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_548]),c_0_549]) ).
cnf(c_0_563,negated_conjecture,
( ~ vertical_3_2
| vertical_2_3
| vertical_3_3 ),
inference(spm,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_564,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_289]),c_0_414]) ).
cnf(c_0_565,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_4
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_552]),c_0_455]),c_0_321]) ).
cnf(c_0_566,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_5_3
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_554]),c_0_394]) ).
cnf(c_0_567,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_3_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_415]),c_0_353]) ).
cnf(c_0_568,negated_conjecture,
( ~ horizontal_3_1
| horizontal_4_1
| vertical_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_556,c_0_167]) ).
cnf(c_0_569,negated_conjecture,
~ vertical_2_2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_558]),c_0_559]) ).
cnf(c_0_570,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_516]),c_0_560]) ).
cnf(c_0_571,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_562]),c_0_493]) ).
cnf(c_0_572,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_563]),c_0_543]) ).
cnf(c_0_573,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_564]),c_0_565]) ).
cnf(c_0_574,negated_conjecture,
( ~ horizontal_2_3
| horizontal_4_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_278]),c_0_412]) ).
cnf(c_0_575,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_3_4
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_296,c_0_567]) ).
cnf(c_0_576,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_5_3
| horizontal_4_1
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_191,c_0_568]) ).
cnf(c_0_577,negated_conjecture,
( horizontal_3_1
| horizontal_3_2
| vertical_3_2 ),
inference(sr,[status(thm)],[c_0_339,c_0_569]) ).
cnf(c_0_578,negated_conjecture,
~ vertical_3_2,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_323]),c_0_571]),c_0_572]),c_0_573]) ).
cnf(c_0_579,negated_conjecture,
( horizontal_2_1
| horizontal_3_2
| vertical_3_2 ),
inference(sr,[status(thm)],[c_0_349,c_0_569]) ).
cnf(c_0_580,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_574]),c_0_295]) ).
cnf(c_0_581,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_455]),c_0_353]) ).
cnf(c_0_582,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_4_2
| ~ horizontal_5_3
| vertical_5_5 ),
inference(spm,[status(thm)],[c_0_232,c_0_576]) ).
cnf(c_0_583,negated_conjecture,
( horizontal_3_1
| horizontal_3_2 ),
inference(sr,[status(thm)],[c_0_577,c_0_578]) ).
cnf(c_0_584,negated_conjecture,
( horizontal_2_1
| horizontal_3_2 ),
inference(sr,[status(thm)],[c_0_579,c_0_578]) ).
cnf(c_0_585,negated_conjecture,
( ~ horizontal_2_3
| horizontal_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_323]),c_0_445]),c_0_581]) ).
cnf(c_0_586,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_5_4
| vertical_1_2 ),
inference(spm,[status(thm)],[c_0_249,c_0_373]) ).
cnf(c_0_587,negated_conjecture,
( ~ horizontal_5_3
| horizontal_3_2
| vertical_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_234]) ).
cnf(c_0_588,negated_conjecture,
( ~ vertical_1_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_374,c_0_584]) ).
cnf(c_0_589,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_406,c_0_585]) ).
cnf(c_0_590,negated_conjecture,
( ~ horizontal_2_3
| vertical_1_2
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_262]),c_0_586]) ).
cnf(c_0_591,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_4_5
| vertical_1_4
| horizontal_3_5 ),
inference(spm,[status(thm)],[c_0_377,c_0_460]) ).
cnf(c_0_592,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_5_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_587]),c_0_588]),c_0_589]) ).
cnf(c_0_593,negated_conjecture,
( ~ horizontal_2_3
| vertical_4_4
| horizontal_5_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_590]),c_0_589]) ).
cnf(c_0_594,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_5_3
| horizontal_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_587]),c_0_588]) ).
cnf(c_0_595,negated_conjecture,
( ~ vertical_2_4
| horizontal_3_2
| vertical_4_4
| horizontal_5_3 ),
inference(spm,[status(thm)],[c_0_588,c_0_281]) ).
cnf(c_0_596,negated_conjecture,
( ~ vertical_1_3
| vertical_1_4
| horizontal_3_5
| vertical_3_5
| horizontal_4_4
| vertical_4_5 ),
inference(spm,[status(thm)],[c_0_591,c_0_211]) ).
cnf(c_0_597,negated_conjecture,
( ~ horizontal_2_3
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_592,c_0_593]) ).
cnf(c_0_598,negated_conjecture,
( ~ horizontal_2_3
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_554]),c_0_589]) ).
cnf(c_0_599,negated_conjecture,
( ~ vertical_2_4
| horizontal_3_2
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_600,negated_conjecture,
( ~ vertical_2_4
| horizontal_3_2
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_588,c_0_548]) ).
cnf(c_0_601,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_5
| vertical_1_4
| horizontal_4_4
| vertical_4_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_596]),c_0_208]) ).
cnf(c_0_602,negated_conjecture,
~ horizontal_2_3,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_597]),c_0_598]) ).
cnf(c_0_603,negated_conjecture,
( ~ vertical_2_4
| horizontal_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_599]),c_0_600]) ).
cnf(c_0_604,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_4
| ~ vertical_4_5 ),
inference(spm,[status(thm)],[c_0_266,c_0_532]) ).
cnf(c_0_605,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_4
| horizontal_4_4
| vertical_4_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_601]),c_0_531]) ).
cnf(c_0_606,negated_conjecture,
( vertical_1_3
| vertical_2_3 ),
inference(sr,[status(thm)],[c_0_444,c_0_602]) ).
cnf(c_0_607,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_2_4 ),
inference(spm,[status(thm)],[c_0_513,c_0_603]) ).
cnf(c_0_608,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_3
| horizontal_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_587]),c_0_588]) ).
cnf(c_0_609,negated_conjecture,
( ~ vertical_3_5
| horizontal_3_2
| vertical_4_4
| horizontal_5_3 ),
inference(spm,[status(thm)],[c_0_588,c_0_291]) ).
cnf(c_0_610,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_4_5
| vertical_2_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_510]),c_0_604]) ).
cnf(c_0_611,negated_conjecture,
( ~ vertical_2_4
| horizontal_4_4
| vertical_4_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_606]),c_0_607]) ).
cnf(c_0_612,negated_conjecture,
( ~ horizontal_5_3
| horizontal_3_2
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_245,c_0_587]) ).
cnf(c_0_613,negated_conjecture,
( ~ vertical_3_5
| horizontal_3_2
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_608,c_0_609]) ).
cnf(c_0_614,negated_conjecture,
( ~ vertical_2_4
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_611]),c_0_607]) ).
cnf(c_0_615,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_3
| horizontal_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_587]),c_0_588]) ).
cnf(c_0_616,negated_conjecture,
( ~ horizontal_3_4
| horizontal_3_2
| vertical_4_4
| horizontal_5_3 ),
inference(spm,[status(thm)],[c_0_588,c_0_289]) ).
cnf(c_0_617,negated_conjecture,
( horizontal_3_2
| horizontal_4_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_278]),c_0_613]) ).
cnf(c_0_618,negated_conjecture,
~ vertical_2_4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_614]),c_0_607]) ).
cnf(c_0_619,negated_conjecture,
( ~ horizontal_3_4
| horizontal_3_2
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_615,c_0_616]) ).
cnf(c_0_620,negated_conjecture,
( ~ horizontal_3_4
| horizontal_3_2
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_552]),c_0_455]) ).
cnf(c_0_621,negated_conjecture,
( horizontal_2_3
| vertical_2_3
| horizontal_3_2
| vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_480]),c_0_360]) ).
cnf(c_0_622,negated_conjecture,
( ~ vertical_3_4
| horizontal_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_617]),c_0_295]) ).
cnf(c_0_623,negated_conjecture,
( horizontal_3_3
| horizontal_3_4
| vertical_3_4 ),
inference(sr,[status(thm)],[c_0_323,c_0_618]) ).
cnf(c_0_624,negated_conjecture,
( ~ horizontal_3_4
| horizontal_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_619]),c_0_620]) ).
cnf(c_0_625,negated_conjecture,
( horizontal_2_3
| vertical_2_3
| horizontal_3_2 ),
inference(sr,[status(thm)],[c_0_621,c_0_578]) ).
cnf(c_0_626,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
inference(fof_simplification,[status(thm)],[unique_cover3_5_3]) ).
cnf(c_0_627,negated_conjecture,
( horizontal_3_2
| horizontal_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_624]) ).
cnf(c_0_628,negated_conjecture,
( vertical_2_3
| horizontal_3_2 ),
inference(sr,[status(thm)],[c_0_625,c_0_602]) ).
cnf(c_0_629,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
c_0_626 ).
cnf(c_0_630,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_4
| horizontal_2_1 ),
inference(spm,[status(thm)],[c_0_450,c_0_329]) ).
cnf(c_0_631,negated_conjecture,
( ~ vertical_5_2
| ~ vertical_5_4
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_153,c_0_372]) ).
cnf(c_0_632,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_5_4
| vertical_5_3 ),
inference(spm,[status(thm)],[c_0_154,c_0_372]) ).
cnf(c_0_633,negated_conjecture,
horizontal_3_2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_627]),c_0_628]) ).
cnf(c_0_634,negated_conjecture,
( ~ vertical_4_3
| horizontal_2_1
| horizontal_4_1
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_449]),c_0_629]),c_0_630]) ).
cnf(c_0_635,negated_conjecture,
( ~ vertical_5_2
| vertical_4_4
| horizontal_5_3
| vertical_5_3
| horizontal_5_4 ),
inference(spm,[status(thm)],[c_0_631,c_0_248]) ).
cnf(c_0_636,negated_conjecture,
( ~ horizontal_5_1
| vertical_4_4
| horizontal_5_3
| vertical_5_3
| horizontal_5_4 ),
inference(spm,[status(thm)],[c_0_632,c_0_248]) ).
cnf(c_0_637,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_3_5
| vertical_1_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_186,c_0_404]) ).
cnf(c_0_638,negated_conjecture,
~ vertical_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_513,c_0_633])]) ).
cnf(c_0_639,negated_conjecture,
( ~ vertical_4_2
| ~ vertical_4_3
| horizontal_2_1
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_232,c_0_634]) ).
cnf(c_0_640,negated_conjecture,
( vertical_1_2
| vertical_2_3 ),
inference(sr,[status(thm)],[c_0_499,c_0_602]) ).
cnf(c_0_641,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_2
| vertical_4_4
| horizontal_5_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_635]),c_0_629]) ).
cnf(c_0_642,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_1
| vertical_4_4
| horizontal_5_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_636]),c_0_629]) ).
cnf(c_0_643,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_4
| vertical_4_2 ),
inference(spm,[status(thm)],[c_0_450,c_0_316]) ).
cnf(c_0_644,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_3_5
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_637]),c_0_228]) ).
cnf(c_0_645,negated_conjecture,
vertical_1_3,
inference(sr,[status(thm)],[c_0_606,c_0_638]) ).
cnf(c_0_646,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_4_2
| ~ vertical_4_3
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_639]) ).
cnf(c_0_647,negated_conjecture,
vertical_1_2,
inference(sr,[status(thm)],[c_0_640,c_0_638]) ).
cnf(c_0_648,negated_conjecture,
( ~ vertical_4_3
| vertical_4_2
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_216]),c_0_642]),c_0_303]),c_0_643]) ).
cnf(c_0_649,negated_conjecture,
( ~ vertical_4_3
| horizontal_2_1
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_245,c_0_329]) ).
cnf(c_0_650,negated_conjecture,
( ~ vertical_3_5
| horizontal_5_5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_644,c_0_645])]) ).
cnf(c_0_651,negated_conjecture,
( ~ vertical_4_3
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_646,c_0_647])]),c_0_648]) ).
cnf(c_0_652,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_4_3
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_649]) ).
cnf(c_0_653,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_4_3
| vertical_3_5
| horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_260,c_0_649]) ).
cnf(c_0_654,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_5_5 ),
inference(spm,[status(thm)],[c_0_229,c_0_650]) ).
cnf(c_0_655,negated_conjecture,
~ horizontal_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_647])]) ).
cnf(c_0_656,negated_conjecture,
( ~ vertical_4_3
| vertical_3_5
| horizontal_4_4
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_629,c_0_278]) ).
cnf(c_0_657,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_5_4
| horizontal_2_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_327]),c_0_328]) ).
cnf(c_0_658,negated_conjecture,
~ vertical_3_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_633])]) ).
cnf(c_0_659,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_296,c_0_651]) ).
cnf(c_0_660,negated_conjecture,
( ~ vertical_4_3
| horizontal_2_3
| vertical_2_3
| vertical_3_5
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_480]),c_0_653]) ).
cnf(c_0_661,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_329]),c_0_655]) ).
cnf(c_0_662,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_3
| horizontal_2_4
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_629,c_0_395]) ).
cnf(c_0_663,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_3
| vertical_3_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_656]),c_0_295]) ).
cnf(c_0_664,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
inference(fof_simplification,[status(thm)],[unique_cover6_4_4]) ).
cnf(c_0_665,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_4_2
| ~ horizontal_5_4 ),
inference(spm,[status(thm)],[c_0_374,c_0_657]) ).
cnf(c_0_666,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_4_2
| horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_374,c_0_328]) ).
cnf(c_0_667,negated_conjecture,
( horizontal_4_2
| horizontal_4_3
| vertical_4_3 ),
inference(sr,[status(thm)],[c_0_332,c_0_658]) ).
cnf(c_0_668,negated_conjecture,
~ vertical_4_3,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_660]),c_0_638]),c_0_602]),c_0_661]) ).
cnf(c_0_669,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_3
| vertical_2_3
| horizontal_2_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_499]),c_0_581]) ).
cnf(c_0_670,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_3
| horizontal_2_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_662]),c_0_663]) ).
cnf(c_0_671,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_2
| horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_314,c_0_440]) ).
cnf(c_0_672,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
c_0_664 ).
cnf(c_0_673,negated_conjecture,
~ horizontal_3_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_633])]) ).
cnf(c_0_674,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_3_4
| vertical_1_4
| horizontal_5_5 ),
inference(spm,[status(thm)],[c_0_182,c_0_404]) ).
cnf(c_0_675,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_5_3
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_552]),c_0_455]),c_0_321]) ).
cnf(c_0_676,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_5_4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_665,c_0_647])]) ).
cnf(c_0_677,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_5_2
| vertical_4_4
| horizontal_5_4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_464]),c_0_655]) ).
cnf(c_0_678,negated_conjecture,
( ~ horizontal_4_2
| horizontal_5_2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_666,c_0_647])]) ).
cnf(c_0_679,negated_conjecture,
( horizontal_4_2
| horizontal_4_3 ),
inference(sr,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_680,negated_conjecture,
( ~ horizontal_3_4
| vertical_2_3
| horizontal_2_4
| vertical_4_4 ),
inference(spm,[status(thm)],[c_0_669,c_0_415]) ).
cnf(c_0_681,negated_conjecture,
( ~ vertical_3_4
| horizontal_2_4
| vertical_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_332]),c_0_671]),c_0_672]) ).
cnf(c_0_682,negated_conjecture,
( horizontal_3_4
| vertical_3_4 ),
inference(sr,[status(thm)],[c_0_623,c_0_673]) ).
cnf(c_0_683,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_3_4
| horizontal_5_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_674]),c_0_226]) ).
cnf(c_0_684,negated_conjecture,
( ~ horizontal_3_4
| horizontal_4_4
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_278]),c_0_321]) ).
cnf(c_0_685,negated_conjecture,
( ~ horizontal_4_2
| vertical_4_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_677]),c_0_678]) ).
cnf(c_0_686,negated_conjecture,
( ~ vertical_3_4
| horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_672,c_0_679]) ).
cnf(c_0_687,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_3_4
| vertical_1_4
| horizontal_4_4
| vertical_4_5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_596]),c_0_321]) ).
cnf(c_0_688,negated_conjecture,
( ~ horizontal_3_4
| vertical_2_3
| horizontal_2_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_680]),c_0_455]) ).
cnf(c_0_689,negated_conjecture,
( horizontal_2_4
| horizontal_3_4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_682]),c_0_658]) ).
cnf(c_0_690,negated_conjecture,
( ~ horizontal_3_4
| horizontal_5_5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_683,c_0_645])]) ).
cnf(c_0_691,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_684]),c_0_305]) ).
cnf(c_0_692,negated_conjecture,
~ vertical_3_4,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_685]),c_0_686]) ).
cnf(c_0_693,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_2_4
| ~ horizontal_3_4
| horizontal_4_4
| vertical_4_5 ),
inference(spm,[status(thm)],[c_0_224,c_0_687]) ).
cnf(c_0_694,negated_conjecture,
horizontal_2_4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_638]) ).
cnf(c_0_695,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_4_5 ),
inference(spm,[status(thm)],[c_0_418,c_0_690]) ).
cnf(c_0_696,negated_conjecture,
( ~ horizontal_3_4
| horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_691,c_0_679]) ).
cnf(c_0_697,negated_conjecture,
horizontal_3_4,
inference(sr,[status(thm)],[c_0_682,c_0_692]) ).
cnf(c_0_698,negated_conjecture,
( ~ horizontal_3_4
| horizontal_4_4 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_693,c_0_645])]),c_0_694])]),c_0_695]) ).
cnf(c_0_699,negated_conjecture,
horizontal_4_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_696,c_0_697])]) ).
cnf(c_0_700,negated_conjecture,
horizontal_4_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_698,c_0_697])]) ).
cnf(c_0_701,negated_conjecture,
vertical_4_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_685,c_0_699])]) ).
cnf(c_0_702,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_700])]),c_0_701])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 03:43:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.58 % Version: 3.5.1
% 0.77/0.58 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.77/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.58 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.77/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.77/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.77/0.58 % Starting sh5l with 300s (1) cores
% 0.77/0.58 % new_bool_1 with pid 99574 completed with status 0
% 0.77/0.58 % Result found by new_bool_1
% 0.77/0.58 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.77/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.58 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.77/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.77/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.77/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.77/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.77/0.58 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.77/0.58 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.58 % Starting SubtermCWHack with 28s (1) cores
% 0.77/0.58 % SubtermCWHack with pid 99581 completed with status 0
% 0.77/0.58 % Result found by SubtermCWHack
% 0.77/0.58 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.77/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.58 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.77/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.77/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.77/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.77/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.77/0.58 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.77/0.58 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.58 % Starting SubtermCWHack with 28s (1) cores
% 0.77/0.58 % Preprocessing time : 0.002 s
% 0.77/0.58
% 0.77/0.58 % Proof found!
% 0.77/0.58 % SZS status Unsatisfiable
% 0.77/0.58 % SZS output start CNFRefutation
% See solution above
% 0.77/0.59 % Parsed axioms : 184
% 0.77/0.59 % Removed by relevancy pruning/SinE : 0
% 0.77/0.59 % Initial clauses : 184
% 0.77/0.59 % Removed in clause preprocessing : 0
% 0.77/0.59 % Initial clauses in saturation : 184
% 0.77/0.59 % Processed clauses : 2181
% 0.77/0.59 % ...of these trivial : 12
% 0.77/0.59 % ...subsumed : 978
% 0.77/0.59 % ...remaining for further processing : 1190
% 0.77/0.59 % Other redundant clauses eliminated : 0
% 0.77/0.59 % Clauses deleted for lack of memory : 0
% 0.77/0.59 % Backward-subsumed : 870
% 0.77/0.59 % Backward-rewritten : 179
% 0.77/0.59 % Generated clauses : 3975
% 0.77/0.59 % ...of the previous two non-redundant : 3393
% 0.77/0.59 % ...aggressively subsumed : 0
% 0.77/0.59 % Contextual simplify-reflections : 437
% 0.77/0.59 % Paramodulations : 3928
% 0.77/0.59 % Factorizations : 0
% 0.77/0.59 % NegExts : 0
% 0.77/0.59 % Equation resolutions : 0
% 0.77/0.59 % Disequality decompositions : 0
% 0.77/0.59 % Total rewrite steps : 193
% 0.77/0.59 % ...of those cached : 180
% 0.77/0.59 % Propositional unsat checks : 0
% 0.77/0.59 % Propositional check models : 0
% 0.77/0.59 % Propositional check unsatisfiable : 0
% 0.77/0.59 % Propositional clauses : 0
% 0.77/0.59 % Propositional clauses after purity: 0
% 0.77/0.59 % Propositional unsat core size : 0
% 0.77/0.59 % Propositional preprocessing time : 0.000
% 0.77/0.59 % Propositional encoding time : 0.000
% 0.77/0.59 % Propositional solver time : 0.000
% 0.77/0.59 % Success case prop preproc time : 0.000
% 0.77/0.59 % Success case prop encoding time : 0.000
% 0.77/0.59 % Success case prop solver time : 0.000
% 0.77/0.59 % Current number of processed clauses : 94
% 0.77/0.59 % Positive orientable unit clauses : 13
% 0.77/0.59 % Positive unorientable unit clauses: 0
% 0.77/0.59 % Negative unit clauses : 36
% 0.77/0.59 % Non-unit-clauses : 45
% 0.77/0.59 % Current number of unprocessed clauses: 91
% 0.77/0.59 % ...number of literals in the above : 296
% 0.77/0.59 % Current number of archived formulas : 0
% 0.77/0.59 % Current number of archived clauses : 1096
% 0.77/0.59 % Clause-clause subsumption calls (NU) : 270271
% 0.77/0.59 % Rec. Clause-clause subsumption calls : 86133
% 0.77/0.59 % Non-unit clause-clause subsumptions : 1906
% 0.77/0.59 % Unit Clause-clause subsumption calls : 4860
% 0.77/0.59 % Rewrite failures with RHS unbound : 0
% 0.77/0.59 % BW rewrite match attempts : 12
% 0.77/0.59 % BW rewrite match successes : 12
% 0.77/0.59 % Condensation attempts : 0
% 0.77/0.59 % Condensation successes : 0
% 0.77/0.59 % Termbank termtop insertions : 27676
% 0.77/0.59 % Search garbage collected termcells : 206
% 0.77/0.59
% 0.77/0.59 % -------------------------------------------------
% 0.77/0.59 % User time : 0.145 s
% 0.77/0.59 % System time : 0.004 s
% 0.77/0.59 % Total time : 0.150 s
% 0.77/0.59 % Maximum resident set size: 4184 pages
% 0.77/0.59
% 0.77/0.59 % -------------------------------------------------
% 0.77/0.59 % User time : 0.146 s
% 0.77/0.59 % System time : 0.012 s
% 0.77/0.59 % Total time : 0.159 s
% 0.77/0.59 % Maximum resident set size: 5120 pages
% 0.77/0.59 % E exiting
%------------------------------------------------------------------------------