%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 : Sun Sep 27 08:22:56 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.59s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(uncovered2_1_2,axiom,
~ vertical_1_2,
file('theBenchmark.p',uncovered2_1_2) ).
cnf(c_3,plain,
~ vertical_1_2,
inference(clausify,[status(thm)],[uncovered2_1_2]) ).
fof(uncovered3_1_2,axiom,
~ horizontal_1_1,
file('theBenchmark.p',uncovered3_1_2) ).
cnf(c_5,plain,
~ horizontal_1_1,
inference(clausify,[status(thm)],[uncovered3_1_2]) ).
fof(covered_1_1,axiom,
( vertical_1_1
| horizontal_1_1 ),
file('theBenchmark.p',covered_1_1) ).
cnf(c_6,plain,
( vertical_1_1
| horizontal_1_1 ),
inference(clausify,[status(thm)],[covered_1_1]) ).
cnf(c_7,plain,
vertical_1_1,
inference(resolve,[status(thm)],[c_5,c_6]) ).
fof(covered_1_5,axiom,
( horizontal_1_4
| vertical_1_5 ),
file('theBenchmark.p',covered_1_5) ).
cnf(c_10,plain,
( horizontal_1_4
| vertical_1_5 ),
inference(clausify,[status(thm)],[covered_1_5]) ).
fof(covered_2_2,axiom,
( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
file('theBenchmark.p',covered_2_2) ).
cnf(c_11,plain,
( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
inference(clausify,[status(thm)],[covered_2_2]) ).
cnf(c_12,plain,
( horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_3,c_11]) ).
fof(covered_2_4,axiom,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
file('theBenchmark.p',covered_2_4) ).
cnf(c_15,plain,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
inference(clausify,[status(thm)],[covered_2_4]) ).
fof(covered_3_1,axiom,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
file('theBenchmark.p',covered_3_1) ).
cnf(c_17,plain,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
inference(clausify,[status(thm)],[covered_3_1]) ).
fof(covered_3_3,axiom,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
file('theBenchmark.p',covered_3_3) ).
cnf(c_19,plain,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
inference(clausify,[status(thm)],[covered_3_3]) ).
fof(covered_3_5,axiom,
( vertical_2_5
| horizontal_3_4
| vertical_3_5 ),
file('theBenchmark.p',covered_3_5) ).
cnf(c_21,plain,
( vertical_2_5
| horizontal_3_4
| vertical_3_5 ),
inference(clausify,[status(thm)],[covered_3_5]) ).
fof(covered_4_2,axiom,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
file('theBenchmark.p',covered_4_2) ).
cnf(c_23,plain,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
inference(clausify,[status(thm)],[covered_4_2]) ).
fof(covered_4_4,axiom,
( vertical_3_4
| horizontal_4_3
| vertical_4_4
| horizontal_4_4 ),
file('theBenchmark.p',covered_4_4) ).
cnf(c_25,plain,
( vertical_3_4
| horizontal_4_3
| vertical_4_4
| horizontal_4_4 ),
inference(clausify,[status(thm)],[covered_4_4]) ).
fof(covered_5_1,axiom,
( vertical_4_1
| horizontal_5_1 ),
file('theBenchmark.p',covered_5_1) ).
cnf(c_27,plain,
( vertical_4_1
| horizontal_5_1 ),
inference(clausify,[status(thm)],[covered_5_1]) ).
fof(covered_5_3,axiom,
( vertical_4_3
| horizontal_5_2
| horizontal_5_3 ),
file('theBenchmark.p',covered_5_3) ).
cnf(c_29,plain,
( vertical_4_3
| horizontal_5_2
| horizontal_5_3 ),
inference(clausify,[status(thm)],[covered_5_3]) ).
fof(covered_5_5,axiom,
( vertical_4_5
| horizontal_5_4 ),
file('theBenchmark.p',covered_5_5) ).
cnf(c_31,plain,
( vertical_4_5
| horizontal_5_4 ),
inference(clausify,[status(thm)],[covered_5_5]) ).
fof(unique_cover1_1_4,axiom,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
file('theBenchmark.p',unique_cover1_1_4) ).
cnf(c_33,plain,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
inference(clausify,[status(thm)],[unique_cover1_1_4]) ).
fof(unique_cover3_2_1,axiom,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
file('theBenchmark.p',unique_cover3_2_1) ).
cnf(c_36,plain,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
inference(clausify,[status(thm)],[unique_cover3_2_1]) ).
cnf(c_37,plain,
~ horizontal_2_1,
inference(resolve,[status(thm)],[c_7,c_36]) ).
fof(unique_cover5_2_1,axiom,
( ~ vertical_1_1
| ~ vertical_2_1 ),
file('theBenchmark.p',unique_cover5_2_1) ).
cnf(c_38,plain,
( ~ vertical_1_1
| ~ vertical_2_1 ),
inference(clausify,[status(thm)],[unique_cover5_2_1]) ).
cnf(c_39,plain,
~ vertical_2_1,
inference(resolve,[status(thm)],[c_7,c_38]) ).
fof(unique_cover1_2_3,axiom,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
file('theBenchmark.p',unique_cover1_2_3) ).
cnf(c_41,plain,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
inference(clausify,[status(thm)],[unique_cover1_2_3]) ).
fof(unique_cover2_2_3,axiom,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
file('theBenchmark.p',unique_cover2_2_3) ).
cnf(c_42,plain,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
inference(clausify,[status(thm)],[unique_cover2_2_3]) ).
fof(unique_cover4_2_3,axiom,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
file('theBenchmark.p',unique_cover4_2_3) ).
cnf(c_43,plain,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
inference(clausify,[status(thm)],[unique_cover4_2_3]) ).
fof(unique_cover4_2_5,axiom,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
file('theBenchmark.p',unique_cover4_2_5) ).
cnf(c_50,plain,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
inference(clausify,[status(thm)],[unique_cover4_2_5]) ).
fof(unique_cover5_2_5,axiom,
( ~ vertical_1_5
| ~ vertical_2_5 ),
file('theBenchmark.p',unique_cover5_2_5) ).
cnf(c_51,plain,
( ~ vertical_1_5
| ~ vertical_2_5 ),
inference(clausify,[status(thm)],[unique_cover5_2_5]) ).
fof(unique_cover1_3_2,axiom,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
file('theBenchmark.p',unique_cover1_3_2) ).
cnf(c_54,plain,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
inference(clausify,[status(thm)],[unique_cover1_3_2]) ).
fof(unique_cover2_3_2,axiom,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
file('theBenchmark.p',unique_cover2_3_2) ).
cnf(c_55,plain,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
inference(clausify,[status(thm)],[unique_cover2_3_2]) ).
fof(unique_cover3_3_2,axiom,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
file('theBenchmark.p',unique_cover3_3_2) ).
cnf(c_56,plain,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
inference(clausify,[status(thm)],[unique_cover3_3_2]) ).
fof(unique_cover4_3_2,axiom,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
file('theBenchmark.p',unique_cover4_3_2) ).
cnf(c_57,plain,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
inference(clausify,[status(thm)],[unique_cover4_3_2]) ).
fof(unique_cover5_3_2,axiom,
( ~ vertical_2_2
| ~ vertical_3_2 ),
file('theBenchmark.p',unique_cover5_3_2) ).
cnf(c_58,plain,
( ~ vertical_2_2
| ~ vertical_3_2 ),
inference(clausify,[status(thm)],[unique_cover5_3_2]) ).
fof(unique_cover6_3_2,axiom,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
file('theBenchmark.p',unique_cover6_3_2) ).
cnf(c_59,plain,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
inference(clausify,[status(thm)],[unique_cover6_3_2]) ).
fof(unique_cover1_3_4,axiom,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
file('theBenchmark.p',unique_cover1_3_4) ).
cnf(c_66,plain,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
inference(clausify,[status(thm)],[unique_cover1_3_4]) ).
fof(unique_cover2_3_4,axiom,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
file('theBenchmark.p',unique_cover2_3_4) ).
cnf(c_67,plain,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
inference(clausify,[status(thm)],[unique_cover2_3_4]) ).
fof(unique_cover4_3_4,axiom,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
file('theBenchmark.p',unique_cover4_3_4) ).
cnf(c_69,plain,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
inference(clausify,[status(thm)],[unique_cover4_3_4]) ).
fof(unique_cover5_3_4,axiom,
( ~ vertical_2_4
| ~ vertical_3_4 ),
file('theBenchmark.p',unique_cover5_3_4) ).
cnf(c_70,plain,
( ~ vertical_2_4
| ~ vertical_3_4 ),
inference(clausify,[status(thm)],[unique_cover5_3_4]) ).
fof(unique_cover6_3_4,axiom,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
file('theBenchmark.p',unique_cover6_3_4) ).
cnf(c_71,plain,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
inference(clausify,[status(thm)],[unique_cover6_3_4]) ).
fof(unique_cover1_4_1,axiom,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
file('theBenchmark.p',unique_cover1_4_1) ).
cnf(c_75,plain,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
inference(clausify,[status(thm)],[unique_cover1_4_1]) ).
fof(unique_cover3_4_1,axiom,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
file('theBenchmark.p',unique_cover3_4_1) ).
cnf(c_76,plain,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
inference(clausify,[status(thm)],[unique_cover3_4_1]) ).
fof(unique_cover5_4_1,axiom,
( ~ vertical_3_1
| ~ vertical_4_1 ),
file('theBenchmark.p',unique_cover5_4_1) ).
cnf(c_77,plain,
( ~ vertical_3_1
| ~ vertical_4_1 ),
inference(clausify,[status(thm)],[unique_cover5_4_1]) ).
fof(unique_cover1_4_3,axiom,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
file('theBenchmark.p',unique_cover1_4_3) ).
cnf(c_84,plain,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
inference(clausify,[status(thm)],[unique_cover1_4_3]) ).
fof(unique_cover2_4_3,axiom,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
file('theBenchmark.p',unique_cover2_4_3) ).
cnf(c_85,plain,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
inference(clausify,[status(thm)],[unique_cover2_4_3]) ).
fof(unique_cover3_4_3,axiom,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
file('theBenchmark.p',unique_cover3_4_3) ).
cnf(c_86,plain,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
inference(clausify,[status(thm)],[unique_cover3_4_3]) ).
fof(unique_cover4_4_3,axiom,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
file('theBenchmark.p',unique_cover4_4_3) ).
cnf(c_87,plain,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
inference(clausify,[status(thm)],[unique_cover4_4_3]) ).
fof(unique_cover5_4_3,axiom,
( ~ vertical_3_3
| ~ vertical_4_3 ),
file('theBenchmark.p',unique_cover5_4_3) ).
cnf(c_88,plain,
( ~ vertical_3_3
| ~ vertical_4_3 ),
inference(clausify,[status(thm)],[unique_cover5_4_3]) ).
fof(unique_cover6_4_3,axiom,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
file('theBenchmark.p',unique_cover6_4_3) ).
cnf(c_89,plain,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
inference(clausify,[status(thm)],[unique_cover6_4_3]) ).
fof(unique_cover4_4_5,axiom,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
file('theBenchmark.p',unique_cover4_4_5) ).
cnf(c_96,plain,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
inference(clausify,[status(thm)],[unique_cover4_4_5]) ).
fof(unique_cover5_4_5,axiom,
( ~ vertical_3_5
| ~ vertical_4_5 ),
file('theBenchmark.p',unique_cover5_4_5) ).
cnf(c_97,plain,
( ~ vertical_3_5
| ~ vertical_4_5 ),
inference(clausify,[status(thm)],[unique_cover5_4_5]) ).
fof(unique_cover6_4_5,axiom,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
file('theBenchmark.p',unique_cover6_4_5) ).
cnf(c_98,plain,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
inference(clausify,[status(thm)],[unique_cover6_4_5]) ).
fof(unique_cover2_5_2,axiom,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
file('theBenchmark.p',unique_cover2_5_2) ).
cnf(c_100,plain,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
inference(clausify,[status(thm)],[unique_cover2_5_2]) ).
fof(unique_cover3_5_2,axiom,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
file('theBenchmark.p',unique_cover3_5_2) ).
cnf(c_101,plain,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
inference(clausify,[status(thm)],[unique_cover3_5_2]) ).
fof(unique_cover6_5_2,axiom,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
file('theBenchmark.p',unique_cover6_5_2) ).
cnf(c_102,plain,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
inference(clausify,[status(thm)],[unique_cover6_5_2]) ).
fof(unique_cover2_5_4,axiom,
( ~ horizontal_5_3
| ~ horizontal_5_4 ),
file('theBenchmark.p',unique_cover2_5_4) ).
cnf(c_106,plain,
( ~ horizontal_5_3
| ~ horizontal_5_4 ),
inference(clausify,[status(thm)],[unique_cover2_5_4]) ).
fof(unique_cover3_5_4,axiom,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
file('theBenchmark.p',unique_cover3_5_4) ).
cnf(c_107,plain,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
inference(clausify,[status(thm)],[unique_cover3_5_4]) ).
fof(unique_cover6_5_4,axiom,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
file('theBenchmark.p',unique_cover6_5_4) ).
cnf(c_108,plain,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
inference(clausify,[status(thm)],[unique_cover6_5_4]) ).
cnf(c_110,plain,
( vertical_2_2
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_37,c_12]) ).
cnf(c_111,plain,
( vertical_3_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_39,c_17]) ).
cnf(c_117,plain,
( vertical_1_4
| horizontal_2_3
| horizontal_2_4
| ~ horizontal_3_3 ),
inference(resolve,[status(thm)],[c_71,c_15]) ).
cnf(c_119,plain,
( horizontal_5_1
| ~ horizontal_4_1 ),
inference(resolve,[status(thm)],[c_75,c_27]) ).
cnf(c_120,plain,
( horizontal_5_1
| ~ vertical_3_1 ),
inference(resolve,[status(thm)],[c_77,c_27]) ).
cnf(c_125,plain,
( horizontal_5_2
| horizontal_5_3
| ~ horizontal_4_3 ),
inference(resolve,[status(thm)],[c_84,c_29]) ).
cnf(c_126,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| ~ horizontal_4_3 ),
inference(resolve,[status(thm)],[c_86,c_19]) ).
cnf(c_127,plain,
( horizontal_5_2
| horizontal_5_3
| ~ horizontal_4_2 ),
inference(resolve,[status(thm)],[c_87,c_29]) ).
cnf(c_128,plain,
( horizontal_5_2
| horizontal_5_3
| ~ vertical_3_3 ),
inference(resolve,[status(thm)],[c_88,c_29]) ).
cnf(c_129,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| ~ horizontal_4_2 ),
inference(resolve,[status(thm)],[c_89,c_19]) ).
cnf(c_135,plain,
( horizontal_5_4
| ~ horizontal_4_4 ),
inference(resolve,[status(thm)],[c_96,c_31]) ).
cnf(c_136,plain,
( horizontal_5_4
| ~ vertical_3_5 ),
inference(resolve,[status(thm)],[c_97,c_31]) ).
cnf(c_137,plain,
( vertical_2_5
| horizontal_3_4
| ~ horizontal_4_4 ),
inference(resolve,[status(thm)],[c_98,c_21]) ).
cnf(c_139,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| ~ horizontal_5_2 ),
inference(resolve,[status(thm)],[c_101,c_23]) ).
cnf(c_140,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| ~ horizontal_5_1 ),
inference(resolve,[status(thm)],[c_102,c_23]) ).
cnf(c_143,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| ~ horizontal_5_4 ),
inference(resolve,[status(thm)],[c_107,c_25]) ).
cnf(c_144,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| ~ horizontal_5_3 ),
inference(resolve,[status(thm)],[c_108,c_25]) ).
cnf(c_146,plain,
( ~ horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_110,c_59]) ).
cnf(c_147,plain,
( ~ horizontal_3_2
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_110,c_56]) ).
cnf(c_148,plain,
( ~ horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_111,c_76]) ).
cnf(c_149,plain,
( horizontal_3_1
| horizontal_5_1 ),
inference(resolve,[status(thm)],[c_120,c_111]) ).
cnf(c_150,plain,
( vertical_2_5
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[status(thm)],[c_136,c_21]) ).
cnf(c_151,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[status(thm)],[c_128,c_19]) ).
cnf(c_153,plain,
( ~ vertical_1_5
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[status(thm)],[c_150,c_51]) ).
cnf(c_154,plain,
( ~ horizontal_2_4
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[status(thm)],[c_150,c_50]) ).
cnf(c_155,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[status(thm)],[c_153,c_10]) ).
cnf(c_157,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_155,c_106]) ).
cnf(c_158,plain,
( horizontal_3_1
| vertical_3_2
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[status(thm)],[c_140,c_149]) ).
cnf(c_159,plain,
( horizontal_1_4
| horizontal_3_4
| vertical_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[status(thm)],[c_143,c_155]) ).
cnf(c_160,plain,
( ~ horizontal_2_2
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[status(thm)],[c_151,c_43]) ).
cnf(c_165,plain,
( ~ vertical_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[status(thm)],[c_158,c_58]) ).
cnf(c_166,plain,
( ~ horizontal_3_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[status(thm)],[c_158,c_54]) ).
cnf(c_167,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[status(thm)],[c_165,c_110]) ).
cnf(c_168,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_167,c_129]) ).
cnf(c_169,plain,
( horizontal_5_2
| horizontal_5_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_167,c_127]) ).
cnf(c_171,plain,
( ~ horizontal_3_3
| horizontal_1_4
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[status(thm)],[c_159,c_69]) ).
cnf(c_172,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_169,c_157]) ).
cnf(c_173,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_169,c_144]) ).
cnf(c_174,plain,
( ~ horizontal_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_168,c_41]) ).
cnf(c_175,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_3_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_172,c_100]) ).
cnf(c_584,plain,
( horizontal_3_1
| horizontal_1_4
| horizontal_3_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_175,c_149]) ).
cnf(c_176,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_584]) ).
cnf(c_585,plain,
( horizontal_3_1
| horizontal_1_4
| horizontal_3_4
| horizontal_2_2
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_176,c_148]) ).
cnf(c_177,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_2_2
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_585]) ).
cnf(c_179,plain,
( ~ vertical_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_173,c_70]) ).
cnf(c_180,plain,
( ~ horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_173,c_69]) ).
cnf(c_181,plain,
( ~ horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_173,c_66]) ).
cnf(c_182,plain,
( vertical_1_4
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_179,c_15]) ).
cnf(c_586,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_181,c_177]) ).
cnf(c_587,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_586]) ).
cnf(c_183,plain,
( horizontal_1_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_587]) ).
cnf(c_184,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_4_3
| horizontal_4_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_183,c_100]) ).
cnf(c_588,plain,
( horizontal_3_1
| horizontal_1_4
| horizontal_4_3
| horizontal_4_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_184,c_149]) ).
cnf(c_185,plain,
( horizontal_1_4
| horizontal_4_3
| horizontal_4_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_588]) ).
cnf(c_186,plain,
( horizontal_5_4
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_185,c_135]) ).
cnf(c_187,plain,
( ~ horizontal_5_3
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_186,c_106]) ).
cnf(c_589,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_187,c_169]) ).
cnf(c_590,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_589]) ).
cnf(c_591,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_590]) ).
cnf(c_188,plain,
( horizontal_5_2
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_591]) ).
cnf(c_189,plain,
( ~ horizontal_1_4
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_182,c_33]) ).
cnf(c_190,plain,
( ~ horizontal_5_1
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_188,c_100]) ).
cnf(c_592,plain,
( horizontal_3_1
| horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_190,c_149]) ).
cnf(c_191,plain,
( horizontal_1_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_592]) ).
cnf(c_193,plain,
( ~ horizontal_4_2
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_191,c_85]) ).
cnf(c_593,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_193,c_167]) ).
cnf(c_594,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_593]) ).
cnf(c_595,plain,
( horizontal_2_2
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_594]) ).
cnf(c_194,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_595]) ).
cnf(c_596,plain,
( horizontal_3_1
| horizontal_1_4
| horizontal_2_2
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_194,c_148]) ).
cnf(c_195,plain,
( horizontal_1_4
| horizontal_2_2
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_596]) ).
cnf(c_597,plain,
( horizontal_2_2
| horizontal_1_4
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_195,c_146]) ).
cnf(c_196,plain,
( horizontal_1_4
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_597]) ).
cnf(c_197,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_196,c_160]) ).
cnf(c_598,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_197,c_157]) ).
cnf(c_198,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_598]) ).
cnf(c_199,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_197,c_144]) ).
cnf(c_202,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_198,c_139]) ).
cnf(c_203,plain,
( ~ horizontal_5_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_198,c_100]) ).
cnf(c_204,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_203,c_149]) ).
cnf(c_206,plain,
( ~ horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_199,c_66]) ).
cnf(c_210,plain,
( ~ horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_202,c_57]) ).
cnf(c_599,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_206,c_204]) ).
cnf(c_600,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_599]) ).
cnf(c_601,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_600]) ).
cnf(c_211,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_601]) ).
cnf(c_213,plain,
( ~ horizontal_5_1
| horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_211,c_100]) ).
cnf(c_602,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_213,c_149]) ).
cnf(c_215,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_602]) ).
cnf(c_216,plain,
( horizontal_5_4
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_215,c_135]) ).
cnf(c_217,plain,
( ~ horizontal_5_3
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_216,c_106]) ).
cnf(c_603,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_217,c_197]) ).
cnf(c_604,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_603]) ).
cnf(c_605,plain,
( horizontal_3_2
| horizontal_5_2
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_604]) ).
cnf(c_218,plain,
( horizontal_5_2
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_605]) ).
cnf(c_220,plain,
( ~ horizontal_5_1
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_218,c_100]) ).
cnf(c_606,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_220,c_149]) ).
cnf(c_221,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_606]) ).
cnf(c_607,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_221,c_126]) ).
cnf(c_608,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_607]) ).
cnf(c_223,plain,
( vertical_2_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_608]) ).
cnf(c_226,plain,
( ~ horizontal_2_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_223,c_43]) ).
cnf(c_609,plain,
( horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_226,c_196]) ).
cnf(c_227,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_609]) ).
cnf(c_610,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_227,c_171]) ).
cnf(c_228,plain,
( horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_610]) ).
cnf(c_611,plain,
( vertical_2_5
| horizontal_3_4
| horizontal_3_4
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_228,c_137]) ).
cnf(c_229,plain,
( vertical_2_5
| horizontal_3_4
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_611]) ).
cnf(c_230,plain,
( ~ vertical_1_5
| horizontal_3_4
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_229,c_51]) ).
cnf(c_612,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_230,c_10]) ).
cnf(c_231,plain,
( horizontal_3_4
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_612]) ).
cnf(c_232,plain,
( horizontal_5_2
| horizontal_5_3
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_231,c_125]) ).
cnf(c_613,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_5_2
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_232,c_157]) ).
cnf(c_614,plain,
( horizontal_1_4
| horizontal_5_2
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_613]) ).
cnf(c_234,plain,
( horizontal_5_2
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_614]) ).
cnf(c_235,plain,
( ~ horizontal_5_1
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_234,c_100]) ).
cnf(c_615,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_235,c_149]) ).
cnf(c_236,plain,
( horizontal_3_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_615]) ).
cnf(c_237,plain,
( ~ horizontal_3_3
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_236,c_67]) ).
cnf(c_616,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_1_4
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_237,c_227]) ).
cnf(c_617,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_616]) ).
cnf(c_618,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_617]) ).
cnf(c_238,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_618]) ).
cnf(c_619,plain,
( horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_238,c_166]) ).
cnf(c_239,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_619]) ).
cnf(c_240,plain,
( horizontal_5_2
| horizontal_5_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_239,c_127]) ).
cnf(c_620,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_240,c_157]) ).
cnf(c_241,plain,
( horizontal_3_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_620]) ).
cnf(c_242,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_240,c_144]) ).
cnf(c_243,plain,
( ~ horizontal_5_1
| horizontal_3_4
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_241,c_100]) ).
cnf(c_621,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_243,c_149]) ).
cnf(c_244,plain,
( horizontal_3_4
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_621]) ).
cnf(c_622,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_244,c_148]) ).
cnf(c_245,plain,
( horizontal_3_4
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_622]) ).
cnf(c_248,plain,
( ~ horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_242,c_66]) ).
cnf(c_623,plain,
( horizontal_3_1
| horizontal_1_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_248,c_245]) ).
cnf(c_624,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_623]) ).
cnf(c_249,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_624]) ).
cnf(c_250,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_249,c_100]) ).
cnf(c_625,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_250,c_149]) ).
cnf(c_251,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_625]) ).
cnf(c_252,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_251,c_135]) ).
cnf(c_253,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_252,c_106]) ).
cnf(c_626,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_253,c_240]) ).
cnf(c_627,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_626]) ).
cnf(c_628,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_627]) ).
cnf(c_254,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_628]) ).
cnf(c_255,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_254,c_100]) ).
cnf(c_629,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_255,c_149]) ).
cnf(c_256,plain,
( horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_629]) ).
cnf(c_258,plain,
( ~ horizontal_4_2
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_256,c_85]) ).
cnf(c_630,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_1_4
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_258,c_239]) ).
cnf(c_631,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_630]) ).
cnf(c_632,plain,
( horizontal_4_1
| horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_631]) ).
cnf(c_259,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_632]) ).
cnf(c_633,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_259,c_148]) ).
cnf(c_260,plain,
( horizontal_3_1
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_633]) ).
cnf(c_634,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_260,c_210]) ).
cnf(c_261,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_634]) ).
cnf(c_635,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_261,c_129]) ).
cnf(c_636,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_635]) ).
cnf(c_262,plain,
( vertical_2_3
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_636]) ).
cnf(c_263,plain,
( ~ horizontal_2_2
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_262,c_43]) ).
cnf(c_637,plain,
( horizontal_1_4
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_263,c_196]) ).
cnf(c_264,plain,
( horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_637]) ).
cnf(c_265,plain,
( horizontal_5_1
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_264,c_119]) ).
cnf(c_638,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_265,c_203]) ).
cnf(c_639,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_638]) ).
cnf(c_640,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_639]) ).
cnf(c_641,plain,
( horizontal_3_4
| horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_640]) ).
cnf(c_266,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_641]) ).
cnf(c_642,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_266,c_206]) ).
cnf(c_643,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_642]) ).
cnf(c_644,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_5_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_643]) ).
cnf(c_267,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_644]) ).
cnf(c_269,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_267,c_139]) ).
cnf(c_270,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_267,c_100]) ).
cnf(c_273,plain,
( ~ horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_269,c_57]) ).
cnf(c_645,plain,
( horizontal_1_4
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_273,c_260]) ).
cnf(c_274,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_645]) ).
cnf(c_275,plain,
( horizontal_5_4
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_274,c_135]) ).
cnf(c_276,plain,
( ~ horizontal_5_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_275,c_106]) ).
cnf(c_646,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_276,c_197]) ).
cnf(c_647,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_646]) ).
cnf(c_648,plain,
( horizontal_3_2
| horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_647]) ).
cnf(c_277,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_648]) ).
cnf(c_649,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_277,c_139]) ).
cnf(c_650,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_649]) ).
cnf(c_279,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_650]) ).
cnf(c_283,plain,
( ~ horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_279,c_57]) ).
cnf(c_651,plain,
( horizontal_1_4
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_283,c_260]) ).
cnf(c_284,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_651]) ).
cnf(c_652,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_284,c_126]) ).
cnf(c_653,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_652]) ).
cnf(c_286,plain,
( vertical_2_3
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_653]) ).
cnf(c_287,plain,
( ~ horizontal_2_2
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_286,c_43]) ).
cnf(c_654,plain,
( horizontal_1_4
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_287,c_196]) ).
cnf(c_288,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_654]) ).
cnf(c_655,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_288,c_129]) ).
cnf(c_656,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_655]) ).
cnf(c_289,plain,
( vertical_2_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_656]) ).
cnf(c_291,plain,
( ~ horizontal_2_2
| horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_289,c_43]) ).
cnf(c_657,plain,
( horizontal_1_4
| horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_291,c_196]) ).
cnf(c_292,plain,
( horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_657]) ).
cnf(c_293,plain,
( horizontal_5_1
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_292,c_119]) ).
cnf(c_658,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_293,c_270]) ).
cnf(c_659,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_658]) ).
cnf(c_660,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_659]) ).
cnf(c_294,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_660]) ).
cnf(c_295,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_294,c_135]) ).
cnf(c_296,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_295,c_106]) ).
cnf(c_661,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_1_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_296,c_197]) ).
cnf(c_662,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_661]) ).
cnf(c_663,plain,
( horizontal_3_2
| horizontal_5_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_662]) ).
cnf(c_297,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_663]) ).
cnf(c_299,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_297,c_100]) ).
cnf(c_664,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_1_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_299,c_293]) ).
cnf(c_665,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_664]) ).
cnf(c_666,plain,
( horizontal_3_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_665]) ).
cnf(c_301,plain,
( horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_666]) ).
cnf(c_667,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_301,c_126]) ).
cnf(c_668,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_667]) ).
cnf(c_303,plain,
( vertical_2_3
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_668]) ).
cnf(c_305,plain,
( ~ horizontal_2_2
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_303,c_43]) ).
cnf(c_669,plain,
( horizontal_1_4
| horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_305,c_196]) ).
cnf(c_306,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_669]) ).
cnf(c_670,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_306,c_171]) ).
cnf(c_307,plain,
( horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_670]) ).
cnf(c_671,plain,
( vertical_2_5
| horizontal_3_4
| horizontal_3_4
| horizontal_4_3
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_307,c_137]) ).
cnf(c_308,plain,
( vertical_2_5
| horizontal_3_4
| horizontal_4_3
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_671]) ).
cnf(c_309,plain,
( ~ vertical_1_5
| horizontal_3_4
| horizontal_4_3
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_308,c_51]) ).
cnf(c_672,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_4_3
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_309,c_10]) ).
cnf(c_310,plain,
( horizontal_3_4
| horizontal_4_3
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_672]) ).
cnf(c_311,plain,
( horizontal_5_2
| horizontal_5_3
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_310,c_125]) ).
cnf(c_312,plain,
( ~ horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_310,c_85]) ).
cnf(c_673,plain,
( horizontal_1_4
| horizontal_3_4
| horizontal_5_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_311,c_157]) ).
cnf(c_674,plain,
( horizontal_1_4
| horizontal_5_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_673]) ).
cnf(c_313,plain,
( horizontal_5_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_674]) ).
cnf(c_314,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_313,c_139]) ).
cnf(c_315,plain,
( ~ horizontal_5_1
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_313,c_100]) ).
cnf(c_317,plain,
( ~ horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_314,c_57]) ).
cnf(c_675,plain,
( horizontal_1_4
| horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_317,c_260]) ).
cnf(c_318,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_675]) ).
cnf(c_676,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_1_4
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_318,c_312]) ).
cnf(c_677,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_676]) ).
cnf(c_678,plain,
( horizontal_3_4
| horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_677]) ).
cnf(c_319,plain,
( horizontal_4_1
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_678]) ).
cnf(c_320,plain,
( horizontal_5_1
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_319,c_119]) ).
cnf(c_679,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_1_4
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_320,c_315]) ).
cnf(c_680,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_679]) ).
cnf(c_681,plain,
( horizontal_3_4
| horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_680]) ).
cnf(c_321,plain,
( horizontal_3_4
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_681]) ).
cnf(c_322,plain,
( ~ horizontal_3_3
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_321,c_67]) ).
cnf(c_682,plain,
( horizontal_3_2
| horizontal_1_4
| horizontal_3_2
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_322,c_306]) ).
cnf(c_683,plain,
( horizontal_3_2
| horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_682]) ).
cnf(c_323,plain,
( horizontal_3_2
| horizontal_1_4 ),
inference(copy,[status(thm)],[c_683]) ).
cnf(c_324,plain,
( ~ horizontal_3_1
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_323,c_55]) ).
cnf(c_684,plain,
( horizontal_1_4
| horizontal_1_4 ),
inference(resolve,[status(thm)],[c_324,c_260]) ).
cnf(c_325,plain,
horizontal_1_4,
inference(copy,[status(thm)],[c_684]) ).
cnf(c_326,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_325,c_189]) ).
cnf(c_328,plain,
~ vertical_1_4,
inference(resolve,[status(thm)],[c_325,c_33]) ).
cnf(c_331,plain,
( horizontal_2_3
| horizontal_2_4
| ~ horizontal_3_3 ),
inference(resolve,[status(thm)],[c_328,c_117]) ).
cnf(c_332,plain,
( horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_328,c_15]) ).
cnf(c_333,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_326,c_100]) ).
cnf(c_685,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_333,c_149]) ).
cnf(c_334,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_685]) ).
cnf(c_335,plain,
( horizontal_5_4
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_334,c_135]) ).
cnf(c_336,plain,
( ~ horizontal_5_3
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_335,c_106]) ).
cnf(c_686,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_336,c_169]) ).
cnf(c_687,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_686]) ).
cnf(c_688,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_687]) ).
cnf(c_337,plain,
( horizontal_5_2
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_688]) ).
cnf(c_338,plain,
( ~ horizontal_5_1
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_337,c_100]) ).
cnf(c_689,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_338,c_149]) ).
cnf(c_339,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_4_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_689]) ).
cnf(c_341,plain,
( ~ horizontal_4_2
| horizontal_2_3
| horizontal_2_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_339,c_85]) ).
cnf(c_690,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_2_3
| horizontal_2_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(resolve,[status(thm)],[c_341,c_167]) ).
cnf(c_691,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_2_3
| horizontal_2_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_690]) ).
cnf(c_692,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_691]) ).
cnf(c_342,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1 ),
inference(copy,[status(thm)],[c_692]) ).
cnf(c_693,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_2_4
| horizontal_2_2
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_342,c_148]) ).
cnf(c_343,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_2_2
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_693]) ).
cnf(c_694,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_4
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_343,c_146]) ).
cnf(c_344,plain,
( horizontal_2_3
| horizontal_2_4
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_694]) ).
cnf(c_345,plain,
( horizontal_3_4
| horizontal_5_4
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_344,c_154]) ).
cnf(c_348,plain,
( ~ horizontal_5_3
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_345,c_106]) ).
cnf(c_695,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_348,c_169]) ).
cnf(c_349,plain,
( horizontal_5_2
| horizontal_3_1
| horizontal_4_1
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_695]) ).
cnf(c_352,plain,
( ~ horizontal_5_1
| horizontal_3_1
| horizontal_4_1
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_349,c_100]) ).
cnf(c_696,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_4_1
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_352,c_149]) ).
cnf(c_353,plain,
( horizontal_3_1
| horizontal_4_1
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_696]) ).
cnf(c_697,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_353,c_148]) ).
cnf(c_354,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_697]) ).
cnf(c_698,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_354,c_181]) ).
cnf(c_699,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_698]) ).
cnf(c_355,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_699]) ).
cnf(c_356,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_355,c_100]) ).
cnf(c_700,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_356,c_149]) ).
cnf(c_357,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_700]) ).
cnf(c_358,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_357,c_135]) ).
cnf(c_359,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_358,c_106]) ).
cnf(c_701,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_359,c_169]) ).
cnf(c_702,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_701]) ).
cnf(c_703,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_702]) ).
cnf(c_360,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_703]) ).
cnf(c_361,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_360,c_100]) ).
cnf(c_704,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_361,c_149]) ).
cnf(c_362,plain,
( horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_704]) ).
cnf(c_364,plain,
( ~ horizontal_4_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_362,c_85]) ).
cnf(c_705,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_364,c_167]) ).
cnf(c_706,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_705]) ).
cnf(c_707,plain,
( horizontal_2_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_706]) ).
cnf(c_365,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_707]) ).
cnf(c_708,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_365,c_148]) ).
cnf(c_366,plain,
( horizontal_3_1
| horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_708]) ).
cnf(c_709,plain,
( horizontal_2_2
| horizontal_2_3
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_366,c_146]) ).
cnf(c_367,plain,
( horizontal_2_3
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_709]) ).
cnf(c_710,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_367,c_174]) ).
cnf(c_368,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_3_1
| horizontal_4_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_710]) ).
cnf(c_711,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_368,c_148]) ).
cnf(c_371,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_711]) ).
cnf(c_712,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_371,c_180]) ).
cnf(c_713,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_2_2
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_712]) ).
cnf(c_372,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_713]) ).
cnf(c_382,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_372,c_100]) ).
cnf(c_714,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_382,c_149]) ).
cnf(c_388,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_714]) ).
cnf(c_390,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_388,c_135]) ).
cnf(c_392,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_390,c_106]) ).
cnf(c_715,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_392,c_169]) ).
cnf(c_716,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_715]) ).
cnf(c_717,plain,
( horizontal_5_2
| horizontal_2_2
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_716]) ).
cnf(c_393,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_717]) ).
cnf(c_394,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_393,c_100]) ).
cnf(c_718,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_394,c_149]) ).
cnf(c_395,plain,
( horizontal_4_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_718]) ).
cnf(c_397,plain,
( ~ horizontal_4_2
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_395,c_85]) ).
cnf(c_719,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_397,c_167]) ).
cnf(c_720,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_719]) ).
cnf(c_721,plain,
( horizontal_2_2
| horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_720]) ).
cnf(c_398,plain,
( horizontal_4_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_721]) ).
cnf(c_722,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_398,c_148]) ).
cnf(c_399,plain,
( horizontal_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_722]) ).
cnf(c_723,plain,
( horizontal_2_2
| horizontal_3_1
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_399,c_147]) ).
cnf(c_400,plain,
( horizontal_3_1
| horizontal_2_2 ),
inference(copy,[status(thm)],[c_723]) ).
cnf(c_724,plain,
( horizontal_2_2
| horizontal_2_2 ),
inference(resolve,[status(thm)],[c_400,c_146]) ).
cnf(c_401,plain,
horizontal_2_2,
inference(copy,[status(thm)],[c_724]) ).
cnf(c_402,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[status(thm)],[c_401,c_160]) ).
cnf(c_403,plain,
~ vertical_2_3,
inference(resolve,[status(thm)],[c_401,c_43]) ).
cnf(c_404,plain,
~ horizontal_2_3,
inference(resolve,[status(thm)],[c_401,c_42]) ).
cnf(c_406,plain,
( horizontal_3_2
| horizontal_3_3
| ~ horizontal_4_2 ),
inference(resolve,[status(thm)],[c_403,c_129]) ).
cnf(c_407,plain,
( horizontal_3_2
| horizontal_3_3
| ~ horizontal_4_3 ),
inference(resolve,[status(thm)],[c_403,c_126]) ).
cnf(c_409,plain,
( vertical_2_4
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_404,c_332]) ).
cnf(c_410,plain,
( horizontal_2_4
| ~ horizontal_3_3 ),
inference(resolve,[status(thm)],[c_404,c_331]) ).
cnf(c_413,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2 ),
inference(resolve,[status(thm)],[c_402,c_144]) ).
cnf(c_414,plain,
( ~ vertical_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2 ),
inference(resolve,[status(thm)],[c_413,c_70]) ).
cnf(c_415,plain,
( ~ horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2 ),
inference(resolve,[status(thm)],[c_413,c_66]) ).
cnf(c_416,plain,
( horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2 ),
inference(resolve,[status(thm)],[c_414,c_409]) ).
cnf(c_417,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_416,c_139]) ).
cnf(c_418,plain,
( ~ horizontal_5_1
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_416,c_100]) ).
cnf(c_419,plain,
( horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_418,c_149]) ).
cnf(c_420,plain,
( horizontal_5_4
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_419,c_135]) ).
cnf(c_421,plain,
( ~ horizontal_5_3
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_420,c_106]) ).
cnf(c_422,plain,
( ~ horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_417,c_57]) ).
cnf(c_725,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_421,c_402]) ).
cnf(c_726,plain,
( horizontal_3_2
| horizontal_5_2
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_725]) ).
cnf(c_423,plain,
( horizontal_5_2
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_726]) ).
cnf(c_424,plain,
( ~ horizontal_5_1
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_423,c_100]) ).
cnf(c_727,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_424,c_149]) ).
cnf(c_425,plain,
( horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_727]) ).
cnf(c_728,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_3_1
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_425,c_407]) ).
cnf(c_729,plain,
( horizontal_3_2
| horizontal_3_1
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_728]) ).
cnf(c_426,plain,
( horizontal_3_1
| horizontal_2_4
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_729]) ).
cnf(c_730,plain,
( horizontal_2_4
| horizontal_3_1
| horizontal_2_4
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_426,c_410]) ).
cnf(c_427,plain,
( horizontal_3_1
| horizontal_2_4
| horizontal_3_2 ),
inference(copy,[status(thm)],[c_730]) ).
cnf(c_731,plain,
( horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_427,c_166]) ).
cnf(c_428,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_731]) ).
cnf(c_429,plain,
( horizontal_5_2
| horizontal_5_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_428,c_127]) ).
cnf(c_430,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_429,c_144]) ).
cnf(c_431,plain,
( ~ vertical_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_430,c_70]) ).
cnf(c_732,plain,
( horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_431,c_409]) ).
cnf(c_432,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_732]) ).
cnf(c_433,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_432,c_100]) ).
cnf(c_733,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_433,c_149]) ).
cnf(c_434,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_733]) ).
cnf(c_435,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_434,c_135]) ).
cnf(c_436,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_435,c_106]) ).
cnf(c_734,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_436,c_429]) ).
cnf(c_735,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_734]) ).
cnf(c_736,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_735]) ).
cnf(c_437,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_736]) ).
cnf(c_438,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_437,c_100]) ).
cnf(c_737,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_438,c_149]) ).
cnf(c_439,plain,
( horizontal_4_3
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_737]) ).
cnf(c_441,plain,
( ~ horizontal_4_2
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_439,c_85]) ).
cnf(c_738,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_2_4
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_441,c_428]) ).
cnf(c_739,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_738]) ).
cnf(c_740,plain,
( horizontal_4_1
| horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_739]) ).
cnf(c_442,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_740]) ).
cnf(c_741,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_442,c_148]) ).
cnf(c_443,plain,
( horizontal_3_1
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_741]) ).
cnf(c_742,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_443,c_422]) ).
cnf(c_444,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_742]) ).
cnf(c_445,plain,
( horizontal_5_4
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_444,c_135]) ).
cnf(c_446,plain,
( ~ horizontal_5_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_445,c_106]) ).
cnf(c_743,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_446,c_402]) ).
cnf(c_744,plain,
( horizontal_3_2
| horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_743]) ).
cnf(c_447,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_744]) ).
cnf(c_745,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_447,c_139]) ).
cnf(c_746,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_745]) ).
cnf(c_448,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_746]) ).
cnf(c_450,plain,
( ~ horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_448,c_57]) ).
cnf(c_747,plain,
( horizontal_2_4
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_450,c_443]) ).
cnf(c_451,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_747]) ).
cnf(c_748,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_451,c_407]) ).
cnf(c_749,plain,
( horizontal_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_748]) ).
cnf(c_452,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_749]) ).
cnf(c_750,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_452,c_406]) ).
cnf(c_751,plain,
( horizontal_3_2
| horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_750]) ).
cnf(c_453,plain,
( horizontal_4_1
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_751]) ).
cnf(c_454,plain,
( horizontal_5_1
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_453,c_119]) ).
cnf(c_752,plain,
( horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_454,c_418]) ).
cnf(c_753,plain,
( horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_752]) ).
cnf(c_754,plain,
( horizontal_2_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_753]) ).
cnf(c_455,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_754]) ).
cnf(c_456,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_455,c_135]) ).
cnf(c_457,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_456,c_106]) ).
cnf(c_755,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_457,c_402]) ).
cnf(c_756,plain,
( horizontal_3_2
| horizontal_5_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_755]) ).
cnf(c_458,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_756]) ).
cnf(c_459,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_458,c_100]) ).
cnf(c_757,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_2_4
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_459,c_454]) ).
cnf(c_758,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_757]) ).
cnf(c_759,plain,
( horizontal_3_2
| horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_758]) ).
cnf(c_460,plain,
( horizontal_4_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_759]) ).
cnf(c_760,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_460,c_407]) ).
cnf(c_761,plain,
( horizontal_3_2
| horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_760]) ).
cnf(c_461,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_761]) ).
cnf(c_762,plain,
( horizontal_2_4
| horizontal_3_2
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_461,c_410]) ).
cnf(c_462,plain,
( horizontal_3_2
| horizontal_2_4 ),
inference(copy,[status(thm)],[c_762]) ).
cnf(c_463,plain,
( ~ horizontal_3_1
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_462,c_55]) ).
cnf(c_763,plain,
( horizontal_2_4
| horizontal_2_4 ),
inference(resolve,[status(thm)],[c_463,c_443]) ).
cnf(c_464,plain,
horizontal_2_4,
inference(copy,[status(thm)],[c_763]) ).
cnf(c_465,plain,
( horizontal_3_4
| horizontal_5_4 ),
inference(resolve,[status(thm)],[c_464,c_154]) ).
cnf(c_466,plain,
~ vertical_2_5,
inference(resolve,[status(thm)],[c_464,c_50]) ).
cnf(c_468,plain,
( horizontal_3_4
| ~ horizontal_4_4 ),
inference(resolve,[status(thm)],[c_466,c_137]) ).
cnf(c_472,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_465,c_143]) ).
cnf(c_473,plain,
( ~ horizontal_5_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_465,c_106]) ).
cnf(c_474,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_473,c_402]) ).
cnf(c_475,plain,
( ~ horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_472,c_69]) ).
cnf(c_476,plain,
( vertical_3_2
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_474,c_139]) ).
cnf(c_477,plain,
( ~ horizontal_5_1
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_474,c_100]) ).
cnf(c_478,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_477,c_149]) ).
cnf(c_479,plain,
( ~ horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_476,c_57]) ).
cnf(c_764,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_478,c_415]) ).
cnf(c_765,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_2
| horizontal_5_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_764]) ).
cnf(c_480,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_765]) ).
cnf(c_481,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_480,c_100]) ).
cnf(c_766,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_481,c_149]) ).
cnf(c_482,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_766]) ).
cnf(c_483,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_482,c_135]) ).
cnf(c_484,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_483,c_106]) ).
cnf(c_767,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_5_2
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_484,c_402]) ).
cnf(c_768,plain,
( horizontal_3_2
| horizontal_5_2
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_767]) ).
cnf(c_485,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_768]) ).
cnf(c_486,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_485,c_100]) ).
cnf(c_769,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_486,c_149]) ).
cnf(c_487,plain,
( horizontal_4_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_769]) ).
cnf(c_770,plain,
( horizontal_3_2
| horizontal_3_3
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_487,c_407]) ).
cnf(c_771,plain,
( horizontal_3_2
| horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_770]) ).
cnf(c_488,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_771]) ).
cnf(c_489,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_488,c_475]) ).
cnf(c_772,plain,
( horizontal_3_4
| horizontal_4_3
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_489,c_468]) ).
cnf(c_490,plain,
( horizontal_4_3
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(copy,[status(thm)],[c_772]) ).
cnf(c_491,plain,
( horizontal_5_2
| horizontal_5_3
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_490,c_125]) ).
cnf(c_773,plain,
( horizontal_3_4
| horizontal_5_2
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_491,c_473]) ).
cnf(c_492,plain,
( horizontal_5_2
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(copy,[status(thm)],[c_773]) ).
cnf(c_493,plain,
( ~ horizontal_5_1
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_492,c_100]) ).
cnf(c_774,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_493,c_149]) ).
cnf(c_494,plain,
( horizontal_3_4
| horizontal_3_1
| horizontal_3_2 ),
inference(copy,[status(thm)],[c_774]) ).
cnf(c_495,plain,
( ~ horizontal_3_3
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_494,c_67]) ).
cnf(c_775,plain,
( horizontal_3_1
| horizontal_3_2
| horizontal_3_1
| horizontal_3_2 ),
inference(resolve,[status(thm)],[c_495,c_488]) ).
cnf(c_776,plain,
( horizontal_3_1
| horizontal_3_1
| horizontal_3_2 ),
inference(copy,[status(thm)],[c_775]) ).
cnf(c_496,plain,
( horizontal_3_1
| horizontal_3_2 ),
inference(copy,[status(thm)],[c_776]) ).
cnf(c_777,plain,
( horizontal_3_1
| horizontal_4_1
| horizontal_4_2
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_496,c_166]) ).
cnf(c_497,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_777]) ).
cnf(c_498,plain,
( horizontal_5_2
| horizontal_5_3
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_497,c_127]) ).
cnf(c_499,plain,
( horizontal_3_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_498,c_473]) ).
cnf(c_500,plain,
( vertical_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_498,c_144]) ).
cnf(c_501,plain,
( ~ horizontal_5_1
| horizontal_3_4
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_499,c_100]) ).
cnf(c_778,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_501,c_149]) ).
cnf(c_502,plain,
( horizontal_3_4
| horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_778]) ).
cnf(c_504,plain,
( ~ horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_500,c_66]) ).
cnf(c_779,plain,
( horizontal_3_1
| horizontal_3_4
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_502,c_148]) ).
cnf(c_505,plain,
( horizontal_3_4
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_779]) ).
cnf(c_780,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_504,c_505]) ).
cnf(c_507,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_5_2
| horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_780]) ).
cnf(c_508,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_507,c_100]) ).
cnf(c_781,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_508,c_149]) ).
cnf(c_509,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_781]) ).
cnf(c_510,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_509,c_135]) ).
cnf(c_511,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_510,c_106]) ).
cnf(c_782,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_511,c_498]) ).
cnf(c_783,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_782]) ).
cnf(c_512,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_783]) ).
cnf(c_513,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_512,c_100]) ).
cnf(c_784,plain,
( horizontal_3_1
| horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_513,c_149]) ).
cnf(c_514,plain,
( horizontal_4_3
| horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_784]) ).
cnf(c_516,plain,
( ~ horizontal_4_2
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_514,c_85]) ).
cnf(c_785,plain,
( horizontal_4_1
| horizontal_3_1
| horizontal_4_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_516,c_497]) ).
cnf(c_786,plain,
( horizontal_4_1
| horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_785]) ).
cnf(c_517,plain,
( horizontal_4_1
| horizontal_3_1 ),
inference(copy,[status(thm)],[c_786]) ).
cnf(c_787,plain,
( horizontal_3_1
| horizontal_3_1 ),
inference(resolve,[status(thm)],[c_517,c_148]) ).
cnf(c_518,plain,
horizontal_3_1,
inference(copy,[status(thm)],[c_787]) ).
cnf(c_519,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_518,c_479]) ).
cnf(c_520,plain,
~ vertical_3_2,
inference(resolve,[status(thm)],[c_518,c_57]) ).
cnf(c_521,plain,
~ horizontal_3_2,
inference(resolve,[status(thm)],[c_518,c_55]) ).
cnf(c_524,plain,
( horizontal_4_1
| horizontal_4_2
| ~ horizontal_5_2 ),
inference(resolve,[status(thm)],[c_520,c_139]) ).
cnf(c_526,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_521,c_519]) ).
cnf(c_527,plain,
( ~ horizontal_5_1
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_521,c_477]) ).
cnf(c_529,plain,
( ~ horizontal_3_4
| horizontal_4_3
| horizontal_4_4
| horizontal_3_3
| horizontal_5_2 ),
inference(resolve,[status(thm)],[c_521,c_415]) ).
cnf(c_532,plain,
( horizontal_3_3
| ~ horizontal_4_3 ),
inference(resolve,[status(thm)],[c_521,c_407]) ).
cnf(c_533,plain,
( horizontal_3_3
| ~ horizontal_4_2 ),
inference(resolve,[status(thm)],[c_521,c_406]) ).
cnf(c_534,plain,
( horizontal_3_3
| horizontal_5_2
| horizontal_5_3 ),
inference(resolve,[status(thm)],[c_521,c_402]) ).
cnf(c_788,plain,
( horizontal_3_3
| horizontal_4_1
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_526,c_533]) ).
cnf(c_537,plain,
( horizontal_4_1
| horizontal_3_3
| horizontal_3_4 ),
inference(copy,[status(thm)],[c_788]) ).
cnf(c_538,plain,
( horizontal_5_1
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_537,c_119]) ).
cnf(c_789,plain,
( horizontal_3_3
| horizontal_3_4
| horizontal_3_3
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_538,c_527]) ).
cnf(c_790,plain,
( horizontal_3_3
| horizontal_3_3
| horizontal_3_4 ),
inference(copy,[status(thm)],[c_789]) ).
cnf(c_539,plain,
( horizontal_3_3
| horizontal_3_4 ),
inference(copy,[status(thm)],[c_790]) ).
cnf(c_791,plain,
( horizontal_3_3
| horizontal_4_3
| horizontal_4_4
| horizontal_3_3
| horizontal_5_2 ),
inference(resolve,[status(thm)],[c_529,c_539]) ).
cnf(c_540,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_3
| horizontal_5_2 ),
inference(copy,[status(thm)],[c_791]) ).
cnf(c_541,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_4_4
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_540,c_524]) ).
cnf(c_542,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_4_4
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_540,c_100]) ).
cnf(c_543,plain,
( horizontal_5_4
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_541,c_135]) ).
cnf(c_544,plain,
( ~ horizontal_5_3
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_543,c_106]) ).
cnf(c_792,plain,
( horizontal_3_3
| horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_544,c_534]) ).
cnf(c_545,plain,
( horizontal_5_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_792]) ).
cnf(c_793,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_545,c_524]) ).
cnf(c_794,plain,
( horizontal_4_1
| horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_793]) ).
cnf(c_546,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_4_3
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_794]) ).
cnf(c_795,plain,
( horizontal_3_3
| horizontal_4_1
| horizontal_4_2
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_546,c_532]) ).
cnf(c_547,plain,
( horizontal_4_1
| horizontal_4_2
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_795]) ).
cnf(c_796,plain,
( horizontal_3_3
| horizontal_4_1
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_547,c_533]) ).
cnf(c_548,plain,
( horizontal_4_1
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_796]) ).
cnf(c_549,plain,
( horizontal_5_1
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_548,c_119]) ).
cnf(c_797,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_549,c_542]) ).
cnf(c_550,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_797]) ).
cnf(c_551,plain,
( horizontal_5_4
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_550,c_135]) ).
cnf(c_552,plain,
( ~ horizontal_5_3
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_551,c_106]) ).
cnf(c_798,plain,
( horizontal_3_3
| horizontal_5_2
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_552,c_534]) ).
cnf(c_553,plain,
( horizontal_5_2
| horizontal_4_3
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_798]) ).
cnf(c_554,plain,
( ~ horizontal_5_1
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_553,c_100]) ).
cnf(c_799,plain,
( horizontal_3_3
| horizontal_4_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_554,c_549]) ).
cnf(c_555,plain,
( horizontal_4_3
| horizontal_3_3 ),
inference(copy,[status(thm)],[c_799]) ).
cnf(c_800,plain,
( horizontal_3_3
| horizontal_3_3 ),
inference(resolve,[status(thm)],[c_555,c_532]) ).
cnf(c_556,plain,
horizontal_3_3,
inference(copy,[status(thm)],[c_800]) ).
cnf(c_557,plain,
( horizontal_4_3
| horizontal_4_4
| horizontal_3_4 ),
inference(resolve,[status(thm)],[c_556,c_475]) ).
cnf(c_559,plain,
~ horizontal_3_4,
inference(resolve,[status(thm)],[c_556,c_67]) ).
cnf(c_564,plain,
( horizontal_4_3
| horizontal_4_4 ),
inference(resolve,[status(thm)],[c_559,c_557]) ).
cnf(c_565,plain,
~ horizontal_5_3,
inference(resolve,[status(thm)],[c_559,c_473]) ).
cnf(c_567,plain,
~ horizontal_4_4,
inference(resolve,[status(thm)],[c_559,c_468]) ).
cnf(c_572,plain,
( horizontal_5_2
| ~ horizontal_4_3 ),
inference(resolve,[status(thm)],[c_565,c_125]) ).
cnf(c_575,plain,
horizontal_4_3,
inference(resolve,[status(thm)],[c_567,c_564]) ).
cnf(c_577,plain,
horizontal_5_2,
inference(resolve,[status(thm)],[c_575,c_572]) ).
cnf(c_578,plain,
~ horizontal_4_2,
inference(resolve,[status(thm)],[c_575,c_85]) ).
cnf(c_801,plain,
( horizontal_4_1
| horizontal_4_2 ),
inference(resolve,[status(thm)],[c_577,c_524]) ).
cnf(c_580,plain,
horizontal_4_1,
inference(resolve,[status(thm)],[c_578,c_801]) ).
cnf(c_582,plain,
~ horizontal_5_1,
inference(resolve,[status(thm)],[c_577,c_100]) ).
cnf(c_802,plain,
horizontal_5_1,
inference(resolve,[status(thm)],[c_580,c_119]) ).
cnf(c_583,plain,
$false,
inference(resolve,[status(thm)],[c_582,c_802]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n010.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sat Sep 26 05:05:01 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/0.47 % Process 2532203 was started by sandbox2 on n010,
% 0.20/0.47 % Sat Sep 26 05:05:01 2026
% 0.20/0.47 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.20/0.47
% 0.20/0.47 % From the command line: assign(max_seconds, 300).
% 0.23/0.59
% 0.23/0.59 % given #500 (T,wt=3): 528 horizontal_3_4 | horizontal_5_2 | horizontal_3_3. [back_unit_del(474),unit_del(d,521)].
% 0.23/0.59
% 0.23/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.59
% 0.23/0.59 % Proof 1 at 0.06 (+ 0.03) seconds.
% 0.23/0.59 % Length of proof is 407.
% 0.23/0.59 % Level of proof is 273.
% 0.23/0.59 % Maximum clause weight is 9.000.
% 0.23/0.59 % Given clauses 521.
% 0.23/0.59
% 0.23/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------