%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:01:34 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 51
% Syntax : Number of clauses : 278 ( 27 unt; 65 nHn; 278 RR)
% Number of literals : 669 ( 0 equ; 444 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 38 ( 37 usr; 38 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unique_cover2_5_4,negated_conjecture,
( ~ horizontal_5_3
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_4) ).
cnf(unique_cover2_5_2,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_2) ).
cnf(uncovered3_1_2,negated_conjecture,
~ horizontal_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_1_2) ).
cnf(unique_cover4_4_5,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_5) ).
cnf(covered_5_5,negated_conjecture,
( vertical_4_5
| horizontal_5_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_5) ).
cnf(unique_cover5_4_5,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_5) ).
cnf(unique_cover5_4_1,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_1) ).
cnf(covered_5_1,negated_conjecture,
( vertical_4_1
| horizontal_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_1) ).
cnf(unique_cover6_5_4,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_4) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ vertical_1_1
| ~ vertical_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_1) ).
cnf(covered_1_1,negated_conjecture,
( vertical_1_1
| horizontal_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_1) ).
cnf(unique_cover6_5_2,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_2) ).
cnf(covered_5_3,negated_conjecture,
( vertical_4_3
| horizontal_5_2
| horizontal_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_3) ).
cnf(covered_3_1,negated_conjecture,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_1) ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_1) ).
cnf(unique_cover5_2_5,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_5) ).
cnf(covered_3_5,negated_conjecture,
( vertical_2_5
| horizontal_3_4
| vertical_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_5) ).
cnf(unique_cover4_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_3) ).
cnf(covered_4_4,negated_conjecture,
( vertical_3_4
| horizontal_4_3
| vertical_4_4
| horizontal_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_4) ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_3) ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_2) ).
cnf(covered_4_2,negated_conjecture,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_2) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_2) ).
cnf(unique_cover1_1_4,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_4) ).
cnf(covered_1_5,negated_conjecture,
( horizontal_1_4
| vertical_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_5) ).
cnf(unique_cover4_2_5,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_5) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_3) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_4) ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_2) ).
cnf(unique_cover1_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_4) ).
cnf(covered_3_3,negated_conjecture,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_3) ).
cnf(unique_cover1_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_3) ).
cnf(unique_cover5_3_4,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_4) ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_1) ).
cnf(unique_cover1_4_1,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_1) ).
cnf(unique_cover3_5_4,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_4) ).
cnf(uncovered2_1_2,negated_conjecture,
~ vertical_1_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_2) ).
cnf(covered_2_4,negated_conjecture,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_4) ).
cnf(unique_cover3_5_2,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_2) ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_2) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_2) ).
cnf(covered_2_2,negated_conjecture,
( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_2) ).
cnf(unique_cover6_4_5,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_5) ).
cnf(unique_cover2_2_3,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_3) ).
cnf(unique_cover5_4_3,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_3) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_3) ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_3) ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_2) ).
cnf(unique_cover1_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_3) ).
cnf(unique_cover2_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_4) ).
cnf(unique_cover6_3_4,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_4) ).
cnf(c_0_51,negated_conjecture,
( ~ horizontal_5_3
| ~ horizontal_5_4 ),
inference(fof_simplification,[status(thm)],[unique_cover2_5_4]) ).
cnf(c_0_52,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
inference(fof_simplification,[status(thm)],[unique_cover2_5_2]) ).
cnf(c_0_53,negated_conjecture,
~ horizontal_1_1,
inference(fof_simplification,[status(thm)],[uncovered3_1_2]) ).
cnf(c_0_54,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
inference(fof_simplification,[status(thm)],[unique_cover4_4_5]) ).
cnf(c_0_55,negated_conjecture,
( ~ horizontal_5_3
| ~ horizontal_5_4 ),
c_0_51 ).
cnf(c_0_56,negated_conjecture,
( vertical_4_5
| horizontal_5_4 ),
covered_5_5 ).
cnf(c_0_57,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_5 ),
inference(fof_simplification,[status(thm)],[unique_cover5_4_5]) ).
cnf(c_0_58,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_4_1 ),
inference(fof_simplification,[status(thm)],[unique_cover5_4_1]) ).
cnf(c_0_59,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
c_0_52 ).
cnf(c_0_60,negated_conjecture,
( vertical_4_1
| horizontal_5_1 ),
covered_5_1 ).
cnf(c_0_61,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
inference(fof_simplification,[status(thm)],[unique_cover6_5_4]) ).
cnf(c_0_62,negated_conjecture,
( ~ vertical_1_1
| ~ vertical_2_1 ),
inference(fof_simplification,[status(thm)],[unique_cover5_2_1]) ).
cnf(c_0_63,negated_conjecture,
( vertical_1_1
| horizontal_1_1 ),
covered_1_1 ).
cnf(c_0_64,negated_conjecture,
~ horizontal_1_1,
c_0_53 ).
cnf(c_0_65,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
c_0_54 ).
cnf(c_0_66,negated_conjecture,
( ~ horizontal_5_3
| vertical_4_5 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
inference(fof_simplification,[status(thm)],[unique_cover6_5_2]) ).
cnf(c_0_68,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_5 ),
c_0_57 ).
cnf(c_0_69,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_4_1 ),
c_0_58 ).
cnf(c_0_70,negated_conjecture,
( ~ horizontal_5_2
| vertical_4_1 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
c_0_61 ).
cnf(c_0_72,negated_conjecture,
( vertical_4_3
| horizontal_5_2
| horizontal_5_3 ),
covered_5_3 ).
cnf(c_0_73,negated_conjecture,
( ~ vertical_1_1
| ~ vertical_2_1 ),
c_0_62 ).
cnf(c_0_74,negated_conjecture,
vertical_1_1,
inference(sr,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
( ~ horizontal_4_4
| ~ horizontal_5_3 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
c_0_67 ).
cnf(c_0_77,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_5_3 ),
inference(spm,[status(thm)],[c_0_68,c_0_66]) ).
cnf(c_0_78,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( ~ vertical_4_4
| vertical_4_3
| horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
covered_3_1 ).
cnf(c_0_81,negated_conjecture,
~ vertical_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_82,negated_conjecture,
( ~ horizontal_4_4
| vertical_4_3
| horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_75,c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( ~ vertical_4_2
| vertical_4_1 ),
inference(spm,[status(thm)],[c_0_76,c_0_60]) ).
cnf(c_0_84,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
inference(fof_simplification,[status(thm)],[unique_cover3_4_1]) ).
cnf(c_0_85,negated_conjecture,
( ~ vertical_3_5
| vertical_4_3
| horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_77,c_0_72]) ).
cnf(c_0_86,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_4_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( horizontal_3_1
| vertical_3_1 ),
inference(sr,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_78,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_4_2 ),
inference(spm,[status(thm)],[c_0_69,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
c_0_84 ).
cnf(c_0_91,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_2_5 ),
inference(fof_simplification,[status(thm)],[unique_cover5_2_5]) ).
cnf(c_0_92,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_3_5
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_78,c_0_85]) ).
cnf(c_0_93,negated_conjecture,
( vertical_2_5
| horizontal_3_4
| vertical_3_5 ),
covered_3_5 ).
cnf(c_0_94,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
inference(fof_simplification,[status(thm)],[unique_cover4_4_3]) ).
cnf(c_0_95,negated_conjecture,
( ~ vertical_4_4
| horizontal_3_1
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
( vertical_3_4
| horizontal_4_3
| vertical_4_4
| horizontal_4_4 ),
covered_4_4 ).
cnf(c_0_97,negated_conjecture,
( ~ horizontal_4_4
| horizontal_3_1
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
inference(fof_simplification,[status(thm)],[unique_cover2_4_3]) ).
cnf(c_0_99,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
inference(fof_simplification,[status(thm)],[unique_cover6_3_2]) ).
cnf(c_0_100,negated_conjecture,
( ~ vertical_4_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_89,c_0_87]) ).
cnf(c_0_101,negated_conjecture,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
covered_4_2 ).
cnf(c_0_102,negated_conjecture,
( ~ horizontal_4_1
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_90,c_0_87]) ).
cnf(c_0_103,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_2 ),
inference(fof_simplification,[status(thm)],[unique_cover5_3_2]) ).
cnf(c_0_104,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
inference(fof_simplification,[status(thm)],[unique_cover1_1_4]) ).
cnf(c_0_105,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_2_5 ),
c_0_91 ).
cnf(c_0_106,negated_conjecture,
( horizontal_1_4
| vertical_1_5 ),
covered_1_5 ).
cnf(c_0_107,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
inference(fof_simplification,[status(thm)],[unique_cover4_2_5]) ).
cnf(c_0_108,negated_conjecture,
( ~ vertical_3_1
| vertical_2_5
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_109,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
c_0_94 ).
cnf(c_0_110,negated_conjecture,
( horizontal_3_1
| vertical_3_4
| horizontal_4_3
| vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_111,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
c_0_98 ).
cnf(c_0_112,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_1 ),
c_0_99 ).
cnf(c_0_113,negated_conjecture,
( horizontal_3_1
| vertical_3_2
| horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_114,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_2 ),
c_0_103 ).
cnf(c_0_115,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
inference(fof_simplification,[status(thm)],[unique_cover6_4_3]) ).
cnf(c_0_116,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
c_0_104 ).
cnf(c_0_117,negated_conjecture,
( ~ vertical_2_5
| horizontal_1_4 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_118,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
c_0_107 ).
cnf(c_0_119,negated_conjecture,
( vertical_2_5
| horizontal_3_1
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_108,c_0_87]) ).
cnf(c_0_120,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
inference(fof_simplification,[status(thm)],[unique_cover4_3_4]) ).
cnf(c_0_121,negated_conjecture,
( ~ horizontal_4_2
| horizontal_3_1
| vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_122,negated_conjecture,
( ~ vertical_2_2
| horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_123,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
c_0_115 ).
cnf(c_0_124,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
inference(fof_simplification,[status(thm)],[unique_cover3_3_2]) ).
cnf(c_0_125,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_5 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
inference(fof_simplification,[status(thm)],[unique_cover1_3_4]) ).
cnf(c_0_127,negated_conjecture,
( ~ horizontal_2_4
| horizontal_3_1
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_128,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
c_0_120 ).
cnf(c_0_129,negated_conjecture,
( ~ vertical_2_2
| vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_121]),c_0_122]) ).
cnf(c_0_130,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_123,c_0_122]) ).
cnf(c_0_131,negated_conjecture,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
covered_3_3 ).
cnf(c_0_132,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
c_0_124 ).
cnf(c_0_133,negated_conjecture,
( ~ vertical_1_4
| horizontal_3_1
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_125,c_0_119]) ).
cnf(c_0_134,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
c_0_126 ).
cnf(c_0_135,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_4_2
| horizontal_3_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_109,c_0_127]) ).
cnf(c_0_136,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
inference(fof_simplification,[status(thm)],[unique_cover1_2_3]) ).
cnf(c_0_137,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_138,negated_conjecture,
( ~ vertical_2_2
| vertical_2_3
| horizontal_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_139,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_4 ),
inference(fof_simplification,[status(thm)],[unique_cover5_3_4]) ).
cnf(c_0_140,negated_conjecture,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
inference(fof_simplification,[status(thm)],[unique_cover3_2_1]) ).
cnf(c_0_141,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_4_2
| horizontal_3_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_109,c_0_133]) ).
cnf(c_0_142,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_4
| ~ horizontal_4_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_143,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
c_0_136 ).
cnf(c_0_144,negated_conjecture,
( ~ vertical_2_2
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_145,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_4 ),
c_0_139 ).
cnf(c_0_146,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
inference(fof_simplification,[status(thm)],[unique_cover1_4_1]) ).
cnf(c_0_147,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
inference(fof_simplification,[status(thm)],[unique_cover3_5_4]) ).
cnf(c_0_148,negated_conjecture,
~ vertical_1_2,
inference(fof_simplification,[status(thm)],[uncovered2_1_2]) ).
cnf(c_0_149,negated_conjecture,
( ~ vertical_1_1
| ~ horizontal_2_1 ),
c_0_140 ).
cnf(c_0_150,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_4
| ~ horizontal_4_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_134,c_0_141]) ).
cnf(c_0_151,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_142]),c_0_129]),c_0_122]) ).
cnf(c_0_152,negated_conjecture,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
covered_2_4 ).
cnf(c_0_153,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_3 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_154,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_2_4 ),
inference(spm,[status(thm)],[c_0_145,c_0_129]) ).
cnf(c_0_155,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
inference(fof_simplification,[status(thm)],[unique_cover3_5_2]) ).
cnf(c_0_156,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
c_0_146 ).
cnf(c_0_157,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
c_0_147 ).
cnf(c_0_158,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
inference(fof_simplification,[status(thm)],[unique_cover2_3_2]) ).
cnf(c_0_159,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
inference(fof_simplification,[status(thm)],[unique_cover1_3_2]) ).
cnf(c_0_160,negated_conjecture,
( vertical_1_2
| horizontal_2_1
| vertical_2_2
| horizontal_2_2 ),
covered_2_2 ).
cnf(c_0_161,negated_conjecture,
~ vertical_1_2,
c_0_148 ).
cnf(c_0_162,negated_conjecture,
~ horizontal_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_74])]) ).
cnf(c_0_163,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_2
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_150]),c_0_122]) ).
cnf(c_0_164,negated_conjecture,
( ~ vertical_2_2
| vertical_1_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_165,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
c_0_155 ).
cnf(c_0_166,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_156,c_0_70]) ).
cnf(c_0_167,negated_conjecture,
( ~ vertical_4_4
| vertical_4_5 ),
inference(spm,[status(thm)],[c_0_157,c_0_56]) ).
cnf(c_0_168,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
inference(fof_simplification,[status(thm)],[unique_cover6_4_5]) ).
cnf(c_0_169,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
c_0_158 ).
cnf(c_0_170,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
c_0_159 ).
cnf(c_0_171,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
inference(fof_simplification,[status(thm)],[unique_cover2_2_3]) ).
cnf(c_0_172,negated_conjecture,
( horizontal_2_2
| vertical_2_2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).
cnf(c_0_173,negated_conjecture,
~ vertical_2_2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_129]) ).
cnf(c_0_174,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_2
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_165,c_0_85]) ).
cnf(c_0_175,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_1
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_166,c_0_85]) ).
cnf(c_0_176,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_4_3 ),
inference(fof_simplification,[status(thm)],[unique_cover5_4_3]) ).
cnf(c_0_177,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_4 ),
inference(spm,[status(thm)],[c_0_68,c_0_167]) ).
cnf(c_0_178,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
c_0_168 ).
cnf(c_0_179,negated_conjecture,
( ~ horizontal_3_2
| horizontal_4_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_113]),c_0_170]) ).
cnf(c_0_180,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_2_3 ),
c_0_171 ).
cnf(c_0_181,negated_conjecture,
horizontal_2_2,
inference(sr,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_182,negated_conjecture,
( ~ vertical_4_2
| vertical_2_5
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_174,c_0_93]) ).
cnf(c_0_183,negated_conjecture,
( ~ horizontal_4_1
| vertical_2_5
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_175,c_0_93]) ).
cnf(c_0_184,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_4_3 ),
c_0_176 ).
cnf(c_0_185,negated_conjecture,
( ~ vertical_4_4
| vertical_2_5
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_177,c_0_93]) ).
cnf(c_0_186,negated_conjecture,
( ~ horizontal_4_4
| vertical_2_5
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_178,c_0_93]) ).
cnf(c_0_187,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
inference(fof_simplification,[status(thm)],[unique_cover3_4_3]) ).
cnf(c_0_188,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
inference(fof_simplification,[status(thm)],[unique_cover4_2_3]) ).
cnf(c_0_189,negated_conjecture,
( ~ horizontal_3_2
| vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_121]),c_0_179]) ).
cnf(c_0_190,negated_conjecture,
~ horizontal_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]) ).
cnf(c_0_191,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_4_2
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_118,c_0_182]) ).
cnf(c_0_192,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_4_1
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_118,c_0_183]) ).
cnf(c_0_193,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
inference(fof_simplification,[status(thm)],[unique_cover4_3_2]) ).
cnf(c_0_194,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_3
| horizontal_3_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_184,c_0_127]) ).
cnf(c_0_195,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_4_2
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_125,c_0_182]) ).
cnf(c_0_196,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_4_1
| horizontal_3_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_125,c_0_183]) ).
cnf(c_0_197,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_3
| horizontal_3_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_184,c_0_133]) ).
cnf(c_0_198,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
inference(fof_simplification,[status(thm)],[unique_cover1_4_3]) ).
cnf(c_0_199,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
inference(fof_simplification,[status(thm)],[unique_cover2_3_4]) ).
cnf(c_0_200,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_4_4
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_118,c_0_185]) ).
cnf(c_0_201,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_4_4
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_118,c_0_186]) ).
cnf(c_0_202,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
c_0_187 ).
cnf(c_0_203,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_3 ),
c_0_188 ).
cnf(c_0_204,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_3_2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_142]),c_0_189]),c_0_179]) ).
cnf(c_0_205,negated_conjecture,
( vertical_1_4
| horizontal_2_4
| vertical_2_4 ),
inference(sr,[status(thm)],[c_0_152,c_0_190]) ).
cnf(c_0_206,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_145,c_0_189]) ).
cnf(c_0_207,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_3
| ~ vertical_4_2
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_184,c_0_191]) ).
cnf(c_0_208,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_3
| ~ horizontal_4_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_184,c_0_192]) ).
cnf(c_0_209,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
c_0_193 ).
cnf(c_0_210,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_3
| ~ vertical_3_4
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_134,c_0_194]) ).
cnf(c_0_211,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_3
| ~ vertical_4_2
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_184,c_0_195]) ).
cnf(c_0_212,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_3
| ~ horizontal_4_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_184,c_0_196]) ).
cnf(c_0_213,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_3
| ~ vertical_3_4
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_134,c_0_197]) ).
cnf(c_0_214,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
c_0_198 ).
cnf(c_0_215,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
c_0_199 ).
cnf(c_0_216,negated_conjecture,
( ~ horizontal_2_4
| horizontal_3_4
| vertical_3_4
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_96]),c_0_201]) ).
cnf(c_0_217,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_4_4
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_125,c_0_185]) ).
cnf(c_0_218,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_4_4
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_125,c_0_186]) ).
cnf(c_0_219,negated_conjecture,
( ~ vertical_3_3
| horizontal_3_1
| vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_110]),c_0_202]) ).
cnf(c_0_220,negated_conjecture,
~ vertical_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_181])]) ).
cnf(c_0_221,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_3_2
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_150]),c_0_179]) ).
cnf(c_0_222,negated_conjecture,
( ~ horizontal_3_2
| vertical_1_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).
cnf(c_0_223,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_3
| vertical_3_2
| horizontal_3_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_101]),c_0_208]),c_0_123]) ).
cnf(c_0_224,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_2
| ~ vertical_3_3
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_225,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_3
| vertical_3_2
| horizontal_3_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_101]),c_0_212]),c_0_123]) ).
cnf(c_0_226,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_2
| ~ vertical_3_3
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_209,c_0_213]) ).
cnf(c_0_227,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_4_3
| horizontal_3_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_214,c_0_127]) ).
cnf(c_0_228,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_3_3
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_128]) ).
cnf(c_0_229,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_4_3
| horizontal_3_1
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_214,c_0_133]) ).
cnf(c_0_230,negated_conjecture,
( ~ vertical_1_4
| horizontal_3_4
| vertical_3_4
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_96]),c_0_218]) ).
cnf(c_0_231,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_3
| vertical_3_4 ),
inference(spm,[status(thm)],[c_0_209,c_0_219]) ).
cnf(c_0_232,negated_conjecture,
( horizontal_3_2
| horizontal_3_3
| vertical_3_3 ),
inference(sr,[status(thm)],[c_0_131,c_0_220]) ).
cnf(c_0_233,negated_conjecture,
~ horizontal_3_2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_189]) ).
cnf(c_0_234,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
inference(fof_simplification,[status(thm)],[unique_cover6_3_4]) ).
cnf(c_0_235,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_3
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_223]),c_0_224]) ).
cnf(c_0_236,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_3
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_225]),c_0_226]) ).
cnf(c_0_237,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_3_3
| horizontal_3_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_227]),c_0_228]) ).
cnf(c_0_238,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_3_3
| ~ horizontal_4_3
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_215,c_0_229]) ).
cnf(c_0_239,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_3_3
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_230]),c_0_128]) ).
cnf(c_0_240,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_145,c_0_231]) ).
cnf(c_0_241,negated_conjecture,
( horizontal_3_3
| vertical_3_3 ),
inference(sr,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_242,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
c_0_234 ).
cnf(c_0_243,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_3_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_205]),c_0_236]),c_0_145]) ).
cnf(c_0_244,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_3_2
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_209,c_0_237]) ).
cnf(c_0_245,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_3_2
| ~ horizontal_3_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_238]),c_0_239]) ).
cnf(c_0_246,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).
cnf(c_0_247,negated_conjecture,
( ~ vertical_4_2
| ~ vertical_4_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_165,c_0_79]) ).
cnf(c_0_248,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_165,c_0_82]) ).
cnf(c_0_249,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_243,c_0_231]) ).
cnf(c_0_250,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_205]),c_0_245]),c_0_246]) ).
cnf(c_0_251,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_166,c_0_79]) ).
cnf(c_0_252,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_4
| vertical_4_3 ),
inference(spm,[status(thm)],[c_0_166,c_0_82]) ).
cnf(c_0_253,negated_conjecture,
( ~ vertical_4_2
| vertical_3_4
| horizontal_4_3
| vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_96]),c_0_248]) ).
cnf(c_0_254,negated_conjecture,
~ vertical_3_2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_241]),c_0_250]) ).
cnf(c_0_255,negated_conjecture,
( ~ horizontal_4_1
| vertical_3_4
| horizontal_4_3
| vertical_4_3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_96]),c_0_252]) ).
cnf(c_0_256,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_4_2
| vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_253]),c_0_202]) ).
cnf(c_0_257,negated_conjecture,
( horizontal_4_1
| horizontal_4_2
| vertical_4_2 ),
inference(sr,[status(thm)],[c_0_101,c_0_254]) ).
cnf(c_0_258,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_4_2
| ~ horizontal_4_3
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_214,c_0_195]) ).
cnf(c_0_259,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_4_1
| ~ horizontal_4_3
| horizontal_3_4 ),
inference(spm,[status(thm)],[c_0_214,c_0_196]) ).
cnf(c_0_260,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_1
| vertical_3_4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_255]),c_0_202]) ).
cnf(c_0_261,negated_conjecture,
( ~ vertical_3_3
| horizontal_4_1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_243]),c_0_123]) ).
cnf(c_0_262,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_4_3
| vertical_3_2
| horizontal_3_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_101]),c_0_259]),c_0_111]) ).
cnf(c_0_263,negated_conjecture,
( ~ horizontal_3_3
| horizontal_4_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_205]),c_0_239]),c_0_242]) ).
cnf(c_0_264,negated_conjecture,
~ vertical_3_3,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_243]) ).
cnf(c_0_265,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_3_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_262]),c_0_263]),c_0_250]) ).
cnf(c_0_266,negated_conjecture,
horizontal_3_3,
inference(sr,[status(thm)],[c_0_241,c_0_264]) ).
cnf(c_0_267,negated_conjecture,
~ vertical_1_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_266])]) ).
cnf(c_0_268,negated_conjecture,
~ vertical_2_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_266])]) ).
cnf(c_0_269,negated_conjecture,
horizontal_4_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_266])]) ).
cnf(c_0_270,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_111,c_0_263]) ).
cnf(c_0_271,negated_conjecture,
horizontal_2_4,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_205,c_0_267]),c_0_268]) ).
cnf(c_0_272,negated_conjecture,
~ vertical_4_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_269])]) ).
cnf(c_0_273,negated_conjecture,
~ horizontal_3_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_266])]) ).
cnf(c_0_274,negated_conjecture,
~ horizontal_4_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_266])]) ).
cnf(c_0_275,negated_conjecture,
~ vertical_4_2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_271])]),c_0_272]),c_0_273]) ).
cnf(c_0_276,negated_conjecture,
~ horizontal_4_1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_271])]),c_0_272]),c_0_273]) ).
cnf(c_0_277,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_257,c_0_274]),c_0_275]),c_0_276]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ016-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 03:48:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % Version: 3.5.1
% 0.11/0.46 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.46 % Starting sh5l with 300s (1) cores
% 0.11/0.46 % new_bool_3 with pid 2355990 completed with status 0
% 0.11/0.46 % Result found by new_bool_3
% 0.11/0.46 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.46 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.11/0.46 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.46 % SubtermCWHack with pid 2355995 completed with status 0
% 0.11/0.46 % Result found by SubtermCWHack
% 0.11/0.46 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.46 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.11/0.46 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.46 % Preprocessing time : 0.001 s
% 0.11/0.46
% 0.11/0.46 % Proof found!
% 0.11/0.46 % SZS status Unsatisfiable
% 0.11/0.46 % SZS output start CNFRefutation
% See solution above
% 0.11/0.46 % Parsed axioms : 117
% 0.11/0.46 % Removed by relevancy pruning/SinE : 0
% 0.11/0.46 % Initial clauses : 117
% 0.11/0.46 % Removed in clause preprocessing : 0
% 0.11/0.46 % Initial clauses in saturation : 117
% 0.11/0.46 % Processed clauses : 375
% 0.11/0.46 % ...of these trivial : 4
% 0.11/0.46 % ...subsumed : 83
% 0.11/0.46 % ...remaining for further processing : 287
% 0.11/0.46 % Other redundant clauses eliminated : 0
% 0.11/0.46 % Clauses deleted for lack of memory : 0
% 0.11/0.46 % Backward-subsumed : 163
% 0.11/0.46 % Backward-rewritten : 57
% 0.11/0.46 % Generated clauses : 462
% 0.11/0.46 % ...of the previous two non-redundant : 313
% 0.11/0.46 % ...aggressively subsumed : 0
% 0.11/0.46 % Contextual simplify-reflections : 59
% 0.11/0.46 % Paramodulations : 435
% 0.11/0.46 % Factorizations : 0
% 0.11/0.46 % NegExts : 0
% 0.11/0.46 % Equation resolutions : 0
% 0.11/0.46 % Disequality decompositions : 0
% 0.11/0.46 % Total rewrite steps : 64
% 0.11/0.46 % ...of those cached : 54
% 0.11/0.46 % Propositional unsat checks : 0
% 0.11/0.46 % Propositional check models : 0
% 0.11/0.46 % Propositional check unsatisfiable : 0
% 0.11/0.46 % Propositional clauses : 0
% 0.11/0.46 % Propositional clauses after purity: 0
% 0.11/0.46 % Propositional unsat core size : 0
% 0.11/0.46 % Propositional preprocessing time : 0.000
% 0.11/0.46 % Propositional encoding time : 0.000
% 0.11/0.46 % Propositional solver time : 0.000
% 0.11/0.46 % Success case prop preproc time : 0.000
% 0.11/0.46 % Success case prop encoding time : 0.000
% 0.11/0.46 % Success case prop solver time : 0.000
% 0.11/0.46 % Current number of processed clauses : 40
% 0.11/0.46 % Positive orientable unit clauses : 11
% 0.11/0.46 % Positive unorientable unit clauses: 0
% 0.11/0.46 % Negative unit clauses : 29
% 0.11/0.46 % Non-unit-clauses : 0
% 0.11/0.46 % Current number of unprocessed clauses: 14
% 0.11/0.46 % ...number of literals in the above : 32
% 0.11/0.46 % Current number of archived formulas : 0
% 0.11/0.46 % Current number of archived clauses : 247
% 0.11/0.46 % Clause-clause subsumption calls (NU) : 12032
% 0.11/0.46 % Rec. Clause-clause subsumption calls : 4084
% 0.11/0.46 % Non-unit clause-clause subsumptions : 148
% 0.11/0.46 % Unit Clause-clause subsumption calls : 975
% 0.11/0.46 % Rewrite failures with RHS unbound : 0
% 0.11/0.46 % BW rewrite match attempts : 9
% 0.11/0.46 % BW rewrite match successes : 9
% 0.11/0.46 % Condensation attempts : 0
% 0.11/0.46 % Condensation successes : 0
% 0.11/0.46 % Termbank termtop insertions : 4553
% 0.11/0.46 % Search garbage collected termcells : 129
% 0.11/0.46
% 0.11/0.46 % -------------------------------------------------
% 0.11/0.46 % User time : 0.012 s
% 0.11/0.46 % System time : 0.003 s
% 0.11/0.46 % Total time : 0.015 s
% 0.11/0.46 % Maximum resident set size: 3684 pages
% 0.11/0.46
% 0.11/0.46 % -------------------------------------------------
% 0.11/0.46 % User time : 0.013 s
% 0.11/0.46 % System time : 0.007 s
% 0.11/0.46 % Total time : 0.020 s
% 0.11/0.46 % Maximum resident set size: 4608 pages
% 0.11/0.46 % E exiting
%------------------------------------------------------------------------------