TSTP Solution File: PUZ016-2.005 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:11:48 EDT 2023
% Result : Unsatisfiable 0.57s 0.62s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
horizontal_1_2: $o ).
tff(decl_23,type,
horizontal_1_3: $o ).
tff(decl_24,type,
vertical_1_2: $o ).
tff(decl_25,type,
vertical_1_3: $o ).
tff(decl_26,type,
horizontal_1_1: $o ).
tff(decl_27,type,
vertical_1_1: $o ).
tff(decl_28,type,
horizontal_1_4: $o ).
tff(decl_29,type,
vertical_1_4: $o ).
tff(decl_30,type,
vertical_1_5: $o ).
tff(decl_31,type,
horizontal_2_1: $o ).
tff(decl_32,type,
vertical_2_1: $o ).
tff(decl_33,type,
horizontal_2_2: $o ).
tff(decl_34,type,
vertical_2_2: $o ).
tff(decl_35,type,
horizontal_2_3: $o ).
tff(decl_36,type,
vertical_2_3: $o ).
tff(decl_37,type,
horizontal_2_4: $o ).
tff(decl_38,type,
vertical_2_4: $o ).
tff(decl_39,type,
vertical_2_5: $o ).
tff(decl_40,type,
horizontal_3_1: $o ).
tff(decl_41,type,
vertical_3_1: $o ).
tff(decl_42,type,
horizontal_3_2: $o ).
tff(decl_43,type,
vertical_3_2: $o ).
tff(decl_44,type,
horizontal_3_3: $o ).
tff(decl_45,type,
vertical_3_3: $o ).
tff(decl_46,type,
horizontal_3_4: $o ).
tff(decl_47,type,
vertical_3_4: $o ).
tff(decl_48,type,
vertical_3_5: $o ).
tff(decl_49,type,
horizontal_4_1: $o ).
tff(decl_50,type,
vertical_4_1: $o ).
tff(decl_51,type,
horizontal_4_2: $o ).
tff(decl_52,type,
vertical_4_2: $o ).
tff(decl_53,type,
horizontal_4_3: $o ).
tff(decl_54,type,
vertical_4_3: $o ).
tff(decl_55,type,
horizontal_4_4: $o ).
tff(decl_56,type,
vertical_4_4: $o ).
tff(decl_57,type,
vertical_4_5: $o ).
tff(decl_58,type,
horizontal_5_1: $o ).
tff(decl_59,type,
horizontal_5_2: $o ).
tff(decl_60,type,
horizontal_5_3: $o ).
tff(decl_61,type,
horizontal_5_4: $o ).
cnf(covered_1_1,negated_conjecture,
( horizontal_1_1
| vertical_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_1) ).
cnf(uncovered3_1_2,negated_conjecture,
~ horizontal_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_1_2) ).
cnf(unique_cover6_5_2,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_2) ).
cnf(covered_5_1,negated_conjecture,
( horizontal_5_1
| vertical_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_1) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_1) ).
cnf(unique_cover5_4_1,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_1) ).
cnf(covered_3_1,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_1) ).
cnf(unique_cover2_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_2) ).
cnf(unique_cover6_5_4,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_4) ).
cnf(covered_5_3,negated_conjecture,
( horizontal_5_3
| horizontal_5_2
| vertical_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_3) ).
cnf(covered_4_4,negated_conjecture,
( horizontal_4_4
| vertical_4_4
| horizontal_4_3
| vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_4) ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_1) ).
cnf(covered_4_2,negated_conjecture,
( horizontal_4_2
| vertical_4_2
| horizontal_4_1
| vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_2) ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_1) ).
cnf(unique_cover2_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_4) ).
cnf(covered_5_5,negated_conjecture,
( horizontal_5_4
| vertical_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_5) ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_2) ).
cnf(covered_2_2,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_2) ).
cnf(uncovered2_1_2,negated_conjecture,
~ vertical_1_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_2) ).
cnf(unique_cover4_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_5) ).
cnf(unique_cover4_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_3) ).
cnf(unique_cover5_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_5) ).
cnf(covered_3_5,negated_conjecture,
( vertical_3_5
| horizontal_3_4
| vertical_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_5) ).
cnf(unique_cover4_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_5) ).
cnf(covered_2_4,negated_conjecture,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_4) ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_3) ).
cnf(unique_cover1_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_4) ).
cnf(unique_cover5_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_5) ).
cnf(covered_1_5,negated_conjecture,
( vertical_1_5
| horizontal_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_5) ).
cnf(unique_cover1_1_4,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_4) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_3) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_4) ).
cnf(covered_3_3,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_3) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_2) ).
cnf(unique_cover5_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_4) ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_2) ).
cnf(unique_cover1_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_3) ).
cnf(unique_cover3_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_2) ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_3) ).
cnf(unique_cover5_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_3) ).
cnf(unique_cover1_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_1) ).
cnf(unique_cover2_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_3) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_3) ).
cnf(unique_cover3_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_4) ).
cnf(unique_cover6_4_5,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_5) ).
cnf(unique_cover2_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_4) ).
cnf(unique_cover1_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_3) ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_2) ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_2) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_2) ).
cnf(unique_cover6_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_4) ).
cnf(c_0_51,negated_conjecture,
( horizontal_1_1
| vertical_1_1 ),
covered_1_1 ).
cnf(c_0_52,negated_conjecture,
~ horizontal_1_1,
uncovered3_1_2 ).
cnf(c_0_53,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_2 ),
unique_cover6_5_2 ).
cnf(c_0_54,negated_conjecture,
( horizontal_5_1
| vertical_4_1 ),
covered_5_1 ).
cnf(c_0_55,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ),
unique_cover5_2_1 ).
cnf(c_0_56,negated_conjecture,
vertical_1_1,
inference(sr,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_3_1 ),
unique_cover5_4_1 ).
cnf(c_0_58,negated_conjecture,
( vertical_4_1
| ~ vertical_4_2 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ),
covered_3_1 ).
cnf(c_0_60,negated_conjecture,
~ vertical_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).
cnf(c_0_61,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_1 ),
unique_cover2_5_2 ).
cnf(c_0_62,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_4 ),
unique_cover6_5_4 ).
cnf(c_0_63,negated_conjecture,
( horizontal_5_3
| horizontal_5_2
| vertical_4_3 ),
covered_5_3 ).
cnf(c_0_64,negated_conjecture,
( ~ vertical_4_2
| ~ vertical_3_1 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( vertical_3_1
| horizontal_3_1 ),
inference(sr,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( vertical_4_1
| ~ horizontal_5_2 ),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| ~ vertical_4_4 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( horizontal_4_4
| vertical_4_4
| horizontal_4_3
| vertical_3_4 ),
covered_4_4 ).
cnf(c_0_69,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ),
unique_cover3_4_1 ).
cnf(c_0_70,negated_conjecture,
( horizontal_3_1
| ~ vertical_4_2 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( horizontal_4_2
| vertical_4_2
| horizontal_4_1
| vertical_3_2 ),
covered_4_2 ).
cnf(c_0_72,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_3_1 ),
inference(spm,[status(thm)],[c_0_57,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( horizontal_5_2
| horizontal_4_4
| vertical_4_3
| horizontal_4_3
| vertical_3_4 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
( horizontal_3_1
| ~ horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_69,c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| vertical_3_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ),
unique_cover3_2_1 ).
cnf(c_0_77,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_3 ),
unique_cover2_5_4 ).
cnf(c_0_78,negated_conjecture,
( horizontal_5_4
| vertical_4_5 ),
covered_5_5 ).
cnf(c_0_79,negated_conjecture,
( horizontal_4_4
| vertical_4_3
| horizontal_4_3
| vertical_3_4
| ~ vertical_3_1 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ),
unique_cover6_3_2 ).
cnf(c_0_81,negated_conjecture,
( horizontal_4_2
| vertical_3_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ),
covered_2_2 ).
cnf(c_0_83,negated_conjecture,
~ vertical_1_2,
uncovered2_1_2 ).
cnf(c_0_84,negated_conjecture,
~ horizontal_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_56])]) ).
cnf(c_0_85,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_4 ),
unique_cover4_4_5 ).
cnf(c_0_86,negated_conjecture,
( vertical_4_5
| ~ horizontal_5_3 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_2 ),
unique_cover4_4_3 ).
cnf(c_0_88,negated_conjecture,
( horizontal_4_4
| vertical_4_3
| horizontal_4_3
| vertical_3_4
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_79,c_0_65]) ).
cnf(c_0_89,negated_conjecture,
( horizontal_4_2
| vertical_3_2
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( vertical_2_2
| horizontal_2_2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_91,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_3_5 ),
unique_cover5_4_5 ).
cnf(c_0_92,negated_conjecture,
( ~ horizontal_5_3
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_1
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
( horizontal_4_2
| vertical_3_2
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_3_5 ),
inference(spm,[status(thm)],[c_0_91,c_0_86]) ).
cnf(c_0_96,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_92,c_0_63]) ).
cnf(c_0_97,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| ~ vertical_3_5 ),
inference(spm,[status(thm)],[c_0_95,c_0_63]) ).
cnf(c_0_99,negated_conjecture,
( vertical_3_5
| horizontal_3_4
| vertical_2_5 ),
covered_3_5 ).
cnf(c_0_100,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| horizontal_3_4
| vertical_2_5 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| horizontal_2_2
| ~ vertical_3_1 ),
inference(spm,[status(thm)],[c_0_72,c_0_100]) ).
cnf(c_0_103,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| vertical_2_5
| ~ vertical_3_1 ),
inference(spm,[status(thm)],[c_0_72,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_102,c_0_65]) ).
cnf(c_0_105,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_4 ),
unique_cover4_2_5 ).
cnf(c_0_106,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| horizontal_3_1
| vertical_2_5 ),
inference(spm,[status(thm)],[c_0_103,c_0_65]) ).
cnf(c_0_107,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| horizontal_2_2
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| horizontal_3_1
| ~ horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
covered_2_4 ).
cnf(c_0_110,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_107,c_0_94]) ).
cnf(c_0_111,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_2_2
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_80,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
( horizontal_3_4
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| vertical_1_4
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_111]) ).
cnf(c_0_114,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ),
unique_cover2_4_3 ).
cnf(c_0_115,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_112,c_0_90]) ).
cnf(c_0_116,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_4 ),
unique_cover1_3_4 ).
cnf(c_0_117,negated_conjecture,
( horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_113,c_0_94]) ).
cnf(c_0_118,negated_conjecture,
( vertical_3_4
| vertical_3_2
| horizontal_2_2
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_1_5 ),
unique_cover5_2_5 ).
cnf(c_0_120,negated_conjecture,
( vertical_1_5
| horizontal_1_4 ),
covered_1_5 ).
cnf(c_0_121,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| vertical_1_4
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( vertical_3_4
| vertical_3_2
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_118,c_0_94]) ).
cnf(c_0_123,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_4 ),
unique_cover1_1_4 ).
cnf(c_0_124,negated_conjecture,
( horizontal_1_4
| ~ vertical_2_5 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( vertical_3_2
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| vertical_1_4
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_80,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| horizontal_3_1
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_106]) ).
cnf(c_0_129,negated_conjecture,
( vertical_3_2
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_127,c_0_90]) ).
cnf(c_0_130,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_131,negated_conjecture,
( horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_130]) ).
cnf(c_0_132,negated_conjecture,
( horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_131,c_0_94]) ).
cnf(c_0_133,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ),
unique_cover6_4_3 ).
cnf(c_0_134,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ),
unique_cover4_3_4 ).
cnf(c_0_136,negated_conjecture,
( vertical_3_2
| horizontal_2_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_133,c_0_94]) ).
cnf(c_0_137,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ),
covered_3_3 ).
cnf(c_0_138,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4
| horizontal_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_134,c_0_122]) ).
cnf(c_0_139,negated_conjecture,
( vertical_3_2
| horizontal_2_2
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_135,c_0_122]) ).
cnf(c_0_140,negated_conjecture,
( horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_141,negated_conjecture,
( vertical_3_2
| vertical_2_4
| horizontal_2_3
| horizontal_2_2
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_80,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ),
unique_cover5_3_2 ).
cnf(c_0_143,negated_conjecture,
( vertical_3_2
| horizontal_3_2
| vertical_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,negated_conjecture,
( vertical_3_2
| vertical_2_4
| horizontal_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_141,c_0_90]) ).
cnf(c_0_145,negated_conjecture,
( horizontal_3_2
| vertical_2_3
| horizontal_2_2
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_2_4 ),
unique_cover5_3_4 ).
cnf(c_0_147,negated_conjecture,
( vertical_2_4
| horizontal_2_3
| horizontal_2_2
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_142,c_0_144]) ).
cnf(c_0_148,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ),
unique_cover3_3_2 ).
cnf(c_0_149,negated_conjecture,
( horizontal_3_2
| vertical_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_145,c_0_90]) ).
cnf(c_0_150,negated_conjecture,
( vertical_3_2
| horizontal_2_2
| ~ vertical_2_4 ),
inference(spm,[status(thm)],[c_0_146,c_0_122]) ).
cnf(c_0_151,negated_conjecture,
( vertical_2_4
| horizontal_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_147,c_0_90]) ).
cnf(c_0_152,negated_conjecture,
( vertical_2_3
| horizontal_2_2
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
( vertical_3_2
| horizontal_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_154,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_3 ),
unique_cover1_2_3 ).
cnf(c_0_155,negated_conjecture,
( vertical_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_152,c_0_90]) ).
cnf(c_0_156,negated_conjecture,
( horizontal_2_3
| horizontal_2_2
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_142,c_0_153]) ).
cnf(c_0_157,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_2 ),
unique_cover3_5_2 ).
cnf(c_0_158,negated_conjecture,
( horizontal_2_2
| ~ horizontal_2_3 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_159,negated_conjecture,
( horizontal_2_3
| horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_156,c_0_90]) ).
cnf(c_0_160,negated_conjecture,
( horizontal_4_4
| vertical_4_3
| horizontal_4_3
| vertical_3_4
| ~ vertical_4_2 ),
inference(spm,[status(thm)],[c_0_157,c_0_73]) ).
cnf(c_0_161,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ),
unique_cover4_2_3 ).
cnf(c_0_162,negated_conjecture,
horizontal_2_2,
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_3_3 ),
unique_cover5_4_3 ).
cnf(c_0_164,negated_conjecture,
( horizontal_4_4
| vertical_4_3
| horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| vertical_3_2 ),
inference(spm,[status(thm)],[c_0_160,c_0_71]) ).
cnf(c_0_165,negated_conjecture,
~ vertical_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_162])]) ).
cnf(c_0_166,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| vertical_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_167,negated_conjecture,
( vertical_3_3
| horizontal_3_3
| horizontal_3_2 ),
inference(sr,[status(thm)],[c_0_137,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_169,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_96,c_0_168]) ).
cnf(c_0_170,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ vertical_4_2 ),
inference(spm,[status(thm)],[c_0_157,c_0_169]) ).
cnf(c_0_171,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_1 ),
unique_cover1_4_1 ).
cnf(c_0_172,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_170,c_0_71]) ).
cnf(c_0_173,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_171,c_0_66]) ).
cnf(c_0_174,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_172]) ).
cnf(c_0_175,negated_conjecture,
( horizontal_4_4
| vertical_4_3
| horizontal_4_3
| vertical_3_4
| ~ horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_173,c_0_73]) ).
cnf(c_0_176,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_174,c_0_167]) ).
cnf(c_0_177,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| vertical_2_5
| ~ vertical_4_2 ),
inference(spm,[status(thm)],[c_0_157,c_0_101]) ).
cnf(c_0_178,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_2 ),
unique_cover2_2_3 ).
cnf(c_0_179,negated_conjecture,
( horizontal_4_4
| vertical_4_3
| horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_180,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| vertical_3_2
| vertical_2_5 ),
inference(spm,[status(thm)],[c_0_177,c_0_71]) ).
cnf(c_0_181,negated_conjecture,
~ horizontal_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_162])]) ).
cnf(c_0_182,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_179]) ).
cnf(c_0_183,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| vertical_3_2
| ~ horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_105,c_0_180]) ).
cnf(c_0_184,negated_conjecture,
( vertical_2_4
| horizontal_2_4
| vertical_1_4 ),
inference(sr,[status(thm)],[c_0_109,c_0_181]) ).
cnf(c_0_185,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_182,c_0_167]) ).
cnf(c_0_186,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| vertical_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_187,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_96,c_0_185]) ).
cnf(c_0_188,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| vertical_3_2
| vertical_2_4
| vertical_1_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_186]) ).
cnf(c_0_189,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_173,c_0_187]) ).
cnf(c_0_190,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| vertical_2_5
| ~ horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_173,c_0_101]) ).
cnf(c_0_191,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_188,c_0_167]) ).
cnf(c_0_192,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_189,c_0_176]) ).
cnf(c_0_193,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_5
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_194,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_192]) ).
cnf(c_0_195,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_105,c_0_193]) ).
cnf(c_0_196,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ),
unique_cover3_4_3 ).
cnf(c_0_197,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_194,c_0_167]) ).
cnf(c_0_198,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_195,c_0_184]) ).
cnf(c_0_199,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_200,negated_conjecture,
( horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_198]) ).
cnf(c_0_201,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_199,c_0_167]) ).
cnf(c_0_202,negated_conjecture,
( horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_200,c_0_167]) ).
cnf(c_0_203,negated_conjecture,
( vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_133,c_0_201]) ).
cnf(c_0_204,negated_conjecture,
( horizontal_4_2
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_202]) ).
cnf(c_0_205,negated_conjecture,
( vertical_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_203,c_0_167]) ).
cnf(c_0_206,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| vertical_3_2
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_180]) ).
cnf(c_0_207,negated_conjecture,
( horizontal_4_2
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_208,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_4 ),
unique_cover3_5_4 ).
cnf(c_0_209,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_210,negated_conjecture,
( vertical_4_5
| ~ vertical_4_4 ),
inference(spm,[status(thm)],[c_0_208,c_0_78]) ).
cnf(c_0_211,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_209]) ).
cnf(c_0_212,negated_conjecture,
( ~ vertical_4_4
| ~ vertical_3_5 ),
inference(spm,[status(thm)],[c_0_91,c_0_210]) ).
cnf(c_0_213,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_211,c_0_167]) ).
cnf(c_0_214,negated_conjecture,
( horizontal_3_4
| vertical_2_5
| ~ vertical_4_4 ),
inference(spm,[status(thm)],[c_0_212,c_0_99]) ).
cnf(c_0_215,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_5
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_190,c_0_213]) ).
cnf(c_0_216,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_2_5 ),
inference(spm,[status(thm)],[c_0_214,c_0_68]) ).
cnf(c_0_217,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_215]) ).
cnf(c_0_218,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_3_5 ),
unique_cover6_4_5 ).
cnf(c_0_219,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_4
| ~ horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_105,c_0_216]) ).
cnf(c_0_220,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_217,c_0_207]) ).
cnf(c_0_221,negated_conjecture,
( horizontal_3_4
| vertical_2_5
| ~ horizontal_4_4 ),
inference(spm,[status(thm)],[c_0_218,c_0_99]) ).
cnf(c_0_222,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_219,c_0_109]) ).
cnf(c_0_223,negated_conjecture,
( horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_220]) ).
cnf(c_0_224,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_2_5
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_225,negated_conjecture,
( horizontal_4_2
| horizontal_3_4
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_223,c_0_167]) ).
cnf(c_0_226,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4
| ~ horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_105,c_0_224]) ).
cnf(c_0_227,negated_conjecture,
( horizontal_4_2
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_225]) ).
cnf(c_0_228,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_226,c_0_109]) ).
cnf(c_0_229,negated_conjecture,
( horizontal_4_2
| horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_227,c_0_205]) ).
cnf(c_0_230,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_3 ),
unique_cover2_3_4 ).
cnf(c_0_231,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_2_4
| vertical_1_4 ),
inference(sr,[status(thm)],[c_0_228,c_0_181]) ).
cnf(c_0_232,negated_conjecture,
( horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_133,c_0_229]) ).
cnf(c_0_233,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_2_4
| vertical_1_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_234,negated_conjecture,
( horizontal_3_3
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_232,c_0_167]) ).
cnf(c_0_235,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_4
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_216]) ).
cnf(c_0_236,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_237,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_238,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_5
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_221,c_0_237]) ).
cnf(c_0_239,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_238]) ).
cnf(c_0_240,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_239,c_0_236]) ).
cnf(c_0_241,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_3 ),
unique_cover1_4_3 ).
cnf(c_0_242,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_230,c_0_240]) ).
cnf(c_0_243,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| horizontal_3_4
| vertical_3_2
| vertical_2_4
| vertical_1_4
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_241,c_0_186]) ).
cnf(c_0_244,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_242,c_0_234]) ).
cnf(c_0_245,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_246,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_5
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_190,c_0_245]) ).
cnf(c_0_247,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ horizontal_2_4 ),
inference(spm,[status(thm)],[c_0_105,c_0_246]) ).
cnf(c_0_248,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_247,c_0_184]) ).
cnf(c_0_249,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_241,c_0_248]) ).
cnf(c_0_250,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_249,c_0_244]) ).
cnf(c_0_251,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_230,c_0_250]) ).
cnf(c_0_252,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_251,c_0_234]) ).
cnf(c_0_253,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_206,c_0_252]) ).
cnf(c_0_254,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_241,c_0_253]) ).
cnf(c_0_255,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_254,c_0_244]) ).
cnf(c_0_256,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_5
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_190,c_0_255]) ).
cnf(c_0_257,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_1
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_88]) ).
cnf(c_0_258,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_256]) ).
cnf(c_0_259,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_257,c_0_137]) ).
cnf(c_0_260,negated_conjecture,
( vertical_4_3
| horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_258,c_0_252]) ).
cnf(c_0_261,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1 ),
inference(sr,[status(thm)],[c_0_259,c_0_165]) ).
cnf(c_0_262,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_241,c_0_260]) ).
cnf(c_0_263,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_96,c_0_261]) ).
cnf(c_0_264,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| horizontal_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_262,c_0_244]) ).
cnf(c_0_265,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| ~ vertical_3_1 ),
inference(spm,[status(thm)],[c_0_72,c_0_263]) ).
cnf(c_0_266,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_230,c_0_264]) ).
cnf(c_0_267,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_265,c_0_65]) ).
cnf(c_0_268,negated_conjecture,
( vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_114,c_0_244]) ).
cnf(c_0_269,negated_conjecture,
( horizontal_4_2
| vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_266,c_0_234]) ).
cnf(c_0_270,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_267]) ).
cnf(c_0_271,negated_conjecture,
( vertical_3_4
| vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_272,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ),
unique_cover4_3_2 ).
cnf(c_0_273,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_270,c_0_167]) ).
cnf(c_0_274,negated_conjecture,
( vertical_3_2
| horizontal_3_2
| vertical_2_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_135,c_0_271]) ).
cnf(c_0_275,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| horizontal_3_1
| vertical_2_4
| vertical_1_4 ),
inference(sr,[status(thm)],[c_0_111,c_0_181]) ).
cnf(c_0_276,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_277,negated_conjecture,
( vertical_3_2
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_274,c_0_234]) ).
cnf(c_0_278,negated_conjecture,
( horizontal_3_4
| horizontal_3_1
| vertical_2_4
| vertical_1_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_275]) ).
cnf(c_0_279,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_3
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_280,negated_conjecture,
( horizontal_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_278,c_0_167]) ).
cnf(c_0_281,negated_conjecture,
( vertical_3_4
| horizontal_3_3
| horizontal_3_2
| vertical_2_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_196,c_0_279]) ).
cnf(c_0_282,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_280]) ).
cnf(c_0_283,negated_conjecture,
( vertical_3_4
| horizontal_3_3
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_281,c_0_167]) ).
cnf(c_0_284,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_285,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_272,c_0_284]) ).
cnf(c_0_286,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_285,c_0_277]) ).
cnf(c_0_287,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_128,c_0_286]) ).
cnf(c_0_288,negated_conjecture,
( horizontal_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_163,c_0_287]) ).
cnf(c_0_289,negated_conjecture,
( horizontal_3_4
| horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_288,c_0_167]) ).
cnf(c_0_290,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_289]) ).
cnf(c_0_291,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_290,c_0_283]) ).
cnf(c_0_292,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| vertical_2_4
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_272,c_0_291]) ).
cnf(c_0_293,negated_conjecture,
( horizontal_3_3
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_292,c_0_277]) ).
cnf(c_0_294,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_233,c_0_293]) ).
cnf(c_0_295,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| horizontal_3_4
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_235,c_0_294]) ).
cnf(c_0_296,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| horizontal_3_2
| vertical_2_5
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_221,c_0_295]) ).
cnf(c_0_297,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| horizontal_3_2
| vertical_2_4
| ~ vertical_1_4 ),
inference(spm,[status(thm)],[c_0_126,c_0_296]) ).
cnf(c_0_298,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_4
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_297,c_0_294]) ).
cnf(c_0_299,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_2
| vertical_2_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_230,c_0_298]) ).
cnf(c_0_300,negated_conjecture,
( horizontal_3_4
| horizontal_3_1
| vertical_2_4
| vertical_1_4
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_241,c_0_275]) ).
cnf(c_0_301,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_299,c_0_293]) ).
cnf(c_0_302,negated_conjecture,
( vertical_3_4
| horizontal_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_303,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_230,c_0_302]) ).
cnf(c_0_304,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_303,c_0_293]) ).
cnf(c_0_305,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| vertical_2_4
| vertical_1_4
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_272,c_0_304]) ).
cnf(c_0_306,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_305,c_0_277]) ).
cnf(c_0_307,negated_conjecture,
( vertical_4_3
| vertical_3_4
| horizontal_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_128,c_0_306]) ).
cnf(c_0_308,negated_conjecture,
( vertical_3_4
| horizontal_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_241,c_0_307]) ).
cnf(c_0_309,negated_conjecture,
( vertical_3_4
| horizontal_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_308,c_0_301]) ).
cnf(c_0_310,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_230,c_0_309]) ).
cnf(c_0_311,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_310,c_0_293]) ).
cnf(c_0_312,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| vertical_2_4
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_272,c_0_311]) ).
cnf(c_0_313,negated_conjecture,
( vertical_3_4
| horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_312,c_0_277]) ).
cnf(c_0_314,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ),
unique_cover2_3_2 ).
cnf(c_0_315,negated_conjecture,
( horizontal_3_2
| vertical_2_4
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_135,c_0_313]) ).
cnf(c_0_316,negated_conjecture,
( horizontal_4_2
| vertical_3_2
| ~ horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_314,c_0_81]) ).
cnf(c_0_317,negated_conjecture,
( horizontal_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_315,c_0_293]) ).
cnf(c_0_318,negated_conjecture,
( horizontal_4_2
| vertical_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_319,negated_conjecture,
( horizontal_4_4
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_93,c_0_318]) ).
cnf(c_0_320,negated_conjecture,
( horizontal_5_2
| vertical_4_3
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_96,c_0_319]) ).
cnf(c_0_321,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| ~ vertical_3_1 ),
inference(spm,[status(thm)],[c_0_72,c_0_320]) ).
cnf(c_0_322,negated_conjecture,
( vertical_4_3
| horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_321,c_0_65]) ).
cnf(c_0_323,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_322]) ).
cnf(c_0_324,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_323,c_0_318]) ).
cnf(c_0_325,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| vertical_2_4
| ~ horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_314,c_0_324]) ).
cnf(c_0_326,negated_conjecture,
( horizontal_3_4
| horizontal_3_1
| vertical_2_4
| vertical_1_4
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_275]) ).
cnf(c_0_327,negated_conjecture,
( horizontal_4_3
| vertical_3_4
| vertical_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_325,c_0_317]) ).
cnf(c_0_328,negated_conjecture,
( horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_326,c_0_318]) ).
cnf(c_0_329,negated_conjecture,
( vertical_3_4
| vertical_3_2
| vertical_2_4
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_114,c_0_327]) ).
cnf(c_0_330,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_328]) ).
cnf(c_0_331,negated_conjecture,
( vertical_3_4
| vertical_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_329,c_0_318]) ).
cnf(c_0_332,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_333,negated_conjecture,
( vertical_3_2
| vertical_2_4
| vertical_1_4
| ~ horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_314,c_0_332]) ).
cnf(c_0_334,negated_conjecture,
( vertical_3_2
| vertical_2_4
| vertical_1_4 ),
inference(spm,[status(thm)],[c_0_333,c_0_317]) ).
cnf(c_0_335,negated_conjecture,
( vertical_4_3
| horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_128,c_0_334]) ).
cnf(c_0_336,negated_conjecture,
( horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_87,c_0_335]) ).
cnf(c_0_337,negated_conjecture,
( horizontal_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_336,c_0_318]) ).
cnf(c_0_338,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4
| ~ vertical_3_4 ),
inference(spm,[status(thm)],[c_0_116,c_0_337]) ).
cnf(c_0_339,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_338,c_0_331]) ).
cnf(c_0_340,negated_conjecture,
( vertical_3_2
| vertical_2_4
| ~ horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_314,c_0_339]) ).
cnf(c_0_341,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ),
unique_cover1_3_2 ).
cnf(c_0_342,negated_conjecture,
( vertical_3_2
| vertical_2_4 ),
inference(spm,[status(thm)],[c_0_340,c_0_317]) ).
cnf(c_0_343,negated_conjecture,
( vertical_2_4
| ~ horizontal_3_2 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_344,negated_conjecture,
( horizontal_3_3
| vertical_3_2
| horizontal_3_2
| ~ vertical_2_4 ),
inference(spm,[status(thm)],[c_0_146,c_0_205]) ).
cnf(c_0_345,negated_conjecture,
vertical_2_4,
inference(spm,[status(thm)],[c_0_343,c_0_317]) ).
cnf(c_0_346,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_4 ),
unique_cover6_3_4 ).
cnf(c_0_347,negated_conjecture,
( horizontal_3_3
| vertical_3_2
| horizontal_3_2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_345])]) ).
cnf(c_0_348,negated_conjecture,
~ horizontal_3_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_345])]) ).
cnf(c_0_349,negated_conjecture,
( vertical_3_2
| horizontal_3_2 ),
inference(sr,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_350,negated_conjecture,
~ vertical_3_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_345])]) ).
cnf(c_0_351,negated_conjecture,
( horizontal_4_3
| horizontal_3_2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_349]),c_0_350]),c_0_348]) ).
cnf(c_0_352,negated_conjecture,
( horizontal_3_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_196,c_0_351]) ).
cnf(c_0_353,negated_conjecture,
( vertical_3_3
| horizontal_3_2 ),
inference(sr,[status(thm)],[c_0_167,c_0_348]) ).
cnf(c_0_354,negated_conjecture,
horizontal_3_2,
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_355,negated_conjecture,
~ vertical_3_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_354])]) ).
cnf(c_0_356,negated_conjecture,
~ horizontal_3_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_354])]) ).
cnf(c_0_357,negated_conjecture,
horizontal_4_2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_354])]),c_0_355]) ).
cnf(c_0_358,negated_conjecture,
vertical_3_1,
inference(sr,[status(thm)],[c_0_65,c_0_356]) ).
cnf(c_0_359,negated_conjecture,
( horizontal_4_4
| horizontal_4_3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_357])]),c_0_350]),c_0_356]) ).
cnf(c_0_360,negated_conjecture,
~ horizontal_5_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_358])]) ).
cnf(c_0_361,negated_conjecture,
( vertical_4_3
| horizontal_4_3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_359]),c_0_360]) ).
cnf(c_0_362,negated_conjecture,
~ vertical_4_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_357])]) ).
cnf(c_0_363,negated_conjecture,
~ horizontal_4_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_357])]) ).
cnf(c_0_364,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_361,c_0_362]),c_0_363]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:15:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.57/0.58 start to proof: theBenchmark
% 0.57/0.62 % Version : CSE_E---1.5
% 0.57/0.62 % Problem : theBenchmark.p
% 0.57/0.62 % Proof found
% 0.57/0.62 % SZS status Theorem for theBenchmark.p
% 0.57/0.62 % SZS output start Proof
% See solution above
% 0.57/0.63 % Total time : 0.034000 s
% 0.57/0.63 % SZS output end Proof
% 0.57/0.63 % Total time : 0.037000 s
%------------------------------------------------------------------------------