%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ016-2.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 : Tue May 5 05:02:19 PM UTC 2026
% Result : Satisfiable 1.27s 1.72s
% Output : Saturation 1.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(covered_1_1,negated_conjecture,
( horizontal_1_1
| vertical_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_1) ).
cnf(uncovered3_1_2,negated_conjecture,
~ horizontal_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered3_1_2) ).
cnf(covered_1_4,negated_conjecture,
( vertical_1_4
| horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_4) ).
cnf(uncovered1_1_3,negated_conjecture,
~ horizontal_1_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered1_1_3) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_1) ).
cnf(unique_cover5_2_4,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_4) ).
cnf(unique_cover4_3_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_3) ).
cnf(covered_3_2,negated_conjecture,
( horizontal_3_2
| vertical_3_2
| horizontal_3_1
| vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_2) ).
cnf(unique_cover6_2_4,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_4) ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_2) ).
cnf(covered_3_3,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_3) ).
cnf(covered_3_1,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_1) ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_1) ).
cnf(unique_cover2_3_3,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_3) ).
cnf(covered_3_4,negated_conjecture,
( vertical_3_4
| horizontal_3_3
| vertical_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_4) ).
cnf(covered_4_3,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_3) ).
cnf(covered_2_3,negated_conjecture,
( horizontal_2_3
| vertical_2_3
| horizontal_2_2
| vertical_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_3) ).
cnf(uncovered2_1_3,negated_conjecture,
~ vertical_1_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered2_1_3) ).
cnf(covered_2_2,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_2) ).
cnf(uncovered2_1_2,negated_conjecture,
~ vertical_1_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered2_1_2) ).
cnf(unique_cover1_2_2,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_2) ).
cnf(unique_cover5_3_3,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_3) ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_3) ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_2) ).
cnf(unique_cover3_3_3,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_3) ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_3) ).
cnf(covered_4_2,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_2) ).
cnf(covered_4_4,negated_conjecture,
( horizontal_4_3
| vertical_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_4) ).
cnf(unique_cover2_4_2,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_2) ).
cnf(unique_cover6_4_2,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_2) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_3) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_3) ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_2) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_2) ).
cnf(unique_cover1_3_3,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_3) ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_2) ).
cnf(unique_cover6_3_3,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_3) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_2) ).
cnf(unique_cover6_4_4,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_4) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_4) ).
cnf(unique_cover3_4_2,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_2) ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_1) ).
cnf(unique_cover1_3_1,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_1) ).
cnf(covered_4_1,negated_conjecture,
( horizontal_4_1
| vertical_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_1) ).
cnf(uncovered1_1_2,negated_conjecture,
~ horizontal_1_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered1_1_2) ).
cnf(c_0_45,negated_conjecture,
( horizontal_1_1
| vertical_1_1 ),
covered_1_1 ).
cnf(c_0_46,negated_conjecture,
~ horizontal_1_1,
uncovered3_1_2,
[final] ).
cnf(c_0_47,negated_conjecture,
( vertical_1_4
| horizontal_1_3 ),
covered_1_4 ).
cnf(c_0_48,negated_conjecture,
~ horizontal_1_3,
uncovered1_1_3,
[final] ).
cnf(c_0_49,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ),
unique_cover5_2_1 ).
cnf(c_0_50,negated_conjecture,
vertical_1_1,
inference(sr,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_51,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_1_4 ),
unique_cover5_2_4 ).
cnf(c_0_52,negated_conjecture,
vertical_1_4,
inference(sr,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_53,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_2 ),
unique_cover4_3_3,
[final] ).
cnf(c_0_54,negated_conjecture,
( horizontal_3_2
| vertical_3_2
| horizontal_3_1
| vertical_2_2 ),
covered_3_2,
[final] ).
cnf(c_0_55,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_1_4 ),
unique_cover6_2_4 ).
cnf(c_0_56,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ),
unique_cover2_3_2,
[final] ).
cnf(c_0_57,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ),
covered_3_3,
[final] ).
cnf(c_0_58,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ),
covered_3_1 ).
cnf(c_0_59,negated_conjecture,
~ vertical_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]),
[final] ).
cnf(c_0_60,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ),
unique_cover3_2_1 ).
cnf(c_0_61,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_2 ),
unique_cover2_3_3,
[final] ).
cnf(c_0_62,negated_conjecture,
( vertical_3_4
| horizontal_3_3
| vertical_2_4 ),
covered_3_4 ).
cnf(c_0_63,negated_conjecture,
~ vertical_2_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
[final] ).
cnf(c_0_64,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[final] ).
cnf(c_0_65,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| vertical_3_3 ),
covered_4_3,
[final] ).
cnf(c_0_66,negated_conjecture,
( horizontal_2_3
| vertical_2_3
| horizontal_2_2
| vertical_1_3 ),
covered_2_3 ).
cnf(c_0_67,negated_conjecture,
~ vertical_1_3,
uncovered2_1_3,
[final] ).
cnf(c_0_68,negated_conjecture,
~ horizontal_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_52])]),
[final] ).
cnf(c_0_69,negated_conjecture,
( vertical_3_3
| horizontal_3_3
| vertical_2_3
| ~ horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_70,negated_conjecture,
( vertical_3_1
| horizontal_3_1 ),
inference(sr,[status(thm)],[c_0_58,c_0_59]),
[final] ).
cnf(c_0_71,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ),
covered_2_2 ).
cnf(c_0_72,negated_conjecture,
~ vertical_1_2,
uncovered2_1_2,
[final] ).
cnf(c_0_73,negated_conjecture,
~ horizontal_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_50])]),
[final] ).
cnf(c_0_74,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_2
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_61,c_0_54]),
[final] ).
cnf(c_0_75,negated_conjecture,
( vertical_3_4
| horizontal_3_3 ),
inference(sr,[status(thm)],[c_0_62,c_0_63]),
[final] ).
cnf(c_0_76,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_2 ),
unique_cover1_2_2,
[final] ).
cnf(c_0_77,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| vertical_3_2
| horizontal_3_1
| vertical_2_2 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_78,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_2_3 ),
unique_cover5_3_3,
[final] ).
cnf(c_0_79,negated_conjecture,
( vertical_2_3
| horizontal_2_2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_66,c_0_67]),c_0_68]),
[final] ).
cnf(c_0_80,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ),
unique_cover4_2_3,
[final] ).
cnf(c_0_81,negated_conjecture,
( vertical_3_3
| horizontal_3_3
| vertical_3_1
| vertical_2_3 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_82,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ),
unique_cover6_3_2,
[final] ).
cnf(c_0_83,negated_conjecture,
( vertical_2_2
| horizontal_2_2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_71,c_0_72]),c_0_73]),
[final] ).
cnf(c_0_84,negated_conjecture,
( vertical_3_4
| vertical_3_2
| horizontal_3_1
| vertical_2_2 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_3 ),
unique_cover3_3_3,
[final] ).
cnf(c_0_86,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ),
unique_cover2_4_3,
[final] ).
cnf(c_0_87,negated_conjecture,
( horizontal_4_2
| horizontal_4_1
| vertical_3_2 ),
covered_4_2,
[final] ).
cnf(c_0_88,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| vertical_3_2
| horizontal_3_1
| ~ horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_89,negated_conjecture,
( horizontal_2_2
| ~ vertical_3_3 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[final] ).
cnf(c_0_90,negated_conjecture,
( vertical_3_3
| horizontal_3_3
| vertical_3_1
| ~ horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_91,negated_conjecture,
( horizontal_2_2
| ~ horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]),
[final] ).
cnf(c_0_92,negated_conjecture,
( vertical_3_4
| vertical_3_2
| horizontal_3_1
| ~ horizontal_2_2 ),
inference(spm,[status(thm)],[c_0_76,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
( horizontal_2_2
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_85,c_0_79]),
[final] ).
cnf(c_0_94,negated_conjecture,
( horizontal_4_1
| vertical_3_2
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]),
[final] ).
cnf(c_0_95,negated_conjecture,
( horizontal_4_3
| vertical_3_4 ),
covered_4_4,
[final] ).
cnf(c_0_96,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_1 ),
unique_cover2_4_2,
[final] ).
cnf(c_0_97,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| vertical_3_2
| horizontal_3_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_65]),
[final] ).
cnf(c_0_98,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_2 ),
unique_cover6_4_2,
[final] ).
cnf(c_0_99,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ),
unique_cover3_4_3,
[final] ).
cnf(c_0_100,negated_conjecture,
( vertical_3_3
| horizontal_3_3
| vertical_3_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_70]),
[final] ).
cnf(c_0_101,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ),
unique_cover6_4_3,
[final] ).
cnf(c_0_102,negated_conjecture,
( vertical_3_4
| vertical_3_2
| horizontal_3_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_75]),
[final] ).
cnf(c_0_103,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ),
unique_cover4_3_2,
[final] ).
cnf(c_0_104,negated_conjecture,
( horizontal_4_1
| vertical_3_4
| vertical_3_2 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]),
[final] ).
cnf(c_0_105,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ),
unique_cover1_3_2,
[final] ).
cnf(c_0_106,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_3 ),
unique_cover1_3_3,
[final] ).
cnf(c_0_107,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ),
unique_cover3_3_2,
[final] ).
cnf(c_0_108,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_3 ),
unique_cover6_3_3,
[final] ).
cnf(c_0_109,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ),
unique_cover5_3_2,
[final] ).
cnf(c_0_110,negated_conjecture,
( horizontal_4_3
| horizontal_3_1
| ~ horizontal_4_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),
[final] ).
cnf(c_0_111,negated_conjecture,
( horizontal_3_3
| vertical_3_1
| ~ horizontal_4_3 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]),
[final] ).
cnf(c_0_112,negated_conjecture,
( horizontal_3_3
| vertical_3_1
| ~ horizontal_4_2 ),
inference(spm,[status(thm)],[c_0_101,c_0_100]),
[final] ).
cnf(c_0_113,negated_conjecture,
( vertical_3_4
| horizontal_3_1
| ~ horizontal_4_1 ),
inference(spm,[status(thm)],[c_0_98,c_0_102]),
[final] ).
cnf(c_0_114,negated_conjecture,
( horizontal_4_1
| vertical_3_4
| ~ horizontal_3_1 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]),
[final] ).
cnf(c_0_115,negated_conjecture,
( vertical_3_3
| horizontal_3_3
| vertical_2_3
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_105,c_0_57]),
[final] ).
cnf(c_0_116,negated_conjecture,
( horizontal_4_3
| horizontal_4_2
| ~ horizontal_3_3 ),
inference(spm,[status(thm)],[c_0_106,c_0_65]),
[final] ).
cnf(c_0_117,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_4 ),
unique_cover6_4_4,
[final] ).
cnf(c_0_118,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ),
unique_cover4_3_4,
[final] ).
cnf(c_0_119,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_2 ),
unique_cover3_4_2,
[final] ).
cnf(c_0_120,negated_conjecture,
( vertical_3_3
| horizontal_3_3
| vertical_2_3
| ~ vertical_2_2 ),
inference(spm,[status(thm)],[c_0_107,c_0_57]),
[final] ).
cnf(c_0_121,negated_conjecture,
( vertical_3_2
| horizontal_3_1
| vertical_2_2
| ~ vertical_2_3 ),
inference(spm,[status(thm)],[c_0_108,c_0_54]),
[final] ).
cnf(c_0_122,negated_conjecture,
( horizontal_2_2
| ~ vertical_3_2 ),
inference(spm,[status(thm)],[c_0_109,c_0_83]),
[final] ).
cnf(c_0_123,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ),
unique_cover3_4_1,
[final] ).
cnf(c_0_124,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_1 ),
unique_cover1_3_1,
[final] ).
cnf(c_0_125,negated_conjecture,
( horizontal_4_1
| vertical_3_1 ),
covered_4_1,
[final] ).
cnf(c_0_126,negated_conjecture,
~ horizontal_1_2,
uncovered1_1_2,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ016-2.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:34:06 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start Saturation
% See solution above
% 1.27/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------