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E-SAT---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYN493-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 03:34:31 PM UTC 2026

% Result   : Satisfiable 0.14s 5.49s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_53ERROR: Could not build tree for root c_0_115ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_49,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp6 ),
    clause12,
    [final] ).

cnf(c_0_54,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]),
    [final] ).

cnf(c_0_60,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]),
    [final] ).

cnf(c_0_61,negated_conjecture,
    ( ~ hskp2
    | c3_1(a43) ),
    c_0_55,
    [final] ).

cnf(c_0_62,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a43) ),
    c_0_56,
    [final] ).

cnf(c_0_63,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | c0_1(X2)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_54])]),
    [final] ).

cnf(c_0_64,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a43) ),
    c_0_58,
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a43)
    | hskp10
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_64]),
    [final] ).

cnf(c_0_78,negated_conjecture,
    ( ~ hskp7
    | c3_1(a44) ),
    c_0_65,
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp7
    | c1_1(a44) ),
    c_0_66,
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_54])]),
    [final] ).

cnf(c_0_81,negated_conjecture,
    ( ~ hskp7
    | c0_1(a44) ),
    c_0_68,
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( ~ hskp9
    | c3_1(a46) ),
    c_0_70,
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( ~ hskp9
    | c1_1(a46) ),
    c_0_71,
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( ~ hskp9
    | c0_1(a46) ),
    c_0_72,
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( ~ hskp8
    | c3_1(a45) ),
    c_0_73,
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( ~ hskp8
    | c2_1(a45) ),
    c_0_74,
    [final] ).

cnf(c_0_92,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_61]),c_0_62]),c_0_64]),
    [final] ).

cnf(c_0_93,negated_conjecture,
    ( ~ hskp8
    | c1_1(a45) ),
    c_0_76,
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( ~ hskp7
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_78]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( hskp5
    | hskp1
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_54])]),
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( ~ hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_84]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_103,negated_conjecture,
    ( ~ hskp1
    | c3_1(a41) ),
    c_0_87,
    [final] ).

cnf(c_0_104,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a41) ),
    c_0_88,
    [final] ).

cnf(c_0_105,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c0_1(a45)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_89]),c_0_90]),
    [final] ).

cnf(c_0_106,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a41) ),
    c_0_91,
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c0_1(a45)
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_96]),
    [final] ).

cnf(c_0_110,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | hskp3
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_54])]),
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( ~ hskp6
    | c3_1(a42) ),
    c_0_98,
    [final] ).

cnf(c_0_112,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a42) ),
    c_0_99,
    [final] ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp6
    | c2_1(a42) ),
    c_0_100,
    [final] ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | c1_1(X1)
    | c1_1(a41)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_103]),c_0_104]),
    [final] ).

cnf(c_0_116,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | hskp10
    | c0_1(a45)
    | c2_1(a46) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_84]),c_0_85]),
    [final] ).

cnf(c_0_117,negated_conjecture,
    ( ~ hskp9
    | ~ hskp1
    | hskp8
    | c1_1(a41) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_102]),c_0_106]),
    [final] ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | hskp10
    | c0_1(a45)
    | c2_1(a44) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_78]),c_0_79]),
    [final] ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp7
    | ~ hskp1
    | hskp8
    | c1_1(a41) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_95]),c_0_106]),
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_96]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp3
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_111]),c_0_112]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | hskp10
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_111]),c_0_113]),c_0_112]),
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp2
    | ~ hskp1
    | ~ c1_1(a41)
    | ~ c2_1(a43)
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_103]),c_0_104]),
    [final] ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp8
    | ~ hskp1
    | ~ c1_1(a41)
    | hskp10
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_103]),c_0_104]),
    [final] ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | hskp10
    | hskp3
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_118]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X1)
    | ~ c1_1(a42)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_113]),c_0_112]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a39) ),
    c_0_124,
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a39) ),
    c_0_126,
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a39) ),
    c_0_127,
    [final] ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | c2_1(a46) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_84]),c_0_85]),
    [final] ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp6
    | ~ hskp1
    | ~ c1_1(a41)
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_103]),c_0_104]),
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | c2_1(a44) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_78]),c_0_79]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ hskp1
    | ~ c1_1(a41)
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_107]),c_0_132]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp8
    | ~ hskp1
    | ~ c0_1(a45)
    | c1_1(a41) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_103]),c_0_106]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp9
    | ~ hskp1
    | hskp10
    | c1_1(a41)
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_103]),c_0_106]),
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp7
    | ~ hskp1
    | hskp10
    | c1_1(a41)
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_103]),c_0_106]),
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_54])]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_118]),c_0_137]),c_0_79]),c_0_81]),c_0_138]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp7
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_118]),c_0_95]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp3
    | c3_1(a48) ),
    c_0_139,
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a48) ),
    c_0_140,
    [final] ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp7
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_95]),
    [final] ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(a42)
    | ~ c0_1(a45)
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp0
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( ~ c2_1(X1)
    | hskp4
    | hskp0
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_54])]),
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | c2_1(a43) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_116]),c_0_152]),c_0_85]),c_0_86]),c_0_153]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ hskp1
    | ~ c0_1(a45)
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | ~ hskp1
    | hskp10
    | c0_1(a45) ),
    inference(spm,[status(thm)],[c_0_132,c_0_156]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ hskp1
    | hskp10
    | c0_1(a45) ),
    inference(spm,[status(thm)],[c_0_132,c_0_157]),
    [final] ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | c2_1(a44) ),
    inference(spm,[status(thm)],[c_0_94,c_0_159]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_161]),c_0_162]),
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp0
    | ~ c0_1(a45)
    | hskp5
    | hskp3
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | hskp10
    | hskp3
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_116]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp9
    | ~ hskp0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_102]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_103]),c_0_149]),c_0_106]),
    [final] ).

cnf(c_0_184,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ c1_1(a42)
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_148]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp6
    | hskp4
    | hskp0
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_113]),c_0_112]),
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp7
    | ~ hskp0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_95]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_103]),c_0_149]),c_0_106]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(a42)
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_151]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_61]),c_0_62]),c_0_64]),
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | c2_1(a46) ),
    inference(spm,[status(thm)],[c_0_101,c_0_169]),
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ hskp1
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_173]),c_0_174]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(X1)
    | ~ c2_1(a43)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_96]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_96]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_176]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_151]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(spm,[status(thm)],[c_0_178,c_0_96]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_183]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp4
    | hskp3
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_142]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp4
    | hskp3
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_185]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_85]),c_0_86]),c_0_191]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_176]),c_0_79]),c_0_81]),c_0_192]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_107]),c_0_194]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_169]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_159]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_195,c_0_107]),
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_196]),c_0_159]),
    [final] ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c3_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_118]),c_0_79]),c_0_81]),c_0_175]),
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_175]),
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp1
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_96]),
    [final] ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_197]),
    [final] ).

cnf(c_0_219,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1) ),
    inference(ef,[status(thm)],[c_0_177]),
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_198]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp8
    | ~ hskp3
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp3
    | hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_200]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_223,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp3
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(ef,[status(thm)],[c_0_179]),
    [final] ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_148]),c_0_85]),c_0_86]),c_0_183]),
    [final] ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]),
    [final] ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_151]),c_0_79]),c_0_81]),c_0_187]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]),
    [final] ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_148]),c_0_85]),c_0_86]),c_0_183]),
    [final] ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X1)
    | c1_1(a42)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_151]),c_0_79]),c_0_81]),c_0_187]),
    [final] ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_175]),c_0_105]),
    [final] ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ hskp0
    | hskp10
    | hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_205]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_169]),c_0_62]),c_0_64]),
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ hskp0
    | hskp10
    | hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_206]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_159]),c_0_62]),c_0_64]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c0_1(a45)
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_207]),
    [final] ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_210]),c_0_123]),
    [final] ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a40) ),
    c_0_212,
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp5
    | c1_1(a40) ),
    c_0_213,
    [final] ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a40) ),
    c_0_214,
    [final] ).

cnf(c_0_244,negated_conjecture,
    ( ~ hskp6
    | ~ hskp3
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_111]),c_0_112]),
    [final] ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp3
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_61]),c_0_62]),c_0_64]),
    [final] ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_215]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp9
    | hskp8
    | hskp4
    | c1_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_102]),c_0_182]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp7
    | hskp8
    | hskp4
    | c1_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_95]),c_0_186]),
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_216]),c_0_123]),
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_217]),
    [final] ).

cnf(c_0_259,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp4
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_219]),c_0_220]),
    [final] ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp8
    | ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_220]),
    [final] ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp8
    | ~ hskp0
    | hskp10
    | hskp6
    | hskp5
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_220]),c_0_222]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp9
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_116]),c_0_102]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_263,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp5
    | hskp4
    | hskp3
    | hskp2
    | hskp1
    | c1_1(X1)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_223]),c_0_222]),
    [final] ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp9
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_181]),c_0_102]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_148]),c_0_85]),c_0_86]),c_0_183]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_151]),c_0_79]),c_0_81]),c_0_187]),
    [final] ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_116]),c_0_102]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | hskp10
    | hskp5
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(a45)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_118]),c_0_95]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp5
    | hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(a48) ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_228]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp0
    | hskp10
    | hskp5
    | c1_1(a42) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_229]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_215]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_175]),
    [final] ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | hskp10
    | hskp9
    | hskp5
    | hskp1
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_96]),
    [final] ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp10
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp10
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_233,c_0_234]),
    [final] ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ hskp0
    | ~ c0_1(a45)
    | hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_235]),c_0_146]),c_0_147]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_90]),c_0_93]),c_0_170]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_190]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1)
    | c2_1(a44) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_78]),c_0_79]),
    [final] ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_176]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp8
    | ~ hskp1
    | ~ c1_1(X1)
    | ~ c1_1(a41)
    | ~ c2_1(X1)
    | hskp10
    | hskp9
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_103]),c_0_104]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | c0_1(X2)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_196]),c_0_211]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_176]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp7
    | ~ hskp5
    | ~ hskp2
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_211]),c_0_242]),c_0_243]),
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_148]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp3
    | hskp10
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_151]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp3
    | ~ c0_1(a45)
    | c1_1(a42)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | ~ hskp2
    | hskp10
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_190]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp7
    | ~ hskp3
    | ~ hskp2
    | hskp10
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_176]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp8
    | ~ hskp3
    | ~ hskp2
    | ~ c0_1(a45)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp3
    | ~ hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(a41)
    | c2_1(a48) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_103]),c_0_106]),
    [final] ).

cnf(c_0_295,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp1
    | ~ c0_1(a45)
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_149,c_0_155]),
    [final] ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp8
    | ~ hskp7
    | ~ hskp5
    | hskp10
    | hskp9
    | c0_1(a45) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_246]),c_0_242]),c_0_243]),
    [final] ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp8
    | ~ hskp5
    | ~ hskp2
    | ~ c0_1(a45)
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_210]),c_0_242]),c_0_243]),
    [final] ).

cnf(c_0_298,negated_conjecture,
    ( ~ hskp8
    | ~ hskp2
    | ~ c0_1(a45)
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_107]),c_0_62]),c_0_64]),
    [final] ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | hskp8
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_247]),c_0_64]),
    [final] ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2
    | hskp8
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_248]),c_0_64]),
    [final] ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | hskp10
    | hskp8
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_182,c_0_202]),
    [final] ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | hskp10
    | hskp8
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_186,c_0_204]),
    [final] ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_304,negated_conjecture,
    ( ~ hskp9
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_148]),c_0_85]),c_0_86]),
    [final] ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c0_1(a45)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_90]),c_0_93]),
    [final] ).

cnf(c_0_306,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp9
    | hskp3
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_151]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ c1_1(X1)
    | hskp10
    | hskp5
    | hskp3
    | hskp1
    | c0_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_151]),c_0_79]),c_0_81]),
    [final] ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp5
    | ~ c0_1(a45)
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_216]),c_0_242]),c_0_243]),
    [final] ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp7
    | ~ hskp6
    | ~ hskp5
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_218]),c_0_242]),c_0_243]),
    [final] ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ c0_1(a45)
    | hskp4
    | hskp3
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_164,c_0_185]),
    [final] ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp4
    | c2_1(a38) ),
    c_0_252,
    [final] ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp3
    | c0_1(a48) ),
    c_0_253,
    [final] ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp10
    | c1_1(a47) ),
    c_0_254,
    [final] ).

cnf(c_0_314,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a38) ),
    c_0_255,
    [final] ).

cnf(c_0_315,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a38) ),
    c_0_256,
    [final] ).

cnf(c_0_316,negated_conjecture,
    ( ~ hskp10
    | c3_1(a47) ),
    c_0_257,
    [final] ).

cnf(c_0_317,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a47) ),
    c_0_258,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN493-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38  % Computer : n020.cluster.edu
% 0.10/5.38  % Model    : x86_64 x86_64
% 0.10/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38  % Memory   : 8046.5625MB
% 0.10/5.38  % OS       : Linux 6.8.0-71-generic
% 0.10/5.38  % CPULimit : 300
% 0.10/5.38  % WCLimit  : 300
% 0.10/5.38  % DateTime : Mon Sep 21 11:03:39 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.10/5.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.43  Running first-order theorem proving
% 0.14/5.43  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.14/5.49  % Version: 3.5.1
% 0.14/5.49  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.14/5.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.49  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/5.49  % Starting new_bool_3 with 300s (1) cores
% 0.14/5.49  % Starting new_bool_1 with 300s (1) cores
% 0.14/5.49  % Starting sh5l with 300s (1) cores
% 0.14/5.49  % SAT001_MinMin_p005000_rr_RG with pid 2764361 completed with status 1
% 0.14/5.49  % Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/5.49  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.14/5.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.49  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/5.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.49  % No SInE strategy applied
% 0.14/5.49  % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.14/5.49  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.49  % Starting SubtermCWHack with 151s (1) cores
% 0.14/5.49  % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.14/5.49  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.14/5.49  % Starting new_bool_3 with 151s (1) cores
% 0.14/5.49  % Starting new_bool_1 with 146s (1) cores
% 0.14/5.49  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2764368 completed with status 1
% 0.14/5.49  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/5.49  % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.14/5.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.49  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/5.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.49  % No SInE strategy applied
% 0.14/5.49  % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.14/5.49  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.49  % Starting SubtermCWHack with 151s (1) cores
% 0.14/5.49  % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.14/5.49  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.14/5.49  % Preprocessing time       : 0.001 s
% 0.14/5.49  % Presaturation interreduction done
% 0.14/5.49  
% 0.14/5.49  % No proof found!
% 0.14/5.49  % SZS status Satisfiable
% 0.14/5.49  % SZS output start Saturation
% See solution above
% 0.14/5.49  % Parsed axioms                        : 52
% 0.14/5.49  % Removed by relevancy pruning/SinE    : 0
% 0.14/5.49  % Initial clauses                      : 52
% 0.14/5.49  % Removed in clause preprocessing      : 0
% 0.14/5.49  % Initial clauses in saturation        : 52
% 0.14/5.49  % Processed clauses                    : 1013
% 0.14/5.49  % ...of these trivial                  : 9
% 0.14/5.49  % ...subsumed                          : 688
% 0.14/5.49  % ...remaining for further processing  : 316
% 0.14/5.49  % Other redundant clauses eliminated   : 0
% 0.14/5.49  % Clauses deleted for lack of memory   : 0
% 0.14/5.49  % Backward-subsumed                    : 56
% 0.14/5.49  % Backward-rewritten                   : 14
% 0.14/5.49  % Generated clauses                    : 2081
% 0.14/5.49  % ...of the previous two non-redundant : 1070
% 0.14/5.49  % ...aggressively subsumed             : 0
% 0.14/5.49  % Contextual simplify-reflections      : 262
% 0.14/5.49  % Paramodulations                      : 2077
% 0.14/5.49  % Factorizations                       : 4
% 0.14/5.49  % NegExts                              : 0
% 0.14/5.49  % Equation resolutions                 : 0
% 0.14/5.49  % Disequality decompositions           : 0
% 0.14/5.49  % Total rewrite steps                  : 18
% 0.14/5.49  % ...of those cached                   : 17
% 0.14/5.49  % Propositional unsat checks           : 0
% 0.14/5.49  %    Propositional check models        : 0
% 0.14/5.49  %    Propositional check unsatisfiable : 0
% 0.14/5.49  %    Propositional clauses             : 0
% 0.14/5.49  %    Propositional clauses after purity: 0
% 0.14/5.49  %    Propositional unsat core size     : 0
% 0.14/5.49  %    Propositional preprocessing time  : 0.000
% 0.14/5.49  %    Propositional encoding time       : 0.000
% 0.14/5.49  %    Propositional solver time         : 0.000
% 0.14/5.49  %    Success case prop preproc time    : 0.000
% 0.14/5.49  %    Success case prop encoding time   : 0.000
% 0.14/5.49  %    Success case prop solver time     : 0.000
% 0.14/5.49  % Current number of processed clauses  : 194
% 0.14/5.49  %    Positive orientable unit clauses  : 1
% 0.14/5.49  %    Positive unorientable unit clauses: 0
% 0.14/5.49  %    Negative unit clauses             : 0
% 0.14/5.49  %    Non-unit-clauses                  : 193
% 0.14/5.49  % Current number of unprocessed clauses: 0
% 0.14/5.49  % ...number of literals in the above   : 0
% 0.14/5.49  % Current number of archived formulas  : 0
% 0.14/5.49  % Current number of archived clauses   : 122
% 0.14/5.49  % Clause-clause subsumption calls (NU) : 39589
% 0.14/5.49  % Rec. Clause-clause subsumption calls : 1443
% 0.14/5.49  % Non-unit clause-clause subsumptions  : 1006
% 0.14/5.49  % Unit Clause-clause subsumption calls : 3
% 0.14/5.49  % Rewrite failures with RHS unbound    : 0
% 0.14/5.49  % BW rewrite match attempts            : 1
% 0.14/5.49  % BW rewrite match successes           : 1
% 0.14/5.49  % Condensation attempts                : 0
% 0.14/5.49  % Condensation successes               : 0
% 0.14/5.49  % Termbank termtop insertions          : 40484
% 0.14/5.49  % Search garbage collected termcells   : 122
% 0.14/5.49  
% 0.14/5.49  % -------------------------------------------------
% 0.14/5.49  % User time                : 0.043 s
% 0.14/5.49  % System time              : 0.006 s
% 0.14/5.49  % Total time               : 0.048 s
% 0.14/5.49  % Maximum resident set size: 3616 pages
% 0.14/5.49  
% 0.14/5.49  % -------------------------------------------------
% 0.14/5.49  % User time                : 0.220 s
% 0.14/5.49  % System time              : 0.018 s
% 0.14/5.49  % Total time               : 0.238 s
% 0.14/5.49  % Maximum resident set size: 4864 pages
% 0.14/5.49  % E exiting
%------------------------------------------------------------------------------