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E---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN531-1 : 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 : n019.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 03:25:22 PM UTC 2026

% Result   : Satisfiable 0.23s 0.83s
% Output   : Saturation 0.23s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_105ERROR: Could not build tree for root c_0_118ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_92,negated_conjecture,
    ( ~ c5_0
    | c2_0 ),
    c_0_84,
    [final] ).

cnf(c_0_94,negated_conjecture,
    ( ~ c5_0
    | ~ ndr1_1(a399)
    | ~ c5_2(a399,X1)
    | ~ c1_2(a399,X1)
    | ~ c2_2(a399,X1)
    | c3_0 ),
    c_0_87,
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( ssSkP0(X1)
    | c5_2(X1,a387) ),
    clause20,
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( ssSkP0(X1)
    | ndr1_1(X1) ),
    clause11,
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( ssSkP0(X1)
    | c2_2(X1,a387) ),
    clause21,
    [final] ).

cnf(c_0_98,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c3_2(X1,X2)
    | c5_1(X1)
    | c3_1(X1)
    | c1_2(X1,X2)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_88]),
    [final] ).

cnf(c_0_99,negated_conjecture,
    ( ssSkP0(X1)
    | c3_2(X1,a387) ),
    clause22,
    [final] ).

cnf(c_0_102,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),
    [final] ).

cnf(c_0_103,negated_conjecture,
    ( ~ c5_0
    | ~ c1_2(a399,a387)
    | ssSkP0(a399)
    | c3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]),
    [final] ).

cnf(c_0_104,negated_conjecture,
    ( c5_1(X1)
    | c3_1(X1)
    | ssSkP0(X1)
    | c1_2(X1,a387)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_96]),
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( ~ ssSkP0(X1)
    | c2_1(X1)
    | c3_2(X1,a388)
    | ssSkC0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]),
    [final] ).

cnf(c_0_110,negated_conjecture,
    ( ~ c5_0
    | c5_1(a399)
    | c3_1(a399)
    | ssSkP0(a399)
    | c3_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]),
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( ~ c5_0
    | ~ c2_1(a399)
    | c3_0 ),
    c_0_105,
    [final] ).

cnf(c_0_112,negated_conjecture,
    ( c2_1(X1)
    | ndr1_1(X1)
    | ssSkC0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_102])]),
    [final] ).

cnf(c_0_118,negated_conjecture,
    ( ~ c5_0
    | ndr1_1(a399)
    | c3_0
    | ssSkC0 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ ssSkP0(X1)
    | ~ c1_2(X1,a388)
    | c2_1(X1)
    | ssSkC0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_102])]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( c2_1(X1)
    | c3_2(X1,a388)
    | c3_2(X1,a387)
    | ssSkC0 ),
    inference(spm,[status(thm)],[c_0_109,c_0_99]),
    [final] ).

cnf(c_0_139,negated_conjecture,
    ( ~ ndr1_1(X1)
    | c2_0
    | c1_1(X1)
    | c3_0
    | c2_2(X1,X2)
    | c3_2(X1,X2)
    | c4_2(X1,X2) ),
    inference(csr,[status(thm)],[c_0_120,c_0_121]),
    [final] ).

cnf(c_0_140,negated_conjecture,
    ( ~ ssSkC2
    | c5_0
    | ndr1_1(a393) ),
    c_0_122,
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | c4_0
    | c3_0
    | c3_2(X1,a398) ),
    inference(csr,[status(thm)],[c_0_127,c_0_121]),
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( ~ c5_0
    | c5_1(a399)
    | c3_1(a399)
    | c3_0
    | ssSkC0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_110]),c_0_111]),
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( c4_0
    | c5_0 ),
    clause1,
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( c2_1(X1)
    | c5_2(X1,a387)
    | c3_2(X1,a388)
    | ssSkC0 ),
    inference(spm,[status(thm)],[c_0_109,c_0_95]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( c2_1(X1)
    | c2_2(X1,a387)
    | c3_2(X1,a388)
    | ssSkC0 ),
    inference(spm,[status(thm)],[c_0_109,c_0_97]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( ~ c3_0
    | ~ c2_0 ),
    c_0_131,
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( ~ ssSkC2
    | ~ ndr1_1(a393)
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | c3_0
    | c2_2(a393,X1)
    | c2_2(a407,a409)
    | c1_2(a393,X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_137]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c2_2(a407,a409)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_102])]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ ssSkC2
    | c2_0
    | c1_1(a393)
    | c3_0
    | c2_2(a393,X1)
    | c3_2(a393,X1)
    | c4_2(a393,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_92]),
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ ssSkC2
    | ~ ndr1_1(a393)
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | c3_0
    | c2_2(a393,X1)
    | c1_2(a393,X1)
    | c1_2(a407,a409)
    | epred9_0 ),
    inference(split_equiv,[status(thm)],[c_0_141]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ ssSkC2
    | ~ ndr1_1(a393)
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | c3_0
    | c2_2(a393,X1)
    | c1_2(a393,X1)
    | c1_2(a407,a408)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_142]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c1_2(X1,X2)
    | c1_2(a407,a409) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_102])]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c1_2(X1,X2)
    | c1_2(a407,a408) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_102])]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ ssSkC2
    | ~ ndr1_1(a393)
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | ndr1_1(a407)
    | c3_0
    | c2_2(a393,X1)
    | c1_2(a393,X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_145]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( c2_2(a393,X1)
    | c3_2(a393,X1)
    | epred7_0 ),
    inference(split_equiv,[status(thm)],[c_0_146]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( ~ c5_1(X1)
    | ~ c1_1(X1)
    | ~ c3_2(X1,a389)
    | ~ ssSkC0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_102])]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( ~ c3_2(a393,a394)
    | ~ ssSkC2
    | c5_0 ),
    c_0_148,
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ c2_2(a393,a394)
    | ~ ssSkC2
    | c5_0 ),
    c_0_149,
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | ndr1_1(a407)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_102])]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( ~ c1_1(a399)
    | c4_0
    | c5_1(a399)
    | c3_0
    | c3_2(a399,a398)
    | ssSkC0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( c2_1(X1)
    | c5_1(X1)
    | c3_1(X1)
    | c3_2(X1,a387)
    | ssSkC0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_156]),c_0_99]),
    [final] ).

cnf(c_0_215,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0
    | c3_2(a396,a397) ),
    c_0_160,
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0
    | ndr1_1(a396) ),
    c_0_161,
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0
    | ~ c3_1(a396) ),
    c_0_162,
    [final] ).

cnf(c_0_228,negated_conjecture,
    ( ~ c5_0
    | c1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_92]),
    [final] ).

cnf(c_0_232,negated_conjecture,
    ( ssSkC2
    | c3_1(a392) ),
    clause9,
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( ssSkC2
    | c1_1(a392) ),
    clause10,
    [final] ).

cnf(c_0_234,negated_conjecture,
    ( ~ ssSkP0(X1)
    | c2_1(X1)
    | c2_2(X1,a388)
    | ssSkC0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_102])]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( ~ c5_1(X1)
    | ~ c1_1(X1)
    | ~ ssSkC0
    | c1_2(X1,a389) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_102])]),
    [final] ).

cnf(c_0_236,negated_conjecture,
    ( ssSkC2
    | c5_1(a392) ),
    clause8,
    [final] ).

cnf(c_0_240,negated_conjecture,
    ( ~ c5_1(X1)
    | ~ c1_1(X1)
    | ndr1_1(X1)
    | epred5_0 ),
    inference(split_equiv,[status(thm)],[c_0_181]),
    [final] ).

cnf(c_0_241,negated_conjecture,
    ( c2_1(X1)
    | ndr1_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_182]),
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ c5_1(X1)
    | ~ c1_1(X1)
    | ~ ssSkC0
    | ndr1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_102])]),
    [final] ).

cnf(c_0_243,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | c4_0
    | ndr1_1(X1)
    | c3_0 ),
    inference(csr,[status(thm)],[c_0_184,c_0_121]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( ~ ndr1_1(a400)
    | ~ c3_2(a400,X1)
    | ssSkC3 ),
    c_0_189,
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( ~ ssSkC2
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | c3_0
    | c2_2(a393,X1)
    | c2_2(a407,a409)
    | c1_2(a393,X1)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_140]),c_0_92]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ epred7_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_137]),c_0_146]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ ssSkC2
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | c3_0
    | c2_2(a393,X1)
    | c1_2(a393,X1)
    | c1_2(a407,a409)
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_140]),c_0_92]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ ssSkC2
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | c3_0
    | c2_2(a393,X1)
    | c1_2(a393,X1)
    | c1_2(a407,a408)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_140]),c_0_92]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( ~ epred7_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_197]),c_0_141]),c_0_146]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_197]),c_0_142]),c_0_146]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( ~ ssSkC2
    | c2_0
    | c5_1(a393)
    | c1_1(a393)
    | ndr1_1(a407)
    | c3_0
    | c2_2(a393,X1)
    | c1_2(a393,X1)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_140]),c_0_92]),
    [final] ).

cnf(c_0_275,negated_conjecture,
    ( ~ ndr1_1(a393)
    | c5_1(a393)
    | c3_1(a393)
    | c2_2(a393,X1)
    | c1_2(a393,X1)
    | epred2_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_98,c_0_203]),
    [final] ).

cnf(c_0_276,negated_conjecture,
    ( ~ c5_1(a393)
    | ~ c1_1(a393)
    | ~ ssSkC0
    | c2_2(a393,a389)
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_203]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( ~ ssSkC2
    | c5_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_203]),c_0_206]),
    [final] ).

cnf(c_0_278,negated_conjecture,
    ( ~ epred6_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_197]),c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ( ~ c1_1(a399)
    | ~ ndr1_1(a399)
    | c4_0
    | c5_1(a399)
    | c3_1(a399)
    | c3_0
    | c1_2(a399,a398)
    | ssSkC0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_98,c_0_208]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c5_2(a407,a408)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_102])]),
    [final] ).

cnf(c_0_281,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c3_2(a407,a409)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_102])]),
    [final] ).

cnf(c_0_282,negated_conjecture,
    ( c2_1(X1)
    | c5_1(X1)
    | c3_1(X1)
    | c1_2(X1,a387)
    | ssSkC0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_211]),c_0_112]),
    [final] ).

cnf(c_0_283,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ c3_2(a407,a408)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_102])]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( c2_1(X1)
    | c5_1(X1)
    | c3_1(X1)
    | c5_2(X1,a387)
    | ssSkC0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_213]),c_0_95]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ( c2_1(X1)
    | c5_1(X1)
    | c3_1(X1)
    | c2_2(X1,a387)
    | ssSkC0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_214]),c_0_97]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0
    | c5_1(a396)
    | c1_2(a396,a397)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_215]),c_0_216]),c_0_217]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( ~ ssSkC1
    | ~ ndr1_1(a391)
    | ~ c3_2(a391,X1)
    | ~ c1_2(a391,X1)
    | c4_2(a391,X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_218]),c_0_102])]),
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( ~ ssSkC1
    | ~ ndr1_1(a391)
    | ~ c5_2(a391,X1)
    | c1_2(a391,X1)
    | c4_2(a391,X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_102])]),
    [final] ).

cnf(c_0_289,negated_conjecture,
    ( ~ c2_1(a407)
    | ~ ndr1_1(X1)
    | ~ c4_2(X1,X3)
    | c5_1(X1)
    | c2_2(X1,X3)
    | c2_2(X1,X2)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_102])]),
    [final] ).

cnf(c_0_290,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ ndr1_1(X1)
    | ~ c5_2(X1,a405)
    | ~ c3_2(X1,X2)
    | c5_2(X1,X2)
    | c2_2(X1,X2)
    | ssSkC4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_102])]),
    [final] ).

cnf(c_0_291,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ ndr1_1(X1)
    | ~ c2_2(X1,a405)
    | ~ c3_2(X1,X2)
    | c5_2(X1,X2)
    | c2_2(X1,X2)
    | ssSkC4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_102])]),
    [final] ).

cnf(c_0_292,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ ndr1_1(X1)
    | ~ c3_2(X1,X2)
    | ~ c1_2(X1,a405)
    | c5_2(X1,X2)
    | c2_2(X1,X2)
    | ssSkC4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_102])]),
    [final] ).

cnf(c_0_293,negated_conjecture,
    ( ~ ssSkC1
    | ~ c3_1(a391)
    | ~ ndr1_1(X1)
    | ~ c3_2(X1,X2)
    | c5_1(X1)
    | c3_1(X1)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_102])]),
    [final] ).

cnf(c_0_294,negated_conjecture,
    ( ~ c5_0
    | ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c3_2(a403,a404) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_102])]),
    [final] ).

cnf(c_0_295,negated_conjecture,
    ( ~ c5_0
    | ~ c3_1(X1)
    | ~ c4_2(a403,a404)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_102])]),
    [final] ).

cnf(c_0_296,negated_conjecture,
    ( ~ c5_0
    | ~ ndr1_1(X1)
    | c3_1(X1)
    | c2_2(X1,X2)
    | c3_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_102])]),c_0_228]),
    [final] ).

cnf(c_0_297,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ ssSkC4
    | c2_2(X1,a406)
    | c3_2(X1,X2)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_102])]),
    [final] ).

cnf(c_0_298,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ ssSkC4
    | c3_2(X1,X2)
    | c3_2(X1,a406)
    | c1_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_102])]),
    [final] ).

cnf(c_0_299,negated_conjecture,
    ( ~ ndr1_1(X1)
    | ~ ssSkC4
    | c3_2(X1,X2)
    | c1_2(X1,X2)
    | c4_2(X1,a406) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_102])]),
    [final] ).

cnf(c_0_300,negated_conjecture,
    ( c4_0
    | ssSkC2
    | c3_0
    | c3_2(a392,a398) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_232]),c_0_233]),
    [final] ).

cnf(c_0_301,negated_conjecture,
    ( c2_1(X1)
    | c2_2(X1,a388)
    | c3_2(X1,a387)
    | ssSkC0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_99]),
    [final] ).

cnf(c_0_302,negated_conjecture,
    ( c2_1(X1)
    | c2_2(X1,a388)
    | c2_2(X1,a387)
    | ssSkC0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_97]),
    [final] ).

cnf(c_0_303,negated_conjecture,
    ( c2_1(X1)
    | c5_2(X1,a387)
    | c2_2(X1,a388)
    | ssSkC0 ),
    inference(spm,[status(thm)],[c_0_234,c_0_95]),
    [final] ).

cnf(c_0_304,negated_conjecture,
    ( ~ ssSkC0
    | ssSkC2
    | c1_2(a392,a389) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_233]),
    [final] ).

cnf(c_0_305,negated_conjecture,
    ( ~ c5_0
    | ~ c3_1(X1)
    | c2_1(X1)
    | c2_1(a403)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_102])]),
    [final] ).

cnf(c_0_306,negated_conjecture,
    ( ~ c5_0
    | ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(a403) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_102])]),
    [final] ).

cnf(c_0_307,negated_conjecture,
    ( ~ c5_0
    | ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ndr1_1(a403) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_102])]),
    [final] ).

cnf(c_0_308,negated_conjecture,
    ( ssSkC2
    | ndr1_1(a392)
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_236]),c_0_233]),
    [final] ).

cnf(c_0_309,negated_conjecture,
    ( ~ c5_0
    | ndr1_1(a399)
    | c3_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_111,c_0_241]),
    [final] ).

cnf(c_0_310,negated_conjecture,
    ( ~ epred4_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_112]),c_0_182]),c_0_181]),
    [final] ).

cnf(c_0_311,negated_conjecture,
    ( c4_0
    | ssSkC2
    | ndr1_1(a392)
    | c3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_232]),c_0_233]),
    [final] ).

cnf(c_0_312,negated_conjecture,
    ( c4_0
    | c1_0
    | c2_2(X1,a410)
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_102])]),
    [final] ).

cnf(c_0_313,negated_conjecture,
    ( c4_0
    | c1_0
    | c4_1(X1)
    | c1_2(X1,a410) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_102])]),
    [final] ).

cnf(c_0_314,negated_conjecture,
    ( ~ c4_2(X1,a410)
    | c4_0
    | c1_0
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_102])]),
    [final] ).

cnf(c_0_315,negated_conjecture,
    ( ~ c4_0
    | c2_1(X1)
    | c5_1(X1)
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_102])]),
    [final] ).

cnf(c_0_316,negated_conjecture,
    ( ssSkC3
    | ssSkP0(a400) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_99]),c_0_96]),
    [final] ).

cnf(c_0_317,negated_conjecture,
    ( c4_0
    | ndr1_1(X1)
    | c1_0
    | c4_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_102])]),
    [final] ).

cnf(c_0_318,negated_conjecture,
    ( ~ epred2_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_250,c_0_218]),c_0_88]),
    [final] ).

cnf(c_0_319,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_251,c_0_219]),c_0_88]),
    [final] ).

cnf(c_0_320,negated_conjecture,
    ( ~ ndr1_1(a390)
    | ssSkC1
    | c5_2(a390,X1)
    | c1_2(a390,X1) ),
    c_0_252,
    [final] ).

cnf(c_0_321,negated_conjecture,
    ( ~ c2_0
    | ~ c3_1(X1)
    | c5_1(X1)
    | c4_1(X1) ),
    inference(csr,[status(thm)],[c_0_253,c_0_91]),
    [final] ).

cnf(c_0_322,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0
    | ~ c4_2(a396,a397) ),
    c_0_254,
    [final] ).

cnf(c_0_323,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0
    | ~ c5_2(a396,a397) ),
    c_0_255,
    [final] ).

cnf(c_0_324,negated_conjecture,
    ( ~ c2_0
    | ~ c1_2(a401,a402)
    | ~ ssSkC3 ),
    c_0_256,
    [final] ).

cnf(c_0_325,negated_conjecture,
    ( ~ c1_2(a393,a395)
    | ~ ssSkC2
    | c5_0 ),
    c_0_257,
    [final] ).

cnf(c_0_326,negated_conjecture,
    ( ~ c2_0
    | ~ ssSkC3
    | c2_2(a401,a402) ),
    c_0_258,
    [final] ).

cnf(c_0_327,negated_conjecture,
    ( ~ ssSkC2
    | c5_0
    | c2_2(a393,a395) ),
    c_0_259,
    [final] ).

cnf(c_0_328,negated_conjecture,
    ( ~ ssSkC2
    | c5_0
    | c5_2(a393,a394) ),
    c_0_260,
    [final] ).

cnf(c_0_329,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0
    | c4_1(a396) ),
    c_0_261,
    [final] ).

cnf(c_0_330,negated_conjecture,
    ( ~ c2_0
    | ~ ssSkC3
    | c4_1(a401) ),
    c_0_262,
    [final] ).

cnf(c_0_331,negated_conjecture,
    ( ~ c2_0
    | ~ ssSkC3
    | ndr1_1(a401) ),
    c_0_263,
    [final] ).

cnf(c_0_332,negated_conjecture,
    ( ~ ssSkC2
    | c5_0
    | c3_1(a393) ),
    c_0_264,
    [final] ).

cnf(c_0_333,negated_conjecture,
    ( ~ c1_1(a390)
    | ssSkC1 ),
    c_0_265,
    [final] ).

cnf(c_0_334,negated_conjecture,
    ( ~ c1_1(a400)
    | ssSkC3 ),
    c_0_266,
    [final] ).

cnf(c_0_335,negated_conjecture,
    ( ssSkC3
    | c2_1(a400) ),
    clause7,
    [final] ).

cnf(c_0_336,negated_conjecture,
    ( ~ c2_0
    | c4_0 ),
    inference(csr,[status(thm)],[c_0_267,c_0_153]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN531-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.67  % Computer : n019.cluster.edu
% 0.17/0.67  % Model    : x86_64 x86_64
% 0.17/0.67  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.67  % Memory   : 8046.5625MB
% 0.17/0.67  % OS       : Linux 6.8.0-71-generic
% 0.17/0.67  % CPULimit : 300
% 0.17/0.67  % WCLimit  : 300
% 0.17/0.67  % DateTime : Mon Sep 21 11:06:35 UTC 2026
% 0.17/0.67  % CPUTime  : 
% 0.17/0.67  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.74  Running first-order theorem proving
% 0.23/0.75  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
% 0.23/0.83  % Version: 3.5.1
% 0.23/0.83  % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.23/0.83  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.83  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.23/0.83  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.83  % Starting new_bool_1 with 300s (1) cores
% 0.23/0.83  % Starting sh5l with 300s (1) cores
% 0.23/0.83  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2409719 completed with status 1
% 0.23/0.83  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.23/0.83  % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.23/0.83  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.83  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.23/0.83  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.83  % No SInE strategy applied
% 0.23/0.83  % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.23/0.83  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.83  % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.83  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.23/0.83  % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 0.23/0.83  % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.23/0.83  % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.23/0.83  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2409724 completed with status 1
% 0.23/0.83  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.23/0.83  % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.23/0.83  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.83  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.23/0.83  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.83  % No SInE strategy applied
% 0.23/0.83  % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.23/0.83  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.83  % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.83  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.23/0.83  % Preprocessing time       : 0.003 s
% 0.23/0.83  
% 0.23/0.83  % No proof found!
% 0.23/0.83  % SZS status Satisfiable
% 0.23/0.83  % SZS output start Saturation
% See solution above
% 0.23/0.83  % Parsed axioms                        : 82
% 0.23/0.83  % Removed by relevancy pruning/SinE    : 0
% 0.23/0.83  % Initial clauses                      : 82
% 0.23/0.83  % Removed in clause preprocessing      : 0
% 0.23/0.83  % Initial clauses in saturation        : 82
% 0.23/0.83  % Processed clauses                    : 203
% 0.23/0.83  % ...of these trivial                  : 0
% 0.23/0.83  % ...subsumed                          : 25
% 0.23/0.83  % ...remaining for further processing  : 178
% 0.23/0.83  % Other redundant clauses eliminated   : 0
% 0.23/0.83  % Clauses deleted for lack of memory   : 0
% 0.23/0.83  % Backward-subsumed                    : 9
% 0.23/0.83  % Backward-rewritten                   : 39
% 0.23/0.83  % Generated clauses                    : 104
% 0.23/0.83  % ...of the previous two non-redundant : 134
% 0.23/0.83  % ...aggressively subsumed             : 0
% 0.23/0.83  % Contextual simplify-reflections      : 41
% 0.23/0.83  % Paramodulations                      : 87
% 0.23/0.83  % Factorizations                       : 0
% 0.23/0.83  % NegExts                              : 0
% 0.23/0.83  % Equation resolutions                 : 0
% 0.23/0.83  % Disequality decompositions           : 0
% 0.23/0.83  % Total rewrite steps                  : 41
% 0.23/0.83  % ...of those cached                   : 40
% 0.23/0.83  % Propositional unsat checks           : 0
% 0.23/0.83  %    Propositional check models        : 0
% 0.23/0.83  %    Propositional check unsatisfiable : 0
% 0.23/0.83  %    Propositional clauses             : 0
% 0.23/0.83  %    Propositional clauses after purity: 0
% 0.23/0.83  %    Propositional unsat core size     : 0
% 0.23/0.83  %    Propositional preprocessing time  : 0.000
% 0.23/0.83  %    Propositional encoding time       : 0.000
% 0.23/0.83  %    Propositional solver time         : 0.000
% 0.23/0.83  %    Success case prop preproc time    : 0.000
% 0.23/0.83  %    Success case prop encoding time   : 0.000
% 0.23/0.83  %    Success case prop solver time     : 0.000
% 0.23/0.83  % Current number of processed clauses  : 123
% 0.23/0.83  %    Positive orientable unit clauses  : 1
% 0.23/0.83  %    Positive unorientable unit clauses: 0
% 0.23/0.83  %    Negative unit clauses             : 0
% 0.23/0.83  %    Non-unit-clauses                  : 122
% 0.23/0.83  % Current number of unprocessed clauses: 0
% 0.23/0.83  % ...number of literals in the above   : 0
% 0.23/0.83  % Current number of archived formulas  : 0
% 0.23/0.83  % Current number of archived clauses   : 48
% 0.23/0.83  % Clause-clause subsumption calls (NU) : 13810
% 0.23/0.83  % Rec. Clause-clause subsumption calls : 1027
% 0.23/0.83  % Non-unit clause-clause subsumptions  : 83
% 0.23/0.83  % Unit Clause-clause subsumption calls : 35
% 0.23/0.83  % Rewrite failures with RHS unbound    : 0
% 0.23/0.83  % BW rewrite match attempts            : 1
% 0.23/0.83  % BW rewrite match successes           : 1
% 0.23/0.83  % Condensation attempts                : 203
% 0.23/0.83  % Condensation successes               : 0
% 0.23/0.83  % Termbank termtop insertions          : 7809
% 0.23/0.83  % Search garbage collected termcells   : 250
% 0.23/0.83  
% 0.23/0.83  % -------------------------------------------------
% 0.23/0.83  % User time                : 0.040 s
% 0.23/0.83  % System time              : 0.009 s
% 0.23/0.83  % Total time               : 0.049 s
% 0.23/0.83  % Maximum resident set size: 3708 pages
% 0.23/0.83  
% 0.23/0.83  % -------------------------------------------------
% 0.23/0.83  % User time                : 0.092 s
% 0.23/0.83  % System time              : 0.023 s
% 0.23/0.83  % Total time               : 0.115 s
% 0.23/0.83  % Maximum resident set size: 4608 pages
% 0.23/0.83  % E exiting
%------------------------------------------------------------------------------