TSTP Solution File: SYN430-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN430-1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 21 07:45:20 EDT 2024

% Result   : Satisfiable 0.19s 0.55s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_109)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_99,negated_conjecture,
    ( hskp8
    | hskp20
    | hskp9 ),
    clause27,
    [final] ).

cnf(c_0_114,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( ~ c0_1(a123)
    | ~ hskp11 ),
    c_0_105,
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( epred11_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_106]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( ~ c1_1(a123)
    | ~ hskp11 ),
    c_0_107,
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_108]),
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( epred9_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_109]),
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( c3_1(a128)
    | ~ hskp14 ),
    c_0_110,
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( ~ c0_1(a128)
    | ~ hskp14 ),
    c_0_111,
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( ~ c2_1(a128)
    | ~ hskp14 ),
    c_0_112,
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( c3_1(X1)
    | hskp14
    | hskp22
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    ( c2_1(a119)
    | ~ hskp20 ),
    c_0_115,
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( c1_1(a119)
    | ~ hskp20 ),
    c_0_116,
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( epred7_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_114])]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_118]),c_0_114])]),
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_119]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( epred12_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_121]),
    [final] ).

cnf(c_0_179,negated_conjecture,
    ( c0_1(a126)
    | ~ hskp12 ),
    c_0_122,
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( c1_1(a126)
    | ~ hskp12 ),
    c_0_123,
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp23
    | hskp24
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_114])]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ c3_1(a126)
    | ~ hskp12 ),
    c_0_125,
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( c1_1(a129)
    | ~ hskp22 ),
    c_0_126,
    [final] ).

cnf(c_0_184,negated_conjecture,
    ( ~ c3_1(a129)
    | ~ hskp22 ),
    c_0_127,
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( c1_1(a116)
    | ~ hskp18 ),
    c_0_128,
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( ~ c3_1(a116)
    | ~ hskp18 ),
    c_0_129,
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( epred2_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_130]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( c3_1(a121)
    | ~ hskp21 ),
    c_0_131,
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( c1_1(a121)
    | ~ hskp21 ),
    c_0_132,
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( c0_1(X1)
    | hskp12
    | hskp13
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_114])]),
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( c2_1(a121)
    | ~ hskp21 ),
    c_0_134,
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( epred3_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp19
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_135]),c_0_114])]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp1
    | hskp2
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_114])]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( ~ c0_1(a119)
    | ~ hskp20 ),
    c_0_137,
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( c1_1(a115)
    | ~ hskp17 ),
    c_0_138,
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ c0_1(a115)
    | ~ hskp17 ),
    c_0_139,
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ c0_1(a107)
    | ~ hskp1 ),
    c_0_140,
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( ~ c1_1(a107)
    | ~ hskp1 ),
    c_0_141,
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( c1_1(a114)
    | ~ hskp7 ),
    c_0_142,
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ c0_1(a114)
    | ~ hskp7 ),
    c_0_143,
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( epred11_0
    | ~ c2_1(a123)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( epred8_0
    | c2_1(a123)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_147]),c_0_146]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( ~ c0_1(a112)
    | ~ hskp6 ),
    c_0_148,
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ c1_1(a112)
    | ~ hskp6 ),
    c_0_149,
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ c2_1(a112)
    | ~ hskp6 ),
    c_0_150,
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( epred9_0
    | ~ c1_1(a128)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( epred8_0
    | c1_1(a128)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_147]),c_0_154]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( c3_1(a119)
    | hskp14
    | hskp22
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_158]),
    [final] ).

cnf(c_0_218,negated_conjecture,
    ( epred1_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_159]),c_0_114])]),
    [final] ).

cnf(c_0_219,negated_conjecture,
    ( c2_1(a115)
    | ~ hskp17 ),
    c_0_160,
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( c2_1(a114)
    | ~ hskp7 ),
    c_0_161,
    [final] ).

cnf(c_0_226,negated_conjecture,
    ( c0_1(a116)
    | ~ hskp18 ),
    c_0_165,
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( epred10_0
    | epred7_0
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]),
    [final] ).

cnf(c_0_228,negated_conjecture,
    ( epred9_0
    | epred6_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_151,c_0_168]),
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( c3_1(a123)
    | ~ hskp11 ),
    c_0_169,
    [final] ).

cnf(c_0_234,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp5
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_114])]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( c0_1(a113)
    | ~ hskp16 ),
    c_0_171,
    [final] ).

cnf(c_0_236,negated_conjecture,
    ( ~ c3_1(a113)
    | ~ hskp16 ),
    c_0_172,
    [final] ).

cnf(c_0_237,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp16 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_114])]),
    [final] ).

cnf(c_0_238,negated_conjecture,
    ( ~ c3_1(a127)
    | ~ hskp13 ),
    c_0_174,
    [final] ).

cnf(c_0_239,negated_conjecture,
    ( ~ c1_1(a127)
    | ~ hskp13 ),
    c_0_175,
    [final] ).

cnf(c_0_241,negated_conjecture,
    ( ~ c3_1(a110)
    | ~ hskp4 ),
    c_0_176,
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ c1_1(a110)
    | ~ hskp4 ),
    c_0_177,
    [final] ).

cnf(c_0_244,negated_conjecture,
    ( epred12_0
    | ~ c2_1(a126)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),
    [final] ).

cnf(c_0_245,negated_conjecture,
    ( c2_1(a126)
    | hskp23
    | hskp24
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_246,negated_conjecture,
    ( c2_1(a129)
    | hskp23
    | hskp24
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_183]),c_0_184]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( ~ c0_1(a129)
    | ~ hskp22 ),
    c_0_185,
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( epred10_0
    | ~ c1_1(a128)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_167]),c_0_154]),
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( c2_1(a116)
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( epred2_0
    | ~ c0_1(a121)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]),
    [final] ).

cnf(c_0_251,negated_conjecture,
    ( c0_1(a121)
    | hskp12
    | hskp13
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_190]),
    [final] ).

cnf(c_0_252,negated_conjecture,
    ( epred3_0
    | c2_1(a126)
    | hskp19
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_253,negated_conjecture,
    ( epred3_0
    | c2_1(a129)
    | hskp19
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_183]),c_0_184]),
    [final] ).

cnf(c_0_254,negated_conjecture,
    ( ~ c3_1(a107)
    | ~ hskp1 ),
    c_0_194,
    [final] ).

cnf(c_0_255,negated_conjecture,
    ( c3_1(a119)
    | hskp1
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_157]),c_0_196]),
    [final] ).

cnf(c_0_256,negated_conjecture,
    ( c3_1(a115)
    | hskp1
    | hskp2
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_197]),c_0_198]),
    [final] ).

cnf(c_0_257,negated_conjecture,
    ( epred3_0
    | c2_1(a116)
    | hskp19
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_258,negated_conjecture,
    ( epred11_0
    | ~ c2_1(a107)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_145]),c_0_200]),
    [final] ).

cnf(c_0_259,negated_conjecture,
    ( epred8_0
    | c2_1(a107)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_147]),c_0_200]),
    [final] ).

cnf(c_0_260,negated_conjecture,
    ( c3_1(a114)
    | hskp1
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_201]),c_0_202]),
    [final] ).

cnf(c_0_261,negated_conjecture,
    ( epred11_0
    | epred8_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp6 ),
    clause28,
    [final] ).

cnf(c_0_263,negated_conjecture,
    ( epred8_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_147]),c_0_206]),c_0_207]),
    [final] ).

cnf(c_0_264,negated_conjecture,
    ( epred9_0
    | epred8_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( epred9_0
    | hskp14
    | hskp22
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_210]),c_0_157]),c_0_196]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ( ~ c0_1(a120)
    | ~ hskp9 ),
    c_0_211,
    [final] ).

cnf(c_0_267,negated_conjecture,
    ( ~ c1_1(a120)
    | ~ hskp9 ),
    c_0_212,
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( ~ c2_1(a120)
    | ~ hskp9 ),
    c_0_213,
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ c0_1(a118)
    | ~ hskp8 ),
    c_0_214,
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ c1_1(a118)
    | ~ hskp8 ),
    c_0_215,
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ c2_1(a118)
    | ~ hskp8 ),
    c_0_216,
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( epred4_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_152]),c_0_153]),c_0_154]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( epred1_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_152]),c_0_153]),c_0_154]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( c3_1(a115)
    | hskp14
    | hskp22
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_219]),c_0_197]),
    [final] ).

cnf(c_0_275,negated_conjecture,
    ( c3_1(a114)
    | hskp14
    | hskp22
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_220]),c_0_201]),
    [final] ).

cnf(c_0_276,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp10
    | hskp21
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_114])]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( c3_1(X1)
    | hskp0
    | hskp15
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_114])]),
    [final] ).

cnf(c_0_278,negated_conjecture,
    ( epred7_0
    | c2_1(a126)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_179]),c_0_180]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ( c3_1(X1)
    | hskp3
    | hskp4
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_114])]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ( c2_1(a122)
    | ~ hskp10 ),
    c_0_224,
    [final] ).

cnf(c_0_281,negated_conjecture,
    ( ~ c3_1(a122)
    | ~ hskp10 ),
    c_0_225,
    [final] ).

cnf(c_0_282,negated_conjecture,
    ( epred7_0
    | c2_1(a116)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_226]),c_0_186]),
    [final] ).

cnf(c_0_283,negated_conjecture,
    ( epred10_0
    | epred7_0
    | c3_1(X1)
    | hskp14
    | hskp22
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_227]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( epred10_0
    | epred7_0
    | c0_1(X1)
    | hskp12
    | hskp13
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_191,c_0_227]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ( epred9_0
    | epred6_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_228]),c_0_157]),c_0_156]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( epred6_0
    | ~ c2_1(a116)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_168]),c_0_186]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( epred9_0
    | epred6_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_228]),c_0_197]),c_0_219]),
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( hskp7
    | hskp17
    | hskp18 ),
    clause26,
    [final] ).

cnf(c_0_289,negated_conjecture,
    ( epred9_0
    | epred6_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_228]),c_0_201]),c_0_220]),
    [final] ).

cnf(c_0_292,negated_conjecture,
    ( ~ c1_1(a122)
    | ~ hskp10 ),
    c_0_229,
    [final] ).

cnf(c_0_293,negated_conjecture,
    ( epred6_0
    | ~ c2_1(a126)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_168]),c_0_180]),
    [final] ).

cnf(c_0_294,negated_conjecture,
    ( ~ c0_1(a106)
    | ~ hskp15 ),
    c_0_230,
    [final] ).

cnf(c_0_295,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp15 ),
    c_0_231,
    [final] ).

cnf(c_0_296,negated_conjecture,
    ( c3_1(a106)
    | ~ hskp15 ),
    c_0_232,
    [final] ).

cnf(c_0_308,negated_conjecture,
    ( epred1_0
    | c2_1(a123)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_233]),c_0_144]),
    [final] ).

cnf(c_0_312,negated_conjecture,
    ( epred4_0
    | c2_1(a123)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_233]),c_0_144]),
    [final] ).

cnf(c_0_318,negated_conjecture,
    ( epred5_0
    | c2_1(a116)
    | hskp5
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_226]),c_0_187]),
    [final] ).

cnf(c_0_319,negated_conjecture,
    ( epred5_0
    | c2_1(a113)
    | hskp5
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]),
    [final] ).

cnf(c_0_320,negated_conjecture,
    ( epred5_0
    | c2_1(a126)
    | hskp5
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_179]),c_0_182]),
    [final] ).

cnf(c_0_321,negated_conjecture,
    ( epred4_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_217,c_0_237]),
    [final] ).

cnf(c_0_322,negated_conjecture,
    ( epred1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_218,c_0_237]),
    [final] ).

cnf(c_0_323,negated_conjecture,
    ( c0_1(a127)
    | hskp6
    | hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_237]),c_0_239]),
    [final] ).

cnf(c_0_324,negated_conjecture,
    ( ~ c2_1(a127)
    | ~ hskp13 ),
    c_0_240,
    [final] ).

cnf(c_0_325,negated_conjecture,
    ( c0_1(a110)
    | hskp6
    | hskp16
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_237]),c_0_242]),
    [final] ).

cnf(c_0_326,negated_conjecture,
    ( ~ c2_1(a110)
    | ~ hskp4 ),
    c_0_243,
    [final] ).

cnf(c_0_327,negated_conjecture,
    ( epred12_0
    | hskp23
    | hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]),
    [final] ).

cnf(c_0_328,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_246]),c_0_183]),c_0_247]),
    [final] ).

cnf(c_0_329,negated_conjecture,
    ( epred10_0
    | epred8_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_248,c_0_209]),
    [final] ).

cnf(c_0_330,negated_conjecture,
    ( hskp14
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_249]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_331,negated_conjecture,
    ( hskp14
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_245]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_332,negated_conjecture,
    ( epred2_0
    | hskp12
    | hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]),
    [final] ).

cnf(c_0_333,negated_conjecture,
    ( hskp12
    | hskp13
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_156]),c_0_157]),c_0_196]),
    [final] ).

cnf(c_0_334,negated_conjecture,
    ( hskp12
    | hskp13
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_219]),c_0_197]),c_0_198]),
    [final] ).

cnf(c_0_335,negated_conjecture,
    ( hskp12
    | hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_220]),c_0_201]),c_0_202]),
    [final] ).

cnf(c_0_336,negated_conjecture,
    ( epred8_0
    | epred5_0
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_234,c_0_147]),
    [final] ).

cnf(c_0_337,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_244,c_0_252]),
    [final] ).

cnf(c_0_338,negated_conjecture,
    ( epred3_0
    | hskp12
    | hskp13
    | hskp19
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_253]),c_0_183]),c_0_247]),
    [final] ).

cnf(c_0_339,negated_conjecture,
    ( hskp6
    | hskp16
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_237]),c_0_199]),c_0_200]),
    [final] ).

cnf(c_0_340,negated_conjecture,
    ( epred9_0
    | hskp1
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_255]),c_0_157]),c_0_196]),
    [final] ).

cnf(c_0_341,negated_conjecture,
    ( epred9_0
    | hskp1
    | hskp2
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_256]),c_0_197]),c_0_198]),
    [final] ).

cnf(c_0_342,negated_conjecture,
    ( epred3_0
    | hskp14
    | hskp19
    | hskp22
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_257]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_343,negated_conjecture,
    ( epred11_0
    | epred8_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_258,c_0_259]),
    [final] ).

cnf(c_0_344,negated_conjecture,
    ( epred9_0
    | hskp1
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_260]),c_0_201]),c_0_202]),
    [final] ).

cnf(c_0_345,negated_conjecture,
    ( epred11_0
    | epred8_0
    | hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),
    [final] ).

cnf(c_0_347,negated_conjecture,
    ( epred8_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_147]),c_0_267]),c_0_268]),
    [final] ).

cnf(c_0_348,negated_conjecture,
    ( epred8_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_147]),c_0_270]),c_0_271]),
    [final] ).

cnf(c_0_349,negated_conjecture,
    ( epred9_0
    | epred4_0
    | hskp22
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_272,c_0_265]),
    [final] ).

cnf(c_0_350,negated_conjecture,
    ( epred9_0
    | epred1_0
    | hskp22
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_273,c_0_265]),
    [final] ).

cnf(c_0_351,negated_conjecture,
    ( epred9_0
    | hskp14
    | hskp22
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_274]),c_0_197]),c_0_198]),
    [final] ).

cnf(c_0_352,negated_conjecture,
    ( epred9_0
    | hskp14
    | hskp22
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_275]),c_0_201]),c_0_202]),
    [final] ).

cnf(c_0_353,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp10
    | hskp16
    | hskp21 ),
    inference(spm,[status(thm)],[c_0_276,c_0_237]),
    [final] ).

cnf(c_0_354,negated_conjecture,
    ( c3_1(a119)
    | hskp0
    | hskp15
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_156]),c_0_157]),
    [final] ).

cnf(c_0_355,negated_conjecture,
    ( epred3_0
    | hskp14
    | hskp19
    | hskp22
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_252]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_356,negated_conjecture,
    ( c3_1(a115)
    | hskp0
    | hskp15
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_219]),c_0_197]),
    [final] ).

cnf(c_0_357,negated_conjecture,
    ( c3_1(a114)
    | hskp0
    | hskp15
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_220]),c_0_201]),
    [final] ).

cnf(c_0_358,negated_conjecture,
    ( epred12_0
    | hskp12
    | hskp13
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_251]),c_0_190]),c_0_192]),
    [final] ).

cnf(c_0_359,negated_conjecture,
    ( epred12_0
    | epred7_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_244,c_0_278]),
    [final] ).

cnf(c_0_360,negated_conjecture,
    ( hskp3
    | hskp4
    | ~ c0_1(a122)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_281]),
    [final] ).

cnf(c_0_361,negated_conjecture,
    ( epred10_0
    | c2_1(a129)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_167]),c_0_183]),
    [final] ).

cnf(c_0_362,negated_conjecture,
    ( epred7_0
    | hskp14
    | hskp22
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_282]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_363,negated_conjecture,
    ( epred7_0
    | hskp14
    | hskp22
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_278]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_366,negated_conjecture,
    ( epred9_0
    | epred6_0
    | hskp8
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_285,c_0_99]),
    [final] ).

cnf(c_0_367,negated_conjecture,
    ( epred7_0
    | epred6_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_286,c_0_282]),
    [final] ).

cnf(c_0_368,negated_conjecture,
    ( epred9_0
    | epred6_0
    | hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]),
    [final] ).

cnf(c_0_369,negated_conjecture,
    ( epred9_0
    | c0_1(a121)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_189]),c_0_190]),
    [final] ).

cnf(c_0_370,negated_conjecture,
    ( c0_1(a117)
    | ~ hskp19 ),
    c_0_290,
    [final] ).

cnf(c_0_371,negated_conjecture,
    ( ~ c2_1(a117)
    | ~ hskp19 ),
    c_0_291,
    [final] ).

cnf(c_0_372,negated_conjecture,
    ( epred12_0
    | ~ c2_1(a116)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_226]),c_0_186]),
    [final] ).

cnf(c_0_373,negated_conjecture,
    ( c0_1(a122)
    | hskp6
    | hskp16
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_237]),c_0_292]),
    [final] ).

cnf(c_0_374,negated_conjecture,
    ( hskp1
    | hskp2
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_183]),c_0_247]),c_0_184]),
    [final] ).

cnf(c_0_375,negated_conjecture,
    ( epred6_0
    | ~ c2_1(a129)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_168]),c_0_183]),
    [final] ).

cnf(c_0_376,negated_conjecture,
    ( epred6_0
    | hskp23
    | hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_293,c_0_245]),
    [final] ).

cnf(c_0_377,negated_conjecture,
    ( epred10_0
    | ~ c1_1(a106)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_167]),c_0_295]),
    [final] ).

cnf(c_0_378,negated_conjecture,
    ( c1_1(a106)
    | hskp10
    | hskp21
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_296]),c_0_294]),
    [final] ).

cnf(c_0_379,negated_conjecture,
    ( epred9_0
    | ~ c1_1(a106)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_296]),c_0_294]),
    [final] ).

cnf(c_0_380,negated_conjecture,
    ( c3_1(a130)
    | ~ hskp23 ),
    c_0_297,
    [final] ).

cnf(c_0_381,negated_conjecture,
    ( ~ c1_1(a130)
    | ~ hskp23 ),
    c_0_298,
    [final] ).

cnf(c_0_382,negated_conjecture,
    ( c1_1(a128)
    | hskp10
    | hskp21
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_152]),c_0_153]),
    [final] ).

cnf(c_0_383,negated_conjecture,
    ( c3_1(a109)
    | ~ hskp3 ),
    c_0_299,
    [final] ).

cnf(c_0_384,negated_conjecture,
    ( ~ c1_1(a109)
    | ~ hskp3 ),
    c_0_300,
    [final] ).

cnf(c_0_385,negated_conjecture,
    ( c3_1(a108)
    | ~ hskp2 ),
    c_0_301,
    [final] ).

cnf(c_0_386,negated_conjecture,
    ( ~ c1_1(a108)
    | ~ hskp2 ),
    c_0_302,
    [final] ).

cnf(c_0_387,negated_conjecture,
    ( c3_1(a105)
    | ~ hskp0 ),
    c_0_303,
    [final] ).

cnf(c_0_388,negated_conjecture,
    ( ~ c1_1(a105)
    | ~ hskp0 ),
    c_0_304,
    [final] ).

cnf(c_0_389,negated_conjecture,
    ( epred6_0
    | epred3_0
    | hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_293,c_0_252]),
    [final] ).

cnf(c_0_390,negated_conjecture,
    ( epred7_0
    | epred6_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_293,c_0_278]),
    [final] ).

cnf(c_0_391,negated_conjecture,
    ( c2_1(a111)
    | ~ hskp5 ),
    c_0_305,
    [final] ).

cnf(c_0_392,negated_conjecture,
    ( c0_1(a111)
    | ~ hskp5 ),
    c_0_306,
    [final] ).

cnf(c_0_393,negated_conjecture,
    ( epred8_0
    | c1_1(a106)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_147]),c_0_295]),
    [final] ).

cnf(c_0_394,negated_conjecture,
    ( ~ c2_1(a130)
    | ~ hskp23 ),
    c_0_307,
    [final] ).

cnf(c_0_395,negated_conjecture,
    ( epred11_0
    | epred1_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_203,c_0_308]),
    [final] ).

cnf(c_0_396,negated_conjecture,
    ( ~ c2_1(a109)
    | ~ hskp3 ),
    c_0_309,
    [final] ).

cnf(c_0_397,negated_conjecture,
    ( ~ c2_1(a108)
    | ~ hskp2 ),
    c_0_310,
    [final] ).

cnf(c_0_398,negated_conjecture,
    ( ~ c2_1(a105)
    | ~ hskp0 ),
    c_0_311,
    [final] ).

cnf(c_0_399,negated_conjecture,
    ( epred11_0
    | epred4_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_203,c_0_312]),
    [final] ).

cnf(c_0_400,negated_conjecture,
    ( epred6_0
    | epred2_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_168]),
    [final] ).

cnf(c_0_412,negated_conjecture,
    ( epred5_0
    | hskp5
    | hskp14
    | hskp22
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_318]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_413,negated_conjecture,
    ( epred5_0
    | hskp0
    | hskp5
    | hskp15
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_318]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_414,negated_conjecture,
    ( epred5_0
    | hskp3
    | hskp4
    | hskp5
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_318]),c_0_226]),c_0_187]),
    [final] ).

cnf(c_0_415,negated_conjecture,
    ( epred5_0
    | hskp3
    | hskp4
    | hskp5
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_319]),c_0_235]),c_0_236]),
    [final] ).

cnf(c_0_416,negated_conjecture,
    ( epred5_0
    | hskp5
    | hskp14
    | hskp22
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_320]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_417,negated_conjecture,
    ( epred5_0
    | hskp0
    | hskp5
    | hskp15
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_320]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_418,negated_conjecture,
    ( epred5_0
    | hskp3
    | hskp4
    | hskp5
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_320]),c_0_179]),c_0_182]),
    [final] ).

cnf(c_0_419,negated_conjecture,
    ( epred5_0
    | epred4_0
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp6
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_234,c_0_321]),
    [final] ).

cnf(c_0_420,negated_conjecture,
    ( epred5_0
    | epred1_0
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp6
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_234,c_0_322]),
    [final] ).

cnf(c_0_421,negated_conjecture,
    ( epred5_0
    | hskp5
    | hskp6
    | hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_323]),c_0_238]),c_0_324]),
    [final] ).

cnf(c_0_422,negated_conjecture,
    ( epred5_0
    | hskp5
    | hskp6
    | hskp16
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_325]),c_0_241]),c_0_326]),
    [final] ).

cnf(c_0_423,negated_conjecture,
    ( hskp0
    | hskp15
    | hskp23
    | hskp24
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_246]),c_0_183]),c_0_184]),
    [final] ).

cnf(c_0_424,negated_conjecture,
    ( epred12_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]),
    [final] ).

cnf(c_0_425,negated_conjecture,
    ( epred10_0
    | epred8_0
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]),
    [final] ).

cnf(c_0_426,negated_conjecture,
    ( epred4_0
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_272,c_0_330]),
    [final] ).

cnf(c_0_427,negated_conjecture,
    ( epred1_0
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_273,c_0_330]),
    [final] ).

cnf(c_0_428,negated_conjecture,
    ( hskp0
    | hskp15
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_249]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_429,negated_conjecture,
    ( hskp3
    | hskp4
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_249]),c_0_226]),c_0_187]),
    [final] ).

cnf(c_0_430,negated_conjecture,
    ( epred2_0
    | hskp13
    | hskp14
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]),
    [final] ).

cnf(c_0_431,negated_conjecture,
    ( hskp13
    | hskp14
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_331,c_0_333]),
    [final] ).

cnf(c_0_432,negated_conjecture,
    ( hskp13
    | hskp14
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_331,c_0_334]),
    [final] ).

cnf(c_0_433,negated_conjecture,
    ( hskp13
    | hskp14
    | hskp22
    | hskp23
    | hskp24
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_331,c_0_335]),
    [final] ).

cnf(c_0_434,negated_conjecture,
    ( hskp0
    | hskp15
    | hskp23
    | hskp24
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_245]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_435,negated_conjecture,
    ( hskp3
    | hskp4
    | hskp23
    | hskp24
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_245]),c_0_179]),c_0_182]),
    [final] ).

cnf(c_0_436,negated_conjecture,
    ( epred8_0
    | epred5_0
    | hskp5
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_336]),c_0_239]),c_0_324]),
    [final] ).

cnf(c_0_437,negated_conjecture,
    ( epred8_0
    | epred5_0
    | hskp5
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_336]),c_0_242]),c_0_326]),
    [final] ).

cnf(c_0_438,negated_conjecture,
    ( epred4_0
    | hskp6
    | hskp16
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_321]),c_0_267]),c_0_268]),
    [final] ).

cnf(c_0_439,negated_conjecture,
    ( epred4_0
    | hskp6
    | hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_321]),c_0_270]),c_0_271]),
    [final] ).

cnf(c_0_440,negated_conjecture,
    ( epred1_0
    | hskp6
    | hskp16
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_322]),c_0_267]),c_0_268]),
    [final] ).

cnf(c_0_441,negated_conjecture,
    ( epred1_0
    | hskp6
    | hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_322]),c_0_270]),c_0_271]),
    [final] ).

cnf(c_0_442,negated_conjecture,
    ( epred3_0
    | hskp0
    | hskp15
    | hskp19
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_253]),c_0_183]),c_0_184]),
    [final] ).

cnf(c_0_443,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]),
    [final] ).

cnf(c_0_444,negated_conjecture,
    ( epred9_0
    | hskp2
    | hskp6
    | hskp16
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]),
    [final] ).

cnf(c_0_445,negated_conjecture,
    ( epred9_0
    | hskp2
    | hskp6
    | hskp16
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_339,c_0_341]),
    [final] ).

cnf(c_0_446,negated_conjecture,
    ( epred10_0
    | epred8_0
    | epred3_0
    | hskp19
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_329,c_0_342]),
    [final] ).

cnf(c_0_447,negated_conjecture,
    ( epred4_0
    | epred3_0
    | hskp19
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_272,c_0_342]),
    [final] ).

cnf(c_0_448,negated_conjecture,
    ( epred3_0
    | epred1_0
    | hskp19
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_273,c_0_342]),
    [final] ).

cnf(c_0_449,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345]),
    [final] ).

cnf(c_0_450,negated_conjecture,
    ( epred9_0
    | hskp2
    | hskp6
    | hskp16
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_339,c_0_344]),
    [final] ).

cnf(c_0_451,negated_conjecture,
    ( epred3_0
    | hskp0
    | hskp15
    | hskp19
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_257]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_452,negated_conjecture,
    ( epred9_0
    | epred8_0
    | hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_99]),c_0_347]),c_0_348]),
    [final] ).

cnf(c_0_453,negated_conjecture,
    ( epred9_0
    | epred4_0
    | hskp8
    | hskp9
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_349,c_0_99]),
    [final] ).

cnf(c_0_454,negated_conjecture,
    ( epred9_0
    | epred1_0
    | hskp8
    | hskp9
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_350,c_0_99]),
    [final] ).

cnf(c_0_455,negated_conjecture,
    ( epred9_0
    | epred4_0
    | hskp22
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_272,c_0_351]),
    [final] ).

cnf(c_0_456,negated_conjecture,
    ( epred9_0
    | epred1_0
    | hskp22
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_273,c_0_351]),
    [final] ).

cnf(c_0_457,negated_conjecture,
    ( epred3_0
    | hskp3
    | hskp4
    | hskp19
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_257]),c_0_226]),c_0_187]),
    [final] ).

cnf(c_0_458,negated_conjecture,
    ( epred9_0
    | epred4_0
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_272,c_0_352]),
    [final] ).

cnf(c_0_459,negated_conjecture,
    ( epred9_0
    | epred1_0
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_273,c_0_352]),
    [final] ).

cnf(c_0_460,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp6
    | hskp10
    | hskp16
    | hskp21 ),
    inference(spm,[status(thm)],[c_0_234,c_0_353]),
    [final] ).

cnf(c_0_461,negated_conjecture,
    ( epred9_0
    | hskp0
    | hskp15
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_354]),c_0_157]),c_0_196]),
    [final] ).

cnf(c_0_462,negated_conjecture,
    ( epred3_0
    | epred2_0
    | hskp13
    | hskp14
    | hskp19
    | hskp22
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_355,c_0_332]),
    [final] ).

cnf(c_0_463,negated_conjecture,
    ( epred3_0
    | hskp13
    | hskp14
    | hskp19
    | hskp22
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_355,c_0_333]),
    [final] ).

cnf(c_0_464,negated_conjecture,
    ( epred3_0
    | hskp13
    | hskp14
    | hskp19
    | hskp22
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_355,c_0_334]),
    [final] ).

cnf(c_0_465,negated_conjecture,
    ( epred3_0
    | hskp13
    | hskp14
    | hskp19
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_355,c_0_335]),
    [final] ).

cnf(c_0_466,negated_conjecture,
    ( epred9_0
    | hskp0
    | hskp15
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_356]),c_0_197]),c_0_198]),
    [final] ).

cnf(c_0_467,negated_conjecture,
    ( epred9_0
    | hskp0
    | hskp15
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_357]),c_0_201]),c_0_202]),
    [final] ).

cnf(c_0_468,negated_conjecture,
    ( epred12_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_327,c_0_358]),
    [final] ).

cnf(c_0_469,negated_conjecture,
    ( epred3_0
    | hskp0
    | hskp15
    | hskp19
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_252]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_470,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_337,c_0_358]),
    [final] ).

cnf(c_0_471,negated_conjecture,
    ( epred12_0
    | epred7_0
    | hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_359,c_0_358]),
    [final] ).

cnf(c_0_472,negated_conjecture,
    ( epred11_0
    | hskp3
    | hskp4
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_145]),c_0_280]),c_0_292]),
    [final] ).

cnf(c_0_473,negated_conjecture,
    ( epred3_0
    | hskp3
    | hskp4
    | hskp19
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_252]),c_0_179]),c_0_182]),
    [final] ).

cnf(c_0_474,negated_conjecture,
    ( epred10_0
    | hskp0
    | hskp15
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_361]),c_0_183]),c_0_184]),
    [final] ).

cnf(c_0_475,negated_conjecture,
    ( epred10_0
    | hskp12
    | hskp13
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_361]),c_0_183]),c_0_247]),
    [final] ).

cnf(c_0_476,negated_conjecture,
    ( epred7_0
    | epred4_0
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_272,c_0_362]),
    [final] ).

cnf(c_0_477,negated_conjecture,
    ( epred7_0
    | epred1_0
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_273,c_0_362]),
    [final] ).

cnf(c_0_478,negated_conjecture,
    ( epred7_0
    | hskp0
    | hskp15
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_282]),c_0_186]),c_0_187]),
    [final] ).

cnf(c_0_479,negated_conjecture,
    ( epred7_0
    | hskp3
    | hskp4
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_282]),c_0_226]),c_0_187]),
    [final] ).

cnf(c_0_480,negated_conjecture,
    ( epred7_0
    | epred2_0
    | hskp13
    | hskp14
    | hskp22
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_363,c_0_332]),
    [final] ).

cnf(c_0_481,negated_conjecture,
    ( epred7_0
    | hskp13
    | hskp14
    | hskp22
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_363,c_0_333]),
    [final] ).

cnf(c_0_482,negated_conjecture,
    ( epred7_0
    | hskp13
    | hskp14
    | hskp22
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_363,c_0_334]),
    [final] ).

cnf(c_0_483,negated_conjecture,
    ( epred7_0
    | hskp13
    | hskp14
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_363,c_0_335]),
    [final] ).

cnf(c_0_484,negated_conjecture,
    ( epred7_0
    | hskp0
    | hskp15
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_180]),c_0_182]),
    [final] ).

cnf(c_0_485,negated_conjecture,
    ( epred7_0
    | hskp3
    | hskp4
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_278]),c_0_179]),c_0_182]),
    [final] ).

cnf(c_0_486,negated_conjecture,
    ( hskp6
    | hskp10
    | hskp16
    | hskp21
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_353]),c_0_267]),
    [final] ).

cnf(c_0_487,negated_conjecture,
    ( hskp6
    | hskp10
    | hskp16
    | hskp21
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_353]),c_0_270]),
    [final] ).

cnf(c_0_488,negated_conjecture,
    ( epred10_0
    | epred8_0
    | epred7_0
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_329,c_0_364]),
    [final] ).

cnf(c_0_489,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | hskp13
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_359,c_0_365]),
    [final] ).

cnf(c_0_490,negated_conjecture,
    ( epred9_0
    | epred8_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_366]),c_0_347]),
    [final] ).

cnf(c_0_491,negated_conjecture,
    ( epred9_0
    | epred7_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_367,c_0_368]),
    [final] ).

cnf(c_0_492,negated_conjecture,
    ( epred12_0
    | epred9_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_369]),c_0_190]),c_0_192]),
    [final] ).

cnf(c_0_493,negated_conjecture,
    ( epred10_0
    | epred5_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp5
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_234,c_0_167]),
    [final] ).

cnf(c_0_494,negated_conjecture,
    ( epred5_0
    | c3_1(a117)
    | hskp5
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_370]),c_0_371]),
    [final] ).

cnf(c_0_495,negated_conjecture,
    ( epred12_0
    | epred5_0
    | hskp5
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_372,c_0_318]),
    [final] ).

cnf(c_0_496,negated_conjecture,
    ( epred6_0
    | epred5_0
    | hskp5
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_286,c_0_318]),
    [final] ).

cnf(c_0_497,negated_conjecture,
    ( epred12_0
    | epred5_0
    | hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_244,c_0_320]),
    [final] ).

cnf(c_0_498,negated_conjecture,
    ( epred6_0
    | epred5_0
    | hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_293,c_0_320]),
    [final] ).

cnf(c_0_499,negated_conjecture,
    ( hskp3
    | hskp4
    | hskp6
    | hskp16
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_360,c_0_373]),
    [final] ).

cnf(c_0_500,negated_conjecture,
    ( hskp2
    | hskp6
    | hskp16
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_339,c_0_374]),
    [final] ).

cnf(c_0_501,negated_conjecture,
    ( epred6_0
    | hskp23
    | hskp24
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_375,c_0_246]),
    [final] ).

cnf(c_0_502,negated_conjecture,
    ( epred12_0
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_372,c_0_249]),
    [final] ).

cnf(c_0_503,negated_conjecture,
    ( epred6_0
    | hskp23
    | hskp24
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_286,c_0_249]),
    [final] ).

cnf(c_0_504,negated_conjecture,
    ( epred6_0
    | epred2_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_376,c_0_332]),
    [final] ).

cnf(c_0_505,negated_conjecture,
    ( epred12_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_327,c_0_333]),
    [final] ).

cnf(c_0_506,negated_conjecture,
    ( epred12_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_327,c_0_334]),
    [final] ).

cnf(c_0_507,negated_conjecture,
    ( epred12_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_327,c_0_335]),
    [final] ).

cnf(c_0_508,negated_conjecture,
    ( epred6_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_376,c_0_333]),
    [final] ).

cnf(c_0_509,negated_conjecture,
    ( epred6_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_376,c_0_334]),
    [final] ).

cnf(c_0_510,negated_conjecture,
    ( epred6_0
    | hskp13
    | hskp23
    | hskp24
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_376,c_0_335]),
    [final] ).

cnf(c_0_511,negated_conjecture,
    ( epred10_0
    | hskp10
    | hskp21
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]),
    [final] ).

cnf(c_0_512,negated_conjecture,
    ( epred9_0
    | hskp10
    | hskp21
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_379,c_0_378]),
    [final] ).

cnf(c_0_513,negated_conjecture,
    ( c0_1(a130)
    | hskp10
    | hskp21
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_380]),c_0_381]),
    [final] ).

cnf(c_0_514,negated_conjecture,
    ( epred10_0
    | hskp10
    | hskp21
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_248,c_0_382]),
    [final] ).

cnf(c_0_515,negated_conjecture,
    ( epred9_0
    | hskp10
    | hskp21
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_208,c_0_382]),
    [final] ).

cnf(c_0_516,negated_conjecture,
    ( hskp10
    | hskp21
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_233]),c_0_144]),c_0_146]),
    [final] ).

cnf(c_0_517,negated_conjecture,
    ( c0_1(a109)
    | hskp10
    | hskp21
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_383]),c_0_384]),
    [final] ).

cnf(c_0_518,negated_conjecture,
    ( c0_1(a108)
    | hskp10
    | hskp21
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_385]),c_0_386]),
    [final] ).

cnf(c_0_519,negated_conjecture,
    ( c0_1(a105)
    | hskp10
    | hskp21
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_387]),c_0_388]),
    [final] ).

cnf(c_0_520,negated_conjecture,
    ( epred11_0
    | epred8_0
    | hskp2
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_343,c_0_374]),
    [final] ).

cnf(c_0_521,negated_conjecture,
    ( epred6_0
    | epred3_0
    | epred2_0
    | hskp13
    | hskp19
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_389,c_0_332]),
    [final] ).

cnf(c_0_522,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred2_0
    | hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_390,c_0_332]),
    [final] ).

cnf(c_0_523,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_337,c_0_333]),
    [final] ).

cnf(c_0_524,negated_conjecture,
    ( epred6_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_389,c_0_333]),
    [final] ).

cnf(c_0_525,negated_conjecture,
    ( epred12_0
    | epred7_0
    | hskp13
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_359,c_0_333]),
    [final] ).

cnf(c_0_526,negated_conjecture,
    ( epred7_0
    | epred6_0
    | hskp13
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_390,c_0_333]),
    [final] ).

cnf(c_0_527,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_337,c_0_334]),
    [final] ).

cnf(c_0_528,negated_conjecture,
    ( epred6_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_389,c_0_334]),
    [final] ).

cnf(c_0_529,negated_conjecture,
    ( epred12_0
    | epred7_0
    | hskp13
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_359,c_0_334]),
    [final] ).

cnf(c_0_530,negated_conjecture,
    ( epred7_0
    | epred6_0
    | hskp13
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_390,c_0_334]),
    [final] ).

cnf(c_0_531,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_337,c_0_335]),
    [final] ).

cnf(c_0_532,negated_conjecture,
    ( epred6_0
    | epred3_0
    | hskp13
    | hskp19
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_389,c_0_335]),
    [final] ).

cnf(c_0_533,negated_conjecture,
    ( epred12_0
    | epred7_0
    | hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_359,c_0_335]),
    [final] ).

cnf(c_0_534,negated_conjecture,
    ( epred7_0
    | epred6_0
    | hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_390,c_0_335]),
    [final] ).

cnf(c_0_535,negated_conjecture,
    ( epred10_0
    | epred7_0
    | c3_1(X1)
    | hskp3
    | hskp4
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_279,c_0_227]),
    [final] ).

cnf(c_0_536,negated_conjecture,
    ( c3_1(a111)
    | hskp3
    | hskp4
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_391]),c_0_392]),
    [final] ).

cnf(c_0_537,negated_conjecture,
    ( epred6_0
    | epred3_0
    | hskp19
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_375,c_0_253]),
    [final] ).

cnf(c_0_538,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp19
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_372,c_0_257]),
    [final] ).

cnf(c_0_539,negated_conjecture,
    ( epred6_0
    | epred3_0
    | hskp19
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_286,c_0_257]),
    [final] ).

cnf(c_0_540,negated_conjecture,
    ( epred10_0
    | epred7_0
    | c3_1(X1)
    | hskp0
    | hskp15
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_277,c_0_227]),
    [final] ).

cnf(c_0_541,negated_conjecture,
    ( epred10_0
    | epred6_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_375,c_0_361]),
    [final] ).

cnf(c_0_542,negated_conjecture,
    ( epred10_0
    | epred8_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_377,c_0_393]),
    [final] ).

cnf(c_0_543,negated_conjecture,
    ( epred12_0
    | epred7_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_372,c_0_282]),
    [final] ).

cnf(c_0_544,negated_conjecture,
    ( epred1_0
    | c0_1(a130)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_380]),c_0_394]),
    [final] ).

cnf(c_0_545,negated_conjecture,
    ( epred1_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_296]),c_0_294]),c_0_295]),
    [final] ).

cnf(c_0_546,negated_conjecture,
    ( epred11_0
    | epred1_0
    | hskp6
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_395,c_0_262]),
    [final] ).

cnf(c_0_547,negated_conjecture,
    ( epred1_0
    | c0_1(a109)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_383]),c_0_396]),
    [final] ).

cnf(c_0_548,negated_conjecture,
    ( epred1_0
    | c0_1(a108)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_385]),c_0_397]),
    [final] ).

cnf(c_0_549,negated_conjecture,
    ( epred1_0
    | c0_1(a105)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_387]),c_0_398]),
    [final] ).

cnf(c_0_550,negated_conjecture,
    ( epred11_0
    | epred4_0
    | hskp6
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_399,c_0_262]),
    [final] ).

cnf(c_0_551,negated_conjecture,
    ( epred9_0
    | epred6_0
    | epred2_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_400,c_0_228]),
    [final] ).

cnf(c_0_552,negated_conjecture,
    ( epred12_0
    | epred9_0
    | epred6_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_228]),
    [final] ).

cnf(c_0_553,negated_conjecture,
    ( epred9_0
    | epred2_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_250,c_0_369]),
    [final] ).

cnf(c_0_554,negated_conjecture,
    ( epred9_0
    | epred8_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_379,c_0_393]),
    [final] ).

cnf(c_0_555,negated_conjecture,
    ( epred4_0
    | c0_1(a130)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_380]),c_0_394]),
    [final] ).

cnf(c_0_556,negated_conjecture,
    ( epred4_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_296]),c_0_294]),c_0_295]),
    [final] ).

cnf(c_0_557,negated_conjecture,
    ( epred4_0
    | c0_1(a109)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_383]),c_0_396]),
    [final] ).

cnf(c_0_558,negated_conjecture,
    ( epred4_0
    | c0_1(a108)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_385]),c_0_397]),
    [final] ).

cnf(c_0_559,negated_conjecture,
    ( epred4_0
    | c0_1(a105)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_387]),c_0_398]),
    [final] ).

cnf(c_0_560,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_401,c_0_118]),c_0_106]),c_0_121]),
    [final] ).

cnf(c_0_561,negated_conjecture,
    ( ~ epred9_0
    | ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_402,c_0_117]),c_0_108]),c_0_109]),
    [final] ).

cnf(c_0_562,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_403,c_0_170]),c_0_119]),
    [final] ).

cnf(c_0_563,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_404,c_0_135]),c_0_158]),
    [final] ).

cnf(c_0_564,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_405,c_0_159]),c_0_130]),
    [final] ).

cnf(c_0_565,negated_conjecture,
    ( ~ c1_1(a111)
    | ~ hskp5 ),
    c_0_406,
    [final] ).

cnf(c_0_566,negated_conjecture,
    ( ~ c1_1(a113)
    | ~ hskp16 ),
    c_0_407,
    [final] ).

cnf(c_0_567,negated_conjecture,
    ( ~ c1_1(a117)
    | ~ hskp19 ),
    c_0_408,
    [final] ).

cnf(c_0_568,negated_conjecture,
    ( ~ c1_1(a131)
    | ~ hskp24 ),
    c_0_409,
    [final] ).

cnf(c_0_569,negated_conjecture,
    ( c3_1(a131)
    | ~ hskp24 ),
    c_0_410,
    [final] ).

cnf(c_0_570,negated_conjecture,
    ( c0_1(a131)
    | ~ hskp24 ),
    c_0_411,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN430-1 : TPTP v8.2.0. Released v2.1.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 14:13:37 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.55  # Version: 3.1.0
% 0.19/0.55  # Preprocessing class: FSLSSLSMSSSNFFN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.19/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.55  # Starting sh5l with 300s (1) cores
% 0.19/0.55  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 20528 completed with status 1
% 0.19/0.55  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.19/0.55  # Preprocessing class: FSLSSLSMSSSNFFN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.19/0.55  # No SInE strategy applied
% 0.19/0.55  # Search class: FGHNF-FFMS00-SFFFFFNN
% 0.19/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.19/0.55  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.19/0.55  # Starting new_bool_3 with 136s (1) cores
% 0.19/0.55  # Starting new_bool_1 with 136s (1) cores
% 0.19/0.55  # Starting sh5l with 136s (1) cores
% 0.19/0.55  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 20533 completed with status 1
% 0.19/0.55  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.19/0.55  # Preprocessing class: FSLSSLSMSSSNFFN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.19/0.55  # No SInE strategy applied
% 0.19/0.55  # Search class: FGHNF-FFMS00-SFFFFFNN
% 0.19/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.19/0.55  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.19/0.55  # Preprocessing time       : 0.002 s
% 0.19/0.55  
% 0.19/0.55  # No proof found!
% 0.19/0.55  # SZS status Satisfiable
% 0.19/0.55  # SZS output start Saturation
% See solution above
% 0.19/0.55  # Parsed axioms                        : 116
% 0.19/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.55  # Initial clauses                      : 116
% 0.19/0.55  # Removed in clause preprocessing      : 0
% 0.19/0.55  # Initial clauses in saturation        : 116
% 0.19/0.55  # Processed clauses                    : 925
% 0.19/0.55  # ...of these trivial                  : 0
% 0.19/0.55  # ...subsumed                          : 489
% 0.19/0.55  # ...remaining for further processing  : 436
% 0.19/0.55  # Other redundant clauses eliminated   : 0
% 0.19/0.55  # Clauses deleted for lack of memory   : 0
% 0.19/0.55  # Backward-subsumed                    : 43
% 0.19/0.55  # Backward-rewritten                   : 33
% 0.19/0.55  # Generated clauses                    : 881
% 0.19/0.55  # ...of the previous two non-redundant : 819
% 0.19/0.55  # ...aggressively subsumed             : 0
% 0.19/0.55  # Contextual simplify-reflections      : 222
% 0.19/0.55  # Paramodulations                      : 864
% 0.19/0.55  # Factorizations                       : 0
% 0.19/0.55  # NegExts                              : 0
% 0.19/0.55  # Equation resolutions                 : 0
% 0.19/0.55  # Disequality decompositions           : 0
% 0.19/0.55  # Total rewrite steps                  : 38
% 0.19/0.55  # ...of those cached                   : 37
% 0.19/0.55  # Propositional unsat checks           : 0
% 0.19/0.55  #    Propositional check models        : 0
% 0.19/0.55  #    Propositional check unsatisfiable : 0
% 0.19/0.55  #    Propositional clauses             : 0
% 0.19/0.55  #    Propositional clauses after purity: 0
% 0.19/0.55  #    Propositional unsat core size     : 0
% 0.19/0.55  #    Propositional preprocessing time  : 0.000
% 0.19/0.55  #    Propositional encoding time       : 0.000
% 0.19/0.55  #    Propositional solver time         : 0.000
% 0.19/0.55  #    Success case prop preproc time    : 0.000
% 0.19/0.55  #    Success case prop encoding time   : 0.000
% 0.19/0.55  #    Success case prop solver time     : 0.000
% 0.19/0.55  # Current number of processed clauses  : 355
% 0.19/0.55  #    Positive orientable unit clauses  : 1
% 0.19/0.55  #    Positive unorientable unit clauses: 0
% 0.19/0.55  #    Negative unit clauses             : 0
% 0.19/0.55  #    Non-unit-clauses                  : 354
% 0.19/0.55  # Current number of unprocessed clauses: 0
% 0.19/0.55  # ...number of literals in the above   : 0
% 0.19/0.55  # Current number of archived formulas  : 0
% 0.19/0.55  # Current number of archived clauses   : 76
% 0.19/0.55  # Clause-clause subsumption calls (NU) : 86034
% 0.19/0.55  # Rec. Clause-clause subsumption calls : 6666
% 0.19/0.55  # Non-unit clause-clause subsumptions  : 754
% 0.19/0.55  # Unit Clause-clause subsumption calls : 3
% 0.19/0.55  # Rewrite failures with RHS unbound    : 0
% 0.19/0.55  # BW rewrite match attempts            : 1
% 0.19/0.55  # BW rewrite match successes           : 1
% 0.19/0.55  # Condensation attempts                : 925
% 0.19/0.55  # Condensation successes               : 0
% 0.19/0.55  # Termbank termtop insertions          : 11520
% 0.19/0.55  # Search garbage collected termcells   : 271
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.056 s
% 0.19/0.55  # System time              : 0.002 s
% 0.19/0.55  # Total time               : 0.058 s
% 0.19/0.55  # Maximum resident set size: 1944 pages
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.275 s
% 0.19/0.55  # System time              : 0.007 s
% 0.19/0.55  # Total time               : 0.281 s
% 0.19/0.55  # Maximum resident set size: 1768 pages
% 0.19/0.55  % E---3.1 exiting
% 0.19/0.55  % E exiting
%------------------------------------------------------------------------------