TSTP Solution File: SYN505+1 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN505+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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  : 600s
% DateTime : Thu Jul 21 04:54:13 EDT 2022

% Result   : Theorem 16.94s 3.61s
% Output   : CNFRefutation 16.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  143
% Syntax   : Number of formulae    :  450 (   2 unt;   0 def)
%            Number of atoms       : 1656 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2008 ( 802   ~;1175   |;   0   &)
%                                         (  31 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   62 (  61 usr;  58 prp; 0-1 aty)
%            Number of functors    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  185 (   0 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_88,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_88) ).

cnf(i_0_6,negated_conjecture,
    ( hskp0
    | hskp10
    | hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_6) ).

cnf(i_0_208,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_208) ).

cnf(i_0_168,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_168) ).

cnf(i_0_97,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a576) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_97) ).

cnf(i_0_98,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a576) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_98) ).

cnf(i_0_99,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a576) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_99) ).

cnf(i_0_174,negated_conjecture,
    ( c3_1(a472)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_174) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a472) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_173) ).

cnf(i_0_175,negated_conjecture,
    ( c1_1(a472)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_175) ).

cnf(i_0_141,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a487) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_141) ).

cnf(i_0_143,negated_conjecture,
    ( c0_1(a487)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_143) ).

cnf(i_0_3,negated_conjecture,
    ( hskp7
    | hskp8
    | hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_3) ).

cnf(i_0_178,negated_conjecture,
    ( c3_1(a471)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_178) ).

cnf(i_0_179,negated_conjecture,
    ( c0_1(a471)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_179) ).

cnf(i_0_177,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a471) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_177) ).

cnf(i_0_81,negated_conjecture,
    ( c3_1(a529)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_81) ).

cnf(i_0_82,negated_conjecture,
    ( c1_1(a529)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_82) ).

cnf(i_0_131,negated_conjecture,
    ( c1_1(a500)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_131) ).

cnf(i_0_130,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a500) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_130) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a500) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_129) ).

cnf(i_0_142,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a487) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_142) ).

cnf(i_0_154,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a482) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_154) ).

cnf(i_0_153,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a482) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_153) ).

cnf(i_0_155,negated_conjecture,
    ( c3_1(a482)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_155) ).

cnf(i_0_199,negated_conjecture,
    ( c3_1(a464)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_199) ).

cnf(i_0_198,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a464) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_198) ).

cnf(i_0_197,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a464) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_197) ).

cnf(i_0_9,negated_conjecture,
    ( hskp10
    | hskp19
    | hskp31 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_9) ).

cnf(i_0_162,negated_conjecture,
    ( c3_1(a479)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_162) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a479) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_161) ).

cnf(i_0_163,negated_conjecture,
    ( c0_1(a479)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_163) ).

cnf(i_0_106,negated_conjecture,
    ( c3_1(a545)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_106) ).

cnf(i_0_107,negated_conjecture,
    ( c1_1(a545)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_107) ).

cnf(i_0_105,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a545) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_105) ).

cnf(i_0_102,negated_conjecture,
    ( c1_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_102) ).

cnf(i_0_103,negated_conjecture,
    ( c0_1(a559)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_103) ).

cnf(i_0_101,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_101) ).

cnf(i_0_49,negated_conjecture,
    ( hskp7
    | hskp17
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_49) ).

cnf(i_0_123,negated_conjecture,
    ( c2_1(a507)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_123) ).

cnf(i_0_122,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a507) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_122) ).

cnf(i_0_151,negated_conjecture,
    ( c1_1(a483)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_151) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a483) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_149) ).

cnf(i_0_159,negated_conjecture,
    ( c1_1(a481)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_159) ).

cnf(i_0_158,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a481) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_158) ).

cnf(i_0_157,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a481) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_157) ).

cnf(i_0_74,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_74) ).

cnf(i_0_21,negated_conjecture,
    ( hskp17
    | hskp18
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_21) ).

cnf(i_0_165,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a478) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_165) ).

cnf(i_0_167,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_167) ).

cnf(i_0_185,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a467) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_185) ).

cnf(i_0_187,negated_conjecture,
    ( c0_1(a467)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_187) ).

cnf(i_0_79,negated_conjecture,
    ( hskp1
    | hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_79) ).

cnf(i_0_40,negated_conjecture,
    ( hskp1
    | hskp18
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_40) ).

cnf(i_0_61,negated_conjecture,
    ( hskp5
    | hskp12
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_61) ).

cnf(i_0_56,negated_conjecture,
    ( hskp7
    | hskp16
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_56) ).

cnf(i_0_38,negated_conjecture,
    ( hskp21
    | hskp30
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_38) ).

cnf(i_0_54,negated_conjecture,
    ( hskp1
    | hskp30
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_54) ).

cnf(i_0_48,negated_conjecture,
    ( hskp6
    | hskp18
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_48) ).

cnf(i_0_19,negated_conjecture,
    ( hskp4
    | hskp18
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_19) ).

cnf(i_0_18,negated_conjecture,
    ( hskp10
    | hskp14
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_18) ).

cnf(i_0_15,negated_conjecture,
    ( hskp10
    | hskp24
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_15) ).

cnf(i_0_14,negated_conjecture,
    ( hskp14
    | hskp25
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_14) ).

cnf(i_0_150,negated_conjecture,
    ( c2_1(a483)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_150) ).

cnf(i_0_201,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a463) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_201) ).

cnf(i_0_202,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_202) ).

cnf(i_0_203,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_203) ).

cnf(i_0_166,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a478) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_166) ).

cnf(i_0_55,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_55) ).

cnf(i_0_170,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_170) ).

cnf(i_0_171,negated_conjecture,
    ( c2_1(a477)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_171) ).

cnf(i_0_169,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a477) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_169) ).

cnf(i_0_5,negated_conjecture,
    ( hskp0
    | hskp14
    | hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_5) ).

cnf(i_0_182,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a470) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_182) ).

cnf(i_0_109,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a525) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_109) ).

cnf(i_0_190,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a466) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_190) ).

cnf(i_0_207,negated_conjecture,
    ( c0_1(a462)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_207) ).

cnf(i_0_138,negated_conjecture,
    ( c3_1(a493)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_138) ).

cnf(i_0_87,negated_conjecture,
    ( c1_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_87) ).

cnf(i_0_85,negated_conjecture,
    ( c3_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_85) ).

cnf(i_0_189,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a466) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_189) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a507) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_121) ).

cnf(i_0_4,negated_conjecture,
    ( hskp9
    | hskp11
    | hskp12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_4) ).

cnf(i_0_110,negated_conjecture,
    ( c1_1(a525)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_110) ).

cnf(i_0_111,negated_conjecture,
    ( c0_1(a525)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_111) ).

cnf(i_0_86,negated_conjecture,
    ( c2_1(a488)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_86) ).

cnf(i_0_205,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a462) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_205) ).

cnf(i_0_206,negated_conjecture,
    ( c2_1(a462)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_206) ).

cnf(i_0_133,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a494) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_133) ).

cnf(i_0_135,negated_conjecture,
    ( c0_1(a494)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_135) ).

cnf(i_0_134,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a494) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_134) ).

cnf(i_0_8,negated_conjecture,
    ( hskp13
    | hskp16
    | hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_8) ).

cnf(i_0_50,negated_conjecture,
    ( c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_50) ).

cnf(i_0_60,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | c3_1(X3)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_60) ).

cnf(i_0_75,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_75) ).

cnf(i_0_70,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X3)
    | c3_1(X1)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_70) ).

cnf(i_0_52,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_52) ).

cnf(i_0_22,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_22) ).

cnf(i_0_37,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_37) ).

cnf(i_0_58,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_58) ).

cnf(i_0_59,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_59) ).

cnf(i_0_63,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_63) ).

cnf(i_0_46,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_46) ).

cnf(i_0_47,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_47) ).

cnf(i_0_45,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_45) ).

cnf(i_0_33,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_33) ).

cnf(i_0_137,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a493) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_137) ).

cnf(i_0_181,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a470) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_181) ).

cnf(i_0_183,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a470) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_183) ).

cnf(i_0_186,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a467) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_186) ).

cnf(i_0_191,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a466) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_191) ).

cnf(i_0_139,negated_conjecture,
    ( c2_1(a493)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cvzba8pn/input.p',i_0_139) ).

cnf(c_0_321,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    i_0_88 ).

cnf(c_0_322,negated_conjecture,
    ( hskp0
    | hskp10
    | hskp30 ),
    i_0_6 ).

cnf(c_0_323,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    i_0_208 ).

cnf(c_0_324,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    i_0_168 ).

fof(c_0_325,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_326,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_327,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323]),c_0_324]) ).

fof(c_0_328,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp16
        | c2_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_329,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_330,negated_conjecture,
    ( epred38_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_325]) ).

cnf(c_0_331,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_326]),c_0_327])]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a576) ),
    i_0_97 ).

cnf(c_0_333,negated_conjecture,
    ( epred9_0
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp16 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_328]),c_0_327])]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a576) ),
    i_0_98 ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a576) ),
    i_0_99 ).

fof(c_0_336,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_337,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_338,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp14
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_339,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_340,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_341,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_342,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( hskp10
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_343,negated_conjecture,
    ( c3_1(a472)
    | ~ hskp8 ),
    i_0_174 ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a472) ),
    i_0_173 ).

cnf(c_0_345,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_329]) ).

cnf(c_0_346,negated_conjecture,
    ( c1_1(a472)
    | ~ hskp8 ),
    i_0_175 ).

cnf(c_0_347,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a487) ),
    i_0_141 ).

cnf(c_0_348,negated_conjecture,
    ( epred38_0
    | epred3_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_349,negated_conjecture,
    ( c0_1(a487)
    | ~ hskp16 ),
    i_0_143 ).

cnf(c_0_350,negated_conjecture,
    ( epred9_0
    | hskp16
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]),c_0_335]) ).

cnf(c_0_351,negated_conjecture,
    ( hskp7
    | hskp8
    | hskp27 ),
    i_0_3 ).

cnf(c_0_352,negated_conjecture,
    ( c3_1(a471)
    | ~ hskp7 ),
    i_0_178 ).

cnf(c_0_353,negated_conjecture,
    ( c0_1(a471)
    | ~ hskp7 ),
    i_0_179 ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a471) ),
    i_0_177 ).

cnf(c_0_355,negated_conjecture,
    ( epred36_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_336]) ).

cnf(c_0_356,negated_conjecture,
    ( c3_1(a529)
    | ~ hskp31 ),
    i_0_81 ).

cnf(c_0_357,negated_conjecture,
    ( c1_1(a529)
    | ~ hskp31 ),
    i_0_82 ).

cnf(c_0_358,negated_conjecture,
    ( epred28_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_337]) ).

cnf(c_0_359,negated_conjecture,
    ( epred7_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp14
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_338]),c_0_327])]) ).

cnf(c_0_360,negated_conjecture,
    ( c1_1(a500)
    | ~ hskp19 ),
    i_0_131 ).

cnf(c_0_361,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a500) ),
    i_0_130 ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a500) ),
    i_0_129 ).

cnf(c_0_363,negated_conjecture,
    ( epred41_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_339]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a487) ),
    i_0_142 ).

cnf(c_0_365,negated_conjecture,
    ( epred1_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_340]),c_0_327])]) ).

fof(c_0_366,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_367,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_368,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_369,negated_conjecture,
    ( epred47_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_341]),c_0_327])]) ).

fof(c_0_370,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( hskp14
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_371,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( hskp13
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a482) ),
    i_0_154 ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a482) ),
    i_0_153 ).

cnf(c_0_374,negated_conjecture,
    ( epred27_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp10
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_342]),c_0_327])]) ).

cnf(c_0_375,negated_conjecture,
    ( c3_1(a482)
    | ~ hskp13 ),
    i_0_155 ).

fof(c_0_376,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( hskp2
        | c2_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_377,negated_conjecture,
    ( c3_1(a464)
    | ~ hskp2 ),
    i_0_199 ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a464) ),
    i_0_198 ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a464) ),
    i_0_197 ).

cnf(c_0_380,negated_conjecture,
    ( epred38_0
    | ~ c0_1(a472)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_343]),c_0_344]) ).

cnf(c_0_381,negated_conjecture,
    ( epred24_0
    | c0_1(a472)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_343]),c_0_346]) ).

cnf(c_0_382,negated_conjecture,
    ( epred38_0
    | epred3_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]) ).

cnf(c_0_383,negated_conjecture,
    ( epred9_0
    | hskp16
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_384,negated_conjecture,
    ( epred38_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_352]),c_0_353]),c_0_354]) ).

fof(c_0_385,plain,
    ( ~ epred53_0
  <=> ! [X3] :
        ( c1_1(X3)
        | c3_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_386,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_387,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( hskp16
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_388,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_389,negated_conjecture,
    ( epred36_0
    | ~ c2_1(a529)
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).

cnf(c_0_390,negated_conjecture,
    ( epred28_0
    | c2_1(a529)
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_356]),c_0_357]) ).

cnf(c_0_391,negated_conjecture,
    ( epred7_0
    | hskp14
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]),c_0_362]) ).

cnf(c_0_392,negated_conjecture,
    ( hskp10
    | hskp19
    | hskp31 ),
    i_0_9 ).

fof(c_0_393,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_394,negated_conjecture,
    ( epred41_0
    | ~ c0_1(a472)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_346]),c_0_344]) ).

cnf(c_0_395,negated_conjecture,
    ( epred1_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_349]),c_0_347]) ).

cnf(c_0_396,negated_conjecture,
    ( epred41_0
    | epred1_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_363,c_0_365]) ).

fof(c_0_397,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ c0_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_398,plain,
    ( ~ epred48_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_399,negated_conjecture,
    ( epred16_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_366]) ).

cnf(c_0_400,negated_conjecture,
    ( c3_1(a479)
    | ~ hskp11 ),
    i_0_162 ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a479) ),
    i_0_161 ).

cnf(c_0_402,negated_conjecture,
    ( c0_1(a479)
    | ~ hskp11 ),
    i_0_163 ).

cnf(c_0_403,negated_conjecture,
    ( epred8_0
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_367]) ).

cnf(c_0_404,negated_conjecture,
    ( c3_1(a545)
    | ~ hskp25 ),
    i_0_106 ).

cnf(c_0_405,negated_conjecture,
    ( c1_1(a545)
    | ~ hskp25 ),
    i_0_107 ).

cnf(c_0_406,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a545) ),
    i_0_105 ).

cnf(c_0_407,negated_conjecture,
    ( epred4_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_368]) ).

cnf(c_0_408,negated_conjecture,
    ( c1_1(a559)
    | ~ hskp26 ),
    i_0_102 ).

cnf(c_0_409,negated_conjecture,
    ( c0_1(a559)
    | ~ hskp26 ),
    i_0_103 ).

cnf(c_0_410,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    i_0_101 ).

fof(c_0_411,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_412,negated_conjecture,
    ( epred47_0
    | epred24_0
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_345,c_0_369]) ).

cnf(c_0_413,negated_conjecture,
    ( hskp7
    | hskp17
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_49 ).

cnf(c_0_414,negated_conjecture,
    ( epred31_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp14
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_370]),c_0_327])]) ).

cnf(c_0_415,negated_conjecture,
    ( c2_1(a507)
    | ~ hskp21 ),
    i_0_123 ).

cnf(c_0_416,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a507) ),
    i_0_122 ).

cnf(c_0_417,negated_conjecture,
    ( epred29_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp13
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_371]),c_0_327])]) ).

cnf(c_0_418,negated_conjecture,
    ( c1_1(a483)
    | ~ hskp14 ),
    i_0_151 ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a483) ),
    i_0_149 ).

cnf(c_0_420,negated_conjecture,
    ( epred1_0
    | ~ c0_1(a482)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_365]),c_0_373]) ).

cnf(c_0_421,negated_conjecture,
    ( epred27_0
    | c0_1(a482)
    | hskp10
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_373]) ).

cnf(c_0_422,negated_conjecture,
    ( c1_1(a481)
    | ~ hskp12 ),
    i_0_159 ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a481) ),
    i_0_158 ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a481) ),
    i_0_157 ).

cnf(c_0_425,negated_conjecture,
    ( epred15_0
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_376]),c_0_327])]) ).

cnf(c_0_426,negated_conjecture,
    ( epred27_0
    | hskp10
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_377]),c_0_378]),c_0_379]) ).

fof(c_0_427,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_428,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3) ),
    i_0_74 ).

cnf(c_0_429,negated_conjecture,
    ( epred38_0
    | epred24_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_430,negated_conjecture,
    ( epred38_0
    | epred9_0
    | epred3_0
    | hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]) ).

cnf(c_0_431,negated_conjecture,
    ( epred27_0
    | c0_1(a472)
    | hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_343]),c_0_344]) ).

cnf(c_0_432,negated_conjecture,
    ( hskp17
    | hskp18
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_21 ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a478) ),
    i_0_165 ).

cnf(c_0_434,negated_conjecture,
    ( epred53_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_385]) ).

cnf(c_0_435,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp10 ),
    i_0_167 ).

cnf(c_0_436,negated_conjecture,
    ( epred28_0
    | epred3_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_358,c_0_331]) ).

cnf(c_0_437,negated_conjecture,
    ( epred26_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_386]) ).

fof(c_0_438,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( hskp12
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a467) ),
    i_0_185 ).

cnf(c_0_440,negated_conjecture,
    ( c0_1(a467)
    | ~ hskp5 ),
    i_0_187 ).

cnf(c_0_441,negated_conjecture,
    ( hskp1
    | hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    i_0_79 ).

cnf(c_0_442,negated_conjecture,
    ( hskp1
    | hskp18
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_40 ).

cnf(c_0_443,negated_conjecture,
    ( hskp5
    | hskp12
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_61 ).

cnf(c_0_444,negated_conjecture,
    ( hskp7
    | hskp16
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_56 ).

cnf(c_0_445,negated_conjecture,
    ( epred43_0
    | c0_1(X1)
    | hskp16
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_387]),c_0_327])]) ).

cnf(c_0_446,negated_conjecture,
    ( hskp21
    | hskp30
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_38 ).

cnf(c_0_447,negated_conjecture,
    ( hskp1
    | hskp30
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_54 ).

cnf(c_0_448,negated_conjecture,
    ( hskp6
    | hskp18
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_48 ).

cnf(c_0_449,negated_conjecture,
    ( hskp4
    | hskp18
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_19 ).

cnf(c_0_450,negated_conjecture,
    ( hskp10
    | hskp14
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_18 ).

cnf(c_0_451,negated_conjecture,
    ( hskp10
    | hskp24
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_15 ).

cnf(c_0_452,negated_conjecture,
    ( hskp14
    | hskp25
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_14 ).

fof(c_0_453,plain,
    ( ~ epred59_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_454,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_455,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( hskp7
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_456,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_388]) ).

cnf(c_0_457,negated_conjecture,
    ( c2_1(a483)
    | ~ hskp14 ),
    i_0_150 ).

cnf(c_0_458,negated_conjecture,
    ( epred36_0
    | epred28_0
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_459,negated_conjecture,
    ( epred7_0
    | hskp31
    | hskp14
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_391,c_0_392]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a463) ),
    i_0_201 ).

cnf(c_0_461,negated_conjecture,
    ( epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_393]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    i_0_202 ).

cnf(c_0_463,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    i_0_203 ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a478) ),
    i_0_166 ).

cnf(c_0_465,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_55 ).

cnf(c_0_466,negated_conjecture,
    ( epred41_0
    | epred24_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_394,c_0_381]) ).

cnf(c_0_467,negated_conjecture,
    ( epred9_0
    | epred1_0
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_395,c_0_383]) ).

cnf(c_0_468,negated_conjecture,
    ( epred41_0
    | epred1_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_396]),c_0_353]) ).

cnf(c_0_469,negated_conjecture,
    ( epred51_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_397]) ).

cnf(c_0_470,negated_conjecture,
    ( epred48_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_398]) ).

cnf(c_0_471,negated_conjecture,
    ( epred16_0
    | ~ c2_1(a479)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_400]),c_0_401]) ).

cnf(c_0_472,negated_conjecture,
    ( epred38_0
    | c2_1(a479)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_400]),c_0_402]) ).

cnf(c_0_473,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp9 ),
    i_0_170 ).

cnf(c_0_474,negated_conjecture,
    ( c2_1(a477)
    | ~ hskp9 ),
    i_0_171 ).

cnf(c_0_475,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a477) ),
    i_0_169 ).

fof(c_0_476,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_477,negated_conjecture,
    ( epred8_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_403]),c_0_334]),c_0_335]) ).

cnf(c_0_478,negated_conjecture,
    ( epred24_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_404]),c_0_405]),c_0_406]) ).

cnf(c_0_479,negated_conjecture,
    ( hskp0
    | hskp14
    | hskp25 ),
    i_0_5 ).

cnf(c_0_480,negated_conjecture,
    ( epred4_0
    | ~ c2_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_409]) ).

cnf(c_0_481,negated_conjecture,
    ( epred3_0
    | c2_1(a559)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_331]),c_0_409]) ).

cnf(c_0_482,negated_conjecture,
    ( epred1_0
    | c2_1(a479)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_365]),c_0_402]) ).

cnf(c_0_483,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_411]) ).

cnf(c_0_484,negated_conjecture,
    ( epred47_0
    | epred24_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_405]),c_0_406]) ).

cnf(c_0_485,negated_conjecture,
    ( c0_1(X1)
    | hskp17
    | hskp7
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_327])]) ).

cnf(c_0_486,negated_conjecture,
    ( epred31_0
    | c3_1(a507)
    | hskp14
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_416]) ).

cnf(c_0_487,negated_conjecture,
    ( epred29_0
    | c3_1(a483)
    | hskp13
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]) ).

cnf(c_0_488,negated_conjecture,
    ( epred27_0
    | epred1_0
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_420,c_0_421]) ).

cnf(c_0_489,negated_conjecture,
    ( epred29_0
    | hskp13
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_422]),c_0_423]),c_0_424]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a470) ),
    i_0_182 ).

cnf(c_0_491,negated_conjecture,
    ( epred27_0
    | epred15_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_425]),c_0_426]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ epred52_0
    | ~ epred16_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_428,c_0_326]),c_0_427]),c_0_366]) ).

cnf(c_0_493,negated_conjecture,
    ( epred38_0
    | epred24_0
    | epred9_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_494,negated_conjecture,
    ( epred41_0
    | epred27_0
    | hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_394,c_0_431]) ).

cnf(c_0_495,negated_conjecture,
    ( c3_1(X1)
    | hskp18
    | hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_327])]) ).

cnf(c_0_496,negated_conjecture,
    ( epred53_0
    | c1_1(a478)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_435]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a525) ),
    i_0_109 ).

cnf(c_0_498,negated_conjecture,
    ( epred28_0
    | epred3_0
    | epred1_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_436,c_0_365]) ).

cnf(c_0_499,negated_conjecture,
    ( epred28_0
    | ~ c1_1(a471)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_352]),c_0_354]) ).

cnf(c_0_500,negated_conjecture,
    ( epred26_0
    | ~ c1_1(a471)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_352]),c_0_353]) ).

cnf(c_0_501,negated_conjecture,
    ( epred37_0
    | c1_1(X1)
    | hskp12
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_438]),c_0_327])]) ).

cnf(c_0_502,negated_conjecture,
    ( epred3_0
    | c2_1(a467)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_331]),c_0_440]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a466) ),
    i_0_190 ).

cnf(c_0_504,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp2
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_441,c_0_327])]) ).

cnf(c_0_505,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp18
    | hskp1
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_327])]) ).

cnf(c_0_506,negated_conjecture,
    ( c0_1(a462)
    | ~ hskp0 ),
    i_0_207 ).

cnf(c_0_507,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp12
    | hskp5
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_327])]) ).

cnf(c_0_508,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp16
    | hskp7
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_327])]) ).

cnf(c_0_509,negated_conjecture,
    ( epred47_0
    | epred43_0
    | c0_1(X1)
    | hskp16
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_445,c_0_369]) ).

cnf(c_0_510,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp30
    | hskp21
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_327])]) ).

cnf(c_0_511,negated_conjecture,
    ( c0_1(X1)
    | hskp30
    | hskp1
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_327])]) ).

cnf(c_0_512,negated_conjecture,
    ( c0_1(X1)
    | hskp18
    | hskp6
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_327])]) ).

cnf(c_0_513,negated_conjecture,
    ( c3_1(a493)
    | ~ hskp17 ),
    i_0_138 ).

cnf(c_0_514,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_327])]) ).

cnf(c_0_515,negated_conjecture,
    ( c1_1(a488)
    | ~ hskp30 ),
    i_0_87 ).

cnf(c_0_516,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_327])]) ).

cnf(c_0_517,negated_conjecture,
    ( hskp24
    | hskp10
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_327])]) ).

cnf(c_0_518,negated_conjecture,
    ( c3_1(a488)
    | ~ hskp30 ),
    i_0_85 ).

cnf(c_0_519,negated_conjecture,
    ( hskp25
    | hskp14
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_327])]) ).

cnf(c_0_520,negated_conjecture,
    ( epred59_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_453]),c_0_327])]) ).

cnf(c_0_521,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_454]),c_0_327])]) ).

cnf(c_0_522,negated_conjecture,
    ( epred42_0
    | c3_1(X1)
    | hskp7
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_455]),c_0_327])]) ).

cnf(c_0_523,negated_conjecture,
    ( epred2_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_418]),c_0_457]),c_0_419]) ).

cnf(c_0_524,negated_conjecture,
    ( epred36_0
    | epred28_0
    | epred7_0
    | hskp14
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_525,negated_conjecture,
    ( epred10_0
    | ~ c0_1(a463)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_462]) ).

cnf(c_0_526,negated_conjecture,
    ( epred31_0
    | c0_1(a463)
    | hskp14
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_463]),c_0_460]) ).

cnf(c_0_527,negated_conjecture,
    ( epred31_0
    | hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_435]),c_0_464]),c_0_433]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_340]),c_0_388]) ).

cnf(c_0_529,negated_conjecture,
    ( epred41_0
    | epred24_0
    | epred9_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_468]) ).

cnf(c_0_530,negated_conjecture,
    ( epred28_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_343]),c_0_346]),c_0_344]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a466) ),
    i_0_189 ).

cnf(c_0_532,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a507) ),
    i_0_121 ).

cnf(c_0_533,negated_conjecture,
    ( epred52_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_427]) ).

cnf(c_0_534,negated_conjecture,
    ( epred51_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_400]),c_0_402]),c_0_401]) ).

cnf(c_0_535,negated_conjecture,
    ( hskp9
    | hskp11
    | hskp12 ),
    i_0_4 ).

cnf(c_0_536,negated_conjecture,
    ( epred2_0
    | ~ c2_1(a481)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_422]),c_0_423]) ).

cnf(c_0_537,negated_conjecture,
    ( epred48_0
    | c2_1(a481)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_470]),c_0_423]) ).

cnf(c_0_538,negated_conjecture,
    ( c1_1(a525)
    | ~ hskp24 ),
    i_0_110 ).

cnf(c_0_539,negated_conjecture,
    ( c0_1(a525)
    | ~ hskp24 ),
    i_0_111 ).

cnf(c_0_540,negated_conjecture,
    ( epred38_0
    | epred16_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_471,c_0_472]) ).

cnf(c_0_541,negated_conjecture,
    ( epred16_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_473]),c_0_474]),c_0_475]) ).

cnf(c_0_542,negated_conjecture,
    ( c2_1(a488)
    | ~ hskp30 ),
    i_0_86 ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a462) ),
    i_0_205 ).

cnf(c_0_544,negated_conjecture,
    ( epred30_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_476]) ).

cnf(c_0_545,negated_conjecture,
    ( c2_1(a462)
    | ~ hskp0 ),
    i_0_206 ).

cnf(c_0_546,negated_conjecture,
    ( epred8_0
    | hskp8
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_477,c_0_351]) ).

cnf(c_0_547,negated_conjecture,
    ( epred24_0
    | hskp14
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_548,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a494) ),
    i_0_133 ).

cnf(c_0_549,negated_conjecture,
    ( c0_1(a494)
    | ~ hskp18 ),
    i_0_135 ).

cnf(c_0_550,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a494) ),
    i_0_134 ).

cnf(c_0_551,negated_conjecture,
    ( epred4_0
    | epred3_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_552,negated_conjecture,
    ( hskp13
    | hskp16
    | hskp26 ),
    i_0_8 ).

cnf(c_0_553,negated_conjecture,
    ( epred16_0
    | epred1_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_471,c_0_482]) ).

cnf(c_0_554,negated_conjecture,
    ( epred6_0
    | c2_1(a481)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_422]),c_0_423]) ).

cnf(c_0_555,negated_conjecture,
    ( epred47_0
    | epred24_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_418]),c_0_419]) ).

cnf(c_0_556,negated_conjecture,
    ( epred47_0
    | epred24_0
    | hskp14
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_484,c_0_479]) ).

cnf(c_0_557,negated_conjecture,
    ( c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_50 ).

cnf(c_0_558,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | c3_1(X3)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    i_0_60 ).

cnf(c_0_559,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X1) ),
    i_0_75 ).

cnf(c_0_560,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X3)
    | c3_1(X1)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    i_0_70 ).

cnf(c_0_561,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_52 ).

cnf(c_0_562,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    i_0_22 ).

cnf(c_0_563,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    i_0_37 ).

cnf(c_0_564,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    i_0_58 ).

cnf(c_0_565,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    i_0_59 ).

cnf(c_0_566,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_63 ).

cnf(c_0_567,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    i_0_46 ).

cnf(c_0_568,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    i_0_47 ).

cnf(c_0_569,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_45 ).

cnf(c_0_570,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    i_0_33 ).

cnf(c_0_571,negated_conjecture,
    ( c0_1(a507)
    | hskp17
    | hskp7
    | epred31_0
    | hskp14
    | ~ c2_1(a507)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_572,negated_conjecture,
    ( epred16_0
    | c1_1(a507)
    | epred31_0
    | hskp14
    | ~ c2_1(a507)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_399,c_0_486]) ).

cnf(c_0_573,negated_conjecture,
    ( epred36_0
    | epred29_0
    | hskp13
    | ~ c1_1(a483)
    | ~ c2_1(a483)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_355,c_0_487]) ).

cnf(c_0_574,negated_conjecture,
    ( epred27_0
    | epred1_0
    | hskp10
    | epred29_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_488,c_0_489]) ).

cnf(c_0_575,negated_conjecture,
    ( epred27_0
    | epred15_0
    | c2_1(a470)
    | c0_1(a470)
    | hskp10
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_576,negated_conjecture,
    ( epred38_0
    | epred24_0
    | epred9_0
    | ~ epred52_0
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_577,negated_conjecture,
    ( epred41_0
    | epred27_0
    | hskp10
    | epred9_0
    | epred1_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_494,c_0_467]) ).

cnf(c_0_578,negated_conjecture,
    ( c3_1(a478)
    | hskp18
    | hskp17
    | epred53_0
    | ~ c2_1(a478)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_495,c_0_496]) ).

cnf(c_0_579,negated_conjecture,
    ( epred28_0
    | epred3_0
    | epred1_0
    | ~ hskp24
    | ~ c0_1(a525) ),
    inference(spm,[status(thm)],[c_0_497,c_0_498]) ).

cnf(c_0_580,negated_conjecture,
    ( epred28_0
    | epred1_0
    | c2_1(a471)
    | ~ hskp7
    | ~ c0_1(a471) ),
    inference(spm,[status(thm)],[c_0_499,c_0_365]) ).

cnf(c_0_581,negated_conjecture,
    ( epred26_0
    | epred1_0
    | c2_1(a471)
    | ~ hskp7
    | ~ c0_1(a471) ),
    inference(spm,[status(thm)],[c_0_500,c_0_365]) ).

cnf(c_0_582,negated_conjecture,
    ( epred37_0
    | c1_1(a467)
    | hskp12
    | epred3_0
    | ~ c0_1(a467)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_501,c_0_502]) ).

cnf(c_0_583,negated_conjecture,
    ( c2_1(a466)
    | c0_1(a466)
    | hskp2
    | hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_503,c_0_504]) ).

cnf(c_0_584,negated_conjecture,
    ( c3_1(a462)
    | c1_1(a462)
    | hskp18
    | hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_505,c_0_506]) ).

cnf(c_0_585,negated_conjecture,
    ( c2_1(a482)
    | c0_1(a482)
    | hskp12
    | hskp5
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_507,c_0_375]) ).

cnf(c_0_586,negated_conjecture,
    ( c3_1(a463)
    | c0_1(a463)
    | hskp16
    | hskp7
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_508,c_0_463]) ).

cnf(c_0_587,negated_conjecture,
    ( c3_1(a478)
    | c0_1(a478)
    | hskp16
    | hskp7
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_508,c_0_435]) ).

cnf(c_0_588,negated_conjecture,
    ( epred47_0
    | epred43_0
    | c0_1(a483)
    | hskp16
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_509,c_0_418]) ).

cnf(c_0_589,negated_conjecture,
    ( c3_1(a463)
    | c1_1(a463)
    | hskp30
    | hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_510,c_0_463]) ).

cnf(c_0_590,negated_conjecture,
    ( c0_1(a483)
    | hskp30
    | hskp1
    | ~ c2_1(a483)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_511,c_0_418]) ).

cnf(c_0_591,negated_conjecture,
    ( c0_1(a545)
    | hskp30
    | hskp1
    | ~ c2_1(a545)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_511,c_0_405]) ).

cnf(c_0_592,negated_conjecture,
    ( c0_1(a493)
    | hskp18
    | hskp6
    | ~ c2_1(a493)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_593,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_594,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_516,c_0_515]) ).

cnf(c_0_595,negated_conjecture,
    ( hskp24
    | hskp10
    | epred10_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_517,c_0_461]) ).

cnf(c_0_596,negated_conjecture,
    ( hskp24
    | hskp10
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_597,negated_conjecture,
    ( hskp25
    | hskp14
    | epred53_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_519,c_0_434]) ).

cnf(c_0_598,negated_conjecture,
    ( hskp25
    | hskp14
    | epred10_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_519,c_0_461]) ).

cnf(c_0_599,negated_conjecture,
    ( hskp25
    | hskp14
    | ~ c2_1(a488)
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_519,c_0_518]) ).

cnf(c_0_600,negated_conjecture,
    ( epred59_0
    | c0_1(a477)
    | ~ c2_1(a477)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_520,c_0_473]) ).

cnf(c_0_601,negated_conjecture,
    ( epred59_0
    | c0_1(a493)
    | ~ c2_1(a493)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_520,c_0_513]) ).

cnf(c_0_602,negated_conjecture,
    ( epred49_0
    | c1_1(a463)
    | c0_1(a463)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_460,c_0_521]) ).

cnf(c_0_603,negated_conjecture,
    ( epred47_0
    | c0_1(a481)
    | ~ hskp12
    | ~ c1_1(a481) ),
    inference(spm,[status(thm)],[c_0_424,c_0_369]) ).

cnf(c_0_604,negated_conjecture,
    ( epred43_0
    | c0_1(a488)
    | hskp16
    | ~ c1_1(a488)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_445,c_0_518]) ).

cnf(c_0_605,negated_conjecture,
    ( epred42_0
    | c3_1(a463)
    | hskp7
    | ~ c0_1(a463)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_522,c_0_463]) ).

cnf(c_0_606,negated_conjecture,
    ( epred37_0
    | c1_1(a463)
    | hskp12
    | ~ c0_1(a463)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_501,c_0_463]) ).

cnf(c_0_607,negated_conjecture,
    ( epred36_0
    | epred28_0
    | epred7_0
    | epred2_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_523,c_0_524]) ).

cnf(c_0_608,negated_conjecture,
    ( epred31_0
    | epred10_0
    | hskp14
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_525,c_0_526]) ).

cnf(c_0_609,negated_conjecture,
    ( epred31_0
    | epred2_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_523,c_0_527]) ).

cnf(c_0_610,negated_conjecture,
    ( epred41_0
    | epred24_0
    | epred9_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_528,c_0_529]) ).

cnf(c_0_611,negated_conjecture,
    ( epred38_0
    | epred27_0
    | hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_380,c_0_431]) ).

cnf(c_0_612,negated_conjecture,
    ( epred27_0
    | c2_1(a545)
    | hskp10
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_404]),c_0_406]) ).

cnf(c_0_613,negated_conjecture,
    ( epred28_0
    | epred9_0
    | epred1_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_530,c_0_467]) ).

cnf(c_0_614,negated_conjecture,
    ( epred53_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_434]),c_0_463]),c_0_462]) ).

cnf(c_0_615,negated_conjecture,
    ( epred53_0
    | ~ c2_1(a466)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_434]),c_0_503]) ).

cnf(c_0_616,negated_conjecture,
    ( epred52_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_415]),c_0_416]) ).

cnf(c_0_617,negated_conjecture,
    ( epred51_0
    | hskp12
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_618,negated_conjecture,
    ( epred51_0
    | ~ c0_1(a477)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_473]),c_0_475]) ).

cnf(c_0_619,negated_conjecture,
    ( epred51_0
    | ~ c0_1(a482)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_375]),c_0_372]) ).

cnf(c_0_620,negated_conjecture,
    ( epred48_0
    | epred2_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_536,c_0_537]) ).

cnf(c_0_621,negated_conjecture,
    ( epred41_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_538]),c_0_539]),c_0_497]) ).

cnf(c_0_622,negated_conjecture,
    ( epred38_0
    | epred16_0
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_535]),c_0_541]) ).

cnf(c_0_623,negated_conjecture,
    ( epred36_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_518]),c_0_542]),c_0_515]) ).

cnf(c_0_624,negated_conjecture,
    ( epred30_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_506]),c_0_545]) ).

cnf(c_0_625,negated_conjecture,
    ( epred28_0
    | epred8_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_530,c_0_546]) ).

cnf(c_0_626,negated_conjecture,
    ( epred28_0
    | c2_1(a545)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_404]),c_0_405]) ).

cnf(c_0_627,negated_conjecture,
    ( epred26_0
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_518]),c_0_515]) ).

cnf(c_0_628,negated_conjecture,
    ( epred24_0
    | c0_1(a488)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_518]),c_0_515]) ).

cnf(c_0_629,negated_conjecture,
    ( epred24_0
    | epred2_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_523,c_0_547]) ).

cnf(c_0_630,negated_conjecture,
    ( epred3_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_331]),c_0_549]),c_0_550]) ).

cnf(c_0_631,negated_conjecture,
    ( epred4_0
    | epred3_0
    | hskp16
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_551,c_0_552]) ).

cnf(c_0_632,negated_conjecture,
    ( epred16_0
    | epred1_0
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_535]),c_0_541]) ).

cnf(c_0_633,negated_conjecture,
    ( epred6_0
    | epred2_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_536,c_0_554]) ).

cnf(c_0_634,negated_conjecture,
    ( epred4_0
    | ~ c0_1(a488)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_515]),c_0_542]) ).

cnf(c_0_635,negated_conjecture,
    ( epred2_0
    | c0_1(a488)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_515]),c_0_542]) ).

cnf(c_0_636,negated_conjecture,
    ( epred47_0
    | epred24_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_555,c_0_556]) ).

cnf(c_0_637,negated_conjecture,
    ( epred47_0
    | epred24_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_422]),c_0_423]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ epred59_0
    | ~ epred26_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_557,c_0_453]),c_0_386]),c_0_368]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ epred53_0
    | ~ epred47_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_558,c_0_341]),c_0_385]),c_0_339]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ epred51_0
    | ~ epred49_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_454]),c_0_397]),c_0_329]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ epred48_0
    | ~ epred47_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_560,c_0_341]),c_0_398]),c_0_411]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ epred43_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_561,c_0_387]),c_0_336]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ epred42_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_455]),c_0_336]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ epred38_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_563,c_0_438]),c_0_325]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ epred31_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_564,c_0_370]),c_0_329]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ epred30_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_371]),c_0_476]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_566,c_0_342]),c_0_337]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ epred16_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_567,c_0_376]),c_0_366]) ).

cnf(c_0_649,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_568,c_0_328]),c_0_393]) ).

cnf(c_0_650,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_569,c_0_338]),c_0_367]) ).

cnf(c_0_651,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_326]),c_0_368]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a493) ),
    i_0_137 ).

cnf(c_0_653,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a470) ),
    i_0_181 ).

cnf(c_0_654,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a470) ),
    i_0_183 ).

cnf(c_0_655,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a467) ),
    i_0_186 ).

cnf(c_0_656,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a466) ),
    i_0_191 ).

cnf(c_0_657,negated_conjecture,
    ( c2_1(a493)
    | ~ hskp17 ),
    i_0_139 ).

cnf(c_0_658,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_526,c_0_609,c_0_527,c_0_610,c_0_611,c_0_612,c_0_426,c_0_488,c_0_613,c_0_383,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_384,c_0_622,c_0_623,c_0_624,c_0_625,c_0_530,c_0_626,c_0_627,c_0_628,c_0_629,c_0_547,c_0_478,c_0_630,c_0_631,c_0_632,c_0_525,c_0_633,c_0_634,c_0_523,c_0_635,c_0_395,c_0_510,c_0_519,c_0_636,c_0_637,c_0_501,c_0_468,c_0_461,c_0_638,c_0_639,c_0_492,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_651,c_0_528,c_0_406,c_0_532,c_0_416,c_0_652,c_0_419,c_0_373,c_0_423,c_0_433,c_0_464,c_0_354,c_0_653,c_0_654,c_0_655,c_0_656,c_0_460,c_0_462,c_0_543,c_0_422,c_0_515,c_0_418,c_0_542,c_0_415,c_0_657,c_0_457,c_0_435,c_0_474,c_0_545,c_0_539,c_0_353,c_0_440,c_0_506,c_0_322]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN505+1 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 14:26:59 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 16.94/3.61  # ENIGMATIC: Solved by autoschedule:
% 16.94/3.61  # No SInE strategy applied
% 16.94/3.61  # Trying AutoSched0 for 150 seconds
% 16.94/3.61  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 16.94/3.61  # and selection function SelectMaxLComplexAvoidPosPred.
% 16.94/3.61  #
% 16.94/3.61  # Preprocessing time       : 0.028 s
% 16.94/3.61  # SatCheck found unsatisfiable ground set
% 16.94/3.61  
% 16.94/3.61  # Proof found!
% 16.94/3.61  # SZS status Theorem
% 16.94/3.61  # SZS output start CNFRefutation
% See solution above
% 16.94/3.61  # Training examples: 0 positive, 0 negative
% 16.94/3.61  
% 16.94/3.61  # -------------------------------------------------
% 16.94/3.61  # User time                : 1.161 s
% 16.94/3.61  # System time              : 0.041 s
% 16.94/3.61  # Total time               : 1.202 s
% 16.94/3.61  # Maximum resident set size: 7116 pages
% 16.94/3.61  
%------------------------------------------------------------------------------