TSTP Solution File: SYN510+1 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN510+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 04:54:18 EDT 2022

% Result   : Theorem 14.48s 3.21s
% Output   : CNFRefutation 14.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  106
% Syntax   : Number of formulae    :  325 (   2 unt;   0 def)
%            Number of atoms       : 1139 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1336 ( 522   ~; 793   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   48 (  47 usr;  44 prp; 0-1 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  123 (   1 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_28,negated_conjecture,
    ( hskp3
    | hskp6
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_28) ).

cnf(i_0_31,negated_conjecture,
    ( hskp3
    | hskp6
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_31) ).

cnf(i_0_200,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_200) ).

cnf(i_0_3,negated_conjecture,
    ( hskp2
    | hskp6
    | hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_3) ).

cnf(i_0_184,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_184) ).

cnf(i_0_104,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_104) ).

cnf(i_0_50,negated_conjecture,
    ( hskp3
    | hskp16
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_50) ).

cnf(i_0_143,negated_conjecture,
    ( c1_1(a570)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_143) ).

cnf(i_0_142,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a570) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_142) ).

cnf(i_0_111,negated_conjecture,
    ( c1_1(a590)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_111) ).

cnf(i_0_109,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a590) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_109) ).

cnf(i_0_8,negated_conjecture,
    ( hskp6
    | hskp13
    | hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_8) ).

cnf(i_0_183,negated_conjecture,
    ( c3_1(a546)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_183) ).

cnf(i_0_182,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a546) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_182) ).

cnf(i_0_181,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a546) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_181) ).

cnf(i_0_193,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a539) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    ( c0_1(a539)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_195) ).

cnf(i_0_194,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a539) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_194) ).

cnf(i_0_153,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a565) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_153) ).

cnf(i_0_81,negated_conjecture,
    ( c3_1(a563)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_81) ).

cnf(i_0_83,negated_conjecture,
    ( c0_1(a563)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_83) ).

cnf(i_0_82,negated_conjecture,
    ( c1_1(a563)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_82) ).

cnf(i_0_134,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a573) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_134) ).

cnf(i_0_135,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a573) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_135) ).

cnf(i_0_133,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a573) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_133) ).

cnf(i_0_56,negated_conjecture,
    ( hskp0
    | hskp30
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_56) ).

cnf(i_0_166,negated_conjecture,
    ( c3_1(a551)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_166) ).

cnf(i_0_165,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a551) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_165) ).

cnf(i_0_167,negated_conjecture,
    ( c1_1(a551)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_167) ).

cnf(i_0_13,negated_conjecture,
    ( hskp10
    | hskp16
    | hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_13) ).

cnf(i_0_5,negated_conjecture,
    ( hskp3
    | hskp18
    | hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_5) ).

cnf(i_0_34,negated_conjecture,
    ( hskp21
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_34) ).

cnf(i_0_199,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a538) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_199) ).

cnf(i_0_198,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a538) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_198) ).

cnf(i_0_119,negated_conjecture,
    ( c3_1(a584)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_119) ).

cnf(i_0_118,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a584) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_118) ).

cnf(i_0_71,negated_conjecture,
    ( hskp2
    | hskp5
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_71) ).

cnf(i_0_63,negated_conjecture,
    ( hskp11
    | hskp29
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_63) ).

cnf(i_0_29,negated_conjecture,
    ( hskp0
    | hskp15
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_29) ).

cnf(i_0_27,negated_conjecture,
    ( hskp12
    | hskp21
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_27) ).

cnf(i_0_24,negated_conjecture,
    ( hskp14
    | hskp21
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_24) ).

cnf(i_0_205,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a536) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_205) ).

cnf(i_0_207,negated_conjecture,
    ( c0_1(a536)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_207) ).

cnf(i_0_206,negated_conjecture,
    ( c2_1(a536)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_206) ).

cnf(i_0_122,negated_conjecture,
    ( c3_1(a582)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_122) ).

cnf(i_0_123,negated_conjecture,
    ( c2_1(a582)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_123) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a582) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_121) ).

cnf(i_0_85,negated_conjecture,
    ( c3_1(a562)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_85) ).

cnf(i_0_86,negated_conjecture,
    ( c2_1(a562)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_86) ).

cnf(i_0_35,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_35) ).

cnf(i_0_197,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a538) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_197) ).

cnf(i_0_186,negated_conjecture,
    ( c1_1(a544)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_186) ).

cnf(i_0_187,negated_conjecture,
    ( c0_1(a544)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_187) ).

cnf(i_0_185,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a544) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_185) ).

cnf(i_0_158,negated_conjecture,
    ( c3_1(a564)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_158) ).

cnf(i_0_159,negated_conjecture,
    ( c0_1(a564)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_159) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a587) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_113) ).

cnf(i_0_114,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a587) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_114) ).

cnf(i_0_154,negated_conjecture,
    ( c3_1(a565)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_154) ).

cnf(i_0_163,negated_conjecture,
    ( c1_1(a553)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_163) ).

cnf(i_0_157,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a564) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_157) ).

cnf(i_0_146,negated_conjecture,
    ( c1_1(a567)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_146) ).

cnf(i_0_147,negated_conjecture,
    ( c0_1(a567)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_147) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a567) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_145) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a553) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_161) ).

cnf(i_0_87,negated_conjecture,
    ( c1_1(a562)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_87) ).

cnf(i_0_117,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a584) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_117) ).

cnf(i_0_150,negated_conjecture,
    ( c3_1(a566)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_150) ).

cnf(i_0_151,negated_conjecture,
    ( c2_1(a566)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_151) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a566) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_149) ).

cnf(i_0_89,negated_conjecture,
    ( c3_1(a552)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_89) ).

cnf(i_0_91,negated_conjecture,
    ( c0_1(a552)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_91) ).

cnf(i_0_90,negated_conjecture,
    ( c2_1(a552)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_90) ).

cnf(i_0_1,negated_conjecture,
    ( hskp21
    | hskp22
    | hskp23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_1) ).

cnf(i_0_36,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_36) ).

cnf(i_0_65,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_65) ).

cnf(i_0_73,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_73) ).

cnf(i_0_66,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_66) ).

cnf(i_0_57,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_57) ).

cnf(i_0_78,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_78) ).

cnf(i_0_77,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_77) ).

cnf(i_0_80,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_80) ).

cnf(i_0_162,negated_conjecture,
    ( c3_1(a553)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_162) ).

cnf(i_0_155,negated_conjecture,
    ( c0_1(a565)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_155) ).

cnf(i_0_7,negated_conjecture,
    ( hskp6
    | hskp13
    | hskp14 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7utxqdk5/input.p',i_0_7) ).

cnf(c_0_293,negated_conjecture,
    ( hskp3
    | hskp6
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_28 ).

cnf(c_0_294,negated_conjecture,
    ( hskp3
    | hskp6
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_31 ).

cnf(c_0_295,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    i_0_200 ).

cnf(c_0_296,negated_conjecture,
    ( hskp2
    | hskp6
    | hskp26 ),
    i_0_3 ).

cnf(c_0_297,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    i_0_184 ).

cnf(c_0_298,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    i_0_104 ).

cnf(c_0_299,negated_conjecture,
    ( c2_1(X1)
    | hskp6
    | hskp3
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[c_0_293,c_0_294]) ).

cnf(c_0_300,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]),c_0_298]) ).

fof(c_0_301,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_302,negated_conjecture,
    ( hskp3
    | hskp16
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    i_0_50 ).

cnf(c_0_303,negated_conjecture,
    ( c2_1(X1)
    | hskp6
    | hskp3
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_300])]) ).

cnf(c_0_304,negated_conjecture,
    ( c1_1(a570)
    | ~ hskp16 ),
    i_0_143 ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a570) ),
    i_0_142 ).

cnf(c_0_306,negated_conjecture,
    ( epred6_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_301]) ).

cnf(c_0_307,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp16
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_300])]) ).

cnf(c_0_308,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]) ).

cnf(c_0_309,negated_conjecture,
    ( c1_1(a590)
    | ~ hskp24 ),
    i_0_111 ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a590) ),
    i_0_109 ).

fof(c_0_311,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_312,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_313,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | hskp6
    | hskp3
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_303,c_0_306]) ).

cnf(c_0_314,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_307]),c_0_308]) ).

cnf(c_0_315,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_309]),c_0_310]) ).

cnf(c_0_316,negated_conjecture,
    ( hskp6
    | hskp13
    | hskp24 ),
    i_0_8 ).

fof(c_0_317,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_318,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp3
        | c0_1(X1)
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_319,plain,
    ( ~ epred49_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_320,negated_conjecture,
    ( epred39_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_311]) ).

cnf(c_0_321,negated_conjecture,
    ( c3_1(a546)
    | ~ hskp6 ),
    i_0_183 ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a546) ),
    i_0_182 ).

cnf(c_0_323,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a546) ),
    i_0_181 ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a539) ),
    i_0_193 ).

cnf(c_0_325,negated_conjecture,
    ( epred1_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_312]),c_0_300])]) ).

cnf(c_0_326,negated_conjecture,
    ( c0_1(a539)
    | ~ hskp3 ),
    i_0_195 ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a539) ),
    i_0_194 ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a565) ),
    i_0_153 ).

cnf(c_0_329,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_330,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

cnf(c_0_331,negated_conjecture,
    ( epred2_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_317]) ).

cnf(c_0_332,negated_conjecture,
    ( c3_1(a563)
    | ~ hskp31 ),
    i_0_81 ).

cnf(c_0_333,negated_conjecture,
    ( c0_1(a563)
    | ~ hskp31 ),
    i_0_83 ).

cnf(c_0_334,negated_conjecture,
    ( c1_1(a563)
    | ~ hskp31 ),
    i_0_82 ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a573) ),
    i_0_134 ).

cnf(c_0_336,negated_conjecture,
    ( epred5_0
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_318]),c_0_300])]) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a573) ),
    i_0_135 ).

cnf(c_0_338,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a573) ),
    i_0_133 ).

fof(c_0_339,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_340,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_341,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp0
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_342,negated_conjecture,
    ( hskp0
    | hskp30
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_56 ).

fof(c_0_343,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_344,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( hskp2
        | c0_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_345,plain,
    ( ~ epred55_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_346,negated_conjecture,
    ( epred49_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_319]) ).

cnf(c_0_347,negated_conjecture,
    ( epred39_0
    | ~ c2_1(a546)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]) ).

cnf(c_0_348,negated_conjecture,
    ( epred6_0
    | c2_1(a546)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_306]),c_0_321]) ).

cnf(c_0_349,negated_conjecture,
    ( epred1_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]),c_0_327]) ).

cnf(c_0_350,negated_conjecture,
    ( epred6_0
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]) ).

cnf(c_0_351,negated_conjecture,
    ( c3_1(a551)
    | ~ hskp10 ),
    i_0_166 ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a551) ),
    i_0_165 ).

cnf(c_0_353,negated_conjecture,
    ( c1_1(a551)
    | ~ hskp10 ),
    i_0_167 ).

cnf(c_0_354,negated_conjecture,
    ( epred2_0
    | ~ c2_1(a563)
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).

cnf(c_0_355,negated_conjecture,
    ( c2_1(a563)
    | hskp6
    | hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_303,c_0_334]) ).

cnf(c_0_356,negated_conjecture,
    ( hskp10
    | hskp16
    | hskp31 ),
    i_0_13 ).

cnf(c_0_357,negated_conjecture,
    ( epred5_0
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]),c_0_338]) ).

cnf(c_0_358,negated_conjecture,
    ( hskp3
    | hskp18
    | hskp24 ),
    i_0_5 ).

fof(c_0_359,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_360,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_361,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_362,plain,
    ( ~ epred45_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_363,negated_conjecture,
    ( epred29_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_339]) ).

cnf(c_0_364,negated_conjecture,
    ( epred4_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_340]) ).

cnf(c_0_365,negated_conjecture,
    ( hskp21
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_34 ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a538) ),
    i_0_199 ).

cnf(c_0_367,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a538) ),
    i_0_198 ).

cnf(c_0_368,negated_conjecture,
    ( epred3_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_341]),c_0_300])]) ).

cnf(c_0_369,negated_conjecture,
    ( c3_1(a584)
    | ~ hskp22 ),
    i_0_119 ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a584) ),
    i_0_118 ).

cnf(c_0_371,negated_conjecture,
    ( hskp2
    | hskp5
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_71 ).

cnf(c_0_372,negated_conjecture,
    ( c0_1(X1)
    | hskp30
    | hskp0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_300])]) ).

cnf(c_0_373,negated_conjecture,
    ( epred48_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_343]),c_0_300])]) ).

cnf(c_0_374,negated_conjecture,
    ( hskp11
    | hskp29
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_63 ).

cnf(c_0_375,negated_conjecture,
    ( hskp0
    | hskp15
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    i_0_29 ).

cnf(c_0_376,negated_conjecture,
    ( hskp12
    | hskp21
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_27 ).

cnf(c_0_377,negated_conjecture,
    ( hskp14
    | hskp21
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_24 ).

fof(c_0_378,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_379,plain,
    ( ~ epred43_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c1_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_380,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( hskp6
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_381,negated_conjecture,
    ( epred14_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_344]),c_0_300])]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a536) ),
    i_0_205 ).

cnf(c_0_383,negated_conjecture,
    ( epred55_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_345]) ).

cnf(c_0_384,negated_conjecture,
    ( c0_1(a536)
    | ~ hskp0 ),
    i_0_207 ).

cnf(c_0_385,negated_conjecture,
    ( c2_1(a536)
    | ~ hskp0 ),
    i_0_206 ).

fof(c_0_386,plain,
    ( ~ epred53_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_387,negated_conjecture,
    ( c3_1(a582)
    | ~ hskp21 ),
    i_0_122 ).

cnf(c_0_388,negated_conjecture,
    ( c2_1(a582)
    | ~ hskp21 ),
    i_0_123 ).

cnf(c_0_389,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a582) ),
    i_0_121 ).

cnf(c_0_390,negated_conjecture,
    ( epred49_0
    | ~ c2_1(a546)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_346]),c_0_322]) ).

cnf(c_0_391,negated_conjecture,
    ( epred49_0
    | ~ c2_1(a573)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_346]),c_0_337]) ).

cnf(c_0_392,negated_conjecture,
    ( c2_1(a573)
    | hskp6
    | hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_338,c_0_314]) ).

fof(c_0_393,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_394,negated_conjecture,
    ( c3_1(a562)
    | ~ hskp30 ),
    i_0_85 ).

cnf(c_0_395,negated_conjecture,
    ( c2_1(a562)
    | ~ hskp30 ),
    i_0_86 ).

cnf(c_0_396,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    i_0_35 ).

cnf(c_0_397,negated_conjecture,
    ( epred39_0
    | epred6_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_398,negated_conjecture,
    ( epred6_0
    | epred1_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_399,negated_conjecture,
    ( epred39_0
    | ~ c2_1(a551)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_351]),c_0_352]) ).

cnf(c_0_400,negated_conjecture,
    ( c2_1(a551)
    | hskp6
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_303,c_0_353]) ).

cnf(c_0_401,negated_conjecture,
    ( epred2_0
    | hskp6
    | hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_402,negated_conjecture,
    ( hskp31
    | hskp10
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_308,c_0_356]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a538) ),
    i_0_197 ).

cnf(c_0_404,negated_conjecture,
    ( epred5_0
    | hskp24
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_405,negated_conjecture,
    ( epred15_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_359]) ).

cnf(c_0_406,negated_conjecture,
    ( c1_1(a544)
    | ~ hskp5 ),
    i_0_186 ).

cnf(c_0_407,negated_conjecture,
    ( c0_1(a544)
    | ~ hskp5 ),
    i_0_187 ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a544) ),
    i_0_185 ).

cnf(c_0_409,negated_conjecture,
    ( c3_1(a564)
    | ~ hskp12 ),
    i_0_158 ).

cnf(c_0_410,negated_conjecture,
    ( c0_1(a564)
    | ~ hskp12 ),
    i_0_159 ).

cnf(c_0_411,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_360]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a587) ),
    i_0_113 ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a587) ),
    i_0_114 ).

cnf(c_0_414,negated_conjecture,
    ( epred52_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_361]),c_0_300])]) ).

cnf(c_0_415,negated_conjecture,
    ( epred45_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_362]) ).

cnf(c_0_416,negated_conjecture,
    ( epred29_0
    | epred4_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_363,c_0_364]) ).

cnf(c_0_417,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp22
    | hskp21
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_300])]) ).

cnf(c_0_418,negated_conjecture,
    ( epred4_0
    | c0_1(a538)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_364]),c_0_367]) ).

cnf(c_0_419,negated_conjecture,
    ( epred3_0
    | c1_1(a584)
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).

cnf(c_0_420,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp5
    | hskp2
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_300])]) ).

cnf(c_0_421,negated_conjecture,
    ( epred48_0
    | c0_1(X1)
    | hskp30
    | hskp0
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_372,c_0_373]) ).

cnf(c_0_422,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp29
    | hskp11
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_300])]) ).

cnf(c_0_423,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_300])]) ).

cnf(c_0_424,negated_conjecture,
    ( c3_1(a565)
    | ~ hskp13 ),
    i_0_154 ).

cnf(c_0_425,negated_conjecture,
    ( c1_1(a553)
    | ~ hskp11 ),
    i_0_163 ).

cnf(c_0_426,negated_conjecture,
    ( c3_1(X1)
    | hskp21
    | hskp12
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_300])]) ).

cnf(c_0_427,negated_conjecture,
    ( c3_1(X1)
    | hskp21
    | hskp14
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_300])]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a564) ),
    i_0_157 ).

cnf(c_0_429,negated_conjecture,
    ( epred54_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_378]),c_0_300])]) ).

cnf(c_0_430,negated_conjecture,
    ( epred43_0
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_379]),c_0_300])]) ).

cnf(c_0_431,negated_conjecture,
    ( epred28_0
    | c2_1(X1)
    | hskp6
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_300])]) ).

cnf(c_0_432,negated_conjecture,
    ( c1_1(a567)
    | ~ hskp15 ),
    i_0_146 ).

cnf(c_0_433,negated_conjecture,
    ( c0_1(a567)
    | ~ hskp15 ),
    i_0_147 ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a567) ),
    i_0_145 ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a553) ),
    i_0_161 ).

cnf(c_0_436,negated_conjecture,
    ( epred14_0
    | c2_1(a546)
    | hskp2
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_381]),c_0_322]) ).

cnf(c_0_437,negated_conjecture,
    ( epred55_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]),c_0_385]) ).

cnf(c_0_438,negated_conjecture,
    ( epred3_0
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_321]),c_0_322]),c_0_323]) ).

cnf(c_0_439,negated_conjecture,
    ( epred53_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_386]) ).

cnf(c_0_440,negated_conjecture,
    ( c1_1(a562)
    | ~ hskp30 ),
    i_0_87 ).

cnf(c_0_441,negated_conjecture,
    ( epred2_0
    | ~ c0_1(a582)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_387]),c_0_388]) ).

cnf(c_0_442,negated_conjecture,
    ( epred49_0
    | c0_1(a582)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_346]),c_0_388]) ).

cnf(c_0_443,negated_conjecture,
    ( epred49_0
    | epred6_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_390,c_0_348]) ).

cnf(c_0_444,negated_conjecture,
    ( epred4_0
    | c2_1(a546)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_364]),c_0_322]) ).

cnf(c_0_445,negated_conjecture,
    ( epred49_0
    | hskp6
    | hskp3
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_391,c_0_392]) ).

cnf(c_0_446,negated_conjecture,
    ( epred44_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_393]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a584) ),
    i_0_117 ).

cnf(c_0_448,negated_conjecture,
    ( c3_1(a566)
    | ~ hskp14 ),
    i_0_150 ).

cnf(c_0_449,negated_conjecture,
    ( c2_1(a566)
    | ~ hskp14 ),
    i_0_151 ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a566) ),
    i_0_149 ).

cnf(c_0_451,negated_conjecture,
    ( epred39_0
    | c0_1(a582)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_387]),c_0_388]) ).

cnf(c_0_452,negated_conjecture,
    ( epred2_0
    | ~ c0_1(a562)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_394]),c_0_395]) ).

cnf(c_0_453,negated_conjecture,
    ( epred39_0
    | c0_1(a562)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_394]),c_0_395]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_396,c_0_312]),c_0_317]) ).

cnf(c_0_455,negated_conjecture,
    ( epred39_0
    | epred6_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_456,negated_conjecture,
    ( epred39_0
    | hskp6
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_457,negated_conjecture,
    ( epred2_0
    | hskp10
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_458,negated_conjecture,
    ( epred1_0
    | ~ c0_1(a538)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_325]),c_0_367]) ).

cnf(c_0_459,negated_conjecture,
    ( epred5_0
    | c0_1(a538)
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_336]),c_0_403]) ).

cnf(c_0_460,negated_conjecture,
    ( epred5_0
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_315,c_0_404]) ).

cnf(c_0_461,negated_conjecture,
    ( epred15_0
    | ~ c2_1(a544)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_407]) ).

cnf(c_0_462,negated_conjecture,
    ( epred1_0
    | c2_1(a544)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_325]),c_0_407]) ).

cnf(c_0_463,negated_conjecture,
    ( epred2_0
    | ~ c2_1(a564)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_409]),c_0_410]) ).

cnf(c_0_464,negated_conjecture,
    ( epred10_0
    | c2_1(a564)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_409]),c_0_410]) ).

cnf(c_0_465,negated_conjecture,
    ( c3_1(a552)
    | ~ hskp29 ),
    i_0_89 ).

cnf(c_0_466,negated_conjecture,
    ( c0_1(a552)
    | ~ hskp29 ),
    i_0_91 ).

cnf(c_0_467,negated_conjecture,
    ( c2_1(a552)
    | ~ hskp29 ),
    i_0_90 ).

cnf(c_0_468,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_314]),c_0_413]) ).

cnf(c_0_469,negated_conjecture,
    ( hskp21
    | hskp22
    | hskp23 ),
    i_0_1 ).

cnf(c_0_470,negated_conjecture,
    ( epred52_0
    | epred4_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_364]) ).

cnf(c_0_471,negated_conjecture,
    ( epred45_0
    | epred4_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_415,c_0_364]) ).

cnf(c_0_472,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X3) ),
    i_0_36 ).

cnf(c_0_473,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    i_0_65 ).

cnf(c_0_474,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    i_0_73 ).

cnf(c_0_475,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    i_0_66 ).

cnf(c_0_476,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    i_0_57 ).

cnf(c_0_477,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    i_0_78 ).

cnf(c_0_478,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    i_0_77 ).

cnf(c_0_479,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_80 ).

cnf(c_0_480,negated_conjecture,
    ( epred29_0
    | epred4_0
    | c2_1(a584)
    | c0_1(a584)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_416,c_0_369]) ).

cnf(c_0_481,negated_conjecture,
    ( c3_1(a538)
    | c2_1(a538)
    | hskp22
    | hskp21
    | epred4_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_417,c_0_418]) ).

cnf(c_0_482,negated_conjecture,
    ( c0_1(a584)
    | hskp30
    | hskp0
    | epred3_0
    | ~ c3_1(a584)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_372,c_0_419]) ).

cnf(c_0_483,negated_conjecture,
    ( epred52_0
    | c2_1(a584)
    | c0_1(a584)
    | epred3_0
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_414,c_0_419]) ).

cnf(c_0_484,negated_conjecture,
    ( c1_1(a546)
    | c0_1(a546)
    | hskp5
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_420,c_0_321]) ).

cnf(c_0_485,negated_conjecture,
    ( epred48_0
    | c0_1(a584)
    | hskp30
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_421,c_0_369]) ).

cnf(c_0_486,negated_conjecture,
    ( c2_1(a584)
    | c0_1(a584)
    | hskp29
    | hskp11
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_422,c_0_369]) ).

cnf(c_0_487,negated_conjecture,
    ( c3_1(a539)
    | c2_1(a539)
    | hskp22
    | hskp21
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_417,c_0_326]) ).

cnf(c_0_488,negated_conjecture,
    ( c2_1(a565)
    | hskp15
    | hskp0
    | ~ c0_1(a565)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_423,c_0_424]) ).

cnf(c_0_489,negated_conjecture,
    ( c0_1(a553)
    | hskp30
    | hskp0
    | ~ c3_1(a553)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_372,c_0_425]) ).

cnf(c_0_490,negated_conjecture,
    ( c3_1(a536)
    | hskp21
    | hskp12
    | ~ c0_1(a536)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_426,c_0_385]) ).

cnf(c_0_491,negated_conjecture,
    ( c3_1(a536)
    | hskp21
    | hskp14
    | ~ c0_1(a536)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_427,c_0_385]) ).

cnf(c_0_492,negated_conjecture,
    ( epred54_0
    | ~ hskp12
    | ~ c3_1(a564)
    | ~ c0_1(a564) ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_493,negated_conjecture,
    ( epred48_0
    | c0_1(a582)
    | ~ hskp21
    | ~ c3_1(a582) ),
    inference(spm,[status(thm)],[c_0_389,c_0_373]) ).

cnf(c_0_494,negated_conjecture,
    ( epred48_0
    | c0_1(a546)
    | ~ hskp6
    | ~ c3_1(a546) ),
    inference(spm,[status(thm)],[c_0_323,c_0_373]) ).

cnf(c_0_495,negated_conjecture,
    ( epred43_0
    | c3_1(a538)
    | ~ hskp2
    | ~ c0_1(a538) ),
    inference(spm,[status(thm)],[c_0_366,c_0_430]) ).

cnf(c_0_496,negated_conjecture,
    ( epred28_0
    | hskp6
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_433]),c_0_434]) ).

cnf(c_0_497,negated_conjecture,
    ( epred28_0
    | hskp6
    | ~ c0_1(a553)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_425]),c_0_435]) ).

cnf(c_0_498,negated_conjecture,
    ( epred49_0
    | epred14_0
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_390,c_0_436]) ).

cnf(c_0_499,negated_conjecture,
    ( epred39_0
    | epred14_0
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_347,c_0_436]) ).

cnf(c_0_500,negated_conjecture,
    ( epred55_0
    | epred3_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_437,c_0_438]) ).

cnf(c_0_501,negated_conjecture,
    ( epred53_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_395]),c_0_394]) ).

cnf(c_0_502,negated_conjecture,
    ( epred49_0
    | epred2_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_503,negated_conjecture,
    ( epred49_0
    | epred6_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_398]) ).

cnf(c_0_504,negated_conjecture,
    ( epred49_0
    | epred4_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_390,c_0_444]) ).

cnf(c_0_505,negated_conjecture,
    ( epred49_0
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_358]),c_0_315]) ).

cnf(c_0_506,negated_conjecture,
    ( epred44_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_369]),c_0_370]),c_0_447]) ).

cnf(c_0_507,negated_conjecture,
    ( epred39_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_448]),c_0_449]),c_0_450]) ).

cnf(c_0_508,negated_conjecture,
    ( epred39_0
    | epred2_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_441,c_0_451]) ).

cnf(c_0_509,negated_conjecture,
    ( epred39_0
    | epred2_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_510,negated_conjecture,
    ( epred39_0
    | epred6_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_455]) ).

cnf(c_0_511,negated_conjecture,
    ( epred39_0
    | epred4_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_347,c_0_444]) ).

cnf(c_0_512,negated_conjecture,
    ( epred39_0
    | epred2_0
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_456,c_0_457]) ).

cnf(c_0_513,negated_conjecture,
    ( epred5_0
    | epred1_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_349]) ).

cnf(c_0_514,negated_conjecture,
    ( epred5_0
    | epred1_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_349,c_0_460]) ).

cnf(c_0_515,negated_conjecture,
    ( epred15_0
    | epred1_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_516,negated_conjecture,
    ( epred10_0
    | epred2_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_463,c_0_464]) ).

cnf(c_0_517,negated_conjecture,
    ( epred2_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_465]),c_0_466]),c_0_467]) ).

cnf(c_0_518,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_468,c_0_469]) ).

cnf(c_0_519,negated_conjecture,
    ( epred52_0
    | epred4_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_470]),c_0_370]) ).

cnf(c_0_520,negated_conjecture,
    ( epred45_0
    | epred4_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_471]),c_0_370]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ epred55_0
    | ~ epred54_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_378]),c_0_345]),c_0_360]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ epred53_0
    | ~ epred52_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_473,c_0_361]),c_0_311]),c_0_386]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ epred49_0
    | ~ epred48_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_343]),c_0_319]),c_0_311]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ epred45_0
    | ~ epred44_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_475,c_0_379]),c_0_393]),c_0_362]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_380]),c_0_339]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_344]),c_0_359]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_318]),c_0_301]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_341]),c_0_340]) ).

cnf(c_0_529,negated_conjecture,
    ( c3_1(a553)
    | ~ hskp11 ),
    i_0_162 ).

cnf(c_0_530,negated_conjecture,
    ( c0_1(a565)
    | ~ hskp13 ),
    i_0_155 ).

cnf(c_0_531,negated_conjecture,
    ( hskp6
    | hskp13
    | hskp14 ),
    i_0_7 ).

cnf(c_0_532,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_437,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_438,c_0_418,c_0_517,c_0_441,c_0_398,c_0_518,c_0_426,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_454,c_0_447,c_0_370,c_0_328,c_0_323,c_0_322,c_0_324,c_0_327,c_0_403,c_0_367,c_0_382,c_0_369,c_0_529,c_0_321,c_0_387,c_0_409,c_0_385,c_0_530,c_0_410,c_0_384,c_0_531]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN510+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 00:58:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 14.48/3.21  # ENIGMATIC: Solved by autoschedule:
% 14.48/3.21  # No SInE strategy applied
% 14.48/3.21  # Trying AutoSched0 for 150 seconds
% 14.48/3.21  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 14.48/3.21  # and selection function SelectMaxLComplexAvoidPosPred.
% 14.48/3.21  #
% 14.48/3.21  # Preprocessing time       : 0.027 s
% 14.48/3.21  # SatCheck found unsatisfiable ground set
% 14.48/3.21  
% 14.48/3.21  # Proof found!
% 14.48/3.21  # SZS status Theorem
% 14.48/3.21  # SZS output start CNFRefutation
% See solution above
% 14.48/3.21  # Training examples: 0 positive, 0 negative
% 14.48/3.21  
% 14.48/3.21  # -------------------------------------------------
% 14.48/3.21  # User time                : 0.974 s
% 14.48/3.21  # System time              : 0.028 s
% 14.48/3.21  # Total time               : 1.001 s
% 14.48/3.21  # Maximum resident set size: 7124 pages
% 14.48/3.21  
%------------------------------------------------------------------------------