TSTP Solution File: SYN443+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN443+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 04:53:21 EDT 2022

% Result   : Theorem 14.60s 3.29s
% Output   : CNFRefutation 14.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  161
% Syntax   : Number of formulae    :  572 (   2 unt;   0 def)
%            Number of atoms       : 2114 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2466 ( 924   ~;1502   |;   0   &)
%                                         (  40 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   73 (  72 usr;  69 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  27 con; 0-0 aty)
%            Number of variables   :  226 (   0 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_140,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_140) ).

cnf(i_0_6,negated_conjecture,
    ( hskp11
    | hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_6) ).

cnf(i_0_96,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_96) ).

cnf(i_0_54,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_54) ).

cnf(i_0_61,negated_conjecture,
    ( c3_1(a33)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_61) ).

cnf(i_0_62,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_62) ).

cnf(i_0_63,negated_conjecture,
    ( c0_1(a33)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_63) ).

cnf(i_0_85,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_85) ).

cnf(i_0_87,negated_conjecture,
    ( c0_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_87) ).

cnf(i_0_93,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_93) ).

cnf(i_0_95,negated_conjecture,
    ( c2_1(a43)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_95) ).

cnf(i_0_94,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_94) ).

cnf(i_0_147,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_147) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_146) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_145) ).

cnf(i_0_69,negated_conjecture,
    ( c3_1(a15)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_69) ).

cnf(i_0_70,negated_conjecture,
    ( c1_1(a15)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_70) ).

cnf(i_0_71,negated_conjecture,
    ( c0_1(a15)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_71) ).

cnf(i_0_138,negated_conjecture,
    ( c1_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_138) ).

cnf(i_0_137,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_137) ).

cnf(i_0_139,negated_conjecture,
    ( c0_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_139) ).

cnf(i_0_141,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_141) ).

cnf(i_0_142,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_142) ).

cnf(i_0_143,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a18) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_143) ).

cnf(i_0_115,negated_conjecture,
    ( c3_1(a32)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_115) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_113) ).

cnf(i_0_114,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_114) ).

cnf(i_0_178,negated_conjecture,
    ( c3_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_178) ).

cnf(i_0_179,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_179) ).

cnf(i_0_177,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_177) ).

cnf(i_0_90,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_90) ).

cnf(i_0_91,negated_conjecture,
    ( c0_1(a52)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_91) ).

cnf(i_0_2,negated_conjecture,
    ( hskp2
    | hskp23
    | hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_2) ).

cnf(i_0_10,negated_conjecture,
    ( hskp1
    | hskp9
    | hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_10) ).

cnf(i_0_105,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_105) ).

cnf(i_0_107,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_107) ).

cnf(i_0_106,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_106) ).

cnf(i_0_166,negated_conjecture,
    ( c3_1(a5)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_166) ).

cnf(i_0_167,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_167) ).

cnf(i_0_165,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_165) ).

cnf(i_0_66,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_66) ).

cnf(i_0_65,negated_conjecture,
    ( c2_1(a25)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_65) ).

cnf(i_0_67,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_67) ).

cnf(i_0_111,negated_conjecture,
    ( c3_1(a34)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_111) ).

cnf(i_0_110,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_110) ).

cnf(i_0_109,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_109) ).

cnf(i_0_73,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_73) ).

cnf(i_0_75,negated_conjecture,
    ( c1_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_75) ).

cnf(i_0_74,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_74) ).

cnf(i_0_4,negated_conjecture,
    ( hskp7
    | hskp27
    | hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_4) ).

cnf(i_0_131,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_131) ).

cnf(i_0_130,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_130) ).

cnf(i_0_33,negated_conjecture,
    ( hskp18
    | hskp30
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_33) ).

cnf(i_0_47,negated_conjecture,
    ( hskp27
    | hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_47) ).

cnf(i_0_5,negated_conjecture,
    ( hskp2
    | hskp18
    | hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_5) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_173) ).

cnf(i_0_174,negated_conjecture,
    ( c2_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_174) ).

cnf(i_0_175,negated_conjecture,
    ( c0_1(a3)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_175) ).

cnf(i_0_3,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_3) ).

cnf(i_0_86,negated_conjecture,
    ( c3_1(a58)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_86) ).

cnf(i_0_155,negated_conjecture,
    ( c1_1(a9)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_155) ).

cnf(i_0_153,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_153) ).

cnf(i_0_154,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_154) ).

cnf(i_0_89,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_89) ).

cnf(i_0_17,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_17) ).

cnf(i_0_122,negated_conjecture,
    ( c1_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_122) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_121) ).

cnf(i_0_151,negated_conjecture,
    ( c1_1(a11)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_151) ).

cnf(i_0_150,negated_conjecture,
    ( c2_1(a11)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_150) ).

cnf(i_0_53,negated_conjecture,
    ( hskp0
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_53) ).

cnf(i_0_52,negated_conjecture,
    ( hskp6
    | hskp7
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_52) ).

cnf(i_0_51,negated_conjecture,
    ( hskp8
    | hskp27
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_51) ).

cnf(i_0_18,negated_conjecture,
    ( hskp0
    | hskp1
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_18) ).

cnf(i_0_19,negated_conjecture,
    ( hskp2
    | hskp23
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_19) ).

cnf(i_0_13,negated_conjecture,
    ( hskp14
    | hskp18
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_13) ).

cnf(i_0_12,negated_conjecture,
    ( hskp25
    | hskp27
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_12) ).

cnf(i_0_9,negated_conjecture,
    ( hskp7
    | hskp9
    | hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_9) ).

cnf(i_0_22,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_22) ).

cnf(i_0_183,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_183) ).

cnf(i_0_182,negated_conjecture,
    ( c2_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_182) ).

cnf(i_0_181,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_181) ).

cnf(i_0_48,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_48) ).

cnf(i_0_38,negated_conjecture,
    ( hskp4
    | hskp15
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_38) ).

cnf(i_0_117,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a31) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_117) ).

cnf(i_0_119,negated_conjecture,
    ( c2_1(a31)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_119) ).

cnf(i_0_171,negated_conjecture,
    ( c3_1(a4)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_171) ).

cnf(i_0_82,negated_conjecture,
    ( c3_1(a64)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_82) ).

cnf(i_0_126,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_126) ).

cnf(i_0_125,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_125) ).

cnf(i_0_127,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_127) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_161) ).

cnf(i_0_162,negated_conjecture,
    ( c2_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_162) ).

cnf(i_0_163,negated_conjecture,
    ( c0_1(a6)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_163) ).

cnf(i_0_159,negated_conjecture,
    ( c0_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_159) ).

cnf(i_0_158,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_158) ).

cnf(i_0_157,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_157) ).

cnf(i_0_11,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_11) ).

cnf(i_0_37,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_37) ).

cnf(i_0_39,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_39) ).

cnf(i_0_58,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_58) ).

cnf(i_0_20,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_20) ).

cnf(i_0_25,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_25) ).

cnf(i_0_21,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_21) ).

cnf(i_0_45,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_45) ).

cnf(i_0_15,negated_conjecture,
    ( hskp24
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_15) ).

cnf(i_0_23,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_23) ).

cnf(i_0_27,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_27) ).

cnf(i_0_28,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_28) ).

cnf(i_0_46,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_46) ).

cnf(i_0_55,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_55) ).

cnf(i_0_57,negated_conjecture,
    ( hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_57) ).

cnf(i_0_42,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_42) ).

cnf(i_0_34,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_34) ).

cnf(i_0_56,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_56) ).

cnf(i_0_81,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_81) ).

cnf(i_0_118,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a31) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_118) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a11) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_149) ).

cnf(i_0_170,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_170) ).

cnf(i_0_169,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_169) ).

cnf(i_0_123,negated_conjecture,
    ( c0_1(a27)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_123) ).

cnf(i_0_83,negated_conjecture,
    ( c1_1(a64)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cycj0m0q/input.p',i_0_83) ).

cnf(c_0_305,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    i_0_140 ).

cnf(c_0_306,negated_conjecture,
    ( hskp11
    | hskp22 ),
    i_0_6 ).

cnf(c_0_307,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    i_0_96 ).

fof(c_0_308,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_309,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_310,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).

fof(c_0_311,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_312,negated_conjecture,
    ( epred32_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_308]) ).

cnf(c_0_313,negated_conjecture,
    ( epred37_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_309]),c_0_310])]) ).

fof(c_0_314,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_315,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( hskp22
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_316,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_317,plain,
    ( ~ epred43_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_318,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_319,plain,
    ( ~ epred48_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c2_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_320,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_321,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    i_0_54 ).

fof(c_0_322,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( hskp10
        | c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_323,plain,
    ( ~ epred46_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_324,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( hskp22
        | c1_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_325,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( hskp0
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_326,negated_conjecture,
    ( epred34_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_311]) ).

cnf(c_0_327,negated_conjecture,
    ( c3_1(a33)
    | ~ hskp30 ),
    i_0_61 ).

cnf(c_0_328,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp30 ),
    i_0_62 ).

cnf(c_0_329,negated_conjecture,
    ( c0_1(a33)
    | ~ hskp30 ),
    i_0_63 ).

cnf(c_0_330,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    i_0_85 ).

cnf(c_0_331,negated_conjecture,
    ( epred37_0
    | epred32_0
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_332,negated_conjecture,
    ( c0_1(a58)
    | ~ hskp24 ),
    i_0_87 ).

fof(c_0_333,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_334,plain,
    ( ~ epred39_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c3_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_335,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_336,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a43) ),
    i_0_93 ).

cnf(c_0_338,negated_conjecture,
    ( epred42_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_314]),c_0_310])]) ).

cnf(c_0_339,negated_conjecture,
    ( c2_1(a43)
    | ~ hskp22 ),
    i_0_95 ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a43) ),
    i_0_94 ).

cnf(c_0_341,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp22
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_315]),c_0_310])]) ).

cnf(c_0_342,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp9 ),
    i_0_147 ).

cnf(c_0_343,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a12) ),
    i_0_146 ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a12) ),
    i_0_145 ).

cnf(c_0_345,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_316]),c_0_310])]) ).

cnf(c_0_346,negated_conjecture,
    ( c3_1(a15)
    | ~ hskp28 ),
    i_0_69 ).

cnf(c_0_347,negated_conjecture,
    ( c1_1(a15)
    | ~ hskp28 ),
    i_0_70 ).

cnf(c_0_348,negated_conjecture,
    ( c0_1(a15)
    | ~ hskp28 ),
    i_0_71 ).

fof(c_0_349,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( hskp1
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_350,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_351,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_352,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_353,plain,
    ( ~ epred45_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_354,negated_conjecture,
    ( c1_1(a19)
    | ~ hskp11 ),
    i_0_138 ).

cnf(c_0_355,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    i_0_137 ).

cnf(c_0_356,negated_conjecture,
    ( epred43_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_317]),c_0_310])]) ).

cnf(c_0_357,negated_conjecture,
    ( c0_1(a19)
    | ~ hskp11 ),
    i_0_139 ).

cnf(c_0_358,negated_conjecture,
    ( epred7_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_318]) ).

cnf(c_0_359,negated_conjecture,
    ( epred48_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_319]) ).

fof(c_0_360,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( hskp29
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_361,negated_conjecture,
    ( epred11_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_320]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    i_0_141 ).

cnf(c_0_363,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_310])]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    i_0_142 ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a18) ),
    i_0_143 ).

cnf(c_0_366,negated_conjecture,
    ( epred29_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp10
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_322]),c_0_310])]) ).

cnf(c_0_367,negated_conjecture,
    ( c3_1(a32)
    | ~ hskp17 ),
    i_0_115 ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a32) ),
    i_0_113 ).

cnf(c_0_369,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a32) ),
    i_0_114 ).

cnf(c_0_370,negated_conjecture,
    ( epred46_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_323]) ).

cnf(c_0_371,negated_conjecture,
    ( c3_1(a2)
    | ~ hskp1 ),
    i_0_178 ).

cnf(c_0_372,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp1 ),
    i_0_179 ).

cnf(c_0_373,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp22
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_310])]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    i_0_177 ).

cnf(c_0_375,negated_conjecture,
    ( epred8_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_325]),c_0_310])]) ).

fof(c_0_376,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_377,negated_conjecture,
    ( epred34_0
    | ~ c1_1(a33)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]) ).

cnf(c_0_378,negated_conjecture,
    ( epred32_0
    | c1_1(a33)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_327]),c_0_329]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a52) ),
    i_0_90 ).

cnf(c_0_380,negated_conjecture,
    ( c0_1(a52)
    | ~ hskp23 ),
    i_0_91 ).

cnf(c_0_381,negated_conjecture,
    ( epred37_0
    | epred32_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332]) ).

cnf(c_0_382,negated_conjecture,
    ( hskp2
    | hskp23
    | hskp24 ),
    i_0_2 ).

cnf(c_0_383,negated_conjecture,
    ( epred13_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_333]) ).

cnf(c_0_384,negated_conjecture,
    ( epred39_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_334]),c_0_310])]) ).

cnf(c_0_385,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_335]) ).

cnf(c_0_386,negated_conjecture,
    ( epred5_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_336]) ).

cnf(c_0_387,negated_conjecture,
    ( epred42_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]),c_0_340]) ).

cnf(c_0_388,negated_conjecture,
    ( epred6_0
    | hskp22
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]),c_0_344]) ).

cnf(c_0_389,negated_conjecture,
    ( epred47_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_347]),c_0_348]) ).

cnf(c_0_390,negated_conjecture,
    ( hskp1
    | hskp9
    | hskp28 ),
    i_0_10 ).

fof(c_0_391,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( hskp19
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a36) ),
    i_0_105 ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    i_0_107 ).

cnf(c_0_394,negated_conjecture,
    ( epred10_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_349]),c_0_310])]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a36) ),
    i_0_106 ).

cnf(c_0_396,negated_conjecture,
    ( epred17_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_350]) ).

cnf(c_0_397,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_351]) ).

cnf(c_0_398,negated_conjecture,
    ( epred21_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_352]) ).

cnf(c_0_399,negated_conjecture,
    ( c3_1(a5)
    | ~ hskp4 ),
    i_0_166 ).

cnf(c_0_400,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp4 ),
    i_0_167 ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a5) ),
    i_0_165 ).

fof(c_0_402,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_403,negated_conjecture,
    ( epred45_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_353]),c_0_310])]) ).

cnf(c_0_404,negated_conjecture,
    ( epred6_0
    | c3_1(a19)
    | c2_1(a19)
    | hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_354]),c_0_306]) ).

cnf(c_0_405,negated_conjecture,
    ( epred43_0
    | ~ c2_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]) ).

cnf(c_0_406,negated_conjecture,
    ( epred7_0
    | c2_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_358]),c_0_357]) ).

cnf(c_0_407,negated_conjecture,
    ( epred48_0
    | ~ c2_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_354]),c_0_357]) ).

cnf(c_0_408,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp29 ),
    i_0_66 ).

cnf(c_0_409,negated_conjecture,
    ( c2_1(a25)
    | ~ hskp29 ),
    i_0_65 ).

cnf(c_0_410,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp29 ),
    i_0_67 ).

cnf(c_0_411,negated_conjecture,
    ( epred33_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp29
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_360]),c_0_310])]) ).

cnf(c_0_412,negated_conjecture,
    ( c3_1(a34)
    | ~ hskp18 ),
    i_0_111 ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a34) ),
    i_0_110 ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a34) ),
    i_0_109 ).

cnf(c_0_415,negated_conjecture,
    ( epred48_0
    | epred11_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_359,c_0_361]) ).

cnf(c_0_416,negated_conjecture,
    ( hskp4
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]),c_0_365]) ).

cnf(c_0_417,negated_conjecture,
    ( epred29_0
    | hskp10
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_368]),c_0_369]) ).

cnf(c_0_418,negated_conjecture,
    ( epred46_0
    | ~ c1_1(a2)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_372]) ).

cnf(c_0_419,negated_conjecture,
    ( epred20_0
    | c1_1(a2)
    | hskp22
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_371]),c_0_374]) ).

cnf(c_0_420,negated_conjecture,
    ( epred8_0
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_339]),c_0_340]),c_0_337]) ).

cnf(c_0_421,negated_conjecture,
    ( epred46_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_346]),c_0_347]),c_0_348]) ).

cnf(c_0_422,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_376]) ).

cnf(c_0_423,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp27 ),
    i_0_73 ).

cnf(c_0_424,negated_conjecture,
    ( c1_1(a10)
    | ~ hskp27 ),
    i_0_75 ).

cnf(c_0_425,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp27 ),
    i_0_74 ).

cnf(c_0_426,negated_conjecture,
    ( epred34_0
    | epred32_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_427,negated_conjecture,
    ( hskp7
    | hskp27
    | hskp30 ),
    i_0_4 ).

cnf(c_0_428,negated_conjecture,
    ( epred37_0
    | epred32_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_331]),c_0_380]) ).

cnf(c_0_429,negated_conjecture,
    ( epred37_0
    | epred32_0
    | hskp23
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_430,negated_conjecture,
    ( epred39_0
    | epred13_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_431,negated_conjecture,
    ( epred23_0
    | epred5_0
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_385,c_0_386]) ).

cnf(c_0_432,negated_conjecture,
    ( epred47_0
    | ~ c1_1(a2)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_371]),c_0_372]) ).

cnf(c_0_433,negated_conjecture,
    ( epred23_0
    | c1_1(a2)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_371]),c_0_374]) ).

cnf(c_0_434,negated_conjecture,
    ( epred42_0
    | epred6_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_387,c_0_388]) ).

cnf(c_0_435,negated_conjecture,
    ( epred47_0
    | hskp9
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

fof(c_0_436,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_437,negated_conjecture,
    ( epred36_0
    | c1_1(X1)
    | hskp19
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_391]),c_0_310])]) ).

cnf(c_0_438,negated_conjecture,
    ( epred37_0
    | ~ c0_1(a36)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_313]),c_0_393]) ).

cnf(c_0_439,negated_conjecture,
    ( epred10_0
    | c0_1(a36)
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_395]) ).

fof(c_0_440,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( hskp13
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_441,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    i_0_131 ).

cnf(c_0_442,negated_conjecture,
    ( epred17_0
    | epred10_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_396,c_0_394]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    i_0_130 ).

fof(c_0_444,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_445,plain,
    ( ~ epred41_0
  <=> ! [X3] :
        ( c0_1(X3)
        | ~ c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_446,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( hskp17
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_447,negated_conjecture,
    ( epred17_0
    | epred2_0
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_448,negated_conjecture,
    ( epred21_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_400]),c_0_401]) ).

fof(c_0_449,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_450,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( hskp2
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_451,negated_conjecture,
    ( hskp18
    | hskp30
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    i_0_33 ).

cnf(c_0_452,negated_conjecture,
    ( hskp27
    | hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_47 ).

cnf(c_0_453,negated_conjecture,
    ( epred9_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_402]) ).

cnf(c_0_454,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a15)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_346]),c_0_347]) ).

cnf(c_0_455,negated_conjecture,
    ( epred45_0
    | c2_1(a15)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_347]),c_0_348]) ).

cnf(c_0_456,negated_conjecture,
    ( epred6_0
    | c2_1(a19)
    | hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_404]),c_0_306]) ).

cnf(c_0_457,negated_conjecture,
    ( epred43_0
    | epred7_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_458,negated_conjecture,
    ( epred48_0
    | epred7_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_407,c_0_406]) ).

cnf(c_0_459,negated_conjecture,
    ( epred2_0
    | c0_1(a36)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_397]),c_0_395]) ).

cnf(c_0_460,negated_conjecture,
    ( epred48_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_408]),c_0_409]),c_0_410]) ).

cnf(c_0_461,negated_conjecture,
    ( epred33_0
    | hskp29
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_413]),c_0_414]) ).

cnf(c_0_462,negated_conjecture,
    ( epred48_0
    | epred11_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_329]),c_0_328]) ).

cnf(c_0_463,negated_conjecture,
    ( hskp2
    | hskp18
    | hskp30 ),
    i_0_5 ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    i_0_173 ).

cnf(c_0_465,negated_conjecture,
    ( c2_1(a3)
    | ~ hskp2 ),
    i_0_174 ).

cnf(c_0_466,negated_conjecture,
    ( c0_1(a3)
    | ~ hskp2 ),
    i_0_175 ).

cnf(c_0_467,negated_conjecture,
    ( epred29_0
    | hskp4
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_468,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp30 ),
    i_0_3 ).

cnf(c_0_469,negated_conjecture,
    ( c3_1(a58)
    | ~ hskp24 ),
    i_0_86 ).

fof(c_0_470,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp24
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_471,negated_conjecture,
    ( epred46_0
    | epred20_0
    | hskp22
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_472,negated_conjecture,
    ( epred8_0
    | epred6_0
    | hskp0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_420,c_0_388]) ).

cnf(c_0_473,negated_conjecture,
    ( epred46_0
    | hskp9
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_421,c_0_390]) ).

fof(c_0_474,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( hskp0
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_475,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( hskp3
        | c1_1(X1)
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_476,negated_conjecture,
    ( epred11_0
    | ~ c2_1(a58)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_361]),c_0_332]) ).

cnf(c_0_477,negated_conjecture,
    ( epred40_0
    | c2_1(a58)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_422]),c_0_332]) ).

cnf(c_0_478,negated_conjecture,
    ( c1_1(a9)
    | ~ hskp7 ),
    i_0_155 ).

cnf(c_0_479,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a9) ),
    i_0_153 ).

cnf(c_0_480,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a9) ),
    i_0_154 ).

cnf(c_0_481,negated_conjecture,
    ( epred34_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_423]),c_0_424]),c_0_425]) ).

cnf(c_0_482,negated_conjecture,
    ( epred34_0
    | epred32_0
    | hskp27
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_426,c_0_427]) ).

cnf(c_0_483,negated_conjecture,
    ( epred37_0
    | epred32_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

fof(c_0_484,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_485,negated_conjecture,
    ( epred39_0
    | epred13_0
    | c2_1(a58)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_430,c_0_332]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a52) ),
    i_0_89 ).

cnf(c_0_487,negated_conjecture,
    ( epred23_0
    | epred5_0
    | c2_1(a58)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_330,c_0_431]) ).

cnf(c_0_488,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    i_0_17 ).

cnf(c_0_489,negated_conjecture,
    ( epred47_0
    | epred23_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_490,negated_conjecture,
    ( epred47_0
    | epred42_0
    | epred6_0
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_434,c_0_435]) ).

cnf(c_0_491,negated_conjecture,
    ( epred44_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_436]) ).

cnf(c_0_492,negated_conjecture,
    ( epred36_0
    | hskp19
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_399]),c_0_400]),c_0_401]) ).

cnf(c_0_493,negated_conjecture,
    ( epred37_0
    | epred10_0
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_494,negated_conjecture,
    ( epred37_0
    | ~ c0_1(a43)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_313]),c_0_340]) ).

cnf(c_0_495,negated_conjecture,
    ( c0_1(a43)
    | hskp4
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_363]),c_0_340]) ).

cnf(c_0_496,negated_conjecture,
    ( epred25_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp13
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_440]),c_0_310])]) ).

cnf(c_0_497,negated_conjecture,
    ( epred17_0
    | epred10_0
    | hskp1
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_442]),c_0_443]) ).

cnf(c_0_498,negated_conjecture,
    ( epred18_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp9
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_444]),c_0_310])]) ).

cnf(c_0_499,negated_conjecture,
    ( c1_1(a27)
    | ~ hskp15 ),
    i_0_122 ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a27) ),
    i_0_121 ).

cnf(c_0_501,negated_conjecture,
    ( epred41_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_445]) ).

cnf(c_0_502,negated_conjecture,
    ( c1_1(a11)
    | ~ hskp8 ),
    i_0_151 ).

cnf(c_0_503,negated_conjecture,
    ( c2_1(a11)
    | ~ hskp8 ),
    i_0_150 ).

cnf(c_0_504,negated_conjecture,
    ( epred4_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp17
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_446]),c_0_310])]) ).

cnf(c_0_505,negated_conjecture,
    ( epred17_0
    | epred2_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_447]),c_0_368]) ).

cnf(c_0_506,negated_conjecture,
    ( epred21_0
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_448,c_0_363]) ).

cnf(c_0_507,negated_conjecture,
    ( epred19_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_449]) ).

cnf(c_0_508,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp2
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_450]),c_0_310])]) ).

cnf(c_0_509,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp30
    | hskp18 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_310])]) ).

cnf(c_0_510,negated_conjecture,
    ( hskp0
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_53 ).

cnf(c_0_511,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp28
    | hskp27
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_310])]) ).

cnf(c_0_512,negated_conjecture,
    ( hskp6
    | hskp7
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_52 ).

cnf(c_0_513,negated_conjecture,
    ( hskp8
    | hskp27
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_51 ).

cnf(c_0_514,negated_conjecture,
    ( hskp0
    | hskp1
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_18 ).

cnf(c_0_515,negated_conjecture,
    ( hskp2
    | hskp23
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_19 ).

cnf(c_0_516,negated_conjecture,
    ( hskp14
    | hskp18
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    i_0_13 ).

cnf(c_0_517,negated_conjecture,
    ( hskp25
    | hskp27
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    i_0_12 ).

cnf(c_0_518,negated_conjecture,
    ( epred45_0
    | ~ c0_1(a12)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_342]),c_0_343]) ).

cnf(c_0_519,negated_conjecture,
    ( epred9_0
    | c0_1(a12)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_453]),c_0_342]) ).

cnf(c_0_520,negated_conjecture,
    ( epred45_0
    | epred34_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_454,c_0_455]) ).

cnf(c_0_521,negated_conjecture,
    ( hskp7
    | hskp9
    | hskp28 ),
    i_0_9 ).

cnf(c_0_522,negated_conjecture,
    ( epred43_0
    | epred6_0
    | hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_456]),c_0_306]) ).

cnf(c_0_523,negated_conjecture,
    ( epred43_0
    | epred7_0
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_457,c_0_306]) ).

cnf(c_0_524,negated_conjecture,
    ( epred48_0
    | epred6_0
    | hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_456]),c_0_306]) ).

cnf(c_0_525,negated_conjecture,
    ( epred48_0
    | epred7_0
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_458,c_0_306]) ).

cnf(c_0_526,negated_conjecture,
    ( epred37_0
    | epred2_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_438,c_0_459]) ).

cnf(c_0_527,negated_conjecture,
    ( epred5_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_386]),c_0_393]),c_0_395]) ).

cnf(c_0_528,negated_conjecture,
    ( epred11_0
    | ~ c0_1(a43)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_361]),c_0_339]) ).

cnf(c_0_529,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X3) ),
    i_0_22 ).

cnf(c_0_530,negated_conjecture,
    ( epred48_0
    | epred33_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_460,c_0_461]) ).

cnf(c_0_531,negated_conjecture,
    ( epred48_0
    | epred11_0
    | hskp18
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_462,c_0_463]) ).

cnf(c_0_532,negated_conjecture,
    ( epred11_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_361]),c_0_465]),c_0_466]) ).

fof(c_0_533,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( hskp16
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_534,negated_conjecture,
    ( epred46_0
    | ~ c1_1(a33)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_327]),c_0_329]) ).

cnf(c_0_535,negated_conjecture,
    ( epred21_0
    | c1_1(a33)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_327]),c_0_328]) ).

cnf(c_0_536,negated_conjecture,
    ( epred29_0
    | hskp30
    | hskp27
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_467,c_0_468]) ).

cnf(c_0_537,negated_conjecture,
    ( epred23_0
    | c2_1(a58)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_469]),c_0_330]) ).

cnf(c_0_538,negated_conjecture,
    ( epred26_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp24
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_470]),c_0_310])]) ).

cnf(c_0_539,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    i_0_183 ).

cnf(c_0_540,negated_conjecture,
    ( c2_1(a1)
    | ~ hskp0 ),
    i_0_182 ).

cnf(c_0_541,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    i_0_181 ).

cnf(c_0_542,negated_conjecture,
    ( epred46_0
    | epred20_0
    | epred8_0
    | hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_420,c_0_471]) ).

cnf(c_0_543,negated_conjecture,
    ( epred46_0
    | epred8_0
    | epred6_0
    | hskp1
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_544,negated_conjecture,
    ( epred22_0
    | c3_1(X1)
    | hskp0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_474]),c_0_310])]) ).

cnf(c_0_545,negated_conjecture,
    ( epred20_0
    | c2_1(a58)
    | hskp22
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_469]),c_0_330]) ).

cnf(c_0_546,negated_conjecture,
    ( epred12_0
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_475]),c_0_310])]) ).

cnf(c_0_547,negated_conjecture,
    ( epred40_0
    | epred11_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_476,c_0_477]) ).

cnf(c_0_548,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X1) ),
    i_0_48 ).

cnf(c_0_549,negated_conjecture,
    ( epred17_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_478]),c_0_479]),c_0_480]) ).

cnf(c_0_550,negated_conjecture,
    ( epred34_0
    | epred32_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_481,c_0_482]) ).

cnf(c_0_551,negated_conjecture,
    ( epred37_0
    | epred32_0
    | ~ c0_1(a3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_331]),c_0_483]) ).

cnf(c_0_552,negated_conjecture,
    ( epred30_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_484]) ).

fof(c_0_553,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_554,negated_conjecture,
    ( hskp4
    | hskp15
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    i_0_38 ).

cnf(c_0_555,negated_conjecture,
    ( epred39_0
    | epred13_0
    | epred11_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_476,c_0_485]) ).

cnf(c_0_556,negated_conjecture,
    ( epred39_0
    | epred13_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_380]),c_0_486]) ).

cnf(c_0_557,negated_conjecture,
    ( epred23_0
    | epred11_0
    | epred5_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_476,c_0_487]) ).

cnf(c_0_558,negated_conjecture,
    ( epred23_0
    | epred5_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_431]),c_0_486]) ).

cnf(c_0_559,negated_conjecture,
    ( ~ epred7_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_488,c_0_315]),c_0_318]) ).

cnf(c_0_560,negated_conjecture,
    ( epred47_0
    | epred42_0
    | epred23_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_489,c_0_490]) ).

cnf(c_0_561,negated_conjecture,
    ( epred47_0
    | epred7_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_345,c_0_358]) ).

cnf(c_0_562,negated_conjecture,
    ( epred47_0
    | ~ c1_1(a33)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_327]),c_0_329]) ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a31) ),
    i_0_117 ).

cnf(c_0_564,negated_conjecture,
    ( epred44_0
    | epred42_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_491,c_0_338]) ).

cnf(c_0_565,negated_conjecture,
    ( epred36_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp19
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_363]),c_0_492]) ).

cnf(c_0_566,negated_conjecture,
    ( c2_1(a31)
    | ~ hskp16 ),
    i_0_119 ).

cnf(c_0_567,negated_conjecture,
    ( epred37_0
    | epred36_0
    | epred10_0
    | hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_493,c_0_492]) ).

cnf(c_0_568,negated_conjecture,
    ( epred37_0
    | hskp4
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_494,c_0_495]) ).

cnf(c_0_569,negated_conjecture,
    ( epred25_0
    | epred17_0
    | epred10_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_442]),c_0_497]) ).

cnf(c_0_570,negated_conjecture,
    ( epred18_0
    | c3_1(a52)
    | hskp9
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_380]),c_0_379]) ).

cnf(c_0_571,negated_conjecture,
    ( epred6_0
    | c3_1(a27)
    | hskp22
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_499]),c_0_500]) ).

cnf(c_0_572,negated_conjecture,
    ( epred41_0
    | c0_1(a11)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_503]) ).

cnf(c_0_573,negated_conjecture,
    ( epred17_0
    | epred4_0
    | epred2_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_447]),c_0_505]) ).

cnf(c_0_574,negated_conjecture,
    ( epred4_0
    | c3_1(a52)
    | hskp17
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_380]),c_0_379]) ).

cnf(c_0_575,negated_conjecture,
    ( epred23_0
    | c1_1(a32)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_367]),c_0_368]) ).

cnf(c_0_576,negated_conjecture,
    ( epred21_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_398,c_0_506]) ).

cnf(c_0_577,negated_conjecture,
    ( epred19_0
    | epred9_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_507,c_0_453]) ).

cnf(c_0_578,negated_conjecture,
    ( epred3_0
    | c3_1(a52)
    | hskp2
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_380]),c_0_486]) ).

cnf(c_0_579,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp30
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_385,c_0_509]) ).

cnf(c_0_580,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp5
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_510,c_0_310])]) ).

cnf(c_0_581,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp28
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_511,c_0_397]) ).

cnf(c_0_582,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp7
    | hskp6
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_512,c_0_310])]) ).

cnf(c_0_583,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp27
    | hskp8
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_513,c_0_310])]) ).

cnf(c_0_584,negated_conjecture,
    ( c3_1(a4)
    | ~ hskp3 ),
    i_0_171 ).

cnf(c_0_585,negated_conjecture,
    ( c1_1(X1)
    | hskp1
    | hskp0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_514,c_0_310])]) ).

cnf(c_0_586,negated_conjecture,
    ( c1_1(X1)
    | hskp23
    | hskp2
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_515,c_0_310])]) ).

cnf(c_0_587,negated_conjecture,
    ( c2_1(X1)
    | hskp18
    | hskp14
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_516,c_0_310])]) ).

cnf(c_0_588,negated_conjecture,
    ( c3_1(a64)
    | ~ hskp25 ),
    i_0_82 ).

cnf(c_0_589,negated_conjecture,
    ( c3_1(X1)
    | hskp27
    | hskp25
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_517,c_0_310])]) ).

cnf(c_0_590,negated_conjecture,
    ( epred36_0
    | c1_1(a33)
    | hskp19
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_327]),c_0_328]) ).

cnf(c_0_591,negated_conjecture,
    ( epred47_0
    | ~ c0_1(a10)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_423]),c_0_424]) ).

cnf(c_0_592,negated_conjecture,
    ( epred41_0
    | c0_1(a10)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_424]),c_0_425]) ).

cnf(c_0_593,negated_conjecture,
    ( epred45_0
    | epred9_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_518,c_0_519]) ).

cnf(c_0_594,negated_conjecture,
    ( epred45_0
    | epred34_0
    | hskp9
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_595,negated_conjecture,
    ( epred48_0
    | ~ c2_1(a15)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_347]),c_0_348]) ).

cnf(c_0_596,negated_conjecture,
    ( epred43_0
    | epred42_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_387,c_0_522]) ).

cnf(c_0_597,negated_conjecture,
    ( epred43_0
    | epred42_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_387,c_0_523]) ).

cnf(c_0_598,negated_conjecture,
    ( epred48_0
    | epred42_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_387,c_0_524]) ).

cnf(c_0_599,negated_conjecture,
    ( epred48_0
    | epred42_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_387,c_0_525]) ).

cnf(c_0_600,negated_conjecture,
    ( epred37_0
    | epred36_0
    | epred2_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_526,c_0_492]) ).

cnf(c_0_601,negated_conjecture,
    ( epred36_0
    | epred5_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_527,c_0_492]) ).

cnf(c_0_602,negated_conjecture,
    ( epred11_0
    | hskp4
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_528,c_0_495]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ epred46_0
    | ~ epred45_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_529,c_0_353]),c_0_320]),c_0_323]) ).

cnf(c_0_604,negated_conjecture,
    ( epred48_0
    | epred33_0
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_531]),c_0_532]) ).

cnf(c_0_605,negated_conjecture,
    ( epred31_0
    | c3_1(X1)
    | hskp16
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_533]),c_0_310])]) ).

cnf(c_0_606,negated_conjecture,
    ( epred46_0
    | epred21_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_607,negated_conjecture,
    ( epred29_0
    | epred21_0
    | hskp30
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_448,c_0_536]) ).

cnf(c_0_608,negated_conjecture,
    ( epred23_0
    | epred11_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_476,c_0_537]) ).

cnf(c_0_609,negated_conjecture,
    ( epred26_0
    | hskp24
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_342]),c_0_343]),c_0_344]) ).

cnf(c_0_610,negated_conjecture,
    ( epred41_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_539]),c_0_540]),c_0_541]) ).

cnf(c_0_611,negated_conjecture,
    ( epred46_0
    | epred20_0
    | epred8_0
    | epred6_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_612,negated_conjecture,
    ( epred22_0
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_357]),c_0_354]),c_0_355]) ).

cnf(c_0_613,negated_conjecture,
    ( epred20_0
    | epred11_0
    | hskp22
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_476,c_0_545]) ).

cnf(c_0_614,negated_conjecture,
    ( epred12_0
    | c0_1(a43)
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_546]),c_0_340]) ).

cnf(c_0_615,negated_conjecture,
    ( epred13_0
    | ~ c0_1(a34)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_412]),c_0_414]) ).

cnf(c_0_616,negated_conjecture,
    ( epred10_0
    | c0_1(a34)
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_394]),c_0_414]) ).

cnf(c_0_617,negated_conjecture,
    ( epred13_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_371]),c_0_372]),c_0_374]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a26) ),
    i_0_126 ).

cnf(c_0_619,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a26) ),
    i_0_125 ).

cnf(c_0_620,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a26) ),
    i_0_127 ).

cnf(c_0_621,negated_conjecture,
    ( epred7_0
    | ~ c0_1(a36)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_358]),c_0_395]) ).

cnf(c_0_622,negated_conjecture,
    ( epred48_0
    | ~ c0_1(a10)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_424]),c_0_425]) ).

cnf(c_0_623,negated_conjecture,
    ( epred40_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_422]),c_0_380]),c_0_486]) ).

cnf(c_0_624,negated_conjecture,
    ( epred40_0
    | epred11_0
    | hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_382]),c_0_532]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ epred41_0
    | ~ epred37_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_548,c_0_309]),c_0_350]),c_0_445]) ).

cnf(c_0_626,negated_conjecture,
    ( epred34_0
    | epred32_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_550]) ).

cnf(c_0_627,negated_conjecture,
    ( epred37_0
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_466]),c_0_483]) ).

cnf(c_0_628,negated_conjecture,
    ( epred13_0
    | c2_1(a15)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_346]),c_0_348]) ).

cnf(c_0_629,negated_conjecture,
    ( epred30_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_327]),c_0_328]),c_0_329]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a6) ),
    i_0_161 ).

cnf(c_0_631,negated_conjecture,
    ( epred27_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_553]) ).

cnf(c_0_632,negated_conjecture,
    ( c2_1(a6)
    | ~ hskp5 ),
    i_0_162 ).

cnf(c_0_633,negated_conjecture,
    ( c0_1(a6)
    | ~ hskp5 ),
    i_0_163 ).

cnf(c_0_634,negated_conjecture,
    ( c0_1(X1)
    | hskp15
    | hskp4
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_554,c_0_310])]) ).

cnf(c_0_635,negated_conjecture,
    ( epred7_0
    | ~ c0_1(a12)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_358]),c_0_343]) ).

cnf(c_0_636,negated_conjecture,
    ( epred17_0
    | c0_1(a12)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_342]),c_0_343]) ).

cnf(c_0_637,negated_conjecture,
    ( c0_1(a8)
    | ~ hskp6 ),
    i_0_159 ).

cnf(c_0_638,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    i_0_158 ).

cnf(c_0_639,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a8) ),
    i_0_157 ).

cnf(c_0_640,negated_conjecture,
    ( epred39_0
    | epred13_0
    | epred11_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_382]),c_0_556]) ).

cnf(c_0_641,negated_conjecture,
    ( epred23_0
    | epred11_0
    | epred5_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_382]),c_0_558]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    i_0_11 ).

cnf(c_0_643,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X2) ),
    i_0_37 ).

cnf(c_0_644,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    i_0_39 ).

cnf(c_0_645,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1) ),
    i_0_58 ).

cnf(c_0_646,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_20 ).

cnf(c_0_647,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_25 ).

cnf(c_0_648,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    i_0_21 ).

cnf(c_0_649,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_45 ).

cnf(c_0_650,negated_conjecture,
    ( hskp24
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    i_0_15 ).

cnf(c_0_651,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    i_0_23 ).

cnf(c_0_652,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1) ),
    i_0_27 ).

cnf(c_0_653,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    i_0_28 ).

cnf(c_0_654,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X2) ),
    i_0_46 ).

cnf(c_0_655,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    i_0_55 ).

cnf(c_0_656,negated_conjecture,
    ( hskp1
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    i_0_57 ).

cnf(c_0_657,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    i_0_42 ).

cnf(c_0_658,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_34 ).

cnf(c_0_659,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    i_0_56 ).

cnf(c_0_660,negated_conjecture,
    ( epred47_0
    | epred42_0
    | epred23_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_661,negated_conjecture,
    ( epred47_0
    | epred7_0
    | c2_1(a27)
    | ~ c0_1(a27)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_561,c_0_499]) ).

cnf(c_0_662,negated_conjecture,
    ( epred47_0
    | epred11_0
    | ~ hskp30
    | ~ c0_1(a33)
    | ~ c2_1(a33) ),
    inference(spm,[status(thm)],[c_0_562,c_0_361]) ).

cnf(c_0_663,negated_conjecture,
    ( epred44_0
    | epred42_0
    | c0_1(a31)
    | ~ hskp16
    | ~ c2_1(a31) ),
    inference(spm,[status(thm)],[c_0_563,c_0_564]) ).

cnf(c_0_664,negated_conjecture,
    ( epred36_0
    | c0_1(a31)
    | c1_1(a31)
    | hskp19
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_565,c_0_566]) ).

cnf(c_0_665,negated_conjecture,
    ( epred36_0
    | c0_1(a43)
    | c1_1(a43)
    | hskp19
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_565,c_0_339]) ).

cnf(c_0_666,negated_conjecture,
    ( epred37_0
    | epred36_0
    | epred10_0
    | hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_567,c_0_568]) ).

cnf(c_0_667,negated_conjecture,
    ( epred25_0
    | epred17_0
    | epred10_0
    | c2_1(a12)
    | hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_344,c_0_569]) ).

cnf(c_0_668,negated_conjecture,
    ( epred25_0
    | epred17_0
    | epred10_0
    | c2_1(a36)
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_392,c_0_569]) ).

cnf(c_0_669,negated_conjecture,
    ( epred23_0
    | c2_1(a52)
    | c1_1(a52)
    | epred18_0
    | hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_385,c_0_570]) ).

cnf(c_0_670,negated_conjecture,
    ( epred47_0
    | epred6_0
    | hskp22
    | ~ c0_1(a27)
    | ~ c1_1(a27)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_345,c_0_571]) ).

cnf(c_0_671,negated_conjecture,
    ( epred22_0
    | c3_1(a11)
    | hskp0
    | epred41_0
    | ~ c1_1(a11)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_544,c_0_572]) ).

cnf(c_0_672,negated_conjecture,
    ( epred17_0
    | epred4_0
    | epred2_0
    | c2_1(a36)
    | c1_1(a36)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_392,c_0_573]) ).

cnf(c_0_673,negated_conjecture,
    ( epred34_0
    | epred11_0
    | ~ hskp30
    | ~ c0_1(a33)
    | ~ c2_1(a33) ),
    inference(spm,[status(thm)],[c_0_377,c_0_361]) ).

cnf(c_0_674,negated_conjecture,
    ( epred23_0
    | c2_1(a52)
    | c1_1(a52)
    | epred4_0
    | hskp17
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_385,c_0_574]) ).

cnf(c_0_675,negated_conjecture,
    ( c0_1(a32)
    | c2_1(a32)
    | hskp28
    | hskp27
    | epred23_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_511,c_0_575]) ).

cnf(c_0_676,negated_conjecture,
    ( epred21_0
    | c0_1(a31)
    | ~ hskp16
    | ~ c2_1(a31) ),
    inference(spm,[status(thm)],[c_0_563,c_0_576]) ).

cnf(c_0_677,negated_conjecture,
    ( epred19_0
    | epred9_0
    | c0_1(a9)
    | c2_1(a9)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_577,c_0_478]) ).

cnf(c_0_678,negated_conjecture,
    ( epred20_0
    | c2_1(a52)
    | c1_1(a52)
    | hskp22
    | epred3_0
    | hskp2
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_373,c_0_578]) ).

cnf(c_0_679,negated_conjecture,
    ( epred22_0
    | c3_1(a12)
    | hskp0
    | epred9_0
    | ~ c1_1(a12)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_544,c_0_519]) ).

cnf(c_0_680,negated_conjecture,
    ( epred4_0
    | c3_1(a36)
    | c1_1(a36)
    | hskp17
    | epred2_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_504,c_0_459]) ).

cnf(c_0_681,negated_conjecture,
    ( epred23_0
    | c2_1(a52)
    | hskp30
    | hskp18
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_379,c_0_579]) ).

cnf(c_0_682,negated_conjecture,
    ( c0_1(a43)
    | c1_1(a43)
    | hskp5
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_580,c_0_339]) ).

cnf(c_0_683,negated_conjecture,
    ( epred2_0
    | c2_1(a32)
    | hskp28
    | hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_369,c_0_581]) ).

cnf(c_0_684,negated_conjecture,
    ( c0_1(a5)
    | c1_1(a5)
    | hskp7
    | hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_582,c_0_399]) ).

cnf(c_0_685,negated_conjecture,
    ( c0_1(a4)
    | c1_1(a4)
    | hskp27
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_583,c_0_584]) ).

cnf(c_0_686,negated_conjecture,
    ( c0_1(a9)
    | c2_1(a9)
    | hskp28
    | hskp27
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_511,c_0_478]) ).

cnf(c_0_687,negated_conjecture,
    ( c0_1(a12)
    | c2_1(a12)
    | hskp28
    | hskp27
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_511,c_0_342]) ).

cnf(c_0_688,negated_conjecture,
    ( c1_1(a33)
    | hskp1
    | hskp0
    | ~ c2_1(a33)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_585,c_0_327]) ).

cnf(c_0_689,negated_conjecture,
    ( c1_1(a5)
    | hskp23
    | hskp2
    | ~ c2_1(a5)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_586,c_0_399]) ).

cnf(c_0_690,negated_conjecture,
    ( c2_1(a64)
    | hskp18
    | hskp14
    | ~ c1_1(a64)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_587,c_0_588]) ).

cnf(c_0_691,negated_conjecture,
    ( c3_1(a1)
    | hskp27
    | hskp25
    | ~ c1_1(a1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_589,c_0_540]) ).

cnf(c_0_692,negated_conjecture,
    ( epred47_0
    | epred36_0
    | hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_562,c_0_590]) ).

cnf(c_0_693,negated_conjecture,
    ( epred47_0
    | epred41_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_591,c_0_592]) ).

cnf(c_0_694,negated_conjecture,
    ( epred45_0
    | epred34_0
    | epred9_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_593,c_0_594]) ).

cnf(c_0_695,negated_conjecture,
    ( epred48_0
    | epred45_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_595,c_0_455]) ).

cnf(c_0_696,negated_conjecture,
    ( epred43_0
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_596]),c_0_597]) ).

cnf(c_0_697,negated_conjecture,
    ( epred48_0
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_598]),c_0_599]) ).

cnf(c_0_698,negated_conjecture,
    ( epred37_0
    | epred36_0
    | epred2_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_600,c_0_568]) ).

cnf(c_0_699,negated_conjecture,
    ( epred36_0
    | epred11_0
    | epred5_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_601,c_0_602]) ).

cnf(c_0_700,negated_conjecture,
    ( epred46_0
    | epred36_0
    | hskp19
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_534,c_0_590]) ).

cnf(c_0_701,negated_conjecture,
    ( epred48_0
    | epred33_0
    | ~ epred46_0
    | ~ epred45_0 ),
    inference(spm,[status(thm)],[c_0_603,c_0_604]) ).

cnf(c_0_702,negated_conjecture,
    ( epred31_0
    | hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_357]),c_0_354]),c_0_355]) ).

cnf(c_0_703,negated_conjecture,
    ( epred46_0
    | epred29_0
    | epred21_0
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_606,c_0_607]) ).

cnf(c_0_704,negated_conjecture,
    ( epred26_0
    | epred23_0
    | epred11_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_608,c_0_609]) ).

cnf(c_0_705,negated_conjecture,
    ( epred46_0
    | epred41_0
    | epred20_0
    | epred8_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_610,c_0_611]) ).

cnf(c_0_706,negated_conjecture,
    ( epred22_0
    | hskp0
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_612,c_0_306]) ).

cnf(c_0_707,negated_conjecture,
    ( epred20_0
    | epred11_0
    | hskp23
    | hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_382]),c_0_532]) ).

cnf(c_0_708,negated_conjecture,
    ( epred20_0
    | hskp22
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_412]),c_0_413]),c_0_414]) ).

cnf(c_0_709,negated_conjecture,
    ( epred12_0
    | epred11_0
    | hskp3
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_528,c_0_614]) ).

cnf(c_0_710,negated_conjecture,
    ( epred13_0
    | epred10_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_616]),c_0_617]) ).

cnf(c_0_711,negated_conjecture,
    ( epred10_0
    | hskp1
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_394]),c_0_619]),c_0_620]) ).

cnf(c_0_712,negated_conjecture,
    ( epred10_0
    | epred7_0
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_621,c_0_439]) ).

cnf(c_0_713,negated_conjecture,
    ( epred48_0
    | epred41_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_622,c_0_592]) ).

cnf(c_0_714,negated_conjecture,
    ( epred46_0
    | hskp9
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_421,c_0_521]) ).

cnf(c_0_715,negated_conjecture,
    ( epred46_0
    | epred23_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_418,c_0_433]) ).

cnf(c_0_716,negated_conjecture,
    ( epred40_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_623,c_0_624]) ).

cnf(c_0_717,negated_conjecture,
    ( epred34_0
    | epred32_0
    | ~ epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_626]),c_0_627]) ).

cnf(c_0_718,negated_conjecture,
    ( epred34_0
    | epred13_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_454,c_0_628]) ).

cnf(c_0_719,negated_conjecture,
    ( epred30_0
    | hskp27
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_629,c_0_427]) ).

cnf(c_0_720,negated_conjecture,
    ( epred27_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_631]),c_0_632]),c_0_633]) ).

cnf(c_0_721,negated_conjecture,
    ( epred21_0
    | c0_1(X1)
    | hskp15
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_576]),c_0_448]) ).

cnf(c_0_722,negated_conjecture,
    ( epred23_0
    | epred11_0
    | hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_382]),c_0_532]) ).

cnf(c_0_723,negated_conjecture,
    ( epred23_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_412]),c_0_413]),c_0_414]) ).

cnf(c_0_724,negated_conjecture,
    ( epred17_0
    | epred7_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_635,c_0_636]) ).

cnf(c_0_725,negated_conjecture,
    ( epred3_0
    | hskp2
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_637]),c_0_638]),c_0_639]) ).

cnf(c_0_726,negated_conjecture,
    ( epred39_0
    | epred13_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_532,c_0_640]) ).

cnf(c_0_727,negated_conjecture,
    ( epred23_0
    | epred11_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_532,c_0_641]) ).

cnf(c_0_728,negated_conjecture,
    ( epred11_0
    | ~ c0_1(a5)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_361]),c_0_400]) ).

cnf(c_0_729,negated_conjecture,
    ( epred2_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_397]),c_0_619]),c_0_620]) ).

cnf(c_0_730,negated_conjecture,
    ( ~ epred48_0
    | ~ epred47_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_642,c_0_316]),c_0_311]),c_0_319]) ).

cnf(c_0_731,negated_conjecture,
    ( ~ epred44_0
    | ~ epred43_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_317]),c_0_436]),c_0_320]) ).

cnf(c_0_732,negated_conjecture,
    ( ~ epred42_0
    | ~ epred41_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_644,c_0_314]),c_0_445]),c_0_333]) ).

cnf(c_0_733,negated_conjecture,
    ( ~ epred40_0
    | ~ epred39_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_645,c_0_334]),c_0_351]),c_0_376]) ).

cnf(c_0_734,negated_conjecture,
    ( ~ epred36_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_646,c_0_391]),c_0_311]) ).

cnf(c_0_735,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_647,c_0_360]),c_0_311]) ).

cnf(c_0_736,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_648,c_0_533]),c_0_308]) ).

cnf(c_0_737,negated_conjecture,
    ( ~ epred30_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_649,c_0_322]),c_0_484]) ).

cnf(c_0_738,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_650,c_0_470]),c_0_553]) ).

cnf(c_0_739,negated_conjecture,
    ( ~ epred25_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_651,c_0_440]),c_0_320]) ).

cnf(c_0_740,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_652,c_0_474]),c_0_335]) ).

cnf(c_0_741,negated_conjecture,
    ( ~ epred21_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_653,c_0_324]),c_0_352]) ).

cnf(c_0_742,negated_conjecture,
    ( ~ epred19_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_654,c_0_444]),c_0_449]) ).

cnf(c_0_743,negated_conjecture,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_655,c_0_475]),c_0_333]) ).

cnf(c_0_744,negated_conjecture,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_656,c_0_349]),c_0_320]) ).

cnf(c_0_745,negated_conjecture,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_657,c_0_325]),c_0_402]) ).

cnf(c_0_746,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_658,c_0_446]),c_0_336]) ).

cnf(c_0_747,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_659,c_0_450]),c_0_351]) ).

cnf(c_0_748,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a64) ),
    i_0_81 ).

cnf(c_0_749,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a31) ),
    i_0_118 ).

cnf(c_0_750,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a11) ),
    i_0_149 ).

cnf(c_0_751,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a4) ),
    i_0_170 ).

cnf(c_0_752,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a4) ),
    i_0_169 ).

cnf(c_0_753,negated_conjecture,
    ( c0_1(a27)
    | ~ hskp15 ),
    i_0_123 ).

cnf(c_0_754,negated_conjecture,
    ( c1_1(a64)
    | ~ hskp25 ),
    i_0_83 ).

cnf(c_0_755,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_692,c_0_693,c_0_389,c_0_489,c_0_694,c_0_518,c_0_695,c_0_520,c_0_696,c_0_697,c_0_387,c_0_698,c_0_699,c_0_700,c_0_701,c_0_604,c_0_702,c_0_703,c_0_704,c_0_705,c_0_706,c_0_612,c_0_707,c_0_708,c_0_493,c_0_709,c_0_710,c_0_711,c_0_712,c_0_420,c_0_388,c_0_602,c_0_713,c_0_714,c_0_421,c_0_534,c_0_715,c_0_610,c_0_716,c_0_717,c_0_481,c_0_718,c_0_377,c_0_719,c_0_720,c_0_721,c_0_722,c_0_723,c_0_549,c_0_724,c_0_725,c_0_617,c_0_726,c_0_727,c_0_532,c_0_728,c_0_528,c_0_635,c_0_729,c_0_627,c_0_326,c_0_730,c_0_603,c_0_731,c_0_732,c_0_625,c_0_733,c_0_734,c_0_735,c_0_736,c_0_737,c_0_738,c_0_739,c_0_740,c_0_741,c_0_742,c_0_743,c_0_744,c_0_745,c_0_559,c_0_746,c_0_747,c_0_748,c_0_486,c_0_379,c_0_392,c_0_395,c_0_393,c_0_369,c_0_368,c_0_749,c_0_563,c_0_500,c_0_344,c_0_343,c_0_750,c_0_480,c_0_479,c_0_401,c_0_751,c_0_752,c_0_541,c_0_340,c_0_329,c_0_753,c_0_328,c_0_566,c_0_400,c_0_540,c_0_754,c_0_499,c_0_342,c_0_502,c_0_539,c_0_427,c_0_521,c_0_463,c_0_306]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN443+1 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 : Mon Jul 11 21:05:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 14.60/3.29  # ENIGMATIC: Solved by autoschedule:
% 14.60/3.29  # No SInE strategy applied
% 14.60/3.29  # Trying AutoSched0 for 150 seconds
% 14.60/3.29  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 14.60/3.29  # and selection function SelectMaxLComplexAvoidPosPred.
% 14.60/3.29  #
% 14.60/3.29  # Preprocessing time       : 0.028 s
% 14.60/3.29  # SatCheck found unsatisfiable ground set
% 14.60/3.29  
% 14.60/3.29  # Proof found!
% 14.60/3.29  # SZS status Theorem
% 14.60/3.29  # SZS output start CNFRefutation
% See solution above
% 14.60/3.29  # Training examples: 0 positive, 0 negative
% 14.60/3.29  
% 14.60/3.29  # -------------------------------------------------
% 14.60/3.29  # User time                : 0.897 s
% 14.60/3.29  # System time              : 0.040 s
% 14.60/3.29  # Total time               : 0.937 s
% 14.60/3.29  # Maximum resident set size: 7124 pages
% 14.60/3.29  
%------------------------------------------------------------------------------