TSTP Solution File: SYN468+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN468+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 04:53:42 EDT 2022

% Result   : Theorem 22.94s 4.51s
% Output   : CNFRefutation 22.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  159
% Syntax   : Number of formulae    :  658 (   2 unt;   0 def)
%            Number of atoms       : 2444 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2749 ( 963   ~;1750   |;   0   &)
%                                         (  36 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   68 (  67 usr;  64 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  224 (   0 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_196,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_196) ).

cnf(i_0_9,negated_conjecture,
    ( hskp0
    | hskp3
    | hskp23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_9) ).

cnf(i_0_184,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_184) ).

cnf(i_0_104,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_104) ).

cnf(i_0_107,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a331) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_107) ).

cnf(i_0_105,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a331) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_105) ).

cnf(i_0_175,negated_conjecture,
    ( c1_1(a297)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_175) ).

cnf(i_0_174,negated_conjecture,
    ( c2_1(a297)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_174) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a297) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_173) ).

cnf(i_0_4,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_4) ).

cnf(i_0_106,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a331) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_106) ).

cnf(i_0_181,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a294) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_181) ).

cnf(i_0_182,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_182) ).

cnf(i_0_183,negated_conjecture,
    ( c0_1(a294)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_183) ).

cnf(i_0_66,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_66) ).

cnf(i_0_131,negated_conjecture,
    ( c2_1(a315)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_131) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a315) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_129) ).

cnf(i_0_130,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a315) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_130) ).

cnf(i_0_122,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a325) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_122) ).

cnf(i_0_123,negated_conjecture,
    ( c0_1(a325)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_123) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a325) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_121) ).

cnf(i_0_17,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_17) ).

cnf(i_0_40,negated_conjecture,
    ( hskp3
    | 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-9q1lm5gs/input.p',i_0_40) ).

cnf(i_0_141,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a308) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_141) ).

cnf(i_0_143,negated_conjecture,
    ( c0_1(a308)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_143) ).

cnf(i_0_142,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a308) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_142) ).

cnf(i_0_162,negated_conjecture,
    ( c3_1(a300)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_162) ).

cnf(i_0_163,negated_conjecture,
    ( c0_1(a300)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_163) ).

cnf(i_0_8,negated_conjecture,
    ( hskp8
    | hskp13
    | hskp18 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_8) ).

cnf(i_0_114,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a329) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_114) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a329) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_113) ).

cnf(i_0_69,negated_conjecture,
    ( c2_1(a367)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_69) ).

cnf(i_0_71,negated_conjecture,
    ( c0_1(a367)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_71) ).

cnf(i_0_47,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_47) ).

cnf(i_0_194,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a291) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_194) ).

cnf(i_0_193,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a291) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    ( c1_1(a291)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_195) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a307) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_146) ).

cnf(i_0_147,negated_conjecture,
    ( c2_1(a307)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_147) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a307) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_145) ).

cnf(i_0_49,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_49) ).

cnf(i_0_115,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a329) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_115) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a300) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_161) ).

cnf(i_0_5,negated_conjecture,
    ( hskp2
    | hskp13
    | hskp20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_5) ).

cnf(i_0_135,negated_conjecture,
    ( c0_1(a311)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_135) ).

cnf(i_0_133,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a311) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_133) ).

cnf(i_0_87,negated_conjecture,
    ( c1_1(a368)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_87) ).

cnf(i_0_85,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a368) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_85) ).

cnf(i_0_86,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a368) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_86) ).

cnf(i_0_11,negated_conjecture,
    ( hskp24
    | hskp27
    | hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_11) ).

cnf(i_0_78,negated_conjecture,
    ( c2_1(a301)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_78) ).

cnf(i_0_77,negated_conjecture,
    ( c3_1(a301)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_77) ).

cnf(i_0_79,negated_conjecture,
    ( c0_1(a301)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_79) ).

cnf(i_0_101,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a337) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_101) ).

cnf(i_0_102,negated_conjecture,
    ( c3_1(a337)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_102) ).

cnf(i_0_103,negated_conjecture,
    ( c1_1(a337)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_103) ).

cnf(i_0_165,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a299) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_165) ).

cnf(i_0_166,negated_conjecture,
    ( c3_1(a299)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_166) ).

cnf(i_0_167,negated_conjecture,
    ( c0_1(a299)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_167) ).

cnf(i_0_15,negated_conjecture,
    ( hskp23
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_15) ).

cnf(i_0_186,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a293) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_186) ).

cnf(i_0_187,negated_conjecture,
    ( c3_1(a293)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_187) ).

cnf(i_0_185,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a293) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_185) ).

cnf(i_0_99,negated_conjecture,
    ( c1_1(a341)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_99) ).

cnf(i_0_97,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a341) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_97) ).

cnf(i_0_98,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a341) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_98) ).

cnf(i_0_3,negated_conjecture,
    ( hskp2
    | hskp12
    | hskp23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_3) ).

cnf(i_0_70,negated_conjecture,
    ( c1_1(a367)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_70) ).

cnf(i_0_189,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a292) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_189) ).

cnf(i_0_191,negated_conjecture,
    ( c2_1(a292)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_191) ).

cnf(i_0_190,negated_conjecture,
    ( c3_1(a292)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_190) ).

cnf(i_0_158,negated_conjecture,
    ( c1_1(a304)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_158) ).

cnf(i_0_159,negated_conjecture,
    ( c0_1(a304)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_159) ).

cnf(i_0_157,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a304) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_157) ).

cnf(i_0_68,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_68) ).

cnf(i_0_44,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_44) ).

cnf(i_0_63,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_63) ).

cnf(i_0_6,negated_conjecture,
    ( hskp1
    | hskp7
    | hskp16 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_6) ).

cnf(i_0_61,negated_conjecture,
    ( hskp8
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_61) ).

cnf(i_0_52,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_52) ).

cnf(i_0_53,negated_conjecture,
    ( hskp11
    | hskp12
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_53) ).

cnf(i_0_178,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a295) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_178) ).

cnf(i_0_179,negated_conjecture,
    ( c0_1(a295)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_179) ).

cnf(i_0_177,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a295) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_177) ).

cnf(i_0_65,negated_conjecture,
    ( hskp4
    | hskp28
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_65) ).

cnf(i_0_16,negated_conjecture,
    ( hskp3
    | hskp26
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_16) ).

cnf(i_0_55,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_55) ).

cnf(i_0_56,negated_conjecture,
    ( hskp9
    | hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_56) ).

cnf(i_0_58,negated_conjecture,
    ( hskp4
    | hskp6
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_58) ).

cnf(i_0_48,negated_conjecture,
    ( hskp8
    | hskp15
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_48) ).

cnf(i_0_31,negated_conjecture,
    ( hskp8
    | hskp23
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_31) ).

cnf(i_0_45,negated_conjecture,
    ( hskp4
    | hskp11
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_45) ).

cnf(i_0_46,negated_conjecture,
    ( hskp13
    | hskp16
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_46) ).

cnf(i_0_27,negated_conjecture,
    ( hskp16
    | hskp24
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_27) ).

cnf(i_0_151,negated_conjecture,
    ( c1_1(a306)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_151) ).

cnf(i_0_150,negated_conjecture,
    ( c3_1(a306)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_150) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a306) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_149) ).

cnf(i_0_10,negated_conjecture,
    ( hskp9
    | hskp16
    | hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_10) ).

cnf(i_0_30,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_30) ).

cnf(i_0_28,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_28) ).

cnf(i_0_35,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_35) ).

cnf(i_0_171,negated_conjecture,
    ( c2_1(a298)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_171) ).

cnf(i_0_170,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a298) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_170) ).

cnf(i_0_169,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a298) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_169) ).

cnf(i_0_155,negated_conjecture,
    ( c1_1(a305)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_155) ).

cnf(i_0_154,negated_conjecture,
    ( c2_1(a305)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_154) ).

cnf(i_0_153,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a305) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_153) ).

cnf(i_0_83,negated_conjecture,
    ( c1_1(a296)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_83) ).

cnf(i_0_82,negated_conjecture,
    ( c2_1(a296)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_82) ).

cnf(i_0_81,negated_conjecture,
    ( c3_1(a296)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_81) ).

cnf(i_0_134,negated_conjecture,
    ( c1_1(a311)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_134) ).

cnf(i_0_90,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a359) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_90) ).

cnf(i_0_89,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a359) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_89) ).

cnf(i_0_91,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a359) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_91) ).

cnf(i_0_54,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_54) ).

cnf(i_0_51,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_51) ).

cnf(i_0_57,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c3_1(X2)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_57) ).

cnf(i_0_62,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_62) ).

cnf(i_0_22,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_22) ).

cnf(i_0_43,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_43) ).

cnf(i_0_29,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_29) ).

cnf(i_0_60,negated_conjecture,
    ( hskp29
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_60) ).

cnf(i_0_37,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9q1lm5gs/input.p',i_0_37) ).

cnf(c_0_320,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    i_0_196 ).

cnf(c_0_321,negated_conjecture,
    ( hskp0
    | hskp3
    | hskp23 ),
    i_0_9 ).

cnf(c_0_322,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    i_0_184 ).

cnf(c_0_323,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    i_0_104 ).

fof(c_0_324,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp3
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_325,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]),c_0_323]) ).

fof(c_0_326,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a331) ),
    i_0_107 ).

cnf(c_0_328,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_325])]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a331) ),
    i_0_105 ).

fof(c_0_330,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_331,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_332,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( hskp5
        | c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_333,negated_conjecture,
    ( epred18_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_326]) ).

cnf(c_0_334,negated_conjecture,
    ( c1_1(a297)
    | ~ hskp5 ),
    i_0_175 ).

cnf(c_0_335,negated_conjecture,
    ( c2_1(a297)
    | ~ hskp5 ),
    i_0_174 ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a297) ),
    i_0_173 ).

cnf(c_0_337,negated_conjecture,
    ( epred3_0
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]) ).

cnf(c_0_338,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp22 ),
    i_0_4 ).

cnf(c_0_339,negated_conjecture,
    ( epred4_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_330]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a331) ),
    i_0_106 ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a294) ),
    i_0_181 ).

cnf(c_0_342,negated_conjecture,
    ( epred24_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_331]) ).

cnf(c_0_343,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp3 ),
    i_0_182 ).

cnf(c_0_344,negated_conjecture,
    ( c0_1(a294)
    | ~ hskp3 ),
    i_0_183 ).

fof(c_0_345,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_346,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    i_0_66 ).

cnf(c_0_347,negated_conjecture,
    ( epred21_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp5
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_332]),c_0_325])]) ).

cnf(c_0_348,negated_conjecture,
    ( c2_1(a315)
    | ~ hskp16 ),
    i_0_131 ).

cnf(c_0_349,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a315) ),
    i_0_129 ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a315) ),
    i_0_130 ).

cnf(c_0_351,negated_conjecture,
    ( epred18_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335]),c_0_336]) ).

cnf(c_0_352,negated_conjecture,
    ( epred3_0
    | hskp16
    | hskp5
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_353,negated_conjecture,
    ( epred4_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_339]),c_0_340]),c_0_329]) ).

fof(c_0_354,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_355,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_356,negated_conjecture,
    ( epred24_0
    | ~ hskp3 ),
    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_357,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a325) ),
    i_0_122 ).

cnf(c_0_358,negated_conjecture,
    ( c0_1(a325)
    | ~ hskp18 ),
    i_0_123 ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a325) ),
    i_0_121 ).

fof(c_0_360,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_361,negated_conjecture,
    ( epred7_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_345]) ).

cnf(c_0_362,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_325])]) ).

cnf(c_0_363,negated_conjecture,
    ( epred21_0
    | hskp5
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]),c_0_350]) ).

cnf(c_0_364,negated_conjecture,
    ( epred18_0
    | epred3_0
    | hskp16
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_365,negated_conjecture,
    ( epred4_0
    | hskp16
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_353,c_0_338]) ).

cnf(c_0_366,negated_conjecture,
    ( epred22_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_354]) ).

cnf(c_0_367,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_355]) ).

cnf(c_0_368,negated_conjecture,
    ( epred24_0
    | epred3_0
    | c3_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_356,c_0_328]) ).

cnf(c_0_369,negated_conjecture,
    ( epred24_0
    | ~ c2_1(a325)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_342]),c_0_358]) ).

cnf(c_0_370,negated_conjecture,
    ( epred4_0
    | c2_1(a325)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_339]),c_0_359]) ).

fof(c_0_371,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_372,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( hskp15
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_373,negated_conjecture,
    ( epred39_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_360]) ).

cnf(c_0_374,negated_conjecture,
    ( epred7_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_361,c_0_362]) ).

cnf(c_0_375,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    i_0_17 ).

cnf(c_0_376,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_40 ).

cnf(c_0_377,negated_conjecture,
    ( epred21_0
    | epred18_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_351,c_0_363]) ).

cnf(c_0_378,negated_conjecture,
    ( epred24_0
    | epred18_0
    | epred3_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_356,c_0_364]) ).

cnf(c_0_379,negated_conjecture,
    ( epred18_0
    | epred4_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_351,c_0_365]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a308) ),
    i_0_141 ).

cnf(c_0_381,negated_conjecture,
    ( c0_1(a308)
    | ~ hskp13 ),
    i_0_143 ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a308) ),
    i_0_142 ).

cnf(c_0_383,negated_conjecture,
    ( epred40_0
    | epred22_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_384,negated_conjecture,
    ( c3_1(a300)
    | ~ hskp8 ),
    i_0_162 ).

cnf(c_0_385,negated_conjecture,
    ( c0_1(a300)
    | ~ hskp8 ),
    i_0_163 ).

cnf(c_0_386,negated_conjecture,
    ( epred24_0
    | epred3_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_368]),c_0_359]) ).

cnf(c_0_387,negated_conjecture,
    ( hskp8
    | hskp13
    | hskp18 ),
    i_0_8 ).

cnf(c_0_388,negated_conjecture,
    ( epred24_0
    | epred4_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_369,c_0_370]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a329) ),
    i_0_114 ).

cnf(c_0_390,negated_conjecture,
    ( epred12_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_371]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a329) ),
    i_0_113 ).

cnf(c_0_392,negated_conjecture,
    ( epred27_0
    | c0_1(X1)
    | hskp15
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_372]),c_0_325])]) ).

cnf(c_0_393,negated_conjecture,
    ( epred39_0
    | ~ c0_1(a331)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_373]),c_0_329]) ).

cnf(c_0_394,negated_conjecture,
    ( epred7_0
    | c0_1(a331)
    | hskp3
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_329,c_0_374]) ).

cnf(c_0_395,negated_conjecture,
    ( c2_1(a367)
    | ~ hskp31 ),
    i_0_69 ).

cnf(c_0_396,negated_conjecture,
    ( c0_1(a367)
    | ~ hskp31 ),
    i_0_71 ).

cnf(c_0_397,negated_conjecture,
    ( c3_1(X1)
    | hskp20
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_325])]) ).

fof(c_0_398,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( hskp7
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_399,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    i_0_47 ).

cnf(c_0_400,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_376,c_0_346]),c_0_324]),c_0_330]) ).

cnf(c_0_401,negated_conjecture,
    ( epred24_0
    | epred21_0
    | epred18_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_402,negated_conjecture,
    ( epred21_0
    | epred18_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_377,c_0_379]) ).

cnf(c_0_403,negated_conjecture,
    ( epred40_0
    | ~ c3_1(a308)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_367]),c_0_381]) ).

cnf(c_0_404,negated_conjecture,
    ( epred24_0
    | epred3_0
    | c3_1(a308)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_382,c_0_368]) ).

cnf(c_0_405,negated_conjecture,
    ( epred40_0
    | epred22_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_385]) ).

cnf(c_0_406,negated_conjecture,
    ( epred24_0
    | epred3_0
    | hskp13
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_407,negated_conjecture,
    ( epred4_0
    | c3_1(a308)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_339]),c_0_380]) ).

cnf(c_0_408,negated_conjecture,
    ( epred24_0
    | epred4_0
    | hskp13
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_388,c_0_387]) ).

fof(c_0_409,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( hskp8
        | c2_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_410,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_411,negated_conjecture,
    ( epred12_0
    | ~ c3_1(a329)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_391]) ).

cnf(c_0_412,negated_conjecture,
    ( epred3_0
    | c3_1(a329)
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_389,c_0_328]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a291) ),
    i_0_194 ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a291) ),
    i_0_193 ).

cnf(c_0_415,negated_conjecture,
    ( c1_1(a291)
    | ~ hskp0 ),
    i_0_195 ).

fof(c_0_416,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( hskp0
        | c1_1(X2)
        | c2_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_417,negated_conjecture,
    ( epred27_0
    | hskp15
    | ~ c3_1(a297)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_334]),c_0_336]) ).

cnf(c_0_418,negated_conjecture,
    ( epred7_0
    | c3_1(a297)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_334]),c_0_336]) ).

cnf(c_0_419,negated_conjecture,
    ( epred39_0
    | epred7_0
    | hskp3
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_393,c_0_394]) ).

cnf(c_0_420,negated_conjecture,
    ( epred7_0
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_374]),c_0_350]) ).

fof(c_0_421,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( hskp29
        | c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_422,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a367)
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_395]),c_0_396]) ).

cnf(c_0_423,negated_conjecture,
    ( c3_1(a367)
    | hskp20
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_395]),c_0_396]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a307) ),
    i_0_146 ).

cnf(c_0_425,negated_conjecture,
    ( c2_1(a307)
    | ~ hskp12 ),
    i_0_147 ).

cnf(c_0_426,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a307) ),
    i_0_145 ).

cnf(c_0_427,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    i_0_49 ).

cnf(c_0_428,negated_conjecture,
    ( ~ epred25_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_399,c_0_398]),c_0_326]) ).

cnf(c_0_429,negated_conjecture,
    ( epred24_0
    | epred21_0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_402]) ).

cnf(c_0_430,negated_conjecture,
    ( epred40_0
    | epred24_0
    | epred3_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_431,negated_conjecture,
    ( epred40_0
    | epred24_0
    | epred22_0
    | epred3_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_432,negated_conjecture,
    ( epred40_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_403,c_0_407]) ).

cnf(c_0_433,negated_conjecture,
    ( epred40_0
    | epred24_0
    | epred22_0
    | epred4_0
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_405,c_0_408]) ).

cnf(c_0_434,negated_conjecture,
    ( epred8_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_409]),c_0_325])]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a329) ),
    i_0_115 ).

cnf(c_0_436,negated_conjecture,
    ( epred20_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_410]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a300) ),
    i_0_161 ).

cnf(c_0_438,negated_conjecture,
    ( epred12_0
    | ~ c3_1(a308)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_390]),c_0_380]) ).

cnf(c_0_439,negated_conjecture,
    ( epred3_0
    | c3_1(a308)
    | hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_382,c_0_328]) ).

cnf(c_0_440,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_411,c_0_412]) ).

cnf(c_0_441,negated_conjecture,
    ( hskp2
    | hskp13
    | hskp20 ),
    i_0_5 ).

cnf(c_0_442,negated_conjecture,
    ( epred4_0
    | c3_1(a329)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_339]),c_0_391]) ).

cnf(c_0_443,negated_conjecture,
    ( epred39_0
    | ~ c0_1(a291)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_373]),c_0_414]) ).

cnf(c_0_444,negated_conjecture,
    ( epred7_0
    | c0_1(a291)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_415]),c_0_414]) ).

cnf(c_0_445,negated_conjecture,
    ( epred1_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_416]),c_0_325])]) ).

cnf(c_0_446,negated_conjecture,
    ( epred39_0
    | c3_1(X1)
    | hskp20
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_397,c_0_373]) ).

cnf(c_0_447,negated_conjecture,
    ( c0_1(a311)
    | ~ hskp15 ),
    i_0_135 ).

cnf(c_0_448,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a311) ),
    i_0_133 ).

cnf(c_0_449,negated_conjecture,
    ( epred27_0
    | epred7_0
    | hskp15
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_417,c_0_418]) ).

cnf(c_0_450,negated_conjecture,
    ( epred39_0
    | epred7_0
    | hskp5
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_338]),c_0_420]) ).

fof(c_0_451,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_452,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( hskp16
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_453,negated_conjecture,
    ( epred17_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp29
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_421]),c_0_325])]) ).

cnf(c_0_454,negated_conjecture,
    ( c1_1(a368)
    | ~ hskp27 ),
    i_0_87 ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a368) ),
    i_0_85 ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a368) ),
    i_0_86 ).

cnf(c_0_457,negated_conjecture,
    ( epred22_0
    | hskp20
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_458,negated_conjecture,
    ( hskp24
    | hskp27
    | hskp31 ),
    i_0_11 ).

cnf(c_0_459,negated_conjecture,
    ( c2_1(a301)
    | ~ hskp29 ),
    i_0_78 ).

cnf(c_0_460,negated_conjecture,
    ( c3_1(a301)
    | ~ hskp29 ),
    i_0_77 ).

cnf(c_0_461,negated_conjecture,
    ( c0_1(a301)
    | ~ hskp29 ),
    i_0_79 ).

fof(c_0_462,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( hskp7
        | c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a337) ),
    i_0_101 ).

cnf(c_0_464,negated_conjecture,
    ( c3_1(a337)
    | ~ hskp23 ),
    i_0_102 ).

cnf(c_0_465,negated_conjecture,
    ( epred25_0
    | c0_1(X1)
    | hskp7
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_398]),c_0_325])]) ).

cnf(c_0_466,negated_conjecture,
    ( c1_1(a337)
    | ~ hskp23 ),
    i_0_103 ).

cnf(c_0_467,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a299) ),
    i_0_165 ).

cnf(c_0_468,negated_conjecture,
    ( c3_1(a299)
    | ~ hskp7 ),
    i_0_166 ).

cnf(c_0_469,negated_conjecture,
    ( c0_1(a299)
    | ~ hskp7 ),
    i_0_167 ).

cnf(c_0_470,negated_conjecture,
    ( epred24_0
    | ~ c0_1(a307)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_342]),c_0_425]) ).

cnf(c_0_471,negated_conjecture,
    ( c0_1(a307)
    | hskp3
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_362]),c_0_426]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_427,c_0_332]),c_0_354]) ).

cnf(c_0_473,negated_conjecture,
    ( epred24_0
    | epred21_0
    | ~ epred25_0 ),
    inference(spm,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_474,negated_conjecture,
    ( epred40_0
    | epred24_0
    | epred22_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_430,c_0_431]) ).

cnf(c_0_475,negated_conjecture,
    ( epred40_0
    | epred24_0
    | epred22_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_476,negated_conjecture,
    ( hskp23
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    i_0_15 ).

cnf(c_0_477,negated_conjecture,
    ( epred8_0
    | c3_1(a329)
    | hskp8
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_434]),c_0_435]) ).

cnf(c_0_478,negated_conjecture,
    ( epred20_0
    | ~ c3_1(a294)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_436]),c_0_343]) ).

cnf(c_0_479,negated_conjecture,
    ( c3_1(a294)
    | hskp20
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_343]),c_0_344]) ).

cnf(c_0_480,negated_conjecture,
    ( epred20_0
    | ~ c2_1(a300)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_436]),c_0_384]) ).

cnf(c_0_481,negated_conjecture,
    ( epred12_0
    | c2_1(a300)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_390]),c_0_384]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a293) ),
    i_0_186 ).

cnf(c_0_483,negated_conjecture,
    ( c3_1(a293)
    | ~ hskp2 ),
    i_0_187 ).

cnf(c_0_484,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a293) ),
    i_0_185 ).

cnf(c_0_485,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_486,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp13
    | hskp3
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_440,c_0_441]) ).

cnf(c_0_487,negated_conjecture,
    ( epred12_0
    | epred4_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_411,c_0_442]) ).

fof(c_0_488,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( hskp9
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_489,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_490,negated_conjecture,
    ( epred39_0
    | epred7_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_444]) ).

cnf(c_0_491,negated_conjecture,
    ( epred1_0
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_445]),c_0_391]),c_0_435]) ).

cnf(c_0_492,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a294)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_343]),c_0_344]) ).

cnf(c_0_493,negated_conjecture,
    ( epred39_0
    | c3_1(a294)
    | hskp20
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_446,c_0_344]) ).

cnf(c_0_494,negated_conjecture,
    ( epred39_0
    | hskp20
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_448]) ).

cnf(c_0_495,negated_conjecture,
    ( epred39_0
    | epred27_0
    | epred7_0
    | hskp15
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_496,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_451]) ).

cnf(c_0_497,negated_conjecture,
    ( epred29_0
    | c1_1(X1)
    | hskp16
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_452]),c_0_325])]) ).

cnf(c_0_498,negated_conjecture,
    ( c1_1(a341)
    | ~ hskp24 ),
    i_0_99 ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a341) ),
    i_0_97 ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a341) ),
    i_0_98 ).

cnf(c_0_501,negated_conjecture,
    ( epred17_0
    | hskp29
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_454]),c_0_455]),c_0_456]) ).

cnf(c_0_502,negated_conjecture,
    ( epred22_0
    | hskp27
    | hskp24
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_457,c_0_458]) ).

cnf(c_0_503,negated_conjecture,
    ( epred22_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_459]),c_0_460]),c_0_461]) ).

cnf(c_0_504,negated_conjecture,
    ( epred6_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp7
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_462]),c_0_325])]) ).

cnf(c_0_505,negated_conjecture,
    ( epred40_0
    | ~ c0_1(a337)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_367]),c_0_464]) ).

cnf(c_0_506,negated_conjecture,
    ( epred25_0
    | c0_1(a337)
    | hskp7
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_464]) ).

cnf(c_0_507,negated_conjecture,
    ( epred40_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_367]),c_0_468]),c_0_469]) ).

cnf(c_0_508,negated_conjecture,
    ( epred24_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_471]),c_0_356]) ).

cnf(c_0_509,negated_conjecture,
    ( hskp2
    | hskp12
    | hskp23 ),
    i_0_3 ).

cnf(c_0_510,negated_conjecture,
    ( epred24_0
    | ~ epred25_0
    | ~ epred22_0 ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_511,negated_conjecture,
    ( epred40_0
    | epred24_0
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_474]),c_0_475]) ).

cnf(c_0_512,negated_conjecture,
    ( hskp23
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_325])]) ).

cnf(c_0_513,negated_conjecture,
    ( c1_1(a367)
    | ~ hskp31 ),
    i_0_70 ).

cnf(c_0_514,negated_conjecture,
    ( epred8_0
    | c0_1(a291)
    | hskp8
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_434]),c_0_414]) ).

fof(c_0_515,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_516,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_517,negated_conjecture,
    ( epred12_0
    | epred8_0
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_411,c_0_477]) ).

cnf(c_0_518,negated_conjecture,
    ( epred20_0
    | hskp20
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_519,negated_conjecture,
    ( epred20_0
    | epred12_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_520,negated_conjecture,
    ( epred12_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_390]),c_0_483]),c_0_484]) ).

cnf(c_0_521,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp3
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_522,negated_conjecture,
    ( epred12_0
    | epred4_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_438,c_0_407]) ).

cnf(c_0_523,negated_conjecture,
    ( epred12_0
    | epred4_0
    | hskp13
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_487,c_0_441]) ).

fof(c_0_524,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( hskp4
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_525,negated_conjecture,
    ( epred26_0
    | c3_1(X1)
    | hskp9
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_488]),c_0_325])]) ).

cnf(c_0_526,negated_conjecture,
    ( epred37_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_489]) ).

cnf(c_0_527,negated_conjecture,
    ( epred39_0
    | epred7_0
    | epred1_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_528,negated_conjecture,
    ( epred39_0
    | epred22_0
    | hskp20
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_529,negated_conjecture,
    ( epred39_0
    | epred27_0
    | epred7_0
    | hskp20
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_494,c_0_495]) ).

cnf(c_0_530,negated_conjecture,
    ( epred2_0
    | c3_1(a294)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_496]),c_0_344]) ).

cnf(c_0_531,negated_conjecture,
    ( epred2_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_496]),c_0_358]),c_0_359]) ).

cnf(c_0_532,negated_conjecture,
    ( epred29_0
    | hskp16
    | ~ c3_1(a308)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_381]),c_0_382]) ).

cnf(c_0_533,negated_conjecture,
    ( epred2_0
    | c3_1(a308)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_496]),c_0_381]) ).

fof(c_0_534,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( hskp22
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_535,negated_conjecture,
    ( epred7_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_498]),c_0_499]),c_0_500]) ).

cnf(c_0_536,negated_conjecture,
    ( epred22_0
    | epred17_0
    | hskp24
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_503]) ).

cnf(c_0_537,negated_conjecture,
    ( epred40_0
    | ~ c0_1(a293)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_367]),c_0_483]) ).

cnf(c_0_538,negated_conjecture,
    ( epred6_0
    | c0_1(a293)
    | hskp7
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_483]),c_0_482]) ).

cnf(c_0_539,negated_conjecture,
    ( epred40_0
    | epred25_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_506]),c_0_507]) ).

cnf(c_0_540,negated_conjecture,
    ( epred24_0
    | hskp23
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_541,negated_conjecture,
    ( epred40_0
    | epred24_0
    | ~ epred25_0 ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_542,negated_conjecture,
    ( epred25_0
    | hskp7
    | ~ c3_1(a368)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_454]),c_0_456]) ).

cnf(c_0_543,negated_conjecture,
    ( epred7_0
    | c3_1(a368)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_454]),c_0_456]) ).

cnf(c_0_544,negated_conjecture,
    ( hskp23
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_395]),c_0_396]) ).

cnf(c_0_545,negated_conjecture,
    ( epred39_0
    | epred8_0
    | hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_514]) ).

cnf(c_0_546,negated_conjecture,
    ( epred39_0
    | hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_358]),c_0_359]) ).

cnf(c_0_547,negated_conjecture,
    ( epred42_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_515]) ).

fof(c_0_548,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( hskp13
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_549,negated_conjecture,
    ( epred9_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_516]) ).

cnf(c_0_550,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a292) ),
    i_0_189 ).

cnf(c_0_551,negated_conjecture,
    ( c2_1(a292)
    | ~ hskp1 ),
    i_0_191 ).

cnf(c_0_552,negated_conjecture,
    ( c3_1(a292)
    | ~ hskp1 ),
    i_0_190 ).

cnf(c_0_553,negated_conjecture,
    ( epred20_0
    | epred12_0
    | epred8_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_519]) ).

cnf(c_0_554,negated_conjecture,
    ( epred12_0
    | epred3_0
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_555,negated_conjecture,
    ( epred12_0
    | epred4_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_522,c_0_523]) ).

cnf(c_0_556,negated_conjecture,
    ( epred30_0
    | c2_1(X1)
    | hskp4
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_524]),c_0_325])]) ).

cnf(c_0_557,negated_conjecture,
    ( c1_1(a304)
    | ~ hskp9 ),
    i_0_158 ).

cnf(c_0_558,negated_conjecture,
    ( c0_1(a304)
    | ~ hskp9 ),
    i_0_159 ).

cnf(c_0_559,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a304) ),
    i_0_157 ).

cnf(c_0_560,negated_conjecture,
    ( epred37_0
    | epred26_0
    | c3_1(X1)
    | hskp9
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_525,c_0_526]) ).

cnf(c_0_561,negated_conjecture,
    ( epred37_0
    | ~ c2_1(a325)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_526]),c_0_359]) ).

cnf(c_0_562,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_68 ).

cnf(c_0_563,negated_conjecture,
    ( epred39_0
    | epred22_0
    | epred7_0
    | epred1_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_527,c_0_528]) ).

cnf(c_0_564,negated_conjecture,
    ( epred39_0
    | epred27_0
    | epred7_0
    | epred1_0
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_527,c_0_529]) ).

cnf(c_0_565,negated_conjecture,
    ( epred22_0
    | epred2_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_492,c_0_530]) ).

cnf(c_0_566,negated_conjecture,
    ( epred29_0
    | hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_385]),c_0_384]),c_0_437]) ).

cnf(c_0_567,negated_conjecture,
    ( epred2_0
    | hskp13
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_531,c_0_387]) ).

cnf(c_0_568,negated_conjecture,
    ( epred29_0
    | epred2_0
    | hskp16
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_532,c_0_533]) ).

cnf(c_0_569,negated_conjecture,
    ( epred16_0
    | c3_1(X1)
    | hskp22
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_534]),c_0_325])]) ).

cnf(c_0_570,negated_conjecture,
    ( epred22_0
    | epred17_0
    | epred7_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_535,c_0_536]) ).

fof(c_0_571,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp4
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_572,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    i_0_44 ).

cnf(c_0_573,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    i_0_63 ).

cnf(c_0_574,negated_conjecture,
    ( epred40_0
    | epred6_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_538]),c_0_507]) ).

cnf(c_0_575,negated_conjecture,
    ( epred40_0
    | epred24_0
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_541]) ).

cnf(c_0_576,negated_conjecture,
    ( epred25_0
    | epred7_0
    | hskp7
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_577,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_544,c_0_458]) ).

cnf(c_0_578,negated_conjecture,
    ( epred39_0
    | epred8_0
    | epred1_0
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_545,c_0_491]) ).

cnf(c_0_579,negated_conjecture,
    ( epred39_0
    | hskp20
    | hskp13
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_546,c_0_387]) ).

cnf(c_0_580,negated_conjecture,
    ( epred42_0
    | ~ c3_1(a308)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_547]),c_0_381]) ).

cnf(c_0_581,negated_conjecture,
    ( epred39_0
    | c3_1(a308)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_373]),c_0_381]) ).

fof(c_0_582,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( hskp7
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_583,plain,
    ( ~ epred41_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_584,negated_conjecture,
    ( epred10_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp13
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_548]),c_0_325])]) ).

cnf(c_0_585,negated_conjecture,
    ( epred12_0
    | epred9_0
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_549,c_0_390]) ).

cnf(c_0_586,negated_conjecture,
    ( epred20_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_436]),c_0_551]),c_0_552]) ).

cnf(c_0_587,negated_conjecture,
    ( hskp1
    | hskp7
    | hskp16 ),
    i_0_6 ).

cnf(c_0_588,negated_conjecture,
    ( hskp8
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    i_0_61 ).

cnf(c_0_589,negated_conjecture,
    ( epred20_0
    | epred12_0
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_553,c_0_554]) ).

cnf(c_0_590,negated_conjecture,
    ( epred12_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_520,c_0_555]) ).

cnf(c_0_591,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    i_0_52 ).

cnf(c_0_592,negated_conjecture,
    ( epred12_0
    | epred2_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_438,c_0_533]) ).

cnf(c_0_593,negated_conjecture,
    ( hskp11
    | hskp12
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_53 ).

cnf(c_0_594,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a295) ),
    i_0_178 ).

cnf(c_0_595,negated_conjecture,
    ( c0_1(a295)
    | ~ hskp4 ),
    i_0_179 ).

cnf(c_0_596,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a295) ),
    i_0_177 ).

cnf(c_0_597,negated_conjecture,
    ( epred30_0
    | hskp4
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_557]),c_0_558]),c_0_559]) ).

cnf(c_0_598,negated_conjecture,
    ( epred37_0
    | epred26_0
    | hskp9
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_348]),c_0_349]) ).

cnf(c_0_599,negated_conjecture,
    ( epred37_0
    | epred4_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_561,c_0_370]) ).

cnf(c_0_600,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_416]),c_0_451]) ).

cnf(c_0_601,negated_conjecture,
    ( epred39_0
    | epred27_0
    | epred22_0
    | epred7_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_563,c_0_564]) ).

cnf(c_0_602,negated_conjecture,
    ( epred22_0
    | epred7_0
    | epred2_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_565,c_0_420]) ).

cnf(c_0_603,negated_conjecture,
    ( epred29_0
    | epred2_0
    | hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_567]),c_0_568]) ).

cnf(c_0_604,negated_conjecture,
    ( epred39_0
    | epred16_0
    | c3_1(X1)
    | hskp22
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_569,c_0_373]) ).

cnf(c_0_605,negated_conjecture,
    ( epred39_0
    | epred22_0
    | epred17_0
    | epred7_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_527,c_0_570]) ).

cnf(c_0_606,negated_conjecture,
    ( epred16_0
    | c3_1(a367)
    | hskp22
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_395]),c_0_396]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_572,c_0_571]),c_0_330]) ).

cnf(c_0_608,negated_conjecture,
    ( hskp4
    | hskp28
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    i_0_65 ).

cnf(c_0_609,negated_conjecture,
    ( hskp3
    | hskp26
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    i_0_16 ).

fof(c_0_610,plain,
    ( ~ epred38_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_611,negated_conjecture,
    ( c0_1(a331)
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_362]),c_0_329]) ).

fof(c_0_612,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_613,negated_conjecture,
    ( ~ epred7_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_573,c_0_462]),c_0_345]) ).

cnf(c_0_614,negated_conjecture,
    ( epred40_0
    | epred24_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_574,c_0_575]) ).

cnf(c_0_615,negated_conjecture,
    ( epred25_0
    | epred7_0
    | hskp23
    | hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_577]),c_0_535]) ).

cnf(c_0_616,negated_conjecture,
    ( epred42_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_547]),c_0_384]),c_0_385]) ).

cnf(c_0_617,negated_conjecture,
    ( epred39_0
    | epred8_0
    | epred1_0
    | hskp13
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_578,c_0_579]) ).

cnf(c_0_618,negated_conjecture,
    ( epred42_0
    | epred39_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_580,c_0_581]) ).

cnf(c_0_619,negated_conjecture,
    ( epred42_0
    | epred2_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_580,c_0_533]) ).

cnf(c_0_620,negated_conjecture,
    ( epred23_0
    | c3_1(X1)
    | hskp7
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_582]),c_0_325])]) ).

cnf(c_0_621,negated_conjecture,
    ( epred16_0
    | c3_1(a294)
    | hskp22
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_343]),c_0_344]) ).

cnf(c_0_622,negated_conjecture,
    ( epred41_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_583]),c_0_325])]) ).

cnf(c_0_623,negated_conjecture,
    ( epred39_0
    | epred12_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_438,c_0_581]) ).

cnf(c_0_624,negated_conjecture,
    ( epred10_0
    | hskp13
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_348]),c_0_349]),c_0_350]) ).

cnf(c_0_625,negated_conjecture,
    ( epred12_0
    | epred9_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_585]),c_0_468]) ).

cnf(c_0_626,negated_conjecture,
    ( epred20_0
    | hskp16
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_586,c_0_587]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_588,c_0_409]),c_0_516]) ).

cnf(c_0_628,negated_conjecture,
    ( epred20_0
    | epred12_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_589]),c_0_590]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ epred10_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_591,c_0_548]),c_0_451]) ).

cnf(c_0_630,negated_conjecture,
    ( epred20_0
    | epred12_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_567]),c_0_592]) ).

cnf(c_0_631,negated_conjecture,
    ( c3_1(a329)
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_362]),c_0_435]) ).

cnf(c_0_632,negated_conjecture,
    ( hskp20
    | ~ c0_1(a307)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_425]),c_0_426]) ).

fof(c_0_633,plain,
    ( ~ epred34_0
  <=> ! [X3] :
        ( c0_1(X3)
        | ~ c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_634,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_635,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_636,negated_conjecture,
    ( epred5_0
    | c0_1(X1)
    | hskp4
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_571]),c_0_325])]) ).

cnf(c_0_637,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp11
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_593,c_0_325])]) ).

cnf(c_0_638,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_356,c_0_362]) ).

cnf(c_0_639,negated_conjecture,
    ( epred39_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_373]),c_0_595]),c_0_596]) ).

cnf(c_0_640,negated_conjecture,
    ( epred37_0
    | epred30_0
    | epred26_0
    | hskp4
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_597,c_0_598]) ).

cnf(c_0_641,negated_conjecture,
    ( epred37_0
    | epred4_0
    | hskp13
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_599,c_0_387]) ).

cnf(c_0_642,negated_conjecture,
    ( epred29_0
    | epred4_0
    | hskp16
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_532,c_0_407]) ).

cnf(c_0_643,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3) ),
    i_0_55 ).

cnf(c_0_644,negated_conjecture,
    ( epred39_0
    | epred27_0
    | epred22_0
    | epred7_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_600,c_0_601]) ).

cnf(c_0_645,negated_conjecture,
    ( epred29_0
    | epred22_0
    | epred7_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_602,c_0_603]) ).

cnf(c_0_646,negated_conjecture,
    ( epred39_0
    | epred16_0
    | hskp22
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_447]),c_0_448]) ).

cnf(c_0_647,negated_conjecture,
    ( epred39_0
    | epred22_0
    | epred17_0
    | epred7_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_600,c_0_605]) ).

cnf(c_0_648,negated_conjecture,
    ( epred25_0
    | hskp7
    | ~ c3_1(a297)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_334]),c_0_336]) ).

cnf(c_0_649,negated_conjecture,
    ( epred26_0
    | c3_1(a297)
    | hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_334]),c_0_335]) ).

cnf(c_0_650,negated_conjecture,
    ( epred29_0
    | hskp16
    | ~ c3_1(a294)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_344]),c_0_341]) ).

cnf(c_0_651,negated_conjecture,
    ( epred22_0
    | epred16_0
    | hskp22
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_422,c_0_606]) ).

cnf(c_0_652,negated_conjecture,
    ( epred12_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_607,c_0_590]) ).

cnf(c_0_653,negated_conjecture,
    ( hskp9
    | hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_56 ).

cnf(c_0_654,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp28
    | hskp4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_608,c_0_325])]) ).

cnf(c_0_655,negated_conjecture,
    ( hskp4
    | hskp6
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_58 ).

cnf(c_0_656,negated_conjecture,
    ( hskp8
    | hskp15
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_48 ).

cnf(c_0_657,negated_conjecture,
    ( hskp8
    | hskp23
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_31 ).

cnf(c_0_658,negated_conjecture,
    ( hskp4
    | hskp11
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    i_0_45 ).

cnf(c_0_659,negated_conjecture,
    ( hskp26
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_609,c_0_325])]) ).

cnf(c_0_660,negated_conjecture,
    ( hskp13
    | hskp16
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    i_0_46 ).

cnf(c_0_661,negated_conjecture,
    ( epred38_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_610]),c_0_325])]) ).

cnf(c_0_662,negated_conjecture,
    ( hskp16
    | hskp24
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    i_0_27 ).

fof(c_0_663,plain,
    ( ~ epred36_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_664,negated_conjecture,
    ( epred39_0
    | hskp3
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_393,c_0_611]) ).

cnf(c_0_665,negated_conjecture,
    ( c1_1(a306)
    | ~ hskp11 ),
    i_0_151 ).

cnf(c_0_666,negated_conjecture,
    ( c3_1(a306)
    | ~ hskp11 ),
    i_0_150 ).

cnf(c_0_667,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a306) ),
    i_0_149 ).

cnf(c_0_668,negated_conjecture,
    ( epred35_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_612]) ).

cnf(c_0_669,negated_conjecture,
    ( epred3_0
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_328]),c_0_359]) ).

cnf(c_0_670,negated_conjecture,
    ( hskp9
    | hskp16
    | hskp22 ),
    i_0_10 ).

cnf(c_0_671,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    i_0_30 ).

cnf(c_0_672,negated_conjecture,
    ( epred40_0
    | epred24_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_613,c_0_614]) ).

cnf(c_0_673,negated_conjecture,
    ( epred40_0
    | epred25_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_615]),c_0_507]) ).

cnf(c_0_674,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    i_0_28 ).

cnf(c_0_675,negated_conjecture,
    ( epred42_0
    | epred39_0
    | epred8_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_617]),c_0_618]) ).

cnf(c_0_676,negated_conjecture,
    ( epred42_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_567]),c_0_619]) ).

cnf(c_0_677,negated_conjecture,
    ( epred40_0
    | ~ c3_1(a304)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_367]),c_0_558]) ).

cnf(c_0_678,negated_conjecture,
    ( epred23_0
    | c3_1(a304)
    | hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_557]),c_0_558]) ).

cnf(c_0_679,negated_conjecture,
    ( epred22_0
    | epred16_0
    | hskp22
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_492,c_0_621]) ).

cnf(c_0_680,negated_conjecture,
    ( epred41_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_622,c_0_362]) ).

cnf(c_0_681,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    i_0_35 ).

cnf(c_0_682,negated_conjecture,
    ( epred39_0
    | epred12_0
    | epred10_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_623,c_0_624]) ).

cnf(c_0_683,negated_conjecture,
    ( epred20_0
    | epred12_0
    | epred9_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_625,c_0_626]) ).

cnf(c_0_684,negated_conjecture,
    ( epred20_0
    | epred12_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_627,c_0_628]) ).

cnf(c_0_685,negated_conjecture,
    ( epred20_0
    | epred12_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_629,c_0_630]) ).

cnf(c_0_686,negated_conjecture,
    ( epred12_0
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_411,c_0_631]) ).

cnf(c_0_687,negated_conjecture,
    ( hskp20
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_632,c_0_471]) ).

cnf(c_0_688,negated_conjecture,
    ( epred34_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_633]) ).

cnf(c_0_689,negated_conjecture,
    ( c2_1(a298)
    | ~ hskp6 ),
    i_0_171 ).

cnf(c_0_690,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a298) ),
    i_0_170 ).

cnf(c_0_691,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a298) ),
    i_0_169 ).

cnf(c_0_692,negated_conjecture,
    ( epred28_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_634]) ).

cnf(c_0_693,negated_conjecture,
    ( c1_1(a305)
    | ~ hskp10 ),
    i_0_155 ).

cnf(c_0_694,negated_conjecture,
    ( c2_1(a305)
    | ~ hskp10 ),
    i_0_154 ).

cnf(c_0_695,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a305) ),
    i_0_153 ).

cnf(c_0_696,negated_conjecture,
    ( c1_1(a296)
    | ~ hskp28 ),
    i_0_83 ).

cnf(c_0_697,negated_conjecture,
    ( c2_1(a296)
    | ~ hskp28 ),
    i_0_82 ).

cnf(c_0_698,negated_conjecture,
    ( c3_1(a296)
    | ~ hskp28 ),
    i_0_81 ).

cnf(c_0_699,negated_conjecture,
    ( epred24_0
    | epred12_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_356,c_0_554]) ).

cnf(c_0_700,negated_conjecture,
    ( epred33_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_635]),c_0_325])]) ).

fof(c_0_701,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( hskp20
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_702,negated_conjecture,
    ( epred5_0
    | hskp4
    | ~ c3_1(a297)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_334]),c_0_336]) ).

cnf(c_0_703,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_638]),c_0_508]) ).

cnf(c_0_704,negated_conjecture,
    ( epred39_0
    | epred37_0
    | epred30_0
    | epred26_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_639,c_0_640]) ).

cnf(c_0_705,negated_conjecture,
    ( epred37_0
    | epred29_0
    | epred4_0
    | hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_641]),c_0_642]) ).

cnf(c_0_706,negated_conjecture,
    ( ~ epred38_0
    | ~ epred34_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_610]),c_0_345]),c_0_633]) ).

cnf(c_0_707,negated_conjecture,
    ( epred39_0
    | epred29_0
    | epred27_0
    | epred22_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_644,c_0_645]) ).

cnf(c_0_708,negated_conjecture,
    ( epred39_0
    | epred16_0
    | epred4_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_353,c_0_646]) ).

cnf(c_0_709,negated_conjecture,
    ( epred27_0
    | epred21_0
    | epred7_0
    | hskp15
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_449,c_0_363]) ).

cnf(c_0_710,negated_conjecture,
    ( epred39_0
    | epred29_0
    | epred22_0
    | epred17_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_647,c_0_645]) ).

cnf(c_0_711,negated_conjecture,
    ( epred26_0
    | epred25_0
    | hskp9
    | hskp7
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_648,c_0_649]) ).

cnf(c_0_712,negated_conjecture,
    ( epred29_0
    | hskp20
    | hskp16
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_650,c_0_479]) ).

cnf(c_0_713,negated_conjecture,
    ( epred22_0
    | epred16_0
    | hskp27
    | hskp24
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_651,c_0_458]) ).

cnf(c_0_714,negated_conjecture,
    ( epred17_0
    | c2_1(a341)
    | hskp29
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_498]),c_0_500]) ).

cnf(c_0_715,negated_conjecture,
    ( epred18_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp3
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_333,c_0_362]) ).

cnf(c_0_716,negated_conjecture,
    ( epred12_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_390]),c_0_652]) ).

cnf(c_0_717,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp10
    | hskp9
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_653,c_0_325])]) ).

cnf(c_0_718,negated_conjecture,
    ( epred41_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp28
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_622,c_0_654]) ).

cnf(c_0_719,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp6
    | hskp4
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_655,c_0_325])]) ).

cnf(c_0_720,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp15
    | hskp8
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_656,c_0_325])]) ).

cnf(c_0_721,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | hskp23
    | hskp8
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_657,c_0_325])]) ).

cnf(c_0_722,negated_conjecture,
    ( c0_1(X1)
    | hskp11
    | hskp4
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_658,c_0_325])]) ).

cnf(c_0_723,negated_conjecture,
    ( epred24_0
    | hskp26
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_659,c_0_342]) ).

cnf(c_0_724,negated_conjecture,
    ( c0_1(X1)
    | hskp16
    | hskp13
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_660,c_0_325])]) ).

cnf(c_0_725,negated_conjecture,
    ( epred38_0
    | epred8_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_661,c_0_434]) ).

cnf(c_0_726,negated_conjecture,
    ( c1_1(X1)
    | hskp24
    | hskp16
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_662,c_0_325])]) ).

cnf(c_0_727,negated_conjecture,
    ( epred36_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_663]),c_0_325])]) ).

cnf(c_0_728,negated_conjecture,
    ( epred39_0
    | epred16_0
    | hskp3
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_664,c_0_646]) ).

cnf(c_0_729,negated_conjecture,
    ( epred27_0
    | hskp15
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_665]),c_0_666]),c_0_667]) ).

cnf(c_0_730,negated_conjecture,
    ( epred35_0
    | epred3_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_668,c_0_328]) ).

cnf(c_0_731,negated_conjecture,
    ( epred3_0
    | hskp13
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_669,c_0_387]) ).

cnf(c_0_732,negated_conjecture,
    ( epred29_0
    | epred3_0
    | hskp16
    | hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_532,c_0_439]) ).

cnf(c_0_733,negated_conjecture,
    ( epred4_0
    | hskp16
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_353,c_0_670]) ).

cnf(c_0_734,negated_conjecture,
    ( ~ epred29_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_671,c_0_452]),c_0_331]) ).

cnf(c_0_735,negated_conjecture,
    ( epred40_0
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_541]) ).

cnf(c_0_736,negated_conjecture,
    ( ~ epred26_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_674,c_0_488]),c_0_331]) ).

cnf(c_0_737,negated_conjecture,
    ( epred42_0
    | epred39_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_675]),c_0_676]) ).

cnf(c_0_738,negated_conjecture,
    ( epred40_0
    | epred23_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_678]),c_0_507]) ).

cnf(c_0_739,negated_conjecture,
    ( c1_1(a311)
    | ~ hskp15 ),
    i_0_134 ).

cnf(c_0_740,negated_conjecture,
    ( epred22_0
    | epred16_0
    | epred4_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_353,c_0_679]) ).

cnf(c_0_741,negated_conjecture,
    ( epred41_0
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_680]),c_0_350]) ).

cnf(c_0_742,negated_conjecture,
    ( epred20_0
    | epred16_0
    | hskp22
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_478,c_0_621]) ).

cnf(c_0_743,negated_conjecture,
    ( ~ epred16_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_681,c_0_534]),c_0_371]) ).

cnf(c_0_744,negated_conjecture,
    ( epred39_0
    | epred20_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_683]),c_0_684]),c_0_685]) ).

cnf(c_0_745,negated_conjecture,
    ( epred42_0
    | ~ epred10_0 ),
    inference(spm,[status(thm)],[c_0_629,c_0_676]) ).

cnf(c_0_746,negated_conjecture,
    ( epred12_0
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_686,c_0_687]) ).

cnf(c_0_747,negated_conjecture,
    ( epred34_0
    | ~ c3_1(a298)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_690]) ).

cnf(c_0_748,negated_conjecture,
    ( c3_1(a298)
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_362]),c_0_690]) ).

cnf(c_0_749,negated_conjecture,
    ( epred12_0
    | hskp13
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_441]),c_0_520]) ).

cnf(c_0_750,negated_conjecture,
    ( epred28_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_557]),c_0_558]),c_0_559]) ).

cnf(c_0_751,negated_conjecture,
    ( epred39_0
    | hskp16
    | hskp9
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_664,c_0_670]) ).

cnf(c_0_752,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a359) ),
    i_0_90 ).

cnf(c_0_753,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a359) ),
    i_0_89 ).

cnf(c_0_754,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a359) ),
    i_0_91 ).

cnf(c_0_755,negated_conjecture,
    ( hskp23
    | ~ c0_1(a305)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_693]),c_0_694]) ).

cnf(c_0_756,negated_conjecture,
    ( epred7_0
    | c0_1(a305)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_693]),c_0_695]) ).

cnf(c_0_757,negated_conjecture,
    ( hskp23
    | ~ c0_1(a296)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_696]),c_0_697]) ).

cnf(c_0_758,negated_conjecture,
    ( epred5_0
    | c0_1(a296)
    | hskp4
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_696]),c_0_698]) ).

cnf(c_0_759,negated_conjecture,
    ( epred34_0
    | c0_1(a296)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_697]),c_0_698]) ).

cnf(c_0_760,negated_conjecture,
    ( epred18_0
    | c0_1(a296)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_696]),c_0_697]) ).

cnf(c_0_761,negated_conjecture,
    ( epred22_0
    | ~ c0_1(a296)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_697]),c_0_698]) ).

cnf(c_0_762,negated_conjecture,
    ( epred24_0
    | epred3_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_368]),c_0_329]) ).

cnf(c_0_763,negated_conjecture,
    ( epred24_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_699]),c_0_590]) ).

cnf(c_0_764,negated_conjecture,
    ( epred38_0
    | epred33_0
    | c0_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_661,c_0_700]) ).

cnf(c_0_765,negated_conjecture,
    ( epred11_0
    | c3_1(X1)
    | hskp20
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_701]),c_0_325])]) ).

cnf(c_0_766,negated_conjecture,
    ( epred35_0
    | epred4_0
    | c3_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_668,c_0_339]) ).

cnf(c_0_767,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    i_0_54 ).

cnf(c_0_768,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    i_0_51 ).

cnf(c_0_769,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c3_1(X2)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X3) ),
    i_0_57 ).

cnf(c_0_770,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    i_0_62 ).

cnf(c_0_771,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    i_0_22 ).

cnf(c_0_772,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    i_0_43 ).

cnf(c_0_773,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    i_0_29 ).

cnf(c_0_774,negated_conjecture,
    ( hskp29
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    i_0_60 ).

cnf(c_0_775,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    i_0_37 ).

cnf(c_0_776,negated_conjecture,
    ( epred5_0
    | hskp4
    | epred24_0
    | c0_1(a297)
    | hskp11
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_702,c_0_703]) ).

cnf(c_0_777,negated_conjecture,
    ( epred39_0
    | epred37_0
    | epred30_0
    | epred26_0
    | epred29_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_704,c_0_705]) ).

cnf(c_0_778,negated_conjecture,
    ( epred39_0
    | epred29_0
    | epred27_0
    | epred22_0
    | ~ epred38_0
    | ~ epred34_0 ),
    inference(spm,[status(thm)],[c_0_706,c_0_707]) ).

cnf(c_0_779,negated_conjecture,
    ( epred39_0
    | epred16_0
    | epred4_0
    | epred27_0
    | epred21_0
    | epred7_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_708,c_0_709]) ).

cnf(c_0_780,negated_conjecture,
    ( epred39_0
    | epred29_0
    | epred22_0
    | epred17_0
    | ~ epred38_0
    | ~ epred34_0 ),
    inference(spm,[status(thm)],[c_0_706,c_0_710]) ).

cnf(c_0_781,negated_conjecture,
    ( epred26_0
    | epred25_0
    | hskp9
    | hskp7
    | epred21_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_711,c_0_363]) ).

cnf(c_0_782,negated_conjecture,
    ( epred39_0
    | epred8_0
    | epred1_0
    | hskp8
    | epred29_0
    | hskp16
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_578,c_0_712]) ).

cnf(c_0_783,negated_conjecture,
    ( epred17_0
    | hskp29
    | epred22_0
    | epred16_0
    | hskp24
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_501,c_0_713]) ).

cnf(c_0_784,negated_conjecture,
    ( epred38_0
    | c0_1(a341)
    | c3_1(a341)
    | epred17_0
    | hskp29
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_661,c_0_714]) ).

cnf(c_0_785,negated_conjecture,
    ( epred10_0
    | c0_1(a341)
    | c3_1(a341)
    | hskp13
    | epred17_0
    | hskp29
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_584,c_0_714]) ).

cnf(c_0_786,negated_conjecture,
    ( epred6_0
    | c0_1(a329)
    | c1_1(a329)
    | hskp7
    | epred8_0
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_504,c_0_477]) ).

cnf(c_0_787,negated_conjecture,
    ( epred18_0
    | c0_1(a315)
    | c3_1(a315)
    | hskp3
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_715,c_0_348]) ).

cnf(c_0_788,negated_conjecture,
    ( epred6_0
    | c0_1(a329)
    | c1_1(a329)
    | hskp7
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_504,c_0_631]) ).

cnf(c_0_789,negated_conjecture,
    ( epred12_0
    | c0_1(a337)
    | c2_1(a337)
    | hskp4
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_716,c_0_464]) ).

cnf(c_0_790,negated_conjecture,
    ( c0_1(a368)
    | c2_1(a368)
    | hskp10
    | hskp9
    | epred7_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_717,c_0_543]) ).

cnf(c_0_791,negated_conjecture,
    ( epred41_0
    | c0_1(a315)
    | hskp28
    | hskp4
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_349,c_0_718]) ).

cnf(c_0_792,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp6
    | hskp4
    | c3_1(X1)
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_719,c_0_654]) ).

cnf(c_0_793,negated_conjecture,
    ( c0_1(a331)
    | c3_1(a331)
    | hskp28
    | hskp4
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_327,c_0_654]) ).

cnf(c_0_794,negated_conjecture,
    ( c0_1(a337)
    | c2_1(a337)
    | hskp6
    | hskp4
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_719,c_0_466]) ).

cnf(c_0_795,negated_conjecture,
    ( c0_1(a315)
    | c3_1(a315)
    | hskp15
    | hskp8
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_720,c_0_348]) ).

cnf(c_0_796,negated_conjecture,
    ( c3_1(a294)
    | c1_1(a294)
    | hskp23
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_721,c_0_343]) ).

cnf(c_0_797,negated_conjecture,
    ( c0_1(a337)
    | c2_1(a337)
    | hskp10
    | hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_717,c_0_464]) ).

cnf(c_0_798,negated_conjecture,
    ( c0_1(a297)
    | hskp11
    | hskp4
    | ~ c2_1(a297)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_722,c_0_334]) ).

cnf(c_0_799,negated_conjecture,
    ( c0_1(a341)
    | hskp11
    | hskp4
    | ~ c2_1(a341)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_722,c_0_498]) ).

cnf(c_0_800,negated_conjecture,
    ( epred24_0
    | hskp26
    | hskp3
    | ~ c0_1(a367)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[c_0_723,c_0_395]) ).

cnf(c_0_801,negated_conjecture,
    ( epred24_0
    | hskp26
    | hskp3
    | ~ c0_1(a301)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_723,c_0_459]) ).

cnf(c_0_802,negated_conjecture,
    ( c0_1(a297)
    | hskp16
    | hskp13
    | ~ c2_1(a297)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_724,c_0_334]) ).

cnf(c_0_803,negated_conjecture,
    ( epred38_0
    | epred8_0
    | c0_1(a341)
    | hskp8
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_499,c_0_725]) ).

cnf(c_0_804,negated_conjecture,
    ( c1_1(a294)
    | hskp24
    | hskp16
    | ~ c2_1(a294)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_726,c_0_344]) ).

cnf(c_0_805,negated_conjecture,
    ( epred38_0
    | c0_1(a297)
    | c3_1(a297)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_661,c_0_335]) ).

cnf(c_0_806,negated_conjecture,
    ( epred38_0
    | c0_1(a315)
    | c3_1(a315)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_661,c_0_348]) ).

cnf(c_0_807,negated_conjecture,
    ( epred36_0
    | c0_1(a337)
    | ~ hskp23
    | ~ c3_1(a337) ),
    inference(spm,[status(thm)],[c_0_463,c_0_727]) ).

cnf(c_0_808,negated_conjecture,
    ( epred39_0
    | epred27_0
    | epred16_0
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_728,c_0_729]) ).

cnf(c_0_809,negated_conjecture,
    ( epred35_0
    | epred3_0
    | hskp3
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_730]),c_0_596]) ).

cnf(c_0_810,negated_conjecture,
    ( epred29_0
    | epred3_0
    | hskp16
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_731]),c_0_732]) ).

cnf(c_0_811,negated_conjecture,
    ( epred30_0
    | epred4_0
    | hskp16
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_597,c_0_733]) ).

cnf(c_0_812,negated_conjecture,
    ( epred30_0
    | hskp4
    | ~ c0_1(a337)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_466]),c_0_463]) ).

cnf(c_0_813,negated_conjecture,
    ( epred40_0
    | ~ epred29_0 ),
    inference(spm,[status(thm)],[c_0_734,c_0_735]) ).

cnf(c_0_814,negated_conjecture,
    ( epred40_0
    | ~ epred26_0 ),
    inference(spm,[status(thm)],[c_0_736,c_0_735]) ).

cnf(c_0_815,negated_conjecture,
    ( epred26_0
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_693]),c_0_694]),c_0_695]) ).

cnf(c_0_816,negated_conjecture,
    ( epred42_0
    | epred39_0
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_627,c_0_737]) ).

cnf(c_0_817,negated_conjecture,
    ( epred40_0
    | epred23_0
    | epred4_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_738,c_0_733]) ).

cnf(c_0_818,negated_conjecture,
    ( epred23_0
    | hskp7
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_739]),c_0_447]),c_0_448]) ).

cnf(c_0_819,negated_conjecture,
    ( epred41_0
    | epred22_0
    | epred16_0
    | epred4_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_740,c_0_741]) ).

cnf(c_0_820,negated_conjecture,
    ( epred20_0
    | epred16_0
    | epred4_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_353,c_0_742]) ).

cnf(c_0_821,negated_conjecture,
    ( epred39_0
    | epred20_0
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_743,c_0_744]) ).

cnf(c_0_822,negated_conjecture,
    ( epred42_0
    | epred39_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_624]),c_0_745]) ).

cnf(c_0_823,negated_conjecture,
    ( epred12_0
    | hskp23
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_746,c_0_509]),c_0_520]) ).

cnf(c_0_824,negated_conjecture,
    ( epred34_0
    | hskp3
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_747,c_0_748]) ).

cnf(c_0_825,negated_conjecture,
    ( epred39_0
    | epred12_0
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_623,c_0_749]) ).

cnf(c_0_826,negated_conjecture,
    ( epred39_0
    | epred28_0
    | hskp16
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_750,c_0_751]) ).

cnf(c_0_827,negated_conjecture,
    ( epred39_0
    | hskp16
    | hskp5
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_664,c_0_338]) ).

cnf(c_0_828,negated_conjecture,
    ( hskp3
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_362]),c_0_753]),c_0_754]) ).

cnf(c_0_829,negated_conjecture,
    ( epred7_0
    | hskp23
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_755,c_0_756]) ).

cnf(c_0_830,negated_conjecture,
    ( epred5_0
    | hskp23
    | hskp4
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_757,c_0_758]) ).

cnf(c_0_831,negated_conjecture,
    ( epred34_0
    | hskp23
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_757,c_0_759]) ).

cnf(c_0_832,negated_conjecture,
    ( epred18_0
    | hskp23
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_757,c_0_760]) ).

cnf(c_0_833,negated_conjecture,
    ( epred5_0
    | hskp4
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_665]),c_0_666]),c_0_667]) ).

cnf(c_0_834,negated_conjecture,
    ( epred5_0
    | c0_1(a337)
    | hskp4
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_466]),c_0_464]) ).

cnf(c_0_835,negated_conjecture,
    ( epred22_0
    | epred5_0
    | hskp4
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_761,c_0_758]) ).

cnf(c_0_836,negated_conjecture,
    ( epred34_0
    | ~ c3_1(a297)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_335]),c_0_336]) ).

cnf(c_0_837,negated_conjecture,
    ( epred34_0
    | epred22_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_761,c_0_759]) ).

cnf(c_0_838,negated_conjecture,
    ( epred28_0
    | ~ c0_1(a337)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_466]),c_0_463]) ).

cnf(c_0_839,negated_conjecture,
    ( epred24_0
    | epred3_0
    | hskp16
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_762,c_0_338]) ).

cnf(c_0_840,negated_conjecture,
    ( epred24_0
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_743,c_0_763]) ).

cnf(c_0_841,negated_conjecture,
    ( epred9_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_466]),c_0_464]),c_0_463]) ).

cnf(c_0_842,negated_conjecture,
    ( epred38_0
    | epred33_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_764]),c_0_500]) ).

cnf(c_0_843,negated_conjecture,
    ( epred11_0
    | hskp20
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_595]),c_0_596]) ).

cnf(c_0_844,negated_conjecture,
    ( epred35_0
    | epred4_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_766]),c_0_596]) ).

cnf(c_0_845,negated_conjecture,
    ( ~ epred42_0
    | ~ epred41_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_767,c_0_583]),c_0_410]),c_0_515]) ).

cnf(c_0_846,negated_conjecture,
    ( ~ epred40_0
    | ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_768,c_0_610]),c_0_360]),c_0_355]) ).

cnf(c_0_847,negated_conjecture,
    ( ~ epred37_0
    | ~ epred36_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_769,c_0_663]),c_0_489]),c_0_410]) ).

cnf(c_0_848,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_770,c_0_635]),c_0_633]),c_0_612]) ).

cnf(c_0_849,negated_conjecture,
    ( ~ epred30_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_771,c_0_524]),c_0_354]) ).

cnf(c_0_850,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_772,c_0_372]),c_0_634]) ).

cnf(c_0_851,negated_conjecture,
    ( ~ epred24_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_773,c_0_582]),c_0_331]) ).

cnf(c_0_852,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_774,c_0_421]),c_0_326]) ).

cnf(c_0_853,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_775,c_0_375]),c_0_701]),c_0_371]) ).

cnf(c_0_854,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_776,c_0_777,c_0_778,c_0_779,c_0_780,c_0_781,c_0_782,c_0_783,c_0_784,c_0_785,c_0_786,c_0_787,c_0_788,c_0_789,c_0_790,c_0_791,c_0_792,c_0_793,c_0_794,c_0_795,c_0_796,c_0_797,c_0_798,c_0_799,c_0_800,c_0_801,c_0_802,c_0_803,c_0_804,c_0_805,c_0_806,c_0_807,c_0_808,c_0_809,c_0_810,c_0_811,c_0_597,c_0_812,c_0_712,c_0_650,c_0_813,c_0_814,c_0_735,c_0_603,c_0_566,c_0_642,c_0_815,c_0_816,c_0_539,c_0_817,c_0_738,c_0_818,c_0_819,c_0_377,c_0_714,c_0_501,c_0_820,c_0_742,c_0_821,c_0_822,c_0_823,c_0_824,c_0_825,c_0_826,c_0_827,c_0_664,c_0_828,c_0_829,c_0_830,c_0_831,c_0_832,c_0_577,c_0_833,c_0_834,c_0_835,c_0_505,c_0_507,c_0_639,c_0_393,c_0_836,c_0_837,c_0_750,c_0_838,c_0_839,c_0_840,c_0_356,c_0_503,c_0_364,c_0_379,c_0_652,c_0_590,c_0_841,c_0_535,c_0_365,c_0_353,c_0_842,c_0_843,c_0_420,c_0_405,c_0_765,c_0_844,c_0_352,c_0_373,c_0_845,c_0_706,c_0_846,c_0_847,c_0_848,c_0_849,c_0_734,c_0_850,c_0_736,c_0_428,c_0_851,c_0_472,c_0_852,c_0_743,c_0_853,c_0_629,c_0_627,c_0_613,c_0_607,c_0_400,c_0_600,c_0_456,c_0_455,c_0_500,c_0_499,c_0_463,c_0_329,c_0_435,c_0_389,c_0_350,c_0_349,c_0_336,c_0_341,c_0_414,c_0_413,c_0_461,c_0_396,c_0_464,c_0_343,c_0_335,c_0_458,c_0_321]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SYN468+1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.08/0.29  % Computer : n007.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Mon Jul 11 20:00:04 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.13/0.38  # ENIGMATIC: Selected complete mode:
% 22.94/4.51  # ENIGMATIC: Solved by autoschedule:
% 22.94/4.51  # No SInE strategy applied
% 22.94/4.51  # Trying AutoSched0 for 150 seconds
% 22.94/4.51  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.94/4.51  # and selection function SelectMaxLComplexAvoidPosPred.
% 22.94/4.51  #
% 22.94/4.51  # Preprocessing time       : 0.025 s
% 22.94/4.51  # SatCheck found unsatisfiable ground set
% 22.94/4.51  
% 22.94/4.51  # Proof found!
% 22.94/4.51  # SZS status Theorem
% 22.94/4.51  # SZS output start CNFRefutation
% See solution above
% 22.94/4.51  # Training examples: 0 positive, 0 negative
% 22.94/4.51  
% 22.94/4.51  # -------------------------------------------------
% 22.94/4.51  # User time                : 1.332 s
% 22.94/4.51  # System time              : 0.041 s
% 22.94/4.51  # Total time               : 1.373 s
% 22.94/4.51  # Maximum resident set size: 7120 pages
% 22.94/4.51  
%------------------------------------------------------------------------------