TSTP Solution File: SYN466+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN466+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 04:53:40 EDT 2022

% Result   : Theorem 15.77s 3.39s
% Output   : CNFRefutation 15.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  174
% Syntax   : Number of formulae    :  568 (   2 unt;   0 def)
%            Number of atoms       : 2138 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2592 (1022   ~;1525   |;   0   &)
%                                         (  45 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   80 (  79 usr;  76 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  249 (   0 sgn  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_164,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_164) ).

cnf(i_0_2,negated_conjecture,
    ( hskp8
    | hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_2) ).

cnf(i_0_96,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_96) ).

cnf(i_0_62,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_62) ).

cnf(i_0_73,negated_conjecture,
    ( c3_1(a131)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_73) ).

cnf(i_0_75,negated_conjecture,
    ( c0_1(a131)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_75) ).

cnf(i_0_18,negated_conjecture,
    ( hskp19
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_18) ).

cnf(i_0_87,negated_conjecture,
    ( c2_1(a196)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_87) ).

cnf(i_0_85,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a196) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_85) ).

cnf(i_0_86,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a196) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_86) ).

cnf(i_0_159,negated_conjecture,
    ( c2_1(a110)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_159) ).

cnf(i_0_157,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a110) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_157) ).

cnf(i_0_158,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a110) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_158) ).

cnf(i_0_69,negated_conjecture,
    ( c3_1(a141)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_69) ).

cnf(i_0_71,negated_conjecture,
    ( c0_1(a141)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_71) ).

cnf(i_0_70,negated_conjecture,
    ( c1_1(a141)
    | ~ hskp31 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_70) ).

cnf(i_0_74,negated_conjecture,
    ( c2_1(a131)
    | ~ hskp30 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_74) ).

cnf(i_0_93,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a167) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_93) ).

cnf(i_0_94,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a167) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_94) ).

cnf(i_0_95,negated_conjecture,
    ( c1_1(a167)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_95) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a126) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_129) ).

cnf(i_0_131,negated_conjecture,
    ( c1_1(a126)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_131) ).

cnf(i_0_130,negated_conjecture,
    ( c3_1(a126)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_130) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a106) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_173) ).

cnf(i_0_174,negated_conjecture,
    ( c1_1(a106)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_174) ).

cnf(i_0_175,negated_conjecture,
    ( c0_1(a106)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_175) ).

cnf(i_0_142,negated_conjecture,
    ( c2_1(a114)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_142) ).

cnf(i_0_143,negated_conjecture,
    ( c1_1(a114)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_143) ).

cnf(i_0_141,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a114) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_141) ).

cnf(i_0_195,negated_conjecture,
    ( c2_1(a101)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_195) ).

cnf(i_0_194,negated_conjecture,
    ( c3_1(a101)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_194) ).

cnf(i_0_193,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a101) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_193) ).

cnf(i_0_27,negated_conjecture,
    ( hskp21
    | hskp29
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_27) ).

cnf(i_0_179,negated_conjecture,
    ( c2_1(a105)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_179) ).

cnf(i_0_177,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a105) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_177) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_145) ).

cnf(i_0_147,negated_conjecture,
    ( c3_1(a113)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_147) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a113) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_146) ).

cnf(i_0_98,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a163) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_98) ).

cnf(i_0_97,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a163) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_97) ).

cnf(i_0_99,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a163) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_99) ).

cnf(i_0_8,negated_conjecture,
    ( hskp24
    | hskp30
    | hskp31 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_8) ).

cnf(i_0_118,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a135) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_118) ).

cnf(i_0_119,negated_conjecture,
    ( c0_1(a135)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_119) ).

cnf(i_0_117,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a135) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_117) ).

cnf(i_0_6,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_6) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a109) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_161) ).

cnf(i_0_163,negated_conjecture,
    ( c1_1(a109)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_163) ).

cnf(i_0_162,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a109) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_162) ).

cnf(i_0_1,negated_conjecture,
    ( hskp24
    | hskp25
    | hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_1) ).

cnf(i_0_50,negated_conjecture,
    ( hskp15
    | hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_50) ).

cnf(i_0_135,negated_conjecture,
    ( c0_1(a117)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_135) ).

cnf(i_0_133,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a117) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_133) ).

cnf(i_0_191,negated_conjecture,
    ( c2_1(a102)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_191) ).

cnf(i_0_190,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a102) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_190) ).

cnf(i_0_154,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a111) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_154) ).

cnf(i_0_155,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a111) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_155) ).

cnf(i_0_15,negated_conjecture,
    ( hskp1
    | hskp24
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_15) ).

cnf(i_0_21,negated_conjecture,
    ( hskp4
    | hskp23
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_21) ).

cnf(i_0_16,negated_conjecture,
    ( hskp4
    | hskp29
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_16) ).

cnf(i_0_24,negated_conjecture,
    ( hskp28
    | hskp31
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_24) ).

cnf(i_0_138,negated_conjecture,
    ( c2_1(a116)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_138) ).

cnf(i_0_139,negated_conjecture,
    ( c0_1(a116)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_139) ).

cnf(i_0_137,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a116) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_137) ).

cnf(i_0_5,negated_conjecture,
    ( hskp4
    | hskp5
    | hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_5) ).

cnf(i_0_153,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a111) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_153) ).

cnf(i_0_77,negated_conjecture,
    ( c2_1(a128)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_77) ).

cnf(i_0_78,negated_conjecture,
    ( c1_1(a128)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_78) ).

cnf(i_0_91,negated_conjecture,
    ( c0_1(a187)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_91) ).

cnf(i_0_89,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a187) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_89) ).

cnf(i_0_90,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a187) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_90) ).

cnf(i_0_151,negated_conjecture,
    ( c1_1(a112)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_151) ).

cnf(i_0_150,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a112) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_150) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a112) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_149) ).

cnf(i_0_82,negated_conjecture,
    ( c2_1(a118)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_82) ).

cnf(i_0_81,negated_conjecture,
    ( c3_1(a118)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_81) ).

cnf(i_0_185,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a103) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_185) ).

cnf(i_0_187,negated_conjecture,
    ( c0_1(a103)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_187) ).

cnf(i_0_170,negated_conjecture,
    ( c2_1(a107)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_170) ).

cnf(i_0_169,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a107) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_169) ).

cnf(i_0_171,negated_conjecture,
    ( c1_1(a107)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_171) ).

cnf(i_0_83,negated_conjecture,
    ( c1_1(a118)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_83) ).

cnf(i_0_115,negated_conjecture,
    ( c0_1(a139)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_115) ).

cnf(i_0_178,negated_conjecture,
    ( c3_1(a105)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_178) ).

cnf(i_0_134,negated_conjecture,
    ( c3_1(a117)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_134) ).

cnf(i_0_122,negated_conjecture,
    ( c3_1(a134)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_122) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a139) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_113) ).

cnf(i_0_127,negated_conjecture,
    ( c3_1(a132)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_127) ).

cnf(i_0_109,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a143) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_109) ).

cnf(i_0_189,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a102) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_189) ).

cnf(i_0_3,negated_conjecture,
    ( hskp4
    | hskp11
    | hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_3) ).

cnf(i_0_101,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a153) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_101) ).

cnf(i_0_103,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a153) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_103) ).

cnf(i_0_102,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a153) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_102) ).

cnf(i_0_111,negated_conjecture,
    ( c3_1(a143)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_111) ).

cnf(i_0_110,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a143) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_110) ).

cnf(i_0_79,negated_conjecture,
    ( c0_1(a128)
    | ~ hskp29 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_79) ).

cnf(i_0_7,negated_conjecture,
    ( hskp5
    | hskp13
    | hskp15 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_7) ).

cnf(i_0_123,negated_conjecture,
    ( c0_1(a134)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_123) ).

cnf(i_0_126,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a132) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_126) ).

cnf(i_0_125,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a132) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_125) ).

cnf(i_0_54,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_54) ).

cnf(i_0_35,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_35) ).

cnf(i_0_30,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_30) ).

cnf(i_0_58,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_58) ).

cnf(i_0_49,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_49) ).

cnf(i_0_48,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_48) ).

cnf(i_0_57,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_57) ).

cnf(i_0_40,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_40) ).

cnf(i_0_63,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_63) ).

cnf(i_0_28,negated_conjecture,
    ( hskp31
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_28) ).

cnf(i_0_13,negated_conjecture,
    ( hskp1
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_13) ).

cnf(i_0_31,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_31) ).

cnf(i_0_26,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_26) ).

cnf(i_0_29,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_29) ).

cnf(i_0_17,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_17) ).

cnf(i_0_59,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_59) ).

cnf(i_0_47,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_47) ).

cnf(i_0_34,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_34) ).

cnf(i_0_37,negated_conjecture,
    ( hskp17
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_37) ).

cnf(i_0_51,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_51) ).

cnf(i_0_53,negated_conjecture,
    ( hskp13
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_53) ).

cnf(i_0_38,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_38) ).

cnf(i_0_43,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_43) ).

cnf(i_0_52,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_52) ).

cnf(i_0_65,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_65) ).

cnf(i_0_66,negated_conjecture,
    ( hskp1
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_66) ).

cnf(i_0_67,negated_conjecture,
    ( hskp0
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_67) ).

cnf(i_0_114,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a139) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9ykl1i1g/input.p',i_0_114) ).

cnf(c_0_325,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    i_0_164 ).

cnf(c_0_326,negated_conjecture,
    ( hskp8
    | hskp25 ),
    i_0_2 ).

cnf(c_0_327,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    i_0_96 ).

fof(c_0_328,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_329,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_330,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( hskp12
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_331,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).

cnf(c_0_332,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    i_0_62 ).

fof(c_0_333,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_334,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_335,negated_conjecture,
    ( epred19_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_328]) ).

cnf(c_0_336,negated_conjecture,
    ( c3_1(a131)
    | ~ hskp30 ),
    i_0_73 ).

cnf(c_0_337,negated_conjecture,
    ( c0_1(a131)
    | ~ hskp30 ),
    i_0_75 ).

cnf(c_0_338,negated_conjecture,
    ( epred34_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_329]) ).

fof(c_0_339,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_340,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_341,negated_conjecture,
    ( hskp19
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_18 ).

fof(c_0_342,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_343,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_344,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_345,negated_conjecture,
    ( epred31_0
    | c3_1(X1)
    | hskp12
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_330]),c_0_331])]) ).

cnf(c_0_346,negated_conjecture,
    ( c2_1(a196)
    | ~ hskp27 ),
    i_0_87 ).

cnf(c_0_347,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a196) ),
    i_0_85 ).

cnf(c_0_348,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_331])]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a196) ),
    i_0_86 ).

fof(c_0_350,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_351,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_352,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( hskp14
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_353,negated_conjecture,
    ( epred53_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_333]),c_0_331])]) ).

cnf(c_0_354,negated_conjecture,
    ( epred17_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_334]) ).

cnf(c_0_355,negated_conjecture,
    ( c2_1(a110)
    | ~ hskp9 ),
    i_0_159 ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a110) ),
    i_0_157 ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a110) ),
    i_0_158 ).

fof(c_0_358,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp8
        | c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_359,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( hskp17
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_360,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( hskp13
        | c2_1(X1)
        | c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_361,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_362,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( hskp16
        | c2_1(X1)
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_363,negated_conjecture,
    ( epred19_0
    | ~ c1_1(a131)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]) ).

cnf(c_0_364,negated_conjecture,
    ( epred34_0
    | c1_1(a131)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_336]),c_0_337]) ).

cnf(c_0_365,negated_conjecture,
    ( c3_1(a141)
    | ~ hskp31 ),
    i_0_69 ).

cnf(c_0_366,negated_conjecture,
    ( c0_1(a141)
    | ~ hskp31 ),
    i_0_71 ).

cnf(c_0_367,negated_conjecture,
    ( c1_1(a141)
    | ~ hskp31 ),
    i_0_70 ).

cnf(c_0_368,negated_conjecture,
    ( epred40_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_339]) ).

cnf(c_0_369,negated_conjecture,
    ( c2_1(a131)
    | ~ hskp30 ),
    i_0_74 ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a167) ),
    i_0_93 ).

cnf(c_0_371,negated_conjecture,
    ( epred21_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_340]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a167) ),
    i_0_94 ).

cnf(c_0_373,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp19
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_331])]) ).

cnf(c_0_374,negated_conjecture,
    ( c1_1(a167)
    | ~ hskp25 ),
    i_0_95 ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a126) ),
    i_0_129 ).

cnf(c_0_376,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_342]) ).

cnf(c_0_377,negated_conjecture,
    ( c1_1(a126)
    | ~ hskp16 ),
    i_0_131 ).

cnf(c_0_378,negated_conjecture,
    ( c3_1(a126)
    | ~ hskp16 ),
    i_0_130 ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a106) ),
    i_0_173 ).

cnf(c_0_380,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_343]) ).

cnf(c_0_381,negated_conjecture,
    ( c1_1(a106)
    | ~ hskp5 ),
    i_0_174 ).

cnf(c_0_382,negated_conjecture,
    ( epred45_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_344]) ).

cnf(c_0_383,negated_conjecture,
    ( c0_1(a106)
    | ~ hskp5 ),
    i_0_175 ).

fof(c_0_384,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_385,plain,
    ( ~ epred42_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | c1_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_386,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_387,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_388,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_389,negated_conjecture,
    ( epred31_0
    | hskp12
    | ~ c1_1(a196)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_347]) ).

cnf(c_0_390,negated_conjecture,
    ( c1_1(a196)
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]) ).

fof(c_0_391,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( hskp17
        | c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_392,negated_conjecture,
    ( epred25_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_350]) ).

cnf(c_0_393,negated_conjecture,
    ( c2_1(a114)
    | ~ hskp13 ),
    i_0_142 ).

cnf(c_0_394,negated_conjecture,
    ( c1_1(a114)
    | ~ hskp13 ),
    i_0_143 ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a114) ),
    i_0_141 ).

fof(c_0_396,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( hskp30
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_397,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_398,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp2
        | c2_1(X2)
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_399,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( hskp0
        | c2_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_400,negated_conjecture,
    ( epred4_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_351]) ).

cnf(c_0_401,negated_conjecture,
    ( c2_1(a101)
    | ~ hskp0 ),
    i_0_195 ).

cnf(c_0_402,negated_conjecture,
    ( c3_1(a101)
    | ~ hskp0 ),
    i_0_194 ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a101) ),
    i_0_193 ).

fof(c_0_404,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( hskp1
        | c2_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_405,negated_conjecture,
    ( hskp21
    | hskp29
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    i_0_27 ).

fof(c_0_406,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_407,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( hskp17
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_408,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_409,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( hskp20
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_410,negated_conjecture,
    ( epred20_0
    | c1_1(X1)
    | hskp14
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_352]),c_0_331])]) ).

cnf(c_0_411,negated_conjecture,
    ( c2_1(a105)
    | ~ hskp4 ),
    i_0_179 ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a105) ),
    i_0_177 ).

cnf(c_0_413,negated_conjecture,
    ( epred53_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_353,c_0_348]) ).

cnf(c_0_414,negated_conjecture,
    ( epred17_0
    | ~ c0_1(a110)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_356]) ).

cnf(c_0_415,negated_conjecture,
    ( c0_1(a110)
    | hskp5
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_348]),c_0_357]) ).

cnf(c_0_416,negated_conjecture,
    ( epred26_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp8
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_358]),c_0_331])]) ).

cnf(c_0_417,negated_conjecture,
    ( epred32_0
    | c1_1(X1)
    | hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_359]),c_0_331])]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    i_0_145 ).

cnf(c_0_419,negated_conjecture,
    ( c3_1(a113)
    | ~ hskp12 ),
    i_0_147 ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a113) ),
    i_0_146 ).

cnf(c_0_421,negated_conjecture,
    ( epred18_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_360]),c_0_331])]) ).

fof(c_0_422,plain,
    ( ~ epred46_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_423,negated_conjecture,
    ( epred8_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_361]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a163) ),
    i_0_98 ).

cnf(c_0_425,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp16 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_362]),c_0_331])]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a163) ),
    i_0_97 ).

cnf(c_0_427,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a163) ),
    i_0_99 ).

cnf(c_0_428,negated_conjecture,
    ( epred34_0
    | epred19_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_363,c_0_364]) ).

cnf(c_0_429,negated_conjecture,
    ( hskp24
    | hskp30
    | hskp31 ),
    i_0_8 ).

cnf(c_0_430,negated_conjecture,
    ( epred19_0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_365]),c_0_366]),c_0_367]) ).

cnf(c_0_431,negated_conjecture,
    ( epred40_0
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_336]),c_0_337]) ).

fof(c_0_432,plain,
    ( ~ epred55_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a135) ),
    i_0_118 ).

cnf(c_0_434,negated_conjecture,
    ( c0_1(a135)
    | ~ hskp19 ),
    i_0_119 ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a135) ),
    i_0_117 ).

cnf(c_0_436,negated_conjecture,
    ( epred21_0
    | ~ c3_1(a167)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_372]) ).

cnf(c_0_437,negated_conjecture,
    ( c3_1(a167)
    | hskp19
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_370]) ).

cnf(c_0_438,negated_conjecture,
    ( epred23_0
    | ~ c0_1(a126)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]) ).

cnf(c_0_439,negated_conjecture,
    ( epred21_0
    | c0_1(a126)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_371]),c_0_378]) ).

cnf(c_0_440,negated_conjecture,
    ( epred6_0
    | ~ c3_1(a106)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_381]) ).

cnf(c_0_441,negated_conjecture,
    ( epred45_0
    | c3_1(a106)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_382]),c_0_383]) ).

cnf(c_0_442,negated_conjecture,
    ( epred6_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_380]),c_0_378]),c_0_377]) ).

cnf(c_0_443,negated_conjecture,
    ( hskp5
    | hskp16
    | hskp25 ),
    i_0_6 ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a109) ),
    i_0_161 ).

cnf(c_0_445,negated_conjecture,
    ( epred50_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_384]) ).

cnf(c_0_446,negated_conjecture,
    ( c1_1(a109)
    | ~ hskp8 ),
    i_0_163 ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a109) ),
    i_0_162 ).

cnf(c_0_448,negated_conjecture,
    ( epred42_0
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_331])]) ).

cnf(c_0_449,negated_conjecture,
    ( epred15_0
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_386]) ).

cnf(c_0_450,negated_conjecture,
    ( epred44_0
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_387]),c_0_331])]) ).

cnf(c_0_451,negated_conjecture,
    ( epred36_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_388]) ).

fof(c_0_452,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_453,negated_conjecture,
    ( epred31_0
    | hskp12
    | hskp5
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_389,c_0_390]) ).

cnf(c_0_454,negated_conjecture,
    ( hskp24
    | hskp25
    | hskp27 ),
    i_0_1 ).

cnf(c_0_455,negated_conjecture,
    ( hskp15
    | hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_50 ).

cnf(c_0_456,negated_conjecture,
    ( epred22_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp17
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_391]),c_0_331])]) ).

cnf(c_0_457,negated_conjecture,
    ( c0_1(a117)
    | ~ hskp15 ),
    i_0_135 ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a117) ),
    i_0_133 ).

cnf(c_0_459,negated_conjecture,
    ( epred25_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_394]),c_0_395]) ).

cnf(c_0_460,negated_conjecture,
    ( epred14_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp30
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_396]),c_0_331])]) ).

fof(c_0_461,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp18
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_462,negated_conjecture,
    ( epred43_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_397]) ).

cnf(c_0_463,negated_conjecture,
    ( c2_1(a102)
    | ~ hskp1 ),
    i_0_191 ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a102) ),
    i_0_190 ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a111) ),
    i_0_154 ).

cnf(c_0_466,negated_conjecture,
    ( epred5_0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_398]),c_0_331])]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a111) ),
    i_0_155 ).

cnf(c_0_468,negated_conjecture,
    ( epred1_0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_331])]) ).

cnf(c_0_469,negated_conjecture,
    ( epred4_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_402]),c_0_403]) ).

fof(c_0_470,plain,
    ( ~ epred48_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_471,negated_conjecture,
    ( epred3_0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_404]),c_0_331])]) ).

cnf(c_0_472,negated_conjecture,
    ( c1_1(X1)
    | hskp29
    | hskp21
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_331])]) ).

cnf(c_0_473,negated_conjecture,
    ( epred47_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_406]),c_0_331])]) ).

cnf(c_0_474,negated_conjecture,
    ( epred33_0
    | c1_1(X1)
    | hskp17
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_407]),c_0_331])]) ).

cnf(c_0_475,negated_conjecture,
    ( epred49_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_408]),c_0_331])]) ).

cnf(c_0_476,negated_conjecture,
    ( hskp1
    | hskp24
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    i_0_15 ).

cnf(c_0_477,negated_conjecture,
    ( hskp4
    | hskp23
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    i_0_21 ).

cnf(c_0_478,negated_conjecture,
    ( hskp4
    | hskp29
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    i_0_16 ).

cnf(c_0_479,negated_conjecture,
    ( hskp28
    | hskp31
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    i_0_24 ).

fof(c_0_480,plain,
    ( ~ epred56_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_481,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_482,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( hskp31
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_483,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( hskp1
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_484,negated_conjecture,
    ( epred35_0
    | c1_1(X1)
    | hskp20
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_409]),c_0_331])]) ).

cnf(c_0_485,negated_conjecture,
    ( c2_1(a116)
    | ~ hskp14 ),
    i_0_138 ).

cnf(c_0_486,negated_conjecture,
    ( c0_1(a116)
    | ~ hskp14 ),
    i_0_139 ).

cnf(c_0_487,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a116) ),
    i_0_137 ).

cnf(c_0_488,negated_conjecture,
    ( epred20_0
    | hskp14
    | ~ c0_1(a105)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412]) ).

cnf(c_0_489,negated_conjecture,
    ( epred53_0
    | c0_1(a105)
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_490,negated_conjecture,
    ( epred17_0
    | hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_414,c_0_415]) ).

cnf(c_0_491,negated_conjecture,
    ( hskp4
    | hskp5
    | hskp9 ),
    i_0_5 ).

cnf(c_0_492,negated_conjecture,
    ( epred17_0
    | ~ c0_1(a114)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_393]),c_0_395]) ).

cnf(c_0_493,negated_conjecture,
    ( epred26_0
    | c0_1(a114)
    | hskp8
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_394]),c_0_395]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a111) ),
    i_0_153 ).

cnf(c_0_495,negated_conjecture,
    ( epred32_0
    | hskp17
    | ~ c0_1(a110)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_355]),c_0_357]) ).

cnf(c_0_496,negated_conjecture,
    ( epred21_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_371]),c_0_419]),c_0_420]) ).

cnf(c_0_497,negated_conjecture,
    ( epred31_0
    | hskp12
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_393]),c_0_394]),c_0_395]) ).

cnf(c_0_498,negated_conjecture,
    ( epred18_0
    | c3_1(a167)
    | hskp13
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_421]),c_0_372]) ).

cnf(c_0_499,negated_conjecture,
    ( epred46_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_422]) ).

cnf(c_0_500,negated_conjecture,
    ( c2_1(a128)
    | ~ hskp29 ),
    i_0_77 ).

cnf(c_0_501,negated_conjecture,
    ( c1_1(a128)
    | ~ hskp29 ),
    i_0_78 ).

fof(c_0_502,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( hskp10
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_503,negated_conjecture,
    ( c0_1(a187)
    | ~ hskp26 ),
    i_0_91 ).

cnf(c_0_504,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a187) ),
    i_0_89 ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a187) ),
    i_0_90 ).

cnf(c_0_506,negated_conjecture,
    ( epred19_0
    | ~ c0_1(a126)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_378]),c_0_377]) ).

cnf(c_0_507,negated_conjecture,
    ( epred8_0
    | c0_1(a126)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_423]),c_0_377]) ).

cnf(c_0_508,negated_conjecture,
    ( epred13_0
    | hskp16
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_426]),c_0_427]) ).

cnf(c_0_509,negated_conjecture,
    ( epred34_0
    | epred19_0
    | hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]) ).

cnf(c_0_510,negated_conjecture,
    ( epred40_0
    | hskp31
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_431,c_0_429]) ).

cnf(c_0_511,negated_conjecture,
    ( epred55_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_432]) ).

cnf(c_0_512,negated_conjecture,
    ( c1_1(a112)
    | ~ hskp11 ),
    i_0_151 ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a112) ),
    i_0_150 ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a112) ),
    i_0_149 ).

cnf(c_0_515,negated_conjecture,
    ( epred45_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_382]),c_0_434]),c_0_435]) ).

cnf(c_0_516,negated_conjecture,
    ( epred21_0
    | hskp19
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_436,c_0_437]) ).

cnf(c_0_517,negated_conjecture,
    ( epred23_0
    | epred21_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_518,negated_conjecture,
    ( epred23_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_376]),c_0_383]),c_0_381]) ).

cnf(c_0_519,negated_conjecture,
    ( epred6_0
    | ~ c3_1(a167)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_380]),c_0_374]) ).

cnf(c_0_520,negated_conjecture,
    ( epred45_0
    | epred6_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_440,c_0_441]) ).

cnf(c_0_521,negated_conjecture,
    ( epred6_0
    | hskp5
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_442,c_0_443]) ).

cnf(c_0_522,negated_conjecture,
    ( epred50_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_445]),c_0_446]),c_0_447]) ).

fof(c_0_523,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp6
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_524,negated_conjecture,
    ( epred53_0
    | epred42_0
    | c1_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_353,c_0_448]) ).

cnf(c_0_525,negated_conjecture,
    ( c2_1(a118)
    | ~ hskp28 ),
    i_0_82 ).

cnf(c_0_526,negated_conjecture,
    ( c3_1(a118)
    | ~ hskp28 ),
    i_0_81 ).

cnf(c_0_527,negated_conjecture,
    ( epred44_0
    | epred15_0
    | c1_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_528,negated_conjecture,
    ( epred36_0
    | c1_1(a131)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_369]),c_0_337]) ).

cnf(c_0_529,negated_conjecture,
    ( epred45_0
    | epred17_0
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_354,c_0_382]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a103) ),
    i_0_185 ).

cnf(c_0_531,negated_conjecture,
    ( c0_1(a103)
    | ~ hskp2 ),
    i_0_187 ).

fof(c_0_532,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_533,negated_conjecture,
    ( c2_1(a107)
    | ~ hskp6 ),
    i_0_170 ).

cnf(c_0_534,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a107) ),
    i_0_169 ).

cnf(c_0_535,negated_conjecture,
    ( c1_1(a107)
    | ~ hskp6 ),
    i_0_171 ).

cnf(c_0_536,negated_conjecture,
    ( c1_1(a118)
    | ~ hskp28 ),
    i_0_83 ).

cnf(c_0_537,negated_conjecture,
    ( epred2_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_452]) ).

cnf(c_0_538,negated_conjecture,
    ( epred31_0
    | hskp24
    | hskp12
    | hskp5
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_539,negated_conjecture,
    ( epred32_0
    | hskp17
    | ~ c0_1(a105)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_411]),c_0_412]) ).

cnf(c_0_540,negated_conjecture,
    ( epred31_0
    | epred8_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp12
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_345,c_0_423]) ).

cnf(c_0_541,negated_conjecture,
    ( epred26_0
    | c0_1(a167)
    | c3_1(a167)
    | hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_374]),c_0_326]) ).

cnf(c_0_542,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp28
    | hskp15
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_331])]) ).

cnf(c_0_543,negated_conjecture,
    ( epred22_0
    | c2_1(a117)
    | hskp17
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_458]) ).

cnf(c_0_544,negated_conjecture,
    ( epred25_0
    | epred18_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_421]),c_0_459]) ).

cnf(c_0_545,negated_conjecture,
    ( epred14_0
    | c2_1(a117)
    | hskp30
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_457]),c_0_458]) ).

cnf(c_0_546,negated_conjecture,
    ( epred24_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp18
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_461]),c_0_331])]) ).

cnf(c_0_547,negated_conjecture,
    ( c0_1(a163)
    | hskp5
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_348]),c_0_427]) ).

cnf(c_0_548,negated_conjecture,
    ( c2_1(a109)
    | hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_446]),c_0_444]) ).

cnf(c_0_549,negated_conjecture,
    ( epred43_0
    | c3_1(a102)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_463]),c_0_464]) ).

cnf(c_0_550,negated_conjecture,
    ( epred5_0
    | c1_1(a111)
    | hskp2
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_467]) ).

cnf(c_0_551,negated_conjecture,
    ( epred4_0
    | epred1_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_468]),c_0_469]) ).

cnf(c_0_552,negated_conjecture,
    ( epred48_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_470]),c_0_331])]) ).

cnf(c_0_553,negated_conjecture,
    ( epred3_0
    | c0_1(a163)
    | hskp1
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_471]),c_0_427]) ).

cnf(c_0_554,negated_conjecture,
    ( epred47_0
    | c1_1(X1)
    | hskp29
    | hskp21
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_555,negated_conjecture,
    ( c0_1(a139)
    | ~ hskp20 ),
    i_0_115 ).

cnf(c_0_556,negated_conjecture,
    ( epred49_0
    | epred33_0
    | c1_1(X1)
    | hskp17
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_474,c_0_475]) ).

cnf(c_0_557,negated_conjecture,
    ( c3_1(a105)
    | ~ hskp4 ),
    i_0_178 ).

cnf(c_0_558,negated_conjecture,
    ( c2_1(X1)
    | hskp24
    | hskp1
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_331])]) ).

cnf(c_0_559,negated_conjecture,
    ( c1_1(X1)
    | hskp23
    | hskp4
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_477,c_0_331])]) ).

cnf(c_0_560,negated_conjecture,
    ( c3_1(a117)
    | ~ hskp15 ),
    i_0_134 ).

cnf(c_0_561,negated_conjecture,
    ( c2_1(X1)
    | hskp29
    | hskp4
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_478,c_0_331])]) ).

cnf(c_0_562,negated_conjecture,
    ( c1_1(X1)
    | hskp31
    | hskp28
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_331])]) ).

cnf(c_0_563,negated_conjecture,
    ( c3_1(a134)
    | ~ hskp18 ),
    i_0_122 ).

cnf(c_0_564,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a139) ),
    i_0_113 ).

cnf(c_0_565,negated_conjecture,
    ( epred56_0
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_480]),c_0_331])]) ).

cnf(c_0_566,negated_conjecture,
    ( epred54_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_481]),c_0_331])]) ).

cnf(c_0_567,negated_conjecture,
    ( c3_1(a132)
    | ~ hskp17 ),
    i_0_127 ).

cnf(c_0_568,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a143) ),
    i_0_109 ).

cnf(c_0_569,negated_conjecture,
    ( epred41_0
    | c1_1(X1)
    | hskp31
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_482]),c_0_331])]) ).

cnf(c_0_570,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | hskp1
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_483]),c_0_331])]) ).

cnf(c_0_571,negated_conjecture,
    ( epred35_0
    | c1_1(a131)
    | hskp20
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_336]),c_0_337]) ).

cnf(c_0_572,negated_conjecture,
    ( epred17_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_485]),c_0_486]),c_0_487]) ).

cnf(c_0_573,negated_conjecture,
    ( epred53_0
    | epred20_0
    | hskp14
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_488,c_0_489]) ).

cnf(c_0_574,negated_conjecture,
    ( epred17_0
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_575,negated_conjecture,
    ( epred26_0
    | epred17_0
    | hskp8
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_576,negated_conjecture,
    ( epred18_0
    | hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_421]),c_0_494]),c_0_467]) ).

cnf(c_0_577,negated_conjecture,
    ( epred33_0
    | c1_1(a131)
    | hskp17
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_369]),c_0_336]) ).

cnf(c_0_578,negated_conjecture,
    ( epred32_0
    | hskp17
    | hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_495,c_0_415]) ).

cnf(c_0_579,negated_conjecture,
    ( epred31_0
    | epred21_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_580,negated_conjecture,
    ( epred21_0
    | epred18_0
    | hskp13
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_436,c_0_498]) ).

cnf(c_0_581,negated_conjecture,
    ( epred46_0
    | ~ c3_1(a128)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_501]) ).

cnf(c_0_582,negated_conjecture,
    ( epred31_0
    | c3_1(a128)
    | hskp12
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_500]),c_0_501]) ).

cnf(c_0_583,negated_conjecture,
    ( epred30_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp10
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_502]),c_0_331])]) ).

cnf(c_0_584,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a102) ),
    i_0_189 ).

cnf(c_0_585,negated_conjecture,
    ( epred22_0
    | hskp17
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_503]),c_0_504]),c_0_505]) ).

cnf(c_0_586,negated_conjecture,
    ( hskp4
    | hskp11
    | hskp26 ),
    i_0_3 ).

cnf(c_0_587,negated_conjecture,
    ( epred19_0
    | epred8_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_588,negated_conjecture,
    ( epred34_0
    | epred19_0
    | epred13_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_589,negated_conjecture,
    ( epred40_0
    | epred19_0
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_430,c_0_510]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a153) ),
    i_0_101 ).

cnf(c_0_591,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a153) ),
    i_0_103 ).

cnf(c_0_592,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a153) ),
    i_0_102 ).

cnf(c_0_593,negated_conjecture,
    ( epred45_0
    | ~ c0_1(a163)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_382]),c_0_426]) ).

cnf(c_0_594,negated_conjecture,
    ( epred55_0
    | ~ c3_1(a106)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_511]),c_0_383]) ).

cnf(c_0_595,negated_conjecture,
    ( c3_1(a106)
    | hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_381]),c_0_379]) ).

cnf(c_0_596,negated_conjecture,
    ( hskp19
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_512]),c_0_513]),c_0_514]) ).

cnf(c_0_597,negated_conjecture,
    ( epred45_0
    | epred21_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_515,c_0_516]) ).

cnf(c_0_598,negated_conjecture,
    ( epred23_0
    | epred21_0
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_443]),c_0_518]) ).

cnf(c_0_599,negated_conjecture,
    ( epred6_0
    | hskp19
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_519,c_0_437]) ).

cnf(c_0_600,negated_conjecture,
    ( epred45_0
    | epred6_0
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_601,negated_conjecture,
    ( epred8_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_423]),c_0_374]),c_0_372]) ).

cnf(c_0_602,negated_conjecture,
    ( epred50_0
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_522,c_0_326]) ).

cnf(c_0_603,negated_conjecture,
    ( epred25_0
    | c3_1(a128)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_500]),c_0_501]) ).

cnf(c_0_604,negated_conjecture,
    ( epred7_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp6
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_523]),c_0_331])]) ).

cnf(c_0_605,negated_conjecture,
    ( c3_1(a143)
    | ~ hskp21 ),
    i_0_111 ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a143) ),
    i_0_110 ).

cnf(c_0_607,negated_conjecture,
    ( epred53_0
    | epred42_0
    | c0_1(a163)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_427,c_0_524]) ).

cnf(c_0_608,negated_conjecture,
    ( epred40_0
    | ~ c0_1(a118)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_525]),c_0_526]) ).

cnf(c_0_609,negated_conjecture,
    ( epred4_0
    | c0_1(a118)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_525]),c_0_526]) ).

cnf(c_0_610,negated_conjecture,
    ( epred44_0
    | epred15_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_527]),c_0_427]) ).

cnf(c_0_611,negated_conjecture,
    ( epred36_0
    | epred19_0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_363,c_0_528]) ).

cnf(c_0_612,negated_conjecture,
    ( epred45_0
    | epred17_0
    | ~ c0_1(a163)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_426,c_0_529]) ).

cnf(c_0_613,negated_conjecture,
    ( epred5_0
    | c0_1(a163)
    | hskp2
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_466]),c_0_427]) ).

cnf(c_0_614,negated_conjecture,
    ( epred45_0
    | epred17_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_529]),c_0_531]) ).

cnf(c_0_615,negated_conjecture,
    ( epred28_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_532]) ).

cnf(c_0_616,negated_conjecture,
    ( c0_1(a128)
    | ~ hskp29 ),
    i_0_79 ).

cnf(c_0_617,negated_conjecture,
    ( epred4_0
    | ~ c3_1(a107)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_533]),c_0_534]) ).

cnf(c_0_618,negated_conjecture,
    ( epred25_0
    | c3_1(a107)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_533]),c_0_535]) ).

cnf(c_0_619,negated_conjecture,
    ( hskp5
    | hskp13
    | hskp15 ),
    i_0_7 ).

cnf(c_0_620,negated_conjecture,
    ( epred23_0
    | epred8_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_438,c_0_507]) ).

cnf(c_0_621,negated_conjecture,
    ( epred19_0
    | ~ c0_1(a118)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_526]),c_0_536]) ).

cnf(c_0_622,negated_conjecture,
    ( c0_1(a134)
    | ~ hskp18 ),
    i_0_123 ).

cnf(c_0_623,negated_conjecture,
    ( epred8_0
    | ~ c1_1(a113)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_423]),c_0_420]) ).

cnf(c_0_624,negated_conjecture,
    ( epred2_0
    | c1_1(a113)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_419]),c_0_420]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a132) ),
    i_0_126 ).

cnf(c_0_626,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a132) ),
    i_0_125 ).

cnf(c_0_627,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c1_1(X2) ),
    i_0_54 ).

cnf(c_0_628,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_35 ).

cnf(c_0_629,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X2) ),
    i_0_30 ).

cnf(c_0_630,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    i_0_58 ).

cnf(c_0_631,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c1_1(X2) ),
    i_0_49 ).

cnf(c_0_632,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    i_0_48 ).

cnf(c_0_633,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c0_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_57 ).

cnf(c_0_634,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3) ),
    i_0_40 ).

cnf(c_0_635,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    i_0_63 ).

cnf(c_0_636,negated_conjecture,
    ( hskp31
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2) ),
    i_0_28 ).

cnf(c_0_637,negated_conjecture,
    ( hskp1
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_13 ).

cnf(c_0_638,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    i_0_31 ).

cnf(c_0_639,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    i_0_26 ).

cnf(c_0_640,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    i_0_29 ).

cnf(c_0_641,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    i_0_17 ).

cnf(c_0_642,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    i_0_59 ).

cnf(c_0_643,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    i_0_47 ).

cnf(c_0_644,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_34 ).

cnf(c_0_645,negated_conjecture,
    ( hskp17
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_37 ).

cnf(c_0_646,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    i_0_51 ).

cnf(c_0_647,negated_conjecture,
    ( hskp13
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    i_0_53 ).

cnf(c_0_648,negated_conjecture,
    ( hskp30
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    i_0_38 ).

cnf(c_0_649,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    i_0_43 ).

cnf(c_0_650,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    i_0_52 ).

cnf(c_0_651,negated_conjecture,
    ( hskp2
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_65 ).

cnf(c_0_652,negated_conjecture,
    ( hskp1
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    i_0_66 ).

cnf(c_0_653,negated_conjecture,
    ( hskp0
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    i_0_67 ).

cnf(c_0_654,negated_conjecture,
    ( epred21_0
    | epred31_0
    | hskp24
    | hskp5
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_496,c_0_538]) ).

cnf(c_0_655,negated_conjecture,
    ( epred32_0
    | hskp17
    | epred53_0
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_539,c_0_489]) ).

cnf(c_0_656,negated_conjecture,
    ( epred31_0
    | epred8_0
    | c0_1(a109)
    | c3_1(a109)
    | hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_540,c_0_446]) ).

cnf(c_0_657,negated_conjecture,
    ( epred21_0
    | epred26_0
    | c0_1(a167)
    | hskp8
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_436,c_0_541]) ).

cnf(c_0_658,negated_conjecture,
    ( c0_1(a167)
    | c2_1(a167)
    | hskp28
    | hskp15
    | epred26_0
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_542,c_0_541]) ).

cnf(c_0_659,negated_conjecture,
    ( epred33_0
    | c1_1(a117)
    | hskp17
    | epred22_0
    | ~ c3_1(a117)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_474,c_0_543]) ).

cnf(c_0_660,negated_conjecture,
    ( epred25_0
    | epred18_0
    | c0_1(a109)
    | ~ hskp8
    | ~ c1_1(a109) ),
    inference(spm,[status(thm)],[c_0_444,c_0_544]) ).

cnf(c_0_661,negated_conjecture,
    ( epred40_0
    | epred14_0
    | hskp30
    | ~ c0_1(a117)
    | ~ c3_1(a117)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_368,c_0_545]) ).

cnf(c_0_662,negated_conjecture,
    ( epred24_0
    | c1_1(a163)
    | c3_1(a163)
    | hskp18
    | hskp5
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_546,c_0_547]) ).

cnf(c_0_663,negated_conjecture,
    ( epred43_0
    | c0_1(a109)
    | c3_1(a109)
    | hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_462,c_0_548]) ).

cnf(c_0_664,negated_conjecture,
    ( epred31_0
    | c3_1(a109)
    | hskp12
    | hskp19
    | ~ c1_1(a109)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_345,c_0_548]) ).

cnf(c_0_665,negated_conjecture,
    ( epred19_0
    | epred45_0
    | ~ c1_1(a106)
    | ~ c0_1(a106)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_335,c_0_441]) ).

cnf(c_0_666,negated_conjecture,
    ( epred53_0
    | c1_1(a102)
    | c0_1(a102)
    | epred43_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_353,c_0_549]) ).

cnf(c_0_667,negated_conjecture,
    ( c3_1(a111)
    | c2_1(a111)
    | hskp19
    | epred5_0
    | hskp2
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_373,c_0_550]) ).

cnf(c_0_668,negated_conjecture,
    ( epred4_0
    | epred1_0
    | c1_1(a113)
    | c0_1(a113)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_551,c_0_419]) ).

cnf(c_0_669,negated_conjecture,
    ( epred6_0
    | epred50_0
    | c0_1(a167)
    | ~ hskp25
    | ~ c1_1(a167) ),
    inference(spm,[status(thm)],[c_0_519,c_0_445]) ).

cnf(c_0_670,negated_conjecture,
    ( epred6_0
    | epred48_0
    | c0_1(a167)
    | ~ hskp25
    | ~ c1_1(a167) ),
    inference(spm,[status(thm)],[c_0_519,c_0_552]) ).

cnf(c_0_671,negated_conjecture,
    ( epred22_0
    | c1_1(a163)
    | c2_1(a163)
    | hskp17
    | epred3_0
    | hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_456,c_0_553]) ).

cnf(c_0_672,negated_conjecture,
    ( epred47_0
    | c1_1(a139)
    | hskp29
    | hskp21
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_554,c_0_555]) ).

cnf(c_0_673,negated_conjecture,
    ( epred49_0
    | epred33_0
    | c1_1(a105)
    | hskp17
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_556,c_0_557]) ).

cnf(c_0_674,negated_conjecture,
    ( c0_1(a113)
    | c2_1(a113)
    | hskp28
    | hskp15
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_542,c_0_419]) ).

cnf(c_0_675,negated_conjecture,
    ( c0_1(a126)
    | c2_1(a126)
    | hskp28
    | hskp15
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_542,c_0_378]) ).

cnf(c_0_676,negated_conjecture,
    ( c2_1(a126)
    | hskp24
    | hskp1
    | ~ c0_1(a126)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_558,c_0_377]) ).

cnf(c_0_677,negated_conjecture,
    ( c2_1(a106)
    | hskp24
    | hskp1
    | ~ c0_1(a106)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_558,c_0_381]) ).

cnf(c_0_678,negated_conjecture,
    ( c1_1(a117)
    | hskp23
    | hskp4
    | ~ c0_1(a117)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_679,negated_conjecture,
    ( c2_1(a106)
    | hskp29
    | hskp4
    | ~ c0_1(a106)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_561,c_0_381]) ).

cnf(c_0_680,negated_conjecture,
    ( c1_1(a105)
    | hskp29
    | hskp21
    | ~ c0_1(a105)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_472,c_0_411]) ).

cnf(c_0_681,negated_conjecture,
    ( c1_1(a105)
    | hskp31
    | hskp28
    | ~ c0_1(a105)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_562,c_0_557]) ).

cnf(c_0_682,negated_conjecture,
    ( c1_1(a117)
    | hskp31
    | hskp28
    | ~ c0_1(a117)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_562,c_0_560]) ).

cnf(c_0_683,negated_conjecture,
    ( c1_1(a134)
    | hskp31
    | hskp28
    | ~ c0_1(a134)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_562,c_0_563]) ).

cnf(c_0_684,negated_conjecture,
    ( epred56_0
    | c1_1(a139)
    | ~ hskp20
    | ~ c0_1(a139) ),
    inference(spm,[status(thm)],[c_0_564,c_0_565]) ).

cnf(c_0_685,negated_conjecture,
    ( epred54_0
    | c1_1(a105)
    | ~ c0_1(a105)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_566,c_0_411]) ).

cnf(c_0_686,negated_conjecture,
    ( epred53_0
    | c1_1(a105)
    | c0_1(a105)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_353,c_0_557]) ).

cnf(c_0_687,negated_conjecture,
    ( epred53_0
    | c1_1(a113)
    | c0_1(a113)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_353,c_0_419]) ).

cnf(c_0_688,negated_conjecture,
    ( epred53_0
    | c1_1(a132)
    | c0_1(a132)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_353,c_0_567]) ).

cnf(c_0_689,negated_conjecture,
    ( epred49_0
    | c1_1(a113)
    | ~ hskp12
    | ~ c3_1(a113) ),
    inference(spm,[status(thm)],[c_0_418,c_0_475]) ).

cnf(c_0_690,negated_conjecture,
    ( epred49_0
    | c1_1(a143)
    | ~ hskp21
    | ~ c3_1(a143) ),
    inference(spm,[status(thm)],[c_0_568,c_0_475]) ).

cnf(c_0_691,negated_conjecture,
    ( epred48_0
    | c0_1(a109)
    | ~ hskp8
    | ~ c1_1(a109) ),
    inference(spm,[status(thm)],[c_0_444,c_0_552]) ).

cnf(c_0_692,negated_conjecture,
    ( epred44_0
    | c1_1(a163)
    | c3_1(a163)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_424,c_0_450]) ).

cnf(c_0_693,negated_conjecture,
    ( epred41_0
    | c1_1(a131)
    | hskp31
    | ~ c0_1(a131)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_569,c_0_369]) ).

cnf(c_0_694,negated_conjecture,
    ( epred39_0
    | c2_1(a167)
    | hskp1
    | ~ c3_1(a167)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_570,c_0_374]) ).

cnf(c_0_695,negated_conjecture,
    ( epred35_0
    | epred19_0
    | hskp20
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_363,c_0_571]) ).

cnf(c_0_696,negated_conjecture,
    ( epred53_0
    | epred20_0
    | epred17_0
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_574]) ).

cnf(c_0_697,negated_conjecture,
    ( epred26_0
    | epred18_0
    | epred17_0
    | hskp8
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_575,c_0_576]) ).

cnf(c_0_698,negated_conjecture,
    ( epred33_0
    | hskp17
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_411]),c_0_557]),c_0_412]) ).

cnf(c_0_699,negated_conjecture,
    ( epred33_0
    | epred19_0
    | hskp17
    | ~ hskp30 ),
    inference(spm,[status(thm)],[c_0_363,c_0_577]) ).

cnf(c_0_700,negated_conjecture,
    ( epred32_0
    | hskp17
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_578,c_0_491]) ).

cnf(c_0_701,negated_conjecture,
    ( epred31_0
    | epred21_0
    | epred18_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_579,c_0_580]) ).

cnf(c_0_702,negated_conjecture,
    ( epred46_0
    | epred31_0
    | hskp12
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_581,c_0_582]) ).

cnf(c_0_703,negated_conjecture,
    ( epred30_0
    | hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_463]),c_0_464]),c_0_584]) ).

cnf(c_0_704,negated_conjecture,
    ( epred22_0
    | hskp17
    | hskp11
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_585,c_0_586]) ).

cnf(c_0_705,negated_conjecture,
    ( epred34_0
    | epred19_0
    | epred13_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_587,c_0_588]) ).

cnf(c_0_706,negated_conjecture,
    ( epred40_0
    | epred19_0
    | epred13_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_508,c_0_589]) ).

cnf(c_0_707,negated_conjecture,
    ( hskp5
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_348]),c_0_591]),c_0_592]) ).

cnf(c_0_708,negated_conjecture,
    ( epred45_0
    | hskp5
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_593,c_0_547]) ).

cnf(c_0_709,negated_conjecture,
    ( epred55_0
    | hskp19
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_594,c_0_595]) ).

cnf(c_0_710,negated_conjecture,
    ( epred45_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_515,c_0_596]) ).

cnf(c_0_711,negated_conjecture,
    ( epred45_0
    | epred23_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_597,c_0_598]) ).

cnf(c_0_712,negated_conjecture,
    ( epred45_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_599]),c_0_600]) ).

cnf(c_0_713,negated_conjecture,
    ( epred50_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_601,c_0_602]) ).

cnf(c_0_714,negated_conjecture,
    ( epred46_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_525]),c_0_526]),c_0_536]) ).

cnf(c_0_715,negated_conjecture,
    ( epred46_0
    | epred25_0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[c_0_581,c_0_603]) ).

cnf(c_0_716,negated_conjecture,
    ( epred7_0
    | hskp6
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_605]),c_0_568]),c_0_606]) ).

cnf(c_0_717,negated_conjecture,
    ( epred53_0
    | epred45_0
    | epred42_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_593,c_0_607]) ).

cnf(c_0_718,negated_conjecture,
    ( epred40_0
    | epred4_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_608,c_0_609]) ).

cnf(c_0_719,negated_conjecture,
    ( epred44_0
    | epred40_0
    | epred19_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_610,c_0_589]) ).

cnf(c_0_720,negated_conjecture,
    ( epred36_0
    | epred19_0
    | hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_429]),c_0_430]) ).

cnf(c_0_721,negated_conjecture,
    ( epred34_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_560]),c_0_457]),c_0_458]) ).

cnf(c_0_722,negated_conjecture,
    ( epred45_0
    | epred17_0
    | epred5_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_614]) ).

cnf(c_0_723,negated_conjecture,
    ( epred28_0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_500]),c_0_616]),c_0_501]) ).

cnf(c_0_724,negated_conjecture,
    ( epred25_0
    | epred4_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_617,c_0_618]) ).

cnf(c_0_725,negated_conjecture,
    ( epred25_0
    | hskp15
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_459,c_0_619]) ).

cnf(c_0_726,negated_conjecture,
    ( epred23_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_443]),c_0_601]),c_0_518]) ).

cnf(c_0_727,negated_conjecture,
    ( epred19_0
    | epred4_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_621,c_0_609]) ).

cnf(c_0_728,negated_conjecture,
    ( epred19_0
    | ~ c1_1(a134)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_563]),c_0_622]) ).

cnf(c_0_729,negated_conjecture,
    ( epred8_0
    | epred2_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_623,c_0_624]) ).

cnf(c_0_730,negated_conjecture,
    ( epred4_0
    | c0_1(a105)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_411]),c_0_557]) ).

cnf(c_0_731,negated_conjecture,
    ( epred2_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_567]),c_0_625]),c_0_626]) ).

cnf(c_0_732,negated_conjecture,
    ( epred53_0
    | hskp5
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_413]),c_0_464]) ).

cnf(c_0_733,negated_conjecture,
    ( epred53_0
    | hskp5
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_413]),c_0_625]) ).

cnf(c_0_734,negated_conjecture,
    ( epred53_0
    | epred42_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_524]),c_0_464]) ).

cnf(c_0_735,negated_conjecture,
    ( ~ epred53_0
    | ~ epred46_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_627,c_0_333]),c_0_422]),c_0_339]) ).

cnf(c_0_736,negated_conjecture,
    ( ~ epred56_0
    | ~ epred40_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_628,c_0_480]),c_0_343]),c_0_339]) ).

cnf(c_0_737,negated_conjecture,
    ( ~ epred55_0
    | ~ epred54_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_629,c_0_481]),c_0_432]),c_0_342]) ).

cnf(c_0_738,negated_conjecture,
    ( ~ epred53_0
    | ~ epred21_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_630,c_0_333]),c_0_340]),c_0_328]) ).

cnf(c_0_739,negated_conjecture,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_631,c_0_408]),c_0_329]),c_0_384]) ).

cnf(c_0_740,negated_conjecture,
    ( ~ epred48_0
    | ~ epred45_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_632,c_0_470]),c_0_344]),c_0_350]) ).

cnf(c_0_741,negated_conjecture,
    ( ~ epred47_0
    | ~ epred23_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_633,c_0_406]),c_0_452]),c_0_342]) ).

cnf(c_0_742,negated_conjecture,
    ( ~ epred46_0
    | ~ epred45_0
    | ~ epred44_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_634,c_0_387]),c_0_344]),c_0_422]) ).

cnf(c_0_743,negated_conjecture,
    ( ~ epred43_0
    | ~ epred42_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_635,c_0_385]),c_0_397]),c_0_334]) ).

cnf(c_0_744,negated_conjecture,
    ( ~ epred41_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_636,c_0_482]),c_0_532]) ).

cnf(c_0_745,negated_conjecture,
    ( ~ epred40_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_637,c_0_483]),c_0_339]) ).

cnf(c_0_746,negated_conjecture,
    ( ~ epred36_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_638,c_0_409]),c_0_388]) ).

cnf(c_0_747,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_639,c_0_407]),c_0_329]) ).

cnf(c_0_748,negated_conjecture,
    ( ~ epred32_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_640,c_0_359]),c_0_334]) ).

cnf(c_0_749,negated_conjecture,
    ( ~ epred31_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_641,c_0_330]),c_0_342]) ).

cnf(c_0_750,negated_conjecture,
    ( ~ epred30_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_642,c_0_502]),c_0_328]) ).

cnf(c_0_751,negated_conjecture,
    ( ~ epred26_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_358]),c_0_328]) ).

cnf(c_0_752,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_644,c_0_461]),c_0_350]) ).

cnf(c_0_753,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_645,c_0_391]),c_0_342]) ).

cnf(c_0_754,negated_conjecture,
    ( ~ epred21_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_646,c_0_352]),c_0_340]) ).

cnf(c_0_755,negated_conjecture,
    ( ~ epred19_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_647,c_0_360]),c_0_328]) ).

cnf(c_0_756,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_648,c_0_396]),c_0_386]) ).

cnf(c_0_757,negated_conjecture,
    ( ~ epred13_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_649,c_0_362]),c_0_351]) ).

cnf(c_0_758,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_650,c_0_523]),c_0_361]) ).

cnf(c_0_759,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_651,c_0_398]),c_0_343]) ).

cnf(c_0_760,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_652,c_0_404]),c_0_351]) ).

cnf(c_0_761,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_653,c_0_399]),c_0_452]) ).

cnf(c_0_762,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a139) ),
    i_0_114 ).

cnf(c_0_763,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,c_0_699,c_0_700,c_0_701,c_0_702,c_0_703,c_0_541,c_0_704,c_0_705,c_0_706,c_0_508,c_0_707,c_0_708,c_0_709,c_0_710,c_0_711,c_0_712,c_0_597,c_0_713,c_0_602,c_0_522,c_0_714,c_0_715,c_0_716,c_0_515,c_0_717,c_0_718,c_0_719,c_0_589,c_0_431,c_0_720,c_0_509,c_0_721,c_0_722,c_0_723,c_0_724,c_0_725,c_0_726,c_0_518,c_0_496,c_0_439,c_0_727,c_0_363,c_0_506,c_0_728,c_0_430,c_0_729,c_0_623,c_0_601,c_0_521,c_0_442,c_0_730,c_0_731,c_0_732,c_0_733,c_0_734,c_0_614,c_0_735,c_0_736,c_0_737,c_0_738,c_0_739,c_0_740,c_0_741,c_0_742,c_0_743,c_0_744,c_0_745,c_0_746,c_0_747,c_0_748,c_0_749,c_0_750,c_0_751,c_0_752,c_0_753,c_0_754,c_0_755,c_0_756,c_0_757,c_0_758,c_0_759,c_0_760,c_0_761,c_0_427,c_0_426,c_0_424,c_0_606,c_0_762,c_0_626,c_0_625,c_0_375,c_0_458,c_0_420,c_0_418,c_0_494,c_0_465,c_0_379,c_0_412,c_0_584,c_0_464,c_0_372,c_0_370,c_0_447,c_0_444,c_0_374,c_0_446,c_0_381,c_0_555,c_0_383,c_0_622,c_0_457,c_0_337,c_0_605,c_0_560,c_0_419,c_0_429,c_0_443,c_0_326]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN466+1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 18:46:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 15.77/3.39  # ENIGMATIC: Solved by autoschedule:
% 15.77/3.39  # No SInE strategy applied
% 15.77/3.39  # Trying AutoSched0 for 150 seconds
% 15.77/3.39  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 15.77/3.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 15.77/3.39  #
% 15.77/3.39  # Preprocessing time       : 0.027 s
% 15.77/3.39  # SatCheck found unsatisfiable ground set
% 15.77/3.39  
% 15.77/3.39  # Proof found!
% 15.77/3.39  # SZS status Theorem
% 15.77/3.39  # SZS output start CNFRefutation
% See solution above
% 15.77/3.39  # Training examples: 0 positive, 0 negative
% 15.77/3.39  
% 15.77/3.39  # -------------------------------------------------
% 15.77/3.39  # User time                : 1.019 s
% 15.77/3.39  # System time              : 0.036 s
% 15.77/3.39  # Total time               : 1.055 s
% 15.77/3.39  # Maximum resident set size: 7120 pages
% 15.77/3.39  
%------------------------------------------------------------------------------