TSTP Solution File: SYN485+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN485+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 04:53:57 EDT 2022

% Result   : Theorem 14.59s 3.15s
% Output   : CNFRefutation 14.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  139
% Syntax   : Number of formulae    :  463 (   2 unt;   0 def)
%            Number of atoms       : 1775 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2136 ( 824   ~;1272   |;   0   &)
%                                         (  40 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   67 (  66 usr;  63 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  202 (   0 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_97,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a2160) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_97) ).

cnf(i_0_98,negated_conjecture,
    ( c2_1(a2160)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_98) ).

cnf(i_0_99,negated_conjecture,
    ( c1_1(a2160)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_99) ).

cnf(i_0_188,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_188) ).

cnf(i_0_7,negated_conjecture,
    ( hskp2
    | hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_7) ).

cnf(i_0_128,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_128) ).

cnf(i_0_147,negated_conjecture,
    ( c1_1(a2095)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_147) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a2095) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_146) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a2095) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_145) ).

cnf(i_0_2,negated_conjecture,
    ( hskp10
    | hskp12
    | hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_2) ).

cnf(i_0_178,negated_conjecture,
    ( c3_1(a2074)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_178) ).

cnf(i_0_177,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a2074) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_177) ).

cnf(i_0_179,negated_conjecture,
    ( c1_1(a2074)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_179) ).

cnf(i_0_155,negated_conjecture,
    ( c2_1(a2087)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_155) ).

cnf(i_0_153,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2087) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_153) ).

cnf(i_0_154,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a2087) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_154) ).

cnf(i_0_71,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_71) ).

cnf(i_0_42,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_42) ).

cnf(i_0_61,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_61) ).

cnf(i_0_103,negated_conjecture,
    ( c0_1(a2149)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_103) ).

cnf(i_0_102,negated_conjecture,
    ( c3_1(a2149)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_102) ).

cnf(i_0_101,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a2149) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_101) ).

cnf(i_0_5,negated_conjecture,
    ( hskp5
    | hskp23
    | hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_5) ).

cnf(i_0_163,negated_conjecture,
    ( c1_1(a2082)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_163) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a2082) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_161) ).

cnf(i_0_162,negated_conjecture,
    ( c2_1(a2082)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_162) ).

cnf(i_0_14,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_14) ).

cnf(i_0_95,negated_conjecture,
    ( c1_1(a2172)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_95) ).

cnf(i_0_94,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a2172) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_94) ).

cnf(i_0_93,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a2172) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_93) ).

cnf(i_0_127,negated_conjecture,
    ( c0_1(a2110)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_127) ).

cnf(i_0_36,negated_conjecture,
    ( hskp1
    | hskp17
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_36) ).

cnf(i_0_190,negated_conjecture,
    ( c3_1(a2070)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_190) ).

cnf(i_0_191,negated_conjecture,
    ( c0_1(a2070)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_191) ).

cnf(i_0_189,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2070) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_189) ).

cnf(i_0_52,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_52) ).

cnf(i_0_175,negated_conjecture,
    ( c1_1(a2076)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_175) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a2076) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_173) ).

cnf(i_0_195,negated_conjecture,
    ( c3_1(a2068)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_195) ).

cnf(i_0_194,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2068) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_194) ).

cnf(i_0_193,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a2068) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_193) ).

cnf(i_0_174,negated_conjecture,
    ( c3_1(a2076)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_174) ).

cnf(i_0_125,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2110) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_125) ).

cnf(i_0_126,negated_conjecture,
    ( c2_1(a2110)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_126) ).

cnf(i_0_123,negated_conjecture,
    ( c1_1(a2116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_123) ).

cnf(i_0_122,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2116) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_122) ).

cnf(i_0_182,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a2072) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_182) ).

cnf(i_0_181,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a2072) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_181) ).

cnf(i_0_187,negated_conjecture,
    ( c0_1(a2071)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_187) ).

cnf(i_0_185,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2071) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_185) ).

cnf(i_0_183,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a2072) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_183) ).

cnf(i_0_115,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2130) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_115) ).

cnf(i_0_114,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a2130) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_114) ).

cnf(i_0_43,negated_conjecture,
    ( hskp4
    | hskp28
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_43) ).

cnf(i_0_23,negated_conjecture,
    ( hskp10
    | hskp11
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_23) ).

cnf(i_0_106,negated_conjecture,
    ( c3_1(a2140)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_106) ).

cnf(i_0_107,negated_conjecture,
    ( c2_1(a2140)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_107) ).

cnf(i_0_105,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a2140) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_105) ).

cnf(i_0_186,negated_conjecture,
    ( c2_1(a2071)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_186) ).

cnf(i_0_49,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_49) ).

cnf(i_0_50,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_50) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2116) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_121) ).

cnf(i_0_1,negated_conjecture,
    ( hskp12
    | hskp18
    | hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_1) ).

cnf(i_0_76,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_76) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a2104) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_129) ).

cnf(i_0_159,negated_conjecture,
    ( c2_1(a2084)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_159) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a2130) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_113) ).

cnf(i_0_151,negated_conjecture,
    ( c0_1(a2093)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_151) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a2093) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_149) ).

cnf(i_0_150,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2093) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_150) ).

cnf(i_0_6,negated_conjecture,
    ( hskp1
    | hskp17
    | hskp23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_6) ).

cnf(i_0_82,negated_conjecture,
    ( c1_1(a2075)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_82) ).

cnf(i_0_83,negated_conjecture,
    ( c0_1(a2075)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_83) ).

cnf(i_0_81,negated_conjecture,
    ( c2_1(a2075)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_81) ).

cnf(i_0_89,negated_conjecture,
    ( c3_1(a2069)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_89) ).

cnf(i_0_91,negated_conjecture,
    ( c0_1(a2069)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_91) ).

cnf(i_0_90,negated_conjecture,
    ( c2_1(a2069)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_90) ).

cnf(i_0_131,negated_conjecture,
    ( c3_1(a2104)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_131) ).

cnf(i_0_69,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_69) ).

cnf(i_0_64,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_64) ).

cnf(i_0_39,negated_conjecture,
    ( hskp26
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_39) ).

cnf(i_0_21,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_21) ).

cnf(i_0_17,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_17) ).

cnf(i_0_19,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_19) ).

cnf(i_0_56,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_56) ).

cnf(i_0_13,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_13) ).

cnf(i_0_22,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_22) ).

cnf(i_0_40,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_40) ).

cnf(i_0_46,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_46) ).

cnf(i_0_59,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_59) ).

cnf(i_0_25,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_25) ).

cnf(i_0_30,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_30) ).

cnf(i_0_75,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_75) ).

cnf(i_0_26,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_26) ).

cnf(i_0_62,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_62) ).

cnf(i_0_57,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_57) ).

cnf(i_0_130,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a2104) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_130) ).

cnf(i_0_157,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a2084) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_157) ).

cnf(i_0_158,negated_conjecture,
    ( c3_1(a2084)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzvwjtv0/input.p',i_0_158) ).

fof(c_0_295,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_296,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a2160) ),
    i_0_97 ).

cnf(c_0_298,negated_conjecture,
    ( epred34_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_295]) ).

cnf(c_0_299,negated_conjecture,
    ( c2_1(a2160)
    | ~ hskp24 ),
    i_0_98 ).

cnf(c_0_300,negated_conjecture,
    ( epred12_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_296]) ).

cnf(c_0_301,negated_conjecture,
    ( c1_1(a2160)
    | ~ hskp24 ),
    i_0_99 ).

cnf(c_0_302,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    i_0_188 ).

cnf(c_0_303,negated_conjecture,
    ( hskp2
    | hskp17 ),
    i_0_7 ).

cnf(c_0_304,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    i_0_128 ).

fof(c_0_305,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_306,negated_conjecture,
    ( epred34_0
    | ~ c0_1(a2160)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]) ).

cnf(c_0_307,negated_conjecture,
    ( epred12_0
    | c0_1(a2160)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_299]) ).

fof(c_0_308,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_309,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( hskp4
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_310,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]) ).

cnf(c_0_311,negated_conjecture,
    ( epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_305]) ).

cnf(c_0_312,negated_conjecture,
    ( c1_1(a2095)
    | ~ hskp12 ),
    i_0_147 ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a2095) ),
    i_0_146 ).

cnf(c_0_314,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a2095) ),
    i_0_145 ).

cnf(c_0_315,negated_conjecture,
    ( epred34_0
    | epred12_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_316,negated_conjecture,
    ( hskp10
    | hskp12
    | hskp24 ),
    i_0_2 ).

fof(c_0_317,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_318,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_319,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( hskp1
        | c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_320,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_308]) ).

cnf(c_0_321,negated_conjecture,
    ( c3_1(a2074)
    | ~ hskp4 ),
    i_0_178 ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a2074) ),
    i_0_177 ).

cnf(c_0_323,negated_conjecture,
    ( c1_1(a2074)
    | ~ hskp4 ),
    i_0_179 ).

cnf(c_0_324,negated_conjecture,
    ( epred1_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp4
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_309]),c_0_310])]) ).

cnf(c_0_325,negated_conjecture,
    ( c2_1(a2087)
    | ~ hskp10 ),
    i_0_155 ).

cnf(c_0_326,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2087) ),
    i_0_153 ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a2087) ),
    i_0_154 ).

cnf(c_0_328,negated_conjecture,
    ( epred8_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313]),c_0_314]) ).

cnf(c_0_329,negated_conjecture,
    ( epred34_0
    | epred12_0
    | hskp12
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

cnf(c_0_330,negated_conjecture,
    ( epred2_0
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_317]) ).

cnf(c_0_331,negated_conjecture,
    ( epred10_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_318]) ).

cnf(c_0_332,negated_conjecture,
    ( epred18_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp1
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_319]),c_0_310])]) ).

cnf(c_0_333,negated_conjecture,
    ( epred25_0
    | ~ c0_1(a2074)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]) ).

cnf(c_0_334,negated_conjecture,
    ( epred8_0
    | c0_1(a2074)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_323]),c_0_322]) ).

cnf(c_0_335,negated_conjecture,
    ( epred1_0
    | hskp4
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]),c_0_327]) ).

cnf(c_0_336,negated_conjecture,
    ( epred34_0
    | epred12_0
    | epred8_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_337,negated_conjecture,
    ( epred34_0
    | ~ c0_1(a2087)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_298]),c_0_325]) ).

cnf(c_0_338,negated_conjecture,
    ( epred2_0
    | c0_1(a2087)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_330]),c_0_326]) ).

fof(c_0_339,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_340,negated_conjecture,
    ( epred10_0
    | c0_1(a2160)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_331]),c_0_299]) ).

fof(c_0_341,plain,
    ( ~ epred60_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_342,negated_conjecture,
    ( epred18_0
    | c0_1(a2160)
    | hskp1
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_299]),c_0_297]) ).

cnf(c_0_343,negated_conjecture,
    ( epred18_0
    | c0_1(a2087)
    | hskp1
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_325]),c_0_326]) ).

cnf(c_0_344,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_71 ).

cnf(c_0_345,negated_conjecture,
    ( epred25_0
    | epred8_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_346,negated_conjecture,
    ( epred34_0
    | epred12_0
    | epred8_0
    | epred1_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_347,negated_conjecture,
    ( epred34_0
    | epred2_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

fof(c_0_348,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( hskp8
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_349,negated_conjecture,
    ( epred51_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_339]) ).

cnf(c_0_350,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_42 ).

cnf(c_0_351,negated_conjecture,
    ( epred34_0
    | epred10_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_306,c_0_340]) ).

fof(c_0_352,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_353,negated_conjecture,
    ( epred60_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_341]),c_0_310])]) ).

fof(c_0_354,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( hskp2
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_355,negated_conjecture,
    ( epred34_0
    | epred18_0
    | hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_306,c_0_342]) ).

cnf(c_0_356,negated_conjecture,
    ( epred34_0
    | epred18_0
    | hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_337,c_0_343]) ).

cnf(c_0_357,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_61 ).

cnf(c_0_358,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_344,c_0_309]),c_0_317]) ).

cnf(c_0_359,negated_conjecture,
    ( epred34_0
    | epred25_0
    | epred12_0
    | epred8_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_345,c_0_346]) ).

cnf(c_0_360,negated_conjecture,
    ( epred34_0
    | epred12_0
    | epred8_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_336]) ).

cnf(c_0_361,negated_conjecture,
    ( epred23_0
    | c1_1(X1)
    | hskp8
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_348]),c_0_310])]) ).

cnf(c_0_362,negated_conjecture,
    ( c0_1(a2149)
    | ~ hskp23 ),
    i_0_103 ).

cnf(c_0_363,negated_conjecture,
    ( c3_1(a2149)
    | ~ hskp23 ),
    i_0_102 ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a2149) ),
    i_0_101 ).

cnf(c_0_365,negated_conjecture,
    ( epred51_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_301]),c_0_299]),c_0_297]) ).

cnf(c_0_366,negated_conjecture,
    ( hskp5
    | hskp23
    | hskp24 ),
    i_0_5 ).

fof(c_0_367,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_368,negated_conjecture,
    ( c0_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_310])]) ).

cnf(c_0_369,negated_conjecture,
    ( c1_1(a2082)
    | ~ hskp8 ),
    i_0_163 ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a2082) ),
    i_0_161 ).

cnf(c_0_371,negated_conjecture,
    ( c2_1(a2082)
    | ~ hskp8 ),
    i_0_162 ).

fof(c_0_372,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp8
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_373,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    i_0_14 ).

cnf(c_0_374,negated_conjecture,
    ( epred10_0
    | c0_1(a2087)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_331]),c_0_325]) ).

cnf(c_0_375,negated_conjecture,
    ( epred34_0
    | epred10_0
    | hskp12
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_351,c_0_316]) ).

cnf(c_0_376,negated_conjecture,
    ( c1_1(a2172)
    | ~ hskp25 ),
    i_0_95 ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a2172) ),
    i_0_94 ).

cnf(c_0_378,negated_conjecture,
    ( epred15_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_352]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a2172) ),
    i_0_93 ).

cnf(c_0_380,negated_conjecture,
    ( epred60_0
    | epred51_0
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_349,c_0_353]) ).

fof(c_0_381,plain,
    ( ~ epred56_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_382,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | hskp2
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_354]),c_0_310])]) ).

cnf(c_0_383,negated_conjecture,
    ( c0_1(a2110)
    | ~ hskp17 ),
    i_0_127 ).

fof(c_0_384,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( hskp10
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_385,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( hskp3
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_386,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( hskp0
        | c0_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_387,plain,
    ( ~ epred57_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_388,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp4
        | c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_389,negated_conjecture,
    ( hskp1
    | hskp17
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    i_0_36 ).

cnf(c_0_390,negated_conjecture,
    ( c3_1(a2070)
    | ~ hskp1 ),
    i_0_190 ).

cnf(c_0_391,negated_conjecture,
    ( c0_1(a2070)
    | ~ hskp1 ),
    i_0_191 ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2070) ),
    i_0_189 ).

cnf(c_0_393,negated_conjecture,
    ( epred34_0
    | epred18_0
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_316]),c_0_356]) ).

cnf(c_0_394,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    i_0_52 ).

cnf(c_0_395,negated_conjecture,
    ( ~ epred13_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_357,c_0_354]),c_0_305]) ).

cnf(c_0_396,negated_conjecture,
    ( epred34_0
    | epred25_0
    | epred12_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_360]) ).

cnf(c_0_397,negated_conjecture,
    ( c1_1(a2076)
    | ~ hskp5 ),
    i_0_175 ).

cnf(c_0_398,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a2076) ),
    i_0_173 ).

cnf(c_0_399,negated_conjecture,
    ( epred23_0
    | hskp8
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]),c_0_364]) ).

cnf(c_0_400,negated_conjecture,
    ( epred51_0
    | hskp23
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_365,c_0_366]) ).

cnf(c_0_401,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_367]) ).

cnf(c_0_402,negated_conjecture,
    ( c3_1(a2068)
    | ~ hskp0 ),
    i_0_195 ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2068) ),
    i_0_194 ).

cnf(c_0_404,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a2068) ),
    i_0_193 ).

cnf(c_0_405,negated_conjecture,
    ( hskp0
    | ~ c3_1(a2082)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).

cnf(c_0_406,negated_conjecture,
    ( epred51_0
    | c3_1(a2082)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_369]),c_0_371]) ).

cnf(c_0_407,negated_conjecture,
    ( c3_1(a2076)
    | ~ hskp5 ),
    i_0_174 ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2110) ),
    i_0_125 ).

cnf(c_0_409,negated_conjecture,
    ( epred7_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp8
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_372]),c_0_310])]) ).

cnf(c_0_410,negated_conjecture,
    ( c2_1(a2110)
    | ~ hskp17 ),
    i_0_126 ).

fof(c_0_411,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( hskp17
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_412,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_413,negated_conjecture,
    ( c2_1(X1)
    | hskp22
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_310])]) ).

cnf(c_0_414,negated_conjecture,
    ( c1_1(a2116)
    | ~ hskp18 ),
    i_0_123 ).

cnf(c_0_415,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2116) ),
    i_0_122 ).

fof(c_0_416,plain,
    ( ~ epred61_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_417,negated_conjecture,
    ( epred34_0
    | epred10_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_337,c_0_374]) ).

cnf(c_0_418,negated_conjecture,
    ( epred34_0
    | epred10_0
    | epred8_0
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_328,c_0_375]) ).

fof(c_0_419,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_420,negated_conjecture,
    ( epred12_0
    | ~ c2_1(a2172)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_376]),c_0_377]) ).

cnf(c_0_421,negated_conjecture,
    ( epred15_0
    | c2_1(a2172)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_376]),c_0_379]) ).

cnf(c_0_422,negated_conjecture,
    ( epred60_0
    | epred51_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_380]),c_0_299]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a2072) ),
    i_0_182 ).

cnf(c_0_424,negated_conjecture,
    ( epred56_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_381]),c_0_310])]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a2072) ),
    i_0_181 ).

cnf(c_0_426,negated_conjecture,
    ( epred13_0
    | c1_1(a2110)
    | hskp2
    | ~ c3_1(a2110) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_303]) ).

cnf(c_0_427,negated_conjecture,
    ( epred27_0
    | c1_1(X1)
    | hskp10
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_384]),c_0_310])]) ).

cnf(c_0_428,negated_conjecture,
    ( epred19_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp3
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_310])]) ).

cnf(c_0_429,negated_conjecture,
    ( c0_1(a2071)
    | ~ hskp2 ),
    i_0_187 ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2071) ),
    i_0_185 ).

fof(c_0_431,plain,
    ( ~ epred55_0
  <=> ! [X1] :
        ( hskp26
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_432,negated_conjecture,
    ( epred16_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_386]),c_0_310])]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a2072) ),
    i_0_183 ).

cnf(c_0_434,negated_conjecture,
    ( epred57_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_387]) ).

fof(c_0_435,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( hskp11
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2130) ),
    i_0_115 ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a2130) ),
    i_0_114 ).

cnf(c_0_438,negated_conjecture,
    ( epred5_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp4
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_388]),c_0_310])]) ).

fof(c_0_439,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( hskp16
        | c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_440,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_441,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( hskp10
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_442,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp17 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_310])]) ).

cnf(c_0_443,negated_conjecture,
    ( hskp4
    | hskp28
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_43 ).

cnf(c_0_444,negated_conjecture,
    ( hskp10
    | hskp11
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    i_0_23 ).

fof(c_0_445,plain,
    ( ~ epred64_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_446,plain,
    ( ~ epred63_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_447,plain,
    ( ~ epred54_0
  <=> ! [X1] :
        ( hskp20
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_448,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( hskp12
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_449,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( hskp4
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_450,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( hskp3
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_451,negated_conjecture,
    ( epred25_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_390]),c_0_391]),c_0_392]) ).

cnf(c_0_452,negated_conjecture,
    ( epred34_0
    | epred18_0
    | epred8_0
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_328,c_0_393]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ epred18_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_394,c_0_319]),c_0_296]) ).

cnf(c_0_454,negated_conjecture,
    ( epred34_0
    | epred25_0
    | epred12_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_396]) ).

fof(c_0_455,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( hskp11
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_456,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( hskp9
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_457,negated_conjecture,
    ( epred12_0
    | ~ c2_1(a2076)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_397]),c_0_398]) ).

cnf(c_0_458,negated_conjecture,
    ( epred8_0
    | c2_1(a2076)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_397]),c_0_398]) ).

cnf(c_0_459,negated_conjecture,
    ( epred12_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_369]),c_0_371]),c_0_370]) ).

cnf(c_0_460,negated_conjecture,
    ( epred51_0
    | epred23_0
    | hskp8
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_461,negated_conjecture,
    ( epred6_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_403]),c_0_404]) ).

cnf(c_0_462,negated_conjecture,
    ( epred51_0
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_463,negated_conjecture,
    ( hskp0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_397]),c_0_407]),c_0_398]) ).

cnf(c_0_464,negated_conjecture,
    ( epred23_0
    | hskp8
    | ~ c3_1(a2110)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_383]),c_0_408]) ).

cnf(c_0_465,negated_conjecture,
    ( epred7_0
    | c3_1(a2110)
    | hskp8
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_408]) ).

cnf(c_0_466,negated_conjecture,
    ( epred18_0
    | c3_1(a2082)
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_371]),c_0_370]) ).

cnf(c_0_467,negated_conjecture,
    ( epred14_0
    | c1_1(X1)
    | hskp17
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_411]),c_0_310])]) ).

cnf(c_0_468,negated_conjecture,
    ( epred32_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_412]) ).

cnf(c_0_469,negated_conjecture,
    ( c3_1(a2140)
    | ~ hskp22 ),
    i_0_106 ).

cnf(c_0_470,negated_conjecture,
    ( c2_1(a2140)
    | ~ hskp22 ),
    i_0_107 ).

cnf(c_0_471,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a2140) ),
    i_0_105 ).

cnf(c_0_472,negated_conjecture,
    ( hskp22
    | ~ c0_1(a2116)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_415]) ).

cnf(c_0_473,negated_conjecture,
    ( epred8_0
    | c0_1(a2116)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_414]),c_0_415]) ).

fof(c_0_474,plain,
    ( ~ epred65_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ c0_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_475,negated_conjecture,
    ( epred61_0
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_416]) ).

fof(c_0_476,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_477,negated_conjecture,
    ( c2_1(a2071)
    | ~ hskp2 ),
    i_0_186 ).

cnf(c_0_478,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    i_0_49 ).

cnf(c_0_479,negated_conjecture,
    ( epred34_0
    | epred10_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_417,c_0_418]) ).

cnf(c_0_480,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    i_0_50 ).

cnf(c_0_481,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_419]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2116) ),
    i_0_121 ).

cnf(c_0_483,negated_conjecture,
    ( epred15_0
    | epred12_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_420,c_0_421]) ).

cnf(c_0_484,negated_conjecture,
    ( hskp12
    | hskp18
    | hskp25 ),
    i_0_1 ).

cnf(c_0_485,negated_conjecture,
    ( epred8_0
    | c2_1(a2172)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_376]),c_0_377]) ).

cnf(c_0_486,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    i_0_76 ).

cnf(c_0_487,negated_conjecture,
    ( epred60_0
    | epred51_0
    | hskp12
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_422,c_0_316]) ).

cnf(c_0_488,negated_conjecture,
    ( epred60_0
    | epred51_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_380]),c_0_325]) ).

cnf(c_0_489,negated_conjecture,
    ( epred56_0
    | c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_425]) ).

cnf(c_0_490,negated_conjecture,
    ( epred13_0
    | hskp2
    | ~ c3_1(a2110) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_426]),c_0_303]) ).

cnf(c_0_491,negated_conjecture,
    ( epred27_0
    | hskp10
    | ~ c3_1(a2110)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_410]),c_0_408]) ).

cnf(c_0_492,negated_conjecture,
    ( epred19_0
    | c1_1(a2071)
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]) ).

cnf(c_0_493,negated_conjecture,
    ( epred55_0
    | c0_1(X1)
    | hskp26
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_431]),c_0_310])]) ).

cnf(c_0_494,negated_conjecture,
    ( epred16_0
    | c2_1(a2072)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_432]),c_0_433]) ).

cnf(c_0_495,negated_conjecture,
    ( epred57_0
    | c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_434]),c_0_433]) ).

cnf(c_0_496,negated_conjecture,
    ( epred48_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp11
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_435]),c_0_310])]) ).

cnf(c_0_497,negated_conjecture,
    ( epred57_0
    | c0_1(a2130)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_434]),c_0_437]) ).

cnf(c_0_498,negated_conjecture,
    ( epred5_0
    | c1_1(a2068)
    | hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_402]),c_0_404]) ).

cnf(c_0_499,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp16
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_439]),c_0_310])]) ).

cnf(c_0_500,negated_conjecture,
    ( epred17_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_440]) ).

cnf(c_0_501,negated_conjecture,
    ( epred1_0
    | c3_1(a2110)
    | hskp4
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_410]),c_0_408]) ).

cnf(c_0_502,negated_conjecture,
    ( epred47_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp10
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_441]),c_0_310])]) ).

cnf(c_0_503,negated_conjecture,
    ( epred15_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_378,c_0_442]) ).

cnf(c_0_504,negated_conjecture,
    ( c0_1(X1)
    | hskp28
    | hskp4
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_310])]) ).

cnf(c_0_505,negated_conjecture,
    ( c1_1(X1)
    | hskp11
    | hskp10
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_310])]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a2104) ),
    i_0_129 ).

cnf(c_0_507,negated_conjecture,
    ( epred64_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_445]),c_0_310])]) ).

cnf(c_0_508,negated_conjecture,
    ( epred63_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_446]),c_0_310])]) ).

cnf(c_0_509,negated_conjecture,
    ( epred54_0
    | c1_1(X1)
    | hskp20
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_447]),c_0_310])]) ).

cnf(c_0_510,negated_conjecture,
    ( epred50_0
    | c2_1(X1)
    | hskp12
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_448]),c_0_310])]) ).

cnf(c_0_511,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | hskp4
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_449]),c_0_310])]) ).

cnf(c_0_512,negated_conjecture,
    ( epred38_0
    | c1_1(X1)
    | hskp3
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_450]),c_0_310])]) ).

cnf(c_0_513,negated_conjecture,
    ( c2_1(a2084)
    | ~ hskp9 ),
    i_0_159 ).

cnf(c_0_514,negated_conjecture,
    ( epred10_0
    | ~ c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_331]),c_0_433]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a2130) ),
    i_0_113 ).

cnf(c_0_516,negated_conjecture,
    ( epred34_0
    | epred25_0
    | epred18_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_451,c_0_452]) ).

cnf(c_0_517,negated_conjecture,
    ( epred34_0
    | epred25_0
    | ~ epred18_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_518,negated_conjecture,
    ( epred28_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp11
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_455]),c_0_310])]) ).

cnf(c_0_519,negated_conjecture,
    ( epred24_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp9
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_456]),c_0_310])]) ).

cnf(c_0_520,negated_conjecture,
    ( epred12_0
    | epred8_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_457,c_0_458]) ).

cnf(c_0_521,negated_conjecture,
    ( epred51_0
    | epred23_0
    | epred12_0
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_459,c_0_460]) ).

cnf(c_0_522,negated_conjecture,
    ( epred51_0
    | epred6_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_523,negated_conjecture,
    ( epred6_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_461,c_0_463]) ).

cnf(c_0_524,negated_conjecture,
    ( epred23_0
    | epred7_0
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_464,c_0_465]) ).

cnf(c_0_525,negated_conjecture,
    ( c0_1(a2093)
    | ~ hskp11 ),
    i_0_151 ).

cnf(c_0_526,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a2093) ),
    i_0_149 ).

cnf(c_0_527,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2093) ),
    i_0_150 ).

cnf(c_0_528,negated_conjecture,
    ( epred18_0
    | hskp1
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_405,c_0_466]) ).

cnf(c_0_529,negated_conjecture,
    ( epred14_0
    | hskp17
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_362]),c_0_363]),c_0_364]) ).

cnf(c_0_530,negated_conjecture,
    ( hskp1
    | hskp17
    | hskp23 ),
    i_0_6 ).

cnf(c_0_531,negated_conjecture,
    ( hskp0
    | ~ c3_1(a2095)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_312]),c_0_313]) ).

cnf(c_0_532,negated_conjecture,
    ( epred15_0
    | c3_1(a2095)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_312]),c_0_314]) ).

cnf(c_0_533,negated_conjecture,
    ( epred32_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_470]),c_0_471]) ).

cnf(c_0_534,negated_conjecture,
    ( epred8_0
    | hskp22
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_535,negated_conjecture,
    ( epred65_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_474]) ).

cnf(c_0_536,negated_conjecture,
    ( epred61_0
    | c2_1(a2072)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_475]),c_0_433]) ).

cnf(c_0_537,negated_conjecture,
    ( epred49_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_476]) ).

cnf(c_0_538,negated_conjecture,
    ( c1_1(a2075)
    | ~ hskp28 ),
    i_0_82 ).

cnf(c_0_539,negated_conjecture,
    ( c0_1(a2075)
    | ~ hskp28 ),
    i_0_83 ).

cnf(c_0_540,negated_conjecture,
    ( c2_1(a2075)
    | ~ hskp28 ),
    i_0_81 ).

cnf(c_0_541,negated_conjecture,
    ( epred34_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_298]),c_0_429]),c_0_477]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ epred63_0
    | ~ epred25_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_446]),c_0_308]),c_0_318]) ).

cnf(c_0_543,negated_conjecture,
    ( epred34_0
    | epred10_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_479]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ epred27_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_384]),c_0_318]) ).

cnf(c_0_545,negated_conjecture,
    ( epred20_0
    | ~ c3_1(a2095)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_312]),c_0_314]) ).

cnf(c_0_546,negated_conjecture,
    ( c3_1(a2069)
    | ~ hskp26 ),
    i_0_89 ).

cnf(c_0_547,negated_conjecture,
    ( c0_1(a2069)
    | ~ hskp26 ),
    i_0_91 ).

cnf(c_0_548,negated_conjecture,
    ( c2_1(a2069)
    | ~ hskp26 ),
    i_0_90 ).

cnf(c_0_549,negated_conjecture,
    ( c3_1(a2104)
    | ~ hskp16 ),
    i_0_131 ).

cnf(c_0_550,negated_conjecture,
    ( epred15_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_414]),c_0_482]),c_0_415]) ).

cnf(c_0_551,negated_conjecture,
    ( epred15_0
    | epred12_0
    | hskp18
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_483,c_0_484]) ).

cnf(c_0_552,negated_conjecture,
    ( epred12_0
    | epred8_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_420,c_0_485]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ epred57_0
    | ~ epred56_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_486,c_0_381]),c_0_387]),c_0_305]) ).

cnf(c_0_554,negated_conjecture,
    ( epred60_0
    | epred51_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_487]),c_0_488]) ).

cnf(c_0_555,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    i_0_69 ).

cnf(c_0_556,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X3) ),
    i_0_64 ).

cnf(c_0_557,negated_conjecture,
    ( hskp26
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    i_0_39 ).

cnf(c_0_558,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    i_0_21 ).

cnf(c_0_559,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    i_0_17 ).

cnf(c_0_560,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    i_0_19 ).

cnf(c_0_561,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    i_0_56 ).

cnf(c_0_562,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1) ),
    i_0_13 ).

cnf(c_0_563,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2) ),
    i_0_22 ).

cnf(c_0_564,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2) ),
    i_0_40 ).

cnf(c_0_565,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    i_0_46 ).

cnf(c_0_566,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_59 ).

cnf(c_0_567,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_25 ).

cnf(c_0_568,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2) ),
    i_0_30 ).

cnf(c_0_569,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    i_0_75 ).

cnf(c_0_570,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_26 ).

cnf(c_0_571,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    i_0_62 ).

cnf(c_0_572,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_57 ).

cnf(c_0_573,negated_conjecture,
    ( epred18_0
    | c0_1(a2072)
    | c3_1(a2072)
    | hskp1
    | epred56_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_332,c_0_489]) ).

cnf(c_0_574,negated_conjecture,
    ( epred7_0
    | c1_1(a2072)
    | c3_1(a2072)
    | hskp8
    | epred56_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_409,c_0_489]) ).

cnf(c_0_575,negated_conjecture,
    ( epred13_0
    | hskp2
    | epred34_0
    | ~ c2_1(a2110)
    | ~ c0_1(a2110) ),
    inference(spm,[status(thm)],[c_0_490,c_0_298]) ).

cnf(c_0_576,negated_conjecture,
    ( epred27_0
    | hskp10
    | epred34_0
    | ~ hskp17
    | ~ c2_1(a2110)
    | ~ c0_1(a2110) ),
    inference(spm,[status(thm)],[c_0_491,c_0_298]) ).

cnf(c_0_577,negated_conjecture,
    ( epred51_0
    | c3_1(a2071)
    | epred19_0
    | hskp3
    | ~ c2_1(a2071)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_349,c_0_492]) ).

cnf(c_0_578,negated_conjecture,
    ( epred55_0
    | c0_1(a2082)
    | hskp26
    | epred18_0
    | hskp1
    | ~ c2_1(a2082)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_493,c_0_466]) ).

cnf(c_0_579,negated_conjecture,
    ( epred19_0
    | c1_1(a2087)
    | c3_1(a2087)
    | hskp3
    | epred18_0
    | hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_428,c_0_343]) ).

cnf(c_0_580,negated_conjecture,
    ( epred1_0
    | c1_1(a2072)
    | c3_1(a2072)
    | hskp4
    | epred16_0
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_324,c_0_494]) ).

cnf(c_0_581,negated_conjecture,
    ( epred18_0
    | c0_1(a2072)
    | c3_1(a2072)
    | hskp1
    | epred57_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_332,c_0_495]) ).

cnf(c_0_582,negated_conjecture,
    ( epred7_0
    | c1_1(a2072)
    | c3_1(a2072)
    | hskp8
    | epred57_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_409,c_0_495]) ).

cnf(c_0_583,negated_conjecture,
    ( epred48_0
    | c2_1(a2130)
    | c3_1(a2130)
    | hskp11
    | epred57_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_496,c_0_497]) ).

cnf(c_0_584,negated_conjecture,
    ( epred20_0
    | c2_1(a2068)
    | epred5_0
    | hskp4
    | ~ c3_1(a2068)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_481,c_0_498]) ).

cnf(c_0_585,negated_conjecture,
    ( epred18_0
    | c0_1(a2172)
    | c3_1(a2172)
    | hskp1
    | epred15_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_332,c_0_421]) ).

cnf(c_0_586,negated_conjecture,
    ( epred31_0
    | c2_1(a2116)
    | c3_1(a2116)
    | hskp16
    | epred8_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_499,c_0_473]) ).

cnf(c_0_587,negated_conjecture,
    ( epred18_0
    | c0_1(a2172)
    | c3_1(a2172)
    | hskp1
    | epred8_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_332,c_0_485]) ).

cnf(c_0_588,negated_conjecture,
    ( epred17_0
    | epred1_0
    | hskp4
    | ~ c2_1(a2110)
    | ~ c0_1(a2110)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_500,c_0_501]) ).

cnf(c_0_589,negated_conjecture,
    ( epred47_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp10
    | epred15_0
    | hskp1
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_590,negated_conjecture,
    ( c0_1(a2082)
    | hskp28
    | hskp4
    | ~ c3_1(a2082)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_504,c_0_369]) ).

cnf(c_0_591,negated_conjecture,
    ( c0_1(a2095)
    | hskp28
    | hskp4
    | ~ c3_1(a2095)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_504,c_0_312]) ).

cnf(c_0_592,negated_conjecture,
    ( c1_1(a2149)
    | hskp11
    | hskp10
    | ~ c3_1(a2149)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_505,c_0_362]) ).

cnf(c_0_593,negated_conjecture,
    ( c1_1(a2110)
    | hskp11
    | hskp10
    | ~ c3_1(a2110)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_505,c_0_383]) ).

cnf(c_0_594,negated_conjecture,
    ( epred64_0
    | c0_1(a2104)
    | ~ hskp16
    | ~ c2_1(a2104) ),
    inference(spm,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_595,negated_conjecture,
    ( epred63_0
    | c2_1(a2074)
    | ~ c3_1(a2074)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_508,c_0_323]) ).

cnf(c_0_596,negated_conjecture,
    ( epred54_0
    | c1_1(a2110)
    | hskp20
    | ~ c3_1(a2110)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_509,c_0_410]) ).

cnf(c_0_597,negated_conjecture,
    ( epred50_0
    | c2_1(a2074)
    | hskp12
    | ~ c0_1(a2074)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_510,c_0_323]) ).

cnf(c_0_598,negated_conjecture,
    ( epred50_0
    | c2_1(a2116)
    | hskp12
    | ~ c0_1(a2116)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_510,c_0_414]) ).

cnf(c_0_599,negated_conjecture,
    ( epred47_0
    | c2_1(a2068)
    | c0_1(a2068)
    | hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_502,c_0_402]) ).

cnf(c_0_600,negated_conjecture,
    ( epred40_0
    | c2_1(a2070)
    | hskp4
    | ~ c0_1(a2070)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_511,c_0_390]) ).

cnf(c_0_601,negated_conjecture,
    ( epred40_0
    | c2_1(a2149)
    | hskp4
    | ~ c0_1(a2149)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_511,c_0_363]) ).

cnf(c_0_602,negated_conjecture,
    ( epred38_0
    | c1_1(a2084)
    | hskp3
    | ~ c3_1(a2084)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_603,negated_conjecture,
    ( epred38_0
    | c1_1(a2110)
    | hskp3
    | ~ c3_1(a2110)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_512,c_0_410]) ).

cnf(c_0_604,negated_conjecture,
    ( epred56_0
    | epred10_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_514,c_0_489]) ).

cnf(c_0_605,negated_conjecture,
    ( epred56_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_424]),c_0_515]),c_0_437]) ).

cnf(c_0_606,negated_conjecture,
    ( epred34_0
    | epred25_0
    | ~ epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_516]),c_0_517]) ).

cnf(c_0_607,negated_conjecture,
    ( epred28_0
    | hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_325]),c_0_326]),c_0_327]) ).

cnf(c_0_608,negated_conjecture,
    ( epred24_0
    | c0_1(a2074)
    | hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_323]),c_0_322]) ).

cnf(c_0_609,negated_conjecture,
    ( epred24_0
    | hskp9
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_312]),c_0_313]),c_0_314]) ).

cnf(c_0_610,negated_conjecture,
    ( epred51_0
    | epred23_0
    | epred12_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_611,negated_conjecture,
    ( epred51_0
    | epred23_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_460]),c_0_523]) ).

cnf(c_0_612,negated_conjecture,
    ( epred23_0
    | epred12_0
    | epred7_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_459,c_0_524]) ).

cnf(c_0_613,negated_conjecture,
    ( epred19_0
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_525]),c_0_526]),c_0_527]) ).

cnf(c_0_614,negated_conjecture,
    ( epred19_0
    | c3_1(a2110)
    | hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_383]),c_0_408]) ).

cnf(c_0_615,negated_conjecture,
    ( epred18_0
    | epred6_0
    | hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_461,c_0_528]) ).

cnf(c_0_616,negated_conjecture,
    ( epred14_0
    | hskp1
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_529,c_0_530]) ).

cnf(c_0_617,negated_conjecture,
    ( epred15_0
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_531,c_0_532]) ).

cnf(c_0_618,negated_conjecture,
    ( epred32_0
    | epred8_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_533,c_0_534]) ).

cnf(c_0_619,negated_conjecture,
    ( epred65_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_535]),c_0_383]),c_0_410]) ).

cnf(c_0_620,negated_conjecture,
    ( epred61_0
    | epred10_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_514,c_0_536]) ).

cnf(c_0_621,negated_conjecture,
    ( epred57_0
    | epred10_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_514,c_0_495]) ).

cnf(c_0_622,negated_conjecture,
    ( epred51_0
    | hskp12
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_365,c_0_316]) ).

cnf(c_0_623,negated_conjecture,
    ( epred49_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_538]),c_0_539]),c_0_540]) ).

cnf(c_0_624,negated_conjecture,
    ( epred34_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_541,c_0_303]) ).

cnf(c_0_625,negated_conjecture,
    ( epred34_0
    | ~ epred63_0
    | ~ epred25_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_626,negated_conjecture,
    ( epred34_0
    | ~ epred27_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_543]) ).

cnf(c_0_627,negated_conjecture,
    ( epred7_0
    | hskp8
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_325]),c_0_326]),c_0_327]) ).

cnf(c_0_628,negated_conjecture,
    ( epred20_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_323]),c_0_321]),c_0_322]) ).

cnf(c_0_629,negated_conjecture,
    ( epred20_0
    | epred15_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_545,c_0_532]) ).

cnf(c_0_630,negated_conjecture,
    ( epred17_0
    | ~ c2_1(a2149)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_363]),c_0_362]) ).

cnf(c_0_631,negated_conjecture,
    ( epred17_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_546]),c_0_547]),c_0_548]) ).

cnf(c_0_632,negated_conjecture,
    ( epred5_0
    | c2_1(a2104)
    | hskp4
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_549]),c_0_506]) ).

cnf(c_0_633,negated_conjecture,
    ( epred15_0
    | epred12_0
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_634,negated_conjecture,
    ( epred12_0
    | epred8_0
    | hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_484]),c_0_328]) ).

cnf(c_0_635,negated_conjecture,
    ( epred60_0
    | epred51_0
    | ~ epred57_0
    | ~ epred56_0 ),
    inference(spm,[status(thm)],[c_0_553,c_0_554]) ).

cnf(c_0_636,negated_conjecture,
    ( epred2_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_330]),c_0_425]),c_0_433]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ epred65_0
    | ~ epred64_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_555,c_0_445]),c_0_474]),c_0_412]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ epred61_0
    | ~ epred60_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_556,c_0_341]),c_0_416]),c_0_419]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ epred55_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_557,c_0_431]),c_0_476]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ epred54_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_558,c_0_447]),c_0_476]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ epred51_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_448]),c_0_339]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ epred49_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_560,c_0_435]),c_0_476]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ epred47_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_561,c_0_441]),c_0_440]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ epred40_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_449]),c_0_295]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ epred38_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_563,c_0_450]),c_0_308]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_564,c_0_439]),c_0_412]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ epred28_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_455]),c_0_296]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_566,c_0_456]),c_0_308]) ).

cnf(c_0_649,negated_conjecture,
    ( ~ epred23_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_567,c_0_348]),c_0_352]) ).

cnf(c_0_650,negated_conjecture,
    ( ~ epred20_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_568,c_0_385]),c_0_419]) ).

cnf(c_0_651,negated_conjecture,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_569,c_0_386]),c_0_440]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_411]),c_0_352]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_571,c_0_372]),c_0_305]) ).

cnf(c_0_654,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_572,c_0_388]),c_0_367]) ).

cnf(c_0_655,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a2104) ),
    i_0_130 ).

cnf(c_0_656,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a2084) ),
    i_0_157 ).

cnf(c_0_657,negated_conjecture,
    ( c3_1(a2084)
    | ~ hskp9 ),
    i_0_158 ).

cnf(c_0_658,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_524,c_0_613,c_0_614,c_0_615,c_0_528,c_0_466,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_541,c_0_625,c_0_626,c_0_347,c_0_627,c_0_451,c_0_345,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_532,c_0_633,c_0_550,c_0_459,c_0_634,c_0_334,c_0_635,c_0_554,c_0_328,c_0_473,c_0_335,c_0_636,c_0_637,c_0_542,c_0_638,c_0_553,c_0_639,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_453,c_0_651,c_0_652,c_0_653,c_0_654,c_0_358,c_0_377,c_0_379,c_0_364,c_0_437,c_0_515,c_0_415,c_0_482,c_0_655,c_0_313,c_0_327,c_0_326,c_0_656,c_0_370,c_0_322,c_0_423,c_0_433,c_0_425,c_0_392,c_0_404,c_0_403,c_0_408,c_0_430,c_0_371,c_0_410,c_0_477,c_0_383,c_0_362,c_0_391,c_0_363,c_0_657,c_0_321,c_0_402,c_0_484,c_0_530,c_0_303]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN485+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 16:39:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 14.59/3.15  # ENIGMATIC: Solved by autoschedule:
% 14.59/3.15  # No SInE strategy applied
% 14.59/3.15  # Trying AutoSched0 for 150 seconds
% 14.59/3.15  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 14.59/3.15  # and selection function SelectMaxLComplexAvoidPosPred.
% 14.59/3.15  #
% 14.59/3.15  # Preprocessing time       : 0.027 s
% 14.59/3.15  # SatCheck found unsatisfiable ground set
% 14.59/3.15  
% 14.59/3.15  # Proof found!
% 14.59/3.15  # SZS status Theorem
% 14.59/3.15  # SZS output start CNFRefutation
% See solution above
% 14.59/3.15  # Training examples: 0 positive, 0 negative
% 14.59/3.15  
% 14.59/3.15  # -------------------------------------------------
% 14.59/3.15  # User time                : 0.965 s
% 14.59/3.16  # System time              : 0.027 s
% 14.59/3.16  # Total time               : 0.992 s
% 14.59/3.16  # Maximum resident set size: 7116 pages
% 14.59/3.16  
%------------------------------------------------------------------------------