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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN458+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 04:53:33 EDT 2022

% Result   : Theorem 17.25s 3.56s
% Output   : CNFRefutation 17.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  134
% Syntax   : Number of formulae    :  478 (   2 unt;   0 def)
%            Number of atoms       : 1786 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2170 ( 862   ~;1277   |;   0   &)
%                                         (  31 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   60 (  59 usr;  56 prp; 0-1 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :  199 (   0 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_188,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_188) ).

cnf(i_0_1,negated_conjecture,
    ( hskp0
    | hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_1) ).

cnf(i_0_168,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_168) ).

cnf(i_0_187,negated_conjecture,
    ( c1_1(a1080)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_187) ).

cnf(i_0_12,negated_conjecture,
    ( hskp9
    | hskp28
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_12) ).

cnf(i_0_186,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1080) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_186) ).

cnf(i_0_114,negated_conjecture,
    ( c3_1(a1103)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_114) ).

cnf(i_0_115,negated_conjecture,
    ( c0_1(a1103)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_115) ).

cnf(i_0_73,negated_conjecture,
    ( c3_1(a1092)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_73) ).

cnf(i_0_75,negated_conjecture,
    ( c0_1(a1092)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_75) ).

cnf(i_0_74,negated_conjecture,
    ( c2_1(a1092)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_74) ).

cnf(i_0_166,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a1085) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_166) ).

cnf(i_0_167,negated_conjecture,
    ( c2_1(a1085)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_167) ).

cnf(i_0_165,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a1085) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_165) ).

cnf(i_0_185,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1080) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_185) ).

cnf(i_0_32,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_32) ).

cnf(i_0_3,negated_conjecture,
    ( hskp6
    | hskp18
    | hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_3) ).

cnf(i_0_50,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_50) ).

cnf(i_0_150,negated_conjecture,
    ( c3_1(a1089)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_150) ).

cnf(i_0_151,negated_conjecture,
    ( c2_1(a1089)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_151) ).

cnf(i_0_6,negated_conjecture,
    ( hskp3
    | hskp31
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_6) ).

cnf(i_0_101,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a1120) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_101) ).

cnf(i_0_102,negated_conjecture,
    ( c2_1(a1120)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_102) ).

cnf(i_0_103,negated_conjecture,
    ( c1_1(a1120)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_103) ).

cnf(i_0_18,negated_conjecture,
    ( hskp21
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_18) ).

cnf(i_0_163,negated_conjecture,
    ( c0_1(a1086)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_163) ).

cnf(i_0_162,negated_conjecture,
    ( c2_1(a1086)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_162) ).

cnf(i_0_43,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_43) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a1103) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_113) ).

cnf(i_0_111,negated_conjecture,
    ( c0_1(a1113)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_111) ).

cnf(i_0_110,negated_conjecture,
    ( c1_1(a1113)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_110) ).

cnf(i_0_109,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1113) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_109) ).

cnf(i_0_169,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1084) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_169) ).

cnf(i_0_171,negated_conjecture,
    ( c0_1(a1084)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_171) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1083) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_173) ).

cnf(i_0_174,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1083) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_174) ).

cnf(i_0_175,negated_conjecture,
    ( c1_1(a1083)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_175) ).

cnf(i_0_69,negated_conjecture,
    ( c3_1(a1101)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_69) ).

cnf(i_0_71,negated_conjecture,
    ( c1_1(a1101)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_71) ).

cnf(i_0_70,negated_conjecture,
    ( c2_1(a1101)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_70) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1089) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_149) ).

cnf(i_0_38,negated_conjecture,
    ( hskp18
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_38) ).

cnf(i_0_34,negated_conjecture,
    ( hskp18
    | hskp30
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_34) ).

cnf(i_0_19,negated_conjecture,
    ( hskp0
    | hskp2
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_19) ).

cnf(i_0_63,negated_conjecture,
    ( c0_1(a1148)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_63) ).

cnf(i_0_62,negated_conjecture,
    ( c1_1(a1148)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_62) ).

cnf(i_0_61,negated_conjecture,
    ( c2_1(a1148)
    | ~ hskp31 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_61) ).

cnf(i_0_53,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_53) ).

cnf(i_0_85,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a1125) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_85) ).

cnf(i_0_86,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a1125) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_86) ).

cnf(i_0_170,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1084) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_170) ).

cnf(i_0_135,negated_conjecture,
    ( c3_1(a1095)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_135) ).

cnf(i_0_134,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1095) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_134) ).

cnf(i_0_20,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_20) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1090) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_145) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1090) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_146) ).

cnf(i_0_147,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a1090) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_147) ).

cnf(i_0_130,negated_conjecture,
    ( c3_1(a1097)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_130) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1097) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_129) ).

cnf(i_0_131,negated_conjecture,
    ( c1_1(a1097)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_131) ).

cnf(i_0_37,negated_conjecture,
    ( hskp4
    | hskp16
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_37) ).

cnf(i_0_45,negated_conjecture,
    ( hskp1
    | hskp28
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_45) ).

cnf(i_0_16,negated_conjecture,
    ( hskp9
    | hskp11
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_16) ).

cnf(i_0_41,negated_conjecture,
    ( hskp0
    | hskp16
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_41) ).

cnf(i_0_179,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1082) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_179) ).

cnf(i_0_178,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1082) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_178) ).

cnf(i_0_13,negated_conjecture,
    ( hskp1
    | hskp4
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_13) ).

cnf(i_0_49,negated_conjecture,
    ( hskp6
    | hskp7
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_49) ).

cnf(i_0_65,negated_conjecture,
    ( c3_1(a1109)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_65) ).

cnf(i_0_67,negated_conjecture,
    ( c0_1(a1109)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_67) ).

cnf(i_0_8,negated_conjecture,
    ( hskp5
    | hskp13
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_8) ).

cnf(i_0_177,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a1082) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_177) ).

cnf(i_0_82,negated_conjecture,
    ( c3_1(a1146)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_82) ).

cnf(i_0_83,negated_conjecture,
    ( c2_1(a1146)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_83) ).

cnf(i_0_81,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1146) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_81) ).

cnf(i_0_87,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a1125) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_87) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1086) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_161) ).

cnf(i_0_143,negated_conjecture,
    ( c2_1(a1091)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_143) ).

cnf(i_0_142,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1091) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_142) ).

cnf(i_0_141,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1091) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_141) ).

cnf(i_0_183,negated_conjecture,
    ( c3_1(a1081)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_183) ).

cnf(i_0_182,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1081) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_182) ).

cnf(i_0_181,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1081) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_181) ).

cnf(i_0_122,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1100) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_122) ).

cnf(i_0_123,negated_conjecture,
    ( c1_1(a1100)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_123) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1100) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_121) ).

cnf(i_0_159,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1087) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_159) ).

cnf(i_0_158,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1087) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_158) ).

cnf(i_0_157,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1087) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_157) ).

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

cnf(i_0_52,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_52) ).

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

cnf(i_0_59,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_59) ).

cnf(i_0_60,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_60) ).

cnf(i_0_11,negated_conjecture,
    ( hskp26
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_11) ).

cnf(i_0_21,negated_conjecture,
    ( hskp25
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_21) ).

cnf(i_0_9,negated_conjecture,
    ( hskp31
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_9) ).

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

cnf(i_0_47,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_47) ).

cnf(i_0_10,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_10) ).

cnf(i_0_40,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_40) ).

cnf(i_0_30,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_30) ).

cnf(i_0_54,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ewudtzom/input.p',i_0_54) ).

cnf(c_0_292,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    i_0_188 ).

cnf(c_0_293,negated_conjecture,
    ( hskp0
    | hskp5 ),
    i_0_1 ).

cnf(c_0_294,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    i_0_168 ).

fof(c_0_295,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_296,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]) ).

cnf(c_0_297,negated_conjecture,
    ( epred12_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_295]),c_0_296])]) ).

cnf(c_0_298,negated_conjecture,
    ( c1_1(a1080)
    | ~ hskp0 ),
    i_0_187 ).

fof(c_0_299,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_300,negated_conjecture,
    ( hskp9
    | hskp28
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    i_0_12 ).

fof(c_0_301,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1080) ),
    i_0_186 ).

cnf(c_0_303,negated_conjecture,
    ( epred12_0
    | c2_1(a1080)
    | c0_1(a1080)
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_293]) ).

fof(c_0_304,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_305,negated_conjecture,
    ( epred27_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_299]) ).

cnf(c_0_306,negated_conjecture,
    ( c3_1(a1103)
    | ~ hskp18 ),
    i_0_114 ).

cnf(c_0_307,negated_conjecture,
    ( c0_1(a1103)
    | ~ hskp18 ),
    i_0_115 ).

cnf(c_0_308,negated_conjecture,
    ( c2_1(X1)
    | hskp28
    | hskp9
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_296])]) ).

cnf(c_0_309,negated_conjecture,
    ( c3_1(a1092)
    | ~ hskp28 ),
    i_0_73 ).

cnf(c_0_310,negated_conjecture,
    ( c0_1(a1092)
    | ~ hskp28 ),
    i_0_75 ).

cnf(c_0_311,negated_conjecture,
    ( c2_1(a1092)
    | ~ hskp28 ),
    i_0_74 ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a1085) ),
    i_0_166 ).

cnf(c_0_313,negated_conjecture,
    ( epred4_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_301]) ).

cnf(c_0_314,negated_conjecture,
    ( c2_1(a1085)
    | ~ hskp5 ),
    i_0_167 ).

cnf(c_0_315,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a1085) ),
    i_0_165 ).

cnf(c_0_316,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1080) ),
    i_0_185 ).

cnf(c_0_317,negated_conjecture,
    ( epred12_0
    | c2_1(a1080)
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_293]) ).

cnf(c_0_318,negated_conjecture,
    ( epred31_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_304]) ).

cnf(c_0_319,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_32 ).

fof(c_0_320,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( hskp29
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_321,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( hskp4
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_322,negated_conjecture,
    ( epred27_0
    | ~ c2_1(a1103)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).

cnf(c_0_323,negated_conjecture,
    ( c2_1(a1103)
    | hskp28
    | hskp9
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_306]),c_0_307]) ).

cnf(c_0_324,negated_conjecture,
    ( epred27_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_309]),c_0_310]),c_0_311]) ).

cnf(c_0_325,negated_conjecture,
    ( hskp6
    | hskp18
    | hskp28 ),
    i_0_3 ).

fof(c_0_326,plain,
    ( ~ epred40_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c3_1(X3)
        | ~ ndr1_0
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_327,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_328,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X1) ),
    i_0_50 ).

cnf(c_0_329,negated_conjecture,
    ( epred4_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_314]),c_0_315]) ).

cnf(c_0_330,negated_conjecture,
    ( epred12_0
    | hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_293]) ).

fof(c_0_331,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_332,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_305,c_0_318]) ).

cnf(c_0_333,negated_conjecture,
    ( c3_1(a1089)
    | ~ hskp9 ),
    i_0_150 ).

cnf(c_0_334,negated_conjecture,
    ( c2_1(a1089)
    | ~ hskp9 ),
    i_0_151 ).

cnf(c_0_335,negated_conjecture,
    ( c0_1(X1)
    | hskp19
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_296])]) ).

cnf(c_0_336,negated_conjecture,
    ( hskp3
    | hskp31
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_6 ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a1120) ),
    i_0_101 ).

cnf(c_0_338,negated_conjecture,
    ( c2_1(a1120)
    | ~ hskp21 ),
    i_0_102 ).

cnf(c_0_339,negated_conjecture,
    ( epred22_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp29
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_320]),c_0_296])]) ).

cnf(c_0_340,negated_conjecture,
    ( c1_1(a1120)
    | ~ hskp21 ),
    i_0_103 ).

cnf(c_0_341,negated_conjecture,
    ( hskp21
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_18 ).

fof(c_0_342,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_343,negated_conjecture,
    ( epred5_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp4
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_321]),c_0_296])]) ).

cnf(c_0_344,negated_conjecture,
    ( c0_1(a1086)
    | ~ hskp6 ),
    i_0_163 ).

cnf(c_0_345,negated_conjecture,
    ( c2_1(a1086)
    | ~ hskp6 ),
    i_0_162 ).

cnf(c_0_346,negated_conjecture,
    ( epred27_0
    | hskp9
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]) ).

cnf(c_0_347,negated_conjecture,
    ( epred27_0
    | hskp18
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_348,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    i_0_43 ).

cnf(c_0_349,negated_conjecture,
    ( ~ epred40_0
    | ~ epred15_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_328,c_0_326]),c_0_327]),c_0_301]) ).

cnf(c_0_350,negated_conjecture,
    ( epred12_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_351,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_331]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a1103) ),
    i_0_113 ).

cnf(c_0_353,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_310]),c_0_311]) ).

cnf(c_0_354,negated_conjecture,
    ( epred15_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_327]) ).

cnf(c_0_355,negated_conjecture,
    ( c0_1(a1113)
    | ~ hskp19 ),
    i_0_111 ).

cnf(c_0_356,negated_conjecture,
    ( c1_1(a1113)
    | ~ hskp19 ),
    i_0_110 ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1113) ),
    i_0_109 ).

cnf(c_0_358,negated_conjecture,
    ( epred27_0
    | ~ c0_1(a1089)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_333]),c_0_334]) ).

cnf(c_0_359,negated_conjecture,
    ( c0_1(a1089)
    | hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_333]),c_0_334]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1084) ),
    i_0_169 ).

cnf(c_0_361,negated_conjecture,
    ( c0_1(a1084)
    | ~ hskp4 ),
    i_0_171 ).

cnf(c_0_362,negated_conjecture,
    ( epred40_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_326]),c_0_296])]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1083) ),
    i_0_173 ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1083) ),
    i_0_174 ).

cnf(c_0_365,negated_conjecture,
    ( c1_1(a1083)
    | ~ hskp3 ),
    i_0_175 ).

cnf(c_0_366,negated_conjecture,
    ( hskp31
    | hskp3
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_296])]) ).

cnf(c_0_367,negated_conjecture,
    ( c3_1(a1101)
    | ~ hskp29 ),
    i_0_69 ).

cnf(c_0_368,negated_conjecture,
    ( c1_1(a1101)
    | ~ hskp29 ),
    i_0_71 ).

cnf(c_0_369,negated_conjecture,
    ( c2_1(a1101)
    | ~ hskp29 ),
    i_0_70 ).

cnf(c_0_370,negated_conjecture,
    ( epred31_0
    | ~ c0_1(a1120)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_318]),c_0_338]) ).

cnf(c_0_371,negated_conjecture,
    ( epred22_0
    | c0_1(a1120)
    | hskp29
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_337]) ).

cnf(c_0_372,negated_conjecture,
    ( c1_1(X1)
    | hskp21
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_296])]) ).

fof(c_0_373,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( hskp31
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1089) ),
    i_0_149 ).

cnf(c_0_375,negated_conjecture,
    ( epred25_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_342]) ).

cnf(c_0_376,negated_conjecture,
    ( epred5_0
    | c0_1(a1120)
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_340]),c_0_337]) ).

cnf(c_0_377,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred4_0
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_332,c_0_313]) ).

cnf(c_0_378,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_344]),c_0_345]) ).

cnf(c_0_379,negated_conjecture,
    ( epred27_0
    | hskp9
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_348,c_0_295]),c_0_331]) ).

cnf(c_0_381,negated_conjecture,
    ( epred12_0
    | ~ epred40_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_350]) ).

cnf(c_0_382,negated_conjecture,
    ( epred13_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_306]),c_0_307]),c_0_352]) ).

cnf(c_0_383,negated_conjecture,
    ( epred31_0
    | epred27_0
    | hskp18
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_353,c_0_325]) ).

cnf(c_0_384,negated_conjecture,
    ( epred15_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_356]),c_0_357]) ).

cnf(c_0_385,negated_conjecture,
    ( epred27_0
    | hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

fof(c_0_386,plain,
    ( ~ epred34_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c3_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_387,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( hskp25
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_388,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp11
        | c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_389,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_390,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( hskp10
        | c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_391,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_392,negated_conjecture,
    ( hskp18
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_38 ).

cnf(c_0_393,negated_conjecture,
    ( hskp18
    | hskp30
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    i_0_34 ).

cnf(c_0_394,negated_conjecture,
    ( epred31_0
    | ~ c2_1(a1084)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_318]),c_0_361]) ).

cnf(c_0_395,negated_conjecture,
    ( epred40_0
    | c2_1(a1084)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_362]),c_0_361]) ).

cnf(c_0_396,negated_conjecture,
    ( epred40_0
    | ~ c0_1(a1083)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_362]),c_0_364]) ).

cnf(c_0_397,negated_conjecture,
    ( epred5_0
    | c0_1(a1083)
    | hskp4
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_365]),c_0_363]) ).

cnf(c_0_398,negated_conjecture,
    ( hskp31
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_368]),c_0_369]) ).

cnf(c_0_399,negated_conjecture,
    ( epred31_0
    | epred22_0
    | hskp29
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_400,negated_conjecture,
    ( hskp31
    | hskp3
    | ~ c1_1(a1092)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_309]),c_0_311]) ).

cnf(c_0_401,negated_conjecture,
    ( c1_1(a1092)
    | hskp21
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_309]),c_0_311]) ).

fof(c_0_402,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_403,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_404,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_405,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( hskp5
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_406,plain,
    ( ~ epred36_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_407,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_408,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( hskp3
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_409,negated_conjecture,
    ( hskp0
    | hskp2
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_19 ).

cnf(c_0_410,negated_conjecture,
    ( epred30_0
    | c3_1(X1)
    | hskp31
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_373]),c_0_296])]) ).

cnf(c_0_411,negated_conjecture,
    ( hskp21
    | ~ c2_1(a1103)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_306]),c_0_352]) ).

cnf(c_0_412,negated_conjecture,
    ( hskp21
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_333]),c_0_334]),c_0_374]) ).

cnf(c_0_413,negated_conjecture,
    ( epred25_0
    | ~ c1_1(a1092)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_310]),c_0_311]) ).

cnf(c_0_414,negated_conjecture,
    ( c0_1(a1148)
    | ~ hskp31 ),
    i_0_63 ).

cnf(c_0_415,negated_conjecture,
    ( c1_1(a1148)
    | ~ hskp31 ),
    i_0_62 ).

cnf(c_0_416,negated_conjecture,
    ( c2_1(a1148)
    | ~ hskp31 ),
    i_0_61 ).

cnf(c_0_417,negated_conjecture,
    ( epred31_0
    | epred5_0
    | hskp4
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_370,c_0_376]) ).

cnf(c_0_418,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    i_0_53 ).

cnf(c_0_419,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred4_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_377]),c_0_334]) ).

cnf(c_0_420,negated_conjecture,
    ( epred31_0
    | epred27_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ epred40_0
    | ~ epred15_0
    | ~ epred13_0 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_422,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_378]) ).

cnf(c_0_423,negated_conjecture,
    ( epred27_0
    | epred15_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_384,c_0_385]) ).

fof(c_0_424,plain,
    ( ~ epred38_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_425,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_426,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( hskp26
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_427,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a1125) ),
    i_0_85 ).

cnf(c_0_429,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a1125) ),
    i_0_86 ).

cnf(c_0_430,negated_conjecture,
    ( epred34_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_386]),c_0_296])]) ).

cnf(c_0_431,negated_conjecture,
    ( epred32_0
    | c1_1(X1)
    | hskp25
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_387]),c_0_296])]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1084) ),
    i_0_170 ).

cnf(c_0_433,negated_conjecture,
    ( c3_1(a1095)
    | ~ hskp13 ),
    i_0_135 ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1095) ),
    i_0_134 ).

cnf(c_0_435,negated_conjecture,
    ( epred26_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp11
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_388]),c_0_296])]) ).

cnf(c_0_436,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_20 ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1090) ),
    i_0_145 ).

cnf(c_0_438,negated_conjecture,
    ( epred37_0
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_389]),c_0_296])]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1090) ),
    i_0_146 ).

cnf(c_0_440,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a1090) ),
    i_0_147 ).

cnf(c_0_441,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp10
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_390]),c_0_296])]) ).

cnf(c_0_442,negated_conjecture,
    ( epred7_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_391]) ).

cnf(c_0_443,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp18
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_296])]) ).

fof(c_0_444,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c1_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_445,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_446,negated_conjecture,
    ( c3_1(a1097)
    | ~ hskp14 ),
    i_0_130 ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1097) ),
    i_0_129 ).

cnf(c_0_448,negated_conjecture,
    ( c0_1(X1)
    | hskp30
    | hskp18
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_296])]) ).

cnf(c_0_449,negated_conjecture,
    ( c1_1(a1097)
    | ~ hskp14 ),
    i_0_131 ).

cnf(c_0_450,negated_conjecture,
    ( epred40_0
    | epred31_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_451,negated_conjecture,
    ( epred40_0
    | epred5_0
    | hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_452,negated_conjecture,
    ( epred31_0
    | epred22_0
    | hskp31
    | hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_398,c_0_399]) ).

cnf(c_0_453,negated_conjecture,
    ( hskp31
    | hskp21
    | hskp3
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_454,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_402]) ).

cnf(c_0_455,negated_conjecture,
    ( epred29_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_403]) ).

cnf(c_0_456,negated_conjecture,
    ( epred11_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_404]) ).

cnf(c_0_457,negated_conjecture,
    ( epred23_0
    | c3_1(X1)
    | hskp5
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_405]),c_0_296])]) ).

cnf(c_0_458,negated_conjecture,
    ( epred36_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_406]),c_0_296])]) ).

cnf(c_0_459,negated_conjecture,
    ( hskp4
    | hskp16
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_37 ).

cnf(c_0_460,negated_conjecture,
    ( hskp1
    | hskp28
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    i_0_45 ).

cnf(c_0_461,negated_conjecture,
    ( hskp9
    | hskp11
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_16 ).

cnf(c_0_462,negated_conjecture,
    ( hskp0
    | hskp16
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_41 ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1082) ),
    i_0_179 ).

cnf(c_0_464,negated_conjecture,
    ( epred35_0
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_407]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1082) ),
    i_0_178 ).

cnf(c_0_466,negated_conjecture,
    ( hskp1
    | hskp4
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    i_0_13 ).

cnf(c_0_467,negated_conjecture,
    ( epred3_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp3
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_408]),c_0_296])]) ).

cnf(c_0_468,negated_conjecture,
    ( hskp6
    | hskp7
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_49 ).

cnf(c_0_469,negated_conjecture,
    ( c1_1(X1)
    | hskp2
    | hskp0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_409,c_0_296])]) ).

cnf(c_0_470,negated_conjecture,
    ( epred30_0
    | hskp31
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_338]),c_0_340]),c_0_337]) ).

cnf(c_0_471,negated_conjecture,
    ( hskp28
    | hskp21
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_323]),c_0_412]) ).

cnf(c_0_472,negated_conjecture,
    ( epred25_0
    | hskp21
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_413,c_0_401]) ).

cnf(c_0_473,negated_conjecture,
    ( epred25_0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_414]),c_0_415]),c_0_416]) ).

cnf(c_0_474,negated_conjecture,
    ( c3_1(a1109)
    | ~ hskp30 ),
    i_0_65 ).

cnf(c_0_475,negated_conjecture,
    ( c0_1(a1109)
    | ~ hskp30 ),
    i_0_67 ).

cnf(c_0_476,negated_conjecture,
    ( epred31_0
    | epred5_0
    | hskp4
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_417,c_0_412]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_418,c_0_321]),c_0_301]) ).

cnf(c_0_478,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_419,c_0_420]) ).

cnf(c_0_479,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ epred40_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_480,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_423,c_0_420]) ).

cnf(c_0_481,negated_conjecture,
    ( hskp5
    | hskp13
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_8 ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a1082) ),
    i_0_177 ).

cnf(c_0_483,negated_conjecture,
    ( epred38_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_424]) ).

cnf(c_0_484,negated_conjecture,
    ( epred42_0
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_425]),c_0_296])]) ).

cnf(c_0_485,negated_conjecture,
    ( c3_1(a1146)
    | ~ hskp26 ),
    i_0_82 ).

cnf(c_0_486,negated_conjecture,
    ( c2_1(a1146)
    | ~ hskp26 ),
    i_0_83 ).

cnf(c_0_487,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1146) ),
    i_0_81 ).

cnf(c_0_488,negated_conjecture,
    ( epred33_0
    | c2_1(X1)
    | hskp26
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_426]),c_0_296])]) ).

cnf(c_0_489,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_427]),c_0_296])]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a1125) ),
    i_0_87 ).

cnf(c_0_491,negated_conjecture,
    ( epred40_0
    | ~ c0_1(a1125)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_362]),c_0_429]) ).

cnf(c_0_492,negated_conjecture,
    ( epred34_0
    | c0_1(a1125)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_430]),c_0_429]) ).

cnf(c_0_493,negated_conjecture,
    ( epred32_0
    | hskp25
    | ~ c2_1(a1084)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_361]),c_0_432]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1086) ),
    i_0_161 ).

fof(c_0_495,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_496,negated_conjecture,
    ( c2_1(a1091)
    | ~ hskp11 ),
    i_0_143 ).

cnf(c_0_497,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1091) ),
    i_0_142 ).

cnf(c_0_498,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1091) ),
    i_0_141 ).

cnf(c_0_499,negated_conjecture,
    ( epred13_0
    | ~ c0_1(a1095)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_433]),c_0_434]) ).

cnf(c_0_500,negated_conjecture,
    ( epred26_0
    | c0_1(a1095)
    | hskp11
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_433]),c_0_434]) ).

cnf(c_0_501,negated_conjecture,
    ( c1_1(X1)
    | hskp14
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_296])]) ).

cnf(c_0_502,negated_conjecture,
    ( epred37_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_439]),c_0_440]) ).

cnf(c_0_503,negated_conjecture,
    ( epred37_0
    | epred24_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_441,c_0_438]) ).

cnf(c_0_504,negated_conjecture,
    ( epred7_0
    | ~ c0_1(a1120)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_442]),c_0_340]) ).

cnf(c_0_505,negated_conjecture,
    ( c0_1(a1120)
    | hskp18
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_338]),c_0_337]) ).

cnf(c_0_506,negated_conjecture,
    ( c3_1(a1081)
    | ~ hskp1 ),
    i_0_183 ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1081) ),
    i_0_182 ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1081) ),
    i_0_181 ).

cnf(c_0_509,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1100) ),
    i_0_122 ).

cnf(c_0_510,negated_conjecture,
    ( epred17_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_444]) ).

cnf(c_0_511,negated_conjecture,
    ( c1_1(a1100)
    | ~ hskp16 ),
    i_0_123 ).

cnf(c_0_512,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1100) ),
    i_0_121 ).

cnf(c_0_513,negated_conjecture,
    ( epred2_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_445]) ).

cnf(c_0_514,negated_conjecture,
    ( epred7_0
    | c2_1(X1)
    | hskp28
    | hskp9
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_308,c_0_442]) ).

cnf(c_0_515,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ c0_1(a1097)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_446]),c_0_447]) ).

cnf(c_0_516,negated_conjecture,
    ( c0_1(a1097)
    | hskp30
    | hskp18
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_446]),c_0_449]) ).

cnf(c_0_517,negated_conjecture,
    ( epred40_0
    | epred31_0
    | epred5_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_450,c_0_451]) ).

cnf(c_0_518,negated_conjecture,
    ( epred31_0
    | epred22_0
    | hskp31
    | hskp3
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_519,negated_conjecture,
    ( epred31_0
    | epred22_0
    | hskp31
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_452,c_0_412]) ).

cnf(c_0_520,negated_conjecture,
    ( epred40_0
    | epred39_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_454,c_0_362]) ).

cnf(c_0_521,negated_conjecture,
    ( epred40_0
    | epred29_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_455,c_0_362]) ).

cnf(c_0_522,negated_conjecture,
    ( epred37_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp19
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_335,c_0_438]) ).

cnf(c_0_523,negated_conjecture,
    ( epred37_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp21
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_372,c_0_438]) ).

cnf(c_0_524,negated_conjecture,
    ( epred37_0
    | epred11_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_456,c_0_438]) ).

cnf(c_0_525,negated_conjecture,
    ( epred23_0
    | c3_1(a1086)
    | hskp5
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_345]),c_0_344]) ).

cnf(c_0_526,negated_conjecture,
    ( epred36_0
    | ~ c0_1(a1120)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_458]),c_0_340]) ).

cnf(c_0_527,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp16
    | hskp4
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_296])]) ).

cnf(c_0_528,negated_conjecture,
    ( epred34_0
    | c2_1(a1090)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_430]),c_0_440]) ).

cnf(c_0_529,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp28
    | hskp1
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_460,c_0_296])]) ).

cnf(c_0_530,negated_conjecture,
    ( c3_1(a1085)
    | hskp18
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_314]),c_0_312]) ).

cnf(c_0_531,negated_conjecture,
    ( c1_1(X1)
    | hskp11
    | hskp9
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_296])]) ).

cnf(c_0_532,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp16
    | hskp0
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_462,c_0_296])]) ).

cnf(c_0_533,negated_conjecture,
    ( epred35_0
    | c1_1(a1082)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_465]) ).

cnf(c_0_534,negated_conjecture,
    ( epred35_0
    | c2_1(a1090)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_464]),c_0_439]) ).

cnf(c_0_535,negated_conjecture,
    ( c2_1(X1)
    | hskp4
    | hskp1
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_296])]) ).

cnf(c_0_536,negated_conjecture,
    ( epred3_0
    | c0_1(a1097)
    | hskp3
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_449]),c_0_447]) ).

cnf(c_0_537,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp7
    | hskp6
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_296])]) ).

cnf(c_0_538,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ c2_1(a1084)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_361]),c_0_432]) ).

cnf(c_0_539,negated_conjecture,
    ( epred30_0
    | hskp31
    | hskp28
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_540,negated_conjecture,
    ( epred30_0
    | epred25_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_472]),c_0_473]) ).

cnf(c_0_541,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | hskp28
    | hskp9
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_308,c_0_362]) ).

cnf(c_0_542,negated_conjecture,
    ( epred27_0
    | ~ c2_1(a1109)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_474]),c_0_475]) ).

cnf(c_0_543,negated_conjecture,
    ( c2_1(a1109)
    | hskp28
    | hskp9
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_474]),c_0_475]) ).

cnf(c_0_544,negated_conjecture,
    ( epred40_0
    | epred31_0
    | epred5_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_450,c_0_476]) ).

cnf(c_0_545,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_546,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ epred40_0 ),
    inference(spm,[status(thm)],[c_0_479,c_0_480]) ).

cnf(c_0_547,negated_conjecture,
    ( epred11_0
    | ~ c2_1(a1103)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_306]),c_0_352]) ).

cnf(c_0_548,negated_conjecture,
    ( epred11_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_333]),c_0_334]),c_0_374]) ).

cnf(c_0_549,negated_conjecture,
    ( hskp13
    | hskp5
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_296])]) ).

cnf(c_0_550,negated_conjecture,
    ( epred38_0
    | ~ c1_1(a1082)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_465]) ).

cnf(c_0_551,negated_conjecture,
    ( epred42_0
    | c1_1(a1082)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_484]),c_0_465]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1087) ),
    i_0_159 ).

cnf(c_0_553,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1087) ),
    i_0_158 ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1087) ),
    i_0_157 ).

cnf(c_0_555,negated_conjecture,
    ( hskp19
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_485]),c_0_486]),c_0_487]) ).

cnf(c_0_556,negated_conjecture,
    ( epred33_0
    | hskp26
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_446]),c_0_449]),c_0_447]) ).

cnf(c_0_557,negated_conjecture,
    ( epred6_0
    | c2_1(a1084)
    | hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_489]),c_0_432]) ).

cnf(c_0_558,negated_conjecture,
    ( epred6_0
    | hskp9
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_489]),c_0_490]),c_0_429]) ).

cnf(c_0_559,negated_conjecture,
    ( epred40_0
    | epred34_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_491,c_0_492]) ).

cnf(c_0_560,negated_conjecture,
    ( epred40_0
    | epred32_0
    | hskp25
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_493,c_0_395]) ).

cnf(c_0_561,negated_conjecture,
    ( epred32_0
    | hskp25
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_344]),c_0_345]),c_0_494]) ).

cnf(c_0_562,negated_conjecture,
    ( epred30_0
    | hskp31
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_470,c_0_412]) ).

cnf(c_0_563,negated_conjecture,
    ( epred41_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_495]),c_0_296])]) ).

cnf(c_0_564,negated_conjecture,
    ( hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_496]),c_0_497]),c_0_498]) ).

cnf(c_0_565,negated_conjecture,
    ( epred26_0
    | epred13_0
    | hskp11
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_566,negated_conjecture,
    ( hskp14
    | ~ c2_1(a1084)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_361]),c_0_432]) ).

cnf(c_0_567,negated_conjecture,
    ( epred37_0
    | epred24_0
    | c0_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_568,negated_conjecture,
    ( epred7_0
    | hskp18
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_569,negated_conjecture,
    ( epred29_0
    | ~ c1_1(a1092)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_309]),c_0_310]) ).

cnf(c_0_570,negated_conjecture,
    ( c1_1(a1092)
    | hskp14
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_310]),c_0_311]) ).

cnf(c_0_571,negated_conjecture,
    ( epred13_0
    | ~ c0_1(a1089)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_333]),c_0_374]) ).

cnf(c_0_572,negated_conjecture,
    ( hskp19
    | ~ c2_1(a1081)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_506]),c_0_507]) ).

cnf(c_0_573,negated_conjecture,
    ( epred35_0
    | c2_1(a1081)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_464]),c_0_508]) ).

cnf(c_0_574,negated_conjecture,
    ( epred38_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_483]),c_0_365]),c_0_364]) ).

cnf(c_0_575,negated_conjecture,
    ( epred3_0
    | hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_298]),c_0_302]),c_0_316]) ).

cnf(c_0_576,negated_conjecture,
    ( epred17_0
    | ~ c2_1(a1100)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]) ).

cnf(c_0_577,negated_conjecture,
    ( epred38_0
    | c2_1(a1100)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_483]),c_0_511]) ).

cnf(c_0_578,negated_conjecture,
    ( epred34_0
    | epred2_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_513,c_0_430]) ).

cnf(c_0_579,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2) ),
    i_0_57 ).

cnf(c_0_580,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    i_0_52 ).

cnf(c_0_581,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X2) ),
    i_0_55 ).

cnf(c_0_582,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c3_1(X2) ),
    i_0_59 ).

cnf(c_0_583,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_60 ).

cnf(c_0_584,negated_conjecture,
    ( hskp26
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_11 ).

cnf(c_0_585,negated_conjecture,
    ( hskp25
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    i_0_21 ).

cnf(c_0_586,negated_conjecture,
    ( hskp31
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    i_0_9 ).

cnf(c_0_587,negated_conjecture,
    ( hskp11
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_46 ).

cnf(c_0_588,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    i_0_47 ).

cnf(c_0_589,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1) ),
    i_0_10 ).

cnf(c_0_590,negated_conjecture,
    ( hskp29
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_40 ).

cnf(c_0_591,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    i_0_30 ).

cnf(c_0_592,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    i_0_54 ).

cnf(c_0_593,negated_conjecture,
    ( epred7_0
    | c2_1(a1113)
    | hskp28
    | hskp9
    | ~ c1_1(a1113)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_514,c_0_355]) ).

cnf(c_0_594,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp30
    | hskp18
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_515,c_0_516]) ).

cnf(c_0_595,negated_conjecture,
    ( epred40_0
    | epred31_0
    | epred5_0
    | epred22_0
    | hskp31
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_596,negated_conjecture,
    ( epred40_0
    | epred31_0
    | epred5_0
    | epred22_0
    | hskp31
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_517,c_0_519]) ).

cnf(c_0_597,negated_conjecture,
    ( epred40_0
    | epred39_0
    | c2_1(a1113)
    | ~ c1_1(a1113)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_520,c_0_355]) ).

cnf(c_0_598,negated_conjecture,
    ( epred40_0
    | epred29_0
    | c2_1(a1113)
    | ~ c1_1(a1113)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_521,c_0_355]) ).

cnf(c_0_599,negated_conjecture,
    ( epred37_0
    | c0_1(a1085)
    | c1_1(a1085)
    | hskp19
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_522,c_0_314]) ).

cnf(c_0_600,negated_conjecture,
    ( epred37_0
    | c0_1(a1085)
    | c1_1(a1085)
    | hskp21
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_523,c_0_314]) ).

cnf(c_0_601,negated_conjecture,
    ( epred37_0
    | epred11_0
    | c1_1(a1085)
    | ~ hskp5
    | ~ c2_1(a1085) ),
    inference(spm,[status(thm)],[c_0_312,c_0_524]) ).

cnf(c_0_602,negated_conjecture,
    ( epred13_0
    | c1_1(a1086)
    | epred23_0
    | hskp5
    | ~ c0_1(a1086)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_351,c_0_525]) ).

cnf(c_0_603,negated_conjecture,
    ( epred36_0
    | epred17_0
    | ~ hskp21
    | ~ c2_1(a1120)
    | ~ c1_1(a1120) ),
    inference(spm,[status(thm)],[c_0_526,c_0_510]) ).

cnf(c_0_604,negated_conjecture,
    ( c3_1(a1090)
    | c0_1(a1090)
    | hskp16
    | hskp4
    | epred34_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_527,c_0_528]) ).

cnf(c_0_605,negated_conjecture,
    ( epred25_0
    | hskp18
    | ~ c2_1(a1120)
    | ~ c1_1(a1120)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_375,c_0_505]) ).

cnf(c_0_606,negated_conjecture,
    ( c0_1(a1085)
    | c1_1(a1085)
    | hskp28
    | hskp1
    | hskp18
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_529,c_0_530]) ).

cnf(c_0_607,negated_conjecture,
    ( c0_1(a1085)
    | hskp19
    | hskp18
    | ~ c2_1(a1085)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_335,c_0_530]) ).

cnf(c_0_608,negated_conjecture,
    ( c1_1(a1085)
    | hskp11
    | hskp9
    | hskp18
    | ~ c2_1(a1085)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_531,c_0_530]) ).

cnf(c_0_609,negated_conjecture,
    ( epred11_0
    | c1_1(a1085)
    | hskp18
    | ~ c2_1(a1085)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_456,c_0_530]) ).

cnf(c_0_610,negated_conjecture,
    ( c1_1(a1089)
    | hskp14
    | hskp19
    | ~ c2_1(a1089)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_501,c_0_359]) ).

cnf(c_0_611,negated_conjecture,
    ( c2_1(a1082)
    | c0_1(a1082)
    | hskp16
    | hskp0
    | epred35_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_532,c_0_533]) ).

cnf(c_0_612,negated_conjecture,
    ( c3_1(a1090)
    | c0_1(a1090)
    | hskp16
    | hskp4
    | epred35_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_527,c_0_534]) ).

cnf(c_0_613,negated_conjecture,
    ( c2_1(a1097)
    | hskp4
    | hskp1
    | epred3_0
    | hskp3
    | ~ c1_1(a1097)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_535,c_0_536]) ).

cnf(c_0_614,negated_conjecture,
    ( epred15_0
    | c2_1(a1097)
    | epred3_0
    | hskp3
    | ~ c1_1(a1097)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_354,c_0_536]) ).

cnf(c_0_615,negated_conjecture,
    ( epred7_0
    | epred17_0
    | ~ hskp21
    | ~ c2_1(a1120)
    | ~ c1_1(a1120) ),
    inference(spm,[status(thm)],[c_0_504,c_0_510]) ).

cnf(c_0_616,negated_conjecture,
    ( c0_1(a1085)
    | c1_1(a1085)
    | hskp7
    | hskp6
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_537,c_0_314]) ).

cnf(c_0_617,negated_conjecture,
    ( epred40_0
    | hskp2
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_538,c_0_395]) ).

cnf(c_0_618,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_344]),c_0_345]),c_0_494]) ).

cnf(c_0_619,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_355]),c_0_356]),c_0_357]) ).

cnf(c_0_620,negated_conjecture,
    ( epred30_0
    | epred25_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_539]),c_0_540]) ).

cnf(c_0_621,negated_conjecture,
    ( epred40_0
    | hskp28
    | hskp9
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_355]),c_0_357]) ).

cnf(c_0_622,negated_conjecture,
    ( c1_1(a1092)
    | hskp11
    | hskp9
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_309]),c_0_311]) ).

cnf(c_0_623,negated_conjecture,
    ( epred27_0
    | hskp9
    | ~ hskp30 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_324]) ).

cnf(c_0_624,negated_conjecture,
    ( epred31_0
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_420]),c_0_545]),c_0_546]) ).

cnf(c_0_625,negated_conjecture,
    ( epred11_0
    | hskp28
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_323]),c_0_548]) ).

cnf(c_0_626,negated_conjecture,
    ( hskp13
    | hskp5
    | ~ c1_1(a1092)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_310]),c_0_311]) ).

cnf(c_0_627,negated_conjecture,
    ( epred42_0
    | epred38_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_628,negated_conjecture,
    ( epred42_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_484]),c_0_553]),c_0_554]) ).

cnf(c_0_629,negated_conjecture,
    ( epred33_0
    | hskp19
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_555,c_0_556]) ).

cnf(c_0_630,negated_conjecture,
    ( epred32_0
    | epred6_0
    | hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_557]),c_0_558]) ).

cnf(c_0_631,negated_conjecture,
    ( epred40_0
    | epred34_0
    | epred32_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_632,negated_conjecture,
    ( epred40_0
    | epred34_0
    | epred32_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_559,c_0_561]) ).

cnf(c_0_633,negated_conjecture,
    ( epred30_0
    | epred25_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_473,c_0_562]) ).

cnf(c_0_634,negated_conjecture,
    ( epred41_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_563]),c_0_314]),c_0_315]) ).

cnf(c_0_635,negated_conjecture,
    ( epred26_0
    | hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_506]),c_0_508]),c_0_507]) ).

cnf(c_0_636,negated_conjecture,
    ( epred26_0
    | epred13_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_382]) ).

cnf(c_0_637,negated_conjecture,
    ( epred40_0
    | hskp14
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_566,c_0_395]) ).

cnf(c_0_638,negated_conjecture,
    ( epred24_0
    | hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_506]),c_0_508]),c_0_507]) ).

cnf(c_0_639,negated_conjecture,
    ( epred37_0
    | epred24_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_567]),c_0_315]) ).

cnf(c_0_640,negated_conjecture,
    ( epred7_0
    | hskp18
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_568,c_0_412]) ).

cnf(c_0_641,negated_conjecture,
    ( hskp14
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_344]),c_0_345]),c_0_494]) ).

cnf(c_0_642,negated_conjecture,
    ( hskp14
    | ~ c2_1(a1103)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_307]),c_0_352]) ).

cnf(c_0_643,negated_conjecture,
    ( epred29_0
    | hskp14
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_569,c_0_570]) ).

cnf(c_0_644,negated_conjecture,
    ( epred13_0
    | hskp19
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_571,c_0_359]) ).

cnf(c_0_645,negated_conjecture,
    ( epred35_0
    | hskp19
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_572,c_0_573]) ).

cnf(c_0_646,negated_conjecture,
    ( epred39_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_446]),c_0_449]),c_0_447]) ).

cnf(c_0_647,negated_conjecture,
    ( epred38_0
    | epred3_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_574,c_0_575]) ).

cnf(c_0_648,negated_conjecture,
    ( epred38_0
    | epred17_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_576,c_0_577]) ).

cnf(c_0_649,negated_conjecture,
    ( epred35_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_464]),c_0_553]),c_0_554]) ).

cnf(c_0_650,negated_conjecture,
    ( epred13_0
    | c1_1(a1092)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_309]),c_0_310]) ).

cnf(c_0_651,negated_conjecture,
    ( epred34_0
    | epred2_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_578]),c_0_554]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ epred42_0
    | ~ epred29_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_579,c_0_425]),c_0_299]),c_0_403]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ epred41_0
    | ~ epred25_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_580,c_0_495]),c_0_444]),c_0_342]) ).

cnf(c_0_654,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_581,c_0_389]),c_0_424]),c_0_402]) ).

cnf(c_0_655,negated_conjecture,
    ( ~ epred36_0
    | ~ epred35_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_582,c_0_406]),c_0_407]),c_0_445]) ).

cnf(c_0_656,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_583,c_0_386]),c_0_407]),c_0_404]) ).

cnf(c_0_657,negated_conjecture,
    ( ~ epred33_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_584,c_0_426]),c_0_299]) ).

cnf(c_0_658,negated_conjecture,
    ( ~ epred32_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_585,c_0_387]),c_0_342]) ).

cnf(c_0_659,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_586,c_0_373]),c_0_304]) ).

cnf(c_0_660,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_587,c_0_388]),c_0_299]) ).

cnf(c_0_661,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_588,c_0_390]),c_0_342]) ).

cnf(c_0_662,negated_conjecture,
    ( ~ epred23_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_589,c_0_405]),c_0_391]) ).

cnf(c_0_663,negated_conjecture,
    ( ~ epred22_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_590,c_0_320]),c_0_404]) ).

cnf(c_0_664,negated_conjecture,
    ( ~ epred7_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_591,c_0_427]),c_0_391]) ).

cnf(c_0_665,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_592,c_0_408]),c_0_301]) ).

cnf(c_0_666,plain,
    $false,
    inference(cdclpropres,[status(thm)],[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_613,c_0_614,c_0_615,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_471,c_0_625,c_0_323,c_0_626,c_0_627,c_0_628,c_0_629,c_0_556,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_635,c_0_636,c_0_451,c_0_637,c_0_450,c_0_638,c_0_639,c_0_330,c_0_640,c_0_564,c_0_641,c_0_642,c_0_643,c_0_644,c_0_385,c_0_555,c_0_645,c_0_646,c_0_417,c_0_647,c_0_574,c_0_648,c_0_649,c_0_324,c_0_473,c_0_384,c_0_382,c_0_650,c_0_329,c_0_651,c_0_652,c_0_653,c_0_349,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_380,c_0_664,c_0_477,c_0_665,c_0_357,c_0_447,c_0_437,c_0_440,c_0_374,c_0_494,c_0_465,c_0_463,c_0_312,c_0_315,c_0_334,c_0_314,c_0_338,c_0_344,c_0_340,c_0_356,c_0_449,c_0_325]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN458+1 : TPTP v8.1.0. Released v2.1.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 14:00:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 17.25/3.56  # ENIGMATIC: Solved by autoschedule:
% 17.25/3.56  # No SInE strategy applied
% 17.25/3.56  # Trying AutoSched0 for 150 seconds
% 17.25/3.56  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 17.25/3.56  # and selection function SelectMaxLComplexAvoidPosPred.
% 17.25/3.56  #
% 17.25/3.56  # Preprocessing time       : 0.027 s
% 17.25/3.56  # SatCheck found unsatisfiable ground set
% 17.25/3.56  
% 17.25/3.56  # Proof found!
% 17.25/3.56  # SZS status Theorem
% 17.25/3.56  # SZS output start CNFRefutation
% See solution above
% 17.25/3.56  # Training examples: 0 positive, 0 negative
% 17.25/3.56  
% 17.25/3.56  # -------------------------------------------------
% 17.25/3.56  # User time                : 1.138 s
% 17.25/3.56  # System time              : 0.043 s
% 17.25/3.56  # Total time               : 1.181 s
% 17.25/3.56  # Maximum resident set size: 7124 pages
% 17.25/3.56  
%------------------------------------------------------------------------------