TSTP Solution File: SYN461+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN461+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 04:53:36 EDT 2022

% Result   : Theorem 18.16s 3.61s
% Output   : CNFRefutation 18.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  147
% Syntax   : Number of formulae    :  529 (   2 unt;   0 def)
%            Number of atoms       : 2074 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2435 ( 890   ~;1502   |;   0   &)
%                                         (  43 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   70 (  69 usr;  66 prp; 0-1 aty)
%            Number of functors    :   21 (  21 usr;  21 con; 0-0 aty)
%            Number of variables   :  241 (   1 sgn  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_64,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_64) ).

cnf(i_0_5,negated_conjecture,
    ( hskp8
    | hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_5) ).

cnf(i_0_144,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_144) ).

cnf(i_0_28,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_28) ).

cnf(i_0_174,negated_conjecture,
    ( c1_1(a1168)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_174) ).

cnf(i_0_175,negated_conjecture,
    ( c0_1(a1168)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_175) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1168) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_173) ).

cnf(i_0_11,negated_conjecture,
    ( hskp14
    | hskp22
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_11) ).

cnf(i_0_16,negated_conjecture,
    ( hskp14
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_16) ).

cnf(i_0_166,negated_conjecture,
    ( c3_1(a1172)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_166) ).

cnf(i_0_165,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1172) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_165) ).

cnf(i_0_171,negated_conjecture,
    ( c1_1(a1169)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_171) ).

cnf(i_0_170,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a1169) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_170) ).

cnf(i_0_167,negated_conjecture,
    ( c2_1(a1172)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_167) ).

cnf(i_0_77,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1232) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_77) ).

cnf(i_0_79,negated_conjecture,
    ( c3_1(a1232)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_79) ).

cnf(i_0_78,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a1232) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_78) ).

cnf(i_0_123,negated_conjecture,
    ( c1_1(a1192)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_123) ).

cnf(i_0_122,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a1192) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_122) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1192) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_121) ).

cnf(i_0_4,negated_conjecture,
    ( hskp2
    | hskp13
    | hskp17 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_4) ).

cnf(i_0_117,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1194) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_117) ).

cnf(i_0_118,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a1194) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_118) ).

cnf(i_0_119,negated_conjecture,
    ( c2_1(a1194)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_119) ).

cnf(i_0_106,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1200) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_106) ).

cnf(i_0_107,negated_conjecture,
    ( c0_1(a1200)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_107) ).

cnf(i_0_85,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1211) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_85) ).

cnf(i_0_87,negated_conjecture,
    ( c0_1(a1211)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_87) ).

cnf(i_0_86,negated_conjecture,
    ( c3_1(a1211)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_86) ).

cnf(i_0_70,negated_conjecture,
    ( c1_1(a1190)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_70) ).

cnf(i_0_71,negated_conjecture,
    ( c0_1(a1190)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_71) ).

cnf(i_0_69,negated_conjecture,
    ( c3_1(a1190)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_69) ).

cnf(i_0_7,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp26 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_7) ).

cnf(i_0_105,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1200) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_105) ).

cnf(i_0_6,negated_conjecture,
    ( hskp0
    | hskp1
    | hskp14 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_6) ).

cnf(i_0_30,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_30) ).

cnf(i_0_56,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_56) ).

cnf(i_0_19,negated_conjecture,
    ( hskp11
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_19) ).

cnf(i_0_89,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1207) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_89) ).

cnf(i_0_91,negated_conjecture,
    ( c2_1(a1207)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_91) ).

cnf(i_0_90,negated_conjecture,
    ( c3_1(a1207)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_90) ).

cnf(i_0_48,negated_conjecture,
    ( hskp3
    | hskp6
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_48) ).

cnf(i_0_35,negated_conjecture,
    ( hskp26
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_35) ).

cnf(i_0_98,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1204) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_98) ).

cnf(i_0_97,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1204) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_97) ).

cnf(i_0_99,negated_conjecture,
    ( c3_1(a1204)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_99) ).

cnf(i_0_169,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a1169) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_169) ).

cnf(i_0_134,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1184) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_134) ).

cnf(i_0_133,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1184) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_133) ).

cnf(i_0_150,negated_conjecture,
    ( c2_1(a1178)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_150) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a1178) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_149) ).

cnf(i_0_151,negated_conjecture,
    ( c1_1(a1178)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_151) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1174) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_161) ).

cnf(i_0_163,negated_conjecture,
    ( c0_1(a1174)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_163) ).

cnf(i_0_53,negated_conjecture,
    ( hskp0
    | hskp3
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_53) ).

cnf(i_0_17,negated_conjecture,
    ( hskp17
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_17) ).

cnf(i_0_14,negated_conjecture,
    ( hskp19
    | hskp23
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_14) ).

cnf(i_0_22,negated_conjecture,
    ( hskp13
    | hskp19
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_22) ).

cnf(i_0_9,negated_conjecture,
    ( hskp2
    | hskp22
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_9) ).

cnf(i_0_8,negated_conjecture,
    ( hskp10
    | hskp13
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_8) ).

cnf(i_0_135,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a1184) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_135) ).

cnf(i_0_162,negated_conjecture,
    ( c1_1(a1174)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_162) ).

cnf(i_0_54,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_54) ).

cnf(i_0_1,negated_conjecture,
    ( hskp8
    | hskp19
    | hskp21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_1) ).

cnf(i_0_27,negated_conjecture,
    ( hskp11
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_27) ).

cnf(i_0_61,negated_conjecture,
    ( c3_1(a1236)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_61) ).

cnf(i_0_63,negated_conjecture,
    ( c0_1(a1236)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_63) ).

cnf(i_0_62,negated_conjecture,
    ( c2_1(a1236)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_62) ).

cnf(i_0_82,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1218) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_82) ).

cnf(i_0_141,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1180) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_141) ).

cnf(i_0_131,negated_conjecture,
    ( c0_1(a1186)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_131) ).

cnf(i_0_143,negated_conjecture,
    ( c1_1(a1180)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_143) ).

cnf(i_0_73,negated_conjecture,
    ( c3_1(a1182)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_73) ).

cnf(i_0_109,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1199) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_109) ).

cnf(i_0_81,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a1218) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_81) ).

cnf(i_0_147,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1179) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_147) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1179) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_146) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1179) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_145) ).

cnf(i_0_142,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1180) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_142) ).

cnf(i_0_74,negated_conjecture,
    ( c2_1(a1182)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_74) ).

cnf(i_0_83,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1218) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_83) ).

cnf(i_0_23,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_23) ).

cnf(i_0_37,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_37) ).

cnf(i_0_41,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_41) ).

cnf(i_0_49,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_49) ).

cnf(i_0_52,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_52) ).

cnf(i_0_55,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_55) ).

cnf(i_0_13,negated_conjecture,
    ( hskp25
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_13) ).

cnf(i_0_25,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_25) ).

cnf(i_0_43,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_43) ).

cnf(i_0_32,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_32) ).

cnf(i_0_42,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_42) ).

cnf(i_0_44,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_44) ).

cnf(i_0_46,negated_conjecture,
    ( hskp8
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_46) ).

cnf(i_0_47,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_47) ).

cnf(i_0_34,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_34) ).

cnf(i_0_58,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_58) ).

cnf(i_0_59,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_59) ).

cnf(i_0_29,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_29) ).

cnf(i_0_110,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1199) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_110) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1186) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_129) ).

cnf(i_0_130,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1186) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_130) ).

cnf(i_0_111,negated_conjecture,
    ( c2_1(a1199)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_111) ).

cnf(i_0_3,negated_conjecture,
    ( hskp1
    | hskp16
    | hskp17 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-up4vj74m/input.p',i_0_3) ).

cnf(c_0_280,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    i_0_64 ).

cnf(c_0_281,negated_conjecture,
    ( hskp8
    | hskp28 ),
    i_0_5 ).

cnf(c_0_282,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    i_0_144 ).

fof(c_0_283,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_284,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_285,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]) ).

fof(c_0_286,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_287,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_288,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_289,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_28 ).

cnf(c_0_290,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_283]) ).

cnf(c_0_291,negated_conjecture,
    ( epred47_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_284]),c_0_285])]) ).

cnf(c_0_292,negated_conjecture,
    ( epred33_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_286]) ).

cnf(c_0_293,negated_conjecture,
    ( epred46_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_287]) ).

fof(c_0_294,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_295,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_296,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_288]) ).

cnf(c_0_297,negated_conjecture,
    ( c1_1(a1168)
    | ~ hskp0 ),
    i_0_174 ).

cnf(c_0_298,negated_conjecture,
    ( c0_1(a1168)
    | ~ hskp0 ),
    i_0_175 ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1168) ),
    i_0_173 ).

cnf(c_0_300,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_285])]) ).

cnf(c_0_301,negated_conjecture,
    ( epred47_0
    | epred31_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_302,negated_conjecture,
    ( hskp14
    | hskp22
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_11 ).

cnf(c_0_303,negated_conjecture,
    ( hskp14
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_16 ).

cnf(c_0_304,negated_conjecture,
    ( epred46_0
    | epred33_0
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_305,negated_conjecture,
    ( c3_1(a1172)
    | ~ hskp2 ),
    i_0_166 ).

cnf(c_0_306,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1172) ),
    i_0_165 ).

fof(c_0_307,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( hskp0
        | c0_1(X2)
        | c1_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_308,negated_conjecture,
    ( c1_1(a1169)
    | ~ hskp1 ),
    i_0_171 ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a1169) ),
    i_0_170 ).

cnf(c_0_310,negated_conjecture,
    ( epred24_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_294]) ).

cnf(c_0_311,negated_conjecture,
    ( epred43_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_295]) ).

cnf(c_0_312,negated_conjecture,
    ( c2_1(a1172)
    | ~ hskp2 ),
    i_0_167 ).

cnf(c_0_313,negated_conjecture,
    ( epred18_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]),c_0_299]) ).

cnf(c_0_314,negated_conjecture,
    ( epred47_0
    | epred31_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

fof(c_0_315,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( hskp26
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_316,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_317,negated_conjecture,
    ( c3_1(X1)
    | hskp22
    | hskp14
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[c_0_302,c_0_303]) ).

fof(c_0_318,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1232) ),
    i_0_77 ).

cnf(c_0_320,negated_conjecture,
    ( c3_1(a1232)
    | ~ hskp24 ),
    i_0_79 ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a1232) ),
    i_0_78 ).

fof(c_0_322,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_323,negated_conjecture,
    ( c1_1(a1192)
    | ~ hskp13 ),
    i_0_123 ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a1192) ),
    i_0_122 ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1192) ),
    i_0_121 ).

cnf(c_0_326,negated_conjecture,
    ( epred46_0
    | epred33_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]) ).

cnf(c_0_327,negated_conjecture,
    ( hskp2
    | hskp13
    | hskp17 ),
    i_0_4 ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1194) ),
    i_0_117 ).

cnf(c_0_329,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a1194) ),
    i_0_118 ).

cnf(c_0_330,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_307]),c_0_285])]) ).

cnf(c_0_331,negated_conjecture,
    ( epred18_0
    | ~ c0_1(a1169)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_308]),c_0_309]) ).

cnf(c_0_332,negated_conjecture,
    ( epred24_0
    | c0_1(a1169)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_308]),c_0_309]) ).

fof(c_0_333,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_334,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_335,negated_conjecture,
    ( epred43_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_305]),c_0_312]),c_0_306]) ).

cnf(c_0_336,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred18_0
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_337,negated_conjecture,
    ( epred10_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp26
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_315]),c_0_285])]) ).

cnf(c_0_338,negated_conjecture,
    ( c2_1(a1194)
    | ~ hskp14 ),
    i_0_119 ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1200) ),
    i_0_106 ).

cnf(c_0_340,negated_conjecture,
    ( epred48_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_316]) ).

cnf(c_0_341,negated_conjecture,
    ( c0_1(a1200)
    | ~ hskp17 ),
    i_0_107 ).

cnf(c_0_342,negated_conjecture,
    ( c3_1(X1)
    | hskp22
    | hskp14
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_285])]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1211) ),
    i_0_85 ).

cnf(c_0_344,negated_conjecture,
    ( c0_1(a1211)
    | ~ hskp22 ),
    i_0_87 ).

cnf(c_0_345,negated_conjecture,
    ( c3_1(a1211)
    | ~ hskp22 ),
    i_0_86 ).

cnf(c_0_346,negated_conjecture,
    ( epred2_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_318]) ).

cnf(c_0_347,negated_conjecture,
    ( c1_1(a1190)
    | ~ hskp26 ),
    i_0_70 ).

cnf(c_0_348,negated_conjecture,
    ( c0_1(a1190)
    | ~ hskp26 ),
    i_0_71 ).

cnf(c_0_349,negated_conjecture,
    ( c3_1(a1190)
    | ~ hskp26 ),
    i_0_69 ).

cnf(c_0_350,negated_conjecture,
    ( epred46_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_293]),c_0_320]),c_0_321]) ).

cnf(c_0_351,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp26 ),
    i_0_7 ).

fof(c_0_352,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_353,negated_conjecture,
    ( epred1_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_322]),c_0_285])]) ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1200) ),
    i_0_105 ).

cnf(c_0_355,negated_conjecture,
    ( epred24_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_323]),c_0_324]),c_0_325]) ).

cnf(c_0_356,negated_conjecture,
    ( epred46_0
    | epred33_0
    | hskp17
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

cnf(c_0_357,negated_conjecture,
    ( epred46_0
    | ~ c3_1(a1194)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_293]),c_0_329]) ).

cnf(c_0_358,negated_conjecture,
    ( epred3_0
    | c3_1(a1194)
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_330]),c_0_329]) ).

cnf(c_0_359,negated_conjecture,
    ( epred24_0
    | epred18_0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_360,negated_conjecture,
    ( hskp0
    | hskp1
    | hskp14 ),
    i_0_6 ).

cnf(c_0_361,negated_conjecture,
    ( epred4_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_333]) ).

cnf(c_0_362,negated_conjecture,
    ( epred6_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_334]) ).

fof(c_0_363,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp2
        | c0_1(X1)
        | c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_364,negated_conjecture,
    ( epred47_0
    | epred31_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_301]),c_0_325]) ).

cnf(c_0_365,negated_conjecture,
    ( epred43_0
    | hskp17
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_335,c_0_327]) ).

cnf(c_0_366,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred18_0
    | c2_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_336]),c_0_301]) ).

cnf(c_0_367,negated_conjecture,
    ( epred10_0
    | c3_1(a1194)
    | hskp26
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_328]) ).

cnf(c_0_368,negated_conjecture,
    ( epred48_0
    | ~ c3_1(a1200)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341]) ).

cnf(c_0_369,negated_conjecture,
    ( c3_1(a1200)
    | hskp22
    | hskp14
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_342,c_0_341]) ).

cnf(c_0_370,negated_conjecture,
    ( epred48_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_340]),c_0_344]),c_0_345]) ).

cnf(c_0_371,negated_conjecture,
    ( epred2_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]),c_0_349]) ).

cnf(c_0_372,negated_conjecture,
    ( epred46_0
    | hskp26
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_373,negated_conjecture,
    ( epred11_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_352]) ).

cnf(c_0_374,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X1) ),
    i_0_30 ).

cnf(c_0_375,negated_conjecture,
    ( epred1_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_353]),c_0_341]),c_0_354]) ).

cnf(c_0_376,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_377,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_56 ).

cnf(c_0_378,negated_conjecture,
    ( epred46_0
    | epred3_0
    | hskp0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_379,negated_conjecture,
    ( epred24_0
    | epred18_0
    | hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_313]) ).

cnf(c_0_380,negated_conjecture,
    ( epred4_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_361]),c_0_338]),c_0_329]) ).

fof(c_0_381,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_382,negated_conjecture,
    ( epred43_0
    | ~ c2_1(a1232)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_320]),c_0_321]) ).

cnf(c_0_383,negated_conjecture,
    ( epred6_0
    | c2_1(a1232)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_362]),c_0_320]) ).

cnf(c_0_384,negated_conjecture,
    ( epred7_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_363]),c_0_285])]) ).

cnf(c_0_385,negated_conjecture,
    ( epred47_0
    | epred43_0
    | epred31_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_364,c_0_365]) ).

cnf(c_0_386,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred18_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_354,c_0_366]) ).

cnf(c_0_387,negated_conjecture,
    ( epred46_0
    | epred10_0
    | hskp26
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_357,c_0_367]) ).

cnf(c_0_388,negated_conjecture,
    ( epred48_0
    | hskp14
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).

cnf(c_0_389,negated_conjecture,
    ( epred46_0
    | epred2_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_390,negated_conjecture,
    ( epred11_0
    | c3_1(a1200)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_373]),c_0_354]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ epred48_0
    | ~ epred18_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_374,c_0_322]),c_0_288]),c_0_316]) ).

cnf(c_0_392,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_377,c_0_307]),c_0_333]) ).

cnf(c_0_394,negated_conjecture,
    ( epred46_0
    | epred24_0
    | epred18_0
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_313]) ).

cnf(c_0_395,negated_conjecture,
    ( epred24_0
    | epred18_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_380,c_0_379]) ).

fof(c_0_396,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( c1_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_397,negated_conjecture,
    ( epred8_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_381]) ).

cnf(c_0_398,negated_conjecture,
    ( epred43_0
    | epred6_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

fof(c_0_399,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_400,negated_conjecture,
    ( epred7_0
    | c3_1(a1194)
    | hskp2
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_384]),c_0_329]) ).

cnf(c_0_401,negated_conjecture,
    ( epred47_0
    | epred43_0
    | epred31_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_385]) ).

cnf(c_0_402,negated_conjecture,
    ( epred47_0
    | epred43_0
    | epred31_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_386,c_0_385]) ).

cnf(c_0_403,negated_conjecture,
    ( hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_341]),c_0_339]),c_0_354]) ).

fof(c_0_404,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( hskp11
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_405,negated_conjecture,
    ( hskp11
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    i_0_19 ).

cnf(c_0_406,negated_conjecture,
    ( epred46_0
    | epred10_0
    | epred2_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_371,c_0_387]) ).

cnf(c_0_407,negated_conjecture,
    ( epred48_0
    | epred46_0
    | epred2_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_408,negated_conjecture,
    ( epred48_0
    | epred11_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_368,c_0_390]) ).

cnf(c_0_409,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0
    | ~ epred48_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_391,c_0_392]) ).

cnf(c_0_410,negated_conjecture,
    ( epred46_0
    | epred24_0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_395]) ).

fof(c_0_411,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1207) ),
    i_0_89 ).

cnf(c_0_413,negated_conjecture,
    ( epred36_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_396]) ).

cnf(c_0_414,negated_conjecture,
    ( c2_1(a1207)
    | ~ hskp21 ),
    i_0_91 ).

cnf(c_0_415,negated_conjecture,
    ( c3_1(a1207)
    | ~ hskp21 ),
    i_0_90 ).

cnf(c_0_416,negated_conjecture,
    ( epred6_0
    | ~ c3_1(a1200)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_362]),c_0_354]) ).

cnf(c_0_417,negated_conjecture,
    ( epred8_0
    | c3_1(a1200)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_397]),c_0_341]) ).

cnf(c_0_418,negated_conjecture,
    ( epred43_0
    | epred6_0
    | hskp26
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_398,c_0_351]) ).

fof(c_0_419,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( hskp10
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_420,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( hskp3
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_421,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( hskp3
        | c1_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_422,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( hskp8
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_423,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | ~ c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_424,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_425,negated_conjecture,
    ( hskp3
    | hskp6
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    i_0_48 ).

cnf(c_0_426,negated_conjecture,
    ( epred22_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_399]) ).

fof(c_0_427,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( hskp1
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_428,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( hskp25
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_429,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( hskp1
        | c0_1(X1)
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_430,negated_conjecture,
    ( epred46_0
    | epred7_0
    | hskp2
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_357,c_0_400]) ).

cnf(c_0_431,negated_conjecture,
    ( epred47_0
    | epred43_0
    | epred31_0
    | ~ epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_401]),c_0_402]) ).

fof(c_0_432,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( hskp6
        | c1_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_433,negated_conjecture,
    ( epred46_0
    | epred2_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_389]) ).

cnf(c_0_434,negated_conjecture,
    ( epred46_0
    | epred2_0
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_389]) ).

cnf(c_0_435,negated_conjecture,
    ( hskp26
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_35 ).

cnf(c_0_436,negated_conjecture,
    ( ~ epred37_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_405,c_0_404]),c_0_318]) ).

cnf(c_0_437,negated_conjecture,
    ( epred48_0
    | epred46_0
    | epred10_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_438,negated_conjecture,
    ( epred48_0
    | epred46_0
    | epred11_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_389]) ).

cnf(c_0_439,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0
    | ~ epred48_0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_410]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1204) ),
    i_0_98 ).

cnf(c_0_441,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_411]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1204) ),
    i_0_97 ).

cnf(c_0_443,negated_conjecture,
    ( c3_1(a1204)
    | ~ hskp19 ),
    i_0_99 ).

cnf(c_0_444,negated_conjecture,
    ( epred36_0
    | ~ c0_1(a1207)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_414]) ).

cnf(c_0_445,negated_conjecture,
    ( epred46_0
    | c0_1(a1207)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_293]),c_0_415]) ).

fof(c_0_446,plain,
    ( ~ epred42_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_447,negated_conjecture,
    ( epred8_0
    | epred6_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_448,negated_conjecture,
    ( epred43_0
    | epred6_0
    | epred2_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_371,c_0_418]) ).

fof(c_0_449,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_450,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_451,negated_conjecture,
    ( epred48_0
    | epred2_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_346,c_0_340]) ).

cnf(c_0_452,negated_conjecture,
    ( epred2_0
    | ~ c3_1(a1168)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_297]),c_0_298]) ).

cnf(c_0_453,negated_conjecture,
    ( c3_1(a1168)
    | hskp22
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_342,c_0_298]) ).

cnf(c_0_454,negated_conjecture,
    ( epred30_0
    | c3_1(X1)
    | hskp10
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_419]),c_0_285])]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a1169) ),
    i_0_169 ).

cnf(c_0_456,negated_conjecture,
    ( epred27_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp3
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_420]),c_0_285])]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1184) ),
    i_0_134 ).

cnf(c_0_458,negated_conjecture,
    ( epred28_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_421]),c_0_285])]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1184) ),
    i_0_133 ).

cnf(c_0_460,negated_conjecture,
    ( epred23_0
    | c3_1(X1)
    | hskp8
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_422]),c_0_285])]) ).

cnf(c_0_461,negated_conjecture,
    ( c2_1(a1178)
    | ~ hskp6 ),
    i_0_150 ).

cnf(c_0_462,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a1178) ),
    i_0_149 ).

cnf(c_0_463,negated_conjecture,
    ( c1_1(a1178)
    | ~ hskp6 ),
    i_0_151 ).

cnf(c_0_464,negated_conjecture,
    ( epred50_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_423]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1174) ),
    i_0_161 ).

cnf(c_0_466,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_424]) ).

cnf(c_0_467,negated_conjecture,
    ( c0_1(a1174)
    | ~ hskp3 ),
    i_0_163 ).

fof(c_0_468,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_469,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_285])]) ).

cnf(c_0_470,negated_conjecture,
    ( epred22_0
    | epred6_0
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_426,c_0_362]) ).

cnf(c_0_471,negated_conjecture,
    ( epred25_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp1
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_427]),c_0_285])]) ).

cnf(c_0_472,negated_conjecture,
    ( epred40_0
    | c3_1(X1)
    | hskp25
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_428]),c_0_285])]) ).

cnf(c_0_473,negated_conjecture,
    ( hskp0
    | hskp3
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0 ),
    i_0_53 ).

cnf(c_0_474,negated_conjecture,
    ( hskp17
    | hskp22
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_17 ).

cnf(c_0_475,negated_conjecture,
    ( hskp19
    | hskp23
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    i_0_14 ).

cnf(c_0_476,negated_conjecture,
    ( hskp13
    | hskp19
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    i_0_22 ).

cnf(c_0_477,negated_conjecture,
    ( hskp2
    | hskp22
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_9 ).

cnf(c_0_478,negated_conjecture,
    ( hskp10
    | hskp13
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    i_0_8 ).

fof(c_0_479,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_480,plain,
    ( ~ epred44_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_481,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( hskp17
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_482,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( hskp11
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_483,negated_conjecture,
    ( epred14_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_429]),c_0_285])]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a1184) ),
    i_0_135 ).

cnf(c_0_485,negated_conjecture,
    ( c1_1(a1174)
    | ~ hskp3 ),
    i_0_162 ).

cnf(c_0_486,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    i_0_54 ).

cnf(c_0_487,negated_conjecture,
    ( epred46_0
    | epred43_0
    | epred7_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_335,c_0_430]) ).

cnf(c_0_488,negated_conjecture,
    ( epred47_0
    | epred43_0
    | epred31_0
    | hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_385]),c_0_431]) ).

cnf(c_0_489,negated_conjecture,
    ( epred48_0
    | epred8_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_368,c_0_417]) ).

fof(c_0_490,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( hskp7
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_491,negated_conjecture,
    ( epred17_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_432]),c_0_285])]) ).

cnf(c_0_492,negated_conjecture,
    ( epred46_0
    | epred2_0
    | ~ epred48_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_391,c_0_433]) ).

cnf(c_0_493,negated_conjecture,
    ( epred46_0
    | epred18_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_434]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_435,c_0_315]),c_0_352]) ).

cnf(c_0_495,negated_conjecture,
    ( epred48_0
    | epred46_0
    | epred10_0
    | ~ epred37_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_437]) ).

cnf(c_0_496,negated_conjecture,
    ( epred48_0
    | epred46_0
    | epred11_0
    | ~ epred37_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_438]) ).

fof(c_0_497,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ c0_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_498,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred7_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_326,c_0_430]) ).

cnf(c_0_499,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0
    | hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_376]),c_0_439]) ).

cnf(c_0_500,negated_conjecture,
    ( epred20_0
    | ~ c0_1(a1204)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_442]) ).

cnf(c_0_501,negated_conjecture,
    ( epred46_0
    | c0_1(a1204)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_293]),c_0_443]) ).

cnf(c_0_502,negated_conjecture,
    ( epred46_0
    | epred36_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_503,negated_conjecture,
    ( hskp8
    | hskp19
    | hskp21 ),
    i_0_1 ).

cnf(c_0_504,negated_conjecture,
    ( epred42_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_446]) ).

cnf(c_0_505,negated_conjecture,
    ( hskp11
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    i_0_27 ).

cnf(c_0_506,negated_conjecture,
    ( epred43_0
    | epred8_0
    | epred6_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_507,negated_conjecture,
    ( epred36_0
    | ~ c2_1(a1211)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_413]),c_0_344]) ).

cnf(c_0_508,negated_conjecture,
    ( epred6_0
    | c2_1(a1211)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_362]),c_0_345]) ).

cnf(c_0_509,negated_conjecture,
    ( epred29_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_449]) ).

cnf(c_0_510,negated_conjecture,
    ( c3_1(a1236)
    | ~ hskp28 ),
    i_0_61 ).

cnf(c_0_511,negated_conjecture,
    ( c0_1(a1236)
    | ~ hskp28 ),
    i_0_63 ).

cnf(c_0_512,negated_conjecture,
    ( c2_1(a1236)
    | ~ hskp28 ),
    i_0_62 ).

cnf(c_0_513,negated_conjecture,
    ( epred26_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_450]) ).

cnf(c_0_514,negated_conjecture,
    ( epred48_0
    | epred2_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_345]),c_0_344]) ).

cnf(c_0_515,negated_conjecture,
    ( epred2_0
    | hskp22
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

fof(c_0_516,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp0
        | c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_517,negated_conjecture,
    ( epred30_0
    | hskp10
    | ~ c0_1(a1169)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_308]),c_0_455]) ).

cnf(c_0_518,negated_conjecture,
    ( epred27_0
    | c0_1(a1169)
    | hskp3
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_308]),c_0_455]) ).

cnf(c_0_519,negated_conjecture,
    ( epred28_0
    | c3_1(a1184)
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_458]),c_0_459]) ).

cnf(c_0_520,negated_conjecture,
    ( epred37_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp11
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_404]),c_0_285])]) ).

cnf(c_0_521,negated_conjecture,
    ( epred23_0
    | hskp8
    | ~ c0_1(a1178)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_462]) ).

cnf(c_0_522,negated_conjecture,
    ( epred27_0
    | c0_1(a1178)
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_463]),c_0_462]) ).

cnf(c_0_523,negated_conjecture,
    ( epred27_0
    | c3_1(a1192)
    | hskp3
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_323]),c_0_324]) ).

cnf(c_0_524,negated_conjecture,
    ( epred50_0
    | epred8_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_464,c_0_397]) ).

cnf(c_0_525,negated_conjecture,
    ( epred49_0
    | c2_1(a1174)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_467]) ).

cnf(c_0_526,negated_conjecture,
    ( epred41_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_468]),c_0_285])]) ).

cnf(c_0_527,negated_conjecture,
    ( epred33_0
    | ~ c3_1(a1192)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_323]),c_0_324]) ).

cnf(c_0_528,negated_conjecture,
    ( epred22_0
    | epred20_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_426,c_0_441]) ).

cnf(c_0_529,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a1192)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_323]),c_0_325]) ).

cnf(c_0_530,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_290,c_0_469]) ).

cnf(c_0_531,negated_conjecture,
    ( epred47_0
    | epred22_0
    | epred6_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_470,c_0_291]) ).

cnf(c_0_532,negated_conjecture,
    ( epred47_0
    | epred25_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_471,c_0_291]) ).

cnf(c_0_533,negated_conjecture,
    ( epred40_0
    | epred8_0
    | c3_1(X1)
    | hskp25
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_397]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1218) ),
    i_0_82 ).

cnf(c_0_535,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp3
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_473,c_0_285])]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1180) ),
    i_0_141 ).

cnf(c_0_537,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp22
    | hskp17
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_285])]) ).

cnf(c_0_538,negated_conjecture,
    ( c0_1(a1186)
    | ~ hskp11 ),
    i_0_131 ).

cnf(c_0_539,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp23
    | hskp19
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_285])]) ).

cnf(c_0_540,negated_conjecture,
    ( c1_1(a1180)
    | ~ hskp8 ),
    i_0_143 ).

cnf(c_0_541,negated_conjecture,
    ( c1_1(X1)
    | hskp19
    | hskp13
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_285])]) ).

cnf(c_0_542,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_477,c_0_285])]) ).

cnf(c_0_543,negated_conjecture,
    ( c3_1(a1182)
    | ~ hskp25 ),
    i_0_73 ).

cnf(c_0_544,negated_conjecture,
    ( hskp13
    | hskp10
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_478,c_0_285])]) ).

cnf(c_0_545,negated_conjecture,
    ( epred52_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_479]),c_0_285])]) ).

cnf(c_0_546,negated_conjecture,
    ( epred44_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_480]),c_0_285])]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1199) ),
    i_0_109 ).

cnf(c_0_548,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a1218) ),
    i_0_81 ).

cnf(c_0_549,negated_conjecture,
    ( epred35_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp17
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_481]),c_0_285])]) ).

cnf(c_0_550,negated_conjecture,
    ( epred34_0
    | c3_1(X1)
    | hskp11
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_482]),c_0_285])]) ).

cnf(c_0_551,negated_conjecture,
    ( epred14_0
    | hskp1
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_483]),c_0_484]),c_0_459]) ).

cnf(c_0_552,negated_conjecture,
    ( epred30_0
    | hskp10
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_485]),c_0_467]),c_0_465]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1179) ),
    i_0_147 ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1179) ),
    i_0_146 ).

cnf(c_0_555,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1179) ),
    i_0_145 ).

cnf(c_0_556,negated_conjecture,
    ( epred46_0
    | ~ c3_1(a1184)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_293]),c_0_484]) ).

cnf(c_0_557,negated_conjecture,
    ( epred6_0
    | ~ c3_1(a1184)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_362]),c_0_459]) ).

cnf(c_0_558,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1180) ),
    i_0_142 ).

cnf(c_0_559,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_486,c_0_363]),c_0_381]) ).

cnf(c_0_560,negated_conjecture,
    ( epred47_0
    | epred46_0
    | epred43_0
    | epred31_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_488]) ).

cnf(c_0_561,negated_conjecture,
    ( epred47_0
    | epred43_0
    | epred31_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_385]),c_0_431]) ).

cnf(c_0_562,negated_conjecture,
    ( epred19_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp7
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_490]),c_0_285])]) ).

cnf(c_0_563,negated_conjecture,
    ( epred17_0
    | c3_1(a1200)
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_491]),c_0_354]) ).

cnf(c_0_564,negated_conjecture,
    ( epred1_0
    | ~ c0_1(a1204)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_353]),c_0_442]) ).

cnf(c_0_565,negated_conjecture,
    ( epred14_0
    | c0_1(a1204)
    | hskp1
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_483]),c_0_442]) ).

cnf(c_0_566,negated_conjecture,
    ( epred46_0
    | ~ epred48_0
    | ~ epred37_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_492]) ).

cnf(c_0_567,negated_conjecture,
    ( epred46_0
    | epred18_0
    | ~ epred37_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_493]) ).

cnf(c_0_568,negated_conjecture,
    ( epred48_0
    | epred46_0
    | ~ epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_496]) ).

cnf(c_0_569,negated_conjecture,
    ( c2_1(a1211)
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_344]),c_0_343]) ).

cnf(c_0_570,negated_conjecture,
    ( epred51_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_497]) ).

cnf(c_0_571,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_572,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_376]),c_0_439]) ).

cnf(c_0_573,negated_conjecture,
    ( hskp22
    | hskp14
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_467]),c_0_465]) ).

cnf(c_0_574,negated_conjecture,
    ( epred48_0
    | ~ c0_1(a1207)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_340]),c_0_415]) ).

cnf(c_0_575,negated_conjecture,
    ( epred46_0
    | epred20_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_500,c_0_501]) ).

cnf(c_0_576,negated_conjecture,
    ( epred46_0
    | epred36_0
    | hskp19
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_577,negated_conjecture,
    ( epred42_0
    | c3_1(a1194)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_504]),c_0_329]) ).

cnf(c_0_578,negated_conjecture,
    ( c2_1(a1182)
    | ~ hskp25 ),
    i_0_74 ).

cnf(c_0_579,negated_conjecture,
    ( ~ epred34_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_505,c_0_482]),c_0_334]) ).

cnf(c_0_580,negated_conjecture,
    ( epred43_0
    | epred8_0
    | epred6_0
    | ~ epred37_0 ),
    inference(spm,[status(thm)],[c_0_436,c_0_506]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1218) ),
    i_0_83 ).

cnf(c_0_582,negated_conjecture,
    ( epred36_0
    | epred6_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_507,c_0_508]) ).

cnf(c_0_583,negated_conjecture,
    ( epred1_0
    | c2_1(a1211)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_353]),c_0_344]) ).

cnf(c_0_584,negated_conjecture,
    ( epred29_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]),c_0_512]) ).

cnf(c_0_585,negated_conjecture,
    ( epred26_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_513]),c_0_414]),c_0_415]) ).

cnf(c_0_586,negated_conjecture,
    ( epred22_0
    | ~ c3_1(a1168)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_297]),c_0_299]) ).

cnf(c_0_587,negated_conjecture,
    ( epred48_0
    | epred2_0
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_588,negated_conjecture,
    ( epred5_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_516]),c_0_285])]) ).

fof(c_0_589,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_590,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X1) ),
    i_0_23 ).

cnf(c_0_591,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X1) ),
    i_0_37 ).

cnf(c_0_592,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X1) ),
    i_0_41 ).

cnf(c_0_593,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X2) ),
    i_0_49 ).

cnf(c_0_594,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    i_0_52 ).

cnf(c_0_595,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | c3_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    i_0_55 ).

cnf(c_0_596,negated_conjecture,
    ( hskp25
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    i_0_13 ).

cnf(c_0_597,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_25 ).

cnf(c_0_598,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    i_0_43 ).

cnf(c_0_599,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    i_0_32 ).

cnf(c_0_600,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    i_0_42 ).

cnf(c_0_601,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    i_0_44 ).

cnf(c_0_602,negated_conjecture,
    ( hskp8
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    i_0_46 ).

cnf(c_0_603,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    i_0_47 ).

cnf(c_0_604,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    i_0_34 ).

cnf(c_0_605,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    i_0_58 ).

cnf(c_0_606,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    i_0_59 ).

cnf(c_0_607,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    i_0_29 ).

cnf(c_0_608,negated_conjecture,
    ( epred30_0
    | hskp10
    | epred27_0
    | hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_517,c_0_518]) ).

cnf(c_0_609,negated_conjecture,
    ( epred25_0
    | c2_1(a1184)
    | c0_1(a1184)
    | hskp1
    | epred28_0
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_471,c_0_519]) ).

cnf(c_0_610,negated_conjecture,
    ( epred37_0
    | c3_1(a1169)
    | c2_1(a1169)
    | hskp11
    | epred27_0
    | hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_520,c_0_518]) ).

cnf(c_0_611,negated_conjecture,
    ( epred23_0
    | hskp8
    | epred27_0
    | hskp3
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_612,negated_conjecture,
    ( epred25_0
    | c2_1(a1192)
    | c0_1(a1192)
    | hskp1
    | epred27_0
    | hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_471,c_0_523]) ).

cnf(c_0_613,negated_conjecture,
    ( epred50_0
    | epred8_0
    | ~ hskp3
    | ~ c2_1(a1174)
    | ~ c0_1(a1174) ),
    inference(spm,[status(thm)],[c_0_465,c_0_524]) ).

cnf(c_0_614,negated_conjecture,
    ( epred23_0
    | c3_1(a1174)
    | hskp8
    | epred49_0
    | ~ c0_1(a1174)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_460,c_0_525]) ).

cnf(c_0_615,negated_conjecture,
    ( epred46_0
    | epred41_0
    | c0_1(a1194)
    | ~ hskp14
    | ~ c2_1(a1194) ),
    inference(spm,[status(thm)],[c_0_357,c_0_526]) ).

cnf(c_0_616,negated_conjecture,
    ( epred33_0
    | epred47_0
    | c2_1(a1192)
    | c0_1(a1192)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_527,c_0_291]) ).

cnf(c_0_617,negated_conjecture,
    ( epred43_0
    | c0_1(a1194)
    | epred7_0
    | hskp2
    | ~ c2_1(a1194)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_311,c_0_400]) ).

cnf(c_0_618,negated_conjecture,
    ( epred22_0
    | epred20_0
    | c2_1(a1168)
    | hskp22
    | hskp14
    | ~ c0_1(a1168)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_528,c_0_453]) ).

cnf(c_0_619,negated_conjecture,
    ( epred22_0
    | c2_1(a1192)
    | c0_1(a1192)
    | hskp6
    | hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_529,c_0_469]) ).

cnf(c_0_620,negated_conjecture,
    ( epred31_0
    | c2_1(a1192)
    | hskp6
    | hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_324,c_0_530]) ).

cnf(c_0_621,negated_conjecture,
    ( epred48_0
    | epred2_0
    | epred11_0
    | ~ c0_1(a1200)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_451,c_0_390]) ).

cnf(c_0_622,negated_conjecture,
    ( epred47_0
    | epred22_0
    | epred6_0
    | c2_1(a1192)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_324,c_0_531]) ).

cnf(c_0_623,negated_conjecture,
    ( epred47_0
    | epred25_0
    | c2_1(a1192)
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_324,c_0_532]) ).

cnf(c_0_624,negated_conjecture,
    ( epred40_0
    | epred8_0
    | c3_1(a1174)
    | hskp25
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_533,c_0_467]) ).

cnf(c_0_625,negated_conjecture,
    ( c3_1(a1218)
    | c0_1(a1218)
    | hskp3
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_626,negated_conjecture,
    ( c2_1(a1169)
    | c0_1(a1169)
    | hskp6
    | hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_455,c_0_469]) ).

cnf(c_0_627,negated_conjecture,
    ( c2_1(a1180)
    | c0_1(a1180)
    | hskp6
    | hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_536,c_0_469]) ).

cnf(c_0_628,negated_conjecture,
    ( c3_1(a1174)
    | c2_1(a1174)
    | hskp22
    | hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_537,c_0_467]) ).

cnf(c_0_629,negated_conjecture,
    ( c3_1(a1186)
    | c2_1(a1186)
    | hskp22
    | hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_537,c_0_538]) ).

cnf(c_0_630,negated_conjecture,
    ( c3_1(a1169)
    | c2_1(a1169)
    | hskp23
    | hskp19
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_539,c_0_308]) ).

cnf(c_0_631,negated_conjecture,
    ( c3_1(a1180)
    | c2_1(a1180)
    | hskp23
    | hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_539,c_0_540]) ).

cnf(c_0_632,negated_conjecture,
    ( c1_1(a1211)
    | hskp19
    | hskp13
    | ~ c0_1(a1211)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_541,c_0_345]) ).

cnf(c_0_633,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ c2_1(a1182)
    | ~ c0_1(a1182)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_634,negated_conjecture,
    ( hskp13
    | hskp10
    | ~ c2_1(a1236)
    | ~ c0_1(a1236)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_544,c_0_510]) ).

cnf(c_0_635,negated_conjecture,
    ( epred52_0
    | c3_1(a1169)
    | c2_1(a1169)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_545,c_0_308]) ).

cnf(c_0_636,negated_conjecture,
    ( epred44_0
    | c3_1(a1174)
    | ~ c2_1(a1174)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_546,c_0_485]) ).

cnf(c_0_637,negated_conjecture,
    ( epred44_0
    | c3_1(a1178)
    | ~ c2_1(a1178)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_546,c_0_463]) ).

cnf(c_0_638,negated_conjecture,
    ( epred44_0
    | c3_1(a1180)
    | ~ c2_1(a1180)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_546,c_0_540]) ).

cnf(c_0_639,negated_conjecture,
    ( epred41_0
    | c0_1(a1199)
    | ~ hskp16
    | ~ c2_1(a1199) ),
    inference(spm,[status(thm)],[c_0_547,c_0_526]) ).

cnf(c_0_640,negated_conjecture,
    ( epred41_0
    | c0_1(a1218)
    | ~ hskp23
    | ~ c2_1(a1218) ),
    inference(spm,[status(thm)],[c_0_548,c_0_526]) ).

cnf(c_0_641,negated_conjecture,
    ( epred37_0
    | c3_1(a1174)
    | c2_1(a1174)
    | hskp11
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_520,c_0_467]) ).

cnf(c_0_642,negated_conjecture,
    ( epred35_0
    | c3_1(a1174)
    | c2_1(a1174)
    | hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_549,c_0_467]) ).

cnf(c_0_643,negated_conjecture,
    ( epred35_0
    | c3_1(a1186)
    | c2_1(a1186)
    | hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_549,c_0_538]) ).

cnf(c_0_644,negated_conjecture,
    ( epred34_0
    | c3_1(X1)
    | hskp11
    | epred28_0
    | c2_1(X1)
    | hskp3
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_550,c_0_458]) ).

cnf(c_0_645,negated_conjecture,
    ( epred34_0
    | c3_1(a1168)
    | hskp11
    | ~ c0_1(a1168)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_550,c_0_297]) ).

cnf(c_0_646,negated_conjecture,
    ( epred34_0
    | c3_1(a1174)
    | hskp11
    | ~ c0_1(a1174)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_550,c_0_485]) ).

cnf(c_0_647,negated_conjecture,
    ( epred34_0
    | c3_1(a1169)
    | hskp11
    | ~ c0_1(a1169)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_550,c_0_308]) ).

cnf(c_0_648,negated_conjecture,
    ( epred30_0
    | epred14_0
    | hskp1
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_551,c_0_552]) ).

cnf(c_0_649,negated_conjecture,
    ( epred28_0
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_458]),c_0_554]),c_0_555]) ).

cnf(c_0_650,negated_conjecture,
    ( epred46_0
    | epred28_0
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_556,c_0_519]) ).

cnf(c_0_651,negated_conjecture,
    ( epred28_0
    | epred6_0
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_557,c_0_519]) ).

cnf(c_0_652,negated_conjecture,
    ( epred27_0
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_540]),c_0_558]),c_0_536]) ).

cnf(c_0_653,negated_conjecture,
    ( epred47_0
    | epred46_0
    | epred43_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_561]) ).

cnf(c_0_654,negated_conjecture,
    ( epred19_0
    | hskp7
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_323]),c_0_324]),c_0_325]) ).

cnf(c_0_655,negated_conjecture,
    ( epred48_0
    | epred17_0
    | hskp6
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_368,c_0_563]) ).

cnf(c_0_656,negated_conjecture,
    ( epred17_0
    | c2_1(a1218)
    | hskp6
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_491]),c_0_548]) ).

cnf(c_0_657,negated_conjecture,
    ( epred14_0
    | epred1_0
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_564,c_0_565]) ).

cnf(c_0_658,negated_conjecture,
    ( epred46_0
    | ~ epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_567]),c_0_568]) ).

cnf(c_0_659,negated_conjecture,
    ( epred36_0
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_507,c_0_569]) ).

cnf(c_0_660,negated_conjecture,
    ( epred51_0
    | ~ c2_1(a1174)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_570]),c_0_467]) ).

cnf(c_0_661,negated_conjecture,
    ( epred46_0
    | epred33_0
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_571]),c_0_572]) ).

cnf(c_0_662,negated_conjecture,
    ( epred50_0
    | ~ c2_1(a1174)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_485]),c_0_467]) ).

cnf(c_0_663,negated_conjecture,
    ( epred48_0
    | hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_370,c_0_573]) ).

cnf(c_0_664,negated_conjecture,
    ( epred48_0
    | epred46_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_574,c_0_445]) ).

cnf(c_0_665,negated_conjecture,
    ( epred46_0
    | epred36_0
    | epred20_0
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_575,c_0_576]) ).

cnf(c_0_666,negated_conjecture,
    ( epred46_0
    | epred42_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_357,c_0_577]) ).

cnf(c_0_667,negated_conjecture,
    ( epred43_0
    | c0_1(a1182)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_543]),c_0_578]) ).

cnf(c_0_668,negated_conjecture,
    ( epred43_0
    | epred8_0
    | ~ epred37_0
    | ~ epred34_0 ),
    inference(spm,[status(thm)],[c_0_579,c_0_580]) ).

cnf(c_0_669,negated_conjecture,
    ( epred42_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_504]),c_0_581]),c_0_548]) ).

cnf(c_0_670,negated_conjecture,
    ( epred36_0
    | epred6_0
    | hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_582,c_0_573]) ).

cnf(c_0_671,negated_conjecture,
    ( epred36_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_507,c_0_583]) ).

cnf(c_0_672,negated_conjecture,
    ( epred29_0
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_584,c_0_281]) ).

cnf(c_0_673,negated_conjecture,
    ( epred26_0
    | hskp19
    | hskp8 ),
    inference(spm,[status(thm)],[c_0_585,c_0_503]) ).

cnf(c_0_674,negated_conjecture,
    ( epred22_0
    | epred1_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_426,c_0_353]) ).

cnf(c_0_675,negated_conjecture,
    ( epred22_0
    | hskp22
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_586,c_0_453]) ).

cnf(c_0_676,negated_conjecture,
    ( epred6_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_362]),c_0_443]),c_0_442]) ).

cnf(c_0_677,negated_conjecture,
    ( epred48_0
    | epred4_0
    | epred2_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_380,c_0_587]) ).

cnf(c_0_678,negated_conjecture,
    ( epred3_0
    | hskp0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_330]),c_0_581]),c_0_548]) ).

cnf(c_0_679,negated_conjecture,
    ( epred5_0
    | hskp0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_588]),c_0_442]) ).

cnf(c_0_680,negated_conjecture,
    ( epred15_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_589]) ).

cnf(c_0_681,negated_conjecture,
    ( ~ epred52_0
    | ~ epred50_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_590,c_0_479]),c_0_316]),c_0_423]) ).

cnf(c_0_682,negated_conjecture,
    ( ~ epred51_0
    | ~ epred44_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_591,c_0_480]),c_0_497]),c_0_286]) ).

cnf(c_0_683,negated_conjecture,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_592,c_0_468]),c_0_424]),c_0_423]) ).

cnf(c_0_684,negated_conjecture,
    ( ~ epred48_0
    | ~ epred47_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_593,c_0_284]),c_0_316]),c_0_396]) ).

cnf(c_0_685,negated_conjecture,
    ( ~ epred46_0
    | ~ epred44_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_594,c_0_480]),c_0_287]),c_0_333]) ).

cnf(c_0_686,negated_conjecture,
    ( ~ epred43_0
    | ~ epred42_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_595,c_0_468]),c_0_446]),c_0_295]) ).

cnf(c_0_687,negated_conjecture,
    ( ~ epred40_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_596,c_0_428]),c_0_288]) ).

cnf(c_0_688,negated_conjecture,
    ( ~ epred36_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_597,c_0_481]),c_0_396]) ).

cnf(c_0_689,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_598,c_0_419]),c_0_283]) ).

cnf(c_0_690,negated_conjecture,
    ( ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_599,c_0_421]),c_0_449]) ).

cnf(c_0_691,negated_conjecture,
    ( ~ epred27_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_600,c_0_420]),c_0_399]) ).

cnf(c_0_692,negated_conjecture,
    ( ~ epred26_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_601,c_0_427]),c_0_450]) ).

cnf(c_0_693,negated_conjecture,
    ( ~ epred24_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_602,c_0_422]),c_0_294]) ).

cnf(c_0_694,negated_conjecture,
    ( ~ epred20_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_603,c_0_490]),c_0_411]) ).

cnf(c_0_695,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_604,c_0_432]),c_0_288]) ).

cnf(c_0_696,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_605,c_0_429]),c_0_589]) ).

cnf(c_0_697,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_606,c_0_289]),c_0_516]),c_0_334]) ).

cnf(c_0_698,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_607,c_0_322]),c_0_318]) ).

cnf(c_0_699,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1199) ),
    i_0_110 ).

cnf(c_0_700,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1186) ),
    i_0_129 ).

cnf(c_0_701,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1186) ),
    i_0_130 ).

cnf(c_0_702,negated_conjecture,
    ( c2_1(a1199)
    | ~ hskp16 ),
    i_0_111 ).

cnf(c_0_703,negated_conjecture,
    ( hskp1
    | hskp16
    | hskp17 ),
    i_0_3 ).

cnf(c_0_704,plain,
    $false,
    inference(cdclpropres,[status(thm)],[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_625,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_635,c_0_636,c_0_637,c_0_638,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_651,c_0_518,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_657,c_0_551,c_0_658,c_0_403,c_0_659,c_0_660,c_0_661,c_0_437,c_0_662,c_0_663,c_0_370,c_0_664,c_0_665,c_0_378,c_0_666,c_0_357,c_0_389,c_0_667,c_0_668,c_0_335,c_0_448,c_0_669,c_0_670,c_0_582,c_0_671,c_0_672,c_0_673,c_0_400,c_0_355,c_0_674,c_0_675,c_0_586,c_0_313,c_0_676,c_0_677,c_0_380,c_0_678,c_0_375,c_0_520,c_0_550,c_0_679,c_0_573,c_0_426,c_0_680,c_0_681,c_0_682,c_0_391,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_436,c_0_688,c_0_579,c_0_689,c_0_346,c_0_690,c_0_691,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_494,c_0_559,c_0_697,c_0_393,c_0_698,c_0_548,c_0_581,c_0_343,c_0_699,c_0_329,c_0_325,c_0_324,c_0_700,c_0_701,c_0_459,c_0_484,c_0_462,c_0_465,c_0_455,c_0_309,c_0_299,c_0_536,c_0_558,c_0_702,c_0_338,c_0_578,c_0_461,c_0_512,c_0_297,c_0_511,c_0_344,c_0_341,c_0_467,c_0_298,c_0_703,c_0_360,c_0_503,c_0_281]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN461+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 : Tue Jul 12 06:49:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 18.16/3.61  # ENIGMATIC: Solved by autoschedule:
% 18.16/3.61  # No SInE strategy applied
% 18.16/3.61  # Trying AutoSched0 for 150 seconds
% 18.16/3.61  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 18.16/3.61  # and selection function SelectMaxLComplexAvoidPosPred.
% 18.16/3.61  #
% 18.16/3.61  # Preprocessing time       : 0.026 s
% 18.16/3.61  # SatCheck found unsatisfiable ground set
% 18.16/3.61  
% 18.16/3.61  # Proof found!
% 18.16/3.61  # SZS status Theorem
% 18.16/3.61  # SZS output start CNFRefutation
% See solution above
% 18.16/3.61  # Training examples: 0 positive, 0 negative
% 18.16/3.61  
% 18.16/3.61  # -------------------------------------------------
% 18.16/3.61  # User time                : 1.061 s
% 18.16/3.61  # System time              : 0.027 s
% 18.16/3.61  # Total time               : 1.088 s
% 18.16/3.61  # Maximum resident set size: 7120 pages
% 18.16/3.61  
%------------------------------------------------------------------------------