TSTP Solution File: SYN448+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN448+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 04:53:25 EDT 2022

% Result   : Theorem 16.05s 3.43s
% Output   : CNFRefutation 16.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  135
% Syntax   : Number of formulae    :  474 (   2 unt;   0 def)
%            Number of atoms       : 1817 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 2119 ( 776   ~;1309   |;   0   &)
%                                         (  34 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   62 (  61 usr;  58 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  22 con; 0-0 aty)
%            Number of variables   :  194 (   0 sgn  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_156,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_156) ).

cnf(i_0_3,negated_conjecture,
    ( hskp5
    | hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_3) ).

cnf(i_0_132,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_132) ).

cnf(i_0_21,negated_conjecture,
    ( hskp19
    | hskp20
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_21) ).

cnf(i_0_81,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a533) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_81) ).

cnf(i_0_83,negated_conjecture,
    ( c0_1(a533)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_83) ).

cnf(i_0_98,negated_conjecture,
    ( c3_1(a502)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_98) ).

cnf(i_0_99,negated_conjecture,
    ( c2_1(a502)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_99) ).

cnf(i_0_97,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a502) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_97) ).

cnf(i_0_151,negated_conjecture,
    ( c2_1(a471)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_151) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a471) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_149) ).

cnf(i_0_150,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a471) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_150) ).

cnf(i_0_94,negated_conjecture,
    ( c3_1(a503)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_94) ).

cnf(i_0_95,negated_conjecture,
    ( c2_1(a503)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_95) ).

cnf(i_0_82,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a533) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_82) ).

cnf(i_0_5,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_5) ).

cnf(i_0_138,negated_conjecture,
    ( c2_1(a476)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_138) ).

cnf(i_0_139,negated_conjecture,
    ( c0_1(a476)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_139) ).

cnf(i_0_47,negated_conjecture,
    ( hskp2
    | hskp6
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_47) ).

cnf(i_0_17,negated_conjecture,
    ( hskp3
    | hskp12
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_17) ).

cnf(i_0_1,negated_conjecture,
    ( hskp6
    | hskp12
    | hskp20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_1) ).

cnf(i_0_24,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_24) ).

cnf(i_0_93,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a503) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_93) ).

cnf(i_0_73,negated_conjecture,
    ( c3_1(a461)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_73) ).

cnf(i_0_75,negated_conjecture,
    ( c0_1(a461)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_75) ).

cnf(i_0_154,negated_conjecture,
    ( c3_1(a468)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_154) ).

cnf(i_0_155,negated_conjecture,
    ( c0_1(a468)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_155) ).

cnf(i_0_39,negated_conjecture,
    ( hskp0
    | hskp12
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_39) ).

cnf(i_0_153,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a468) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_153) ).

cnf(i_0_20,negated_conjecture,
    ( hskp12
    | hskp14
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_20) ).

cnf(i_0_126,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a480) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_126) ).

cnf(i_0_127,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a480) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_127) ).

cnf(i_0_125,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a480) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_125) ).

cnf(i_0_74,negated_conjecture,
    ( c2_1(a461)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_74) ).

cnf(i_0_133,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a477) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_133) ).

cnf(i_0_134,negated_conjecture,
    ( c2_1(a477)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_134) ).

cnf(i_0_135,negated_conjecture,
    ( c1_1(a477)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_135) ).

cnf(i_0_162,negated_conjecture,
    ( c3_1(a466)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_162) ).

cnf(i_0_163,negated_conjecture,
    ( c1_1(a466)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_163) ).

cnf(i_0_161,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a466) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_161) ).

cnf(i_0_175,negated_conjecture,
    ( c0_1(a460)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_175) ).

cnf(i_0_174,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a460) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_174) ).

cnf(i_0_173,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a460) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_173) ).

cnf(i_0_131,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_131) ).

cnf(i_0_130,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a478) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_130) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a478) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_129) ).

cnf(i_0_117,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a488) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_117) ).

cnf(i_0_119,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a488) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_119) ).

cnf(i_0_118,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a488) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_118) ).

cnf(i_0_30,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_30) ).

cnf(i_0_147,negated_conjecture,
    ( c3_1(a474)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_147) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a474) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_145) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a474) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_146) ).

cnf(i_0_65,negated_conjecture,
    ( c3_1(a473)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_65) ).

cnf(i_0_67,negated_conjecture,
    ( c0_1(a473)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_67) ).

cnf(i_0_66,negated_conjecture,
    ( c1_1(a473)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_66) ).

cnf(i_0_137,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a476) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_137) ).

cnf(i_0_166,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a465) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_166) ).

cnf(i_0_167,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a465) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_167) ).

cnf(i_0_6,negated_conjecture,
    ( hskp5
    | hskp14
    | hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_6) ).

cnf(i_0_11,negated_conjecture,
    ( hskp2
    | hskp15
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_11) ).

cnf(i_0_165,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a465) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_165) ).

cnf(i_0_105,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a494) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_105) ).

cnf(i_0_106,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a494) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_106) ).

cnf(i_0_27,negated_conjecture,
    ( hskp3
    | hskp15
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_27) ).

cnf(i_0_56,negated_conjecture,
    ( hskp0
    | hskp1
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_56) ).

cnf(i_0_32,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_32) ).

cnf(i_0_90,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_90) ).

cnf(i_0_91,negated_conjecture,
    ( c0_1(a512)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_91) ).

cnf(i_0_89,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a512) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_89) ).

cnf(i_0_58,negated_conjecture,
    ( hskp25
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_58) ).

cnf(i_0_62,negated_conjecture,
    ( c1_1(a490)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_62) ).

cnf(i_0_63,negated_conjecture,
    ( c0_1(a490)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_63) ).

cnf(i_0_61,negated_conjecture,
    ( c2_1(a490)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_61) ).

cnf(i_0_69,negated_conjecture,
    ( c3_1(a470)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_69) ).

cnf(i_0_71,negated_conjecture,
    ( c1_1(a470)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_71) ).

cnf(i_0_114,negated_conjecture,
    ( c3_1(a492)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_114) ).

cnf(i_0_115,negated_conjecture,
    ( c1_1(a492)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_115) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a492) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_113) ).

cnf(i_0_4,negated_conjecture,
    ( hskp6
    | hskp10
    | hskp21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_4) ).

cnf(i_0_171,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_171) ).

cnf(i_0_170,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a463) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_170) ).

cnf(i_0_169,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_169) ).

cnf(i_0_31,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_31) ).

cnf(i_0_44,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_44) ).

cnf(i_0_57,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X3)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_57) ).

cnf(i_0_59,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c3_1(X3)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_59) ).

cnf(i_0_18,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_18) ).

cnf(i_0_48,negated_conjecture,
    ( hskp26
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_48) ).

cnf(i_0_41,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_41) ).

cnf(i_0_19,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_19) ).

cnf(i_0_15,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_15) ).

cnf(i_0_40,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_40) ).

cnf(i_0_14,negated_conjecture,
    ( hskp21
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_14) ).

cnf(i_0_42,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_42) ).

cnf(i_0_28,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_28) ).

cnf(i_0_45,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_45) ).

cnf(i_0_60,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_60) ).

cnf(i_0_46,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c1_1(X2)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_46) ).

cnf(i_0_55,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_55) ).

cnf(i_0_107,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a494) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ozl610n7/input.p',i_0_107) ).

cnf(c_0_277,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    i_0_156 ).

cnf(c_0_278,negated_conjecture,
    ( hskp5
    | hskp11 ),
    i_0_3 ).

cnf(c_0_279,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    i_0_132 ).

fof(c_0_280,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_281,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_282,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( hskp19
    | hskp20
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_21 ).

cnf(c_0_284,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]) ).

fof(c_0_285,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a533) ),
    i_0_81 ).

cnf(c_0_287,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_280]) ).

cnf(c_0_288,negated_conjecture,
    ( c0_1(a533)
    | ~ hskp23 ),
    i_0_83 ).

cnf(c_0_289,negated_conjecture,
    ( epred7_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_281]) ).

cnf(c_0_290,negated_conjecture,
    ( epred25_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_282]) ).

cnf(c_0_291,negated_conjecture,
    ( c3_1(a502)
    | ~ hskp19 ),
    i_0_98 ).

cnf(c_0_292,negated_conjecture,
    ( c2_1(a502)
    | ~ hskp19 ),
    i_0_99 ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a502) ),
    i_0_97 ).

cnf(c_0_294,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp20
    | hskp19
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_284])]) ).

cnf(c_0_295,negated_conjecture,
    ( c2_1(a471)
    | ~ hskp6 ),
    i_0_151 ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a471) ),
    i_0_149 ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a471) ),
    i_0_150 ).

fof(c_0_298,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( hskp12
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_299,negated_conjecture,
    ( epred31_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_285]) ).

cnf(c_0_300,negated_conjecture,
    ( c3_1(a503)
    | ~ hskp20 ),
    i_0_94 ).

cnf(c_0_301,negated_conjecture,
    ( c2_1(a503)
    | ~ hskp20 ),
    i_0_95 ).

cnf(c_0_302,negated_conjecture,
    ( epred49_0
    | ~ c2_1(a533)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).

cnf(c_0_303,negated_conjecture,
    ( epred7_0
    | c2_1(a533)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_289]),c_0_288]) ).

cnf(c_0_304,negated_conjecture,
    ( epred25_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]),c_0_293]) ).

cnf(c_0_305,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_297]) ).

cnf(c_0_306,negated_conjecture,
    ( epred16_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp12
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_298]),c_0_284])]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a533) ),
    i_0_82 ).

cnf(c_0_308,negated_conjecture,
    ( epred31_0
    | ~ c0_1(a503)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).

cnf(c_0_309,negated_conjecture,
    ( epred25_0
    | c0_1(a503)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_300]),c_0_301]) ).

cnf(c_0_310,negated_conjecture,
    ( epred49_0
    | epred7_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_302,c_0_303]) ).

cnf(c_0_311,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp23 ),
    i_0_5 ).

cnf(c_0_312,negated_conjecture,
    ( epred49_0
    | epred31_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_299,c_0_287]) ).

cnf(c_0_313,negated_conjecture,
    ( c2_1(a476)
    | ~ hskp9 ),
    i_0_138 ).

cnf(c_0_314,negated_conjecture,
    ( c0_1(a476)
    | ~ hskp9 ),
    i_0_139 ).

fof(c_0_315,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_316,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( hskp27
        | c2_1(X2)
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_317,negated_conjecture,
    ( hskp2
    | hskp6
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_47 ).

fof(c_0_318,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_319,negated_conjecture,
    ( hskp3
    | hskp12
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    i_0_17 ).

fof(c_0_320,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_321,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_322,negated_conjecture,
    ( epred25_0
    | hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_323,negated_conjecture,
    ( hskp6
    | hskp12
    | hskp20 ),
    i_0_1 ).

fof(c_0_324,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( hskp25
        | c0_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_325,negated_conjecture,
    ( epred16_0
    | hskp12
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_288]),c_0_286]),c_0_307]) ).

cnf(c_0_326,negated_conjecture,
    ( hskp12
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    i_0_24 ).

cnf(c_0_327,negated_conjecture,
    ( epred31_0
    | epred25_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_328,negated_conjecture,
    ( epred49_0
    | epred7_0
    | hskp20
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_329,negated_conjecture,
    ( epred49_0
    | epred31_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_314]) ).

fof(c_0_330,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_331,negated_conjecture,
    ( epred37_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_315]) ).

cnf(c_0_332,negated_conjecture,
    ( epred3_0
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp27 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_316]),c_0_284])]) ).

fof(c_0_333,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( hskp11
        | c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_334,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ ndr1_0
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_335,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c1_1(X3)
        | ~ ndr1_0
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_336,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp2
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_284])]) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a503) ),
    i_0_93 ).

cnf(c_0_338,negated_conjecture,
    ( epred34_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_318]) ).

cnf(c_0_339,negated_conjecture,
    ( c3_1(a461)
    | ~ hskp25 ),
    i_0_73 ).

cnf(c_0_340,negated_conjecture,
    ( c0_1(a461)
    | ~ hskp25 ),
    i_0_75 ).

cnf(c_0_341,negated_conjecture,
    ( c1_1(X1)
    | hskp12
    | hskp3
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_284])]) ).

cnf(c_0_342,negated_conjecture,
    ( c3_1(a468)
    | ~ hskp5 ),
    i_0_154 ).

cnf(c_0_343,negated_conjecture,
    ( c0_1(a468)
    | ~ hskp5 ),
    i_0_155 ).

fof(c_0_344,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_345,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( hskp3
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_346,negated_conjecture,
    ( hskp0
    | hskp12
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_39 ).

cnf(c_0_347,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_320]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a468) ),
    i_0_153 ).

cnf(c_0_349,negated_conjecture,
    ( hskp12
    | hskp14
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_20 ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a480) ),
    i_0_126 ).

cnf(c_0_351,negated_conjecture,
    ( epred47_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_321]),c_0_284])]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a480) ),
    i_0_127 ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a480) ),
    i_0_125 ).

cnf(c_0_354,negated_conjecture,
    ( epred25_0
    | hskp20
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_355,negated_conjecture,
    ( c2_1(a461)
    | ~ hskp25 ),
    i_0_74 ).

cnf(c_0_356,negated_conjecture,
    ( epred8_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp25 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_284])]) ).

cnf(c_0_357,negated_conjecture,
    ( epred16_0
    | hskp20
    | hskp12
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_325,c_0_311]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ epred16_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_326,c_0_298]),c_0_281]) ).

cnf(c_0_359,negated_conjecture,
    ( epred49_0
    | epred31_0
    | epred25_0
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]) ).

cnf(c_0_360,negated_conjecture,
    ( epred9_0
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_330]) ).

cnf(c_0_361,negated_conjecture,
    ( epred37_0
    | ~ c2_1(a533)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_331]),c_0_288]) ).

cnf(c_0_362,negated_conjecture,
    ( epred3_0
    | c2_1(a533)
    | hskp27
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_332]),c_0_307]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a477) ),
    i_0_133 ).

cnf(c_0_364,negated_conjecture,
    ( c2_1(a477)
    | ~ hskp10 ),
    i_0_134 ).

cnf(c_0_365,negated_conjecture,
    ( epred30_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp11
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_333]),c_0_284])]) ).

cnf(c_0_366,negated_conjecture,
    ( c1_1(a477)
    | ~ hskp10 ),
    i_0_135 ).

cnf(c_0_367,negated_conjecture,
    ( epred50_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_334]),c_0_284])]) ).

cnf(c_0_368,negated_conjecture,
    ( epred51_0
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_335]),c_0_284])]) ).

cnf(c_0_369,negated_conjecture,
    ( c0_1(a503)
    | hskp6
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_301]),c_0_337]) ).

cnf(c_0_370,negated_conjecture,
    ( epred34_0
    | ~ c1_1(a461)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]) ).

cnf(c_0_371,negated_conjecture,
    ( c1_1(a461)
    | hskp12
    | hskp3
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_339]),c_0_340]) ).

cnf(c_0_372,negated_conjecture,
    ( epred34_0
    | ~ c1_1(a468)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_342]),c_0_343]) ).

cnf(c_0_373,negated_conjecture,
    ( c1_1(a468)
    | hskp12
    | hskp3
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]) ).

fof(c_0_374,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp9
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_375,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( hskp28
        | c2_1(X2)
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_376,plain,
    ( ~ epred48_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_377,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( hskp0
        | c0_1(X2)
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_378,negated_conjecture,
    ( epred13_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_344]) ).

cnf(c_0_379,negated_conjecture,
    ( c3_1(a466)
    | ~ hskp3 ),
    i_0_162 ).

cnf(c_0_380,negated_conjecture,
    ( c1_1(a466)
    | ~ hskp3 ),
    i_0_163 ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a466) ),
    i_0_161 ).

cnf(c_0_382,negated_conjecture,
    ( epred33_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp3
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_345]),c_0_284])]) ).

cnf(c_0_383,negated_conjecture,
    ( c0_1(a460)
    | ~ hskp0 ),
    i_0_175 ).

cnf(c_0_384,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a460) ),
    i_0_174 ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a460) ),
    i_0_173 ).

cnf(c_0_386,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | hskp12
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_284])]) ).

cnf(c_0_387,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp11 ),
    i_0_131 ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a478) ),
    i_0_130 ).

cnf(c_0_389,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a478) ),
    i_0_129 ).

cnf(c_0_390,negated_conjecture,
    ( epred18_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_342]),c_0_343]),c_0_348]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a488) ),
    i_0_117 ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a488) ),
    i_0_119 ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a488) ),
    i_0_118 ).

cnf(c_0_394,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp14
    | hskp12
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_284])]) ).

fof(c_0_395,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_396,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    i_0_30 ).

cnf(c_0_397,negated_conjecture,
    ( epred47_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352]),c_0_353]) ).

cnf(c_0_398,negated_conjecture,
    ( epred31_0
    | epred25_0
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_327,c_0_354]) ).

cnf(c_0_399,negated_conjecture,
    ( c3_1(a474)
    | ~ hskp7 ),
    i_0_147 ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a474) ),
    i_0_145 ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a474) ),
    i_0_146 ).

fof(c_0_402,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( hskp7
        | c0_1(X1)
        | c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_403,negated_conjecture,
    ( epred31_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_339]),c_0_340]),c_0_355]) ).

cnf(c_0_404,negated_conjecture,
    ( epred8_0
    | hskp25
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_356]),c_0_352]),c_0_353]) ).

cnf(c_0_405,negated_conjecture,
    ( epred31_0
    | epred25_0
    | epred16_0
    | hskp12
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_327,c_0_357]) ).

cnf(c_0_406,negated_conjecture,
    ( epred49_0
    | epred31_0
    | epred25_0
    | ~ epred16_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_407,negated_conjecture,
    ( epred49_0
    | epred31_0
    | ~ c0_1(a503)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_312,c_0_301]) ).

cnf(c_0_408,negated_conjecture,
    ( epred9_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_360]),c_0_288]),c_0_307]) ).

fof(c_0_409,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_410,negated_conjecture,
    ( c3_1(a473)
    | ~ hskp27 ),
    i_0_65 ).

cnf(c_0_411,negated_conjecture,
    ( c0_1(a473)
    | ~ hskp27 ),
    i_0_67 ).

cnf(c_0_412,negated_conjecture,
    ( c1_1(a473)
    | ~ hskp27 ),
    i_0_66 ).

cnf(c_0_413,negated_conjecture,
    ( epred37_0
    | epred3_0
    | hskp27
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_361,c_0_362]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a476) ),
    i_0_137 ).

fof(c_0_415,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( hskp0
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_416,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_417,negated_conjecture,
    ( epred49_0
    | ~ c0_1(a477)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_287]),c_0_364]) ).

cnf(c_0_418,negated_conjecture,
    ( epred30_0
    | c0_1(a477)
    | hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_363]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a465) ),
    i_0_166 ).

cnf(c_0_420,negated_conjecture,
    ( epred50_0
    | epred47_0
    | c2_1(X1)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_367,c_0_351]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a465) ),
    i_0_167 ).

cnf(c_0_422,negated_conjecture,
    ( epred51_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_368]),c_0_295]),c_0_297]) ).

cnf(c_0_423,negated_conjecture,
    ( epred31_0
    | hskp6
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_308,c_0_369]) ).

cnf(c_0_424,negated_conjecture,
    ( epred34_0
    | hskp12
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_425,negated_conjecture,
    ( hskp5
    | hskp14
    | hskp25 ),
    i_0_6 ).

cnf(c_0_426,negated_conjecture,
    ( epred34_0
    | hskp12
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_372,c_0_373]) ).

cnf(c_0_427,negated_conjecture,
    ( epred24_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp9
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_374]),c_0_284])]) ).

cnf(c_0_428,negated_conjecture,
    ( epred17_0
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp28 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_375]),c_0_284])]) ).

cnf(c_0_429,negated_conjecture,
    ( hskp2
    | hskp15
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    i_0_11 ).

fof(c_0_430,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( hskp21
        | c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_431,negated_conjecture,
    ( epred48_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_376]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a465) ),
    i_0_165 ).

fof(c_0_433,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( hskp26
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a494) ),
    i_0_105 ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a494) ),
    i_0_106 ).

cnf(c_0_436,negated_conjecture,
    ( epred1_0
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_377]),c_0_284])]) ).

cnf(c_0_437,negated_conjecture,
    ( hskp3
    | hskp15
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    i_0_27 ).

fof(c_0_438,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( hskp17
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_439,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( hskp14
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_440,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( hskp10
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_441,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( hskp9
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_442,negated_conjecture,
    ( hskp0
    | hskp1
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    i_0_56 ).

cnf(c_0_443,negated_conjecture,
    ( epred13_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_380]),c_0_381]) ).

cnf(c_0_444,negated_conjecture,
    ( epred33_0
    | hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]),c_0_385]) ).

cnf(c_0_445,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_388]),c_0_389]) ).

cnf(c_0_446,negated_conjecture,
    ( epred18_0
    | hskp11 ),
    inference(spm,[status(thm)],[c_0_390,c_0_278]) ).

cnf(c_0_447,negated_conjecture,
    ( epred9_0
    | ~ c0_1(a488)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_360]),c_0_392]) ).

cnf(c_0_448,negated_conjecture,
    ( epred47_0
    | c0_1(a488)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_351]),c_0_393]) ).

cnf(c_0_449,negated_conjecture,
    ( hskp14
    | hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_295]),c_0_296]),c_0_297]) ).

cnf(c_0_450,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_32 ).

cnf(c_0_451,negated_conjecture,
    ( ~ epred52_0
    | ~ epred51_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_396,c_0_335]),c_0_395]),c_0_282]) ).

cnf(c_0_452,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_453,negated_conjecture,
    ( c3_1(a512)
    | ~ hskp21 ),
    i_0_90 ).

cnf(c_0_454,negated_conjecture,
    ( c0_1(a512)
    | ~ hskp21 ),
    i_0_91 ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a512) ),
    i_0_89 ).

fof(c_0_456,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_457,negated_conjecture,
    ( epred50_0
    | epred8_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_367,c_0_356]) ).

cnf(c_0_458,negated_conjecture,
    ( epred18_0
    | ~ c0_1(a474)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_399]),c_0_400]) ).

cnf(c_0_459,negated_conjecture,
    ( epred47_0
    | c0_1(a474)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_351]),c_0_400]) ).

cnf(c_0_460,negated_conjecture,
    ( epred6_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_402]),c_0_284])]) ).

cnf(c_0_461,negated_conjecture,
    ( hskp25
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    i_0_58 ).

cnf(c_0_462,negated_conjecture,
    ( epred31_0
    | epred8_0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_463,negated_conjecture,
    ( epred49_0
    | epred31_0
    | epred25_0
    | hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_405]),c_0_406]) ).

cnf(c_0_464,negated_conjecture,
    ( epred49_0
    | epred31_0
    | epred25_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_407,c_0_309]) ).

cnf(c_0_465,negated_conjecture,
    ( epred9_0
    | hskp20
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_408,c_0_311]) ).

cnf(c_0_466,negated_conjecture,
    ( epred20_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_409]) ).

cnf(c_0_467,negated_conjecture,
    ( c1_1(a490)
    | ~ hskp28 ),
    i_0_62 ).

cnf(c_0_468,negated_conjecture,
    ( c0_1(a490)
    | ~ hskp28 ),
    i_0_63 ).

cnf(c_0_469,negated_conjecture,
    ( c2_1(a490)
    | ~ hskp28 ),
    i_0_61 ).

cnf(c_0_470,negated_conjecture,
    ( epred37_0
    | ~ c0_1(a503)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_331]),c_0_301]) ).

cnf(c_0_471,negated_conjecture,
    ( epred34_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_410]),c_0_411]),c_0_412]) ).

cnf(c_0_472,negated_conjecture,
    ( epred37_0
    | epred3_0
    | hskp27
    | hskp20
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_413,c_0_311]) ).

cnf(c_0_473,negated_conjecture,
    ( epred37_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_331]),c_0_314]),c_0_313]) ).

cnf(c_0_474,negated_conjecture,
    ( c3_1(a470)
    | ~ hskp26 ),
    i_0_69 ).

cnf(c_0_475,negated_conjecture,
    ( c1_1(a470)
    | ~ hskp26 ),
    i_0_71 ).

cnf(c_0_476,negated_conjecture,
    ( c3_1(a492)
    | ~ hskp15 ),
    i_0_114 ).

cnf(c_0_477,negated_conjecture,
    ( c1_1(a492)
    | ~ hskp15 ),
    i_0_115 ).

cnf(c_0_478,negated_conjecture,
    ( epred4_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_415]),c_0_284])]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a492) ),
    i_0_113 ).

cnf(c_0_480,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_416]) ).

fof(c_0_481,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_482,negated_conjecture,
    ( epred49_0
    | epred30_0
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_417,c_0_418]) ).

cnf(c_0_483,negated_conjecture,
    ( epred50_0
    | epred47_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]) ).

cnf(c_0_484,negated_conjecture,
    ( epred51_0
    | epred31_0
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_485,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ c0_1(a503)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_300]),c_0_337]) ).

cnf(c_0_486,negated_conjecture,
    ( epred3_0
    | hskp27
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_332]),c_0_393]),c_0_392]) ).

cnf(c_0_487,negated_conjecture,
    ( epred34_0
    | hskp14
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_426]) ).

cnf(c_0_488,negated_conjecture,
    ( c3_1(a476)
    | hskp20
    | hskp19
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_313]),c_0_414]) ).

cnf(c_0_489,negated_conjecture,
    ( epred24_0
    | epred17_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp28
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_427,c_0_428]) ).

cnf(c_0_490,negated_conjecture,
    ( epred24_0
    | epred3_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp27
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_427,c_0_332]) ).

cnf(c_0_491,negated_conjecture,
    ( c2_1(X1)
    | hskp15
    | hskp2
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_429,c_0_284])]) ).

cnf(c_0_492,negated_conjecture,
    ( epred16_0
    | c1_1(a460)
    | hskp12
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_383]),c_0_385]) ).

cnf(c_0_493,negated_conjecture,
    ( epred52_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_395]) ).

cnf(c_0_494,negated_conjecture,
    ( epred29_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp21
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_430]),c_0_284])]) ).

cnf(c_0_495,negated_conjecture,
    ( epred8_0
    | c0_1(a488)
    | hskp25
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_356]),c_0_393]) ).

cnf(c_0_496,negated_conjecture,
    ( epred49_0
    | epred34_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_338,c_0_287]) ).

cnf(c_0_497,negated_conjecture,
    ( epred48_0
    | epred9_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_431,c_0_360]) ).

cnf(c_0_498,negated_conjecture,
    ( epred3_0
    | c1_1(a465)
    | hskp27
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_332]),c_0_419]) ).

cnf(c_0_499,negated_conjecture,
    ( epred39_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp26
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_433]),c_0_284])]) ).

cnf(c_0_500,negated_conjecture,
    ( epred3_0
    | c2_1(a494)
    | hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_332]),c_0_435]) ).

cnf(c_0_501,negated_conjecture,
    ( epred1_0
    | c1_1(a465)
    | hskp0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_436]),c_0_421]) ).

cnf(c_0_502,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp15
    | hskp3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_437,c_0_284])]) ).

cnf(c_0_503,negated_conjecture,
    ( epred9_0
    | c1_1(a460)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_360]),c_0_383]) ).

cnf(c_0_504,negated_conjecture,
    ( epred43_0
    | c1_1(X1)
    | hskp17
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_438]),c_0_284])]) ).

cnf(c_0_505,negated_conjecture,
    ( epred42_0
    | c0_1(X1)
    | hskp14
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_439]),c_0_284])]) ).

cnf(c_0_506,negated_conjecture,
    ( epred38_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp10
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_440]),c_0_284])]) ).

cnf(c_0_507,negated_conjecture,
    ( epred36_0
    | c1_1(X1)
    | hskp9
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_441]),c_0_284])]) ).

cnf(c_0_508,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp1
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_284])]) ).

cnf(c_0_509,negated_conjecture,
    ( epred49_0
    | ~ c0_1(a471)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_287]),c_0_295]) ).

cnf(c_0_510,negated_conjecture,
    ( c0_1(a471)
    | hskp12
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_295]),c_0_296]) ).

cnf(c_0_511,negated_conjecture,
    ( epred33_0
    | epred13_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_443,c_0_444]) ).

cnf(c_0_512,negated_conjecture,
    ( epred18_0
    | hskp12
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_513,negated_conjecture,
    ( epred47_0
    | epred9_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_514,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_449,c_0_323]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ epred42_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_450,c_0_439]),c_0_285]) ).

cnf(c_0_516,negated_conjecture,
    ( epred47_0
    | epred31_0
    | ~ epred52_0
    | ~ epred51_0 ),
    inference(spm,[status(thm)],[c_0_451,c_0_452]) ).

cnf(c_0_517,negated_conjecture,
    ( epred48_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_300]),c_0_301]),c_0_337]) ).

cnf(c_0_518,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ c0_1(a474)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_399]),c_0_401]) ).

cnf(c_0_519,negated_conjecture,
    ( epred8_0
    | c0_1(a474)
    | hskp25
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_356]),c_0_400]) ).

cnf(c_0_520,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_453]),c_0_454]),c_0_455]) ).

cnf(c_0_521,negated_conjecture,
    ( hskp6
    | hskp10
    | hskp21 ),
    i_0_4 ).

cnf(c_0_522,negated_conjecture,
    ( epred53_0
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_456]),c_0_284])]) ).

cnf(c_0_523,negated_conjecture,
    ( epred51_0
    | ~ c2_1(a494)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_368]),c_0_435]) ).

cnf(c_0_524,negated_conjecture,
    ( epred50_0
    | epred8_0
    | hskp25
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_457]),c_0_421]) ).

cnf(c_0_525,negated_conjecture,
    ( epred47_0
    | epred18_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_526,negated_conjecture,
    ( epred6_0
    | hskp7
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_460]),c_0_421]),c_0_419]) ).

cnf(c_0_527,negated_conjecture,
    ( epred7_0
    | ~ c0_1(a488)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_289]),c_0_393]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_324]),c_0_330]) ).

cnf(c_0_529,negated_conjecture,
    ( epred49_0
    | epred31_0
    | epred25_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_462,c_0_463]) ).

cnf(c_0_530,negated_conjecture,
    ( epred49_0
    | epred31_0
    | epred25_0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_329]) ).

cnf(c_0_531,negated_conjecture,
    ( epred20_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_468]),c_0_469]) ).

cnf(c_0_532,negated_conjecture,
    ( epred17_0
    | hskp28
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_428]),c_0_393]),c_0_392]) ).

cnf(c_0_533,negated_conjecture,
    ( epred48_0
    | c1_1(a461)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_339]),c_0_355]) ).

cnf(c_0_534,negated_conjecture,
    ( epred13_0
    | ~ c1_1(a502)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_291]),c_0_293]) ).

cnf(c_0_535,negated_conjecture,
    ( epred48_0
    | c1_1(a502)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_291]),c_0_292]) ).

cnf(c_0_536,negated_conjecture,
    ( epred37_0
    | epred25_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_470,c_0_309]) ).

cnf(c_0_537,negated_conjecture,
    ( epred37_0
    | epred34_0
    | epred3_0
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_472]),c_0_473]) ).

cnf(c_0_538,negated_conjecture,
    ( epred34_0
    | ~ c0_1(a470)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_474]),c_0_475]) ).

cnf(c_0_539,negated_conjecture,
    ( epred13_0
    | c0_1(a470)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_474]),c_0_475]) ).

cnf(c_0_540,negated_conjecture,
    ( epred34_0
    | ~ c0_1(a492)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_476]),c_0_477]) ).

cnf(c_0_541,negated_conjecture,
    ( epred13_0
    | c0_1(a492)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_476]),c_0_477]) ).

cnf(c_0_542,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    i_0_171 ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a463) ),
    i_0_170 ).

cnf(c_0_544,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    i_0_169 ).

cnf(c_0_545,negated_conjecture,
    ( epred9_0
    | ~ c0_1(a471)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_360]),c_0_297]) ).

cnf(c_0_546,negated_conjecture,
    ( epred4_0
    | c0_1(a471)
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_295]),c_0_297]) ).

cnf(c_0_547,negated_conjecture,
    ( epred18_0
    | ~ c0_1(a492)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_476]),c_0_479]) ).

cnf(c_0_548,negated_conjecture,
    ( epred1_0
    | c0_1(a488)
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_436]),c_0_392]) ).

cnf(c_0_549,negated_conjecture,
    ( epred2_0
    | c0_1(a488)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_480]),c_0_393]) ).

cnf(c_0_550,negated_conjecture,
    ( epred5_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_481]) ).

cnf(c_0_551,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X3) ),
    i_0_31 ).

cnf(c_0_552,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    i_0_44 ).

cnf(c_0_553,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | c1_1(X3)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    i_0_57 ).

cnf(c_0_554,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c3_1(X3)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_59 ).

cnf(c_0_555,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    i_0_18 ).

cnf(c_0_556,negated_conjecture,
    ( hskp26
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    i_0_48 ).

cnf(c_0_557,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    i_0_41 ).

cnf(c_0_558,negated_conjecture,
    ( hskp9
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1) ),
    i_0_19 ).

cnf(c_0_559,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2) ),
    i_0_15 ).

cnf(c_0_560,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    i_0_40 ).

cnf(c_0_561,negated_conjecture,
    ( hskp21
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    i_0_14 ).

cnf(c_0_562,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    i_0_42 ).

cnf(c_0_563,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    i_0_28 ).

cnf(c_0_564,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    i_0_45 ).

cnf(c_0_565,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_60 ).

cnf(c_0_566,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c1_1(X2)
    | ~ ndr1_0 ),
    i_0_46 ).

cnf(c_0_567,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0 ),
    i_0_55 ).

cnf(c_0_568,negated_conjecture,
    ( hskp12
    | hskp0
    | epred49_0
    | epred30_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_445,c_0_482]) ).

cnf(c_0_569,negated_conjecture,
    ( epred50_0
    | epred47_0
    | epred51_0
    | epred31_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_483,c_0_484]) ).

cnf(c_0_570,negated_conjecture,
    ( hskp14
    | hskp12
    | epred31_0
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_449,c_0_423]) ).

cnf(c_0_571,negated_conjecture,
    ( hskp12
    | hskp3
    | hskp6
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_485,c_0_369]) ).

cnf(c_0_572,negated_conjecture,
    ( epred3_0
    | hskp27
    | epred34_0
    | hskp12
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_486,c_0_487]) ).

cnf(c_0_573,negated_conjecture,
    ( epred48_0
    | c1_1(a476)
    | hskp20
    | hskp19
    | ~ c2_1(a476)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_431,c_0_488]) ).

cnf(c_0_574,negated_conjecture,
    ( epred31_0
    | hskp20
    | hskp19
    | ~ c2_1(a476)
    | ~ c0_1(a476)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_299,c_0_488]) ).

cnf(c_0_575,negated_conjecture,
    ( epred24_0
    | epred17_0
    | c2_1(a480)
    | c0_1(a480)
    | hskp28
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_350,c_0_489]) ).

cnf(c_0_576,negated_conjecture,
    ( epred24_0
    | epred3_0
    | c2_1(a480)
    | c0_1(a480)
    | hskp27
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_350,c_0_490]) ).

cnf(c_0_577,negated_conjecture,
    ( epred16_0
    | c1_1(a488)
    | c3_1(a488)
    | hskp12
    | epred47_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_306,c_0_448]) ).

cnf(c_0_578,negated_conjecture,
    ( c2_1(a460)
    | hskp15
    | hskp2
    | epred16_0
    | hskp12
    | ~ c0_1(a460)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_492]) ).

cnf(c_0_579,negated_conjecture,
    ( epred52_0
    | c2_1(a460)
    | epred16_0
    | hskp12
    | ~ c0_1(a460)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_492]) ).

cnf(c_0_580,negated_conjecture,
    ( epred29_0
    | c3_1(a460)
    | c2_1(a460)
    | hskp21
    | epred16_0
    | hskp12
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_492]) ).

cnf(c_0_581,negated_conjecture,
    ( epred16_0
    | c1_1(a488)
    | c3_1(a488)
    | hskp12
    | epred8_0
    | hskp25
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_306,c_0_495]) ).

cnf(c_0_582,negated_conjecture,
    ( epred49_0
    | epred34_0
    | ~ c2_1(a490)
    | ~ c0_1(a490)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_496,c_0_467]) ).

cnf(c_0_583,negated_conjecture,
    ( epred48_0
    | epred9_0
    | ~ hskp9
    | ~ c2_1(a476)
    | ~ c0_1(a476) ),
    inference(spm,[status(thm)],[c_0_414,c_0_497]) ).

cnf(c_0_584,negated_conjecture,
    ( epred30_0
    | c3_1(a465)
    | c0_1(a465)
    | hskp11
    | epred3_0
    | hskp27
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_365,c_0_498]) ).

cnf(c_0_585,negated_conjecture,
    ( epred39_0
    | c1_1(a494)
    | c0_1(a494)
    | hskp26
    | epred3_0
    | hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_586,negated_conjecture,
    ( epred30_0
    | c3_1(a465)
    | c0_1(a465)
    | hskp11
    | epred1_0
    | hskp0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_365,c_0_501]) ).

cnf(c_0_587,negated_conjecture,
    ( epred29_0
    | c3_1(a465)
    | c2_1(a465)
    | hskp21
    | epred1_0
    | hskp0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_494,c_0_501]) ).

cnf(c_0_588,negated_conjecture,
    ( epred50_0
    | c2_1(a465)
    | c0_1(a465)
    | epred1_0
    | hskp0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_367,c_0_501]) ).

cnf(c_0_589,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_443,c_0_502]) ).

cnf(c_0_590,negated_conjecture,
    ( c2_1(a460)
    | hskp15
    | hskp2
    | epred9_0
    | ~ c0_1(a460)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_503]) ).

cnf(c_0_591,negated_conjecture,
    ( epred29_0
    | c3_1(a460)
    | c2_1(a460)
    | hskp21
    | epred9_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_503]) ).

cnf(c_0_592,negated_conjecture,
    ( epred43_0
    | c1_1(a476)
    | hskp17
    | ~ c0_1(a476)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_504,c_0_313]) ).

cnf(c_0_593,negated_conjecture,
    ( epred43_0
    | c1_1(a461)
    | hskp17
    | ~ c0_1(a461)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_504,c_0_355]) ).

cnf(c_0_594,negated_conjecture,
    ( epred42_0
    | c0_1(a466)
    | hskp14
    | ~ c1_1(a466)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_505,c_0_379]) ).

cnf(c_0_595,negated_conjecture,
    ( epred38_0
    | c2_1(a466)
    | c0_1(a466)
    | hskp10
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_506,c_0_379]) ).

cnf(c_0_596,negated_conjecture,
    ( epred36_0
    | c1_1(a512)
    | hskp9
    | ~ c0_1(a512)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_507,c_0_453]) ).

cnf(c_0_597,negated_conjecture,
    ( c2_1(a480)
    | c0_1(a480)
    | hskp1
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_350,c_0_508]) ).

cnf(c_0_598,negated_conjecture,
    ( epred49_0
    | hskp12
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_509,c_0_510]) ).

cnf(c_0_599,negated_conjecture,
    ( epred33_0
    | epred18_0
    | epred13_0
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_511,c_0_512]) ).

cnf(c_0_600,negated_conjecture,
    ( epred47_0
    | epred9_0
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_397]) ).

cnf(c_0_601,negated_conjecture,
    ( epred47_0
    | ~ epred52_0
    | ~ epred51_0
    | ~ epred42_0 ),
    inference(spm,[status(thm)],[c_0_515,c_0_516]) ).

cnf(c_0_602,negated_conjecture,
    ( epred31_0
    | epred25_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_462,c_0_398]) ).

cnf(c_0_603,negated_conjecture,
    ( epred48_0
    | epred25_0
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_517,c_0_354]) ).

cnf(c_0_604,negated_conjecture,
    ( epred8_0
    | hskp25
    | hskp3
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_519]),c_0_404]) ).

cnf(c_0_605,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_606,negated_conjecture,
    ( epred53_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_522]),c_0_393]),c_0_392]) ).

cnf(c_0_607,negated_conjecture,
    ( epred51_0
    | hskp20
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_422,c_0_323]) ).

cnf(c_0_608,negated_conjecture,
    ( epred51_0
    | epred3_0
    | hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_523,c_0_500]) ).

cnf(c_0_609,negated_conjecture,
    ( epred50_0
    | epred31_0
    | epred8_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_403,c_0_524]) ).

cnf(c_0_610,negated_conjecture,
    ( epred47_0
    | epred18_0
    | epred6_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_525,c_0_526]) ).

cnf(c_0_611,negated_conjecture,
    ( epred47_0
    | epred7_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_527,c_0_448]) ).

cnf(c_0_612,negated_conjecture,
    ( epred49_0
    | epred31_0
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_529]),c_0_530]) ).

cnf(c_0_613,negated_conjecture,
    ( epred20_0
    | epred17_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_531,c_0_532]) ).

cnf(c_0_614,negated_conjecture,
    ( epred8_0
    | epred7_0
    | hskp25
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_527,c_0_495]) ).

cnf(c_0_615,negated_conjecture,
    ( epred48_0
    | epred34_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_370,c_0_533]) ).

cnf(c_0_616,negated_conjecture,
    ( epred48_0
    | epred13_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_617,negated_conjecture,
    ( epred48_0
    | epred9_0
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_517,c_0_465]) ).

cnf(c_0_618,negated_conjecture,
    ( epred37_0
    | epred34_0
    | epred25_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_536,c_0_537]) ).

cnf(c_0_619,negated_conjecture,
    ( epred34_0
    | epred13_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_538,c_0_539]) ).

cnf(c_0_620,negated_conjecture,
    ( epred34_0
    | epred13_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_540,c_0_541]) ).

cnf(c_0_621,negated_conjecture,
    ( epred4_0
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_542]),c_0_543]),c_0_544]) ).

cnf(c_0_622,negated_conjecture,
    ( epred9_0
    | epred4_0
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_545,c_0_546]) ).

cnf(c_0_623,negated_conjecture,
    ( epred25_0
    | ~ c2_1(a466)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_379]),c_0_381]) ).

cnf(c_0_624,negated_conjecture,
    ( epred18_0
    | epred13_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_547,c_0_541]) ).

cnf(c_0_625,negated_conjecture,
    ( epred9_0
    | epred1_0
    | hskp0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_447,c_0_548]) ).

cnf(c_0_626,negated_conjecture,
    ( epred9_0
    | epred2_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_447,c_0_549]) ).

cnf(c_0_627,negated_conjecture,
    ( epred7_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_289]),c_0_383]),c_0_384]) ).

cnf(c_0_628,negated_conjecture,
    ( epred5_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_550]),c_0_352]),c_0_353]) ).

cnf(c_0_629,negated_conjecture,
    ( epred2_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_480]),c_0_421]),c_0_419]) ).

cnf(c_0_630,negated_conjecture,
    ( epred49_0
    | epred31_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_469]),c_0_468]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ epred53_0
    | ~ epred34_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_551,c_0_456]),c_0_282]),c_0_318]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ epred50_0
    | ~ epred25_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_552,c_0_334]),c_0_282]),c_0_344]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ epred49_0
    | ~ epred48_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_553,c_0_321]),c_0_376]),c_0_280]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ epred47_0
    | ~ epred13_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_554,c_0_321]),c_0_281]),c_0_344]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ epred43_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_555,c_0_438]),c_0_285]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ epred39_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_556,c_0_433]),c_0_285]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ epred38_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_557,c_0_440]),c_0_409]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ epred37_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_558,c_0_441]),c_0_315]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_345]),c_0_318]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_560,c_0_333]),c_0_285]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ epred29_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_561,c_0_430]),c_0_320]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_562,c_0_374]),c_0_282]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_563,c_0_375]),c_0_320]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ epred7_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_564,c_0_402]),c_0_281]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_565,c_0_415]),c_0_481]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_566,c_0_316]),c_0_416]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_567,c_0_377]),c_0_416]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a494) ),
    i_0_107 ).

cnf(c_0_649,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_445,c_0_484,c_0_600,c_0_514,c_0_449,c_0_601,c_0_516,c_0_602,c_0_603,c_0_604,c_0_511,c_0_605,c_0_520,c_0_606,c_0_482,c_0_607,c_0_608,c_0_609,c_0_610,c_0_397,c_0_611,c_0_513,c_0_612,c_0_613,c_0_532,c_0_404,c_0_614,c_0_615,c_0_616,c_0_617,c_0_517,c_0_526,c_0_618,c_0_370,c_0_471,c_0_619,c_0_620,c_0_621,c_0_622,c_0_403,c_0_327,c_0_623,c_0_486,c_0_446,c_0_390,c_0_624,c_0_443,c_0_625,c_0_465,c_0_626,c_0_627,c_0_628,c_0_629,c_0_491,c_0_382,c_0_329,c_0_630,c_0_493,c_0_631,c_0_451,c_0_632,c_0_633,c_0_634,c_0_635,c_0_515,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_358,c_0_528,c_0_644,c_0_645,c_0_646,c_0_647,c_0_455,c_0_435,c_0_648,c_0_392,c_0_391,c_0_353,c_0_352,c_0_414,c_0_381,c_0_432,c_0_419,c_0_421,c_0_385,c_0_384,c_0_380,c_0_469,c_0_313,c_0_468,c_0_340,c_0_454,c_0_314,c_0_383,c_0_521,c_0_425]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN448+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 : n019.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 17:45:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 16.05/3.43  # ENIGMATIC: Solved by autoschedule:
% 16.05/3.43  # No SInE strategy applied
% 16.05/3.43  # Trying AutoSched0 for 150 seconds
% 16.05/3.43  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 16.05/3.43  # and selection function SelectMaxLComplexAvoidPosPred.
% 16.05/3.43  #
% 16.05/3.43  # Preprocessing time       : 0.026 s
% 16.05/3.43  # SatCheck found unsatisfiable ground set
% 16.05/3.43  
% 16.05/3.43  # Proof found!
% 16.05/3.43  # SZS status Theorem
% 16.05/3.43  # SZS output start CNFRefutation
% See solution above
% 16.05/3.43  # Training examples: 0 positive, 0 negative
% 16.05/3.43  
% 16.05/3.43  # -------------------------------------------------
% 16.05/3.43  # User time                : 1.050 s
% 16.05/3.43  # System time              : 0.043 s
% 16.05/3.43  # Total time               : 1.094 s
% 16.05/3.43  # Maximum resident set size: 7120 pages
% 16.05/3.43  
%------------------------------------------------------------------------------