TSTP Solution File: SYN436+1 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN436+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 04:53:15 EDT 2022

% Result   : Theorem 22.04s 4.19s
% Output   : CNFRefutation 22.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  167
% Syntax   : Number of formulae    :  845 (   2 unt;   0 def)
%            Number of atoms       : 3308 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 3720 (1257   ~;2423   |;   0   &)
%                                         (  40 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   74 (  73 usr;  70 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  254 (   0 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_60,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_60) ).

cnf(i_0_1,negated_conjecture,
    ( hskp0
    | hskp23
    | hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_1) ).

cnf(i_0_152,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_152) ).

cnf(i_0_56,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_56) ).

cnf(i_0_19,negated_conjecture,
    ( hskp12
    | hskp27
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_19) ).

cnf(i_0_59,negated_conjecture,
    ( c3_1(a53)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_59) ).

cnf(i_0_58,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a53) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_58) ).

cnf(i_0_57,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a53) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_57) ).

cnf(i_0_102,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a21) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_102) ).

cnf(i_0_103,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a21) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_103) ).

cnf(i_0_101,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a21) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_101) ).

cnf(i_0_55,negated_conjecture,
    ( c1_1(a3)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_55) ).

cnf(i_0_54,negated_conjecture,
    ( c2_1(a3)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_54) ).

cnf(i_0_53,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_53) ).

cnf(i_0_78,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a32) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_78) ).

cnf(i_0_77,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a32) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_77) ).

cnf(i_0_79,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a32) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_79) ).

cnf(i_0_10,negated_conjecture,
    ( hskp17
    | hskp18
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_10) ).

cnf(i_0_97,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_97) ).

cnf(i_0_99,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_99) ).

cnf(i_0_98,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_98) ).

cnf(i_0_151,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_151) ).

cnf(i_0_150,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_150) ).

cnf(i_0_149,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_149) ).

cnf(i_0_65,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a42) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_65) ).

cnf(i_0_67,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_67) ).

cnf(i_0_66,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_66) ).

cnf(i_0_93,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a24) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_93) ).

cnf(i_0_95,negated_conjecture,
    ( c2_1(a24)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_95) ).

cnf(i_0_17,negated_conjecture,
    ( hskp2
    | hskp14
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_17) ).

cnf(i_0_11,negated_conjecture,
    ( hskp16
    | hskp26
    | c3_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_11) ).

cnf(i_0_13,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_13) ).

cnf(i_0_26,negated_conjecture,
    ( hskp25
    | hskp26
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_26) ).

cnf(i_0_7,negated_conjecture,
    ( hskp20
    | hskp26
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_7) ).

cnf(i_0_122,negated_conjecture,
    ( c3_1(a14)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_122) ).

cnf(i_0_123,negated_conjecture,
    ( c0_1(a14)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_123) ).

cnf(i_0_121,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_121) ).

cnf(i_0_113,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_113) ).

cnf(i_0_115,negated_conjecture,
    ( c0_1(a16)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_115) ).

cnf(i_0_114,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a16) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_114) ).

cnf(i_0_2,negated_conjecture,
    ( hskp7
    | hskp9
    | hskp13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_2) ).

cnf(i_0_42,negated_conjecture,
    ( c1_1(a11)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_42) ).

cnf(i_0_43,negated_conjecture,
    ( c0_1(a11)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_43) ).

cnf(i_0_41,negated_conjecture,
    ( c3_1(a11)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_41) ).

cnf(i_0_81,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a31) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_81) ).

cnf(i_0_83,negated_conjecture,
    ( c0_1(a31)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_83) ).

cnf(i_0_82,negated_conjecture,
    ( c2_1(a31)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_82) ).

cnf(i_0_118,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_118) ).

cnf(i_0_119,negated_conjecture,
    ( c0_1(a15)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_119) ).

cnf(i_0_117,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_117) ).

cnf(i_0_25,negated_conjecture,
    ( hskp26
    | hskp27
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_25) ).

cnf(i_0_126,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_126) ).

cnf(i_0_125,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_125) ).

cnf(i_0_127,negated_conjecture,
    ( c0_1(a8)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_127) ).

cnf(i_0_107,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_107) ).

cnf(i_0_105,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_105) ).

cnf(i_0_106,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a19) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_106) ).

cnf(i_0_87,negated_conjecture,
    ( c1_1(a30)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_87) ).

cnf(i_0_86,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a30) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_86) ).

cnf(i_0_85,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a30) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_85) ).

cnf(i_0_8,negated_conjecture,
    ( hskp9
    | hskp24
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_8) ).

cnf(i_0_33,negated_conjecture,
    ( hskp2
    | hskp3
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_33) ).

cnf(i_0_69,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a37) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_69) ).

cnf(i_0_70,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_70) ).

cnf(i_0_50,negated_conjecture,
    ( c1_1(a9)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_50) ).

cnf(i_0_51,negated_conjecture,
    ( c0_1(a9)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_51) ).

cnf(i_0_49,negated_conjecture,
    ( c2_1(a9)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_49) ).

cnf(i_0_5,negated_conjecture,
    ( hskp17
    | hskp21
    | hskp25 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_5) ).

cnf(i_0_3,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp17 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_3) ).

cnf(i_0_109,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_109) ).

cnf(i_0_111,negated_conjecture,
    ( c0_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_111) ).

cnf(i_0_110,negated_conjecture,
    ( c2_1(a18)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_110) ).

cnf(i_0_74,negated_conjecture,
    ( c3_1(a33)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_74) ).

cnf(i_0_75,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp19 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_75) ).

cnf(i_0_73,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a33) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_73) ).

cnf(i_0_135,negated_conjecture,
    ( c1_1(a6)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_135) ).

cnf(i_0_134,negated_conjecture,
    ( c3_1(a6)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_134) ).

cnf(i_0_133,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_133) ).

cnf(i_0_143,negated_conjecture,
    ( c1_1(a4)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_143) ).

cnf(i_0_141,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_141) ).

cnf(i_0_142,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_142) ).

cnf(i_0_94,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a24) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_94) ).

cnf(i_0_131,negated_conjecture,
    ( c1_1(a7)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_131) ).

cnf(i_0_129,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a7) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_129) ).

cnf(i_0_130,negated_conjecture,
    ( c3_1(a7)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_130) ).

cnf(i_0_23,negated_conjecture,
    ( hskp8
    | hskp9
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_23) ).

cnf(i_0_6,negated_conjecture,
    ( hskp6
    | hskp10
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_6) ).

cnf(i_0_45,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_45) ).

cnf(i_0_47,negated_conjecture,
    ( c0_1(a10)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_47) ).

cnf(i_0_46,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_46) ).

cnf(i_0_39,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_39) ).

cnf(i_0_145,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_145) ).

cnf(i_0_147,negated_conjecture,
    ( c2_1(a2)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_147) ).

cnf(i_0_146,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_146) ).

cnf(i_0_71,negated_conjecture,
    ( c1_1(a37)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_71) ).

cnf(i_0_14,negated_conjecture,
    ( hskp6
    | hskp26
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_14) ).

cnf(i_0_24,negated_conjecture,
    ( hskp7
    | hskp27
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_24) ).

cnf(i_0_137,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_137) ).

cnf(i_0_138,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_138) ).

cnf(i_0_139,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_139) ).

cnf(i_0_15,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_15) ).

cnf(i_0_62,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a45) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_62) ).

cnf(i_0_61,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a45) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_61) ).

cnf(i_0_63,negated_conjecture,
    ( c0_1(a45)
    | ~ hskp22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_63) ).

cnf(i_0_32,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_32) ).

cnf(i_0_12,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_12) ).

cnf(i_0_89,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a25) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_89) ).

cnf(i_0_91,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_91) ).

cnf(i_0_90,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_90) ).

cnf(i_0_4,negated_conjecture,
    ( hskp6
    | hskp22
    | hskp26 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_4) ).

cnf(i_0_27,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_27) ).

cnf(i_0_35,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_35) ).

cnf(i_0_30,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_30) ).

cnf(i_0_34,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_34) ).

cnf(i_0_40,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_40) ).

cnf(i_0_31,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_31) ).

cnf(i_0_9,negated_conjecture,
    ( hskp19
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_9) ).

cnf(i_0_20,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_20) ).

cnf(i_0_21,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_21) ).

cnf(i_0_28,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_28) ).

cnf(i_0_16,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_16) ).

cnf(i_0_18,negated_conjecture,
    ( hskp13
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_18) ).

cnf(i_0_29,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_29) ).

cnf(i_0_22,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_22) ).

cnf(i_0_36,negated_conjecture,
    ( hskp24
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_36) ).

cnf(i_0_37,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_37) ).

cnf(i_0_38,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-cnl0831c/input.p',i_0_38) ).

cnf(c_0_280,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    i_0_60 ).

cnf(c_0_281,negated_conjecture,
    ( hskp0
    | hskp23
    | hskp24 ),
    i_0_1 ).

cnf(c_0_282,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    i_0_152 ).

cnf(c_0_283,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    i_0_56 ).

cnf(c_0_284,negated_conjecture,
    ( hskp12
    | hskp27
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    i_0_19 ).

cnf(c_0_285,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]),c_0_283]) ).

fof(c_0_286,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( hskp0
        | c0_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_287,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_288,negated_conjecture,
    ( c0_1(X1)
    | hskp27
    | hskp12
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_285])]) ).

cnf(c_0_289,negated_conjecture,
    ( c3_1(a53)
    | ~ hskp23 ),
    i_0_59 ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a53) ),
    i_0_58 ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a53) ),
    i_0_57 ).

cnf(c_0_292,negated_conjecture,
    ( epred5_0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_286]),c_0_285])]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a21) ),
    i_0_102 ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a21) ),
    i_0_103 ).

cnf(c_0_295,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a21) ),
    i_0_101 ).

fof(c_0_296,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_297,plain,
    ( ~ epred29_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c0_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_298,negated_conjecture,
    ( epred27_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_287]) ).

cnf(c_0_299,negated_conjecture,
    ( c1_1(a3)
    | ~ hskp24 ),
    i_0_55 ).

cnf(c_0_300,negated_conjecture,
    ( c2_1(a3)
    | ~ hskp24 ),
    i_0_54 ).

cnf(c_0_301,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp24 ),
    i_0_53 ).

fof(c_0_302,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_303,negated_conjecture,
    ( hskp27
    | hskp12
    | ~ c2_1(a53)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]) ).

cnf(c_0_304,negated_conjecture,
    ( epred5_0
    | c2_1(a53)
    | hskp0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_290]) ).

cnf(c_0_305,negated_conjecture,
    ( epred5_0
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_292]),c_0_294]),c_0_295]) ).

fof(c_0_306,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_307,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( hskp4
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_308,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_309,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_310,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( hskp11
        | c0_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_311,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a32) ),
    i_0_78 ).

cnf(c_0_313,negated_conjecture,
    ( epred3_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_296]),c_0_285])]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a32) ),
    i_0_77 ).

cnf(c_0_315,negated_conjecture,
    ( epred29_0
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_297]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a32) ),
    i_0_79 ).

cnf(c_0_317,negated_conjecture,
    ( hskp17
    | hskp18
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    i_0_10 ).

fof(c_0_318,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    i_0_97 ).

cnf(c_0_320,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    i_0_99 ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    i_0_98 ).

fof(c_0_322,plain,
    ( ~ epred36_0
  <=> ! [X3] :
        ( c2_1(X3)
        | ~ c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_323,negated_conjecture,
    ( epred27_0
    | ~ c0_1(a3)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_300]) ).

cnf(c_0_324,negated_conjecture,
    ( c0_1(a3)
    | hskp27
    | hskp12
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_301]),c_0_300]) ).

cnf(c_0_325,negated_conjecture,
    ( epred32_0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_302]) ).

cnf(c_0_326,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp0 ),
    i_0_151 ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    i_0_150 ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    i_0_149 ).

cnf(c_0_329,negated_conjecture,
    ( epred5_0
    | hskp27
    | hskp0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a42) ),
    i_0_65 ).

cnf(c_0_331,negated_conjecture,
    ( epred6_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_306]) ).

cnf(c_0_332,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp21 ),
    i_0_67 ).

cnf(c_0_333,negated_conjecture,
    ( epred9_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp4
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_307]),c_0_285])]) ).

cnf(c_0_334,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp21 ),
    i_0_66 ).

fof(c_0_335,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_336,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( hskp10
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a24) ),
    i_0_93 ).

cnf(c_0_338,negated_conjecture,
    ( epred8_0
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_308]) ).

cnf(c_0_339,negated_conjecture,
    ( c2_1(a24)
    | ~ hskp14 ),
    i_0_95 ).

cnf(c_0_340,negated_conjecture,
    ( hskp2
    | hskp14
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_17 ).

cnf(c_0_341,negated_conjecture,
    ( hskp16
    | hskp26
    | c3_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    i_0_11 ).

cnf(c_0_342,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_13 ).

cnf(c_0_343,negated_conjecture,
    ( epred4_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_309]) ).

cnf(c_0_344,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | hskp11
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_310]),c_0_285])]) ).

fof(c_0_345,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_346,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_347,negated_conjecture,
    ( hskp25
    | hskp26
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_26 ).

fof(c_0_348,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_349,negated_conjecture,
    ( hskp20
    | hskp26
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    i_0_7 ).

cnf(c_0_350,negated_conjecture,
    ( epred30_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_311]) ).

cnf(c_0_351,negated_conjecture,
    ( epred3_0
    | ~ c2_1(a32)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_314]) ).

cnf(c_0_352,negated_conjecture,
    ( epred29_0
    | c2_1(a32)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]) ).

cnf(c_0_353,negated_conjecture,
    ( c2_1(X1)
    | hskp18
    | hskp17
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_285])]) ).

cnf(c_0_354,negated_conjecture,
    ( c3_1(a14)
    | ~ hskp7 ),
    i_0_122 ).

cnf(c_0_355,negated_conjecture,
    ( c0_1(a14)
    | ~ hskp7 ),
    i_0_123 ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    i_0_121 ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    i_0_113 ).

cnf(c_0_358,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_318]) ).

cnf(c_0_359,negated_conjecture,
    ( c0_1(a16)
    | ~ hskp9 ),
    i_0_115 ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a16) ),
    i_0_114 ).

cnf(c_0_361,negated_conjecture,
    ( epred29_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_315]),c_0_320]),c_0_321]) ).

cnf(c_0_362,negated_conjecture,
    ( hskp7
    | hskp9
    | hskp13 ),
    i_0_2 ).

cnf(c_0_363,negated_conjecture,
    ( c1_1(a11)
    | ~ hskp27 ),
    i_0_42 ).

cnf(c_0_364,negated_conjecture,
    ( c0_1(a11)
    | ~ hskp27 ),
    i_0_43 ).

cnf(c_0_365,negated_conjecture,
    ( epred36_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_322]) ).

cnf(c_0_366,negated_conjecture,
    ( c3_1(a11)
    | ~ hskp27 ),
    i_0_41 ).

cnf(c_0_367,negated_conjecture,
    ( epred27_0
    | hskp27
    | hskp12
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_323,c_0_324]) ).

cnf(c_0_368,negated_conjecture,
    ( epred32_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]),c_0_328]) ).

cnf(c_0_369,negated_conjecture,
    ( epred5_0
    | hskp27
    | hskp24
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_329,c_0_281]) ).

cnf(c_0_370,negated_conjecture,
    ( epred6_0
    | ~ c0_1(a42)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332]) ).

cnf(c_0_371,negated_conjecture,
    ( epred9_0
    | c0_1(a42)
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_330]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a31) ),
    i_0_81 ).

cnf(c_0_373,negated_conjecture,
    ( c0_1(a31)
    | ~ hskp17 ),
    i_0_83 ).

cnf(c_0_374,negated_conjecture,
    ( c2_1(a31)
    | ~ hskp17 ),
    i_0_82 ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    i_0_118 ).

cnf(c_0_376,negated_conjecture,
    ( epred10_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_335]) ).

cnf(c_0_377,negated_conjecture,
    ( c0_1(a15)
    | ~ hskp8 ),
    i_0_119 ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    i_0_117 ).

fof(c_0_379,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_380,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_381,negated_conjecture,
    ( epred23_0
    | c1_1(X1)
    | hskp10
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_336]),c_0_285])]) ).

fof(c_0_382,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_383,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( hskp1
        | c3_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_384,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_385,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( hskp19
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_386,negated_conjecture,
    ( epred8_0
    | ~ c3_1(a24)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]) ).

cnf(c_0_387,negated_conjecture,
    ( epred3_0
    | c3_1(a24)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_313]),c_0_339]) ).

cnf(c_0_388,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp14
    | hskp2
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_285])]) ).

fof(c_0_389,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_390,negated_conjecture,
    ( hskp26
    | hskp27
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_25 ).

fof(c_0_391,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( hskp5
        | c0_1(X2)
        | c2_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_392,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp6 ),
    i_0_126 ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    i_0_125 ).

cnf(c_0_394,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp16
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_285])]) ).

cnf(c_0_395,negated_conjecture,
    ( c0_1(a8)
    | ~ hskp6 ),
    i_0_127 ).

fof(c_0_396,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( hskp6
        | c0_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_397,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp7
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_285])]) ).

cnf(c_0_398,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    i_0_107 ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    i_0_105 ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a19) ),
    i_0_106 ).

cnf(c_0_401,negated_conjecture,
    ( epred4_0
    | ~ c0_1(a42)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_334]),c_0_332]) ).

cnf(c_0_402,negated_conjecture,
    ( epred24_0
    | c0_1(a42)
    | hskp11
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_334]),c_0_332]) ).

cnf(c_0_403,negated_conjecture,
    ( epred14_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_345]) ).

cnf(c_0_404,negated_conjecture,
    ( c1_1(a30)
    | ~ hskp16 ),
    i_0_87 ).

cnf(c_0_405,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a30) ),
    i_0_86 ).

cnf(c_0_406,negated_conjecture,
    ( epred39_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_346]),c_0_285])]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a30) ),
    i_0_85 ).

cnf(c_0_408,negated_conjecture,
    ( hskp9
    | hskp24
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    i_0_8 ).

cnf(c_0_409,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp25
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_285])]) ).

cnf(c_0_410,negated_conjecture,
    ( hskp2
    | hskp3
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_33 ).

cnf(c_0_411,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a37) ),
    i_0_69 ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    i_0_70 ).

cnf(c_0_413,negated_conjecture,
    ( epred18_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_348]) ).

cnf(c_0_414,negated_conjecture,
    ( c3_1(X1)
    | hskp26
    | hskp20
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_285])]) ).

cnf(c_0_415,negated_conjecture,
    ( epred30_0
    | ~ c2_1(a32)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_350]),c_0_316]) ).

cnf(c_0_416,negated_conjecture,
    ( epred29_0
    | epred3_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_417,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355]),c_0_356]) ).

cnf(c_0_418,negated_conjecture,
    ( epred40_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]),c_0_360]) ).

cnf(c_0_419,negated_conjecture,
    ( epred29_0
    | hskp9
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_361,c_0_362]) ).

cnf(c_0_420,negated_conjecture,
    ( epred27_0
    | ~ c2_1(a11)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_363]),c_0_364]) ).

cnf(c_0_421,negated_conjecture,
    ( epred36_0
    | c2_1(a11)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_363]),c_0_366]) ).

cnf(c_0_422,negated_conjecture,
    ( epred27_0
    | epred5_0
    | hskp27
    | hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_305,c_0_367]) ).

cnf(c_0_423,negated_conjecture,
    ( epred32_0
    | epred5_0
    | hskp27
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_424,negated_conjecture,
    ( c1_1(a9)
    | ~ hskp25 ),
    i_0_50 ).

cnf(c_0_425,negated_conjecture,
    ( c0_1(a9)
    | ~ hskp25 ),
    i_0_51 ).

cnf(c_0_426,negated_conjecture,
    ( c2_1(a9)
    | ~ hskp25 ),
    i_0_49 ).

cnf(c_0_427,negated_conjecture,
    ( epred9_0
    | epred6_0
    | hskp4
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_428,negated_conjecture,
    ( hskp17
    | hskp21
    | hskp25 ),
    i_0_5 ).

cnf(c_0_429,negated_conjecture,
    ( epred6_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_331]),c_0_373]),c_0_374]) ).

cnf(c_0_430,negated_conjecture,
    ( epred10_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]),c_0_378]) ).

cnf(c_0_431,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp17 ),
    i_0_3 ).

cnf(c_0_432,negated_conjecture,
    ( epred28_0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_379]),c_0_285])]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    i_0_109 ).

cnf(c_0_434,negated_conjecture,
    ( epred25_0
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_380]) ).

cnf(c_0_435,negated_conjecture,
    ( c0_1(a18)
    | ~ hskp10 ),
    i_0_111 ).

cnf(c_0_436,negated_conjecture,
    ( c2_1(a18)
    | ~ hskp10 ),
    i_0_110 ).

cnf(c_0_437,negated_conjecture,
    ( epred23_0
    | hskp10
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_332]),c_0_334]),c_0_330]) ).

cnf(c_0_438,negated_conjecture,
    ( epred38_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_382]) ).

cnf(c_0_439,negated_conjecture,
    ( epred7_0
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_383]),c_0_285])]) ).

fof(c_0_440,plain,
    ( ~ epred34_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_441,negated_conjecture,
    ( epred33_0
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_384]),c_0_285])]) ).

cnf(c_0_442,negated_conjecture,
    ( c3_1(a33)
    | ~ hskp19 ),
    i_0_74 ).

cnf(c_0_443,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp19 ),
    i_0_75 ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a33) ),
    i_0_73 ).

cnf(c_0_445,negated_conjecture,
    ( epred26_0
    | c2_1(X1)
    | hskp19
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_285])]) ).

cnf(c_0_446,negated_conjecture,
    ( c1_1(a6)
    | ~ hskp4 ),
    i_0_135 ).

cnf(c_0_447,negated_conjecture,
    ( c3_1(a6)
    | ~ hskp4 ),
    i_0_134 ).

cnf(c_0_448,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a6) ),
    i_0_133 ).

cnf(c_0_449,negated_conjecture,
    ( c1_1(a4)
    | ~ hskp2 ),
    i_0_143 ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a4) ),
    i_0_141 ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a4) ),
    i_0_142 ).

cnf(c_0_452,negated_conjecture,
    ( epred8_0
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_453,negated_conjecture,
    ( hskp14
    | hskp2
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_377]),c_0_378]),c_0_375]) ).

cnf(c_0_454,negated_conjecture,
    ( epred1_0
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_389]),c_0_285])]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a24) ),
    i_0_94 ).

cnf(c_0_456,negated_conjecture,
    ( c0_1(X1)
    | hskp27
    | hskp26
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_285])]) ).

cnf(c_0_457,negated_conjecture,
    ( c1_1(a7)
    | ~ hskp5 ),
    i_0_131 ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a7) ),
    i_0_129 ).

cnf(c_0_459,negated_conjecture,
    ( c3_1(a7)
    | ~ hskp5 ),
    i_0_130 ).

cnf(c_0_460,negated_conjecture,
    ( epred15_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_391]),c_0_285])]) ).

cnf(c_0_461,negated_conjecture,
    ( epred36_0
    | ~ c3_1(a8)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_392]),c_0_393]) ).

cnf(c_0_462,negated_conjecture,
    ( c3_1(a8)
    | hskp26
    | hskp16
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_393]) ).

cnf(c_0_463,negated_conjecture,
    ( hskp8
    | hskp9
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_23 ).

fof(c_0_464,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_465,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_466,negated_conjecture,
    ( hskp6
    | hskp10
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_6 ).

cnf(c_0_467,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp6
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_396]),c_0_285])]) ).

cnf(c_0_468,negated_conjecture,
    ( epred4_0
    | ~ c2_1(a11)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_366]),c_0_364]) ).

cnf(c_0_469,negated_conjecture,
    ( c2_1(a11)
    | hskp18
    | hskp17
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_366]),c_0_364]) ).

cnf(c_0_470,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp26 ),
    i_0_45 ).

cnf(c_0_471,negated_conjecture,
    ( c0_1(a10)
    | ~ hskp26 ),
    i_0_47 ).

cnf(c_0_472,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp26 ),
    i_0_46 ).

fof(c_0_473,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( hskp24
        | c3_1(X2)
        | c0_1(X2)
        | c1_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_474,negated_conjecture,
    ( hskp7
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_399]),c_0_400]) ).

cnf(c_0_475,negated_conjecture,
    ( epred24_0
    | epred4_0
    | hskp11
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

fof(c_0_476,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_477,negated_conjecture,
    ( epred14_0
    | ~ c3_1(a30)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_405]) ).

cnf(c_0_478,negated_conjecture,
    ( epred39_0
    | c3_1(a30)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_404]),c_0_407]) ).

cnf(c_0_479,negated_conjecture,
    ( c2_1(X1)
    | hskp24
    | hskp9
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_408,c_0_285])]) ).

cnf(c_0_480,negated_conjecture,
    ( epred6_0
    | ~ c0_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_331]),c_0_398]) ).

cnf(c_0_481,negated_conjecture,
    ( c0_1(a19)
    | hskp26
    | hskp25
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_398]),c_0_399]) ).

fof(c_0_482,plain,
    ( ~ epred31_0
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c1_1(X3)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_483,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp3
    | hskp2
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_285])]) ).

cnf(c_0_484,negated_conjecture,
    ( epred30_0
    | ~ c2_1(a37)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_350]),c_0_412]) ).

cnf(c_0_485,negated_conjecture,
    ( epred29_0
    | c2_1(a37)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_315]),c_0_412]) ).

cnf(c_0_486,negated_conjecture,
    ( epred18_0
    | ~ c3_1(a31)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_413]),c_0_373]) ).

cnf(c_0_487,negated_conjecture,
    ( c3_1(a31)
    | hskp26
    | hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_374]),c_0_373]) ).

cnf(c_0_488,negated_conjecture,
    ( epred30_0
    | epred29_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_415,c_0_352]) ).

cnf(c_0_489,negated_conjecture,
    ( epred3_0
    | c3_1(a31)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_313]),c_0_374]) ).

cnf(c_0_490,negated_conjecture,
    ( epred29_0
    | epred3_0
    | hskp17
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_491,negated_conjecture,
    ( epred40_0
    | epred29_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_492,negated_conjecture,
    ( hskp0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    i_0_39 ).

cnf(c_0_493,negated_conjecture,
    ( epred36_0
    | epred27_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_420,c_0_421]) ).

cnf(c_0_494,negated_conjecture,
    ( epred32_0
    | epred27_0
    | epred5_0
    | hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_422]),c_0_423]) ).

cnf(c_0_495,negated_conjecture,
    ( epred27_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_424]),c_0_425]),c_0_426]) ).

cnf(c_0_496,negated_conjecture,
    ( epred9_0
    | epred6_0
    | hskp25
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_429]) ).

cnf(c_0_497,negated_conjecture,
    ( epred10_0
    | hskp17
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_430,c_0_431]) ).

fof(c_0_498,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( hskp13
        | c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_499,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_500,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( c3_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_501,negated_conjecture,
    ( epred39_0
    | epred28_0
    | c2_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_406,c_0_432]) ).

cnf(c_0_502,negated_conjecture,
    ( epred23_0
    | hskp10
    | ~ c3_1(a31)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_374]),c_0_372]) ).

cnf(c_0_503,negated_conjecture,
    ( epred25_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_435]),c_0_436]) ).

cnf(c_0_504,negated_conjecture,
    ( epred23_0
    | hskp25
    | hskp17
    | hskp10 ),
    inference(spm,[status(thm)],[c_0_437,c_0_428]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    i_0_145 ).

cnf(c_0_506,negated_conjecture,
    ( c2_1(a2)
    | ~ hskp1 ),
    i_0_147 ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    i_0_146 ).

cnf(c_0_508,negated_conjecture,
    ( epred38_0
    | epred7_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_509,negated_conjecture,
    ( epred34_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_440]) ).

cnf(c_0_510,negated_conjecture,
    ( epred33_0
    | ~ c0_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_441]),c_0_399]) ).

cnf(c_0_511,negated_conjecture,
    ( epred30_0
    | c0_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_350]),c_0_398]) ).

cnf(c_0_512,negated_conjecture,
    ( epred24_0
    | hskp11
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_442]),c_0_443]),c_0_444]) ).

cnf(c_0_513,negated_conjecture,
    ( epred26_0
    | hskp19
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_446]),c_0_447]),c_0_448]) ).

cnf(c_0_514,negated_conjecture,
    ( epred39_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_449]),c_0_450]),c_0_451]) ).

cnf(c_0_515,negated_conjecture,
    ( epred8_0
    | epred3_0
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_452,c_0_453]) ).

cnf(c_0_516,negated_conjecture,
    ( epred8_0
    | ~ c3_1(a31)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_338]),c_0_374]) ).

cnf(c_0_517,negated_conjecture,
    ( c1_1(a37)
    | ~ hskp20 ),
    i_0_71 ).

cnf(c_0_518,negated_conjecture,
    ( epred23_0
    | hskp10
    | ~ c3_1(a24)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_339]),c_0_337]) ).

cnf(c_0_519,negated_conjecture,
    ( epred1_0
    | c3_1(a24)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_454]),c_0_455]) ).

cnf(c_0_520,negated_conjecture,
    ( hskp27
    | hskp26
    | ~ c2_1(a7)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_458]) ).

cnf(c_0_521,negated_conjecture,
    ( epred36_0
    | c2_1(a7)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_457]),c_0_459]) ).

cnf(c_0_522,negated_conjecture,
    ( epred15_0
    | hskp5
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_404]),c_0_405]),c_0_407]) ).

cnf(c_0_523,negated_conjecture,
    ( epred36_0
    | hskp26
    | hskp16
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_524,negated_conjecture,
    ( c0_1(X1)
    | hskp9
    | hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_285])]) ).

cnf(c_0_525,negated_conjecture,
    ( epred37_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_464]),c_0_285])]) ).

cnf(c_0_526,negated_conjecture,
    ( hskp6
    | hskp26
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    i_0_14 ).

cnf(c_0_527,negated_conjecture,
    ( epred16_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_465]) ).

cnf(c_0_528,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_285])]) ).

cnf(c_0_529,negated_conjecture,
    ( epred29_0
    | epred21_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_467,c_0_315]) ).

cnf(c_0_530,negated_conjecture,
    ( hskp7
    | hskp27
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    i_0_24 ).

cnf(c_0_531,negated_conjecture,
    ( hskp26
    | hskp20
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_436]),c_0_435]),c_0_433]) ).

cnf(c_0_532,negated_conjecture,
    ( epred1_0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_454]),c_0_314]),c_0_316]) ).

cnf(c_0_533,negated_conjecture,
    ( epred4_0
    | hskp18
    | hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_468,c_0_469]) ).

cnf(c_0_534,negated_conjecture,
    ( epred4_0
    | ~ c0_1(a3)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_301]),c_0_300]) ).

cnf(c_0_535,negated_conjecture,
    ( c0_1(a3)
    | hskp27
    | hskp26
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_299]),c_0_300]) ).

cnf(c_0_536,negated_conjecture,
    ( epred4_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_470]),c_0_471]),c_0_472]) ).

cnf(c_0_537,negated_conjecture,
    ( epred11_0
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp24 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_473]),c_0_285])]) ).

cnf(c_0_538,negated_conjecture,
    ( epred24_0
    | epred4_0
    | hskp7
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_474,c_0_475]) ).

cnf(c_0_539,negated_conjecture,
    ( epred24_0
    | hskp11
    | ~ c2_1(a7)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_459]),c_0_458]) ).

cnf(c_0_540,negated_conjecture,
    ( epred26_0
    | c2_1(a7)
    | hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_457]),c_0_459]) ).

fof(c_0_541,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( hskp15
        | c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_542,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( hskp4
        | c3_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_543,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_544,negated_conjecture,
    ( epred2_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_476]) ).

cnf(c_0_545,negated_conjecture,
    ( epred39_0
    | epred14_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_546,negated_conjecture,
    ( hskp26
    | hskp16
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_359]),c_0_357]),c_0_360]) ).

cnf(c_0_547,negated_conjecture,
    ( hskp24
    | hskp9
    | ~ c3_1(a8)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_392]),c_0_393]) ).

cnf(c_0_548,negated_conjecture,
    ( epred39_0
    | c3_1(a8)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_392]),c_0_393]) ).

cnf(c_0_549,negated_conjecture,
    ( epred6_0
    | hskp26
    | hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_550,negated_conjecture,
    ( epred24_0
    | epred6_0
    | hskp11
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_370,c_0_402]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a5) ),
    i_0_137 ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a5) ),
    i_0_138 ).

cnf(c_0_553,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    i_0_139 ).

cnf(c_0_554,negated_conjecture,
    ( epred31_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_482]),c_0_285])]) ).

cnf(c_0_555,negated_conjecture,
    ( hskp3
    | hskp2
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_339]),c_0_455]),c_0_337]) ).

cnf(c_0_556,negated_conjecture,
    ( epred30_0
    | epred29_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_484,c_0_485]) ).

cnf(c_0_557,negated_conjecture,
    ( epred18_0
    | hskp26
    | hskp20
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_486,c_0_487]) ).

cnf(c_0_558,negated_conjecture,
    ( epred30_0
    | epred29_0
    | hskp17
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_488,c_0_417]) ).

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

cnf(c_0_560,negated_conjecture,
    ( epred18_0
    | epred3_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_486,c_0_489]) ).

cnf(c_0_561,negated_conjecture,
    ( epred40_0
    | epred29_0
    | epred3_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_490,c_0_491]) ).

cnf(c_0_562,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_492,c_0_286]),c_0_306]) ).

cnf(c_0_563,negated_conjecture,
    ( epred36_0
    | epred32_0
    | epred27_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_494]) ).

cnf(c_0_564,negated_conjecture,
    ( epred36_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_446]),c_0_447]),c_0_448]) ).

cnf(c_0_565,negated_conjecture,
    ( epred27_0
    | epred9_0
    | epred6_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_495,c_0_496]) ).

cnf(c_0_566,negated_conjecture,
    ( epred10_0
    | epred6_0
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_429,c_0_497]) ).

cnf(c_0_567,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ c0_1(a6)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_447]),c_0_448]) ).

cnf(c_0_568,negated_conjecture,
    ( epred14_0
    | c0_1(a6)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_446]),c_0_447]) ).

cnf(c_0_569,negated_conjecture,
    ( epred17_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp13
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_498]),c_0_285])]) ).

cnf(c_0_570,negated_conjecture,
    ( epred35_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_499]) ).

cnf(c_0_571,negated_conjecture,
    ( epred12_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_500]) ).

cnf(c_0_572,negated_conjecture,
    ( epred28_0
    | c2_1(a32)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_432]),c_0_314]) ).

cnf(c_0_573,negated_conjecture,
    ( epred39_0
    | epred28_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_501]),c_0_321]) ).

cnf(c_0_574,negated_conjecture,
    ( epred24_0
    | hskp11
    | ~ c2_1(a53)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_289]),c_0_290]) ).

cnf(c_0_575,negated_conjecture,
    ( epred23_0
    | epred3_0
    | hskp10
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_502,c_0_489]) ).

cnf(c_0_576,negated_conjecture,
    ( epred25_0
    | epred23_0
    | hskp25
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_503,c_0_504]) ).

cnf(c_0_577,negated_conjecture,
    ( epred25_0
    | epred4_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_343,c_0_434]) ).

cnf(c_0_578,negated_conjecture,
    ( epred30_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_350]),c_0_506]),c_0_507]) ).

cnf(c_0_579,negated_conjecture,
    ( epred38_0
    | epred7_0
    | hskp1
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_508]),c_0_320]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a45) ),
    i_0_62 ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a45) ),
    i_0_61 ).

cnf(c_0_582,negated_conjecture,
    ( c0_1(a45)
    | ~ hskp22 ),
    i_0_63 ).

cnf(c_0_583,negated_conjecture,
    ( epred34_0
    | c0_1(a42)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_509]),c_0_332]) ).

fof(c_0_584,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_585,negated_conjecture,
    ( epred33_0
    | epred30_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_586,negated_conjecture,
    ( epred26_0
    | epred24_0
    | hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_512,c_0_513]) ).

cnf(c_0_587,negated_conjecture,
    ( epred39_0
    | epred8_0
    | epred3_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_588,negated_conjecture,
    ( epred8_0
    | epred3_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_516,c_0_489]) ).

cnf(c_0_589,negated_conjecture,
    ( epred38_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_517]),c_0_411]),c_0_412]) ).

cnf(c_0_590,negated_conjecture,
    ( epred23_0
    | epred1_0
    | hskp10
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_518,c_0_519]) ).

cnf(c_0_591,negated_conjecture,
    ( epred36_0
    | hskp27
    | hskp26
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_592,negated_conjecture,
    ( epred36_0
    | epred15_0
    | hskp26
    | hskp5
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_522,c_0_523]) ).

cnf(c_0_593,negated_conjecture,
    ( epred37_0
    | c0_1(X1)
    | hskp9
    | hskp8
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_594,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp6
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_526,c_0_285])]) ).

cnf(c_0_595,negated_conjecture,
    ( epred16_0
    | epred3_0
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_527,c_0_313]) ).

cnf(c_0_596,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ c0_1(a3)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_299]),c_0_300]) ).

cnf(c_0_597,negated_conjecture,
    ( c0_1(a3)
    | hskp9
    | hskp8
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_299]),c_0_300]) ).

cnf(c_0_598,negated_conjecture,
    ( epred29_0
    | epred21_0
    | hskp6
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_529]),c_0_407]) ).

cnf(c_0_599,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ c2_1(a11)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_363]),c_0_364]) ).

cnf(c_0_600,negated_conjecture,
    ( c2_1(a11)
    | hskp24
    | hskp9
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_363]),c_0_366]) ).

cnf(c_0_601,negated_conjecture,
    ( c0_1(X1)
    | hskp27
    | hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_285])]) ).

cnf(c_0_602,negated_conjecture,
    ( epred5_0
    | c2_1(a32)
    | hskp0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_292]),c_0_316]) ).

cnf(c_0_603,negated_conjecture,
    ( epred21_0
    | c0_1(a6)
    | hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_447]),c_0_448]) ).

cnf(c_0_604,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c2_1(a7)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_457]),c_0_458]) ).

cnf(c_0_605,negated_conjecture,
    ( c2_1(a7)
    | hskp24
    | hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_457]),c_0_459]) ).

cnf(c_0_606,negated_conjecture,
    ( epred40_0
    | ~ c0_1(a4)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_358]),c_0_451]) ).

cnf(c_0_607,negated_conjecture,
    ( epred15_0
    | c0_1(a4)
    | hskp5
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_449]),c_0_451]) ).

cnf(c_0_608,negated_conjecture,
    ( epred23_0
    | hskp26
    | hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_487]),c_0_531]) ).

cnf(c_0_609,negated_conjecture,
    ( epred4_0
    | epred1_0
    | hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_532,c_0_533]) ).

cnf(c_0_610,negated_conjecture,
    ( epred4_0
    | hskp27
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_536]) ).

cnf(c_0_611,negated_conjecture,
    ( epred11_0
    | hskp24
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_537]),c_0_314]),c_0_316]) ).

cnf(c_0_612,negated_conjecture,
    ( epred24_0
    | epred4_0
    | hskp25
    | hskp17
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_538,c_0_428]) ).

cnf(c_0_613,negated_conjecture,
    ( hskp26
    | hskp20
    | ~ c0_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_398]),c_0_399]) ).

cnf(c_0_614,negated_conjecture,
    ( epred11_0
    | c0_1(a19)
    | hskp24
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_537]),c_0_399]) ).

cnf(c_0_615,negated_conjecture,
    ( epred3_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_313]),c_0_398]),c_0_399]) ).

cnf(c_0_616,negated_conjecture,
    ( epred26_0
    | epred24_0
    | hskp11
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_512]) ).

cnf(c_0_617,negated_conjecture,
    ( epred19_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp15
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_541]),c_0_285])]) ).

cnf(c_0_618,negated_conjecture,
    ( epred13_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp4
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_542]),c_0_285])]) ).

cnf(c_0_619,negated_conjecture,
    ( epred36_0
    | epred10_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_365,c_0_376]) ).

cnf(c_0_620,negated_conjecture,
    ( epred39_0
    | epred10_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_406,c_0_376]) ).

cnf(c_0_621,negated_conjecture,
    ( epred22_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_543]) ).

cnf(c_0_622,negated_conjecture,
    ( epred8_0
    | epred2_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_544,c_0_338]) ).

cnf(c_0_623,negated_conjecture,
    ( epred3_0
    | epred2_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_544,c_0_313]) ).

cnf(c_0_624,negated_conjecture,
    ( epred11_0
    | c3_1(a24)
    | hskp24
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_537]),c_0_455]) ).

cnf(c_0_625,negated_conjecture,
    ( epred30_0
    | epred24_0
    | c0_1(X1)
    | hskp11
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_344,c_0_350]) ).

cnf(c_0_626,negated_conjecture,
    ( epred14_0
    | c0_1(a3)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_299]),c_0_301]) ).

cnf(c_0_627,negated_conjecture,
    ( epred39_0
    | epred14_0
    | hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_545,c_0_546]) ).

cnf(c_0_628,negated_conjecture,
    ( epred39_0
    | hskp24
    | hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_547,c_0_548]) ).

cnf(c_0_629,negated_conjecture,
    ( epred24_0
    | epred6_0
    | hskp26
    | hskp25
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_549,c_0_550]) ).

cnf(c_0_630,negated_conjecture,
    ( epred27_0
    | epred6_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_298,c_0_331]) ).

cnf(c_0_631,negated_conjecture,
    ( epred40_0
    | ~ c0_1(a5)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_358]),c_0_552]) ).

cnf(c_0_632,negated_conjecture,
    ( epred31_0
    | c0_1(a5)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_554]),c_0_552]) ).

cnf(c_0_633,negated_conjecture,
    ( epred29_0
    | c0_1(a5)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_315]),c_0_552]) ).

cnf(c_0_634,negated_conjecture,
    ( epred29_0
    | c0_1(a4)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_315]),c_0_451]) ).

cnf(c_0_635,negated_conjecture,
    ( epred28_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_432]),c_0_551]),c_0_552]) ).

cnf(c_0_636,negated_conjecture,
    ( hskp3
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_555,c_0_453]) ).

cnf(c_0_637,negated_conjecture,
    ( epred24_0
    | c0_1(a3)
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_301]),c_0_300]) ).

cnf(c_0_638,negated_conjecture,
    ( epred37_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_525]),c_0_339]),c_0_455]) ).

cnf(c_0_639,negated_conjecture,
    ( epred18_0
    | ~ c3_1(a15)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_413]),c_0_377]) ).

cnf(c_0_640,negated_conjecture,
    ( c3_1(a15)
    | hskp26
    | hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_377]),c_0_378]) ).

cnf(c_0_641,negated_conjecture,
    ( epred30_0
    | epred29_0
    | epred18_0
    | hskp26
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_556,c_0_557]) ).

cnf(c_0_642,negated_conjecture,
    ( epred40_0
    | epred30_0
    | epred29_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_558,c_0_491]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_559,c_0_296]),c_0_309]) ).

cnf(c_0_644,negated_conjecture,
    ( epred40_0
    | epred29_0
    | epred18_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_561]) ).

cnf(c_0_645,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    i_0_32 ).

cnf(c_0_646,negated_conjecture,
    ( epred36_0
    | epred32_0
    | epred27_0
    | ~ epred6_0 ),
    inference(spm,[status(thm)],[c_0_562,c_0_563]) ).

cnf(c_0_647,negated_conjecture,
    ( epred36_0
    | epred27_0
    | epred9_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_564,c_0_565]) ).

cnf(c_0_648,negated_conjecture,
    ( epred36_0
    | epred10_0
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_564,c_0_566]) ).

cnf(c_0_649,negated_conjecture,
    ( epred14_0
    | hskp18
    | hskp17
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_567,c_0_568]) ).

cnf(c_0_650,negated_conjecture,
    ( epred17_0
    | hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_377]),c_0_378]),c_0_375]) ).

cnf(c_0_651,negated_conjecture,
    ( epred36_0
    | ~ c3_1(a30)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_404]),c_0_407]) ).

cnf(c_0_652,negated_conjecture,
    ( epred35_0
    | c3_1(a30)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_404]),c_0_407]) ).

cnf(c_0_653,negated_conjecture,
    ( epred32_0
    | c0_1(a6)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_447]),c_0_448]) ).

cnf(c_0_654,negated_conjecture,
    ( epred33_0
    | epred12_0
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_571,c_0_441]) ).

cnf(c_0_655,negated_conjecture,
    ( epred12_0
    | c3_1(a8)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_392]),c_0_395]) ).

cnf(c_0_656,negated_conjecture,
    ( c0_1(a42)
    | hskp27
    | hskp12
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_334]),c_0_332]) ).

cnf(c_0_657,negated_conjecture,
    ( epred28_0
    | epred3_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_351,c_0_572]) ).

cnf(c_0_658,negated_conjecture,
    ( epred39_0
    | epred28_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_501]),c_0_360]) ).

cnf(c_0_659,negated_conjecture,
    ( epred39_0
    | epred28_0
    | hskp9
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_573,c_0_362]) ).

cnf(c_0_660,negated_conjecture,
    ( epred24_0
    | epred5_0
    | hskp11
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_574,c_0_304]) ).

cnf(c_0_661,negated_conjecture,
    ( epred1_0
    | c0_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_454]),c_0_399]) ).

cnf(c_0_662,negated_conjecture,
    ( epred25_0
    | epred23_0
    | epred3_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_503,c_0_575]) ).

cnf(c_0_663,negated_conjecture,
    ( epred27_0
    | epred25_0
    | epred23_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_495,c_0_576]) ).

cnf(c_0_664,negated_conjecture,
    ( epred25_0
    | epred4_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_425]),c_0_426]) ).

cnf(c_0_665,negated_conjecture,
    ( epred25_0
    | epred4_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_373]),c_0_374]) ).

cnf(c_0_666,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X1) ),
    i_0_12 ).

cnf(c_0_667,negated_conjecture,
    ( epred38_0
    | epred30_0
    | epred7_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_578,c_0_579]) ).

cnf(c_0_668,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a25) ),
    i_0_89 ).

cnf(c_0_669,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp15 ),
    i_0_91 ).

cnf(c_0_670,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp15 ),
    i_0_90 ).

cnf(c_0_671,negated_conjecture,
    ( epred37_0
    | ~ c2_1(a53)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_525]),c_0_290]) ).

cnf(c_0_672,negated_conjecture,
    ( epred32_0
    | c2_1(a53)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_289]),c_0_290]) ).

cnf(c_0_673,negated_conjecture,
    ( epred3_0
    | ~ c2_1(a45)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_313]),c_0_581]) ).

cnf(c_0_674,negated_conjecture,
    ( epred40_0
    | c2_1(a45)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_358]),c_0_582]) ).

cnf(c_0_675,negated_conjecture,
    ( epred34_0
    | epred4_0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_401,c_0_583]) ).

cnf(c_0_676,negated_conjecture,
    ( epred34_0
    | ~ c2_1(a53)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_509]),c_0_290]) ).

cnf(c_0_677,negated_conjecture,
    ( epred20_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_584]) ).

cnf(c_0_678,negated_conjecture,
    ( epred33_0
    | epred30_0
    | epred26_0
    | epred24_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_585,c_0_586]) ).

cnf(c_0_679,negated_conjecture,
    ( epred39_0
    | epred8_0
    | epred3_0
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_431]),c_0_588]) ).

cnf(c_0_680,negated_conjecture,
    ( epred38_0
    | hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_589,c_0_531]) ).

cnf(c_0_681,negated_conjecture,
    ( epred23_0
    | epred1_0
    | hskp10
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_590,c_0_453]) ).

cnf(c_0_682,negated_conjecture,
    ( epred36_0
    | epred4_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_468,c_0_421]) ).

cnf(c_0_683,negated_conjecture,
    ( epred36_0
    | epred15_0
    | hskp27
    | hskp26
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_591,c_0_592]) ).

cnf(c_0_684,negated_conjecture,
    ( c1_1(a33)
    | hskp3
    | hskp2
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_443]),c_0_444]) ).

cnf(c_0_685,negated_conjecture,
    ( epred37_0
    | hskp9
    | hskp8
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_443]),c_0_444]) ).

cnf(c_0_686,negated_conjecture,
    ( c1_1(a14)
    | hskp14
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_355]),c_0_356]) ).

cnf(c_0_687,negated_conjecture,
    ( c1_1(a16)
    | hskp14
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_359]),c_0_360]) ).

cnf(c_0_688,negated_conjecture,
    ( c2_1(a45)
    | hskp14
    | hskp2
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_582]),c_0_580]) ).

cnf(c_0_689,negated_conjecture,
    ( c3_1(a24)
    | hskp26
    | hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_339]),c_0_337]) ).

cnf(c_0_690,negated_conjecture,
    ( epred16_0
    | epred3_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_595]),c_0_436]) ).

cnf(c_0_691,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8
    | hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_596,c_0_597]) ).

cnf(c_0_692,negated_conjecture,
    ( epred29_0
    | epred21_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp26
    | hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_529]),c_0_598]) ).

cnf(c_0_693,negated_conjecture,
    ( c2_1(a45)
    | hskp26
    | hskp16
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_582]),c_0_581]) ).

cnf(c_0_694,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp9
    | hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_599,c_0_600]) ).

cnf(c_0_695,negated_conjecture,
    ( c0_1(a3)
    | hskp27
    | hskp7
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_299]),c_0_300]) ).

cnf(c_0_696,negated_conjecture,
    ( epred5_0
    | epred3_0
    | hskp0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_351,c_0_602]) ).

cnf(c_0_697,negated_conjecture,
    ( epred21_0
    | hskp18
    | hskp17
    | hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_567,c_0_603]) ).

cnf(c_0_698,negated_conjecture,
    ( epred7_0
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_439]),c_0_314]),c_0_316]) ).

cnf(c_0_699,negated_conjecture,
    ( epred8_0
    | c0_1(X1)
    | hskp9
    | hskp8
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_524,c_0_338]) ).

cnf(c_0_700,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp8
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_604,c_0_605]) ).

cnf(c_0_701,negated_conjecture,
    ( epred40_0
    | epred15_0
    | hskp5
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_606,c_0_607]) ).

cnf(c_0_702,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp24
    | hskp9
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_479,c_0_554]) ).

cnf(c_0_703,negated_conjecture,
    ( epred39_0
    | epred31_0
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_406,c_0_554]) ).

cnf(c_0_704,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | hskp24
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_479,c_0_413]) ).

cnf(c_0_705,negated_conjecture,
    ( epred10_0
    | c2_1(X1)
    | hskp24
    | hskp9
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_479,c_0_376]) ).

cnf(c_0_706,negated_conjecture,
    ( epred38_0
    | epred23_0
    | hskp26
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_589,c_0_608]) ).

cnf(c_0_707,negated_conjecture,
    ( epred4_0
    | epred1_0
    | hskp17
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_609,c_0_610]) ).

cnf(c_0_708,negated_conjecture,
    ( epred11_0
    | hskp24
    | hskp17
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_611,c_0_417]) ).

cnf(c_0_709,negated_conjecture,
    ( epred27_0
    | epred24_0
    | epred4_0
    | hskp17
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_495,c_0_612]) ).

cnf(c_0_710,negated_conjecture,
    ( epred26_0
    | epred24_0
    | hskp7
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_474,c_0_586]) ).

cnf(c_0_711,negated_conjecture,
    ( epred11_0
    | hskp26
    | hskp24
    | hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_613,c_0_614]) ).

cnf(c_0_712,negated_conjecture,
    ( c3_1(a9)
    | hskp26
    | hskp20
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_426]),c_0_425]) ).

cnf(c_0_713,negated_conjecture,
    ( epred8_0
    | hskp10
    | hskp6
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_528,c_0_338]) ).

cnf(c_0_714,negated_conjecture,
    ( epred26_0
    | epred24_0
    | epred3_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_615,c_0_616]) ).

cnf(c_0_715,negated_conjecture,
    ( epred39_0
    | epred7_0
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_406,c_0_439]) ).

cnf(c_0_716,negated_conjecture,
    ( epred31_0
    | epred26_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp19
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_445,c_0_554]) ).

cnf(c_0_717,negated_conjecture,
    ( epred26_0
    | hskp19
    | ~ c3_1(a8)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_392]),c_0_393]) ).

cnf(c_0_718,negated_conjecture,
    ( epred26_0
    | hskp19
    | ~ c3_1(a30)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_404]),c_0_407]) ).

cnf(c_0_719,negated_conjecture,
    ( epred23_0
    | c1_1(a33)
    | hskp10
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_443]),c_0_442]) ).

cnf(c_0_720,negated_conjecture,
    ( epred40_0
    | epred19_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp15
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_617,c_0_358]) ).

cnf(c_0_721,negated_conjecture,
    ( epred19_0
    | c1_1(a1)
    | hskp15
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_326]),c_0_328]) ).

cnf(c_0_722,negated_conjecture,
    ( epred17_0
    | c1_1(a14)
    | hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_355]),c_0_356]) ).

cnf(c_0_723,negated_conjecture,
    ( epred17_0
    | c1_1(a16)
    | hskp13
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_359]),c_0_360]) ).

cnf(c_0_724,negated_conjecture,
    ( epred15_0
    | epred7_0
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp5
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_460,c_0_439]) ).

cnf(c_0_725,negated_conjecture,
    ( epred13_0
    | c3_1(a31)
    | hskp4
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_373]),c_0_372]) ).

cnf(c_0_726,negated_conjecture,
    ( epred39_0
    | epred33_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_406,c_0_441]) ).

cnf(c_0_727,negated_conjecture,
    ( epred39_0
    | epred36_0
    | epred10_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_619,c_0_620]) ).

cnf(c_0_728,negated_conjecture,
    ( epred7_0
    | c0_1(a5)
    | hskp1
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_439]),c_0_551]) ).

cnf(c_0_729,negated_conjecture,
    ( epred30_0
    | epred9_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp4
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_333,c_0_350]) ).

cnf(c_0_730,negated_conjecture,
    ( epred9_0
    | c1_1(a1)
    | hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_326]),c_0_327]) ).

cnf(c_0_731,negated_conjecture,
    ( epred9_0
    | c1_1(a33)
    | hskp4
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_442]),c_0_444]) ).

cnf(c_0_732,negated_conjecture,
    ( epred35_0
    | epred33_0
    | c2_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_570,c_0_441]) ).

cnf(c_0_733,negated_conjecture,
    ( epred33_0
    | c3_1(a15)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_441]),c_0_377]) ).

cnf(c_0_734,negated_conjecture,
    ( epred33_0
    | c3_1(a31)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_441]),c_0_373]) ).

cnf(c_0_735,negated_conjecture,
    ( epred38_0
    | epred31_0
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_554]) ).

cnf(c_0_736,negated_conjecture,
    ( epred7_0
    | c3_1(a24)
    | hskp1
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_439]),c_0_455]) ).

cnf(c_0_737,negated_conjecture,
    ( c3_1(a31)
    | hskp7
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_374]),c_0_372]) ).

cnf(c_0_738,negated_conjecture,
    ( epred34_0
    | epred22_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_621,c_0_509]) ).

cnf(c_0_739,negated_conjecture,
    ( epred16_0
    | c3_1(a9)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_424]),c_0_426]) ).

cnf(c_0_740,negated_conjecture,
    ( epred8_0
    | epred3_0
    | epred2_0
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_622,c_0_623]) ).

cnf(c_0_741,negated_conjecture,
    ( epred12_0
    | c3_1(a9)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_424]),c_0_425]) ).

cnf(c_0_742,negated_conjecture,
    ( epred10_0
    | c2_1(a45)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_376]),c_0_582]) ).

cnf(c_0_743,negated_conjecture,
    ( epred11_0
    | epred8_0
    | hskp24
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_386,c_0_624]) ).

cnf(c_0_744,negated_conjecture,
    ( epred30_0
    | epred24_0
    | hskp11
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_339]),c_0_455]) ).

cnf(c_0_745,negated_conjecture,
    ( epred14_0
    | epred4_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_534,c_0_626]) ).

cnf(c_0_746,negated_conjecture,
    ( epred39_0
    | epred14_0
    | hskp26
    | hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_627,c_0_628]) ).

cnf(c_0_747,negated_conjecture,
    ( epred24_0
    | epred6_0
    | hskp26
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_428]),c_0_429]) ).

cnf(c_0_748,negated_conjecture,
    ( epred27_0
    | epred6_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_471]),c_0_472]) ).

cnf(c_0_749,negated_conjecture,
    ( epred40_0
    | epred31_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_631,c_0_632]) ).

cnf(c_0_750,negated_conjecture,
    ( epred40_0
    | epred29_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_631,c_0_633]) ).

cnf(c_0_751,negated_conjecture,
    ( epred40_0
    | epred29_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_606,c_0_634]) ).

cnf(c_0_752,negated_conjecture,
    ( epred28_0
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_635,c_0_636]) ).

cnf(c_0_753,negated_conjecture,
    ( hskp26
    | hskp6
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_398]),c_0_399]),c_0_400]) ).

cnf(c_0_754,negated_conjecture,
    ( epred24_0
    | epred4_0
    | hskp11
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_534,c_0_637]) ).

cnf(c_0_755,negated_conjecture,
    ( epred37_0
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_638,c_0_453]) ).

cnf(c_0_756,negated_conjecture,
    ( epred18_0
    | hskp26
    | hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_639,c_0_640]) ).

cnf(c_0_757,negated_conjecture,
    ( epred40_0
    | epred30_0
    | epred29_0
    | epred18_0
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_641,c_0_642]) ).

cnf(c_0_758,negated_conjecture,
    ( epred40_0
    | epred29_0
    | epred18_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_643,c_0_644]) ).

cnf(c_0_759,negated_conjecture,
    ( epred40_0
    | c2_1(X1)
    | hskp18
    | hskp17
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_353,c_0_358]) ).

cnf(c_0_760,negated_conjecture,
    ( epred27_0
    | hskp24
    | hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_420,c_0_600]) ).

cnf(c_0_761,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_645,c_0_307]),c_0_335]) ).

cnf(c_0_762,negated_conjecture,
    ( epred36_0
    | epred32_0
    | epred27_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_646,c_0_647]) ).

cnf(c_0_763,negated_conjecture,
    ( epred36_0
    | epred32_0
    | epred27_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_646,c_0_648]) ).

cnf(c_0_764,negated_conjecture,
    ( epred29_0
    | epred14_0
    | epred3_0
    | hskp17
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_416,c_0_649]) ).

cnf(c_0_765,negated_conjecture,
    ( epred21_0
    | c2_1(a7)
    | hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_459]),c_0_458]) ).

cnf(c_0_766,negated_conjecture,
    ( epred29_0
    | epred17_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_361,c_0_650]) ).

cnf(c_0_767,negated_conjecture,
    ( epred27_0
    | hskp9
    | hskp8
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_323,c_0_597]) ).

cnf(c_0_768,negated_conjecture,
    ( epred36_0
    | epred35_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_651,c_0_652]) ).

cnf(c_0_769,negated_conjecture,
    ( epred35_0
    | epred14_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_477,c_0_652]) ).

cnf(c_0_770,negated_conjecture,
    ( epred32_0
    | hskp18
    | hskp17
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_567,c_0_653]) ).

cnf(c_0_771,negated_conjecture,
    ( epred27_0
    | hskp18
    | hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_420,c_0_469]) ).

cnf(c_0_772,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c2_1(a37)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_517]),c_0_412]) ).

cnf(c_0_773,negated_conjecture,
    ( epred39_0
    | c2_1(a37)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_517]),c_0_411]) ).

cnf(c_0_774,negated_conjecture,
    ( epred33_0
    | epred12_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_654]),c_0_359]) ).

cnf(c_0_775,negated_conjecture,
    ( hskp24
    | hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_446]),c_0_447]),c_0_448]) ).

cnf(c_0_776,negated_conjecture,
    ( epred12_0
    | hskp24
    | hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_547,c_0_655]) ).

cnf(c_0_777,negated_conjecture,
    ( epred31_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_554]),c_0_294]),c_0_295]) ).

cnf(c_0_778,negated_conjecture,
    ( epred4_0
    | hskp27
    | hskp12
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_401,c_0_656]) ).

cnf(c_0_779,negated_conjecture,
    ( epred28_0
    | epred3_0
    | hskp17
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_657,c_0_417]) ).

cnf(c_0_780,negated_conjecture,
    ( epred39_0
    | epred28_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_658,c_0_659]) ).

cnf(c_0_781,negated_conjecture,
    ( epred30_0
    | hskp26
    | hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_613,c_0_511]) ).

cnf(c_0_782,negated_conjecture,
    ( epred26_0
    | c2_1(a11)
    | hskp19
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_363]),c_0_366]) ).

cnf(c_0_783,negated_conjecture,
    ( epred24_0
    | epred5_0
    | epred3_0
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_615,c_0_660]) ).

cnf(c_0_784,negated_conjecture,
    ( epred33_0
    | epred1_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_510,c_0_661]) ).

cnf(c_0_785,negated_conjecture,
    ( epred27_0
    | epred25_0
    | epred23_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_662,c_0_663]) ).

cnf(c_0_786,negated_conjecture,
    ( epred25_0
    | epred23_0
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_576]),c_0_665]) ).

cnf(c_0_787,negated_conjecture,
    ( ~ epred40_0
    | ~ epred39_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_666,c_0_346]),c_0_318]),c_0_309]) ).

cnf(c_0_788,negated_conjecture,
    ( epred38_0
    | epred30_0
    | epred7_0
    | hskp9
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_667,c_0_362]) ).

cnf(c_0_789,negated_conjecture,
    ( epred25_0
    | ~ c2_1(a25)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_434]),c_0_669]) ).

cnf(c_0_790,negated_conjecture,
    ( epred39_0
    | c2_1(a25)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_670]),c_0_668]) ).

cnf(c_0_791,negated_conjecture,
    ( epred37_0
    | epred5_0
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_671,c_0_304]) ).

cnf(c_0_792,negated_conjecture,
    ( epred37_0
    | epred32_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_671,c_0_672]) ).

cnf(c_0_793,negated_conjecture,
    ( epred9_0
    | hskp4
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_289]),c_0_290]),c_0_291]) ).

cnf(c_0_794,negated_conjecture,
    ( epred33_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_441]),c_0_582]),c_0_581]) ).

cnf(c_0_795,negated_conjecture,
    ( hskp6
    | hskp22
    | hskp26 ),
    i_0_4 ).

cnf(c_0_796,negated_conjecture,
    ( epred33_0
    | ~ c0_1(a5)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_441]),c_0_551]) ).

cnf(c_0_797,negated_conjecture,
    ( epred5_0
    | c0_1(a5)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_292]),c_0_552]) ).

cnf(c_0_798,negated_conjecture,
    ( epred31_0
    | c2_1(a32)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_554]),c_0_316]) ).

cnf(c_0_799,negated_conjecture,
    ( epred10_0
    | ~ c0_1(a5)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_376]),c_0_552]) ).

cnf(c_0_800,negated_conjecture,
    ( epred27_0
    | ~ c2_1(a25)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_670]),c_0_669]) ).

cnf(c_0_801,negated_conjecture,
    ( epred40_0
    | c2_1(a25)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_358]),c_0_669]) ).

cnf(c_0_802,negated_conjecture,
    ( epred16_0
    | ~ c2_1(a25)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_670]),c_0_668]) ).

cnf(c_0_803,negated_conjecture,
    ( epred40_0
    | epred3_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_673,c_0_674]) ).

cnf(c_0_804,negated_conjecture,
    ( epred38_0
    | c0_1(a4)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_449]),c_0_450]) ).

cnf(c_0_805,negated_conjecture,
    ( epred34_0
    | epred4_0
    | hskp25
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_675,c_0_428]) ).

cnf(c_0_806,negated_conjecture,
    ( epred34_0
    | epred5_0
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_676,c_0_304]) ).

cnf(c_0_807,negated_conjecture,
    ( epred12_0
    | ~ c0_1(a4)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_449]),c_0_450]) ).

cnf(c_0_808,negated_conjecture,
    ( epred2_0
    | c0_1(a3)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_299]),c_0_300]) ).

cnf(c_0_809,negated_conjecture,
    ( epred20_0
    | ~ c0_1(a6)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_447]),c_0_448]) ).

cnf(c_0_810,negated_conjecture,
    ( epred8_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_338]),c_0_334]),c_0_332]) ).

cnf(c_0_811,negated_conjecture,
    ( epred40_0
    | epred20_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_677,c_0_358]) ).

cnf(c_0_812,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1) ),
    i_0_27 ).

cnf(c_0_813,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    i_0_35 ).

cnf(c_0_814,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3) ),
    i_0_30 ).

cnf(c_0_815,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X1) ),
    i_0_34 ).

cnf(c_0_816,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    i_0_40 ).

cnf(c_0_817,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    i_0_31 ).

cnf(c_0_818,negated_conjecture,
    ( hskp19
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    i_0_9 ).

cnf(c_0_819,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    i_0_20 ).

cnf(c_0_820,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    i_0_21 ).

cnf(c_0_821,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    i_0_28 ).

cnf(c_0_822,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    i_0_16 ).

cnf(c_0_823,negated_conjecture,
    ( hskp13
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    i_0_18 ).

cnf(c_0_824,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    i_0_29 ).

cnf(c_0_825,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2) ),
    i_0_22 ).

cnf(c_0_826,negated_conjecture,
    ( hskp24
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    i_0_36 ).

cnf(c_0_827,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    i_0_37 ).

cnf(c_0_828,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    i_0_38 ).

cnf(c_0_829,negated_conjecture,
    ( epred33_0
    | epred30_0
    | epred26_0
    | epred24_0
    | epred39_0
    | epred8_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_678,c_0_679]) ).

cnf(c_0_830,negated_conjecture,
    ( epred38_0
    | hskp26
    | epred23_0
    | epred1_0
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_680,c_0_681]) ).

cnf(c_0_831,negated_conjecture,
    ( epred36_0
    | epred4_0
    | epred15_0
    | hskp26
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_682,c_0_683]) ).

cnf(c_0_832,negated_conjecture,
    ( c0_1(a33)
    | hskp9
    | hskp8
    | hskp3
    | hskp2
    | ~ c2_1(a33)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_524,c_0_684]) ).

cnf(c_0_833,negated_conjecture,
    ( epred37_0
    | hskp9
    | hskp8
    | epred26_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_685,c_0_513]) ).

cnf(c_0_834,negated_conjecture,
    ( epred26_0
    | c2_1(a14)
    | hskp19
    | hskp14
    | hskp2
    | ~ c3_1(a14)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_445,c_0_686]) ).

cnf(c_0_835,negated_conjecture,
    ( epred39_0
    | c2_1(a16)
    | c3_1(a16)
    | hskp14
    | hskp2
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_406,c_0_687]) ).

cnf(c_0_836,negated_conjecture,
    ( c1_1(a45)
    | c3_1(a45)
    | hskp26
    | hskp6
    | hskp14
    | hskp2
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_594,c_0_688]) ).

cnf(c_0_837,negated_conjecture,
    ( epred9_0
    | c1_1(a24)
    | c0_1(a24)
    | hskp4
    | hskp26
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_333,c_0_689]) ).

cnf(c_0_838,negated_conjecture,
    ( epred16_0
    | epred3_0
    | hskp9
    | hskp8
    | hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_690,c_0_691]) ).

cnf(c_0_839,negated_conjecture,
    ( epred29_0
    | epred21_0
    | c2_1(a4)
    | hskp26
    | hskp6
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_450,c_0_692]) ).

cnf(c_0_840,negated_conjecture,
    ( c3_1(a45)
    | hskp26
    | hskp20
    | hskp16
    | ~ c0_1(a45)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_414,c_0_693]) ).

cnf(c_0_841,negated_conjecture,
    ( epred16_0
    | epred3_0
    | hskp24
    | hskp9
    | hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_690,c_0_694]) ).

cnf(c_0_842,negated_conjecture,
    ( epred25_0
    | epred4_0
    | hskp27
    | hskp7
    | ~ c2_1(a3)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_577,c_0_695]) ).

cnf(c_0_843,negated_conjecture,
    ( epred5_0
    | epred3_0
    | hskp0
    | epred21_0
    | hskp17
    | hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_696,c_0_697]) ).

cnf(c_0_844,negated_conjecture,
    ( epred7_0
    | hskp1
    | epred21_0
    | hskp17
    | hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_698,c_0_697]) ).

cnf(c_0_845,negated_conjecture,
    ( epred8_0
    | c0_1(a33)
    | hskp9
    | hskp8
    | ~ c2_1(a33)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_699,c_0_442]) ).

cnf(c_0_846,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp8
    | epred40_0
    | epred15_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_700,c_0_701]) ).

cnf(c_0_847,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp24
    | hskp9
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_702,c_0_703]) ).

cnf(c_0_848,negated_conjecture,
    ( epred31_0
    | c2_1(a1)
    | c0_1(a1)
    | hskp24
    | hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_702,c_0_326]) ).

cnf(c_0_849,negated_conjecture,
    ( epred18_0
    | c2_1(a14)
    | hskp24
    | hskp9
    | ~ c0_1(a14)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_704,c_0_354]) ).

cnf(c_0_850,negated_conjecture,
    ( epred10_0
    | c2_1(a14)
    | hskp24
    | hskp9
    | ~ c0_1(a14)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_705,c_0_354]) ).

cnf(c_0_851,negated_conjecture,
    ( hskp24
    | hskp9
    | epred40_0
    | c2_1(a8)
    | ~ hskp6
    | ~ c0_1(a8) ),
    inference(spm,[status(thm)],[c_0_547,c_0_358]) ).

cnf(c_0_852,negated_conjecture,
    ( epred38_0
    | epred23_0
    | hskp26
    | epred4_0
    | epred1_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_706,c_0_707]) ).

cnf(c_0_853,negated_conjecture,
    ( epred11_0
    | hskp24
    | hskp17
    | epred27_0
    | epred24_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_708,c_0_709]) ).

cnf(c_0_854,negated_conjecture,
    ( epred11_0
    | hskp24
    | hskp17
    | epred26_0
    | epred24_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_708,c_0_710]) ).

cnf(c_0_855,negated_conjecture,
    ( epred30_0
    | epred29_0
    | epred11_0
    | hskp26
    | hskp24
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_556,c_0_711]) ).

cnf(c_0_856,negated_conjecture,
    ( epred4_0
    | hskp26
    | hskp20
    | ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_343,c_0_487]) ).

cnf(c_0_857,negated_conjecture,
    ( epred4_0
    | hskp26
    | hskp20
    | ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_343,c_0_712]) ).

cnf(c_0_858,negated_conjecture,
    ( epred8_0
    | hskp10
    | hskp6
    | ~ c2_1(a10)
    | ~ c0_1(a10)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_713,c_0_470]) ).

cnf(c_0_859,negated_conjecture,
    ( epred26_0
    | epred24_0
    | epred3_0
    | epred40_0
    | epred15_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_714,c_0_701]) ).

cnf(c_0_860,negated_conjecture,
    ( epred39_0
    | epred7_0
    | c2_1(a22)
    | c0_1(a22)
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_715]) ).

cnf(c_0_861,negated_conjecture,
    ( epred31_0
    | epred26_0
    | c2_1(a1)
    | c0_1(a1)
    | hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_716,c_0_326]) ).

cnf(c_0_862,negated_conjecture,
    ( epred26_0
    | hskp19
    | epred40_0
    | c2_1(a8)
    | ~ hskp6
    | ~ c0_1(a8) ),
    inference(spm,[status(thm)],[c_0_717,c_0_358]) ).

cnf(c_0_863,negated_conjecture,
    ( epred26_0
    | hskp19
    | epred29_0
    | c2_1(a30)
    | c0_1(a30)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_718,c_0_315]) ).

cnf(c_0_864,negated_conjecture,
    ( c0_1(a33)
    | hskp27
    | hskp7
    | epred23_0
    | hskp10
    | ~ c2_1(a33)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_601,c_0_719]) ).

cnf(c_0_865,negated_conjecture,
    ( epred40_0
    | epred19_0
    | c1_1(a15)
    | c2_1(a15)
    | hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_720,c_0_377]) ).

cnf(c_0_866,negated_conjecture,
    ( epred14_0
    | c0_1(a1)
    | epred19_0
    | hskp15
    | ~ c3_1(a1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_721]) ).

cnf(c_0_867,negated_conjecture,
    ( c2_1(a14)
    | hskp24
    | hskp9
    | epred17_0
    | hskp13
    | ~ c3_1(a14)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_479,c_0_722]) ).

cnf(c_0_868,negated_conjecture,
    ( epred26_0
    | c2_1(a14)
    | hskp19
    | epred17_0
    | hskp13
    | ~ c3_1(a14)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_445,c_0_722]) ).

cnf(c_0_869,negated_conjecture,
    ( epred39_0
    | c2_1(a16)
    | c3_1(a16)
    | epred17_0
    | hskp13
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_406,c_0_723]) ).

cnf(c_0_870,negated_conjecture,
    ( epred15_0
    | epred7_0
    | c2_1(a22)
    | c0_1(a22)
    | hskp5
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_724]) ).

cnf(c_0_871,negated_conjecture,
    ( epred4_0
    | epred13_0
    | hskp4
    | ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_343,c_0_725]) ).

cnf(c_0_872,negated_conjecture,
    ( epred39_0
    | epred33_0
    | c2_1(a16)
    | ~ hskp9
    | ~ c0_1(a16) ),
    inference(spm,[status(thm)],[c_0_357,c_0_726]) ).

cnf(c_0_873,negated_conjecture,
    ( epred39_0
    | epred31_0
    | c2_1(a22)
    | c0_1(a22)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_703]) ).

cnf(c_0_874,negated_conjecture,
    ( epred39_0
    | epred36_0
    | epred10_0
    | c2_1(a5)
    | epred7_0
    | hskp1
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_727,c_0_728]) ).

cnf(c_0_875,negated_conjecture,
    ( epred39_0
    | epred10_0
    | c2_1(a16)
    | ~ hskp9
    | ~ c0_1(a16) ),
    inference(spm,[status(thm)],[c_0_357,c_0_620]) ).

cnf(c_0_876,negated_conjecture,
    ( c2_1(a8)
    | hskp18
    | hskp17
    | epred39_0
    | ~ c0_1(a8)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_353,c_0_548]) ).

cnf(c_0_877,negated_conjecture,
    ( epred30_0
    | epred9_0
    | c1_1(a24)
    | c0_1(a24)
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_729,c_0_339]) ).

cnf(c_0_878,negated_conjecture,
    ( c2_1(a1)
    | hskp24
    | hskp9
    | epred9_0
    | hskp4
    | ~ c3_1(a1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_479,c_0_730]) ).

cnf(c_0_879,negated_conjecture,
    ( epred36_0
    | c2_1(a1)
    | epred9_0
    | hskp4
    | ~ c3_1(a1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_365,c_0_730]) ).

cnf(c_0_880,negated_conjecture,
    ( epred14_0
    | c0_1(a1)
    | epred9_0
    | hskp4
    | ~ c3_1(a1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_730]) ).

cnf(c_0_881,negated_conjecture,
    ( c0_1(a33)
    | hskp9
    | hskp8
    | epred9_0
    | hskp4
    | ~ c2_1(a33)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_524,c_0_731]) ).

cnf(c_0_882,negated_conjecture,
    ( epred35_0
    | epred33_0
    | c2_1(a16)
    | ~ hskp9
    | ~ c0_1(a16) ),
    inference(spm,[status(thm)],[c_0_357,c_0_732]) ).

cnf(c_0_883,negated_conjecture,
    ( c2_1(a15)
    | hskp18
    | hskp17
    | epred33_0
    | ~ c0_1(a15)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_353,c_0_733]) ).

cnf(c_0_884,negated_conjecture,
    ( epred19_0
    | c1_1(a15)
    | c2_1(a15)
    | hskp15
    | epred33_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_617,c_0_733]) ).

cnf(c_0_885,negated_conjecture,
    ( epred4_0
    | epred33_0
    | ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_343,c_0_734]) ).

cnf(c_0_886,negated_conjecture,
    ( epred38_0
    | epred31_0
    | c2_1(a22)
    | c0_1(a22)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_319,c_0_735]) ).

cnf(c_0_887,negated_conjecture,
    ( epred9_0
    | c1_1(a24)
    | c0_1(a24)
    | hskp4
    | epred7_0
    | hskp1
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_333,c_0_736]) ).

cnf(c_0_888,negated_conjecture,
    ( epred4_0
    | hskp7
    | ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_343,c_0_737]) ).

cnf(c_0_889,negated_conjecture,
    ( epred36_0
    | epred10_0
    | c2_1(a14)
    | ~ c0_1(a14)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_619,c_0_354]) ).

cnf(c_0_890,negated_conjecture,
    ( epred36_0
    | epred40_0
    | c2_1(a8)
    | ~ hskp6
    | ~ c0_1(a8) ),
    inference(spm,[status(thm)],[c_0_461,c_0_358]) ).

cnf(c_0_891,negated_conjecture,
    ( epred34_0
    | epred22_0
    | c0_1(a33)
    | ~ c2_1(a33)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_738,c_0_442]) ).

cnf(c_0_892,negated_conjecture,
    ( c2_1(a4)
    | c3_1(a4)
    | hskp26
    | hskp16
    | epred29_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_394,c_0_634]) ).

cnf(c_0_893,negated_conjecture,
    ( c0_1(a37)
    | c3_1(a37)
    | hskp26
    | hskp25
    | epred29_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_409,c_0_485]) ).

cnf(c_0_894,negated_conjecture,
    ( epred17_0
    | c1_1(a5)
    | c2_1(a5)
    | hskp13
    | epred29_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_569,c_0_633]) ).

cnf(c_0_895,negated_conjecture,
    ( epred4_0
    | epred16_0
    | ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_343,c_0_739]) ).

cnf(c_0_896,negated_conjecture,
    ( epred14_0
    | epred29_0
    | c2_1(a30)
    | c0_1(a30)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_477,c_0_315]) ).

cnf(c_0_897,negated_conjecture,
    ( epred8_0
    | epred3_0
    | epred2_0
    | ~ hskp19
    | ~ c2_1(a33) ),
    inference(spm,[status(thm)],[c_0_444,c_0_740]) ).

cnf(c_0_898,negated_conjecture,
    ( epred24_0
    | c0_1(a24)
    | hskp11
    | epred3_0
    | ~ c2_1(a24)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_344,c_0_387]) ).

cnf(c_0_899,negated_conjecture,
    ( epred9_0
    | c1_1(a24)
    | c0_1(a24)
    | hskp4
    | epred3_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_333,c_0_387]) ).

cnf(c_0_900,negated_conjecture,
    ( epred4_0
    | epred12_0
    | ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_343,c_0_741]) ).

cnf(c_0_901,negated_conjecture,
    ( c1_1(a45)
    | c3_1(a45)
    | hskp26
    | hskp6
    | epred10_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_594,c_0_742]) ).

cnf(c_0_902,negated_conjecture,
    ( epred8_0
    | epred30_0
    | c0_1(a24)
    | ~ hskp14
    | ~ c2_1(a24) ),
    inference(spm,[status(thm)],[c_0_386,c_0_350]) ).

cnf(c_0_903,negated_conjecture,
    ( epred11_0
    | epred8_0
    | hskp24
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_743,c_0_453]) ).

cnf(c_0_904,negated_conjecture,
    ( epred30_0
    | epred24_0
    | hskp11
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_744,c_0_453]) ).

cnf(c_0_905,negated_conjecture,
    ( epred39_0
    | epred14_0
    | epred4_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_746]),c_0_536]) ).

cnf(c_0_906,negated_conjecture,
    ( epred27_0
    | epred24_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_747]),c_0_748]) ).

cnf(c_0_907,negated_conjecture,
    ( epred40_0
    | epred31_0
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_749,c_0_636]) ).

cnf(c_0_908,negated_conjecture,
    ( epred40_0
    | epred29_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_636]),c_0_751]) ).

cnf(c_0_909,negated_conjecture,
    ( epred39_0
    | epred28_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_514,c_0_752]) ).

cnf(c_0_910,negated_conjecture,
    ( epred24_0
    | epred4_0
    | hskp6
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_754]),c_0_536]) ).

cnf(c_0_911,negated_conjecture,
    ( epred25_0
    | hskp9
    | hskp8
    | hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_503,c_0_691]) ).

cnf(c_0_912,negated_conjecture,
    ( epred39_0
    | epred37_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_514,c_0_755]) ).

cnf(c_0_913,negated_conjecture,
    ( hskp26
    | hskp24
    | hskp16
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_462]),c_0_546]) ).

cnf(c_0_914,negated_conjecture,
    ( epred39_0
    | epred18_0
    | epred14_0
    | hskp26
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_545,c_0_756]) ).

cnf(c_0_915,negated_conjecture,
    ( epred40_0
    | epred30_0
    | epred29_0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_757]),c_0_758]) ).

cnf(c_0_916,negated_conjecture,
    ( epred40_0
    | hskp18
    | hskp17
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_395]),c_0_393]) ).

cnf(c_0_917,negated_conjecture,
    ( epred32_0
    | epred27_0
    | epred5_0
    | hskp24
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_760,c_0_423]) ).

cnf(c_0_918,negated_conjecture,
    ( epred36_0
    | epred32_0
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_761,c_0_762]),c_0_763]) ).

cnf(c_0_919,negated_conjecture,
    ( epred29_0
    | epred18_0
    | epred14_0
    | epred3_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_560,c_0_764]) ).

cnf(c_0_920,negated_conjecture,
    ( epred26_0
    | hskp19
    | hskp9
    | hskp8
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_604,c_0_540]) ).

cnf(c_0_921,negated_conjecture,
    ( epred21_0
    | hskp9
    | hskp8
    | hskp6
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_604,c_0_765]) ).

cnf(c_0_922,negated_conjecture,
    ( epred29_0
    | epred27_0
    | epred17_0
    | hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_766,c_0_767]) ).

cnf(c_0_923,negated_conjecture,
    ( epred36_0
    | epred35_0
    | hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_768,c_0_546]) ).

cnf(c_0_924,negated_conjecture,
    ( epred35_0
    | epred14_0
    | hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_769,c_0_546]) ).

cnf(c_0_925,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_506]),c_0_505]),c_0_507]) ).

cnf(c_0_926,negated_conjecture,
    ( epred30_0
    | epred29_0
    | epred23_0
    | hskp26
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_556,c_0_608]) ).

cnf(c_0_927,negated_conjecture,
    ( epred32_0
    | epred7_0
    | hskp17
    | hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_698,c_0_770]) ).

cnf(c_0_928,negated_conjecture,
    ( epred14_0
    | epred11_0
    | hskp24
    | hskp17
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_611,c_0_649]) ).

cnf(c_0_929,negated_conjecture,
    ( epred4_0
    | hskp9
    | hskp8
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_534,c_0_597]) ).

cnf(c_0_930,negated_conjecture,
    ( epred27_0
    | epred7_0
    | hskp17
    | hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_698,c_0_771]) ).

cnf(c_0_931,negated_conjecture,
    ( epred39_0
    | hskp9
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_772,c_0_773]) ).

cnf(c_0_932,negated_conjecture,
    ( epred11_0
    | epred4_0
    | hskp24
    | hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_611,c_0_533]) ).

cnf(c_0_933,negated_conjecture,
    ( epred33_0
    | epred12_0
    | hskp24
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_774,c_0_775]) ).

cnf(c_0_934,negated_conjecture,
    ( epred40_0
    | hskp24
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_418,c_0_775]) ).

cnf(c_0_935,negated_conjecture,
    ( epred4_0
    | hskp24
    | hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_468,c_0_600]) ).

cnf(c_0_936,negated_conjecture,
    ( epred33_0
    | epred12_0
    | hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_774,c_0_776]) ).

cnf(c_0_937,negated_conjecture,
    ( epred31_0
    | epred4_0
    | hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_777,c_0_778]) ).

cnf(c_0_938,negated_conjecture,
    ( epred39_0
    | epred28_0
    | epred3_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_779,c_0_780]) ).

cnf(c_0_939,negated_conjecture,
    ( epred30_0
    | epred29_0
    | hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_556,c_0_781]) ).

cnf(c_0_940,negated_conjecture,
    ( epred26_0
    | hskp19
    | hskp10
    | hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_599,c_0_782]) ).

cnf(c_0_941,negated_conjecture,
    ( epred36_0
    | epred4_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_682,c_0_610]) ).

cnf(c_0_942,negated_conjecture,
    ( epred24_0
    | epred5_0
    | epred3_0
    | hskp24
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_783,c_0_281]) ).

cnf(c_0_943,negated_conjecture,
    ( epred39_0
    | epred26_0
    | hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_717,c_0_548]) ).

cnf(c_0_944,negated_conjecture,
    ( epred33_0
    | epred24_0
    | epred4_0
    | epred1_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_784,c_0_754]) ).

cnf(c_0_945,negated_conjecture,
    ( epred27_0
    | epred25_0
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_785]),c_0_786]) ).

cnf(c_0_946,negated_conjecture,
    ( epred25_0
    | epred23_0
    | ~ epred40_0
    | ~ epred39_0 ),
    inference(spm,[status(thm)],[c_0_787,c_0_786]) ).

cnf(c_0_947,negated_conjecture,
    ( epred21_0
    | hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_326]),c_0_327]),c_0_328]) ).

cnf(c_0_948,negated_conjecture,
    ( epred38_0
    | epred30_0
    | epred17_0
    | epred7_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_667,c_0_650]) ).

cnf(c_0_949,negated_conjecture,
    ( epred40_0
    | epred38_0
    | epred30_0
    | epred7_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_418,c_0_788]) ).

cnf(c_0_950,negated_conjecture,
    ( epred13_0
    | hskp4
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_582]),c_0_581]),c_0_580]) ).

cnf(c_0_951,negated_conjecture,
    ( epred39_0
    | epred36_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_461,c_0_548]) ).

cnf(c_0_952,negated_conjecture,
    ( epred39_0
    | epred25_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_789,c_0_790]) ).

cnf(c_0_953,negated_conjecture,
    ( epred37_0
    | epred5_0
    | hskp24
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_791,c_0_281]) ).

cnf(c_0_954,negated_conjecture,
    ( epred37_0
    | epred32_0
    | hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_281]),c_0_368]) ).

cnf(c_0_955,negated_conjecture,
    ( epred9_0
    | hskp24
    | hskp4
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_793,c_0_281]) ).

cnf(c_0_956,negated_conjecture,
    ( epred33_0
    | hskp26
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_794,c_0_795]) ).

cnf(c_0_957,negated_conjecture,
    ( epred33_0
    | epred7_0
    | hskp1
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_796,c_0_728]) ).

cnf(c_0_958,negated_conjecture,
    ( epred33_0
    | epred5_0
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_796,c_0_797]) ).

cnf(c_0_959,negated_conjecture,
    ( epred31_0
    | epred3_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_351,c_0_798]) ).

cnf(c_0_960,negated_conjecture,
    ( epred40_0
    | epred7_0
    | hskp1
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_631,c_0_728]) ).

cnf(c_0_961,negated_conjecture,
    ( epred10_0
    | epred7_0
    | hskp1
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_799,c_0_728]) ).

cnf(c_0_962,negated_conjecture,
    ( epred40_0
    | epred27_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_800,c_0_801]) ).

cnf(c_0_963,negated_conjecture,
    ( epred40_0
    | epred25_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_789,c_0_801]) ).

cnf(c_0_964,negated_conjecture,
    ( epred40_0
    | epred16_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_802,c_0_801]) ).

cnf(c_0_965,negated_conjecture,
    ( epred40_0
    | epred3_0
    | hskp26
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_803,c_0_795]) ).

cnf(c_0_966,negated_conjecture,
    ( epred40_0
    | epred38_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_606,c_0_804]) ).

cnf(c_0_967,negated_conjecture,
    ( epred35_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_449]),c_0_450]),c_0_451]) ).

cnf(c_0_968,negated_conjecture,
    ( epred34_0
    | epred27_0
    | epred4_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_495,c_0_805]) ).

cnf(c_0_969,negated_conjecture,
    ( epred34_0
    | epred5_0
    | hskp24
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_806,c_0_281]) ).

cnf(c_0_970,negated_conjecture,
    ( epred34_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_509]),c_0_339]),c_0_455]) ).

cnf(c_0_971,negated_conjecture,
    ( epred29_0
    | epred12_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_807,c_0_634]) ).

cnf(c_0_972,negated_conjecture,
    ( epred27_0
    | epred2_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_323,c_0_808]) ).

cnf(c_0_973,negated_conjecture,
    ( epred22_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_299]),c_0_301]),c_0_300]) ).

cnf(c_0_974,negated_conjecture,
    ( epred20_0
    | epred14_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_809,c_0_568]) ).

cnf(c_0_975,negated_conjecture,
    ( epred20_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_354]),c_0_355]),c_0_356]) ).

cnf(c_0_976,negated_conjecture,
    ( epred8_0
    | hskp25
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_810,c_0_428]) ).

cnf(c_0_977,negated_conjecture,
    ( epred8_0
    | epred1_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_386,c_0_519]) ).

cnf(c_0_978,negated_conjecture,
    ( epred4_0
    | epred2_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_534,c_0_808]) ).

cnf(c_0_979,negated_conjecture,
    ( epred40_0
    | epred20_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_377]),c_0_378]) ).

cnf(c_0_980,negated_conjecture,
    ( ~ epred39_0
    | ~ epred30_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_812,c_0_346]),c_0_311]),c_0_287]) ).

cnf(c_0_981,negated_conjecture,
    ( ~ epred38_0
    | ~ epred37_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_813,c_0_464]),c_0_308]),c_0_382]) ).

cnf(c_0_982,negated_conjecture,
    ( ~ epred36_0
    | ~ epred33_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_814,c_0_384]),c_0_297]),c_0_322]) ).

cnf(c_0_983,negated_conjecture,
    ( ~ epred35_0
    | ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_815,c_0_384]),c_0_440]),c_0_499]) ).

cnf(c_0_984,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_816,c_0_482]),c_0_297]),c_0_302]) ).

cnf(c_0_985,negated_conjecture,
    ( ~ epred30_0
    | ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_817,c_0_379]),c_0_297]),c_0_311]) ).

cnf(c_0_986,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_818,c_0_385]),c_0_287]) ).

cnf(c_0_987,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_819,c_0_310]),c_0_380]) ).

cnf(c_0_988,negated_conjecture,
    ( ~ epred23_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_820,c_0_336]),c_0_345]) ).

cnf(c_0_989,negated_conjecture,
    ( ~ epred22_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_821,c_0_396]),c_0_543]) ).

cnf(c_0_990,negated_conjecture,
    ( ~ epred20_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_822,c_0_541]),c_0_584]) ).

cnf(c_0_991,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_823,c_0_498]),c_0_348]) ).

cnf(c_0_992,negated_conjecture,
    ( ~ epred16_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_824,c_0_391]),c_0_465]) ).

cnf(c_0_993,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_825,c_0_542]),c_0_345]) ).

cnf(c_0_994,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_826,c_0_473]),c_0_500]) ).

cnf(c_0_995,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_827,c_0_383]),c_0_308]) ).

cnf(c_0_996,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_828,c_0_389]),c_0_476]) ).

cnf(c_0_997,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_829,c_0_830,c_0_831,c_0_832,c_0_833,c_0_834,c_0_835,c_0_836,c_0_837,c_0_838,c_0_839,c_0_840,c_0_841,c_0_842,c_0_843,c_0_844,c_0_845,c_0_846,c_0_847,c_0_848,c_0_849,c_0_850,c_0_851,c_0_852,c_0_853,c_0_854,c_0_855,c_0_856,c_0_857,c_0_858,c_0_859,c_0_860,c_0_861,c_0_862,c_0_863,c_0_864,c_0_865,c_0_866,c_0_867,c_0_868,c_0_869,c_0_870,c_0_871,c_0_872,c_0_873,c_0_874,c_0_875,c_0_876,c_0_877,c_0_878,c_0_879,c_0_880,c_0_881,c_0_882,c_0_883,c_0_884,c_0_885,c_0_886,c_0_887,c_0_888,c_0_889,c_0_890,c_0_891,c_0_892,c_0_893,c_0_894,c_0_895,c_0_896,c_0_897,c_0_898,c_0_899,c_0_900,c_0_901,c_0_902,c_0_679,c_0_903,c_0_904,c_0_905,c_0_906,c_0_907,c_0_908,c_0_909,c_0_752,c_0_636,c_0_555,c_0_910,c_0_685,c_0_911,c_0_515,c_0_912,c_0_453,c_0_913,c_0_914,c_0_915,c_0_916,c_0_917,c_0_918,c_0_494,c_0_919,c_0_920,c_0_921,c_0_922,c_0_923,c_0_924,c_0_925,c_0_926,c_0_423,c_0_369,c_0_927,c_0_928,c_0_767,c_0_929,c_0_930,c_0_931,c_0_702,c_0_932,c_0_933,c_0_934,c_0_775,c_0_760,c_0_935,c_0_936,c_0_628,c_0_608,c_0_937,c_0_758,c_0_938,c_0_567,c_0_708,c_0_417,c_0_711,c_0_609,c_0_533,c_0_531,c_0_939,c_0_940,c_0_941,c_0_610,c_0_942,c_0_586,c_0_513,c_0_943,c_0_717,c_0_944,c_0_512,c_0_754,c_0_945,c_0_946,c_0_786,c_0_504,c_0_662,c_0_518,c_0_947,c_0_603,c_0_948,c_0_766,c_0_744,c_0_701,c_0_949,c_0_950,c_0_951,c_0_548,c_0_952,c_0_514,c_0_743,c_0_611,c_0_953,c_0_954,c_0_638,c_0_955,c_0_956,c_0_957,c_0_958,c_0_959,c_0_960,c_0_961,c_0_698,c_0_635,c_0_474,c_0_491,c_0_418,c_0_962,c_0_963,c_0_964,c_0_965,c_0_966,c_0_751,c_0_606,c_0_804,c_0_589,c_0_564,c_0_493,c_0_967,c_0_968,c_0_805,c_0_969,c_0_970,c_0_368,c_0_578,c_0_556,c_0_971,c_0_361,c_0_416,c_0_972,c_0_495,c_0_503,c_0_973,c_0_974,c_0_975,c_0_560,c_0_745,c_0_588,c_0_615,c_0_452,c_0_387,c_0_430,c_0_976,c_0_977,c_0_429,c_0_978,c_0_536,c_0_532,c_0_780,c_0_658,c_0_573,c_0_979,c_0_748,c_0_787,c_0_980,c_0_981,c_0_982,c_0_983,c_0_984,c_0_985,c_0_986,c_0_987,c_0_988,c_0_989,c_0_990,c_0_991,c_0_992,c_0_993,c_0_994,c_0_761,c_0_995,c_0_562,c_0_643,c_0_996,c_0_580,c_0_581,c_0_412,c_0_411,c_0_444,c_0_407,c_0_405,c_0_337,c_0_455,c_0_321,c_0_320,c_0_360,c_0_357,c_0_375,c_0_378,c_0_356,c_0_393,c_0_553,c_0_552,c_0_451,c_0_450,c_0_328,c_0_327,c_0_339,c_0_426,c_0_374,c_0_472,c_0_300,c_0_443,c_0_425,c_0_582,c_0_373,c_0_359,c_0_377,c_0_395,c_0_471,c_0_355,c_0_354,c_0_326,c_0_428,c_0_362,c_0_795,c_0_431]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN436+1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 06:46:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 22.04/4.19  # ENIGMATIC: Solved by autoschedule:
% 22.04/4.19  # No SInE strategy applied
% 22.04/4.19  # Trying AutoSched0 for 150 seconds
% 22.04/4.19  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.04/4.19  # and selection function SelectMaxLComplexAvoidPosPred.
% 22.04/4.19  #
% 22.04/4.19  # Preprocessing time       : 0.026 s
% 22.04/4.19  # SatCheck found unsatisfiable ground set
% 22.04/4.19  
% 22.04/4.19  # Proof found!
% 22.04/4.19  # SZS status Theorem
% 22.04/4.19  # SZS output start CNFRefutation
% See solution above
% 22.04/4.19  # Training examples: 0 positive, 0 negative
% 22.04/4.19  
% 22.04/4.19  # -------------------------------------------------
% 22.04/4.19  # User time                : 1.482 s
% 22.04/4.19  # System time              : 0.058 s
% 22.04/4.19  # Total time               : 1.540 s
% 22.04/4.19  # Maximum resident set size: 7116 pages
% 22.04/4.19  
%------------------------------------------------------------------------------