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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYN439+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:33:59 PM UTC 2026

% Result   : Theorem 10.41s 1.88s
% Output   : CNFRefutation 10.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  766 (   2 unt;   0 def)
%            Number of atoms       : 5866 (   0 equ)
%            Maximal formula atoms :  814 (   7 avg)
%            Number of connectives : 7643 (2543   ~;3770   |;1036   &)
%                                         (  48 <=>; 246  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  351 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  107 ( 106 usr; 103 prp; 0-1 aty)
%            Number of functors    :   53 (  53 usr;  53 con; 0-0 aty)
%            Number of variables   :  588 (   0 sgn 376   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c1_1(X82)
              | c3_1(X82) ) )
        | hskp32
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | ~ c1_1(X81) ) ) )
      & ( hskp52
        | hskp31
        | hskp40 )
      & ( hskp46
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | ~ c1_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) ) )
      & ( hskp30
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c3_1(X78)
              | c2_1(X78) ) )
        | hskp29 )
      & ( hskp28
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c0_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c0_1(X76)
              | c2_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp46 )
      & ( hskp4
        | hskp27
        | hskp6 )
      & ( hskp26
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c0_1(X72)
              | ~ c3_1(X72) ) ) )
      & ( hskp51
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c1_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c2_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | ~ c2_1(X68)
              | c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c3_1(X67)
              | ~ c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c3_1(X66)
              | ~ c2_1(X66) ) )
        | hskp25
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | ~ c3_1(X65)
              | ~ c1_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c3_1(X64) ) )
        | hskp24
        | hskp39 )
      & ( hskp34
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c0_1(X63)
              | ~ c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | c3_1(X62)
              | ~ c1_1(X62) ) ) )
      & ( hskp23
        | hskp22
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | ~ c1_1(X61) ) ) )
      & ( hskp21
        | hskp20
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c3_1(X60)
              | c2_1(X60) ) ) )
      & ( hskp50
        | hskp19
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c0_1(X59)
              | c2_1(X59) ) ) )
      & ( hskp18
        | hskp17
        | hskp16 )
      & ( hskp15
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c1_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | ~ c3_1(X57)
              | ~ c2_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c3_1(X56)
              | c2_1(X56) ) )
        | hskp49
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | c3_1(X53) ) )
        | hskp14 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c1_1(X52)
              | ~ c2_1(X52) ) )
        | hskp48
        | hskp13 )
      & ( hskp47
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | c2_1(X48)
              | c1_1(X48) ) )
        | hskp12 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c0_1(X47)
              | ~ c2_1(X47) ) )
        | hskp46
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c0_1(X46)
              | ~ c2_1(X46) ) ) )
      & ( hskp45
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | c0_1(X44)
              | c2_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | ~ c3_1(X43)
              | c0_1(X43) ) )
        | hskp11
        | hskp44 )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c3_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c0_1(X41)
              | ~ c2_1(X41) ) )
        | hskp10 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | hskp43
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | ~ c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | ~ c3_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c0_1(X37)
              | ~ c2_1(X37) ) )
        | hskp42 )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c3_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | c1_1(X34) ) ) )
      & ( hskp41
        | hskp9
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c0_1(X33)
              | ~ c1_1(X33) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | ~ c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | ~ c3_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | ~ c1_1(X30)
              | c2_1(X30) ) ) )
      & ( hskp38
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) ) )
      & ( hskp8
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c0_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp40
        | hskp7
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) ) )
      & ( hskp39
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c3_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c1_1(X23)
              | c3_1(X23) ) ) )
      & ( hskp6
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c3_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) )
        | hskp38
        | ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | c1_1(X19)
              | c3_1(X19) ) ) )
      & ( hskp5
        | ! [X18] :
            ( ndr1_0
           => ( c2_1(X18)
              | ~ c3_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | ~ c2_1(X17)
              | c3_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c3_1(X16)
              | ~ c2_1(X16) ) )
        | hskp4
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | c0_1(X15)
              | c3_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | ~ c2_1(X14)
              | c1_1(X14) ) )
        | hskp37
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | ~ c0_1(X13) ) ) )
      & ( hskp3
        | hskp34
        | hskp36 )
      & ( hskp2
        | hskp1
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c2_1(X10)
              | c3_1(X10) ) )
        | hskp35 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c2_1(X8)
              | ~ c1_1(X8) ) )
        | hskp34 )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c1_1(X7)
              | c3_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c3_1(X6)
              | c2_1(X6) ) )
        | hskp33 )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c1_1(X5)
              | ~ c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | ~ c1_1(X3)
              | c2_1(X3) ) ) )
      & ( hskp0
        | ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | ~ c1_1(X2)
              | ~ c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c1_1(X1) ) ) )
      & ( ( c1_1(a595)
          & c2_1(a595)
          & ~ c0_1(a595)
          & ndr1_0 )
        | ~ hskp52 )
      & ( ( c3_1(a583)
          & c0_1(a583)
          & ~ c2_1(a583)
          & ndr1_0 )
        | ~ hskp51 )
      & ( ( c1_1(a574)
          & c0_1(a574)
          & ~ c3_1(a574)
          & ndr1_0 )
        | ~ hskp50 )
      & ( ( c2_1(a568)
          & ~ c1_1(a568)
          & ~ c0_1(a568)
          & ndr1_0 )
        | ~ hskp49 )
      & ( ( c1_1(a566)
          & ~ c2_1(a566)
          & ~ c3_1(a566)
          & ndr1_0 )
        | ~ hskp48 )
      & ( ( c1_1(a564)
          & c0_1(a564)
          & ~ c2_1(a564)
          & ndr1_0 )
        | ~ hskp47 )
      & ( ( c1_1(a562)
          & ~ c0_1(a562)
          & ~ c3_1(a562)
          & ndr1_0 )
        | ~ hskp46 )
      & ( ( c0_1(a561)
          & ~ c2_1(a561)
          & ~ c3_1(a561)
          & ndr1_0 )
        | ~ hskp45 )
      & ( ( c2_1(a559)
          & c0_1(a559)
          & ~ c3_1(a559)
          & ndr1_0 )
        | ~ hskp44 )
      & ( ( c0_1(a557)
          & ~ c1_1(a557)
          & c3_1(a557)
          & ndr1_0 )
        | ~ hskp43 )
      & ( ( c3_1(a556)
          & c1_1(a556)
          & ~ c2_1(a556)
          & ndr1_0 )
        | ~ hskp42 )
      & ( ( c0_1(a555)
          & c3_1(a555)
          & ~ c2_1(a555)
          & ndr1_0 )
        | ~ hskp41 )
      & ( ( c2_1(a551)
          & ~ c0_1(a551)
          & c3_1(a551)
          & ndr1_0 )
        | ~ hskp40 )
      & ( ( c1_1(a549)
          & c2_1(a549)
          & c3_1(a549)
          & ndr1_0 )
        | ~ hskp39 )
      & ( ( c0_1(a547)
          & c1_1(a547)
          & c2_1(a547)
          & ndr1_0 )
        | ~ hskp38 )
      & ( ( c1_1(a544)
          & ~ c3_1(a544)
          & ~ c2_1(a544)
          & ndr1_0 )
        | ~ hskp37 )
      & ( ( c2_1(a541)
          & c1_1(a541)
          & c0_1(a541)
          & ndr1_0 )
        | ~ hskp36 )
      & ( ( c3_1(a538)
          & c1_1(a538)
          & c2_1(a538)
          & ndr1_0 )
        | ~ hskp35 )
      & ( ( c3_1(a537)
          & ~ c1_1(a537)
          & c0_1(a537)
          & ndr1_0 )
        | ~ hskp34 )
      & ( ( c0_1(a536)
          & c2_1(a536)
          & c1_1(a536)
          & ndr1_0 )
        | ~ hskp33 )
      & ( ( ~ c2_1(a596)
          & ~ c3_1(a596)
          & c0_1(a596)
          & ndr1_0 )
        | ~ hskp32 )
      & ( ( ~ c1_1(a594)
          & ~ c3_1(a594)
          & ~ c0_1(a594)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( ~ c0_1(a591)
          & ~ c2_1(a591)
          & c1_1(a591)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( ~ c1_1(a590)
          & ~ c0_1(a590)
          & ~ c3_1(a590)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( ~ c0_1(a589)
          & c3_1(a589)
          & c2_1(a589)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a586)
          & c1_1(a586)
          & ~ c0_1(a586)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a584)
          & c1_1(a584)
          & c0_1(a584)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a582)
          & ~ c2_1(a582)
          & ~ c3_1(a582)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a581)
          & ~ c1_1(a581)
          & c2_1(a581)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a578)
          & ~ c0_1(a578)
          & c3_1(a578)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a577)
          & c1_1(a577)
          & ~ c3_1(a577)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a576)
          & ~ c0_1(a576)
          & c1_1(a576)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a575)
          & ~ c0_1(a575)
          & ~ c2_1(a575)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a573)
          & ~ c0_1(a573)
          & ~ c2_1(a573)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a572)
          & c0_1(a572)
          & ~ c3_1(a572)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a571)
          & c3_1(a571)
          & c0_1(a571)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c0_1(a570)
          & c1_1(a570)
          & c3_1(a570)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a569)
          & ~ c1_1(a569)
          & ~ c0_1(a569)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a567)
          & ~ c1_1(a567)
          & c0_1(a567)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a565)
          & c2_1(a565)
          & c3_1(a565)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a563)
          & ~ c0_1(a563)
          & c3_1(a563)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a560)
          & ~ c3_1(a560)
          & c1_1(a560)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a558)
          & c3_1(a558)
          & ~ c1_1(a558)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a554)
          & ~ c2_1(a554)
          & ~ c0_1(a554)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a552)
          & ~ c1_1(a552)
          & ~ c3_1(a552)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a550)
          & c3_1(a550)
          & c0_1(a550)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a548)
          & c3_1(a548)
          & ~ c2_1(a548)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a546)
          & c2_1(a546)
          & ~ c3_1(a546)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c0_1(a545)
          & c1_1(a545)
          & ~ c2_1(a545)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a543)
          & ~ c0_1(a543)
          & ~ c1_1(a543)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a540)
          & c1_1(a540)
          & c2_1(a540)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a539)
          & ~ c1_1(a539)
          & ~ c2_1(a539)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a535)
          & c0_1(a535)
          & c1_1(a535)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | c3_1(X82) ) )
          | hskp32
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | ~ c1_1(X81) ) ) )
        & ( hskp52
          | hskp31
          | hskp40 )
        & ( hskp46
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( hskp30
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c3_1(X78)
                | c2_1(X78) ) )
          | hskp29 )
        & ( hskp28
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c0_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c0_1(X76)
                | c2_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp46 )
        & ( hskp4
          | hskp27
          | hskp6 )
        & ( hskp26
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c0_1(X72)
                | ~ c3_1(X72) ) ) )
        & ( hskp51
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c2_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c3_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c3_1(X66)
                | ~ c2_1(X66) ) )
          | hskp25
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c3_1(X65)
                | ~ c1_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | hskp24
          | hskp39 )
        & ( hskp34
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c3_1(X62)
                | ~ c1_1(X62) ) ) )
        & ( hskp23
          | hskp22
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) ) )
        & ( hskp21
          | hskp20
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c3_1(X60)
                | c2_1(X60) ) ) )
        & ( hskp50
          | hskp19
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) ) )
        & ( hskp18
          | hskp17
          | hskp16 )
        & ( hskp15
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c1_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c3_1(X57)
                | ~ c2_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c2_1(X56) ) )
          | hskp49
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | c3_1(X53) ) )
          | hskp14 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp48
          | hskp13 )
        & ( hskp47
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c0_1(X47)
                | ~ c2_1(X47) ) )
          | hskp46
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c0_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( hskp45
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c0_1(X44)
                | c2_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c3_1(X43)
                | c0_1(X43) ) )
          | hskp11
          | hskp44 )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c0_1(X41)
                | ~ c2_1(X41) ) )
          | hskp10 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | hskp43
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c3_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp42 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp41
          | hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c0_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) ) )
        & ( hskp38
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( hskp8
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp40
          | hskp7
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( hskp39
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c3_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c1_1(X23)
                | c3_1(X23) ) ) )
        & ( hskp6
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c3_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) )
          | hskp38
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c1_1(X19)
                | c3_1(X19) ) ) )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | ~ c3_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | c3_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c3_1(X16)
                | ~ c2_1(X16) ) )
          | hskp4
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c0_1(X15)
                | c3_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) )
          | hskp37
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( hskp3
          | hskp34
          | hskp36 )
        & ( hskp2
          | hskp1
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c2_1(X10)
                | c3_1(X10) ) )
          | hskp35 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c1_1(X8) ) )
          | hskp34 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) )
          | hskp33 )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp0
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c1_1(X1) ) ) )
        & ( ( c1_1(a595)
            & c2_1(a595)
            & ~ c0_1(a595)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c3_1(a583)
            & c0_1(a583)
            & ~ c2_1(a583)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c1_1(a574)
            & c0_1(a574)
            & ~ c3_1(a574)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c2_1(a568)
            & ~ c1_1(a568)
            & ~ c0_1(a568)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c1_1(a566)
            & ~ c2_1(a566)
            & ~ c3_1(a566)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c1_1(a564)
            & c0_1(a564)
            & ~ c2_1(a564)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c1_1(a562)
            & ~ c0_1(a562)
            & ~ c3_1(a562)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c0_1(a561)
            & ~ c2_1(a561)
            & ~ c3_1(a561)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c2_1(a559)
            & c0_1(a559)
            & ~ c3_1(a559)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a557)
            & ~ c1_1(a557)
            & c3_1(a557)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c3_1(a556)
            & c1_1(a556)
            & ~ c2_1(a556)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c0_1(a555)
            & c3_1(a555)
            & ~ c2_1(a555)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c2_1(a551)
            & ~ c0_1(a551)
            & c3_1(a551)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c1_1(a549)
            & c2_1(a549)
            & c3_1(a549)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c0_1(a547)
            & c1_1(a547)
            & c2_1(a547)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c1_1(a544)
            & ~ c3_1(a544)
            & ~ c2_1(a544)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c2_1(a541)
            & c1_1(a541)
            & c0_1(a541)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c3_1(a538)
            & c1_1(a538)
            & c2_1(a538)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c3_1(a537)
            & ~ c1_1(a537)
            & c0_1(a537)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c0_1(a536)
            & c2_1(a536)
            & c1_1(a536)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c2_1(a596)
            & ~ c3_1(a596)
            & c0_1(a596)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c1_1(a594)
            & ~ c3_1(a594)
            & ~ c0_1(a594)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c0_1(a591)
            & ~ c2_1(a591)
            & c1_1(a591)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c1_1(a590)
            & ~ c0_1(a590)
            & ~ c3_1(a590)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c0_1(a589)
            & c3_1(a589)
            & c2_1(a589)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a586)
            & c1_1(a586)
            & ~ c0_1(a586)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a584)
            & c1_1(a584)
            & c0_1(a584)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a582)
            & ~ c2_1(a582)
            & ~ c3_1(a582)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a581)
            & ~ c1_1(a581)
            & c2_1(a581)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a578)
            & ~ c0_1(a578)
            & c3_1(a578)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a577)
            & c1_1(a577)
            & ~ c3_1(a577)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a576)
            & ~ c0_1(a576)
            & c1_1(a576)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a575)
            & ~ c0_1(a575)
            & ~ c2_1(a575)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a573)
            & ~ c0_1(a573)
            & ~ c2_1(a573)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a572)
            & c0_1(a572)
            & ~ c3_1(a572)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a571)
            & c3_1(a571)
            & c0_1(a571)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a570)
            & c1_1(a570)
            & c3_1(a570)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a569)
            & ~ c1_1(a569)
            & ~ c0_1(a569)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a567)
            & ~ c1_1(a567)
            & c0_1(a567)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a565)
            & c2_1(a565)
            & c3_1(a565)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a563)
            & ~ c0_1(a563)
            & c3_1(a563)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a560)
            & ~ c3_1(a560)
            & c1_1(a560)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a558)
            & c3_1(a558)
            & ~ c1_1(a558)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a554)
            & ~ c2_1(a554)
            & ~ c0_1(a554)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a552)
            & ~ c1_1(a552)
            & ~ c3_1(a552)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a550)
            & c3_1(a550)
            & c0_1(a550)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a548)
            & c3_1(a548)
            & ~ c2_1(a548)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a546)
            & c2_1(a546)
            & ~ c3_1(a546)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a545)
            & c1_1(a545)
            & ~ c2_1(a545)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a543)
            & ~ c0_1(a543)
            & ~ c1_1(a543)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a540)
            & c1_1(a540)
            & c2_1(a540)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a539)
            & ~ c1_1(a539)
            & ~ c2_1(a539)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a535)
            & c0_1(a535)
            & c1_1(a535)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ( ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | c3_1(X82) ) )
          | hskp32
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | ~ c1_1(X81) ) ) )
        & ( hskp52
          | hskp31
          | hskp40 )
        & ( hskp46
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c1_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( hskp30
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c3_1(X78)
                | c2_1(X78) ) )
          | hskp29 )
        & ( hskp28
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c0_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c0_1(X76)
                | c2_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp46 )
        & ( hskp4
          | hskp27
          | hskp6 )
        & ( hskp26
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c0_1(X72)
                | ~ c3_1(X72) ) ) )
        & ( hskp51
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c2_1(X68)
                | c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c3_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c3_1(X66)
                | ~ c2_1(X66) ) )
          | hskp25
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c3_1(X65)
                | ~ c1_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | hskp24
          | hskp39 )
        & ( hskp34
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c3_1(X62)
                | ~ c1_1(X62) ) ) )
        & ( hskp23
          | hskp22
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) ) )
        & ( hskp21
          | hskp20
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c3_1(X60)
                | c2_1(X60) ) ) )
        & ( hskp50
          | hskp19
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) ) )
        & ( hskp18
          | hskp17
          | hskp16 )
        & ( hskp15
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c1_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c3_1(X57)
                | ~ c2_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c2_1(X56) ) )
          | hskp49
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | c3_1(X53) ) )
          | hskp14 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp48
          | hskp13 )
        & ( hskp47
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c0_1(X47)
                | ~ c2_1(X47) ) )
          | hskp46
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c0_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( hskp45
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c0_1(X44)
                | c2_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c3_1(X43)
                | c0_1(X43) ) )
          | hskp11
          | hskp44 )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c0_1(X41)
                | ~ c2_1(X41) ) )
          | hskp10 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | hskp43
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c3_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp42 )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c3_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp41
          | hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c0_1(X33)
                | ~ c1_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) ) )
        & ( hskp38
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( hskp8
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp40
          | hskp7
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( hskp39
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c3_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c1_1(X23)
                | c3_1(X23) ) ) )
        & ( hskp6
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c3_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) )
          | hskp38
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c1_1(X19)
                | c3_1(X19) ) ) )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( c2_1(X18)
                | ~ c3_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | c3_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c3_1(X16)
                | ~ c2_1(X16) ) )
          | hskp4
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c0_1(X15)
                | c3_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) )
          | hskp37
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( hskp3
          | hskp34
          | hskp36 )
        & ( hskp2
          | hskp1
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c2_1(X10)
                | c3_1(X10) ) )
          | hskp35 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c1_1(X8) ) )
          | hskp34 )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) )
          | hskp33 )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | ~ c1_1(X3)
                | c2_1(X3) ) ) )
        & ( hskp0
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c1_1(X1) ) ) )
        & ( ( c1_1(a595)
            & c2_1(a595)
            & ~ c0_1(a595)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c3_1(a583)
            & c0_1(a583)
            & ~ c2_1(a583)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c1_1(a574)
            & c0_1(a574)
            & ~ c3_1(a574)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c2_1(a568)
            & ~ c1_1(a568)
            & ~ c0_1(a568)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c1_1(a566)
            & ~ c2_1(a566)
            & ~ c3_1(a566)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c1_1(a564)
            & c0_1(a564)
            & ~ c2_1(a564)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c1_1(a562)
            & ~ c0_1(a562)
            & ~ c3_1(a562)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c0_1(a561)
            & ~ c2_1(a561)
            & ~ c3_1(a561)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c2_1(a559)
            & c0_1(a559)
            & ~ c3_1(a559)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a557)
            & ~ c1_1(a557)
            & c3_1(a557)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c3_1(a556)
            & c1_1(a556)
            & ~ c2_1(a556)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c0_1(a555)
            & c3_1(a555)
            & ~ c2_1(a555)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c2_1(a551)
            & ~ c0_1(a551)
            & c3_1(a551)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c1_1(a549)
            & c2_1(a549)
            & c3_1(a549)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c0_1(a547)
            & c1_1(a547)
            & c2_1(a547)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c1_1(a544)
            & ~ c3_1(a544)
            & ~ c2_1(a544)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c2_1(a541)
            & c1_1(a541)
            & c0_1(a541)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c3_1(a538)
            & c1_1(a538)
            & c2_1(a538)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c3_1(a537)
            & ~ c1_1(a537)
            & c0_1(a537)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c0_1(a536)
            & c2_1(a536)
            & c1_1(a536)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c2_1(a596)
            & ~ c3_1(a596)
            & c0_1(a596)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c1_1(a594)
            & ~ c3_1(a594)
            & ~ c0_1(a594)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c0_1(a591)
            & ~ c2_1(a591)
            & c1_1(a591)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c1_1(a590)
            & ~ c0_1(a590)
            & ~ c3_1(a590)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c0_1(a589)
            & c3_1(a589)
            & c2_1(a589)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a586)
            & c1_1(a586)
            & ~ c0_1(a586)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a584)
            & c1_1(a584)
            & c0_1(a584)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a582)
            & ~ c2_1(a582)
            & ~ c3_1(a582)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a581)
            & ~ c1_1(a581)
            & c2_1(a581)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a578)
            & ~ c0_1(a578)
            & c3_1(a578)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a577)
            & c1_1(a577)
            & ~ c3_1(a577)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a576)
            & ~ c0_1(a576)
            & c1_1(a576)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a575)
            & ~ c0_1(a575)
            & ~ c2_1(a575)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a573)
            & ~ c0_1(a573)
            & ~ c2_1(a573)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a572)
            & c0_1(a572)
            & ~ c3_1(a572)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a571)
            & c3_1(a571)
            & c0_1(a571)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a570)
            & c1_1(a570)
            & c3_1(a570)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a569)
            & ~ c1_1(a569)
            & ~ c0_1(a569)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a567)
            & ~ c1_1(a567)
            & c0_1(a567)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a565)
            & c2_1(a565)
            & c3_1(a565)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a563)
            & ~ c0_1(a563)
            & c3_1(a563)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a560)
            & ~ c3_1(a560)
            & c1_1(a560)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a558)
            & c3_1(a558)
            & ~ c1_1(a558)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a554)
            & ~ c2_1(a554)
            & ~ c0_1(a554)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a552)
            & ~ c1_1(a552)
            & ~ c3_1(a552)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a550)
            & c3_1(a550)
            & c0_1(a550)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a548)
            & c3_1(a548)
            & ~ c2_1(a548)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a546)
            & c2_1(a546)
            & ~ c3_1(a546)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a545)
            & c1_1(a545)
            & ~ c2_1(a545)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a543)
            & ~ c0_1(a543)
            & ~ c1_1(a543)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a540)
            & c1_1(a540)
            & c2_1(a540)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a539)
            & ~ c1_1(a539)
            & ~ c2_1(a539)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a535)
            & c0_1(a535)
            & c1_1(a535)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164] :
      ( ( ~ c0_1(X164)
        | ~ c1_1(X164)
        | c3_1(X164)
        | ~ ndr1_0
        | hskp32
        | ~ c2_1(X163)
        | c3_1(X163)
        | ~ c1_1(X163)
        | ~ ndr1_0 )
      & ( hskp52
        | hskp31
        | hskp40 )
      & ( hskp46
        | ~ c3_1(X162)
        | ~ c2_1(X162)
        | ~ c1_1(X162)
        | ~ ndr1_0
        | c0_1(X161)
        | c3_1(X161)
        | ~ c2_1(X161)
        | ~ ndr1_0 )
      & ( hskp30
        | c1_1(X160)
        | ~ c3_1(X160)
        | c2_1(X160)
        | ~ ndr1_0
        | hskp29 )
      & ( hskp28
        | c2_1(X159)
        | c0_1(X159)
        | c1_1(X159)
        | ~ ndr1_0
        | c1_1(X158)
        | c0_1(X158)
        | c2_1(X158)
        | ~ ndr1_0 )
      & ( ~ c3_1(X157)
        | ~ c1_1(X157)
        | c2_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | ~ c3_1(X156)
        | ~ ndr1_0
        | hskp46 )
      & ( hskp4
        | hskp27
        | hskp6 )
      & ( hskp26
        | ~ c1_1(X155)
        | c3_1(X155)
        | c0_1(X155)
        | ~ ndr1_0
        | c1_1(X154)
        | c0_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0 )
      & ( hskp51
        | ~ c3_1(X153)
        | c1_1(X153)
        | ~ c0_1(X153)
        | ~ ndr1_0
        | c1_1(X152)
        | c2_1(X152)
        | c3_1(X152)
        | ~ ndr1_0 )
      & ( ~ c3_1(X151)
        | c2_1(X151)
        | ~ c0_1(X151)
        | ~ ndr1_0
        | c3_1(X150)
        | ~ c2_1(X150)
        | c1_1(X150)
        | ~ ndr1_0
        | c1_1(X149)
        | ~ c3_1(X149)
        | ~ c0_1(X149)
        | ~ ndr1_0 )
      & ( ~ c1_1(X148)
        | ~ c3_1(X148)
        | ~ c2_1(X148)
        | ~ ndr1_0
        | hskp25
        | c2_1(X147)
        | ~ c3_1(X147)
        | ~ c1_1(X147)
        | ~ ndr1_0 )
      & ( ~ c0_1(X146)
        | c2_1(X146)
        | c3_1(X146)
        | ~ ndr1_0
        | hskp24
        | hskp39 )
      & ( hskp34
        | ~ c2_1(X145)
        | ~ c0_1(X145)
        | ~ c1_1(X145)
        | ~ ndr1_0
        | c0_1(X144)
        | c3_1(X144)
        | ~ c1_1(X144)
        | ~ ndr1_0 )
      & ( hskp23
        | hskp22
        | ~ c0_1(X143)
        | c3_1(X143)
        | ~ c1_1(X143)
        | ~ ndr1_0 )
      & ( hskp21
        | hskp20
        | ~ c1_1(X142)
        | ~ c3_1(X142)
        | c2_1(X142)
        | ~ ndr1_0 )
      & ( hskp50
        | hskp19
        | c1_1(X141)
        | ~ c0_1(X141)
        | c2_1(X141)
        | ~ ndr1_0 )
      & ( hskp18
        | hskp17
        | hskp16 )
      & ( hskp15
        | c2_1(X140)
        | ~ c1_1(X140)
        | c3_1(X140)
        | ~ ndr1_0
        | c1_1(X139)
        | ~ c3_1(X139)
        | ~ c2_1(X139)
        | ~ ndr1_0 )
      & ( ~ c0_1(X138)
        | c3_1(X138)
        | c2_1(X138)
        | ~ ndr1_0
        | hskp49
        | ~ c3_1(X137)
        | ~ c0_1(X137)
        | c2_1(X137)
        | ~ ndr1_0 )
      & ( ~ c1_1(X136)
        | c0_1(X136)
        | c2_1(X136)
        | ~ ndr1_0
        | c1_1(X135)
        | c2_1(X135)
        | c3_1(X135)
        | ~ ndr1_0
        | hskp14 )
      & ( c0_1(X134)
        | c1_1(X134)
        | ~ c2_1(X134)
        | ~ ndr1_0
        | hskp48
        | hskp13 )
      & ( hskp47
        | c3_1(X133)
        | ~ c1_1(X133)
        | ~ c2_1(X133)
        | ~ ndr1_0
        | ~ c3_1(X132)
        | ~ c2_1(X132)
        | c0_1(X132)
        | ~ ndr1_0 )
      & ( c2_1(X131)
        | ~ c1_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c3_1(X130)
        | c2_1(X130)
        | c1_1(X130)
        | ~ ndr1_0
        | hskp12 )
      & ( c1_1(X129)
        | ~ c0_1(X129)
        | ~ c2_1(X129)
        | ~ ndr1_0
        | hskp46
        | ~ c1_1(X128)
        | c0_1(X128)
        | ~ c2_1(X128)
        | ~ ndr1_0 )
      & ( hskp45
        | ~ c1_1(X127)
        | c2_1(X127)
        | ~ c0_1(X127)
        | ~ ndr1_0
        | c3_1(X126)
        | c0_1(X126)
        | c2_1(X126)
        | ~ ndr1_0 )
      & ( c2_1(X125)
        | ~ c3_1(X125)
        | c0_1(X125)
        | ~ ndr1_0
        | hskp11
        | hskp44 )
      & ( ~ c2_1(X124)
        | ~ c3_1(X124)
        | ~ c0_1(X124)
        | ~ ndr1_0
        | ~ c1_1(X123)
        | c0_1(X123)
        | ~ c2_1(X123)
        | ~ ndr1_0
        | hskp10 )
      & ( ~ c0_1(X122)
        | c2_1(X122)
        | c1_1(X122)
        | ~ ndr1_0
        | hskp43
        | ~ c1_1(X121)
        | ~ c2_1(X121)
        | c0_1(X121)
        | ~ ndr1_0 )
      & ( c2_1(X120)
        | ~ c3_1(X120)
        | ~ c1_1(X120)
        | ~ ndr1_0
        | ~ c1_1(X119)
        | ~ c0_1(X119)
        | ~ c2_1(X119)
        | ~ ndr1_0
        | hskp42 )
      & ( ~ c3_1(X118)
        | c2_1(X118)
        | ~ c1_1(X118)
        | ~ ndr1_0
        | c1_1(X117)
        | c3_1(X117)
        | c2_1(X117)
        | ~ ndr1_0
        | ~ c3_1(X116)
        | ~ c2_1(X116)
        | c1_1(X116)
        | ~ ndr1_0 )
      & ( hskp41
        | hskp9
        | ~ c3_1(X115)
        | c0_1(X115)
        | ~ c1_1(X115)
        | ~ ndr1_0 )
      & ( c3_1(X114)
        | ~ c2_1(X114)
        | c0_1(X114)
        | ~ ndr1_0
        | c1_1(X113)
        | ~ c3_1(X113)
        | c0_1(X113)
        | ~ ndr1_0
        | ~ c0_1(X112)
        | ~ c1_1(X112)
        | c2_1(X112)
        | ~ ndr1_0 )
      & ( hskp38
        | ~ c3_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111)
        | ~ ndr1_0
        | ~ c3_1(X110)
        | c1_1(X110)
        | ~ c2_1(X110)
        | ~ ndr1_0 )
      & ( hskp8
        | ~ c3_1(X109)
        | ~ c0_1(X109)
        | c1_1(X109)
        | ~ ndr1_0
        | c1_1(X108)
        | ~ c2_1(X108)
        | c0_1(X108)
        | ~ ndr1_0 )
      & ( hskp40
        | hskp7
        | ~ c0_1(X107)
        | c1_1(X107)
        | ~ c2_1(X107)
        | ~ ndr1_0 )
      & ( hskp39
        | ~ c1_1(X106)
        | ~ c3_1(X106)
        | c2_1(X106)
        | ~ ndr1_0
        | c0_1(X105)
        | ~ c1_1(X105)
        | c3_1(X105)
        | ~ ndr1_0 )
      & ( hskp6
        | c0_1(X104)
        | ~ c3_1(X104)
        | ~ c1_1(X104)
        | ~ ndr1_0
        | c2_1(X103)
        | c1_1(X103)
        | c0_1(X103)
        | ~ ndr1_0 )
      & ( ~ c3_1(X102)
        | c2_1(X102)
        | c0_1(X102)
        | ~ ndr1_0
        | hskp38
        | c2_1(X101)
        | c1_1(X101)
        | c3_1(X101)
        | ~ ndr1_0 )
      & ( hskp5
        | c2_1(X100)
        | ~ c3_1(X100)
        | c1_1(X100)
        | ~ ndr1_0
        | ~ c1_1(X99)
        | ~ c2_1(X99)
        | c3_1(X99)
        | ~ ndr1_0 )
      & ( ~ c1_1(X98)
        | ~ c3_1(X98)
        | ~ c2_1(X98)
        | ~ ndr1_0
        | hskp4
        | ~ c1_1(X97)
        | c0_1(X97)
        | c3_1(X97)
        | ~ ndr1_0 )
      & ( ~ c0_1(X96)
        | ~ c2_1(X96)
        | c1_1(X96)
        | ~ ndr1_0
        | hskp37
        | c3_1(X95)
        | c1_1(X95)
        | ~ c0_1(X95)
        | ~ ndr1_0 )
      & ( hskp3
        | hskp34
        | hskp36 )
      & ( hskp2
        | hskp1
        | ~ c0_1(X94)
        | ~ c1_1(X94)
        | ~ c3_1(X94)
        | ~ ndr1_0 )
      & ( c2_1(X93)
        | c1_1(X93)
        | ~ c0_1(X93)
        | ~ ndr1_0
        | ~ c1_1(X92)
        | ~ c2_1(X92)
        | c3_1(X92)
        | ~ ndr1_0
        | hskp35 )
      & ( c3_1(X91)
        | c2_1(X91)
        | c1_1(X91)
        | ~ ndr1_0
        | ~ c3_1(X90)
        | ~ c2_1(X90)
        | ~ c1_1(X90)
        | ~ ndr1_0
        | hskp34 )
      & ( ~ c0_1(X89)
        | ~ c1_1(X89)
        | c3_1(X89)
        | ~ ndr1_0
        | c0_1(X88)
        | c3_1(X88)
        | c2_1(X88)
        | ~ ndr1_0
        | hskp33 )
      & ( ~ c2_1(X87)
        | ~ c1_1(X87)
        | ~ c0_1(X87)
        | ~ ndr1_0
        | ~ c3_1(X86)
        | c1_1(X86)
        | c2_1(X86)
        | ~ ndr1_0
        | ~ c0_1(X85)
        | ~ c1_1(X85)
        | c2_1(X85)
        | ~ ndr1_0 )
      & ( hskp0
        | ~ c0_1(X84)
        | ~ c1_1(X84)
        | ~ c2_1(X84)
        | ~ ndr1_0
        | c3_1(X83)
        | c2_1(X83)
        | c1_1(X83)
        | ~ ndr1_0 )
      & ( ~ hskp52
        | c1_1(a595) )
      & ( ~ hskp52
        | c2_1(a595) )
      & ( ~ hskp52
        | ~ c0_1(a595) )
      & ( ~ hskp52
        | ndr1_0 )
      & ( ~ hskp51
        | c3_1(a583) )
      & ( ~ hskp51
        | c0_1(a583) )
      & ( ~ hskp51
        | ~ c2_1(a583) )
      & ( ~ hskp51
        | ndr1_0 )
      & ( ~ hskp50
        | c1_1(a574) )
      & ( ~ hskp50
        | c0_1(a574) )
      & ( ~ hskp50
        | ~ c3_1(a574) )
      & ( ~ hskp50
        | ndr1_0 )
      & ( ~ hskp49
        | c2_1(a568) )
      & ( ~ hskp49
        | ~ c1_1(a568) )
      & ( ~ hskp49
        | ~ c0_1(a568) )
      & ( ~ hskp49
        | ndr1_0 )
      & ( ~ hskp48
        | c1_1(a566) )
      & ( ~ hskp48
        | ~ c2_1(a566) )
      & ( ~ hskp48
        | ~ c3_1(a566) )
      & ( ~ hskp48
        | ndr1_0 )
      & ( ~ hskp47
        | c1_1(a564) )
      & ( ~ hskp47
        | c0_1(a564) )
      & ( ~ hskp47
        | ~ c2_1(a564) )
      & ( ~ hskp47
        | ndr1_0 )
      & ( ~ hskp46
        | c1_1(a562) )
      & ( ~ hskp46
        | ~ c0_1(a562) )
      & ( ~ hskp46
        | ~ c3_1(a562) )
      & ( ~ hskp46
        | ndr1_0 )
      & ( ~ hskp45
        | c0_1(a561) )
      & ( ~ hskp45
        | ~ c2_1(a561) )
      & ( ~ hskp45
        | ~ c3_1(a561) )
      & ( ~ hskp45
        | ndr1_0 )
      & ( ~ hskp44
        | c2_1(a559) )
      & ( ~ hskp44
        | c0_1(a559) )
      & ( ~ hskp44
        | ~ c3_1(a559) )
      & ( ~ hskp44
        | ndr1_0 )
      & ( ~ hskp43
        | c0_1(a557) )
      & ( ~ hskp43
        | ~ c1_1(a557) )
      & ( ~ hskp43
        | c3_1(a557) )
      & ( ~ hskp43
        | ndr1_0 )
      & ( ~ hskp42
        | c3_1(a556) )
      & ( ~ hskp42
        | c1_1(a556) )
      & ( ~ hskp42
        | ~ c2_1(a556) )
      & ( ~ hskp42
        | ndr1_0 )
      & ( ~ hskp41
        | c0_1(a555) )
      & ( ~ hskp41
        | c3_1(a555) )
      & ( ~ hskp41
        | ~ c2_1(a555) )
      & ( ~ hskp41
        | ndr1_0 )
      & ( ~ hskp40
        | c2_1(a551) )
      & ( ~ hskp40
        | ~ c0_1(a551) )
      & ( ~ hskp40
        | c3_1(a551) )
      & ( ~ hskp40
        | ndr1_0 )
      & ( ~ hskp39
        | c1_1(a549) )
      & ( ~ hskp39
        | c2_1(a549) )
      & ( ~ hskp39
        | c3_1(a549) )
      & ( ~ hskp39
        | ndr1_0 )
      & ( ~ hskp38
        | c0_1(a547) )
      & ( ~ hskp38
        | c1_1(a547) )
      & ( ~ hskp38
        | c2_1(a547) )
      & ( ~ hskp38
        | ndr1_0 )
      & ( ~ hskp37
        | c1_1(a544) )
      & ( ~ hskp37
        | ~ c3_1(a544) )
      & ( ~ hskp37
        | ~ c2_1(a544) )
      & ( ~ hskp37
        | ndr1_0 )
      & ( ~ hskp36
        | c2_1(a541) )
      & ( ~ hskp36
        | c1_1(a541) )
      & ( ~ hskp36
        | c0_1(a541) )
      & ( ~ hskp36
        | ndr1_0 )
      & ( ~ hskp35
        | c3_1(a538) )
      & ( ~ hskp35
        | c1_1(a538) )
      & ( ~ hskp35
        | c2_1(a538) )
      & ( ~ hskp35
        | ndr1_0 )
      & ( ~ hskp34
        | c3_1(a537) )
      & ( ~ hskp34
        | ~ c1_1(a537) )
      & ( ~ hskp34
        | c0_1(a537) )
      & ( ~ hskp34
        | ndr1_0 )
      & ( ~ hskp33
        | c0_1(a536) )
      & ( ~ hskp33
        | c2_1(a536) )
      & ( ~ hskp33
        | c1_1(a536) )
      & ( ~ hskp33
        | ndr1_0 )
      & ( ~ hskp32
        | ~ c2_1(a596) )
      & ( ~ hskp32
        | ~ c3_1(a596) )
      & ( ~ hskp32
        | c0_1(a596) )
      & ( ~ hskp32
        | ndr1_0 )
      & ( ~ hskp31
        | ~ c1_1(a594) )
      & ( ~ hskp31
        | ~ c3_1(a594) )
      & ( ~ hskp31
        | ~ c0_1(a594) )
      & ( ~ hskp31
        | ndr1_0 )
      & ( ~ hskp30
        | ~ c0_1(a591) )
      & ( ~ hskp30
        | ~ c2_1(a591) )
      & ( ~ hskp30
        | c1_1(a591) )
      & ( ~ hskp30
        | ndr1_0 )
      & ( ~ hskp29
        | ~ c1_1(a590) )
      & ( ~ hskp29
        | ~ c0_1(a590) )
      & ( ~ hskp29
        | ~ c3_1(a590) )
      & ( ~ hskp29
        | ndr1_0 )
      & ( ~ hskp28
        | ~ c0_1(a589) )
      & ( ~ hskp28
        | c3_1(a589) )
      & ( ~ hskp28
        | c2_1(a589) )
      & ( ~ hskp28
        | ndr1_0 )
      & ( ~ hskp27
        | ~ c3_1(a586) )
      & ( ~ hskp27
        | c1_1(a586) )
      & ( ~ hskp27
        | ~ c0_1(a586) )
      & ( ~ hskp27
        | ndr1_0 )
      & ( ~ hskp26
        | ~ c3_1(a584) )
      & ( ~ hskp26
        | c1_1(a584) )
      & ( ~ hskp26
        | c0_1(a584) )
      & ( ~ hskp26
        | ndr1_0 )
      & ( ~ hskp25
        | ~ c1_1(a582) )
      & ( ~ hskp25
        | ~ c2_1(a582) )
      & ( ~ hskp25
        | ~ c3_1(a582) )
      & ( ~ hskp25
        | ndr1_0 )
      & ( ~ hskp24
        | ~ c3_1(a581) )
      & ( ~ hskp24
        | ~ c1_1(a581) )
      & ( ~ hskp24
        | c2_1(a581) )
      & ( ~ hskp24
        | ndr1_0 )
      & ( ~ hskp23
        | ~ c1_1(a578) )
      & ( ~ hskp23
        | ~ c0_1(a578) )
      & ( ~ hskp23
        | c3_1(a578) )
      & ( ~ hskp23
        | ndr1_0 )
      & ( ~ hskp22
        | ~ c0_1(a577) )
      & ( ~ hskp22
        | c1_1(a577) )
      & ( ~ hskp22
        | ~ c3_1(a577) )
      & ( ~ hskp22
        | ndr1_0 )
      & ( ~ hskp21
        | ~ c3_1(a576) )
      & ( ~ hskp21
        | ~ c0_1(a576) )
      & ( ~ hskp21
        | c1_1(a576) )
      & ( ~ hskp21
        | ndr1_0 )
      & ( ~ hskp20
        | ~ c3_1(a575) )
      & ( ~ hskp20
        | ~ c0_1(a575) )
      & ( ~ hskp20
        | ~ c2_1(a575) )
      & ( ~ hskp20
        | ndr1_0 )
      & ( ~ hskp19
        | ~ c1_1(a573) )
      & ( ~ hskp19
        | ~ c0_1(a573) )
      & ( ~ hskp19
        | ~ c2_1(a573) )
      & ( ~ hskp19
        | ndr1_0 )
      & ( ~ hskp18
        | ~ c1_1(a572) )
      & ( ~ hskp18
        | c0_1(a572) )
      & ( ~ hskp18
        | ~ c3_1(a572) )
      & ( ~ hskp18
        | ndr1_0 )
      & ( ~ hskp17
        | ~ c2_1(a571) )
      & ( ~ hskp17
        | c3_1(a571) )
      & ( ~ hskp17
        | c0_1(a571) )
      & ( ~ hskp17
        | ndr1_0 )
      & ( ~ hskp16
        | ~ c0_1(a570) )
      & ( ~ hskp16
        | c1_1(a570) )
      & ( ~ hskp16
        | c3_1(a570) )
      & ( ~ hskp16
        | ndr1_0 )
      & ( ~ hskp15
        | ~ c2_1(a569) )
      & ( ~ hskp15
        | ~ c1_1(a569) )
      & ( ~ hskp15
        | ~ c0_1(a569) )
      & ( ~ hskp15
        | ndr1_0 )
      & ( ~ hskp14
        | ~ c3_1(a567) )
      & ( ~ hskp14
        | ~ c1_1(a567) )
      & ( ~ hskp14
        | c0_1(a567) )
      & ( ~ hskp14
        | ndr1_0 )
      & ( ~ hskp13
        | ~ c1_1(a565) )
      & ( ~ hskp13
        | c2_1(a565) )
      & ( ~ hskp13
        | c3_1(a565) )
      & ( ~ hskp13
        | ndr1_0 )
      & ( ~ hskp12
        | ~ c2_1(a563) )
      & ( ~ hskp12
        | ~ c0_1(a563) )
      & ( ~ hskp12
        | c3_1(a563) )
      & ( ~ hskp12
        | ndr1_0 )
      & ( ~ hskp11
        | ~ c0_1(a560) )
      & ( ~ hskp11
        | ~ c3_1(a560) )
      & ( ~ hskp11
        | c1_1(a560) )
      & ( ~ hskp11
        | ndr1_0 )
      & ( ~ hskp10
        | ~ c0_1(a558) )
      & ( ~ hskp10
        | c3_1(a558) )
      & ( ~ hskp10
        | ~ c1_1(a558) )
      & ( ~ hskp10
        | ndr1_0 )
      & ( ~ hskp9
        | ~ c1_1(a554) )
      & ( ~ hskp9
        | ~ c2_1(a554) )
      & ( ~ hskp9
        | ~ c0_1(a554) )
      & ( ~ hskp9
        | ndr1_0 )
      & ( ~ hskp8
        | ~ c2_1(a552) )
      & ( ~ hskp8
        | ~ c1_1(a552) )
      & ( ~ hskp8
        | ~ c3_1(a552) )
      & ( ~ hskp8
        | ndr1_0 )
      & ( ~ hskp7
        | ~ c1_1(a550) )
      & ( ~ hskp7
        | c3_1(a550) )
      & ( ~ hskp7
        | c0_1(a550) )
      & ( ~ hskp7
        | ndr1_0 )
      & ( ~ hskp6
        | ~ c0_1(a548) )
      & ( ~ hskp6
        | c3_1(a548) )
      & ( ~ hskp6
        | ~ c2_1(a548) )
      & ( ~ hskp6
        | ndr1_0 )
      & ( ~ hskp5
        | ~ c1_1(a546) )
      & ( ~ hskp5
        | c2_1(a546) )
      & ( ~ hskp5
        | ~ c3_1(a546) )
      & ( ~ hskp5
        | ndr1_0 )
      & ( ~ hskp4
        | ~ c0_1(a545) )
      & ( ~ hskp4
        | c1_1(a545) )
      & ( ~ hskp4
        | ~ c2_1(a545) )
      & ( ~ hskp4
        | ndr1_0 )
      & ( ~ hskp3
        | ~ c3_1(a543) )
      & ( ~ hskp3
        | ~ c0_1(a543) )
      & ( ~ hskp3
        | ~ c1_1(a543) )
      & ( ~ hskp3
        | ndr1_0 )
      & ( ~ hskp2
        | ~ c3_1(a540) )
      & ( ~ hskp2
        | c1_1(a540) )
      & ( ~ hskp2
        | c2_1(a540) )
      & ( ~ hskp2
        | ndr1_0 )
      & ( ~ hskp1
        | ~ c0_1(a539) )
      & ( ~ hskp1
        | ~ c1_1(a539) )
      & ( ~ hskp1
        | ~ c2_1(a539) )
      & ( ~ hskp1
        | ndr1_0 )
      & ( ~ hskp0
        | ~ c2_1(a535) )
      & ( ~ hskp0
        | c0_1(a535) )
      & ( ~ hskp0
        | c1_1(a535) )
      & ( ~ hskp0
        | ndr1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ hskp3
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( hskp3
    | hskp34
    | hskp36 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ hskp34
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ hskp36
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_8,plain,
    ( ~ epred49_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ ndr1_0
        | c3_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_9,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).

fof(c_0_10,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp38
        | c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp33
        | c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp6
        | c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_13,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a543) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | epred49_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9])]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a543) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp38
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_9])]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a543) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_18,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_19,plain,
    ( ~ epred9_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | hskp26
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_20,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_21,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp33
    | epred11_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_11]),c_0_9])]) ).

cnf(c_0_22,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp6
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_12]),c_0_9])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ c2_1(a543)
    | ~ hskp3
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ hskp3
    | c2_1(a543)
    | hskp38
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ ndr1_0
    | ~ ndr1_0
    | hskp28
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred12_0 ),
    inference(split_equiv,[status(thm)],[c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ hskp26
    | c0_1(a584) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ hskp26
    | c1_1(a584) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a584) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp26
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_19]),c_0_9])]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ hskp27
    | c1_1(a586) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a586) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a586) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | epred18_0 ),
    inference(split_equiv,[status(thm)],[c_0_20]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ hskp33
    | c0_1(a536) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ hskp33
    | c1_1(a536) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ hskp33
    | c2_1(a536) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ hskp3
    | c2_1(a543)
    | hskp33
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_21]),c_0_15]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ hskp3
    | c2_1(a543)
    | hskp6
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_22]),c_0_17]) ).

fof(c_0_40,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_41,negated_conjecture,
    ( ~ hskp36
    | c0_1(a541) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ hskp36
    | c1_1(a541) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ hskp36
    | c2_1(a541) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ hskp3
    | hskp38
    | epred3_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ hskp38
    | c0_1(a547) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ hskp38
    | c1_1(a547) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ hskp38
    | c2_1(a547) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp28 ),
    inference(cn,[status(thm)],[c_0_25]) ).

fof(c_0_49,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_50,negated_conjecture,
    ( ~ hskp26
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ hskp27
    | hskp26
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ hskp33
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ hskp3
    | hskp33
    | epred11_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_38]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ hskp3
    | hskp6
    | epred5_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_39]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X2)
    | hskp38
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred16_0 ),
    inference(split_equiv,[status(thm)],[c_0_40]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ hskp34
    | c0_1(a537) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ hskp34
    | c3_1(a537) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ hskp34
    | ~ c1_1(a537) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ hskp36
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_41]),c_0_42]),c_0_43]) ).

cnf(c_0_61,negated_conjecture,
    ( hskp34
    | hskp36
    | hskp38
    | epred3_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_44,c_0_5]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ hskp38
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_46]),c_0_47]) ).

fof(c_0_63,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_64,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_65,negated_conjecture,
    ( ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp28 ),
    inference(condense,[status(thm)],[c_0_48]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a545) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_49]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a545) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ hskp4
    | c1_1(a545) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a548) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ hskp6
    | c3_1(a548) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a548) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ hskp27
    | epred9_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_74,negated_conjecture,
    ( hskp4
    | hskp27
    | hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp33 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ hskp3
    | epred11_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_77,negated_conjecture,
    ( hskp6
    | hskp34
    | hskp36
    | epred5_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_5]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | hskp38 ),
    inference(cn,[status(thm)],[c_0_55]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp34
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]) ).

cnf(c_0_80,negated_conjecture,
    ( hskp34
    | epred3_0
    | epred18_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ hskp28
    | ~ c0_1(a589) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_63]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ hskp28
    | c3_1(a589) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_64]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ hskp31
    | ~ c0_1(a594) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ hskp31
    | ~ c3_1(a594) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_87,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp28 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_9])]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ hskp31
    | ~ c1_1(a594) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ hskp52
    | ~ c0_1(a595) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ hskp52
    | c1_1(a595) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ hskp52
    | c2_1(a595) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ c3_1(a545)
    | ~ hskp4
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ hskp4
    | c3_1(a545)
    | hskp26
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_69]),c_0_66]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ hskp6
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_67]),c_0_71]),c_0_72]) ).

cnf(c_0_95,negated_conjecture,
    ( hskp4
    | hskp6
    | epred9_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | hskp33 ),
    inference(cn,[status(thm)],[c_0_75]) ).

cnf(c_0_97,negated_conjecture,
    ( hskp34
    | epred11_0
    | epred18_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_5]),c_0_60]) ).

fof(c_0_98,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp8
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_99,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp6
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_100,negated_conjecture,
    ( hskp6
    | hskp34
    | epred5_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_77]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_78,c_0_10]),c_0_49]) ).

cnf(c_0_102,negated_conjecture,
    ( epred3_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ c1_1(a589)
    | ~ hskp28
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ hskp28
    | c1_1(a589)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_84]),c_0_83]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ c2_1(a594)
    | ~ hskp31
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_14]),c_0_86]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ hskp31
    | c2_1(a594)
    | hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_87]),c_0_88]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ c3_1(a595)
    | ~ hskp52
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_82]),c_0_90]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ hskp52
    | c3_1(a595)
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_14]),c_0_91]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ hskp40
    | ~ c0_1(a551) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ hskp40
    | c3_1(a551) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp26
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ hskp4
    | hskp26
    | epred4_0
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_113,negated_conjecture,
    ( hskp4
    | epred4_0
    | epred9_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ epred11_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_96,c_0_11]),c_0_18]) ).

cnf(c_0_115,negated_conjecture,
    ( epred11_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_79,c_0_97]) ).

fof(c_0_116,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_117,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | hskp15
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_118,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | hskp37
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_119,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp8
    | epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_98]),c_0_9])]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ hskp40
    | c2_1(a551) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[c_0_99]) ).

cnf(c_0_122,negated_conjecture,
    ( hskp34
    | epred4_0
    | epred5_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_94,c_0_100]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ epred4_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp28
    | epred6_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp31
    | hskp28
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp52
    | epred6_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_127,negated_conjecture,
    ( hskp52
    | hskp31
    | hskp40 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ c1_1(a551)
    | ~ hskp40
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_82]),c_0_110]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp40
    | c1_1(a551)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_84]),c_0_110]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | hskp26 ),
    inference(cn,[status(thm)],[c_0_111]) ).

cnf(c_0_131,negated_conjecture,
    ( epred4_0
    | epred9_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_112]),c_0_113]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ epred12_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

fof(c_0_133,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp28
    | c2_1(a589) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_135,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_136,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

fof(c_0_137,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_138,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_139,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | hskp49
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_140,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | hskp43
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_141,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred42_0 ),
    inference(split_equiv,[status(thm)],[c_0_116]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a569) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a569) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a569) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp15
    | epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_9])]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ hskp37
    | c1_1(a544) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp37
    | ~ c2_1(a544) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp37
    | ~ c3_1(a544) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp37
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_118]),c_0_9])]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp18
    | c0_1(a572) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a572) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a572) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_153,plain,
    ( ~ epred24_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | hskp34
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_154,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_155,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp5
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a552) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a552) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a552) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp40
    | c1_1(a551)
    | hskp8
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_109]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp31
    | c2_1(a594)
    | hskp38
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_16]),c_0_88]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp8
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_121,c_0_12]),c_0_63]) ).

cnf(c_0_163,negated_conjecture,
    ( epred5_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_122]),c_0_123]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp31
    | epred6_0
    | epred10_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_165,negated_conjecture,
    ( hskp31
    | hskp40
    | epred6_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp40
    | epred6_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_130,c_0_19]),c_0_64]) ).

cnf(c_0_168,negated_conjecture,
    ( epred9_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_131]),c_0_132]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred32_0 ),
    inference(split_equiv,[status(thm)],[c_0_133]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp28
    | c1_1(a589)
    | hskp8
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_134]),c_0_81]) ).

fof(c_0_171,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp4
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_172,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_135]) ).

cnf(c_0_174,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_136]),c_0_9])]) ).

fof(c_0_175,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0
        | hskp38
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_176,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_137]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_9])]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp49
    | epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_9])]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp43
    | epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_9])]) ).

fof(c_0_180,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_181,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp28
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_141]),c_0_134]),c_0_83]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp15
    | hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_87]),c_0_143]),c_0_144]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ hskp37
    | hskp15
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_148]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp18
    | hskp37
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]) ).

cnf(c_0_186,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp34
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_9])]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred25_0 ),
    inference(split_equiv,[status(thm)],[c_0_154]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp5
    | epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_155]),c_0_9])]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp8
    | hskp38
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_16]),c_0_157]),c_0_158]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp40
    | hskp8
    | epred6_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_159]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp31
    | hskp38
    | epred3_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_105,c_0_160]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp8 ),
    inference(cn,[status(thm)],[c_0_161]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ epred6_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_194,negated_conjecture,
    ( epred6_0
    | epred10_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ epred10_0
    | epred16_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ c2_1(a586)
    | ~ hskp27
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_14]),c_0_33]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp27
    | c2_1(a586)
    | hskp33
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_33]) ).

fof(c_0_198,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_199,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp51
        | c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ( ~ c2_1(a586)
    | ~ hskp27
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_169]),c_0_31]) ).

fof(c_0_201,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_202,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp28
    | hskp8
    | epred6_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_103,c_0_170]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ c3_1(a545)
    | ~ hskp4
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_82]),c_0_69]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp4
    | c3_1(a545)
    | hskp15
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_69]),c_0_68]) ).

fof(c_0_206,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp46
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_207,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp4
    | epred36_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_9])]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_9])]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp0
    | c0_1(a535) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp0
    | c1_1(a535) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a535) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ c2_1(a572)
    | ~ hskp18
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_150]),c_0_151]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp18
    | hskp0
    | c2_1(a572)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_174]),c_0_151]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | hskp38
    | epred46_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_9])]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a567) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a567) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp14
    | c0_1(a567) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | epred23_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp49
    | c2_1(a568) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp49
    | ~ c1_1(a568) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ c2_1(a572)
    | ~ hskp18
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_177]),c_0_151]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp18
    | c2_1(a572)
    | hskp49
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_150]),c_0_152]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp43
    | c0_1(a557) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp43
    | c3_1(a557) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp43
    | ~ c1_1(a557) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp18
    | c2_1(a572)
    | hskp43
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_150]),c_0_151]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_180]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp51
    | c3_1(a583) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp51
    | ~ c2_1(a583) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred20_0 ),
    inference(split_equiv,[status(thm)],[c_0_181]) ).

fof(c_0_231,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp15
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp18
    | hskp15
    | epred22_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

fof(c_0_234,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp39
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp18
    | c2_1(a572)
    | hskp34
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_186]),c_0_151]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ c1_1(a589)
    | ~ hskp28
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_83]),c_0_134]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ c2_1(a543)
    | ~ hskp3
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_177]),c_0_17]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp3
    | c2_1(a543)
    | hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_87]),c_0_17]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a546) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp5
    | c2_1(a546) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a546) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp52
    | c3_1(a595)
    | hskp5
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_91]),c_0_90]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp40
    | hskp38
    | epred3_0
    | epred6_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_244,negated_conjecture,
    ( hskp38
    | hskp40
    | epred3_0
    | epred6_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_165]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ epred16_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_192,c_0_98]),c_0_40]) ).

cnf(c_0_246,negated_conjecture,
    ( epred16_0
    | epred18_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp27
    | hskp33
    | epred11_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp4
    | c3_1(a545)
    | hskp33
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_21]),c_0_68]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred27_0 ),
    inference(split_equiv,[status(thm)],[c_0_198]) ).

cnf(c_0_250,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp51
    | epred15_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_9])]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp27
    | hskp33
    | epred11_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_200,c_0_197]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred14_0 ),
    inference(split_equiv,[status(thm)],[c_0_201]) ).

cnf(c_0_253,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_202]),c_0_9])]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp15
    | hskp8
    | epred6_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_203,c_0_183]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp4
    | hskp15
    | epred6_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp46
    | epred33_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_9])]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp27
    | hskp4
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_31]),c_0_32]),c_0_33]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp46
    | c1_1(a562) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp46
    | ~ c0_1(a562) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp46
    | ~ c3_1(a562) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp17
    | c3_1(a571) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a571) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp17
    | c0_1(a571) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_211]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp18
    | hskp0
    | epred17_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | hskp38
    | epred46_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_177]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ c2_1(a567)
    | ~ hskp14
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_177]),c_0_216]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp14
    | c2_1(a567)
    | hskp49
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_217]),c_0_215]) ).

fof(c_0_269,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp14
        | c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp49
    | epred23_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp18
    | hskp49
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp43
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_223]),c_0_224]),c_0_225]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp18
    | hskp43
    | epred29_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_226]) ).

fof(c_0_274,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp35
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_275,negated_conjecture,
    ( ~ c1_1(a548)
    | ~ hskp6
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_71]),c_0_72]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp6
    | c1_1(a548)
    | hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_87]),c_0_72]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ c1_1(a583)
    | ~ hskp51
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ hskp51
    | c1_1(a583)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_228]),c_0_229]) ).

fof(c_0_279,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp45
        | c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_280,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | hskp50
    | hskp19
    | c1_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred35_0 ),
    inference(split_equiv,[status(thm)],[c_0_231]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ hskp18
    | c2_1(a572)
    | hskp38
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_16]),c_0_151]) ).

fof(c_0_283,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a570) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp16
    | c3_1(a570) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp16
    | c1_1(a570) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp18
    | epred22_0
    | epred28_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_288,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp39
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_234]),c_0_9])]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp18
    | hskp34
    | epred24_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_221,c_0_235]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp3
    | c2_1(a543)
    | hskp34
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_186]),c_0_17]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp28
    | epred10_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_236,c_0_104]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp3
    | hskp28
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp28
    | c1_1(a589)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_83]),c_0_134]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ c2_1(a594)
    | ~ hskp31
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_177]),c_0_88]) ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp5
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_177]),c_0_240]),c_0_241]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp52
    | hskp5
    | epred6_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_107,c_0_242]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ hskp40
    | epred3_0
    | epred6_0
    | epred18_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_243]) ).

cnf(c_0_299,negated_conjecture,
    ( hskp40
    | epred3_0
    | epred6_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_244]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ epred21_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp27
    | epred11_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_247]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp4
    | hskp33
    | epred4_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_92,c_0_248]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp18
    | c2_1(a572)
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_150]),c_0_151]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ c1_1(a589)
    | ~ hskp28
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_169]),c_0_134]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp51
    | c0_1(a583) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ hskp18
    | c2_1(a572)
    | hskp51
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_250]),c_0_151]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ hskp27
    | epred11_0
    | epred18_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_251]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ c2_1(a584)
    | ~ hskp26
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_28]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp26
    | c2_1(a584)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_27]),c_0_28]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp23
    | c3_1(a578) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a578) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a578) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp8
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_253]),c_0_157]),c_0_158]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ hskp4
    | hskp8
    | epred6_0
    | epred21_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_315,negated_conjecture,
    ( ~ hskp6
    | hskp46
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_71]),c_0_70]),c_0_72]) ).

cnf(c_0_316,negated_conjecture,
    ( hskp4
    | hskp6
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_257,c_0_74]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ hskp46
    | hskp4
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_258]),c_0_259]),c_0_260]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ c1_1(a571)
    | ~ hskp17
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_261]),c_0_262]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp17
    | c1_1(a571)
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_263]),c_0_261]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ hskp18
    | epred17_0
    | epred29_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp49
    | hskp38
    | epred46_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_219]),c_0_220]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp14
    | hskp49
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_323,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp14
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_269]),c_0_9])]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ hskp17
    | c1_1(a571)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_261]),c_0_262]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp18
    | epred23_0
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

fof(c_0_326,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | hskp47
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_327,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp32
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp50
    | c0_1(a574) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ hskp50
    | ~ c3_1(a574) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_330,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred20_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_253]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ hskp17
    | c1_1(a571)
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_263]),c_0_262]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp18
    | epred16_0
    | epred29_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ hskp15
    | hskp6
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_22]),c_0_143]),c_0_144]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp35
    | epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_274]),c_0_9])]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | epred10_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_84]) ).

fof(c_0_336,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp46
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_337,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | hskp42
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_338,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp25
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_339,negated_conjecture,
    ( ~ hskp28
    | hskp8
    | epred21_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_236,c_0_170]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp6
    | hskp28
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp51
    | epred8_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_342,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp51
    | epred15_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_250]) ).

cnf(c_0_343,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp45
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_279]),c_0_9])]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp41
    | hskp9
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a560) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_346,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a560) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp19
    | hskp50 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_9])]) ).

cnf(c_0_348,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_182,c_0_87]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred10_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_281,c_0_84]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp18
    | hskp38
    | epred3_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_282]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp50
    | c1_1(a574) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_283]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp11
    | hskp44 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_354,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp24
    | hskp39 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp40
    | hskp7
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp23
    | hskp22
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_357,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp46
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_358,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp34
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp49
    | ~ c0_1(a568) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp32
    | c0_1(a596) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ hskp32
    | ~ c2_1(a596) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp32
    | ~ c3_1(a596) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp45
    | c0_1(a561) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp45
    | ~ c2_1(a561) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ hskp45
    | ~ c3_1(a561) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp41
    | c0_1(a555) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ hskp41
    | ~ c2_1(a555) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ c2_1(a570)
    | ~ hskp16
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_141]),c_0_285]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ hskp16
    | c2_1(a570)
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_285]),c_0_286]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp17
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_263]),c_0_261]),c_0_262]) ).

cnf(c_0_371,negated_conjecture,
    ( hskp16
    | hskp17
    | epred22_0
    | epred28_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp39
    | c3_1(a549) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp39
    | c1_1(a549) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp39
    | c2_1(a549) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp27
    | hskp39
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_31]),c_0_32]),c_0_33]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | epred18_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_169]) ).

cnf(c_0_377,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp34
    | epred24_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_290,c_0_288]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp3
    | hskp34
    | epred24_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_291]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp3
    | epred10_0
    | epred25_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp3
    | hskp38
    | epred3_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_24]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp3
    | hskp33
    | epred11_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_38]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp28
    | epred6_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_103,c_0_294]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ hskp31
    | hskp28
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_106]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ hskp52
    | epred6_0
    | epred19_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp40
    | c1_1(a551)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_110]),c_0_120]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ hskp47
    | c0_1(a564) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp47
    | ~ c2_1(a564) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp47
    | c1_1(a564) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_389,negated_conjecture,
    ( epred3_0
    | epred6_0
    | epred18_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_300]) ).

cnf(c_0_390,negated_conjecture,
    ( hskp4
    | hskp6
    | epred11_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_301,c_0_74]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp4
    | epred4_0
    | epred11_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_302]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp44
    | c2_1(a559) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp44
    | ~ c3_1(a559) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ hskp18
    | epred27_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_221,c_0_303]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp28
    | epred23_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_304,c_0_294]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ hskp52
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_169]),c_0_90]),c_0_91]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ c1_1(a551)
    | ~ hskp40
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_169]),c_0_120]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ hskp51
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_305]),c_0_228]),c_0_229]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp18
    | hskp51
    | epred15_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_306]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a582) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a582) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a582) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_403,negated_conjecture,
    ( hskp4
    | hskp6
    | epred11_0
    | epred18_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_307,c_0_74]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ hskp11
    | c1_1(a560) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ hskp26
    | epred14_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a554) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a554) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a554) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a573) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a573) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a573) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ c2_1(a578)
    | ~ hskp23
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_310]),c_0_311]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp23
    | c2_1(a578)
    | hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_87]),c_0_311]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp7
    | c3_1(a550) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a550) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ hskp7
    | c0_1(a550) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp41
    | c3_1(a555) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X2)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c1_1(X2)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | hskp42 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp38
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp25
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp47
    | c3_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp46
    | c0_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp46
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp34
    | c0_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | hskp32
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp4
    | c0_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | hskp49
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | c2_1(X1)
    | hskp46 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | hskp43
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp39
    | c2_1(X2)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp37
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | hskp35 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | hskp34 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp15
    | c2_1(X2)
    | c3_1(X2)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp5
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp51
    | c1_1(X2)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp45
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp4
    | epred6_0
    | epred21_0
    | epred22_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_445,negated_conjecture,
    ( hskp4
    | epred33_0
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_317]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp37
    | c0_1(a544)
    | hskp4
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_146]),c_0_148]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp17
    | epred8_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_448,negated_conjecture,
    ( hskp16
    | hskp17
    | epred17_0
    | epred29_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_320,c_0_288]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ hskp14
    | hskp38
    | epred34_0
    | epred46_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp8
    | hskp14
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_323]),c_0_157]),c_0_158]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp17
    | epred8_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_318,c_0_324]) ).

cnf(c_0_452,negated_conjecture,
    ( hskp16
    | hskp17
    | epred23_0
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_325,c_0_288]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp47
    | epred41_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_326]),c_0_9])]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp26
    | c2_1(a584)
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_27]),c_0_28]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp32
    | epred37_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_327]),c_0_9])]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp50
    | c2_1(a574)
    | hskp49
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_328]),c_0_329]) ).

cnf(c_0_457,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | epred20_0
    | epred21_0
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_330]),c_0_313]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp17
    | epred8_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_318,c_0_331]) ).

cnf(c_0_459,negated_conjecture,
    ( hskp16
    | hskp17
    | epred16_0
    | epred29_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_332,c_0_288]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp4
    | c3_1(a545)
    | hskp39
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_69]),c_0_66]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ hskp18
    | hskp6
    | epred5_0
    | epred22_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_333,c_0_233]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ hskp33
    | c3_1(a536)
    | hskp35
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_37]),c_0_36]) ).

cnf(c_0_463,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred10_0
    | epred16_0
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_186]),c_0_79]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp46
    | epred40_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_336]),c_0_9])]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp42
    | epred47_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_337]),c_0_9])]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp25
    | epred45_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_338]),c_0_9])]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ hskp27
    | c2_1(a586)
    | hskp15
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_31]),c_0_33]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ hskp8
    | hskp0
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_174]),c_0_157]),c_0_158]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp6
    | hskp8
    | epred8_0
    | epred21_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ hskp5
    | c0_1(a546)
    | hskp8
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_240]),c_0_241]) ).

cnf(c_0_471,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred8_0
    | epred15_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ hskp4
    | c3_1(a545)
    | hskp45
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_343]),c_0_68]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | hskp9
    | hskp41 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_9])]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ hskp11
    | c2_1(a560)
    | hskp33
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_21]),c_0_346]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ hskp46
    | c2_1(a562)
    | hskp33
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_21]),c_0_260]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ hskp37
    | c0_1(a544)
    | hskp26
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_146]),c_0_148]) ).

cnf(c_0_477,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp19
    | hskp50
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_478,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | epred10_0
    | epred35_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_253]) ).

cnf(c_0_479,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp38
    | epred3_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_288]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred6_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_82]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ hskp50
    | c2_1(a574)
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_328]),c_0_351]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp27
    | c2_1(a586)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_352]),c_0_31]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp11
    | hskp44 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_9])]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp24
    | hskp39 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_9])]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | hskp7
    | hskp40 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_9])]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | hskp22
    | hskp23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_9])]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | hskp46
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_357]),c_0_9])]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp34
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_358]),c_0_9])]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ hskp22
    | c1_1(a577) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp4
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_352]),c_0_69]),c_0_68]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ hskp49
    | hskp8
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_219]),c_0_220]),c_0_359]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ hskp32
    | hskp49
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_360]),c_0_361]),c_0_362]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ c1_1(a571)
    | ~ hskp17
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_263]),c_0_262]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ c1_1(a596)
    | ~ hskp32
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_360]),c_0_361]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ hskp32
    | hskp0
    | c1_1(a596)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_174]),c_0_361]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp45
    | hskp49
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_363]),c_0_364]),c_0_365]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ hskp28
    | c1_1(a589)
    | hskp38
    | epred46_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_266,c_0_134]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ c1_1(a571)
    | ~ hskp17
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_263]),c_0_262]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp17
    | c1_1(a571)
    | hskp43
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_263]),c_0_262]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ c1_1(a555)
    | ~ hskp41
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_366]),c_0_367]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ hskp41
    | c1_1(a555)
    | hskp43
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_366]),c_0_367]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp16
    | epred8_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_503,negated_conjecture,
    ( hskp16
    | epred22_0
    | epred28_0
    | epred35_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ hskp39
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_372]),c_0_373]),c_0_374]) ).

cnf(c_0_505,negated_conjecture,
    ( hskp4
    | hskp6
    | hskp39
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_375,c_0_74]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp39
    | epred18_0
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_374]),c_0_373]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ hskp46
    | hskp39
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_258]),c_0_259]),c_0_260]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp16
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_82]),c_0_286]),c_0_285]) ).

cnf(c_0_509,negated_conjecture,
    ( hskp16
    | hskp34
    | epred24_0
    | epred35_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_370,c_0_377]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ hskp44
    | c0_1(a559) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_511,negated_conjecture,
    ( hskp34
    | hskp36
    | epred24_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_5]) ).

cnf(c_0_512,negated_conjecture,
    ( hskp34
    | hskp36
    | epred10_0
    | epred25_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_5]) ).

cnf(c_0_513,negated_conjecture,
    ( hskp34
    | hskp36
    | hskp38
    | epred3_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_380,c_0_5]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ c1_1(a561)
    | ~ hskp45
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_363]),c_0_365]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp45
    | c1_1(a561)
    | hskp34
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_186]),c_0_364]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ hskp3
    | epred11_0
    | epred18_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_381]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp31
    | epred6_0
    | epred23_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

cnf(c_0_518,negated_conjecture,
    ( hskp31
    | hskp40
    | epred6_0
    | epred19_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_384,c_0_127]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ hskp40
    | epred6_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_385]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ c3_1(a564)
    | ~ hskp47
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_386]),c_0_387]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp47
    | c3_1(a564)
    | hskp15
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_388]),c_0_387]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ c2_1(a574)
    | ~ hskp50
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_328]),c_0_351]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ hskp50
    | c2_1(a574)
    | hskp15
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_351]),c_0_329]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ epred4_0
    | epred6_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_101,c_0_389]) ).

cnf(c_0_525,negated_conjecture,
    ( epred4_0
    | epred11_0
    | epred18_0
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_390]),c_0_391]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ c1_1(a559)
    | ~ hskp44
    | hskp5
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_392]),c_0_393]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ hskp44
    | c1_1(a559)
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_177]),c_0_392]) ).

cnf(c_0_528,negated_conjecture,
    ( hskp16
    | hskp17
    | epred27_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_394,c_0_288]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a581) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ hskp24
    | c2_1(a581) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a581) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ hskp31
    | epred23_0
    | epred32_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_383]) ).

cnf(c_0_533,negated_conjecture,
    ( hskp31
    | hskp40
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_396,c_0_127]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ hskp40
    | epred23_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_385]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ hskp8
    | hskp51
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_250]),c_0_157]),c_0_158]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp18
    | epred15_0
    | epred29_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_399]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ hskp25
    | hskp51
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_250]),c_0_401]),c_0_402]) ).

cnf(c_0_538,negated_conjecture,
    ( hskp4
    | epred4_0
    | epred11_0
    | epred18_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_94,c_0_403]) ).

cnf(c_0_539,negated_conjecture,
    ( ~ hskp4
    | hskp33
    | epred6_0
    | epred11_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_248]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ hskp11
    | hskp26
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_404]),c_0_345]),c_0_346]) ).

cnf(c_0_541,negated_conjecture,
    ( ~ hskp27
    | epred9_0
    | epred14_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_405,c_0_51]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ hskp46
    | hskp26
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_258]),c_0_259]),c_0_260]) ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp15
    | hskp51
    | epred15_0
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_342]),c_0_143]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ hskp28
    | epred23_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_236,c_0_294]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ hskp9
    | hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_87]),c_0_407]),c_0_408]) ).

cnf(c_0_546,negated_conjecture,
    ( ~ hskp19
    | hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_87]),c_0_410]),c_0_411]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ hskp23
    | hskp28
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_548,negated_conjecture,
    ( ~ c2_1(a550)
    | ~ hskp7
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_414]),c_0_415]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ hskp7
    | c2_1(a550)
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_416]),c_0_414]) ).

cnf(c_0_550,negated_conjecture,
    ( ~ c2_1(a537)
    | ~ hskp34
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_57]),c_0_59]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp34
    | c2_1(a537)
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_57]),c_0_58]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ c2_1(a537)
    | ~ hskp34
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_58]),c_0_59]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ c2_1(a557)
    | ~ hskp43
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_224]),c_0_225]) ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp43
    | c2_1(a557)
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_223]),c_0_224]) ).

cnf(c_0_555,negated_conjecture,
    ( ~ hskp23
    | c2_1(a578)
    | hskp6
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_22]),c_0_311]) ).

cnf(c_0_556,negated_conjecture,
    ( ~ c2_1(a570)
    | ~ hskp16
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_285]),c_0_286]) ).

cnf(c_0_557,negated_conjecture,
    ( ~ hskp35
    | c3_1(a538) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_558,negated_conjecture,
    ( ~ hskp35
    | c1_1(a538) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_559,negated_conjecture,
    ( ~ hskp35
    | c2_1(a538) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ c1_1(a551)
    | ~ hskp40
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_110]),c_0_120]) ).

cnf(c_0_561,negated_conjecture,
    ( ~ hskp34
    | c2_1(a537)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_58]),c_0_59]) ).

cnf(c_0_562,negated_conjecture,
    ( ~ hskp6
    | c1_1(a548)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_71]),c_0_72]) ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp41
    | c1_1(a555)
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_417]),c_0_367]) ).

cnf(c_0_564,negated_conjecture,
    ( ~ hskp41
    | c1_1(a555)
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_366]),c_0_417]) ).

cnf(c_0_565,negated_conjecture,
    ( ~ c1_1(a555)
    | ~ hskp41
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_417]),c_0_367]) ).

cnf(c_0_566,negated_conjecture,
    ( ~ hskp6
    | c1_1(a548)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_84]),c_0_71]) ).

cnf(c_0_567,negated_conjecture,
    ( ~ hskp42
    | c3_1(a556) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_568,negated_conjecture,
    ( ~ hskp42
    | c1_1(a556) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_569,negated_conjecture,
    ( ~ hskp42
    | ~ c2_1(a556) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_570,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_418]) ).

cnf(c_0_571,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_419]) ).

cnf(c_0_572,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_420]) ).

cnf(c_0_573,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_421]) ).

cnf(c_0_574,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | hskp42 ),
    inference(cn,[status(thm)],[c_0_422]) ).

cnf(c_0_575,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp38 ),
    inference(cn,[status(thm)],[c_0_423]) ).

cnf(c_0_576,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp25 ),
    inference(cn,[status(thm)],[c_0_424]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X1)
    | hskp47 ),
    inference(cn,[status(thm)],[c_0_425]) ).

cnf(c_0_578,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp46 ),
    inference(cn,[status(thm)],[c_0_426]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X2)
    | hskp46 ),
    inference(cn,[status(thm)],[c_0_427]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp34 ),
    inference(cn,[status(thm)],[c_0_428]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | hskp32 ),
    inference(cn,[status(thm)],[c_0_429]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(cn,[status(thm)],[c_0_430]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | hskp49 ),
    inference(cn,[status(thm)],[c_0_431]) ).

cnf(c_0_584,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp46 ),
    inference(cn,[status(thm)],[c_0_432]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | hskp43 ),
    inference(cn,[status(thm)],[c_0_433]) ).

cnf(c_0_586,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp39 ),
    inference(cn,[status(thm)],[c_0_434]) ).

cnf(c_0_587,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp37 ),
    inference(cn,[status(thm)],[c_0_435]) ).

cnf(c_0_588,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp35 ),
    inference(cn,[status(thm)],[c_0_436]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | hskp34 ),
    inference(cn,[status(thm)],[c_0_437]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | hskp15 ),
    inference(cn,[status(thm)],[c_0_438]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp5 ),
    inference(cn,[status(thm)],[c_0_439]) ).

cnf(c_0_592,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[c_0_440]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp51 ),
    inference(cn,[status(thm)],[c_0_441]) ).

cnf(c_0_594,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp45 ),
    inference(cn,[status(thm)],[c_0_442]) ).

cnf(c_0_595,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | hskp14 ),
    inference(cn,[status(thm)],[c_0_443]) ).

cnf(c_0_596,negated_conjecture,
    ( epred33_0
    | epred36_0
    | epred6_0
    | epred21_0
    | epred22_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_597,negated_conjecture,
    ( ~ hskp37
    | ~ c1_1(a544)
    | hskp4
    | epred36_0
    | c2_1(a544)
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_446]) ).

cnf(c_0_598,negated_conjecture,
    ( hskp16
    | epred17_0
    | epred29_0
    | epred51_0
    | epred8_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ hskp8
    | epred1_0
    | hskp38
    | epred34_0
    | epred46_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_600,negated_conjecture,
    ( hskp16
    | epred23_0
    | epred34_0
    | epred50_0
    | epred8_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_451,c_0_452]) ).

cnf(c_0_601,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a584)
    | epred51_0
    | c3_1(a584)
    | hskp47
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a584)
    | epred51_0
    | c3_1(a584)
    | hskp32
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_455,c_0_454]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a584)
    | epred51_0
    | c3_1(a584)
    | hskp5
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_454]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ hskp50
    | ~ c1_1(a574)
    | hskp49
    | epred34_0
    | c3_1(a574)
    | hskp32
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_455,c_0_456]) ).

cnf(c_0_605,negated_conjecture,
    ( ~ hskp6
    | c1_1(a548)
    | epred20_0
    | epred21_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_457]) ).

cnf(c_0_606,negated_conjecture,
    ( hskp16
    | epred16_0
    | epred29_0
    | epred31_0
    | epred8_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_459]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ hskp4
    | hskp39
    | epred30_0
    | c0_1(a545)
    | c2_1(a545)
    | hskp46
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_256,c_0_460]) ).

cnf(c_0_608,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp6
    | epred5_0
    | epred22_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_461,c_0_288]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ hskp18
    | epred22_0
    | epred28_0
    | hskp8
    | epred6_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_254,c_0_233]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ hskp33
    | ~ c1_1(a536)
    | ~ c2_1(a536)
    | hskp35
    | epred26_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_187,c_0_462]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ hskp45
    | c1_1(a561)
    | epred10_0
    | epred16_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_364,c_0_463]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ hskp3
    | hskp34
    | epred24_0
    | c0_1(a543)
    | c3_1(a543)
    | hskp46
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_291]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ hskp3
    | hskp34
    | epred24_0
    | c1_1(a543)
    | c0_1(a543)
    | hskp8
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_119,c_0_291]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp15
    | epred22_0
    | c2_1(a545)
    | hskp42
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_465,c_0_205]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp15
    | epred22_0
    | c2_1(a545)
    | hskp25
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_205]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp15
    | epred22_0
    | c2_1(a545)
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_227,c_0_205]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a586)
    | hskp15
    | epred22_0
    | epred18_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_376,c_0_467]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a586)
    | hskp15
    | epred22_0
    | c3_1(a586)
    | hskp47
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_467]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a586)
    | hskp15
    | epred22_0
    | c3_1(a586)
    | hskp35
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_334,c_0_467]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ hskp6
    | epred8_0
    | epred21_0
    | epred25_0
    | hskp0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_468,c_0_469]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ hskp6
    | epred8_0
    | epred21_0
    | epred25_0
    | hskp38
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_469]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ hskp5
    | hskp8
    | epred21_0
    | c1_1(a546)
    | c3_1(a546)
    | hskp37
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_470]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ hskp14
    | c1_1(a567)
    | epred8_0
    | epred15_0
    | epred20_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_267,c_0_471]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp45
    | epred13_0
    | c2_1(a545)
    | hskp25
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_472]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp33
    | epred11_0
    | c0_1(a545)
    | hskp9
    | hskp41 ),
    inference(spm,[status(thm)],[c_0_473,c_0_248]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp33
    | epred11_0
    | c2_1(a545)
    | hskp25
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_248]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a560)
    | hskp33
    | epred11_0
    | c3_1(a560)
    | hskp5
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_474]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ hskp46
    | ~ c1_1(a562)
    | hskp33
    | epred11_0
    | c3_1(a562)
    | hskp5
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_475]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp26
    | epred9_0
    | c2_1(a545)
    | hskp25
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_93]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a545)
    | hskp26
    | epred9_0
    | c2_1(a545)
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_227,c_0_93]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ hskp37
    | ~ c1_1(a544)
    | hskp26
    | epred9_0
    | c2_1(a544)
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_476]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ hskp37
    | ~ c1_1(a544)
    | hskp26
    | epred9_0
    | c2_1(a544)
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_252,c_0_476]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ hskp18
    | c1_1(a572)
    | hskp19
    | hskp50
    | epred42_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_477]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ hskp6
    | c1_1(a548)
    | epred10_0
    | epred35_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_478]) ).

cnf(c_0_635,negated_conjecture,
    ( hskp16
    | hskp38
    | epred3_0
    | epred29_0
    | epred8_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_447,c_0_479]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ hskp3
    | hskp38
    | epred3_0
    | c0_1(a543)
    | c3_1(a543)
    | hskp46
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_464,c_0_24]) ).

cnf(c_0_637,negated_conjecture,
    ( ~ hskp39
    | ~ c1_1(a549)
    | ~ c2_1(a549)
    | epred6_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_480,c_0_372]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ hskp50
    | ~ c1_1(a574)
    | epred14_0
    | c3_1(a574)
    | hskp5
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_481]) ).

cnf(c_0_639,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a586)
    | epred2_0
    | c3_1(a586)
    | hskp35
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_334,c_0_482]) ).

cnf(c_0_640,negated_conjecture,
    ( ~ hskp6
    | c0_1(a548)
    | c2_1(a548)
    | hskp11
    | hskp44 ),
    inference(spm,[status(thm)],[c_0_483,c_0_71]) ).

cnf(c_0_641,negated_conjecture,
    ( ~ hskp17
    | c1_1(a571)
    | c2_1(a571)
    | hskp19
    | hskp50 ),
    inference(spm,[status(thm)],[c_0_347,c_0_263]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ hskp18
    | c1_1(a572)
    | c2_1(a572)
    | hskp19
    | hskp50 ),
    inference(spm,[status(thm)],[c_0_347,c_0_150]) ).

cnf(c_0_643,negated_conjecture,
    ( ~ hskp41
    | c1_1(a555)
    | c2_1(a555)
    | hskp19
    | hskp50 ),
    inference(spm,[status(thm)],[c_0_347,c_0_366]) ).

cnf(c_0_644,negated_conjecture,
    ( ~ hskp43
    | c1_1(a557)
    | c2_1(a557)
    | hskp19
    | hskp50 ),
    inference(spm,[status(thm)],[c_0_347,c_0_223]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ hskp14
    | c2_1(a567)
    | c3_1(a567)
    | hskp24
    | hskp39 ),
    inference(spm,[status(thm)],[c_0_484,c_0_217]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ hskp18
    | c2_1(a572)
    | c3_1(a572)
    | hskp24
    | hskp39 ),
    inference(spm,[status(thm)],[c_0_484,c_0_150]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a572)
    | c1_1(a572)
    | hskp7
    | hskp40 ),
    inference(spm,[status(thm)],[c_0_485,c_0_150]) ).

cnf(c_0_648,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a570)
    | c0_1(a570)
    | hskp9
    | hskp41 ),
    inference(spm,[status(thm)],[c_0_473,c_0_285]) ).

cnf(c_0_649,negated_conjecture,
    ( ~ hskp40
    | ~ c1_1(a551)
    | c0_1(a551)
    | hskp9
    | hskp41 ),
    inference(spm,[status(thm)],[c_0_473,c_0_110]) ).

cnf(c_0_650,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a584)
    | c3_1(a584)
    | hskp22
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_486,c_0_27]) ).

cnf(c_0_651,negated_conjecture,
    ( ~ hskp45
    | ~ c1_1(a561)
    | c3_1(a561)
    | hskp22
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_486,c_0_363]) ).

cnf(c_0_652,negated_conjecture,
    ( ~ hskp50
    | ~ c1_1(a574)
    | c3_1(a574)
    | hskp22
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_486,c_0_328]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ hskp34
    | ~ c2_1(a537)
    | c1_1(a537)
    | hskp38
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_58]) ).

cnf(c_0_654,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a548)
    | c2_1(a548)
    | hskp25
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_71]) ).

cnf(c_0_655,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a571)
    | c2_1(a571)
    | hskp25
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_261]) ).

cnf(c_0_656,negated_conjecture,
    ( ~ hskp41
    | ~ c1_1(a555)
    | c2_1(a555)
    | hskp25
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_466,c_0_417]) ).

cnf(c_0_657,negated_conjecture,
    ( ~ hskp44
    | ~ c1_1(a559)
    | c3_1(a559)
    | hskp47
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_392]) ).

cnf(c_0_658,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a589)
    | c0_1(a589)
    | hskp46
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_487,c_0_134]) ).

cnf(c_0_659,negated_conjecture,
    ( ~ hskp4
    | c0_1(a545)
    | c3_1(a545)
    | hskp34
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_488,c_0_69]) ).

cnf(c_0_660,negated_conjecture,
    ( ~ hskp22
    | c0_1(a577)
    | c3_1(a577)
    | hskp34
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_488,c_0_489]) ).

cnf(c_0_661,negated_conjecture,
    ( ~ hskp27
    | c0_1(a586)
    | c3_1(a586)
    | hskp34
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_488,c_0_31]) ).

cnf(c_0_662,negated_conjecture,
    ( ~ hskp46
    | c0_1(a562)
    | c3_1(a562)
    | hskp34
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_488,c_0_258]) ).

cnf(c_0_663,negated_conjecture,
    ( ~ hskp11
    | hskp4
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_404]),c_0_345]),c_0_346]) ).

cnf(c_0_664,negated_conjecture,
    ( ~ hskp46
    | epred2_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_490,c_0_317]) ).

cnf(c_0_665,negated_conjecture,
    ( ~ hskp14
    | hskp8
    | epred21_0
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_491,c_0_322]) ).

cnf(c_0_666,negated_conjecture,
    ( ~ hskp14
    | epred23_0
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_322]) ).

cnf(c_0_667,negated_conjecture,
    ( ~ hskp32
    | epred23_0
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_492]) ).

cnf(c_0_668,negated_conjecture,
    ( ~ hskp17
    | epred16_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_319]) ).

cnf(c_0_669,negated_conjecture,
    ( ~ hskp32
    | hskp0
    | epred17_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_494,c_0_495]) ).

cnf(c_0_670,negated_conjecture,
    ( ~ hskp45
    | epred23_0
    | epred34_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_496]) ).

cnf(c_0_671,negated_conjecture,
    ( ~ hskp47
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_386]),c_0_388]),c_0_387]) ).

cnf(c_0_672,negated_conjecture,
    ( ~ hskp28
    | hskp38
    | epred6_0
    | epred46_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_103,c_0_497]) ).

cnf(c_0_673,negated_conjecture,
    ( ~ hskp17
    | hskp43
    | epred14_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_674,negated_conjecture,
    ( ~ hskp34
    | c2_1(a537)
    | hskp43
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_57]),c_0_59]) ).

cnf(c_0_675,negated_conjecture,
    ( ~ hskp41
    | hskp43
    | epred14_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_501]) ).

cnf(c_0_676,negated_conjecture,
    ( epred8_0
    | epred22_0
    | epred28_0
    | epred35_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_502,c_0_503]) ).

cnf(c_0_677,negated_conjecture,
    ( hskp4
    | hskp6
    | epred25_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_504,c_0_505]) ).

cnf(c_0_678,negated_conjecture,
    ( ~ hskp46
    | epred18_0
    | epred30_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_679,negated_conjecture,
    ( ~ hskp46
    | epred25_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_504,c_0_507]) ).

cnf(c_0_680,negated_conjecture,
    ( hskp34
    | epred6_0
    | epred24_0
    | epred35_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_508,c_0_509]) ).

cnf(c_0_681,negated_conjecture,
    ( ~ hskp44
    | c1_1(a559)
    | hskp37
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_510]),c_0_393]) ).

cnf(c_0_682,negated_conjecture,
    ( hskp34
    | epred18_0
    | epred24_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_511]) ).

cnf(c_0_683,negated_conjecture,
    ( ~ hskp8
    | hskp34
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_186]),c_0_157]),c_0_158]) ).

cnf(c_0_684,negated_conjecture,
    ( hskp34
    | epred10_0
    | epred18_0
    | epred25_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_512]) ).

cnf(c_0_685,negated_conjecture,
    ( ~ hskp25
    | hskp34
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_186]),c_0_401]),c_0_402]) ).

cnf(c_0_686,negated_conjecture,
    ( hskp34
    | epred3_0
    | epred18_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_513]),c_0_62]) ).

cnf(c_0_687,negated_conjecture,
    ( ~ hskp45
    | hskp34
    | epred12_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_688,negated_conjecture,
    ( hskp34
    | epred11_0
    | epred18_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_5]),c_0_60]) ).

cnf(c_0_689,negated_conjecture,
    ( epred6_0
    | epred19_0
    | epred23_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_519]) ).

cnf(c_0_690,negated_conjecture,
    ( ~ hskp47
    | hskp15
    | epred22_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_691,negated_conjecture,
    ( ~ hskp50
    | hskp15
    | epred18_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_522,c_0_523]) ).

cnf(c_0_692,negated_conjecture,
    ( epred6_0
    | epred11_0
    | epred18_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_524,c_0_525]) ).

cnf(c_0_693,negated_conjecture,
    ( ~ hskp15
    | hskp8
    | epred21_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_339,c_0_183]) ).

cnf(c_0_694,negated_conjecture,
    ( ~ hskp44
    | hskp5
    | epred19_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_526,c_0_527]) ).

cnf(c_0_695,negated_conjecture,
    ( hskp16
    | epred8_0
    | epred27_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_528]) ).

cnf(c_0_696,negated_conjecture,
    ( ~ hskp24
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_177]),c_0_530]),c_0_531]) ).

cnf(c_0_697,negated_conjecture,
    ( ~ hskp14
    | hskp0
    | c2_1(a567)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_174]),c_0_216]) ).

cnf(c_0_698,negated_conjecture,
    ( epred23_0
    | epred32_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_534]) ).

cnf(c_0_699,negated_conjecture,
    ( ~ hskp8
    | epred15_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_535]) ).

cnf(c_0_700,negated_conjecture,
    ( hskp16
    | epred15_0
    | epred29_0
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_288]),c_0_370]) ).

cnf(c_0_701,negated_conjecture,
    ( ~ hskp25
    | epred15_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_537]) ).

cnf(c_0_702,negated_conjecture,
    ( epred4_0
    | epred11_0
    | epred18_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_391,c_0_538]) ).

cnf(c_0_703,negated_conjecture,
    ( ~ hskp4
    | epred6_0
    | epred11_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_539]) ).

cnf(c_0_704,negated_conjecture,
    ( ~ hskp25
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_253]),c_0_401]),c_0_402]) ).

cnf(c_0_705,negated_conjecture,
    ( ~ hskp11
    | epred9_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_540]) ).

cnf(c_0_706,negated_conjecture,
    ( hskp4
    | hskp6
    | epred9_0
    | epred14_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_541,c_0_74]) ).

cnf(c_0_707,negated_conjecture,
    ( ~ hskp46
    | epred9_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_542]) ).

cnf(c_0_708,negated_conjecture,
    ( ~ hskp15
    | epred8_0
    | epred15_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_341,c_0_543]) ).

cnf(c_0_709,negated_conjecture,
    ( ~ hskp6
    | epred8_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_182,c_0_340]) ).

cnf(c_0_710,negated_conjecture,
    ( ~ hskp9
    | epred23_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_545]) ).

cnf(c_0_711,negated_conjecture,
    ( ~ hskp15
    | epred10_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_183]) ).

cnf(c_0_712,negated_conjecture,
    ( ~ hskp19
    | epred23_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_546]) ).

cnf(c_0_713,negated_conjecture,
    ( ~ hskp19
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_182,c_0_546]) ).

cnf(c_0_714,negated_conjecture,
    ( ~ hskp23
    | epred23_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_547]) ).

cnf(c_0_715,negated_conjecture,
    ( ~ hskp9
    | hskp6
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_22]),c_0_407]),c_0_408]) ).

cnf(c_0_716,negated_conjecture,
    ( ~ hskp7
    | epred23_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_548,c_0_549]) ).

cnf(c_0_717,negated_conjecture,
    ( ~ hskp34
    | epred29_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_718,negated_conjecture,
    ( ~ hskp34
    | epred23_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_552,c_0_551]) ).

cnf(c_0_719,negated_conjecture,
    ( ~ hskp41
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_366]),c_0_417]),c_0_367]) ).

cnf(c_0_720,negated_conjecture,
    ( ~ hskp43
    | epred23_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_553,c_0_554]) ).

cnf(c_0_721,negated_conjecture,
    ( ~ hskp19
    | hskp6
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_22]),c_0_410]),c_0_411]) ).

cnf(c_0_722,negated_conjecture,
    ( ~ hskp23
    | hskp6
    | epred5_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_555]) ).

cnf(c_0_723,negated_conjecture,
    ( ~ hskp44
    | c1_1(a559)
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_510]),c_0_392]) ).

cnf(c_0_724,negated_conjecture,
    ( ~ hskp16
    | epred8_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_556,c_0_369]) ).

cnf(c_0_725,negated_conjecture,
    ( ~ hskp35
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_557]),c_0_558]),c_0_559]) ).

cnf(c_0_726,negated_conjecture,
    ( ~ hskp40
    | epred23_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_385]) ).

cnf(c_0_727,negated_conjecture,
    ( ~ hskp34
    | epred20_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_552,c_0_561]) ).

cnf(c_0_728,negated_conjecture,
    ( ~ hskp6
    | epred8_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_562]) ).

cnf(c_0_729,negated_conjecture,
    ( ~ hskp41
    | epred14_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_563]) ).

cnf(c_0_730,negated_conjecture,
    ( ~ hskp7
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_416]),c_0_414]),c_0_415]) ).

cnf(c_0_731,negated_conjecture,
    ( ~ hskp41
    | epred14_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_500,c_0_564]) ).

cnf(c_0_732,negated_conjecture,
    ( ~ hskp41
    | epred8_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_565,c_0_564]) ).

cnf(c_0_733,negated_conjecture,
    ( ~ hskp50
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_328]),c_0_351]),c_0_329]) ).

cnf(c_0_734,negated_conjecture,
    ( ~ hskp6
    | epred8_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_275,c_0_566]) ).

cnf(c_0_735,negated_conjecture,
    ( ~ hskp42
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_567]),c_0_568]),c_0_569]) ).

cnf(c_0_736,negated_conjecture,
    ( ~ hskp25
    | hskp14
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_323]),c_0_401]),c_0_402]) ).

cnf(c_0_737,negated_conjecture,
    ( ~ epred18_0
    | ~ epred20_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_570,c_0_172]),c_0_181]),c_0_20]) ).

cnf(c_0_738,negated_conjecture,
    ( ~ epred16_0
    | ~ epred35_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_571,c_0_138]),c_0_231]),c_0_40]) ).

cnf(c_0_739,negated_conjecture,
    ( ~ epred10_0
    | ~ epred14_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_572,c_0_8]),c_0_201]),c_0_64]) ).

cnf(c_0_740,negated_conjecture,
    ( ~ epred8_0
    | ~ epred23_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_573,c_0_202]),c_0_180]),c_0_137]) ).

cnf(c_0_741,negated_conjecture,
    ( ~ epred18_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_574,c_0_337]),c_0_20]) ).

cnf(c_0_742,negated_conjecture,
    ( ~ epred25_0
    | ~ epred46_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_575,c_0_175]),c_0_154]) ).

cnf(c_0_743,negated_conjecture,
    ( ~ epred25_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_576,c_0_338]),c_0_154]) ).

cnf(c_0_744,negated_conjecture,
    ( ~ epred41_0
    | ~ epred42_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_577,c_0_326]),c_0_116]) ).

cnf(c_0_745,negated_conjecture,
    ( ~ epred25_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_578,c_0_336]),c_0_154]) ).

cnf(c_0_746,negated_conjecture,
    ( ~ epred29_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_579,c_0_357]),c_0_135]) ).

cnf(c_0_747,negated_conjecture,
    ( ~ epred18_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_580,c_0_358]),c_0_20]) ).

cnf(c_0_748,negated_conjecture,
    ( ~ epred12_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_581,c_0_327]),c_0_18]) ).

cnf(c_0_749,negated_conjecture,
    ( ~ epred25_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_582,c_0_171]),c_0_154]) ).

cnf(c_0_750,negated_conjecture,
    ( ~ epred34_0
    | ~ epred35_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_583,c_0_139]),c_0_231]) ).

cnf(c_0_751,negated_conjecture,
    ( ~ epred8_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_584,c_0_206]),c_0_180]) ).

cnf(c_0_752,negated_conjecture,
    ( ~ epred31_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_585,c_0_140]),c_0_133]) ).

cnf(c_0_753,negated_conjecture,
    ( ~ epred8_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_586,c_0_234]),c_0_180]) ).

cnf(c_0_754,negated_conjecture,
    ( ~ epred28_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_587,c_0_118]),c_0_135]) ).

cnf(c_0_755,negated_conjecture,
    ( ~ epred26_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_588,c_0_274]),c_0_198]) ).

cnf(c_0_756,negated_conjecture,
    ( ~ epred24_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_589,c_0_153]),c_0_154]) ).

cnf(c_0_757,negated_conjecture,
    ( ~ epred22_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_590,c_0_117]),c_0_137]) ).

cnf(c_0_758,negated_conjecture,
    ( ~ epred19_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_591,c_0_155]),c_0_181]) ).

cnf(c_0_759,negated_conjecture,
    ( ~ epred17_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_592,c_0_136]),c_0_20]) ).

cnf(c_0_760,negated_conjecture,
    ( ~ epred15_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_593,c_0_199]),c_0_40]) ).

cnf(c_0_761,negated_conjecture,
    ( ~ epred13_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_594,c_0_279]),c_0_201]) ).

cnf(c_0_762,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_595,c_0_269]),c_0_283]) ).

cnf(c_0_763,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a577) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_764,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a577) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_765,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_625,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_632,c_0_633,c_0_634,c_0_635,c_0_636,c_0_637,c_0_638,c_0_639,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_651,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_662,c_0_663,c_0_316,c_0_257,c_0_664,c_0_317,c_0_264,c_0_665,c_0_452,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_315,c_0_672,c_0_673,c_0_499,c_0_226,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_507,c_0_680,c_0_233,c_0_185,c_0_681,c_0_377,c_0_682,c_0_683,c_0_290,c_0_235,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_296,c_0_184,c_0_690,c_0_691,c_0_469,c_0_692,c_0_693,c_0_339,c_0_203,c_0_170,c_0_159,c_0_267,c_0_694,c_0_695,c_0_221,c_0_696,c_0_468,c_0_697,c_0_213,c_0_698,c_0_699,c_0_700,c_0_306,c_0_701,c_0_80,c_0_702,c_0_703,c_0_704,c_0_131,c_0_705,c_0_540,c_0_706,c_0_73,c_0_707,c_0_542,c_0_708,c_0_709,c_0_340,c_0_710,c_0_711,c_0_232,c_0_183,c_0_712,c_0_713,c_0_714,c_0_715,c_0_716,c_0_370,c_0_717,c_0_718,c_0_551,c_0_719,c_0_720,c_0_333,c_0_398,c_0_721,c_0_722,c_0_723,c_0_303,c_0_724,c_0_725,c_0_504,c_0_726,c_0_282,c_0_727,c_0_552,c_0_385,c_0_553,c_0_728,c_0_562,c_0_729,c_0_405,c_0_52,c_0_60,c_0_62,c_0_730,c_0_447,c_0_79,c_0_731,c_0_732,c_0_272,c_0_500,c_0_50,c_0_733,c_0_734,c_0_566,c_0_450,c_0_166,c_0_129,c_0_318,c_0_735,c_0_204,c_0_736,c_0_508,c_0_94,c_0_490,c_0_486,c_0_270,c_0_227,c_0_737,c_0_738,c_0_739,c_0_740,c_0_741,c_0_742,c_0_743,c_0_744,c_0_745,c_0_746,c_0_747,c_0_748,c_0_749,c_0_750,c_0_751,c_0_752,c_0_753,c_0_754,c_0_755,c_0_756,c_0_757,c_0_245,c_0_758,c_0_759,c_0_760,c_0_761,c_0_114,c_0_167,c_0_162,c_0_101,c_0_762,c_0_329,c_0_260,c_0_259,c_0_365,c_0_393,c_0_225,c_0_367,c_0_109,c_0_147,c_0_59,c_0_81,c_0_33,c_0_32,c_0_29,c_0_763,c_0_764,c_0_152,c_0_151,c_0_262,c_0_284,c_0_215,c_0_216,c_0_346,c_0_72,c_0_70,c_0_239,c_0_241,c_0_68,c_0_66,c_0_15,c_0_13,c_0_17,c_0_211,c_0_374,c_0_37,c_0_209,c_0_351,c_0_258,c_0_373,c_0_146,c_0_36,c_0_31,c_0_28,c_0_286,c_0_404,c_0_69,c_0_210,c_0_288,c_0_74,c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN439+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n011.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 21 10:56:11 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44  Running first-order theorem proving
% 0.16/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.41/1.88  % Version: 3.5.1
% 10.41/1.88  % Preprocessing class: FSLMSLSMSSSNFFN.
% 10.41/1.88  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.41/1.88  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 10.41/1.88  % Starting new_bool_3 with 600s (2) cores
% 10.41/1.88  % Starting new_bool_1 with 600s (2) cores
% 10.41/1.88  % Starting sh5l with 300s (1) cores
% 10.41/1.88  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1728043 completed with status 0
% 10.41/1.88  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 10.41/1.88  % Preprocessing class: FSLMSLSMSSSNFFN.
% 10.41/1.88  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.41/1.88  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 10.41/1.88  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.41/1.88  % No SInE strategy applied
% 10.41/1.88  % Search class: FGHNF-FSMS00-SFFFFFNN
% 10.41/1.88  % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 10.41/1.88  % Starting SubtermCWHack with 91s (1) cores
% 10.41/1.88  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 541s (1) cores
% 10.41/1.88  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 91s (1) cores
% 10.41/1.88  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 1728049 completed with status 0
% 10.41/1.88  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 10.41/1.88  % Preprocessing class: FSLMSLSMSSSNFFN.
% 10.41/1.88  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.41/1.88  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 10.41/1.88  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.41/1.88  % No SInE strategy applied
% 10.41/1.88  % Search class: FGHNF-FSMS00-SFFFFFNN
% 10.41/1.88  % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 10.41/1.88  % Starting SubtermCWHack with 91s (1) cores
% 10.41/1.88  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 541s (1) cores
% 10.41/1.88  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 91s (1) cores
% 10.41/1.88  % Preprocessing time       : 0.002 s
% 10.41/1.88  % SatCheck found unsatisfiable ground set
% 10.41/1.88  
% 10.41/1.88  % Proof found!
% 10.41/1.88  % SZS status Theorem
% 10.41/1.88  % SZS output start CNFRefutation
% See solution above
% 10.41/1.88  % Parsed axioms                        : 1
% 10.41/1.88  % Removed by relevancy pruning/SinE    : 0
% 10.41/1.88  % Initial clauses                      : 260
% 10.41/1.88  % Removed in clause preprocessing      : 0
% 10.41/1.88  % Initial clauses in saturation        : 260
% 10.41/1.88  % Processed clauses                    : 7457
% 10.41/1.88  % ...of these trivial                  : 0
% 10.41/1.88  % ...subsumed                          : 2457
% 10.41/1.88  % ...remaining for further processing  : 5000
% 10.41/1.88  % Other redundant clauses eliminated   : 0
% 10.41/1.88  % Clauses deleted for lack of memory   : 0
% 10.41/1.88  % Backward-subsumed                    : 1009
% 10.41/1.88  % Backward-rewritten                   : 64
% 10.41/1.88  % Generated clauses                    : 47505
% 10.41/1.88  % ...of the previous two non-redundant : 45257
% 10.41/1.88  % ...aggressively subsumed             : 0
% 10.41/1.88  % Contextual simplify-reflections      : 745
% 10.41/1.88  % Paramodulations                      : 47421
% 10.41/1.88  % Factorizations                       : 0
% 10.41/1.88  % NegExts                              : 0
% 10.41/1.88  % Equation resolutions                 : 0
% 10.41/1.88  % Disequality decompositions           : 0
% 10.41/1.88  % Total rewrite steps                  : 97
% 10.41/1.88  % ...of those cached                   : 96
% 10.41/1.88  % Propositional unsat checks           : 1
% 10.41/1.88  %    Propositional check models        : 0
% 10.41/1.88  %    Propositional check unsatisfiable : 1
% 10.41/1.88  %    Propositional clauses             : 41374
% 10.41/1.88  %    Propositional clauses after purity: 40370
% 10.41/1.88  %    Propositional unsat core size     : 288
% 10.41/1.88  %    Propositional preprocessing time  : 0.000
% 10.41/1.88  %    Propositional encoding time       : 0.012
% 10.41/1.88  %    Propositional solver time         : 0.034
% 10.41/1.88  %    Success case prop preproc time    : 0.000
% 10.41/1.88  %    Success case prop encoding time   : 0.012
% 10.41/1.88  %    Success case prop solver time     : 0.034
% 10.41/1.88  % Current number of processed clauses  : 3894
% 10.41/1.88  %    Positive orientable unit clauses  : 1
% 10.41/1.88  %    Positive unorientable unit clauses: 0
% 10.41/1.88  %    Negative unit clauses             : 0
% 10.41/1.88  %    Non-unit-clauses                  : 3893
% 10.41/1.88  % Current number of unprocessed clauses: 37480
% 10.41/1.88  % ...number of literals in the above   : 252666
% 10.41/1.88  % Current number of archived formulas  : 0
% 10.41/1.88  % Current number of archived clauses   : 1073
% 10.41/1.88  % Clause-clause subsumption calls (NU) : 5005869
% 10.41/1.88  % Rec. Clause-clause subsumption calls : 350217
% 10.41/1.88  % Non-unit clause-clause subsumptions  : 4250
% 10.41/1.88  % Unit Clause-clause subsumption calls : 4
% 10.41/1.88  % Rewrite failures with RHS unbound    : 0
% 10.41/1.88  % BW rewrite match attempts            : 1
% 10.41/1.88  % BW rewrite match successes           : 1
% 10.41/1.88  % Condensation attempts                : 7457
% 10.41/1.88  % Condensation successes               : 1
% 10.41/1.88  % Termbank termtop insertions          : 455947
% 10.41/1.88  % Search garbage collected termcells   : 1618
% 10.41/1.88  
% 10.41/1.88  % -------------------------------------------------
% 10.41/1.88  % User time                : 1.352 s
% 10.41/1.88  % System time              : 0.044 s
% 10.41/1.88  % Total time               : 1.396 s
% 10.41/1.88  % Maximum resident set size: 4684 pages
% 10.41/1.88  
% 10.41/1.88  % -------------------------------------------------
% 10.41/1.88  % User time                : 4.052 s
% 10.41/1.88  % System time              : 0.111 s
% 10.41/1.88  % Total time               : 4.163 s
% 10.41/1.88  % Maximum resident set size: 5120 pages
% 10.41/1.88  % E exiting
%------------------------------------------------------------------------------