TSTP Solution File: SYN469+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN469+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 10:21:19 EDT 2024

% Result   : Theorem 39.15s 5.44s
% Output   : CNFRefutation 39.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  562 (   2 unt;   0 def)
%            Number of atoms       : 4325 (   0 equ)
%            Maximal formula atoms :  754 (   7 avg)
%            Number of connectives : 5566 (1803   ~;2964   |; 549   &)
%                                         (  36 <=>; 214  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  293 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   71 (  70 usr;  67 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  540 (   0 sgn 357   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a400)
          & c2_1(a400)
          & ~ c3_1(a400) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a401)
          & c1_1(a401)
          & ~ c3_1(a401) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a402)
          & ~ c1_1(a402)
          & ~ c2_1(a402) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a403)
          & ~ c2_1(a403)
          & ~ c3_1(a403) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a404)
          & c3_1(a404)
          & ~ c2_1(a404) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a408)
          & c3_1(a408)
          & ~ c0_1(a408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a409)
          & ~ c0_1(a409)
          & ~ c3_1(a409) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a410)
          & ~ c1_1(a410)
          & ~ c3_1(a410) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a415)
          & c3_1(a415)
          & ~ c1_1(a415) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a416)
          & ~ c0_1(a416)
          & ~ c1_1(a416) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a418)
          & ~ c0_1(a418)
          & ~ c2_1(a418) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a420)
          & ~ c1_1(a420)
          & ~ c2_1(a420) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a426)
          & c1_1(a426)
          & ~ c2_1(a426) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a427)
          & c2_1(a427)
          & ~ c0_1(a427) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a428)
          & ~ c0_1(a428)
          & ~ c1_1(a428) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a430)
          & c2_1(a430)
          & ~ c3_1(a430) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a434)
          & ~ c0_1(a434)
          & ~ c3_1(a434) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a439)
          & ~ c2_1(a439)
          & ~ c3_1(a439) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a440)
          & ~ c2_1(a440)
          & ~ c3_1(a440) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a445)
          & c3_1(a445)
          & ~ c0_1(a445) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a449)
          & c3_1(a449)
          & ~ c2_1(a449) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a450)
          & ~ c1_1(a450)
          & ~ c3_1(a450) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a451)
          & c2_1(a451)
          & ~ c1_1(a451) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a460)
          & ~ c2_1(a460)
          & ~ c3_1(a460) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a477)
          & ~ c0_1(a477)
          & ~ c2_1(a477) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a405)
          & c1_1(a405)
          & c3_1(a405) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a407)
          & c2_1(a407)
          & c3_1(a407) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a412)
          & c1_1(a412)
          & c2_1(a412) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a414)
          & c2_1(a414)
          & c3_1(a414) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c2_1(X2)
              | ~ c3_1(X2) ) )
        | hskp0 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | ~ c0_1(X4)
              | ~ c1_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c0_1(X5)
              | ~ c2_1(X5)
              | ~ c3_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp1
        | hskp2 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c1_1(X11)
              | ~ c2_1(X11) ) )
        | hskp3 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c2_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c3_1(X14)
              | ~ c1_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp4 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | ~ c0_1(X19)
              | ~ c3_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp25
        | hskp3 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | hskp26
        | hskp5 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c3_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c2_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c3_1(X26)
              | ~ c2_1(X26) ) )
        | hskp6 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | c3_1(X28)
              | ~ c1_1(X28) ) )
        | hskp7 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | ~ c0_1(X30)
              | ~ c1_1(X30) ) )
        | hskp4 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp27
        | hskp0 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | hskp28 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | hskp8
        | hskp9 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | ~ c0_1(X39)
              | ~ c2_1(X39) ) )
        | hskp4 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c1_1(X41)
              | ~ c3_1(X41) ) )
        | hskp10 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | hskp0
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp5
        | hskp3 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c3_1(X45)
              | ~ c0_1(X45) ) )
        | hskp9 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp1 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | hskp9 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | hskp12 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | hskp13 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | hskp14 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c3_1(X57)
              | ~ c0_1(X57) ) )
        | hskp1 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | ~ c0_1(X60)
              | ~ c2_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | hskp15
        | hskp6 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c0_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | hskp27
        | hskp9 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | hskp16
        | hskp3 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) )
        | hskp11 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c1_1(X70)
              | ~ c2_1(X70) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | hskp4 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp2
        | hskp17 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp18
        | hskp3 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp9 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) )
        | hskp12
        | hskp1 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp19 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp3 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp4
        | hskp3 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) )
        | hskp20
        | hskp21 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) )
        | hskp22 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | hskp2
        | hskp11 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c1_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp20 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp28
        | hskp4 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp2
        | hskp7 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp27
        | hskp23 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp12
        | hskp9 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp7
        | hskp16 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) )
        | hskp25
        | hskp28 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c1_1(X100)
              | ~ c3_1(X100) ) )
        | hskp2
        | hskp13 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp4
        | hskp5 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | hskp20 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c0_1(X103)
              | ~ c1_1(X103) ) )
        | hskp20
        | hskp5 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c1_1(X104)
              | ~ c2_1(X104) ) )
        | hskp12
        | hskp10 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c2_1(X105) ) )
        | hskp19
        | hskp24 )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c2_1(X106)
              | ~ c3_1(X106) ) )
        | hskp22
        | hskp11 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | hskp4
        | hskp9 )
      & ( hskp25
        | hskp24
        | hskp21 )
      & ( hskp15
        | hskp7
        | hskp3 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( hskp8
        | hskp3
        | hskp17 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vTBRVpGhit/E---3.1_26680.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a400)
            & c2_1(a400)
            & ~ c3_1(a400) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a401)
            & c1_1(a401)
            & ~ c3_1(a401) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a402)
            & ~ c1_1(a402)
            & ~ c2_1(a402) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a403)
            & ~ c2_1(a403)
            & ~ c3_1(a403) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a404)
            & c3_1(a404)
            & ~ c2_1(a404) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a408)
            & c3_1(a408)
            & ~ c0_1(a408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a409)
            & ~ c0_1(a409)
            & ~ c3_1(a409) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a410)
            & ~ c1_1(a410)
            & ~ c3_1(a410) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a415)
            & c3_1(a415)
            & ~ c1_1(a415) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a416)
            & ~ c0_1(a416)
            & ~ c1_1(a416) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a418)
            & ~ c0_1(a418)
            & ~ c2_1(a418) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a420)
            & ~ c1_1(a420)
            & ~ c2_1(a420) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a426)
            & c1_1(a426)
            & ~ c2_1(a426) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a427)
            & c2_1(a427)
            & ~ c0_1(a427) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a428)
            & ~ c0_1(a428)
            & ~ c1_1(a428) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a430)
            & c2_1(a430)
            & ~ c3_1(a430) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a434)
            & ~ c0_1(a434)
            & ~ c3_1(a434) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a439)
            & ~ c2_1(a439)
            & ~ c3_1(a439) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a440)
            & ~ c2_1(a440)
            & ~ c3_1(a440) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a445)
            & c3_1(a445)
            & ~ c0_1(a445) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a449)
            & c3_1(a449)
            & ~ c2_1(a449) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a450)
            & ~ c1_1(a450)
            & ~ c3_1(a450) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a451)
            & c2_1(a451)
            & ~ c1_1(a451) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a460)
            & ~ c2_1(a460)
            & ~ c3_1(a460) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a477)
            & ~ c0_1(a477)
            & ~ c2_1(a477) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a405)
            & c1_1(a405)
            & c3_1(a405) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a407)
            & c2_1(a407)
            & c3_1(a407) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a412)
            & c1_1(a412)
            & c2_1(a412) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a414)
            & c2_1(a414)
            & c3_1(a414) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c0_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | ~ c2_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp1
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c1_1(X11)
                | ~ c2_1(X11) ) )
          | hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c3_1(X14)
                | ~ c1_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp4 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | ~ c0_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp25
          | hskp3 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp26
          | hskp5 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c3_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c3_1(X26)
                | ~ c2_1(X26) ) )
          | hskp6 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) )
          | hskp7 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) )
          | hskp4 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp27
          | hskp0 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp28 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | hskp8
          | hskp9 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | hskp4 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c1_1(X41)
                | ~ c3_1(X41) ) )
          | hskp10 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp0
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp5
          | hskp3 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | ~ c0_1(X45) ) )
          | hskp9 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp1 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp9 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | hskp12 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp13 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp14 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c3_1(X57)
                | ~ c0_1(X57) ) )
          | hskp1 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | hskp15
          | hskp6 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | hskp27
          | hskp9 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | hskp16
          | hskp3 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | hskp11 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp4 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp2
          | hskp17 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp18
          | hskp3 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp9 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | hskp12
          | hskp1 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp19 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp3 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp4
          | hskp3 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp20
          | hskp21 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp22 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | hskp2
          | hskp11 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp20 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp28
          | hskp4 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp2
          | hskp7 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp27
          | hskp23 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp12
          | hskp9 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp7
          | hskp16 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | hskp25
          | hskp28 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) )
          | hskp2
          | hskp13 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp4
          | hskp5 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | hskp20 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | hskp20
          | hskp5 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp12
          | hskp10 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp19
          | hskp24 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c2_1(X106)
                | ~ c3_1(X106) ) )
          | hskp22
          | hskp11 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp4
          | hskp9 )
        & ( hskp25
          | hskp24
          | hskp21 )
        & ( hskp15
          | hskp7
          | hskp3 )
        & ( hskp18
          | hskp20
          | hskp23 )
        & ( hskp8
          | hskp3
          | hskp17 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [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,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214] :
      ( ( ndr1_0
        | ~ hskp0 )
      & ( c1_1(a400)
        | ~ hskp0 )
      & ( c2_1(a400)
        | ~ hskp0 )
      & ( ~ c3_1(a400)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a401)
        | ~ hskp1 )
      & ( c1_1(a401)
        | ~ hskp1 )
      & ( ~ c3_1(a401)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c0_1(a402)
        | ~ hskp2 )
      & ( ~ c1_1(a402)
        | ~ hskp2 )
      & ( ~ c2_1(a402)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( ~ c0_1(a403)
        | ~ hskp3 )
      & ( ~ c2_1(a403)
        | ~ hskp3 )
      & ( ~ c3_1(a403)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c0_1(a404)
        | ~ hskp4 )
      & ( c3_1(a404)
        | ~ hskp4 )
      & ( ~ c2_1(a404)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c2_1(a408)
        | ~ hskp5 )
      & ( c3_1(a408)
        | ~ hskp5 )
      & ( ~ c0_1(a408)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c2_1(a409)
        | ~ hskp6 )
      & ( ~ c0_1(a409)
        | ~ hskp6 )
      & ( ~ c3_1(a409)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c0_1(a410)
        | ~ hskp7 )
      & ( ~ c1_1(a410)
        | ~ hskp7 )
      & ( ~ c3_1(a410)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c2_1(a415)
        | ~ hskp8 )
      & ( c3_1(a415)
        | ~ hskp8 )
      & ( ~ c1_1(a415)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c3_1(a416)
        | ~ hskp9 )
      & ( ~ c0_1(a416)
        | ~ hskp9 )
      & ( ~ c1_1(a416)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c1_1(a418)
        | ~ hskp10 )
      & ( ~ c0_1(a418)
        | ~ hskp10 )
      & ( ~ c2_1(a418)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( ~ c0_1(a420)
        | ~ hskp11 )
      & ( ~ c1_1(a420)
        | ~ hskp11 )
      & ( ~ c2_1(a420)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c0_1(a426)
        | ~ hskp12 )
      & ( c1_1(a426)
        | ~ hskp12 )
      & ( ~ c2_1(a426)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c1_1(a427)
        | ~ hskp13 )
      & ( c2_1(a427)
        | ~ hskp13 )
      & ( ~ c0_1(a427)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c2_1(a428)
        | ~ hskp14 )
      & ( ~ c0_1(a428)
        | ~ hskp14 )
      & ( ~ c1_1(a428)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c0_1(a430)
        | ~ hskp15 )
      & ( c2_1(a430)
        | ~ hskp15 )
      & ( ~ c3_1(a430)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c1_1(a434)
        | ~ hskp16 )
      & ( ~ c0_1(a434)
        | ~ hskp16 )
      & ( ~ c3_1(a434)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( ~ c1_1(a439)
        | ~ hskp17 )
      & ( ~ c2_1(a439)
        | ~ hskp17 )
      & ( ~ c3_1(a439)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c0_1(a440)
        | ~ hskp18 )
      & ( ~ c2_1(a440)
        | ~ hskp18 )
      & ( ~ c3_1(a440)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a445)
        | ~ hskp19 )
      & ( c3_1(a445)
        | ~ hskp19 )
      & ( ~ c0_1(a445)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c1_1(a449)
        | ~ hskp20 )
      & ( c3_1(a449)
        | ~ hskp20 )
      & ( ~ c2_1(a449)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( ~ c0_1(a450)
        | ~ hskp21 )
      & ( ~ c1_1(a450)
        | ~ hskp21 )
      & ( ~ c3_1(a450)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c0_1(a451)
        | ~ hskp22 )
      & ( c2_1(a451)
        | ~ hskp22 )
      & ( ~ c1_1(a451)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c1_1(a460)
        | ~ hskp23 )
      & ( ~ c2_1(a460)
        | ~ hskp23 )
      & ( ~ c3_1(a460)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c3_1(a477)
        | ~ hskp24 )
      & ( ~ c0_1(a477)
        | ~ hskp24 )
      & ( ~ c2_1(a477)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c0_1(a405)
        | ~ hskp25 )
      & ( c1_1(a405)
        | ~ hskp25 )
      & ( c3_1(a405)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c1_1(a407)
        | ~ hskp26 )
      & ( c2_1(a407)
        | ~ hskp26 )
      & ( c3_1(a407)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a412)
        | ~ hskp27 )
      & ( c1_1(a412)
        | ~ hskp27 )
      & ( c2_1(a412)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a414)
        | ~ hskp28 )
      & ( c2_1(a414)
        | ~ hskp28 )
      & ( c3_1(a414)
        | ~ hskp28 )
      & ( ~ ndr1_0
        | c0_1(X108)
        | c1_1(X108)
        | c2_1(X108)
        | ~ ndr1_0
        | c0_1(X109)
        | ~ c2_1(X109)
        | ~ c3_1(X109)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X110)
        | c1_1(X110)
        | c2_1(X110)
        | ~ ndr1_0
        | c3_1(X111)
        | ~ c0_1(X111)
        | ~ c1_1(X111)
        | ~ ndr1_0
        | ~ c0_1(X112)
        | ~ c2_1(X112)
        | ~ c3_1(X112) )
      & ( ~ ndr1_0
        | c0_1(X113)
        | c1_1(X113)
        | c2_1(X113)
        | hskp1
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X114)
        | c1_1(X114)
        | c3_1(X114)
        | ~ ndr1_0
        | c0_1(X115)
        | c1_1(X115)
        | ~ c3_1(X115)
        | ~ ndr1_0
        | c1_1(X116)
        | c3_1(X116)
        | ~ c2_1(X116) )
      & ( ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | c3_1(X117)
        | ~ ndr1_0
        | c3_1(X118)
        | ~ c1_1(X118)
        | ~ c2_1(X118)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X119)
        | c1_1(X119)
        | ~ c2_1(X119)
        | ~ ndr1_0
        | c0_1(X120)
        | c2_1(X120)
        | c3_1(X120)
        | ~ ndr1_0
        | c2_1(X121)
        | c3_1(X121)
        | ~ c1_1(X121) )
      & ( ~ ndr1_0
        | c0_1(X122)
        | c1_1(X122)
        | ~ c2_1(X122)
        | ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c3_1(X123)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X124)
        | c1_1(X124)
        | ~ c2_1(X124)
        | ~ ndr1_0
        | c1_1(X125)
        | c2_1(X125)
        | ~ c0_1(X125)
        | ~ ndr1_0
        | c1_1(X126)
        | ~ c0_1(X126)
        | ~ c3_1(X126) )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | ~ c2_1(X127)
        | hskp25
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128)
        | hskp26
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | ~ c3_1(X129)
        | ~ ndr1_0
        | c0_1(X130)
        | c3_1(X130)
        | ~ c2_1(X130)
        | ~ ndr1_0
        | c1_1(X131)
        | c2_1(X131)
        | ~ c3_1(X131) )
      & ( ~ ndr1_0
        | c0_1(X132)
        | c1_1(X132)
        | ~ c3_1(X132)
        | ~ ndr1_0
        | c0_1(X133)
        | c3_1(X133)
        | ~ c2_1(X133)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X134)
        | c1_1(X134)
        | ~ c3_1(X134)
        | ~ ndr1_0
        | c2_1(X135)
        | c3_1(X135)
        | ~ c1_1(X135)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c3_1(X136)
        | ~ ndr1_0
        | c3_1(X137)
        | ~ c0_1(X137)
        | ~ c1_1(X137)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | c3_1(X138)
        | hskp27
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X139)
        | c2_1(X139)
        | ~ c1_1(X139)
        | ~ ndr1_0
        | c0_1(X140)
        | ~ c2_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | c1_1(X141)
        | c2_1(X141)
        | ~ c3_1(X141) )
      & ( ~ ndr1_0
        | c0_1(X142)
        | c2_1(X142)
        | ~ c1_1(X142)
        | ~ ndr1_0
        | c1_1(X143)
        | c2_1(X143)
        | ~ c3_1(X143)
        | hskp28 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | c2_1(X144)
        | ~ c1_1(X144)
        | hskp8
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | ~ c3_1(X145)
        | ~ ndr1_0
        | c1_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | ~ c3_1(X147)
        | ~ ndr1_0
        | c2_1(X148)
        | ~ c1_1(X148)
        | ~ c3_1(X148)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c3_1(X149)
        | hskp0
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X150)
        | c2_1(X150)
        | ~ c3_1(X150)
        | hskp5
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X151)
        | c3_1(X151)
        | ~ c1_1(X151)
        | ~ ndr1_0
        | c1_1(X152)
        | c3_1(X152)
        | ~ c0_1(X152)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X153)
        | c3_1(X153)
        | ~ c2_1(X153)
        | ~ ndr1_0
        | c0_1(X154)
        | ~ c2_1(X154)
        | ~ c3_1(X154)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X155)
        | c3_1(X155)
        | ~ c2_1(X155)
        | ~ ndr1_0
        | c1_1(X156)
        | c2_1(X156)
        | ~ c0_1(X156)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X157)
        | c3_1(X157)
        | ~ c2_1(X157)
        | ~ ndr1_0
        | c1_1(X158)
        | c3_1(X158)
        | ~ c2_1(X158)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X159)
        | c3_1(X159)
        | ~ c2_1(X159)
        | ~ ndr1_0
        | c2_1(X160)
        | c3_1(X160)
        | ~ c1_1(X160)
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X161)
        | c3_1(X161)
        | ~ c2_1(X161)
        | ~ ndr1_0
        | c2_1(X162)
        | ~ c1_1(X162)
        | ~ c3_1(X162)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X163)
        | ~ c1_1(X163)
        | ~ c2_1(X163)
        | ~ ndr1_0
        | c1_1(X164)
        | c3_1(X164)
        | ~ c0_1(X164)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X165)
        | ~ c1_1(X165)
        | ~ c2_1(X165)
        | ~ ndr1_0
        | c1_1(X166)
        | ~ c2_1(X166)
        | ~ c3_1(X166)
        | ~ ndr1_0
        | c3_1(X167)
        | ~ c0_1(X167)
        | ~ c2_1(X167) )
      & ( ~ ndr1_0
        | c0_1(X168)
        | ~ c1_1(X168)
        | ~ c2_1(X168)
        | hskp15
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X169)
        | ~ c1_1(X169)
        | ~ c3_1(X169)
        | ~ ndr1_0
        | c1_1(X170)
        | ~ c0_1(X170)
        | ~ c3_1(X170) )
      & ( ~ ndr1_0
        | c0_1(X171)
        | ~ c1_1(X171)
        | ~ c3_1(X171)
        | hskp27
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | hskp16
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X173)
        | ~ c2_1(X173)
        | ~ c3_1(X173)
        | ~ ndr1_0
        | c3_1(X174)
        | ~ c0_1(X174)
        | ~ c1_1(X174)
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X175)
        | c2_1(X175)
        | ~ c0_1(X175)
        | ~ ndr1_0
        | c2_1(X176)
        | ~ c0_1(X176)
        | ~ c1_1(X176)
        | ~ ndr1_0
        | ~ c0_1(X177)
        | ~ c1_1(X177)
        | ~ c2_1(X177) )
      & ( ~ ndr1_0
        | c1_1(X178)
        | c2_1(X178)
        | ~ c3_1(X178)
        | ~ ndr1_0
        | c1_1(X179)
        | ~ c0_1(X179)
        | ~ c2_1(X179)
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X180)
        | c2_1(X180)
        | ~ c3_1(X180)
        | ~ ndr1_0
        | c1_1(X181)
        | ~ c2_1(X181)
        | ~ c3_1(X181)
        | ~ ndr1_0
        | c2_1(X182)
        | c3_1(X182)
        | ~ c0_1(X182) )
      & ( ~ ndr1_0
        | c1_1(X183)
        | c2_1(X183)
        | ~ c3_1(X183)
        | hskp2
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X184)
        | c2_1(X184)
        | ~ c3_1(X184)
        | hskp18
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X185)
        | c3_1(X185)
        | ~ c0_1(X185)
        | ~ ndr1_0
        | ~ c1_1(X186)
        | ~ c2_1(X186)
        | ~ c3_1(X186)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X187)
        | c3_1(X187)
        | ~ c0_1(X187)
        | hskp12
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X188)
        | c3_1(X188)
        | ~ c2_1(X188)
        | ~ ndr1_0
        | c3_1(X189)
        | ~ c0_1(X189)
        | ~ c1_1(X189) )
      & ( ~ ndr1_0
        | c1_1(X190)
        | c3_1(X190)
        | ~ c2_1(X190)
        | ~ ndr1_0
        | ~ c0_1(X191)
        | ~ c2_1(X191)
        | ~ c3_1(X191)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X192)
        | ~ c0_1(X192)
        | ~ c2_1(X192)
        | ~ ndr1_0
        | ~ c0_1(X193)
        | ~ c2_1(X193)
        | ~ c3_1(X193)
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X194)
        | ~ c0_1(X194)
        | ~ c3_1(X194)
        | hskp4
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X195)
        | ~ c0_1(X195)
        | ~ c3_1(X195)
        | hskp20
        | hskp21 )
      & ( ~ ndr1_0
        | c2_1(X196)
        | c3_1(X196)
        | ~ c0_1(X196)
        | ~ ndr1_0
        | c2_1(X197)
        | ~ c1_1(X197)
        | ~ c3_1(X197)
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X198)
        | c3_1(X198)
        | ~ c0_1(X198)
        | hskp2
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X199)
        | c3_1(X199)
        | ~ c1_1(X199)
        | ~ ndr1_0
        | ~ c0_1(X200)
        | ~ c2_1(X200)
        | ~ c3_1(X200)
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X201)
        | c3_1(X201)
        | ~ c1_1(X201)
        | hskp28
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X202)
        | c3_1(X202)
        | ~ c1_1(X202)
        | hskp2
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X203)
        | ~ c0_1(X203)
        | ~ c1_1(X203)
        | hskp27
        | hskp23 )
      & ( ~ ndr1_0
        | c2_1(X204)
        | ~ c0_1(X204)
        | ~ c3_1(X204)
        | hskp12
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X205)
        | ~ c0_1(X205)
        | ~ c3_1(X205)
        | hskp7
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X206)
        | ~ c1_1(X206)
        | ~ c3_1(X206)
        | hskp25
        | hskp28 )
      & ( ~ ndr1_0
        | c2_1(X207)
        | ~ c1_1(X207)
        | ~ c3_1(X207)
        | hskp2
        | hskp13 )
      & ( ~ ndr1_0
        | c3_1(X208)
        | ~ c0_1(X208)
        | ~ c1_1(X208)
        | hskp4
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X209)
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | hskp20 )
      & ( ~ ndr1_0
        | c3_1(X210)
        | ~ c0_1(X210)
        | ~ c1_1(X210)
        | hskp20
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X211)
        | ~ c1_1(X211)
        | ~ c2_1(X211)
        | hskp12
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X212)
        | ~ c1_1(X212)
        | ~ c2_1(X212)
        | hskp19
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c0_1(X213)
        | ~ c2_1(X213)
        | ~ c3_1(X213)
        | hskp22
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X214)
        | ~ c2_1(X214)
        | ~ c3_1(X214)
        | hskp4
        | hskp9 )
      & ( hskp25
        | hskp24
        | hskp21 )
      & ( hskp15
        | hskp7
        | hskp3 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( hskp8
        | hskp3
        | hskp17 ) ),
    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_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ndr1_0
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( hskp15
    | hskp7
    | hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_7,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_8,negated_conjecture,
    ( c3_1(X1)
    | hskp20
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( c1_1(a426)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ c2_1(a426)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_14,negated_conjecture,
    ( c0_1(a426)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    ( c1_1(a449)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( c3_1(a449)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ c2_1(a449)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp12
    | hskp1
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_19,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_20,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_21,negated_conjecture,
    ( epred31_0
    | ~ hskp12
    | ~ c3_1(a426) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_22,negated_conjecture,
    ( hskp20
    | c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_14]) ).

cnf(c_0_23,negated_conjecture,
    ( epred31_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_9])]) ).

cnf(c_0_25,negated_conjecture,
    ( c0_1(a410)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ c1_1(a410)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ c3_1(a410)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_28,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ c2_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_29,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_30,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | hskp22
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_31,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_32,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp28
    | hskp4
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_33,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_34,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_35,negated_conjecture,
    ( ~ c1_1(a451)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_36,negated_conjecture,
    ( epred4_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_19]) ).

cnf(c_0_37,negated_conjecture,
    ( c0_1(a451)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_38,negated_conjecture,
    ( epred1_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_20]),c_0_9])]) ).

cnf(c_0_39,negated_conjecture,
    ( c2_1(a451)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_40,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_41,negated_conjecture,
    ( c0_1(a401)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ c3_1(a401)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_43,negated_conjecture,
    ( epred31_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_44,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).

cnf(c_0_45,negated_conjecture,
    ( epred51_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_28]) ).

cnf(c_0_46,negated_conjecture,
    ( c0_1(a430)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_47,negated_conjecture,
    ( c2_1(a430)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ c3_1(a430)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_49,negated_conjecture,
    ( epred38_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_50,negated_conjecture,
    ( epred33_0
    | hskp22
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_30]),c_0_9])]) ).

cnf(c_0_51,negated_conjecture,
    ( epred18_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_31]) ).

cnf(c_0_52,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_9])]) ).

cnf(c_0_53,negated_conjecture,
    ( c1_1(a460)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ c2_1(a460)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ c3_1(a460)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_56,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_57,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_58,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp8
    | hskp9
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_59,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_9])]) ).

cnf(c_0_60,negated_conjecture,
    ( c0_1(a405)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_61,negated_conjecture,
    ( c3_1(a405)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_62,negated_conjecture,
    ( epred53_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_34]) ).

cnf(c_0_63,negated_conjecture,
    ( c1_1(a405)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_64,negated_conjecture,
    ( epred4_0
    | ~ hskp22
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_65,negated_conjecture,
    ( epred1_0
    | c3_1(a451)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_39]) ).

cnf(c_0_66,negated_conjecture,
    ( c0_1(a414)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_67,negated_conjecture,
    ( c2_1(a414)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_68,negated_conjecture,
    ( c3_1(a414)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_69,negated_conjecture,
    ( c2_1(X1)
    | hskp25
    | hskp28
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_70,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_71,negated_conjecture,
    ( c2_1(X1)
    | hskp2
    | hskp13
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_72,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_73,negated_conjecture,
    ( hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_40]),c_0_41]),c_0_42]) ).

cnf(c_0_74,negated_conjecture,
    ( epred31_0
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_75,negated_conjecture,
    ( epred51_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_76,negated_conjecture,
    ( epred38_0
    | ~ hskp22
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_37]),c_0_39]) ).

cnf(c_0_77,negated_conjecture,
    ( epred51_0
    | c3_1(a451)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_39]) ).

cnf(c_0_78,negated_conjecture,
    ( epred51_0
    | ~ hskp7
    | ~ c2_1(a410) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_25]),c_0_27]) ).

cnf(c_0_79,negated_conjecture,
    ( epred33_0
    | hskp22
    | c2_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_25]),c_0_27]) ).

fof(c_0_80,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c1_1(X1)
        | hskp3
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_81,negated_conjecture,
    ( hskp4
    | hskp9
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_82,negated_conjecture,
    ( epred18_0
    | hskp20
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_51]) ).

cnf(c_0_83,negated_conjecture,
    ( c0_1(a440)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ c3_1(a440)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_85,negated_conjecture,
    ( hskp28
    | hskp4
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_86,negated_conjecture,
    ( hskp18
    | hskp20
    | hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_87,negated_conjecture,
    ( c2_1(X1)
    | hskp12
    | hskp9
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_88,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_89,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_90,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c2_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_91,negated_conjecture,
    ( ~ c1_1(a416)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_92,negated_conjecture,
    ( epred48_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_56]) ).

cnf(c_0_93,negated_conjecture,
    ( c3_1(a416)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_94,negated_conjecture,
    ( epred49_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_57]),c_0_9])]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ c0_1(a416)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ c1_1(a415)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_97,negated_conjecture,
    ( c2_1(a415)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_98,negated_conjecture,
    ( c3_1(a415)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_99,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_9])]) ).

fof(c_0_100,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | hskp28
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_101,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_102,negated_conjecture,
    ( c2_1(X1)
    | hskp7
    | hskp16
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_103,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ hskp25
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_104,negated_conjecture,
    ( epred53_0
    | c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_60]) ).

cnf(c_0_105,negated_conjecture,
    ( epred4_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_106,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_66]),c_0_67]),c_0_68]) ).

cnf(c_0_107,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_9])]) ).

fof(c_0_108,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | hskp20
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_109,negated_conjecture,
    ( epred6_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_70]) ).

cnf(c_0_110,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp26
    | hskp5
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_111,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | c0_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_112,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_113,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | hskp14
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_114,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_115,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | hskp19
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_116,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( hskp1
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_117,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_9])]) ).

cnf(c_0_118,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp22
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ c0_1(a403)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_120,negated_conjecture,
    ( epred44_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_72]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ c2_1(a403)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ c3_1(a403)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_123,negated_conjecture,
    ( epred31_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_23]) ).

cnf(c_0_124,negated_conjecture,
    ( epred51_0
    | hskp7
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_75,c_0_4]) ).

cnf(c_0_125,negated_conjecture,
    ( epred51_0
    | epred38_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_126,negated_conjecture,
    ( epred51_0
    | epred33_0
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_127,negated_conjecture,
    ( epred40_0
    | hskp3
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_80]),c_0_9])]) ).

cnf(c_0_128,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp7
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_129,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | hskp7
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_130,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_9])]) ).

cnf(c_0_131,negated_conjecture,
    ( epred18_0
    | hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).

cnf(c_0_132,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp18
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_133,negated_conjecture,
    ( hskp12
    | hskp9
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_9])]) ).

cnf(c_0_134,negated_conjecture,
    ( c0_1(a404)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_135,negated_conjecture,
    ( c3_1(a404)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ c2_1(a404)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_137,negated_conjecture,
    ( epred14_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_88]) ).

cnf(c_0_138,negated_conjecture,
    ( epred3_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_89]),c_0_9])]) ).

cnf(c_0_139,negated_conjecture,
    ( c1_1(a418)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ c0_1(a418)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ c2_1(a418)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_142,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | hskp10
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_143,negated_conjecture,
    ( hskp19
    | hskp24
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_144,negated_conjecture,
    ( c2_1(X1)
    | hskp27
    | hskp23
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ c1_1(a439)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_146,negated_conjecture,
    ( epred52_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_90]),c_0_9])]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ c2_1(a439)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_148,negated_conjecture,
    ( epred48_0
    | ~ hskp9
    | ~ c2_1(a416) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).

cnf(c_0_149,negated_conjecture,
    ( epred49_0
    | c2_1(a416)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_94]),c_0_95]) ).

cnf(c_0_150,negated_conjecture,
    ( epred48_0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_92]),c_0_97]),c_0_98]) ).

cnf(c_0_151,negated_conjecture,
    ( epred49_0
    | hskp9
    | hskp8
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_94]) ).

cnf(c_0_152,negated_conjecture,
    ( epred22_0
    | hskp28
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_100]),c_0_9])]) ).

cnf(c_0_153,negated_conjecture,
    ( epred2_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_101]) ).

fof(c_0_154,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | hskp9
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_155,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_9])]) ).

cnf(c_0_156,negated_conjecture,
    ( epred53_0
    | hskp22
    | hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_157,negated_conjecture,
    ( epred4_0
    | epred1_0
    | hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_158,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ c2_1(a440)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_160,negated_conjecture,
    ( epred39_0
    | hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_108]),c_0_9])]) ).

cnf(c_0_161,negated_conjecture,
    ( epred38_0
    | epred6_0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_109]) ).

cnf(c_0_162,negated_conjecture,
    ( c2_1(a407)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_163,negated_conjecture,
    ( c3_1(a407)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_164,negated_conjecture,
    ( hskp26
    | hskp5
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_9])]) ).

cnf(c_0_165,negated_conjecture,
    ( c2_1(a428)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ c1_1(a428)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ c0_1(a428)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ c0_1(a408)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_169,negated_conjecture,
    ( c2_1(a408)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_170,negated_conjecture,
    ( c3_1(a408)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_171,negated_conjecture,
    ( c0_1(X1)
    | hskp15
    | hskp6
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_172,negated_conjecture,
    ( epred41_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_9])]) ).

cnf(c_0_173,negated_conjecture,
    ( epred20_0
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_112]) ).

fof(c_0_174,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_175,negated_conjecture,
    ( ~ c0_1(a427)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_176,negated_conjecture,
    ( c2_1(a427)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_177,negated_conjecture,
    ( epred32_0
    | hskp14
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_9])]) ).

cnf(c_0_178,negated_conjecture,
    ( epred42_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_114]) ).

cnf(c_0_179,negated_conjecture,
    ( epred37_0
    | hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_9])]) ).

cnf(c_0_180,negated_conjecture,
    ( epred24_0
    | c0_1(X1)
    | hskp1
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_9])]) ).

cnf(c_0_181,negated_conjecture,
    ( c1_1(a427)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_182,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp12
    | ~ c3_1(a426) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_11]),c_0_12]) ).

cnf(c_0_183,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_184,negated_conjecture,
    ( hskp22
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_118]) ).

cnf(c_0_185,negated_conjecture,
    ( epred44_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]) ).

cnf(c_0_186,negated_conjecture,
    ( epred51_0
    | epred31_0
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_187,negated_conjecture,
    ( epred51_0
    | epred38_0
    | epred33_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_188,negated_conjecture,
    ( epred40_0
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_37]),c_0_39]),c_0_35]) ).

cnf(c_0_189,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_9])]) ).

cnf(c_0_190,negated_conjecture,
    ( epred13_0
    | hskp7
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_9])]) ).

cnf(c_0_191,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_66]),c_0_67]),c_0_68]) ).

cnf(c_0_192,negated_conjecture,
    ( epred18_0
    | hskp28
    | hskp20
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_193,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]) ).

cnf(c_0_194,negated_conjecture,
    ( epred14_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_195,negated_conjecture,
    ( epred3_0
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).

cnf(c_0_196,negated_conjecture,
    ( epred14_0
    | c3_1(a418)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_139]),c_0_141]) ).

cnf(c_0_197,negated_conjecture,
    ( epred30_0
    | hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_9])]) ).

cnf(c_0_198,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ c2_1(a477)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ c0_1(a477)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_201,negated_conjecture,
    ( c1_1(a445)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_202,negated_conjecture,
    ( c3_1(a445)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ c0_1(a445)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_204,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_9])]) ).

cnf(c_0_205,negated_conjecture,
    ( c1_1(a412)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_206,negated_conjecture,
    ( c2_1(a412)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_207,negated_conjecture,
    ( c0_1(a412)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_208,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_9])]) ).

cnf(c_0_209,negated_conjecture,
    ( epred52_0
    | ~ hskp17
    | ~ c0_1(a439) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).

cnf(c_0_210,negated_conjecture,
    ( epred49_0
    | c0_1(a439)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_94]),c_0_147]) ).

cnf(c_0_211,negated_conjecture,
    ( epred49_0
    | epred48_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_212,negated_conjecture,
    ( epred49_0
    | epred48_0
    | hskp9
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_213,negated_conjecture,
    ( hskp20
    | ~ hskp23
    | ~ c0_1(a460) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_53]),c_0_55]) ).

cnf(c_0_214,negated_conjecture,
    ( epred22_0
    | hskp28
    | c0_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_53]),c_0_54]) ).

cnf(c_0_215,negated_conjecture,
    ( epred18_0
    | epred2_0
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_153,c_0_51]) ).

cnf(c_0_216,negated_conjecture,
    ( epred17_0
    | hskp9
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_154]),c_0_9])]) ).

cnf(c_0_217,negated_conjecture,
    ( c1_1(a434)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c3_1(a434)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ c0_1(a434)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_220,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp12
    | ~ c3_1(a426) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_14]),c_0_12]) ).

cnf(c_0_221,negated_conjecture,
    ( c0_1(a402)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ c2_1(a402)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ c1_1(a402)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_224,negated_conjecture,
    ( epred2_0
    | c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_11]),c_0_14]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ c1_1(a420)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ c2_1(a420)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ c0_1(a420)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_228,negated_conjecture,
    ( epred53_0
    | epred4_0
    | epred1_0
    | hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_105,c_0_156]) ).

cnf(c_0_229,negated_conjecture,
    ( epred4_0
    | epred1_0
    | hskp25
    | hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_230,negated_conjecture,
    ( epred33_0
    | hskp22
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_83]),c_0_159]),c_0_84]) ).

cnf(c_0_231,negated_conjecture,
    ( epred39_0
    | hskp20
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_232,negated_conjecture,
    ( epred38_0
    | epred6_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).

cnf(c_0_233,negated_conjecture,
    ( hskp26
    | hskp5
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),c_0_167]) ).

cnf(c_0_234,negated_conjecture,
    ( epred6_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_109]),c_0_169]),c_0_170]) ).

cnf(c_0_235,negated_conjecture,
    ( c2_1(a409)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ c3_1(a409)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ c0_1(a409)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_238,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_9])]) ).

cnf(c_0_239,negated_conjecture,
    ( epred6_0
    | ~ hskp14
    | ~ c3_1(a428) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_109]),c_0_165]) ).

cnf(c_0_240,negated_conjecture,
    ( epred41_0
    | c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_172]),c_0_167]) ).

cnf(c_0_241,negated_conjecture,
    ( epred48_0
    | ~ hskp14
    | ~ c3_1(a428) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_92]),c_0_165]) ).

cnf(c_0_242,negated_conjecture,
    ( epred1_0
    | c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_38]),c_0_165]) ).

cnf(c_0_243,negated_conjecture,
    ( epred20_0
    | c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_173]),c_0_165]) ).

cnf(c_0_244,negated_conjecture,
    ( epred43_0
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_174]),c_0_9])]) ).

fof(c_0_245,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( c3_1(X1)
        | hskp1
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_246,negated_conjecture,
    ( epred6_0
    | ~ hskp13
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_109]),c_0_176]) ).

cnf(c_0_247,negated_conjecture,
    ( epred32_0
    | hskp14
    | c3_1(a427)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_176]),c_0_175]) ).

cnf(c_0_248,negated_conjecture,
    ( c3_1(X1)
    | hskp4
    | hskp5
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_249,negated_conjecture,
    ( epred42_0
    | ~ hskp14
    | ~ c3_1(a428) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_178]),c_0_167]) ).

cnf(c_0_250,negated_conjecture,
    ( epred37_0
    | hskp19
    | c3_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_165]),c_0_166]) ).

fof(c_0_251,plain,
    ( ~ epred54_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c2_1(X3)
        | ~ c0_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_252,negated_conjecture,
    ( epred24_0
    | hskp1
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_176]),c_0_175]) ).

cnf(c_0_253,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_22]),c_0_183]) ).

cnf(c_0_254,negated_conjecture,
    ( c1_1(X1)
    | hskp3
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ epred33_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_184,c_0_30]),c_0_7]) ).

cnf(c_0_256,negated_conjecture,
    ( epred51_0
    | epred44_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_257,negated_conjecture,
    ( epred51_0
    | epred38_0
    | epred33_0
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_187,c_0_124]) ).

cnf(c_0_258,negated_conjecture,
    ( epred51_0
    | epred40_0
    | epred33_0
    | hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_126]),c_0_124]) ).

cnf(c_0_259,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp11
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_260,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_261,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp7
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_262,negated_conjecture,
    ( epred18_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_51]),c_0_25]),c_0_27]) ).

cnf(c_0_263,negated_conjecture,
    ( epred13_0
    | hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_93]),c_0_91]),c_0_95]) ).

cnf(c_0_264,negated_conjecture,
    ( epred18_0
    | hskp20
    | hskp9
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_265,negated_conjecture,
    ( epred31_0
    | hskp9
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_43,c_0_193]) ).

cnf(c_0_266,negated_conjecture,
    ( epred14_0
    | hskp20
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_194,c_0_86]) ).

fof(c_0_267,plain,
    ( ~ epred50_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_268,negated_conjecture,
    ( epred14_0
    | epred3_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_269,negated_conjecture,
    ( epred30_0
    | hskp10
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]),c_0_200]) ).

cnf(c_0_270,negated_conjecture,
    ( epred3_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_201]),c_0_202]),c_0_203]) ).

cnf(c_0_271,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]),c_0_207]) ).

cnf(c_0_272,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp20
    | ~ c0_1(a449) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_15]),c_0_17]) ).

cnf(c_0_273,negated_conjecture,
    ( epred3_0
    | c0_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_15]),c_0_16]) ).

cnf(c_0_274,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_275,negated_conjecture,
    ( epred52_0
    | epred49_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_276,negated_conjecture,
    ( hskp8
    | hskp3
    | hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_277,negated_conjecture,
    ( epred49_0
    | epred48_0
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_278,negated_conjecture,
    ( c1_1(a400)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ c3_1(a400)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_280,negated_conjecture,
    ( c2_1(a400)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_281,negated_conjecture,
    ( epred22_0
    | hskp28
    | hskp20
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

fof(c_0_282,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | hskp13
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_283,negated_conjecture,
    ( epred18_0
    | epred2_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_46]),c_0_48]) ).

fof(c_0_284,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_285,negated_conjecture,
    ( epred17_0
    | hskp9
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_219]) ).

cnf(c_0_286,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_220,c_0_22]) ).

cnf(c_0_287,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_221]),c_0_222]) ).

cnf(c_0_288,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a402)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_221]),c_0_223]) ).

cnf(c_0_289,negated_conjecture,
    ( epred2_0
    | hskp16
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_220,c_0_224]) ).

cnf(c_0_290,negated_conjecture,
    ( epred4_0
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_36]),c_0_221]) ).

cnf(c_0_291,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a451)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_37]),c_0_35]) ).

cnf(c_0_292,negated_conjecture,
    ( epred33_0
    | hskp22
    | c3_1(a402)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_221]),c_0_222]) ).

cnf(c_0_293,negated_conjecture,
    ( epred49_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_94]),c_0_226]),c_0_227]) ).

cnf(c_0_294,negated_conjecture,
    ( epred53_0
    | epred4_0
    | epred1_0
    | hskp11
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_295,negated_conjecture,
    ( epred33_0
    | epred4_0
    | epred1_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_105,c_0_230]) ).

cnf(c_0_296,negated_conjecture,
    ( epred39_0
    | hskp20
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_231,c_0_86]) ).

cnf(c_0_297,negated_conjecture,
    ( epred38_0
    | epred6_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).

cnf(c_0_298,negated_conjecture,
    ( epred32_0
    | hskp14
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_235]),c_0_236]),c_0_237]) ).

cnf(c_0_299,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_181]),c_0_176]),c_0_175]) ).

cnf(c_0_300,negated_conjecture,
    ( epred42_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_178]),c_0_93]),c_0_95]) ).

cnf(c_0_301,negated_conjecture,
    ( epred41_0
    | epred6_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_302,negated_conjecture,
    ( epred48_0
    | epred1_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_303,negated_conjecture,
    ( epred20_0
    | epred6_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_239,c_0_243]) ).

cnf(c_0_304,negated_conjecture,
    ( epred43_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_244]),c_0_165]),c_0_167]) ).

cnf(c_0_305,negated_conjecture,
    ( epred25_0
    | c0_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_9])]) ).

cnf(c_0_306,negated_conjecture,
    ( epred6_0
    | epred1_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_239,c_0_242]) ).

cnf(c_0_307,negated_conjecture,
    ( epred32_0
    | epred6_0
    | hskp14
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_308,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_9])]) ).

cnf(c_0_309,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp27
    | hskp0
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_310,negated_conjecture,
    ( epred6_0
    | ~ hskp19
    | ~ c2_1(a445) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_109]),c_0_202]) ).

cnf(c_0_311,negated_conjecture,
    ( epred30_0
    | hskp10
    | c2_1(a445)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_202]),c_0_203]) ).

cnf(c_0_312,negated_conjecture,
    ( epred42_0
    | epred37_0
    | hskp19
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_313,negated_conjecture,
    ( epred54_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_251]) ).

cnf(c_0_314,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1
    | hskp2
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_315,negated_conjecture,
    ( epred24_0
    | hskp2
    | hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_316,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_254]) ).

cnf(c_0_317,negated_conjecture,
    ( epred51_0
    | epred44_0
    | ~ epred33_0 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_318,negated_conjecture,
    ( epred51_0
    | epred44_0
    | epred38_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_257]) ).

cnf(c_0_319,negated_conjecture,
    ( epred51_0
    | epred44_0
    | epred40_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_258]) ).

cnf(c_0_320,negated_conjecture,
    ( epred53_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_11]),c_0_14]),c_0_12]) ).

cnf(c_0_321,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_9])]) ).

cnf(c_0_322,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_260,c_0_86]) ).

cnf(c_0_323,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_261]) ).

cnf(c_0_324,negated_conjecture,
    ( epred18_0
    | epred13_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_325,negated_conjecture,
    ( epred31_0
    | epred18_0
    | hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_264]),c_0_265]) ).

cnf(c_0_326,negated_conjecture,
    ( epred18_0
    | epred14_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_131,c_0_266]) ).

cnf(c_0_327,negated_conjecture,
    ( epred50_0
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_267]),c_0_9])]) ).

cnf(c_0_328,negated_conjecture,
    ( epred43_0
    | hskp15
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_238,c_0_244]) ).

cnf(c_0_329,negated_conjecture,
    ( epred24_0
    | hskp1
    | ~ hskp16
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_217]),c_0_219]) ).

cnf(c_0_330,negated_conjecture,
    ( epred39_0
    | hskp20
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_217]),c_0_218]) ).

cnf(c_0_331,negated_conjecture,
    ( epred2_0
    | ~ hskp23
    | ~ c0_1(a460) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_53]),c_0_55]) ).

cnf(c_0_332,negated_conjecture,
    ( epred17_0
    | hskp9
    | c0_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_53]),c_0_55]) ).

cnf(c_0_333,negated_conjecture,
    ( epred30_0
    | epred14_0
    | epred3_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_334,negated_conjecture,
    ( epred3_0
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_335,negated_conjecture,
    ( epred3_0
    | hskp27
    | hskp23
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_336,negated_conjecture,
    ( epred38_0
    | ~ hskp25
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_60]),c_0_61]) ).

cnf(c_0_337,negated_conjecture,
    ( epred38_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_67]),c_0_68]) ).

cnf(c_0_338,negated_conjecture,
    ( c1_1(X2)
    | c3_1(X3)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[c_0_274]) ).

cnf(c_0_339,negated_conjecture,
    ( epred52_0
    | epred49_0
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_340,negated_conjecture,
    ( epred49_0
    | epred48_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_277]),c_0_121]) ).

cnf(c_0_341,negated_conjecture,
    ( epred1_0
    | ~ hskp7
    | ~ c2_1(a410) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_38]),c_0_27]) ).

cnf(c_0_342,negated_conjecture,
    ( epred2_0
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_278]),c_0_279]) ).

cnf(c_0_343,negated_conjecture,
    ( epred32_0
    | hskp14
    | c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_280]),c_0_279]) ).

cnf(c_0_344,negated_conjecture,
    ( epred3_0
    | ~ hskp13
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_181]),c_0_175]) ).

fof(c_0_345,plain,
    ( ~ epred29_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c0_1(X1)
        | hskp4
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_346,negated_conjecture,
    ( epred22_0
    | hskp28
    | hskp20
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_281,c_0_86]) ).

cnf(c_0_347,negated_conjecture,
    ( epred21_0
    | hskp13
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_282]),c_0_9])]) ).

cnf(c_0_348,negated_conjecture,
    ( epred18_0
    | epred2_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_25]),c_0_27]) ).

cnf(c_0_349,negated_conjecture,
    ( epred18_0
    | epred2_0
    | hskp7
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_283,c_0_4]) ).

cnf(c_0_350,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_284]) ).

fof(c_0_351,plain,
    ( ~ epred16_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_352,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_353,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_354,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_355,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_356,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | c1_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_357,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp20
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_358,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp19
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_359,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp14
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_360,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp10
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_361,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | hskp4
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_362,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c0_1(X2)
    | hskp1
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_363,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp1
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_364,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp28
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_365,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp13
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_366,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp9
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_367,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_368,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_369,negated_conjecture,
    ( epred17_0
    | hskp20
    | hskp9
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_370,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_371,negated_conjecture,
    ( epred17_0
    | epred2_0
    | hskp9
    | hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_285,c_0_289]) ).

cnf(c_0_372,negated_conjecture,
    ( epred4_0
    | hskp12
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_290,c_0_288]) ).

cnf(c_0_373,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_221]),c_0_222]) ).

cnf(c_0_374,negated_conjecture,
    ( epred4_0
    | hskp12
    | hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_64,c_0_291]) ).

cnf(c_0_375,negated_conjecture,
    ( epred33_0
    | epred4_0
    | hskp22
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_290,c_0_292]) ).

cnf(c_0_376,negated_conjecture,
    ( hskp12
    | hskp1
    | c1_1(a430)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_46]),c_0_48]) ).

cnf(c_0_377,negated_conjecture,
    ( hskp7
    | hskp2
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_217]),c_0_218]) ).

cnf(c_0_378,negated_conjecture,
    ( epred53_0
    | epred49_0
    | epred4_0
    | epred1_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_293,c_0_294]) ).

cnf(c_0_379,negated_conjecture,
    ( epred39_0
    | epred33_0
    | epred4_0
    | epred1_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_380,negated_conjecture,
    ( epred38_0
    | epred32_0
    | epred6_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_381,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_299,c_0_183]) ).

cnf(c_0_382,negated_conjecture,
    ( epred42_0
    | hskp8
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_178]),c_0_300]) ).

cnf(c_0_383,negated_conjecture,
    ( epred2_0
    | hskp13
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_182,c_0_224]) ).

cnf(c_0_384,negated_conjecture,
    ( epred41_0
    | epred32_0
    | epred6_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_301,c_0_298]) ).

cnf(c_0_385,negated_conjecture,
    ( epred48_0
    | epred32_0
    | epred1_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_302,c_0_298]) ).

cnf(c_0_386,negated_conjecture,
    ( epred32_0
    | epred20_0
    | epred6_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_303,c_0_298]) ).

cnf(c_0_387,negated_conjecture,
    ( epred43_0
    | epred32_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_304,c_0_298]) ).

cnf(c_0_388,negated_conjecture,
    ( epred25_0
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_235]),c_0_236]),c_0_237]) ).

cnf(c_0_389,negated_conjecture,
    ( epred32_0
    | epred6_0
    | epred1_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_390,negated_conjecture,
    ( hskp5
    | hskp4
    | ~ hskp23
    | ~ c0_1(a460) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_53]),c_0_55]) ).

cnf(c_0_391,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_9])]) ).

cnf(c_0_392,negated_conjecture,
    ( epred4_0
    | hskp27
    | hskp23
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_36]) ).

cnf(c_0_393,negated_conjecture,
    ( epred49_0
    | epred17_0
    | hskp9
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_216,c_0_94]) ).

cnf(c_0_394,negated_conjecture,
    ( epred30_0
    | epred6_0
    | hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_395,negated_conjecture,
    ( epred42_0
    | epred37_0
    | epred32_0
    | hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_312,c_0_298]) ).

cnf(c_0_396,negated_conjecture,
    ( epred22_0
    | hskp28
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_217]),c_0_219]) ).

cnf(c_0_397,negated_conjecture,
    ( epred1_0
    | hskp20
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_38]) ).

cnf(c_0_398,negated_conjecture,
    ( epred54_0
    | epred18_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_51]) ).

cnf(c_0_399,negated_conjecture,
    ( epred54_0
    | epred1_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_38]) ).

cnf(c_0_400,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | hskp1
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_9])]) ).

cnf(c_0_401,negated_conjecture,
    ( epred24_0
    | hskp2
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_315,c_0_44]) ).

cnf(c_0_402,negated_conjecture,
    ( epred2_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_40]),c_0_41]),c_0_42]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ epred40_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_316,c_0_80]),c_0_29]) ).

cnf(c_0_404,negated_conjecture,
    ( epred51_0
    | epred44_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_405,negated_conjecture,
    ( epred51_0
    | epred44_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_317,c_0_319]) ).

cnf(c_0_406,negated_conjecture,
    ( epred53_0
    | hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_320,c_0_44]) ).

cnf(c_0_407,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_83]),c_0_159]),c_0_84]) ).

cnf(c_0_408,negated_conjecture,
    ( epred52_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_146]),c_0_221]),c_0_222]) ).

cnf(c_0_409,negated_conjecture,
    ( epred18_0
    | hskp20
    | hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_322]),c_0_262]) ).

cnf(c_0_410,negated_conjecture,
    ( hskp11
    | hskp2
    | c2_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_25]),c_0_27]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ epred14_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_323,c_0_129]),c_0_88]) ).

cnf(c_0_412,negated_conjecture,
    ( epred31_0
    | epred18_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_413,negated_conjecture,
    ( epred31_0
    | epred18_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_326]) ).

cnf(c_0_414,negated_conjecture,
    ( epred50_0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_181]),c_0_176]),c_0_175]) ).

cnf(c_0_415,negated_conjecture,
    ( epred43_0
    | hskp15
    | hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_169]),c_0_168]) ).

cnf(c_0_416,negated_conjecture,
    ( epred39_0
    | epred24_0
    | hskp20
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_73]) ).

cnf(c_0_417,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_134]),c_0_135]),c_0_136]) ).

cnf(c_0_418,negated_conjecture,
    ( epred17_0
    | epred2_0
    | hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_419,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_11]),c_0_14]),c_0_12]) ).

cnf(c_0_420,negated_conjecture,
    ( epred18_0
    | c3_1(a402)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_51]),c_0_221]) ).

cnf(c_0_421,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_60]),c_0_61]) ).

cnf(c_0_422,negated_conjecture,
    ( epred30_0
    | epred14_0
    | epred3_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_423,negated_conjecture,
    ( epred14_0
    | epred3_0
    | hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_194,c_0_335]) ).

cnf(c_0_424,negated_conjecture,
    ( epred53_0
    | epred38_0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_336,c_0_104]) ).

cnf(c_0_425,negated_conjecture,
    ( epred38_0
    | hskp25
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_337,c_0_158]) ).

cnf(c_0_426,negated_conjecture,
    ( epred52_0
    | c2_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_146]),c_0_25]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ epred51_0
    | ~ epred50_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_338,c_0_267]),c_0_28]),c_0_56]) ).

cnf(c_0_428,negated_conjecture,
    ( epred52_0
    | epred49_0
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_339]),c_0_340]) ).

cnf(c_0_429,negated_conjecture,
    ( epred38_0
    | epred1_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_76,c_0_65]) ).

cnf(c_0_430,negated_conjecture,
    ( epred33_0
    | epred1_0
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_341,c_0_79]) ).

cnf(c_0_431,negated_conjecture,
    ( epred32_0
    | epred2_0
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_432,negated_conjecture,
    ( epred32_0
    | epred3_0
    | hskp14
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_344,c_0_247]) ).

cnf(c_0_433,negated_conjecture,
    ( epred29_0
    | hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_345]),c_0_9])]) ).

cnf(c_0_434,negated_conjecture,
    ( epred43_0
    | ~ hskp9
    | ~ c2_1(a416) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_244]),c_0_95]) ).

cnf(c_0_435,negated_conjecture,
    ( hskp20
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_278]),c_0_279]) ).

cnf(c_0_436,negated_conjecture,
    ( epred24_0
    | c0_1(a400)
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_278]),c_0_280]) ).

cnf(c_0_437,negated_conjecture,
    ( epred14_0
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_217]),c_0_218]) ).

cnf(c_0_438,negated_conjecture,
    ( epred22_0
    | epred18_0
    | hskp28
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_131,c_0_346]) ).

cnf(c_0_439,negated_conjecture,
    ( epred54_0
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_278]),c_0_280]) ).

cnf(c_0_440,negated_conjecture,
    ( epred21_0
    | hskp13
    | c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_280]),c_0_279]) ).

cnf(c_0_441,negated_conjecture,
    ( epred38_0
    | ~ hskp27
    | ~ c3_1(a412) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_207]),c_0_206]) ).

cnf(c_0_442,negated_conjecture,
    ( hskp20
    | c3_1(a412)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_205]),c_0_207]) ).

cnf(c_0_443,negated_conjecture,
    ( epred53_0
    | ~ hskp20
    | ~ c0_1(a449) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_15]),c_0_17]) ).

cnf(c_0_444,negated_conjecture,
    ( epred18_0
    | epred2_0
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_445,negated_conjecture,
    ( epred4_0
    | ~ hskp8
    | ~ c0_1(a415) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_36]),c_0_98]) ).

cnf(c_0_446,negated_conjecture,
    ( epred42_0
    | c0_1(a415)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_178]),c_0_98]) ).

cnf(c_0_447,negated_conjecture,
    ( epred23_0
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_350]),c_0_222]) ).

cnf(c_0_448,negated_conjecture,
    ( epred16_0
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_351]) ).

cnf(c_0_449,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_352]) ).

cnf(c_0_450,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_353]) ).

cnf(c_0_451,negated_conjecture,
    ( c1_1(X3)
    | c1_1(X2)
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_354]) ).

cnf(c_0_452,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X3)
    | c2_1(X2)
    | c3_1(X3)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_355]) ).

cnf(c_0_453,negated_conjecture,
    ( c1_1(X3)
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X3)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_356]) ).

cnf(c_0_454,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_357]) ).

cnf(c_0_455,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_358]) ).

cnf(c_0_456,negated_conjecture,
    ( hskp14
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_359]) ).

cnf(c_0_457,negated_conjecture,
    ( hskp10
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_360]) ).

cnf(c_0_458,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_361]) ).

cnf(c_0_459,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_362]) ).

cnf(c_0_460,negated_conjecture,
    ( hskp1
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_363]) ).

cnf(c_0_461,negated_conjecture,
    ( hskp28
    | c1_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_364]) ).

cnf(c_0_462,negated_conjecture,
    ( hskp13
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_365]) ).

cnf(c_0_463,negated_conjecture,
    ( hskp9
    | c1_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_366]) ).

cnf(c_0_464,negated_conjecture,
    ( c1_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_367]) ).

cnf(c_0_465,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_368]) ).

cnf(c_0_466,negated_conjecture,
    ( epred17_0
    | hskp20
    | hskp9
    | hskp7
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_369,c_0_370]) ).

cnf(c_0_467,negated_conjecture,
    ( epred17_0
    | epred2_0
    | hskp9
    | hskp7
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_371,c_0_370]) ).

cnf(c_0_468,negated_conjecture,
    ( epred53_0
    | epred4_0
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_320,c_0_372]) ).

cnf(c_0_469,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp12
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_373,c_0_288]) ).

cnf(c_0_470,negated_conjecture,
    ( epred4_0
    | hskp12
    | hskp1
    | epred33_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_471,negated_conjecture,
    ( epred54_0
    | hskp12
    | hskp1
    | ~ c0_1(a430)
    | ~ c2_1(a430)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_313,c_0_376]) ).

cnf(c_0_472,negated_conjecture,
    ( epred2_0
    | c3_1(a430)
    | hskp12
    | hskp1
    | ~ c0_1(a430)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_153,c_0_376]) ).

cnf(c_0_473,negated_conjecture,
    ( epred32_0
    | hskp14
    | c0_1(a434)
    | c3_1(a434)
    | hskp7
    | hskp2
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_177,c_0_377]) ).

cnf(c_0_474,negated_conjecture,
    ( epred53_0
    | epred49_0
    | epred4_0
    | epred1_0
    | epred39_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_475,negated_conjecture,
    ( epred38_0
    | epred32_0
    | epred6_0
    | hskp15
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_476,negated_conjecture,
    ( epred42_0
    | hskp8
    | c0_1(a418)
    | c2_1(a418)
    | epred14_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_382,c_0_196]) ).

cnf(c_0_477,negated_conjecture,
    ( epred24_0
    | hskp1
    | epred2_0
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_252,c_0_383]) ).

cnf(c_0_478,negated_conjecture,
    ( epred41_0
    | epred32_0
    | epred6_0
    | hskp15
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_384,c_0_381]) ).

cnf(c_0_479,negated_conjecture,
    ( epred48_0
    | epred32_0
    | epred1_0
    | hskp15
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_385,c_0_381]) ).

cnf(c_0_480,negated_conjecture,
    ( epred32_0
    | epred20_0
    | epred6_0
    | hskp15
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_386,c_0_381]) ).

cnf(c_0_481,negated_conjecture,
    ( epred43_0
    | epred32_0
    | hskp15
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_387,c_0_381]) ).

cnf(c_0_482,negated_conjecture,
    ( epred25_0
    | hskp1
    | hskp15
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_388,c_0_381]) ).

cnf(c_0_483,negated_conjecture,
    ( epred32_0
    | epred6_0
    | epred1_0
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_389,c_0_183]) ).

cnf(c_0_484,negated_conjecture,
    ( hskp5
    | hskp4
    | hskp27
    | c3_1(a460)
    | c2_1(a460)
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_390,c_0_391]) ).

cnf(c_0_485,negated_conjecture,
    ( epred4_0
    | hskp27
    | hskp23
    | c2_1(a426)
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_392,c_0_14]) ).

cnf(c_0_486,negated_conjecture,
    ( epred49_0
    | epred17_0
    | hskp9
    | c3_1(a403)
    | c2_1(a403)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_119,c_0_393]) ).

cnf(c_0_487,negated_conjecture,
    ( epred30_0
    | epred6_0
    | hskp10
    | epred42_0
    | epred37_0
    | epred32_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_488,negated_conjecture,
    ( epred32_0
    | hskp14
    | c0_1(a434)
    | c3_1(a434)
    | epred22_0
    | hskp28
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_177,c_0_396]) ).

cnf(c_0_489,negated_conjecture,
    ( epred1_0
    | hskp20
    | c3_1(a430)
    | ~ c2_1(a430)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_397,c_0_46]) ).

cnf(c_0_490,negated_conjecture,
    ( hskp20
    | hskp27
    | c3_1(a460)
    | c2_1(a460)
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_213,c_0_391]) ).

cnf(c_0_491,negated_conjecture,
    ( epred54_0
    | epred18_0
    | c3_1(a430)
    | ~ c2_1(a430)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_398,c_0_46]) ).

cnf(c_0_492,negated_conjecture,
    ( epred54_0
    | epred1_0
    | c3_1(a430)
    | ~ c2_1(a430)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_399,c_0_46]) ).

cnf(c_0_493,negated_conjecture,
    ( epred2_0
    | hskp27
    | c3_1(a460)
    | c2_1(a460)
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_331,c_0_391]) ).

cnf(c_0_494,negated_conjecture,
    ( hskp27
    | c3_1(a403)
    | c2_1(a403)
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_119,c_0_391]) ).

cnf(c_0_495,negated_conjecture,
    ( hskp27
    | c3_1(a434)
    | c2_1(a434)
    | hskp0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_219,c_0_391]) ).

cnf(c_0_496,negated_conjecture,
    ( hskp2
    | c0_1(a420)
    | hskp1
    | c2_1(a420)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_225,c_0_400]) ).

cnf(c_0_497,negated_conjecture,
    ( epred24_0
    | hskp20
    | hskp2
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_73,c_0_401]) ).

cnf(c_0_498,negated_conjecture,
    ( epred24_0
    | epred2_0
    | hskp2
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_402,c_0_401]) ).

cnf(c_0_499,negated_conjecture,
    ( epred51_0
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_405]) ).

cnf(c_0_500,negated_conjecture,
    ( epred53_0
    | hskp20
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_73,c_0_406]) ).

cnf(c_0_501,negated_conjecture,
    ( epred53_0
    | epred2_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_402,c_0_406]) ).

cnf(c_0_502,negated_conjecture,
    ( hskp20
    | hskp11
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_407,c_0_322]) ).

cnf(c_0_503,negated_conjecture,
    ( epred52_0
    | epred18_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_504,negated_conjecture,
    ( epred1_0
    | hskp11
    | hskp2
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_341,c_0_410]) ).

cnf(c_0_505,negated_conjecture,
    ( epred31_0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_413]) ).

cnf(c_0_506,negated_conjecture,
    ( epred24_0
    | hskp2
    | hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_252,c_0_183]) ).

cnf(c_0_507,negated_conjecture,
    ( epred50_0
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_414,c_0_183]) ).

cnf(c_0_508,negated_conjecture,
    ( epred43_0
    | epred32_0
    | hskp15
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_387,c_0_415]) ).

cnf(c_0_509,negated_conjecture,
    ( epred39_0
    | epred24_0
    | hskp20
    | hskp7
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_510,negated_conjecture,
    ( epred17_0
    | epred2_0
    | hskp27
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_511,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp16
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_217]),c_0_219]) ).

cnf(c_0_512,negated_conjecture,
    ( epred18_0
    | hskp16
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_420]),c_0_262]) ).

cnf(c_0_513,negated_conjecture,
    ( epred17_0
    | hskp9
    | hskp7
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_285,c_0_417]) ).

cnf(c_0_514,negated_conjecture,
    ( epred38_0
    | hskp16
    | hskp7
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_336,c_0_421]) ).

cnf(c_0_515,negated_conjecture,
    ( epred30_0
    | epred14_0
    | epred3_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_516,negated_conjecture,
    ( epred14_0
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[c_0_194,c_0_419]) ).

cnf(c_0_517,negated_conjecture,
    ( epred53_0
    | epred38_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_424,c_0_425]) ).

cnf(c_0_518,negated_conjecture,
    ( epred52_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_341,c_0_426]) ).

cnf(c_0_519,negated_conjecture,
    ( epred39_0
    | epred18_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_131,c_0_296]) ).

cnf(c_0_520,negated_conjecture,
    ( epred52_0
    | epred49_0
    | ~ epred51_0
    | ~ epred50_0 ),
    inference(spm,[status(thm)],[c_0_427,c_0_428]) ).

cnf(c_0_521,negated_conjecture,
    ( epred37_0
    | epred6_0
    | hskp19
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_239,c_0_250]) ).

cnf(c_0_522,negated_conjecture,
    ( epred33_0
    | epred4_0
    | epred1_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_105,c_0_375]) ).

cnf(c_0_523,negated_conjecture,
    ( epred38_0
    | epred33_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_429,c_0_430]) ).

cnf(c_0_524,negated_conjecture,
    ( epred33_0
    | epred4_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_105,c_0_430]) ).

cnf(c_0_525,negated_conjecture,
    ( epred43_0
    | epred32_0
    | epred2_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_304,c_0_431]) ).

cnf(c_0_526,negated_conjecture,
    ( epred43_0
    | epred32_0
    | epred3_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_304,c_0_432]) ).

cnf(c_0_527,negated_conjecture,
    ( epred29_0
    | hskp4
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_93]),c_0_91]),c_0_95]) ).

cnf(c_0_528,negated_conjecture,
    ( epred49_0
    | epred43_0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_434,c_0_149]) ).

cnf(c_0_529,negated_conjecture,
    ( epred24_0
    | hskp20
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_73]) ).

cnf(c_0_530,negated_conjecture,
    ( epred24_0
    | epred2_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_436]),c_0_402]) ).

cnf(c_0_531,negated_conjecture,
    ( epred24_0
    | epred14_0
    | hskp1
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_329,c_0_437]) ).

cnf(c_0_532,negated_conjecture,
    ( epred38_0
    | epred22_0
    | epred18_0
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_337,c_0_438]) ).

cnf(c_0_533,negated_conjecture,
    ( epred54_0
    | epred21_0
    | hskp13
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_439,c_0_440]) ).

cnf(c_0_534,negated_conjecture,
    ( epred38_0
    | hskp20
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_535,negated_conjecture,
    ( epred54_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_205]),c_0_206]),c_0_207]) ).

cnf(c_0_536,negated_conjecture,
    ( epred53_0
    | epred3_0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_443,c_0_273]) ).

cnf(c_0_537,negated_conjecture,
    ( epred51_0
    | ~ hskp1
    | ~ c2_1(a401) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_42]) ).

cnf(c_0_538,negated_conjecture,
    ( epred44_0
    | epred18_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_444]) ).

cnf(c_0_539,negated_conjecture,
    ( epred42_0
    | epred4_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_540,negated_conjecture,
    ( epred23_0
    | epred18_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_447,c_0_420]) ).

cnf(c_0_541,negated_conjecture,
    ( epred18_0
    | epred4_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_290,c_0_420]) ).

cnf(c_0_542,negated_conjecture,
    ( epred16_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_448]),c_0_221]),c_0_222]) ).

cnf(c_0_543,negated_conjecture,
    ( epred14_0
    | c2_1(a401)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_40]),c_0_42]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ epred54_0
    | ~ epred53_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_449,c_0_90]),c_0_34]),c_0_251]) ).

cnf(c_0_545,negated_conjecture,
    ( ~ epred49_0
    | ~ epred38_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_450,c_0_57]),c_0_101]),c_0_29]) ).

cnf(c_0_546,negated_conjecture,
    ( ~ epred43_0
    | ~ epred16_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_451,c_0_174]),c_0_351]),c_0_19]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ epred44_0
    | ~ epred43_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_452,c_0_174]),c_0_72]),c_0_88]) ).

cnf(c_0_548,negated_conjecture,
    ( ~ epred42_0
    | ~ epred41_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_453,c_0_111]),c_0_114]),c_0_112]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ epred39_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_454,c_0_108]),c_0_29]) ).

cnf(c_0_550,negated_conjecture,
    ( ~ epred38_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_455,c_0_115]),c_0_29]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_456,c_0_113]),c_0_7]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_457,c_0_142]),c_0_7]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ epred29_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_458,c_0_345]),c_0_101]) ).

cnf(c_0_554,negated_conjecture,
    ( ~ epred25_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_459,c_0_245]),c_0_70]) ).

cnf(c_0_555,negated_conjecture,
    ( ~ epred24_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_460,c_0_116]),c_0_31]) ).

cnf(c_0_556,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_100]),c_0_284]) ).

cnf(c_0_557,negated_conjecture,
    ( ~ epred21_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_282]),c_0_88]) ).

cnf(c_0_558,negated_conjecture,
    ( ~ epred18_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_154]),c_0_31]) ).

cnf(c_0_559,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_89]),c_0_19]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_20]),c_0_101]) ).

cnf(c_0_561,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_466,c_0_467,c_0_468,c_0_469,c_0_470,c_0_471,c_0_472,c_0_473,c_0_474,c_0_475,c_0_476,c_0_477,c_0_478,c_0_479,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_123,c_0_500,c_0_501,c_0_44,c_0_502,c_0_503,c_0_409,c_0_504,c_0_505,c_0_381,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_419,c_0_335,c_0_517,c_0_425,c_0_188,c_0_408,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_430,c_0_525,c_0_387,c_0_298,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_304,c_0_263,c_0_73,c_0_534,c_0_535,c_0_320,c_0_536,c_0_537,c_0_75,c_0_302,c_0_538,c_0_539,c_0_337,c_0_23,c_0_540,c_0_270,c_0_541,c_0_262,c_0_542,c_0_543,c_0_402,c_0_224,c_0_283,c_0_544,c_0_427,c_0_545,c_0_546,c_0_547,c_0_548,c_0_403,c_0_549,c_0_550,c_0_255,c_0_551,c_0_552,c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_411,c_0_559,c_0_560,c_0_55,c_0_54,c_0_219,c_0_218,c_0_48,c_0_12,c_0_227,c_0_226,c_0_140,c_0_141,c_0_122,c_0_121,c_0_46,c_0_47,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN469+1 : TPTP v8.1.2. Released v2.1.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 10:55:27 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.vTBRVpGhit/E---3.1_26680.p
% 39.15/5.44  # Version: 3.1.0
% 39.15/5.44  # Preprocessing class: FSLSSLSMSSSNFFN.
% 39.15/5.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.15/5.44  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 39.15/5.44  # Starting new_bool_3 with 300s (1) cores
% 39.15/5.44  # Starting new_bool_1 with 300s (1) cores
% 39.15/5.44  # Starting sh5l with 300s (1) cores
% 39.15/5.44  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 26757 completed with status 0
% 39.15/5.44  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 39.15/5.44  # Preprocessing class: FSLSSLSMSSSNFFN.
% 39.15/5.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.15/5.44  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 39.15/5.44  # No SInE strategy applied
% 39.15/5.44  # Search class: FGHNF-FSMS00-SFFFFFNN
% 39.15/5.44  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 39.15/5.44  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 39.15/5.44  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 39.15/5.44  # Starting new_bool_3 with 151s (1) cores
% 39.15/5.44  # Starting new_bool_1 with 151s (1) cores
% 39.15/5.44  # Starting sh5l with 146s (1) cores
% 39.15/5.44  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 26761 completed with status 0
% 39.15/5.44  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 39.15/5.44  # Preprocessing class: FSLSSLSMSSSNFFN.
% 39.15/5.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.15/5.44  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 39.15/5.44  # No SInE strategy applied
% 39.15/5.44  # Search class: FGHNF-FSMS00-SFFFFFNN
% 39.15/5.44  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 39.15/5.44  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 39.15/5.44  # Preprocessing time       : 0.002 s
% 39.15/5.44  # SatCheck found unsatisfiable ground set
% 39.15/5.44  
% 39.15/5.44  # Proof found!
% 39.15/5.44  # SZS status Theorem
% 39.15/5.44  # SZS output start CNFRefutation
% See solution above
% 39.15/5.44  # Parsed axioms                        : 1
% 39.15/5.44  # Removed by relevancy pruning/SinE    : 0
% 39.15/5.44  # Initial clauses                      : 184
% 39.15/5.44  # Removed in clause preprocessing      : 0
% 39.15/5.44  # Initial clauses in saturation        : 184
% 39.15/5.44  # Processed clauses                    : 15439
% 39.15/5.44  # ...of these trivial                  : 0
% 39.15/5.44  # ...subsumed                          : 5439
% 39.15/5.44  # ...remaining for further processing  : 10000
% 39.15/5.44  # Other redundant clauses eliminated   : 0
% 39.15/5.44  # Clauses deleted for lack of memory   : 0
% 39.15/5.44  # Backward-subsumed                    : 2130
% 39.15/5.44  # Backward-rewritten                   : 58
% 39.15/5.44  # Generated clauses                    : 338095
% 39.15/5.44  # ...of the previous two non-redundant : 320723
% 39.15/5.44  # ...aggressively subsumed             : 0
% 39.15/5.44  # Contextual simplify-reflections      : 1071
% 39.15/5.44  # Paramodulations                      : 338007
% 39.15/5.44  # Factorizations                       : 0
% 39.15/5.44  # NegExts                              : 0
% 39.15/5.44  # Equation resolutions                 : 0
% 39.15/5.44  # Disequality decompositions           : 0
% 39.15/5.44  # Total rewrite steps                  : 91
% 39.15/5.44  # ...of those cached                   : 90
% 39.15/5.44  # Propositional unsat checks           : 2
% 39.15/5.44  #    Propositional check models        : 1
% 39.15/5.44  #    Propositional check unsatisfiable : 1
% 39.15/5.44  #    Propositional clauses             : 311186
% 39.15/5.44  #    Propositional clauses after purity: 307597
% 39.15/5.44  #    Propositional unsat core size     : 139
% 39.15/5.44  #    Propositional preprocessing time  : 0.000
% 39.15/5.44  #    Propositional encoding time       : 0.107
% 39.15/5.44  #    Propositional solver time         : 0.430
% 39.15/5.44  #    Success case prop preproc time    : 0.000
% 39.15/5.44  #    Success case prop encoding time   : 0.084
% 39.15/5.44  #    Success case prop solver time     : 0.380
% 39.15/5.44  # Current number of processed clauses  : 7778
% 39.15/5.44  #    Positive orientable unit clauses  : 1
% 39.15/5.44  #    Positive unorientable unit clauses: 0
% 39.15/5.44  #    Negative unit clauses             : 0
% 39.15/5.44  #    Non-unit-clauses                  : 7777
% 39.15/5.44  # Current number of unprocessed clauses: 303408
% 39.15/5.44  # ...number of literals in the above   : 2154825
% 39.15/5.44  # Current number of archived formulas  : 0
% 39.15/5.44  # Current number of archived clauses   : 2188
% 39.15/5.44  # Clause-clause subsumption calls (NU) : 19044125
% 39.15/5.44  # Rec. Clause-clause subsumption calls : 696893
% 39.15/5.44  # Non-unit clause-clause subsumptions  : 8686
% 39.15/5.44  # Unit Clause-clause subsumption calls : 3
% 39.15/5.44  # Rewrite failures with RHS unbound    : 0
% 39.15/5.44  # BW rewrite match attempts            : 1
% 39.15/5.44  # BW rewrite match successes           : 1
% 39.15/5.44  # Condensation attempts                : 15439
% 39.15/5.44  # Condensation successes               : 0
% 39.15/5.44  # Termbank termtop insertions          : 3333961
% 39.15/5.44  # Search garbage collected termcells   : 1973
% 39.15/5.44  
% 39.15/5.44  # -------------------------------------------------
% 39.15/5.44  # User time                : 4.661 s
% 39.15/5.44  # System time              : 0.199 s
% 39.15/5.44  # Total time               : 4.860 s
% 39.15/5.44  # Maximum resident set size: 2872 pages
% 39.15/5.44  
% 39.15/5.44  # -------------------------------------------------
% 39.15/5.44  # User time                : 23.957 s
% 39.15/5.44  # System time              : 0.375 s
% 39.15/5.44  # Total time               : 24.332 s
% 39.15/5.44  # Maximum resident set size: 2028 pages
% 39.15/5.44  % E---3.1 exiting
%------------------------------------------------------------------------------