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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN483+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:25:03 PM UTC 2026

% Result   : Theorem 20.93s 3.75s
% Output   : CNFRefutation 20.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  527 (   2 unt;   0 def)
%            Number of atoms       : 5166 (   0 equ)
%            Maximal formula atoms :  801 (   9 avg)
%            Number of connectives : 6736 (2097   ~;3479   |; 780   &)
%                                         (  47 <=>; 333  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  309 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   83 (  82 usr;  79 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  698 (   0 sgn 491   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( hskp19
        | hskp4
        | hskp15 )
      & ( hskp24
        | hskp9
        | hskp25 )
      & ( hskp5
        | hskp6
        | hskp25 )
      & ( hskp0
        | hskp28
        | hskp10 )
      & ( hskp6
        | hskp1
        | hskp18 )
      & ( hskp12
        | hskp22
        | hskp18 )
      & ( hskp15
        | hskp10
        | hskp18 )
      & ( hskp24
        | hskp10
        | hskp8 )
      & ( hskp16
        | hskp17
        | hskp8 )
      & ( hskp1
        | hskp27
        | hskp29 )
      & ( hskp0
        | hskp28
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c2_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp24
        | hskp0
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp3
        | hskp26
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp19
        | hskp14
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp16
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c0_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c1_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp22
        | hskp27
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp10
        | hskp26
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp10
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c1_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c0_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp9
        | hskp15
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | c3_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp15
        | hskp17
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp20
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | ~ c0_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | c3_1(X98)
              | c2_1(X98) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c3_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp24
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | c2_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp18
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp1
        | hskp7
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp23
        | hskp26
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp18
        | hskp8
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp23
        | hskp8
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp21
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c1_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp5
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp13
        | hskp9
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp20
        | hskp29
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp9
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp27
        | hskp26
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp16
        | hskp22
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp21
        | hskp8
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp9
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp27
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c3_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp27
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp15
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp16
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c0_1(X50)
              | c3_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp19
        | hskp20
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp29
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c1_1(X46)
              | ~ c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp8
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c1_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp27
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c2_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp26
        | hskp29
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp19
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp9
        | hskp1
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp8
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp3
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | ~ c0_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp28
        | hskp27
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp17
        | hskp18
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp17
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c1_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp13
        | hskp16
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp3
        | hskp15
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp4
        | hskp14
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp13
        | hskp12
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp11
        | hskp10
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp9
        | hskp8
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp7
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | ~ c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c1_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp3
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp26
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c2_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp5
        | hskp4
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp3
        | hskp2
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp1
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c2_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c0_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c0_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp0
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( ( c2_1(a1885)
          & c1_1(a1885)
          & c0_1(a1885)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a1878)
          & c2_1(a1878)
          & c1_1(a1878)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a1877)
          & c2_1(a1877)
          & c0_1(a1877)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a1858)
          & c1_1(a1858)
          & c0_1(a1858)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a1960)
          & c2_1(a1960)
          & c1_1(a1960)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a1919)
          & ~ c1_1(a1919)
          & c3_1(a1919)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a1911)
          & ~ c1_1(a1911)
          & c0_1(a1911)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1899)
          & ~ c2_1(a1899)
          & c0_1(a1899)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1898)
          & ~ c0_1(a1898)
          & c3_1(a1898)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a1890)
          & ~ c0_1(a1890)
          & c2_1(a1890)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a1884)
          & ~ c1_1(a1884)
          & ~ c0_1(a1884)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a1875)
          & c1_1(a1875)
          & c0_1(a1875)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a1874)
          & c2_1(a1874)
          & c0_1(a1874)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c0_1(a1872)
          & c3_1(a1872)
          & c2_1(a1872)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a1870)
          & ~ c0_1(a1870)
          & c1_1(a1870)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1868)
          & c3_1(a1868)
          & c0_1(a1868)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a1867)
          & ~ c2_1(a1867)
          & ~ c1_1(a1867)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a1866)
          & ~ c0_1(a1866)
          & c3_1(a1866)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a1865)
          & ~ c2_1(a1865)
          & ~ c0_1(a1865)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a1864)
          & c3_1(a1864)
          & c0_1(a1864)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a1863)
          & ~ c1_1(a1863)
          & c2_1(a1863)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a1862)
          & c1_1(a1862)
          & c0_1(a1862)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a1861)
          & ~ c1_1(a1861)
          & c0_1(a1861)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a1860)
          & ~ c0_1(a1860)
          & c1_1(a1860)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1857)
          & ~ c0_1(a1857)
          & c2_1(a1857)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a1856)
          & c3_1(a1856)
          & c2_1(a1856)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1855)
          & ~ c1_1(a1855)
          & ~ c0_1(a1855)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a1854)
          & c2_1(a1854)
          & c1_1(a1854)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a1853)
          & c3_1(a1853)
          & c1_1(a1853)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1852)
          & c3_1(a1852)
          & c1_1(a1852)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp4
          | hskp15 )
        & ( hskp24
          | hskp9
          | hskp25 )
        & ( hskp5
          | hskp6
          | hskp25 )
        & ( hskp0
          | hskp28
          | hskp10 )
        & ( hskp6
          | hskp1
          | hskp18 )
        & ( hskp12
          | hskp22
          | hskp18 )
        & ( hskp15
          | hskp10
          | hskp18 )
        & ( hskp24
          | hskp10
          | hskp8 )
        & ( hskp16
          | hskp17
          | hskp8 )
        & ( hskp1
          | hskp27
          | hskp29 )
        & ( hskp0
          | hskp28
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp24
          | hskp0
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp3
          | hskp26
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp19
          | hskp14
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp16
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp22
          | hskp27
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp10
          | hskp26
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp10
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp9
          | hskp15
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp15
          | hskp17
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp20
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c3_1(X98)
                | c2_1(X98) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp24
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp18
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp1
          | hskp7
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp23
          | hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp18
          | hskp8
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp23
          | hskp8
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp21
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c1_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp5
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp13
          | hskp9
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp20
          | hskp29
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp9
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp27
          | hskp26
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp16
          | hskp22
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp21
          | hskp8
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp9
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp27
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp27
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp15
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c0_1(X50)
                | c3_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp19
          | hskp20
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp29
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp26
          | hskp29
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp19
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp9
          | hskp1
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp8
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp3
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | ~ c0_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp28
          | hskp27
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp17
          | hskp18
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp17
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp13
          | hskp16
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp3
          | hskp15
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp4
          | hskp14
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp13
          | hskp12
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp11
          | hskp10
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp9
          | hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp7
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c1_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp26
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c2_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp5
          | hskp4
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | hskp2
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp1
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp0
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( ( c2_1(a1885)
            & c1_1(a1885)
            & c0_1(a1885)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1878)
            & c2_1(a1878)
            & c1_1(a1878)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1877)
            & c2_1(a1877)
            & c0_1(a1877)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a1858)
            & c1_1(a1858)
            & c0_1(a1858)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1960)
            & c2_1(a1960)
            & c1_1(a1960)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a1919)
            & ~ c1_1(a1919)
            & c3_1(a1919)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1911)
            & ~ c1_1(a1911)
            & c0_1(a1911)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1899)
            & ~ c2_1(a1899)
            & c0_1(a1899)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1898)
            & ~ c0_1(a1898)
            & c3_1(a1898)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1890)
            & ~ c0_1(a1890)
            & c2_1(a1890)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1884)
            & ~ c1_1(a1884)
            & ~ c0_1(a1884)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a1875)
            & c1_1(a1875)
            & c0_1(a1875)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1874)
            & c2_1(a1874)
            & c0_1(a1874)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a1872)
            & c3_1(a1872)
            & c2_1(a1872)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1870)
            & ~ c0_1(a1870)
            & c1_1(a1870)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1868)
            & c3_1(a1868)
            & c0_1(a1868)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1867)
            & ~ c2_1(a1867)
            & ~ c1_1(a1867)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a1866)
            & ~ c0_1(a1866)
            & c3_1(a1866)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1865)
            & ~ c2_1(a1865)
            & ~ c0_1(a1865)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1864)
            & c3_1(a1864)
            & c0_1(a1864)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1863)
            & ~ c1_1(a1863)
            & c2_1(a1863)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a1862)
            & c1_1(a1862)
            & c0_1(a1862)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1861)
            & ~ c1_1(a1861)
            & c0_1(a1861)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1860)
            & ~ c0_1(a1860)
            & c1_1(a1860)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1857)
            & ~ c0_1(a1857)
            & c2_1(a1857)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a1856)
            & c3_1(a1856)
            & c2_1(a1856)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1855)
            & ~ c1_1(a1855)
            & ~ c0_1(a1855)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1854)
            & c2_1(a1854)
            & c1_1(a1854)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1853)
            & c3_1(a1853)
            & c1_1(a1853)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1852)
            & c3_1(a1852)
            & c1_1(a1852)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp4
          | hskp15 )
        & ( hskp24
          | hskp9
          | hskp25 )
        & ( hskp5
          | hskp6
          | hskp25 )
        & ( hskp0
          | hskp28
          | hskp10 )
        & ( hskp6
          | hskp1
          | hskp18 )
        & ( hskp12
          | hskp22
          | hskp18 )
        & ( hskp15
          | hskp10
          | hskp18 )
        & ( hskp24
          | hskp10
          | hskp8 )
        & ( hskp16
          | hskp17
          | hskp8 )
        & ( hskp1
          | hskp27
          | hskp29 )
        & ( hskp0
          | hskp28
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp24
          | hskp0
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp3
          | hskp26
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp19
          | hskp14
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp16
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp22
          | hskp27
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp10
          | hskp26
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp10
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp9
          | hskp15
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | c3_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp15
          | hskp17
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp20
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c3_1(X98)
                | c2_1(X98) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp24
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp18
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp1
          | hskp7
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp23
          | hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp18
          | hskp8
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp23
          | hskp8
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp21
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c1_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp5
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp13
          | hskp9
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp20
          | hskp29
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp9
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp27
          | hskp26
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp16
          | hskp22
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp21
          | hskp8
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp9
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp27
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp27
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp15
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c0_1(X50)
                | c3_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp19
          | hskp20
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp29
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp26
          | hskp29
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp19
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp9
          | hskp1
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp8
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp3
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | ~ c0_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp28
          | hskp27
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp17
          | hskp18
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp17
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp13
          | hskp16
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp3
          | hskp15
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp4
          | hskp14
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp13
          | hskp12
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp11
          | hskp10
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp9
          | hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp7
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c1_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp26
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c2_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp5
          | hskp4
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | hskp2
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp1
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp0
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( ( c2_1(a1885)
            & c1_1(a1885)
            & c0_1(a1885)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a1878)
            & c2_1(a1878)
            & c1_1(a1878)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a1877)
            & c2_1(a1877)
            & c0_1(a1877)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a1858)
            & c1_1(a1858)
            & c0_1(a1858)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a1960)
            & c2_1(a1960)
            & c1_1(a1960)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a1919)
            & ~ c1_1(a1919)
            & c3_1(a1919)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a1911)
            & ~ c1_1(a1911)
            & c0_1(a1911)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1899)
            & ~ c2_1(a1899)
            & c0_1(a1899)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1898)
            & ~ c0_1(a1898)
            & c3_1(a1898)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1890)
            & ~ c0_1(a1890)
            & c2_1(a1890)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a1884)
            & ~ c1_1(a1884)
            & ~ c0_1(a1884)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a1875)
            & c1_1(a1875)
            & c0_1(a1875)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a1874)
            & c2_1(a1874)
            & c0_1(a1874)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c0_1(a1872)
            & c3_1(a1872)
            & c2_1(a1872)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a1870)
            & ~ c0_1(a1870)
            & c1_1(a1870)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1868)
            & c3_1(a1868)
            & c0_1(a1868)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a1867)
            & ~ c2_1(a1867)
            & ~ c1_1(a1867)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a1866)
            & ~ c0_1(a1866)
            & c3_1(a1866)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a1865)
            & ~ c2_1(a1865)
            & ~ c0_1(a1865)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a1864)
            & c3_1(a1864)
            & c0_1(a1864)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a1863)
            & ~ c1_1(a1863)
            & c2_1(a1863)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a1862)
            & c1_1(a1862)
            & c0_1(a1862)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1861)
            & ~ c1_1(a1861)
            & c0_1(a1861)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a1860)
            & ~ c0_1(a1860)
            & c1_1(a1860)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1857)
            & ~ c0_1(a1857)
            & c2_1(a1857)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a1856)
            & c3_1(a1856)
            & c2_1(a1856)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1855)
            & ~ c1_1(a1855)
            & ~ c0_1(a1855)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1854)
            & c2_1(a1854)
            & c1_1(a1854)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1853)
            & c3_1(a1853)
            & c1_1(a1853)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1852)
            & c3_1(a1852)
            & c1_1(a1852)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [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,X215,X216,X217,X218,X219,X220,X221,X222] :
      ( ( hskp19
        | hskp4
        | hskp15 )
      & ( hskp24
        | hskp9
        | hskp25 )
      & ( hskp5
        | hskp6
        | hskp25 )
      & ( hskp0
        | hskp28
        | hskp10 )
      & ( hskp6
        | hskp1
        | hskp18 )
      & ( hskp12
        | hskp22
        | hskp18 )
      & ( hskp15
        | hskp10
        | hskp18 )
      & ( hskp24
        | hskp10
        | hskp8 )
      & ( hskp16
        | hskp17
        | hskp8 )
      & ( hskp1
        | hskp27
        | hskp29 )
      & ( hskp0
        | hskp28
        | ~ c3_1(X222)
        | ~ c2_1(X222)
        | ~ c0_1(X222)
        | ~ ndr1_0 )
      & ( hskp24
        | hskp0
        | ~ c2_1(X221)
        | ~ c1_1(X221)
        | ~ c0_1(X221)
        | ~ ndr1_0 )
      & ( hskp3
        | hskp26
        | ~ c2_1(X220)
        | ~ c1_1(X220)
        | ~ c0_1(X220)
        | ~ ndr1_0 )
      & ( hskp19
        | hskp14
        | ~ c3_1(X219)
        | ~ c1_1(X219)
        | c2_1(X219)
        | ~ ndr1_0 )
      & ( hskp16
        | ~ c3_1(X218)
        | ~ c2_1(X218)
        | ~ c0_1(X218)
        | ~ ndr1_0
        | ~ c3_1(X217)
        | ~ c1_1(X217)
        | c2_1(X217)
        | ~ ndr1_0 )
      & ( hskp22
        | hskp27
        | ~ c3_1(X216)
        | ~ c0_1(X216)
        | c2_1(X216)
        | ~ ndr1_0 )
      & ( hskp10
        | hskp26
        | ~ c1_1(X215)
        | ~ c0_1(X215)
        | c2_1(X215)
        | ~ ndr1_0 )
      & ( hskp10
        | ~ c3_1(X214)
        | ~ c2_1(X214)
        | ~ c1_1(X214)
        | ~ ndr1_0
        | ~ c1_1(X213)
        | ~ c0_1(X213)
        | c2_1(X213)
        | ~ ndr1_0 )
      & ( hskp9
        | hskp15
        | ~ c1_1(X212)
        | c3_1(X212)
        | c2_1(X212)
        | ~ ndr1_0 )
      & ( hskp15
        | hskp17
        | ~ c1_1(X211)
        | c3_1(X211)
        | c2_1(X211)
        | ~ ndr1_0 )
      & ( hskp20
        | ~ c3_1(X210)
        | ~ c1_1(X210)
        | ~ c0_1(X210)
        | ~ ndr1_0
        | ~ c1_1(X209)
        | c3_1(X209)
        | c2_1(X209)
        | ~ ndr1_0 )
      & ( ~ c1_1(X208)
        | ~ c0_1(X208)
        | c3_1(X208)
        | ~ ndr1_0
        | ~ c1_1(X207)
        | ~ c0_1(X207)
        | c2_1(X207)
        | ~ ndr1_0
        | ~ c1_1(X206)
        | c3_1(X206)
        | c2_1(X206)
        | ~ ndr1_0 )
      & ( hskp24
        | ~ c3_1(X205)
        | ~ c2_1(X205)
        | ~ c0_1(X205)
        | ~ ndr1_0
        | ~ c0_1(X204)
        | c3_1(X204)
        | c2_1(X204)
        | ~ ndr1_0 )
      & ( ~ c3_1(X203)
        | ~ c1_1(X203)
        | ~ c0_1(X203)
        | ~ ndr1_0
        | ~ c3_1(X202)
        | ~ c1_1(X202)
        | c2_1(X202)
        | ~ ndr1_0
        | ~ c0_1(X201)
        | c3_1(X201)
        | c2_1(X201)
        | ~ ndr1_0 )
      & ( hskp18
        | ~ c1_1(X200)
        | ~ c0_1(X200)
        | c2_1(X200)
        | ~ ndr1_0
        | ~ c3_1(X199)
        | ~ c2_1(X199)
        | c1_1(X199)
        | ~ ndr1_0 )
      & ( hskp1
        | hskp7
        | ~ c3_1(X198)
        | ~ c0_1(X198)
        | c1_1(X198)
        | ~ ndr1_0 )
      & ( hskp23
        | hskp26
        | ~ c3_1(X197)
        | ~ c0_1(X197)
        | c1_1(X197)
        | ~ ndr1_0 )
      & ( hskp18
        | hskp8
        | ~ c2_1(X196)
        | ~ c0_1(X196)
        | c1_1(X196)
        | ~ ndr1_0 )
      & ( hskp23
        | hskp8
        | ~ c2_1(X195)
        | c3_1(X195)
        | c1_1(X195)
        | ~ ndr1_0 )
      & ( ~ c2_1(X194)
        | ~ c1_1(X194)
        | ~ c0_1(X194)
        | ~ ndr1_0
        | ~ c3_1(X193)
        | ~ c2_1(X193)
        | c1_1(X193)
        | ~ ndr1_0
        | ~ c2_1(X192)
        | c3_1(X192)
        | c1_1(X192)
        | ~ ndr1_0 )
      & ( hskp21
        | ~ c2_1(X191)
        | ~ c1_1(X191)
        | ~ c0_1(X191)
        | ~ ndr1_0
        | ~ c0_1(X190)
        | c3_1(X190)
        | c1_1(X190)
        | ~ ndr1_0 )
      & ( hskp5
        | ~ c3_1(X189)
        | ~ c1_1(X189)
        | c2_1(X189)
        | ~ ndr1_0
        | ~ c0_1(X188)
        | c3_1(X188)
        | c1_1(X188)
        | ~ ndr1_0 )
      & ( hskp13
        | hskp9
        | ~ c3_1(X187)
        | c2_1(X187)
        | c1_1(X187)
        | ~ ndr1_0 )
      & ( hskp20
        | hskp29
        | ~ c3_1(X186)
        | c2_1(X186)
        | c1_1(X186)
        | ~ ndr1_0 )
      & ( hskp9
        | ~ c0_1(X185)
        | c3_1(X185)
        | c2_1(X185)
        | ~ ndr1_0
        | ~ c3_1(X184)
        | c2_1(X184)
        | c1_1(X184)
        | ~ ndr1_0 )
      & ( hskp27
        | hskp26
        | ~ c0_1(X183)
        | c2_1(X183)
        | c1_1(X183)
        | ~ ndr1_0 )
      & ( hskp16
        | hskp22
        | c3_1(X182)
        | c2_1(X182)
        | c1_1(X182)
        | ~ ndr1_0 )
      & ( hskp21
        | hskp8
        | c3_1(X181)
        | c2_1(X181)
        | c1_1(X181)
        | ~ ndr1_0 )
      & ( hskp9
        | ~ c1_1(X180)
        | c3_1(X180)
        | c2_1(X180)
        | ~ ndr1_0
        | c3_1(X179)
        | c2_1(X179)
        | c1_1(X179)
        | ~ ndr1_0 )
      & ( ~ c1_1(X178)
        | c3_1(X178)
        | c2_1(X178)
        | ~ ndr1_0
        | ~ c3_1(X177)
        | ~ c0_1(X177)
        | c1_1(X177)
        | ~ ndr1_0
        | c3_1(X176)
        | c2_1(X176)
        | c1_1(X176)
        | ~ ndr1_0 )
      & ( hskp27
        | ~ c1_1(X175)
        | ~ c0_1(X175)
        | c3_1(X175)
        | ~ ndr1_0
        | ~ c3_1(X174)
        | ~ c2_1(X174)
        | c0_1(X174)
        | ~ ndr1_0 )
      & ( ~ c1_1(X173)
        | c3_1(X173)
        | c2_1(X173)
        | ~ ndr1_0
        | ~ c3_1(X172)
        | ~ c2_1(X172)
        | c1_1(X172)
        | ~ ndr1_0
        | ~ c3_1(X171)
        | ~ c2_1(X171)
        | c0_1(X171)
        | ~ ndr1_0 )
      & ( ~ c3_1(X170)
        | ~ c1_1(X170)
        | c2_1(X170)
        | ~ ndr1_0
        | ~ c3_1(X169)
        | ~ c0_1(X169)
        | c1_1(X169)
        | ~ ndr1_0
        | ~ c3_1(X168)
        | ~ c2_1(X168)
        | c0_1(X168)
        | ~ ndr1_0 )
      & ( hskp27
        | ~ c2_1(X167)
        | c3_1(X167)
        | c1_1(X167)
        | ~ ndr1_0
        | ~ c3_1(X166)
        | ~ c2_1(X166)
        | c0_1(X166)
        | ~ ndr1_0 )
      & ( hskp15
        | ~ c0_1(X165)
        | c3_1(X165)
        | c1_1(X165)
        | ~ ndr1_0
        | ~ c3_1(X164)
        | ~ c2_1(X164)
        | c0_1(X164)
        | ~ ndr1_0 )
      & ( hskp16
        | ~ c1_1(X163)
        | ~ c0_1(X163)
        | c2_1(X163)
        | ~ ndr1_0
        | ~ c3_1(X162)
        | ~ c1_1(X162)
        | c0_1(X162)
        | ~ ndr1_0 )
      & ( ~ c2_1(X161)
        | ~ c0_1(X161)
        | c3_1(X161)
        | ~ ndr1_0
        | ~ c2_1(X160)
        | c3_1(X160)
        | c1_1(X160)
        | ~ ndr1_0
        | ~ c3_1(X159)
        | ~ c1_1(X159)
        | c0_1(X159)
        | ~ ndr1_0 )
      & ( hskp19
        | hskp20
        | ~ c2_1(X158)
        | ~ c1_1(X158)
        | c0_1(X158)
        | ~ ndr1_0 )
      & ( hskp29
        | ~ c2_1(X157)
        | ~ c1_1(X157)
        | ~ c0_1(X157)
        | ~ ndr1_0
        | ~ c2_1(X156)
        | ~ c1_1(X156)
        | c0_1(X156)
        | ~ ndr1_0 )
      & ( hskp8
        | ~ c3_1(X155)
        | c2_1(X155)
        | c1_1(X155)
        | ~ ndr1_0
        | ~ c2_1(X154)
        | ~ c1_1(X154)
        | c0_1(X154)
        | ~ ndr1_0 )
      & ( hskp27
        | ~ c0_1(X153)
        | c2_1(X153)
        | c1_1(X153)
        | ~ ndr1_0
        | ~ c2_1(X152)
        | c3_1(X152)
        | c0_1(X152)
        | ~ ndr1_0 )
      & ( hskp26
        | hskp29
        | ~ c1_1(X151)
        | c3_1(X151)
        | c0_1(X151)
        | ~ ndr1_0 )
      & ( hskp19
        | ~ c2_1(X150)
        | ~ c1_1(X150)
        | c3_1(X150)
        | ~ ndr1_0
        | ~ c1_1(X149)
        | c3_1(X149)
        | c0_1(X149)
        | ~ ndr1_0 )
      & ( hskp11
        | ~ c3_1(X148)
        | ~ c2_1(X148)
        | c1_1(X148)
        | ~ ndr1_0
        | ~ c1_1(X147)
        | c3_1(X147)
        | c0_1(X147)
        | ~ ndr1_0 )
      & ( hskp9
        | hskp1
        | ~ c1_1(X146)
        | c2_1(X146)
        | c0_1(X146)
        | ~ ndr1_0 )
      & ( hskp8
        | ~ c3_1(X145)
        | ~ c2_1(X145)
        | ~ c0_1(X145)
        | ~ ndr1_0
        | ~ c1_1(X144)
        | c2_1(X144)
        | c0_1(X144)
        | ~ ndr1_0 )
      & ( hskp3
        | ~ c1_1(X143)
        | ~ c0_1(X143)
        | c2_1(X143)
        | ~ ndr1_0
        | ~ c1_1(X142)
        | c2_1(X142)
        | c0_1(X142)
        | ~ ndr1_0 )
      & ( hskp28
        | hskp27
        | c3_1(X141)
        | c2_1(X141)
        | c0_1(X141)
        | ~ ndr1_0 )
      & ( hskp17
        | hskp18
        | c3_1(X140)
        | c2_1(X140)
        | c0_1(X140)
        | ~ ndr1_0 )
      & ( hskp17
        | ~ c3_1(X139)
        | ~ c1_1(X139)
        | c0_1(X139)
        | ~ ndr1_0
        | c3_1(X138)
        | c2_1(X138)
        | c0_1(X138)
        | ~ ndr1_0 )
      & ( hskp13
        | hskp16
        | ~ c3_1(X137)
        | c1_1(X137)
        | c0_1(X137)
        | ~ ndr1_0 )
      & ( hskp3
        | hskp15
        | ~ c3_1(X136)
        | c1_1(X136)
        | c0_1(X136)
        | ~ ndr1_0 )
      & ( hskp4
        | hskp14
        | ~ c3_1(X135)
        | c1_1(X135)
        | c0_1(X135)
        | ~ ndr1_0 )
      & ( hskp13
        | hskp12
        | ~ c2_1(X134)
        | c1_1(X134)
        | c0_1(X134)
        | ~ ndr1_0 )
      & ( hskp11
        | hskp10
        | ~ c2_1(X133)
        | c1_1(X133)
        | c0_1(X133)
        | ~ ndr1_0 )
      & ( hskp9
        | hskp8
        | ~ c2_1(X132)
        | c1_1(X132)
        | c0_1(X132)
        | ~ ndr1_0 )
      & ( hskp7
        | ~ c3_1(X131)
        | ~ c2_1(X131)
        | ~ c1_1(X131)
        | ~ ndr1_0
        | c3_1(X130)
        | c1_1(X130)
        | c0_1(X130)
        | ~ ndr1_0 )
      & ( hskp6
        | ~ c2_1(X129)
        | ~ c1_1(X129)
        | ~ c0_1(X129)
        | ~ ndr1_0
        | c3_1(X128)
        | c1_1(X128)
        | c0_1(X128)
        | ~ ndr1_0 )
      & ( hskp3
        | ~ c0_1(X127)
        | c3_1(X127)
        | c2_1(X127)
        | ~ ndr1_0
        | c3_1(X126)
        | c1_1(X126)
        | c0_1(X126)
        | ~ ndr1_0 )
      & ( hskp26
        | c3_1(X125)
        | c2_1(X125)
        | c1_1(X125)
        | ~ ndr1_0
        | c3_1(X124)
        | c1_1(X124)
        | c0_1(X124)
        | ~ ndr1_0 )
      & ( hskp5
        | hskp4
        | c2_1(X123)
        | c1_1(X123)
        | c0_1(X123)
        | ~ ndr1_0 )
      & ( hskp3
        | hskp2
        | c2_1(X122)
        | c1_1(X122)
        | c0_1(X122)
        | ~ ndr1_0 )
      & ( hskp1
        | ~ c3_1(X121)
        | c2_1(X121)
        | c1_1(X121)
        | ~ ndr1_0
        | c2_1(X120)
        | c1_1(X120)
        | c0_1(X120)
        | ~ ndr1_0 )
      & ( ~ c3_1(X119)
        | ~ c0_1(X119)
        | c2_1(X119)
        | ~ ndr1_0
        | ~ c2_1(X118)
        | ~ c1_1(X118)
        | c0_1(X118)
        | ~ ndr1_0
        | c2_1(X117)
        | c1_1(X117)
        | c0_1(X117)
        | ~ ndr1_0 )
      & ( ~ c2_1(X116)
        | ~ c0_1(X116)
        | c1_1(X116)
        | ~ ndr1_0
        | ~ c2_1(X115)
        | ~ c1_1(X115)
        | c0_1(X115)
        | ~ ndr1_0
        | c2_1(X114)
        | c1_1(X114)
        | c0_1(X114)
        | ~ ndr1_0 )
      & ( hskp0
        | ~ c2_1(X113)
        | c1_1(X113)
        | c0_1(X113)
        | ~ ndr1_0
        | c2_1(X112)
        | c1_1(X112)
        | c0_1(X112)
        | ~ ndr1_0 )
      & ( ~ hskp29
        | c2_1(a1885) )
      & ( ~ hskp29
        | c1_1(a1885) )
      & ( ~ hskp29
        | c0_1(a1885) )
      & ( ~ hskp29
        | ndr1_0 )
      & ( ~ hskp28
        | c3_1(a1878) )
      & ( ~ hskp28
        | c2_1(a1878) )
      & ( ~ hskp28
        | c1_1(a1878) )
      & ( ~ hskp28
        | ndr1_0 )
      & ( ~ hskp27
        | c3_1(a1877) )
      & ( ~ hskp27
        | c2_1(a1877) )
      & ( ~ hskp27
        | c0_1(a1877) )
      & ( ~ hskp27
        | ndr1_0 )
      & ( ~ hskp26
        | c3_1(a1858) )
      & ( ~ hskp26
        | c1_1(a1858) )
      & ( ~ hskp26
        | c0_1(a1858) )
      & ( ~ hskp26
        | ndr1_0 )
      & ( ~ hskp25
        | ~ c0_1(a1960) )
      & ( ~ hskp25
        | c2_1(a1960) )
      & ( ~ hskp25
        | c1_1(a1960) )
      & ( ~ hskp25
        | ndr1_0 )
      & ( ~ hskp24
        | ~ c2_1(a1919) )
      & ( ~ hskp24
        | ~ c1_1(a1919) )
      & ( ~ hskp24
        | c3_1(a1919) )
      & ( ~ hskp24
        | ndr1_0 )
      & ( ~ hskp23
        | ~ c3_1(a1911) )
      & ( ~ hskp23
        | ~ c1_1(a1911) )
      & ( ~ hskp23
        | c0_1(a1911) )
      & ( ~ hskp23
        | ndr1_0 )
      & ( ~ hskp22
        | ~ c3_1(a1899) )
      & ( ~ hskp22
        | ~ c2_1(a1899) )
      & ( ~ hskp22
        | c0_1(a1899) )
      & ( ~ hskp22
        | ndr1_0 )
      & ( ~ hskp21
        | ~ c1_1(a1898) )
      & ( ~ hskp21
        | ~ c0_1(a1898) )
      & ( ~ hskp21
        | c3_1(a1898) )
      & ( ~ hskp21
        | ndr1_0 )
      & ( ~ hskp20
        | ~ c1_1(a1890) )
      & ( ~ hskp20
        | ~ c0_1(a1890) )
      & ( ~ hskp20
        | c2_1(a1890) )
      & ( ~ hskp20
        | ndr1_0 )
      & ( ~ hskp19
        | ~ c3_1(a1884) )
      & ( ~ hskp19
        | ~ c1_1(a1884) )
      & ( ~ hskp19
        | ~ c0_1(a1884) )
      & ( ~ hskp19
        | ndr1_0 )
      & ( ~ hskp18
        | ~ c3_1(a1875) )
      & ( ~ hskp18
        | c1_1(a1875) )
      & ( ~ hskp18
        | c0_1(a1875) )
      & ( ~ hskp18
        | ndr1_0 )
      & ( ~ hskp17
        | ~ c1_1(a1874) )
      & ( ~ hskp17
        | c2_1(a1874) )
      & ( ~ hskp17
        | c0_1(a1874) )
      & ( ~ hskp17
        | ndr1_0 )
      & ( ~ hskp16
        | ~ c0_1(a1872) )
      & ( ~ hskp16
        | c3_1(a1872) )
      & ( ~ hskp16
        | c2_1(a1872) )
      & ( ~ hskp16
        | ndr1_0 )
      & ( ~ hskp15
        | ~ c3_1(a1870) )
      & ( ~ hskp15
        | ~ c0_1(a1870) )
      & ( ~ hskp15
        | c1_1(a1870) )
      & ( ~ hskp15
        | ndr1_0 )
      & ( ~ hskp14
        | ~ c2_1(a1868) )
      & ( ~ hskp14
        | c3_1(a1868) )
      & ( ~ hskp14
        | c0_1(a1868) )
      & ( ~ hskp14
        | ndr1_0 )
      & ( ~ hskp13
        | ~ c3_1(a1867) )
      & ( ~ hskp13
        | ~ c2_1(a1867) )
      & ( ~ hskp13
        | ~ c1_1(a1867) )
      & ( ~ hskp13
        | ndr1_0 )
      & ( ~ hskp12
        | ~ c2_1(a1866) )
      & ( ~ hskp12
        | ~ c0_1(a1866) )
      & ( ~ hskp12
        | c3_1(a1866) )
      & ( ~ hskp12
        | ndr1_0 )
      & ( ~ hskp11
        | ~ c3_1(a1865) )
      & ( ~ hskp11
        | ~ c2_1(a1865) )
      & ( ~ hskp11
        | ~ c0_1(a1865) )
      & ( ~ hskp11
        | ndr1_0 )
      & ( ~ hskp10
        | ~ c1_1(a1864) )
      & ( ~ hskp10
        | c3_1(a1864) )
      & ( ~ hskp10
        | c0_1(a1864) )
      & ( ~ hskp10
        | ndr1_0 )
      & ( ~ hskp9
        | ~ c3_1(a1863) )
      & ( ~ hskp9
        | ~ c1_1(a1863) )
      & ( ~ hskp9
        | c2_1(a1863) )
      & ( ~ hskp9
        | ndr1_0 )
      & ( ~ hskp8
        | ~ c2_1(a1862) )
      & ( ~ hskp8
        | c1_1(a1862) )
      & ( ~ hskp8
        | c0_1(a1862) )
      & ( ~ hskp8
        | ndr1_0 )
      & ( ~ hskp7
        | ~ c2_1(a1861) )
      & ( ~ hskp7
        | ~ c1_1(a1861) )
      & ( ~ hskp7
        | c0_1(a1861) )
      & ( ~ hskp7
        | ndr1_0 )
      & ( ~ hskp6
        | ~ c2_1(a1860) )
      & ( ~ hskp6
        | ~ c0_1(a1860) )
      & ( ~ hskp6
        | c1_1(a1860) )
      & ( ~ hskp6
        | ndr1_0 )
      & ( ~ hskp5
        | ~ c3_1(a1857) )
      & ( ~ hskp5
        | ~ c0_1(a1857) )
      & ( ~ hskp5
        | c2_1(a1857) )
      & ( ~ hskp5
        | ndr1_0 )
      & ( ~ hskp4
        | ~ c1_1(a1856) )
      & ( ~ hskp4
        | c3_1(a1856) )
      & ( ~ hskp4
        | c2_1(a1856) )
      & ( ~ hskp4
        | ndr1_0 )
      & ( ~ hskp3
        | ~ c2_1(a1855) )
      & ( ~ hskp3
        | ~ c1_1(a1855) )
      & ( ~ hskp3
        | ~ c0_1(a1855) )
      & ( ~ hskp3
        | ndr1_0 )
      & ( ~ hskp2
        | ~ c3_1(a1854) )
      & ( ~ hskp2
        | c2_1(a1854) )
      & ( ~ hskp2
        | c1_1(a1854) )
      & ( ~ hskp2
        | ndr1_0 )
      & ( ~ hskp1
        | ~ c0_1(a1853) )
      & ( ~ hskp1
        | c3_1(a1853) )
      & ( ~ hskp1
        | c1_1(a1853) )
      & ( ~ hskp1
        | ndr1_0 )
      & ( ~ hskp0
        | ~ c2_1(a1852) )
      & ( ~ hskp0
        | c3_1(a1852) )
      & ( ~ hskp0
        | c1_1(a1852) )
      & ( ~ hskp0
        | ndr1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ hskp28
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( hskp0
    | hskp28
    | hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ hskp10
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ ndr1_0
    | hskp13
    | hskp9
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

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

fof(c_0_10,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp9
        | c2_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_11,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp9
    | hskp13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp9
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_9])]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1867) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp9
    | hskp13
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1867) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,negated_conjecture,
    ( c1_1(a1867)
    | c2_1(a1867)
    | hskp9
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1867) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_18,plain,
    ( ~ epred13_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_19,negated_conjecture,
    ( ~ hskp13
    | hskp9
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

fof(c_0_20,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_21,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_22,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp17
        | c0_1(X1)
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_23,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_24,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred13_0 ),
    inference(split_equiv,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1866) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a1866) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1866) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_28,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp9
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_14]) ).

fof(c_0_29,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp8
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_30,plain,
    ( ~ epred55_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c1_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_31,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred26_0 ),
    inference(split_equiv,[status(thm)],[c_0_20]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred31_0 ),
    inference(split_equiv,[status(thm)],[c_0_21]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1884) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1884) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_35,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp17
    | epred12_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_22]),c_0_9])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1884) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a1899) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred40_0 ),
    inference(split_equiv,[status(thm)],[c_0_23]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ hskp22
    | c0_1(a1899) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1899) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ c1_1(a1866)
    | ~ hskp12
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1866)
    | hskp9
    | epred9_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_43,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_44,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_45,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | hskp8
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_29]),c_0_9])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ hskp25
    | c2_1(a1960) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ hskp25
    | c1_1(a1960) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1960) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred55_0 ),
    inference(split_equiv,[status(thm)],[c_0_30]) ).

fof(c_0_50,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_51,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ hskp17
    | c2_1(a1874) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1874) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ c2_1(a1884)
    | ~ hskp19
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_32]),c_0_34]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ hskp19
    | c2_1(a1884)
    | hskp17
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_35]),c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ hskp4
    | c3_1(a1856) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ hskp4
    | c2_1(a1856) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1856) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ c1_1(a1899)
    | ~ hskp22
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1899)
    | hskp9
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_12]),c_0_40]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ hskp12
    | hskp9
    | epred9_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_62,negated_conjecture,
    ( hskp12
    | hskp22
    | hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a1875) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ hskp18
    | c1_1(a1875) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1875) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1870) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_43]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1870) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_44]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a1919) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a1919) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ hskp25
    | hskp8
    | epred24_0 ),
    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_73,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ c1_1(a1866)
    | ~ hskp12
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_25]),c_0_27]) ).

fof(c_0_75,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_76,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_50]) ).

fof(c_0_77,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_78,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1870) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp17
    | epred26_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ hskp19
    | hskp17
    | epred12_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ hskp4
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_56]),c_0_57]),c_0_58]) ).

cnf(c_0_82,negated_conjecture,
    ( hskp19
    | hskp4
    | hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp9
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1863) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ hskp9
    | c2_1(a1863) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a1863) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ hskp22
    | hskp9
    | epred9_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_88,negated_conjecture,
    ( hskp9
    | hskp18
    | hskp22
    | epred9_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ hskp18
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_38]),c_0_64]),c_0_65]) ).

fof(c_0_90,plain,
    ( ~ epred45_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_91,negated_conjecture,
    ( ~ c2_1(a1870)
    | ~ hskp15
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1870)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_69]),c_0_68]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ c2_1(a1875)
    | ~ hskp18
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_67]),c_0_64]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ hskp18
    | c2_1(a1875)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_69]),c_0_64]) ).

fof(c_0_95,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_96,negated_conjecture,
    ( ~ hskp24
    | hskp9
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_28]),c_0_71]) ).

cnf(c_0_97,negated_conjecture,
    ( hskp8
    | hskp9
    | hskp24
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ hskp5
    | c2_1(a1857) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a1857) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1857) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ hskp12
    | hskp9
    | epred9_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_74,c_0_42]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_75]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1866)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_25]),c_0_27]) ).

cnf(c_0_104,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_77]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp17
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1870)
    | hskp17
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_35]),c_0_78]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ hskp19
    | epred12_0
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_108,negated_conjecture,
    ( hskp15
    | hskp19
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | hskp9 ),
    inference(cn,[status(thm)],[c_0_83]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ hskp9
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_32]),c_0_85]),c_0_86]) ).

cnf(c_0_111,negated_conjecture,
    ( hskp9
    | epred9_0
    | epred13_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_90]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp10
    | c3_1(a1864) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1864) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1864) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ hskp15
    | epred10_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_117,negated_conjecture,
    ( hskp15
    | hskp10
    | hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp18
    | epred10_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

fof(c_0_119,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_120,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp26
        | c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_121,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp19
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_122,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ ndr1_0
        | hskp15
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_123,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp7
        | c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_124,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp6
        | c0_1(X1)
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_125,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_126,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ ndr1_0
        | hskp27
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_127,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | ~ c2_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_128,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_95]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1862) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp8
    | c1_1(a1862) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1862) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_132,negated_conjecture,
    ( hskp8
    | hskp9
    | epred9_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ c1_1(a1857)
    | ~ hskp5
    | hskp8
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_98]),c_0_99]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp5
    | c1_1(a1857)
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_32]),c_0_98]) ).

cnf(c_0_135,negated_conjecture,
    ( hskp5
    | hskp6
    | hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_136,negated_conjecture,
    ( hskp9
    | hskp18
    | hskp22
    | epred9_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_101,c_0_62]) ).

fof(c_0_137,plain,
    ( ~ epred53_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_138,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_139,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp16
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_140,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp8
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1899)
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_102]),c_0_39]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp12
    | epred6_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_74,c_0_103]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ hskp13
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_104]),c_0_17]),c_0_15]) ).

cnf(c_0_144,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp9
    | hskp13
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_11,c_0_104]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | hskp17 ),
    inference(cn,[status(thm)],[c_0_105]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp15
    | hskp17
    | epred12_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_91,c_0_106]) ).

cnf(c_0_148,negated_conjecture,
    ( hskp15
    | epred12_0
    | epred26_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_109,c_0_10]),c_0_44]) ).

cnf(c_0_150,negated_conjecture,
    ( epred9_0
    | epred13_0
    | epred31_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ hskp10
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_152,negated_conjecture,
    ( hskp10
    | epred10_0
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).

fof(c_0_153,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_154,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | hskp5
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_155,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_119]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1858) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp26
    | c1_1(a1858) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp26
    | c3_1(a1858) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_159,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp26
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_120]),c_0_9])]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp19
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_121]),c_0_9])]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | hskp15
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_122]),c_0_9])]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1853) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1853) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp1
    | c1_1(a1853) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1860) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | epred10_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_69]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp6
    | c1_1(a1860) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1861) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1861) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_170,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp7
    | epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_9])]) ).

cnf(c_0_171,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_124]),c_0_9])]) ).

fof(c_0_172,plain,
    ( ~ epred49_0
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | ~ c3_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | epred33_0 ),
    inference(split_equiv,[status(thm)],[c_0_125]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp28
    | c3_1(a1878) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1878) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | hskp27
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_9])]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp27
    | c3_1(a1877) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1877) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1877) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred51_0 ),
    inference(split_equiv,[status(thm)],[c_0_127]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp8
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_131]) ).

cnf(c_0_182,negated_conjecture,
    ( hskp8
    | epred9_0
    | epred24_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_110,c_0_132]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp5
    | hskp8
    | epred24_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_184,negated_conjecture,
    ( hskp5
    | hskp6
    | hskp8
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_135]) ).

cnf(c_0_185,negated_conjecture,
    ( hskp9
    | epred9_0
    | epred40_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_136]),c_0_89]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | epred53_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_137]),c_0_9])]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred15_0 ),
    inference(split_equiv,[status(thm)],[c_0_138]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1861) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp16
    | c3_1(a1872) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp16
    | c2_1(a1872) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1872) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | hskp16
    | epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_9])]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1885) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1885) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1885) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp15
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp8 ),
    inference(cn,[status(thm)],[c_0_140]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp22
    | epred19_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_141]) ).

cnf(c_0_199,negated_conjecture,
    ( hskp18
    | hskp22
    | epred6_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_142,c_0_62]) ).

fof(c_0_200,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp3
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_201,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp9
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

fof(c_0_202,plain,
    ( ~ epred52_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c3_1(X1)
        | ~ ndr1_0
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_203,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X3)
    | c3_1(X3)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_145]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ epred12_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_146,c_0_22]),c_0_18]) ).

cnf(c_0_205,negated_conjecture,
    ( epred12_0
    | epred26_0
    | epred29_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_147]),c_0_148]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ epred10_0
    | epred13_0
    | epred31_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_207,negated_conjecture,
    ( epred10_0
    | epred29_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_153]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp5
    | epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_154]),c_0_9])]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ c2_1(a1858)
    | ~ hskp26
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp26
    | c2_1(a1858)
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_158]),c_0_157]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp19
    | hskp26
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_159]),c_0_34]),c_0_36]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp15
    | hskp19
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_68]),c_0_66]),c_0_78]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c2_1(a1853)
    | ~ hskp1
    | hskp15
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1853)
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_162]),c_0_164]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp6
    | epred10_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).

cnf(c_0_217,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp7
    | hskp9
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_28]),c_0_169]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp19
    | hskp7
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_170]),c_0_34]),c_0_36]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp19
    | hskp6
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_171]),c_0_34]),c_0_36]) ).

fof(c_0_221,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | hskp21
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_222,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred49_0 ),
    inference(split_equiv,[status(thm)],[c_0_172]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1852) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1852) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1852) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ c0_1(a1878)
    | ~ hskp28
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1878)
    | hskp27
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_174]),c_0_175]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ hskp27
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_177]),c_0_178]),c_0_179]) ).

fof(c_0_229,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp8
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_230,plain,
    ( ~ epred42_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp16
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_231,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c0_1(X1)
        | hskp1
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_232,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | epred33_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_180]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp17
    | c0_1(a1874) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_235,negated_conjecture,
    ( epred9_0
    | epred17_0
    | epred24_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_236,negated_conjecture,
    ( hskp6
    | hskp8
    | epred24_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp8
    | epred10_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_166]),c_0_130]) ).

cnf(c_0_238,negated_conjecture,
    ( epred9_0
    | epred31_0
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_110,c_0_185]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | epred53_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_186]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp7
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_169]),c_0_168]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp16
    | hskp27
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_189]),c_0_190]),c_0_191]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp1
    | hskp16
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_162]),c_0_164]),c_0_163]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp29
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_193]),c_0_194]),c_0_195]) ).

cnf(c_0_244,negated_conjecture,
    ( hskp1
    | hskp27
    | hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | hskp15 ),
    inference(cn,[status(thm)],[c_0_196]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ epred6_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_197,c_0_29]),c_0_50]) ).

cnf(c_0_247,negated_conjecture,
    ( epred6_0
    | epred19_0
    | epred40_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_89]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp3
    | epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_200]),c_0_9])]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a1860) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp12
    | c1_1(a1866)
    | hskp9
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_201]) ).

fof(c_0_251,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp24
    | c3_1(a1919) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ epred10_0
    | ~ epred26_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_203,c_0_202]),c_0_44]),c_0_20]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ epred13_0
    | epred26_0
    | epred29_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_255,negated_conjecture,
    ( epred13_0
    | epred29_0
    | epred31_0
    | epred40_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp5
    | c1_1(a1857)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_208]),c_0_98]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ c2_1(a1853)
    | ~ hskp1
    | hskp27
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_162]),c_0_163]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1853)
    | hskp5
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_162]),c_0_164]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp26
    | epred21_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp15
    | hskp26
    | epred1_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp1
    | hskp15
    | epred27_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_262,negated_conjecture,
    ( hskp1
    | hskp18
    | epred10_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp19
    | hskp9
    | epred9_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp19
    | epred10_0
    | epred20_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_216,c_0_220]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp0
    | hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp21
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_221]),c_0_9])]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1852)
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1852)
    | hskp16
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_223]),c_0_225]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp28
    | epred30_0
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp24
    | hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp28
    | c1_1(a1878) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_272,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp10
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_273,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp8
    | epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_229]),c_0_9])]) ).

fof(c_0_274,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp27
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_275,negated_conjecture,
    ( ~ ndr1_0
    | hskp28
    | hskp27
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ ndr1_0
    | hskp9
    | hskp1
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ ndr1_0
    | hskp23
    | hskp8
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp16
    | epred42_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_230]),c_0_9])]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | hskp27
    | hskp26
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp18
    | hskp8
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp10
    | hskp26
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp22
    | hskp27
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_283,plain,
    ( ~ epred56_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_284,plain,
    ( ~ epred54_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_285,plain,
    ( ~ epred50_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_286,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c0_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_287,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp1
    | c0_1(X1)
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_231]),c_0_9])]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp17
    | epred33_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_52]) ).

cnf(c_0_289,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp21
    | c3_1(a1898) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1898) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1898) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_293,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | hskp24
        | c2_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_294,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X3) ),
    inference(cn,[status(thm)],[c_0_234]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ epred10_0
    | epred17_0
    | epred24_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_235]) ).

cnf(c_0_296,negated_conjecture,
    ( epred10_0
    | epred24_0
    | epred31_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_236]),c_0_237]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ epred10_0
    | epred31_0
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_238]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ hskp6
    | epred53_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_239]),c_0_167]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ hskp8
    | epred53_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_239]),c_0_130]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp19
    | epred15_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_240,c_0_219]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp5
    | c1_1(a1857)
    | hskp6
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_171]),c_0_99]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp1
    | hskp27
    | epred30_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_303,negated_conjecture,
    ( hskp1
    | hskp27
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ c0_1(a1856)
    | ~ hskp4
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_56]),c_0_57]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1856)
    | hskp27
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_56]),c_0_57]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ epred19_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_245,c_0_122]),c_0_75]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ epred24_0
    | epred19_0
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1855) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a1855) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1855) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ hskp6
    | hskp3
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_167]),c_0_165]),c_0_249]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ hskp22
    | c1_1(a1899)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_104]),c_0_40]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ hskp12
    | hskp9
    | epred2_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_74,c_0_250]) ).

fof(c_0_314,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_315,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_251]) ).

fof(c_0_316,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_317,negated_conjecture,
    ( ~ c2_1(a1864)
    | ~ hskp10
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_113]),c_0_114]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ hskp10
    | c2_1(a1864)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_113]),c_0_115]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp24
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_252]),c_0_71]),c_0_70]) ).

cnf(c_0_320,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_321,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c0_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_322,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_323,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c2_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp16
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp10
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp27
    | c3_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp24
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp21
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp16
    | c2_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp8
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp27
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp19
    | c3_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_336,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp7
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_337,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp6
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp5
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp3
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp27
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp1
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_342,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp0
    | c1_1(X2)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ ndr1_0
    | ~ ndr1_0
    | hskp26
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ epred26_0
    | ~ epred52_0
    | epred29_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_253,c_0_207]) ).

cnf(c_0_345,negated_conjecture,
    ( epred26_0
    | epred29_0
    | epred31_0
    | epred40_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_346,negated_conjecture,
    ( ~ hskp5
    | hskp8
    | epred4_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_133,c_0_256]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ hskp1
    | hskp5
    | hskp27
    | epred18_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ hskp15
    | epred1_0
    | epred21_0
    | epred28_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_349,negated_conjecture,
    ( hskp15
    | hskp18
    | epred10_0
    | epred27_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp15
    | hskp9
    | epred9_0
    | epred22_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_263,c_0_213]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp15
    | epred10_0
    | epred20_0
    | epred28_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_213]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | hskp28 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_9])]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1874)
    | hskp21
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_233]),c_0_53]) ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp0
    | hskp16
    | epred34_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_355,negated_conjecture,
    ( hskp0
    | hskp10
    | epred30_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_269,c_0_5]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | hskp0
    | hskp24 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_9])]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1878)
    | hskp16
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_174]),c_0_271]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | hskp10
    | epred41_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_272]),c_0_9])]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1852)
    | hskp8
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_225]),c_0_224]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1853)
    | hskp8
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_164]),c_0_163]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1870)
    | hskp8
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_68]),c_0_78]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp27
    | epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_274]),c_0_9])]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1870)
    | hskp3
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_68]),c_0_78]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_38]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | epred31_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_32]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | epred19_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_102]) ).

cnf(c_0_367,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp27
    | hskp28 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_9])]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | hskp1
    | c0_1(X1)
    | hskp9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_9])]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp8
    | hskp23 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_9])]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | hskp16
    | epred42_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_278,c_0_186]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp26
    | hskp27 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_9])]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | hskp8
    | hskp18 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_9])]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | hskp10
    | hskp26 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_9])]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | hskp22
    | hskp27 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_9])]) ).

cnf(c_0_375,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | epred56_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_283]),c_0_9])]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred54_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_284]),c_0_9])]) ).

cnf(c_0_377,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred52_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_202]),c_0_9])]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_285]),c_0_9])]) ).

cnf(c_0_379,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred46_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_286]),c_0_9])]) ).

cnf(c_0_380,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp1
    | epred5_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_187,c_0_287]) ).

cnf(c_0_381,negated_conjecture,
    ( hskp8
    | hskp16
    | epred33_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ c2_1(a1898)
    | ~ hskp21
    | hskp27
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_290]),c_0_291]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1898)
    | hskp1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_287]),c_0_292]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp24
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_293]),c_0_9])]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ epred17_0
    | ~ epred40_0
    | ~ epred53_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_294,c_0_137]),c_0_95]),c_0_23]) ).

cnf(c_0_386,negated_conjecture,
    ( epred17_0
    | epred24_0
    | epred31_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_387,negated_conjecture,
    ( epred24_0
    | epred31_0
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_297,c_0_296]) ).

cnf(c_0_388,negated_conjecture,
    ( epred24_0
    | epred31_0
    | epred53_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_236]),c_0_299]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ hskp15
    | epred15_0
    | epred22_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_300,c_0_213]) ).

cnf(c_0_390,negated_conjecture,
    ( hskp6
    | hskp8
    | epred20_0
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_301]),c_0_184]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp23
    | c0_1(a1911) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a1911) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a1911) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_394,negated_conjecture,
    ( hskp27
    | epred21_0
    | epred30_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_302,c_0_303]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp6
    | hskp8
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_167]),c_0_165]),c_0_249]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ hskp4
    | epred30_0
    | epred33_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_228]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ epred24_0
    | ~ epred27_0
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ hskp28
    | c0_1(a1878)
    | hskp8
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_175]),c_0_271]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp3
    | hskp1
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_287]),c_0_309]),c_0_310]) ).

cnf(c_0_400,negated_conjecture,
    ( hskp1
    | hskp3
    | hskp18
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_217]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ hskp22
    | epred2_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_312]) ).

cnf(c_0_402,negated_conjecture,
    ( hskp9
    | hskp18
    | hskp22
    | epred2_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_62]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ c2_1(a1898)
    | ~ hskp21
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_290]),c_0_292]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred47_0 ),
    inference(split_equiv,[status(thm)],[c_0_314]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ c1_1(a1877)
    | ~ hskp27
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_177]),c_0_178]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1877)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_177]),c_0_179]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | epred37_0 ),
    inference(split_equiv,[status(thm)],[c_0_316]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp10
    | epred6_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_409,negated_conjecture,
    ( hskp8
    | hskp10
    | epred6_0 ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ c2_1(a1864)
    | ~ hskp10
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_113]),c_0_115]) ).

cnf(c_0_411,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_321]),c_0_9])]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ c2_1(a1875)
    | ~ hskp18
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_65]),c_0_64]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp18
    | c2_1(a1875)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_65]),c_0_64]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_322]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X3)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_323]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_324]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_325]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_326]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp16 ),
    inference(cn,[status(thm)],[c_0_327]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp10 ),
    inference(cn,[status(thm)],[c_0_328]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X2)
    | hskp27 ),
    inference(cn,[status(thm)],[c_0_329]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp24 ),
    inference(cn,[status(thm)],[c_0_330]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp21 ),
    inference(cn,[status(thm)],[c_0_331]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X2)
    | hskp16 ),
    inference(cn,[status(thm)],[c_0_332]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(cn,[status(thm)],[c_0_333]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | hskp27 ),
    inference(cn,[status(thm)],[c_0_334]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | hskp19 ),
    inference(cn,[status(thm)],[c_0_335]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp7 ),
    inference(cn,[status(thm)],[c_0_336]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[c_0_337]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(cn,[status(thm)],[c_0_338]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp3 ),
    inference(cn,[status(thm)],[c_0_339]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X2)
    | hskp27 ),
    inference(cn,[status(thm)],[c_0_340]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp1 ),
    inference(cn,[status(thm)],[c_0_341]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp0 ),
    inference(cn,[status(thm)],[c_0_342]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ ndr1_0
    | c0_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp26 ),
    inference(cn,[status(thm)],[c_0_343]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ epred52_0
    | epred31_0
    | epred40_0
    | epred29_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp1
    | hskp27
    | epred18_0
    | epred30_0
    | hskp8
    | epred4_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_438,negated_conjecture,
    ( hskp18
    | epred10_0
    | epred27_0
    | epred1_0
    | epred21_0
    | epred28_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_439,negated_conjecture,
    ( hskp10
    | hskp18
    | hskp9
    | epred9_0
    | epred22_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_117]) ).

cnf(c_0_440,negated_conjecture,
    ( hskp18
    | epred27_0
    | epred10_0
    | epred20_0
    | epred28_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_349]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1874)
    | ~ c0_1(a1874)
    | hskp21
    | epred38_0
    | hskp0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1874)
    | ~ c0_1(a1874)
    | hskp21
    | epred38_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_173,c_0_353]) ).

cnf(c_0_443,negated_conjecture,
    ( hskp18
    | epred27_0
    | epred55_0
    | epred10_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_349]) ).

cnf(c_0_444,negated_conjecture,
    ( hskp10
    | epred30_0
    | epred33_0
    | hskp16
    | epred34_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a1878)
    | ~ c2_1(a1878)
    | hskp16
    | epred34_0
    | hskp0
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_356,c_0_357]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1852)
    | hskp8
    | epred32_0
    | c2_1(a1852)
    | hskp10
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1853)
    | epred32_0
    | c0_1(a1853)
    | hskp8
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_360]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1870)
    | epred32_0
    | c0_1(a1870)
    | hskp8
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_361]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a1878)
    | ~ c2_1(a1878)
    | hskp27
    | epred30_0
    | hskp0
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_356,c_0_227]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp15
    | hskp3
    | epred16_0
    | c3_1(a1870)
    | c0_1(a1870)
    | hskp27
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1862)
    | c2_1(a1862)
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_364,c_0_129]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1874)
    | c1_1(a1874)
    | epred31_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_365,c_0_233]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1874)
    | c1_1(a1874)
    | epred19_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_366,c_0_233]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp15
    | epred10_0
    | c3_1(a1870)
    | c0_1(a1870)
    | hskp27
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_92]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | hskp27
    | hskp28
    | c0_1(X1)
    | hskp16
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_192,c_0_367]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1870)
    | c0_1(a1870)
    | hskp27
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_66,c_0_367]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ hskp19
    | c2_1(a1884)
    | c0_1(a1884)
    | hskp27
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_33,c_0_367]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp6
    | c2_1(a1860)
    | hskp1
    | c0_1(a1860)
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_368,c_0_167]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ hskp9
    | c1_1(a1863)
    | c3_1(a1863)
    | hskp8
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_369,c_0_85]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ hskp8
    | c2_1(a1862)
    | hskp16
    | epred42_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_370,c_0_130]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ hskp10
    | c1_1(a1864)
    | c2_1(a1864)
    | hskp26
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_371,c_0_114]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1864)
    | c1_1(a1864)
    | hskp8
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_372,c_0_114]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1874)
    | c1_1(a1874)
    | hskp8
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_372,c_0_233]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1862)
    | c2_1(a1862)
    | hskp10
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_373,c_0_129]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1852)
    | c2_1(a1852)
    | hskp22
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_374,c_0_223]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a1864)
    | c2_1(a1864)
    | hskp22
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_374,c_0_113]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a1875)
    | ~ c2_1(a1875)
    | hskp0
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_356,c_0_65]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1864)
    | ~ c0_1(a1864)
    | hskp0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_352,c_0_113]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a1877)
    | ~ c0_1(a1877)
    | hskp0
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_352,c_0_177]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ c0_1(a1899)
    | ~ hskp22
    | c2_1(a1899)
    | epred56_0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_375]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ c2_1(a1863)
    | ~ hskp9
    | c1_1(a1863)
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_84,c_0_376]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ c1_1(a1875)
    | ~ hskp18
    | c2_1(a1875)
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_186]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1872)
    | c0_1(a1872)
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_377,c_0_189]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1853)
    | c0_1(a1853)
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_378,c_0_162]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1855)
    | c2_1(a1855)
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_379]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ hskp24
    | c1_1(a1919)
    | hskp1
    | epred5_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_380]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1862)
    | c2_1(a1862)
    | hskp10
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_129]) ).

cnf(c_0_478,negated_conjecture,
    ( hskp8
    | epred30_0
    | epred33_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_381]),c_0_228]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ hskp21
    | hskp1
    | hskp27
    | epred5_0
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ hskp18
    | c2_1(a1875)
    | hskp24
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_65]),c_0_63]) ).

cnf(c_0_481,negated_conjecture,
    ( epred24_0
    | epred31_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]),c_0_388]) ).

cnf(c_0_482,negated_conjecture,
    ( hskp10
    | hskp18
    | epred15_0
    | epred22_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_389,c_0_117]) ).

cnf(c_0_483,negated_conjecture,
    ( hskp3
    | hskp8
    | epred16_0
    | epred20_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_390]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ hskp23
    | hskp21
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_391]),c_0_392]),c_0_393]) ).

cnf(c_0_485,negated_conjecture,
    ( epred21_0
    | epred30_0
    | epred33_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_394]) ).

cnf(c_0_486,negated_conjecture,
    ( hskp8
    | epred20_0
    | epred24_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_390]) ).

cnf(c_0_487,negated_conjecture,
    ( hskp15
    | hskp19
    | epred30_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_396,c_0_82]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ epred27_0
    | epred31_0
    | epred40_0
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_397,c_0_387]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ hskp28
    | hskp8
    | epred24_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_226,c_0_398]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp19
    | hskp3
    | epred16_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_220]) ).

cnf(c_0_491,negated_conjecture,
    ( hskp1
    | hskp18
    | epred5_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_492,negated_conjecture,
    ( hskp9
    | epred2_0
    | epred40_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_89]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_223]),c_0_225]),c_0_224]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp21
    | hskp1
    | epred5_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_403,c_0_383]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ c2_1(a1870)
    | ~ hskp15
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_404]),c_0_68]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp27
    | epred23_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ hskp26
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_158]),c_0_157]),c_0_156]) ).

cnf(c_0_498,negated_conjecture,
    ( hskp8
    | epred6_0
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp10
    | epred6_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_410,c_0_318]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp21
    | hskp0
    | c2_1(a1898)
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_411]),c_0_292]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ hskp28
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_174]),c_0_271]),c_0_175]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp18
    | epred17_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_412,c_0_413]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp10
    | c2_1(a1864)
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_114]),c_0_115]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ epred37_0
    | ~ epred55_0
    | ~ epred56_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_414,c_0_283]),c_0_30]),c_0_316]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ epred45_0
    | ~ epred52_0
    | ~ epred55_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_415,c_0_202]),c_0_30]),c_0_90]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ epred21_0
    | ~ epred26_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_416,c_0_284]),c_0_20]),c_0_119]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ epred31_0
    | ~ epred50_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_417,c_0_285]),c_0_21]),c_0_127]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ epred46_0
    | ~ epred47_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_418,c_0_286]),c_0_314]),c_0_172]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ epred33_0
    | ~ epred42_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_419,c_0_230]),c_0_125]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ epred23_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_420,c_0_272]),c_0_251]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ epred30_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_421,c_0_126]),c_0_23]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ epred33_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_422,c_0_293]),c_0_125]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ epred21_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_423,c_0_221]),c_0_119]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ epred17_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_424,c_0_139]),c_0_95]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ epred32_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_425,c_0_229]),c_0_125]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ epred30_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_426,c_0_126]),c_0_21]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ epred28_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_427,c_0_121]),c_0_43]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ epred22_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_428,c_0_123]),c_0_251]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ epred20_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_429,c_0_124]),c_0_119]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ epred18_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_430,c_0_154]),c_0_75]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ epred16_0
    | ~ epred17_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_431,c_0_200]),c_0_95]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ epred14_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_432,c_0_274]),c_0_138]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_433,c_0_231]),c_0_50]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_434,c_0_321]),c_0_153]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_435,c_0_120]),c_0_77]) ).

cnf(c_0_526,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_436,c_0_437,c_0_438,c_0_439,c_0_440,c_0_441,c_0_442,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_457,c_0_458,c_0_459,c_0_460,c_0_461,c_0_462,c_0_463,c_0_464,c_0_465,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_242,c_0_486,c_0_395,c_0_487,c_0_241,c_0_382,c_0_269,c_0_488,c_0_213,c_0_390,c_0_297,c_0_489,c_0_490,c_0_491,c_0_311,c_0_492,c_0_493,c_0_399,c_0_494,c_0_495,c_0_151,c_0_496,c_0_89,c_0_497,c_0_498,c_0_317,c_0_228,c_0_110,c_0_54,c_0_91,c_0_499,c_0_500,c_0_501,c_0_502,c_0_412,c_0_181,c_0_503,c_0_318,c_0_409,c_0_319,c_0_299,c_0_278,c_0_504,c_0_505,c_0_506,c_0_385,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_517,c_0_246,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_149,c_0_523,c_0_524,c_0_525,c_0_71,c_0_40,c_0_36,c_0_53,c_0_191,c_0_78,c_0_66,c_0_115,c_0_84,c_0_86,c_0_131,c_0_249,c_0_165,c_0_310,c_0_309,c_0_163,c_0_224,c_0_179,c_0_39,c_0_233,c_0_114,c_0_175,c_0_178,c_0_52,c_0_190,c_0_85,c_0_223,c_0_271,c_0_64,c_0_68,c_0_130,c_0_164,c_0_225,c_0_117,c_0_289,c_0_217,c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN483+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.49  % Computer : n003.cluster.edu
% 0.19/0.49  % Model    : x86_64 x86_64
% 0.19/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.49  % Memory   : 8046.5625MB
% 0.19/0.49  % OS       : Linux 6.8.0-71-generic
% 0.19/0.49  % CPULimit : 300
% 0.19/0.49  % WCLimit  : 300
% 0.19/0.49  % DateTime : Mon Sep 21 11:03:01 UTC 2026
% 0.19/0.50  % CPUTime  : 
% 0.19/0.50  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.57  Running first-order theorem proving
% 0.24/0.57  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.93/3.75  % Version: 3.5.1
% 20.93/3.75  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.93/3.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.93/3.75  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.93/3.75  % Starting new_bool_3 with 300s (1) cores
% 20.93/3.75  % Starting new_bool_1 with 300s (1) cores
% 20.93/3.75  % Starting sh5l with 300s (1) cores
% 20.93/3.75  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4127625 completed with status 0
% 20.93/3.75  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.93/3.75  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.93/3.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.93/3.75  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.93/3.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.93/3.75  % No SInE strategy applied
% 20.93/3.75  % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.93/3.75  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.93/3.75  % Starting SubtermCWHack with 151s (1) cores
% 20.93/3.75  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.93/3.75  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 20.93/3.75  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 20.93/3.75  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 20.93/3.75  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4127632 completed with status 0
% 20.93/3.75  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.93/3.75  % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.93/3.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.93/3.75  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.93/3.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.93/3.75  % No SInE strategy applied
% 20.93/3.75  % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.93/3.75  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.93/3.75  % Starting SubtermCWHack with 151s (1) cores
% 20.93/3.75  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.93/3.75  % Preprocessing time       : 0.004 s
% 20.93/3.75  % SatCheck found unsatisfiable ground set
% 20.93/3.75  
% 20.93/3.75  % Proof found!
% 20.93/3.75  % SZS status Theorem
% 20.93/3.75  % SZS output start CNFRefutation
% See solution above
% 20.93/3.76  % Parsed axioms                        : 1
% 20.93/3.76  % Removed by relevancy pruning/SinE    : 0
% 20.93/3.76  % Initial clauses                      : 196
% 20.93/3.76  % Removed in clause preprocessing      : 0
% 20.93/3.76  % Initial clauses in saturation        : 196
% 20.93/3.76  % Processed clauses                    : 7039
% 20.93/3.76  % ...of these trivial                  : 0
% 20.93/3.76  % ...subsumed                          : 2039
% 20.93/3.76  % ...remaining for further processing  : 5000
% 20.93/3.76  % Other redundant clauses eliminated   : 0
% 20.93/3.76  % Clauses deleted for lack of memory   : 0
% 20.93/3.76  % Backward-subsumed                    : 1426
% 20.93/3.76  % Backward-rewritten                   : 60
% 20.93/3.76  % Generated clauses                    : 63035
% 20.93/3.76  % ...of the previous two non-redundant : 59199
% 20.93/3.76  % ...aggressively subsumed             : 0
% 20.93/3.76  % Contextual simplify-reflections      : 514
% 20.93/3.76  % Paramodulations                      : 62943
% 20.93/3.76  % Factorizations                       : 0
% 20.93/3.76  % NegExts                              : 0
% 20.93/3.76  % Equation resolutions                 : 0
% 20.93/3.76  % Disequality decompositions           : 0
% 20.93/3.76  % Total rewrite steps                  : 93
% 20.93/3.76  % ...of those cached                   : 92
% 20.93/3.76  % Propositional unsat checks           : 1
% 20.93/3.76  %    Propositional check models        : 0
% 20.93/3.76  %    Propositional check unsatisfiable : 1
% 20.93/3.76  %    Propositional clauses             : 55062
% 20.93/3.76  %    Propositional clauses after purity: 54696
% 20.93/3.76  %    Propositional unsat core size     : 154
% 20.93/3.76  %    Propositional preprocessing time  : 0.000
% 20.93/3.76  %    Propositional encoding time       : 0.039
% 20.93/3.76  %    Propositional solver time         : 0.123
% 20.93/3.76  %    Success case prop preproc time    : 0.000
% 20.93/3.76  %    Success case prop encoding time   : 0.039
% 20.93/3.76  %    Success case prop solver time     : 0.123
% 20.93/3.76  % Current number of processed clauses  : 3478
% 20.93/3.76  %    Positive orientable unit clauses  : 1
% 20.93/3.76  %    Positive unorientable unit clauses: 0
% 20.93/3.76  %    Negative unit clauses             : 0
% 20.93/3.76  %    Non-unit-clauses                  : 3477
% 20.93/3.76  % Current number of unprocessed clauses: 51584
% 20.93/3.76  % ...number of literals in the above   : 353350
% 20.93/3.76  % Current number of archived formulas  : 0
% 20.93/3.76  % Current number of archived clauses   : 1486
% 20.93/3.76  % Clause-clause subsumption calls (NU) : 5097591
% 20.93/3.76  % Rec. Clause-clause subsumption calls : 254815
% 20.93/3.76  % Non-unit clause-clause subsumptions  : 4029
% 20.93/3.76  % Unit Clause-clause subsumption calls : 4
% 20.93/3.76  % Rewrite failures with RHS unbound    : 0
% 20.93/3.76  % BW rewrite match attempts            : 1
% 20.93/3.76  % BW rewrite match successes           : 1
% 20.93/3.76  % Condensation attempts                : 7039
% 20.93/3.76  % Condensation successes               : 0
% 20.93/3.76  % Termbank termtop insertions          : 615426
% 20.93/3.76  % Search garbage collected termcells   : 2067
% 20.93/3.76  
% 20.93/3.76  % -------------------------------------------------
% 20.93/3.76  % User time                : 2.962 s
% 20.93/3.76  % System time              : 0.096 s
% 20.93/3.76  % Total time               : 3.058 s
% 20.93/3.76  % Maximum resident set size: 4692 pages
% 20.93/3.76  
% 20.93/3.76  % -------------------------------------------------
% 20.93/3.76  % User time                : 14.879 s
% 20.93/3.76  % System time              : 0.395 s
% 20.93/3.76  % Total time               : 15.274 s
% 20.93/3.76  % Maximum resident set size: 5120 pages
% 20.93/3.76  % E exiting
%------------------------------------------------------------------------------