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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN457+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/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 03:24:32 PM UTC 2026

% Result   : Theorem 21.76s 3.76s
% Output   : CNFRefutation 21.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  638 (   2 unt;   0 def)
%            Number of atoms       : 5985 (   0 equ)
%            Maximal formula atoms : 1055 (   9 avg)
%            Number of connectives : 8109 (2762   ~;3589   |;1452   &)
%                                         (  39 <=>; 267  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  462 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  121 ( 120 usr; 117 prp; 0-1 aty)
%            Number of functors    :   76 (  76 usr;  76 con; 0-0 aty)
%            Number of variables   :  583 (   0 sgn 395   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( hskp30
        | hskp41
        | ! [X89] :
            ( ndr1_0
           => ( c0_1(X89)
              | ~ c1_1(X89)
              | c2_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) )
        | hskp40
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c2_1(X87)
              | c1_1(X87) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c1_1(X86)
              | ~ c3_1(X86) ) )
        | hskp75
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | c3_1(X85)
              | ~ c2_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | c2_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c2_1(X83) ) )
        | hskp61 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c1_1(X82)
              | ~ c0_1(X82) ) )
        | hskp29
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c1_1(X81)
              | c0_1(X81) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c3_1(X79)
              | c0_1(X79) ) )
        | hskp39 )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | hskp57
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c1_1(X77)
              | ~ c2_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c0_1(X73) ) )
        | hskp47
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c0_1(X72)
              | ~ c1_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | ~ c2_1(X71)
              | ~ c3_1(X71) ) )
        | hskp38
        | hskp74 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c3_1(X69)
              | ~ c1_1(X69) ) )
        | hskp73 )
      & ( hskp72
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c0_1(X68)
              | c3_1(X68) ) )
        | hskp37 )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c1_1(X65)
              | c2_1(X65) ) ) )
      & ( hskp71
        | hskp36
        | ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | c2_1(X64) ) ) )
      & ( hskp0
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | ~ c1_1(X62)
              | ~ c2_1(X62) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c0_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c0_1(X60)
              | c1_1(X60) ) )
        | hskp70 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c0_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | ~ c1_1(X58) ) )
        | hskp69 )
      & ( hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c0_1(X57)
              | ~ c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) )
        | hskp68
        | hskp35 )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c0_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | ~ c3_1(X53)
              | ~ c1_1(X53) ) )
        | hskp34 )
      & ( hskp33
        | hskp61
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) ) )
      & ( hskp67
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c0_1(X51)
              | ~ c3_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c3_1(X50)
              | c1_1(X50) ) ) )
      & ( hskp32
        | hskp31
        | hskp63 )
      & ( hskp30
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | ~ c3_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c1_1(X48)
              | ~ c0_1(X48) ) ) )
      & ( hskp53
        | hskp52
        | hskp29 )
      & ( hskp28
        | hskp27
        | hskp66 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c3_1(X47)
              | ~ c2_1(X47) ) )
        | hskp26
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | ~ c3_1(X46)
              | ~ c2_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | c0_1(X44)
              | c1_1(X44) ) )
        | hskp25 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c1_1(X43)
              | ~ c3_1(X43) ) )
        | hskp24
        | hskp61 )
      & ( hskp65
        | hskp64
        | hskp23 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | c3_1(X42) ) )
        | hskp22
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c0_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | hskp21
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | c0_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( hskp20
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c1_1(X38)
              | ~ c0_1(X38) ) )
        | hskp19 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c2_1(X37)
              | c1_1(X37) ) )
        | hskp18
        | hskp60 )
      & ( hskp17
        | hskp16
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c1_1(X36)
              | ~ c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c1_1(X34) ) )
        | hskp63 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c3_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | ~ c3_1(X32)
              | ~ c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | ~ c2_1(X31)
              | ~ c1_1(X31) ) ) )
      & ( hskp62
        | hskp61
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c3_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | ~ c2_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) )
        | hskp60 )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c0_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) ) )
      & ( hskp15
        | hskp14
        | hskp10 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c0_1(X24)
              | c1_1(X24) ) )
        | hskp59
        | hskp58 )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c3_1(X23)
              | ~ c2_1(X23) ) )
        | hskp13
        | hskp12 )
      & ( hskp57
        | hskp11
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c2_1(X22)
              | ~ c0_1(X22) ) ) )
      & ( hskp10
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c3_1(X21)
              | c2_1(X21) ) )
        | hskp56 )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | ~ c3_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c0_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c1_1(X18)
              | ~ c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | ~ c2_1(X17)
              | ~ c0_1(X17) ) )
        | hskp55
        | hskp9 )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | hskp2 )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c3_1(X14)
              | ~ c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c3_1(X12)
              | c2_1(X12) ) ) )
      & ( hskp54
        | hskp8
        | hskp53 )
      & ( hskp7
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c0_1(X11)
              | ~ c2_1(X11) ) )
        | hskp52 )
      & ( hskp51
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c0_1(X10)
              | ~ c1_1(X10) ) )
        | hskp50 )
      & ( hskp49
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c0_1(X8)
              | c2_1(X8) ) ) )
      & ( hskp6
        | hskp48
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | ~ c3_1(X7)
              | ~ c0_1(X7) ) ) )
      & ( hskp5
        | hskp4
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) ) )
      & ( hskp3
        | hskp2
        | hskp47 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c0_1(X5)
              | c1_1(X5) ) )
        | hskp1
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c0_1(X4)
              | c2_1(X4) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c0_1(X3)
              | ~ c2_1(X3) ) )
        | hskp46
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | ~ c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp45
        | hskp44
        | hskp43 )
      & ( hskp42
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | ~ c0_1(X1)
              | ~ c2_1(X1) ) )
        | hskp0 )
      & ( ( c3_1(a1724)
          & ~ c2_1(a1724)
          & c0_1(a1724)
          & ndr1_0 )
        | ~ hskp75 )
      & ( ( c2_1(a1717)
          & c0_1(a1717)
          & ~ c3_1(a1717)
          & ndr1_0 )
        | ~ hskp74 )
      & ( ( c0_1(a1716)
          & ~ c3_1(a1716)
          & c2_1(a1716)
          & ndr1_0 )
        | ~ hskp73 )
      & ( ( c3_1(a1715)
          & c1_1(a1715)
          & ~ c2_1(a1715)
          & ndr1_0 )
        | ~ hskp72 )
      & ( ( c0_1(a1713)
          & c3_1(a1713)
          & ~ c2_1(a1713)
          & ndr1_0 )
        | ~ hskp71 )
      & ( ( c1_1(a1710)
          & ~ c3_1(a1710)
          & ~ c0_1(a1710)
          & ndr1_0 )
        | ~ hskp70 )
      & ( ( c3_1(a1709)
          & c0_1(a1709)
          & ~ c1_1(a1709)
          & ndr1_0 )
        | ~ hskp69 )
      & ( ( c0_1(a1707)
          & c3_1(a1707)
          & ~ c1_1(a1707)
          & ndr1_0 )
        | ~ hskp68 )
      & ( ( c3_1(a1702)
          & c2_1(a1702)
          & c1_1(a1702)
          & ndr1_0 )
        | ~ hskp67 )
      & ( ( c0_1(a1692)
          & ~ c2_1(a1692)
          & ~ c1_1(a1692)
          & ndr1_0 )
        | ~ hskp66 )
      & ( ( c2_1(a1687)
          & ~ c0_1(a1687)
          & ~ c3_1(a1687)
          & ndr1_0 )
        | ~ hskp65 )
      & ( ( c0_1(a1686)
          & ~ c1_1(a1686)
          & ~ c3_1(a1686)
          & ndr1_0 )
        | ~ hskp64 )
      & ( ( c3_1(a1676)
          & c2_1(a1676)
          & ~ c0_1(a1676)
          & ndr1_0 )
        | ~ hskp63 )
      & ( ( c0_1(a1675)
          & c1_1(a1675)
          & ~ c3_1(a1675)
          & ndr1_0 )
        | ~ hskp62 )
      & ( ( c3_1(a1674)
          & ~ c2_1(a1674)
          & ~ c1_1(a1674)
          & ndr1_0 )
        | ~ hskp61 )
      & ( ( c2_1(a1673)
          & c3_1(a1673)
          & ~ c1_1(a1673)
          & ndr1_0 )
        | ~ hskp60 )
      & ( ( c0_1(a1669)
          & ~ c2_1(a1669)
          & c3_1(a1669)
          & ndr1_0 )
        | ~ hskp59 )
      & ( ( c3_1(a1668)
          & ~ c1_1(a1668)
          & ~ c0_1(a1668)
          & ndr1_0 )
        | ~ hskp58 )
      & ( ( c3_1(a1665)
          & ~ c1_1(a1665)
          & c0_1(a1665)
          & ndr1_0 )
        | ~ hskp57 )
      & ( ( c1_1(a1662)
          & ~ c2_1(a1662)
          & c0_1(a1662)
          & ndr1_0 )
        | ~ hskp56 )
      & ( ( c1_1(a1661)
          & ~ c3_1(a1661)
          & ~ c2_1(a1661)
          & ndr1_0 )
        | ~ hskp55 )
      & ( ( c1_1(a1658)
          & ~ c0_1(a1658)
          & c3_1(a1658)
          & ndr1_0 )
        | ~ hskp54 )
      & ( ( c0_1(a1656)
          & c2_1(a1656)
          & ~ c3_1(a1656)
          & ndr1_0 )
        | ~ hskp53 )
      & ( ( c3_1(a1654)
          & c2_1(a1654)
          & c0_1(a1654)
          & ndr1_0 )
        | ~ hskp52 )
      & ( ( c1_1(a1653)
          & ~ c0_1(a1653)
          & c2_1(a1653)
          & ndr1_0 )
        | ~ hskp51 )
      & ( ( c0_1(a1652)
          & c2_1(a1652)
          & c3_1(a1652)
          & ndr1_0 )
        | ~ hskp50 )
      & ( ( c1_1(a1651)
          & ~ c2_1(a1651)
          & c3_1(a1651)
          & ndr1_0 )
        | ~ hskp49 )
      & ( ( c0_1(a1649)
          & ~ c2_1(a1649)
          & ~ c3_1(a1649)
          & ndr1_0 )
        | ~ hskp48 )
      & ( ( c3_1(a1644)
          & ~ c0_1(a1644)
          & ~ c1_1(a1644)
          & ndr1_0 )
        | ~ hskp47 )
      & ( ( c0_1(a1642)
          & ~ c1_1(a1642)
          & ~ c2_1(a1642)
          & ndr1_0 )
        | ~ hskp46 )
      & ( ( c2_1(a1641)
          & ~ c1_1(a1641)
          & ~ c3_1(a1641)
          & ndr1_0 )
        | ~ hskp45 )
      & ( ( c1_1(a1640)
          & c2_1(a1640)
          & c3_1(a1640)
          & ndr1_0 )
        | ~ hskp44 )
      & ( ( c0_1(a1639)
          & c2_1(a1639)
          & ~ c1_1(a1639)
          & ndr1_0 )
        | ~ hskp43 )
      & ( ( c0_1(a1638)
          & ~ c3_1(a1638)
          & c1_1(a1638)
          & ndr1_0 )
        | ~ hskp42 )
      & ( ( ~ c1_1(a1726)
          & c2_1(a1726)
          & c0_1(a1726)
          & ndr1_0 )
        | ~ hskp41 )
      & ( ( ~ c2_1(a1725)
          & c3_1(a1725)
          & c1_1(a1725)
          & ndr1_0 )
        | ~ hskp40 )
      & ( ( ~ c0_1(a1721)
          & c3_1(a1721)
          & ~ c1_1(a1721)
          & ndr1_0 )
        | ~ hskp39 )
      & ( ( ~ c0_1(a1718)
          & ~ c2_1(a1718)
          & c3_1(a1718)
          & ndr1_0 )
        | ~ hskp38 )
      & ( ( ~ c1_1(a1714)
          & c0_1(a1714)
          & c2_1(a1714)
          & ndr1_0 )
        | ~ hskp37 )
      & ( ( ~ c1_1(a1712)
          & ~ c0_1(a1712)
          & ~ c2_1(a1712)
          & ndr1_0 )
        | ~ hskp36 )
      & ( ( ~ c1_1(a1706)
          & ~ c3_1(a1706)
          & ~ c0_1(a1706)
          & ndr1_0 )
        | ~ hskp35 )
      & ( ( ~ c1_1(a1705)
          & ~ c3_1(a1705)
          & c2_1(a1705)
          & ndr1_0 )
        | ~ hskp34 )
      & ( ( ~ c2_1(a1704)
          & ~ c0_1(a1704)
          & c3_1(a1704)
          & ndr1_0 )
        | ~ hskp33 )
      & ( ( ~ c3_1(a1701)
          & c0_1(a1701)
          & c1_1(a1701)
          & ndr1_0 )
        | ~ hskp32 )
      & ( ( ~ c3_1(a1700)
          & ~ c0_1(a1700)
          & c2_1(a1700)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( ~ c0_1(a1698)
          & c3_1(a1698)
          & c1_1(a1698)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( ~ c3_1(a1695)
          & c0_1(a1695)
          & c2_1(a1695)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( ~ c3_1(a1694)
          & c2_1(a1694)
          & ~ c1_1(a1694)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a1693)
          & ~ c3_1(a1693)
          & ~ c0_1(a1693)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a1691)
          & ~ c1_1(a1691)
          & ~ c3_1(a1691)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a1690)
          & ~ c0_1(a1690)
          & c2_1(a1690)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a1689)
          & c3_1(a1689)
          & ~ c0_1(a1689)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a1685)
          & c2_1(a1685)
          & ~ c0_1(a1685)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a1684)
          & c2_1(a1684)
          & ~ c0_1(a1684)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a1683)
          & c2_1(a1683)
          & c3_1(a1683)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a1682)
          & ~ c1_1(a1682)
          & ~ c2_1(a1682)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a1681)
          & ~ c3_1(a1681)
          & ~ c1_1(a1681)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a1680)
          & ~ c1_1(a1680)
          & ~ c3_1(a1680)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a1678)
          & ~ c1_1(a1678)
          & ~ c0_1(a1678)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a1677)
          & ~ c2_1(a1677)
          & ~ c0_1(a1677)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a1672)
          & c1_1(a1672)
          & c3_1(a1672)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a1671)
          & ~ c1_1(a1671)
          & c2_1(a1671)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a1667)
          & c3_1(a1667)
          & c0_1(a1667)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a1666)
          & c3_1(a1666)
          & c2_1(a1666)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a1664)
          & ~ c2_1(a1664)
          & ~ c3_1(a1664)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a1663)
          & ~ c3_1(a1663)
          & ~ c2_1(a1663)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a1660)
          & ~ c0_1(a1660)
          & ~ c3_1(a1660)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a1657)
          & ~ c1_1(a1657)
          & c2_1(a1657)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a1655)
          & c0_1(a1655)
          & c3_1(a1655)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a1650)
          & ~ c2_1(a1650)
          & ~ c1_1(a1650)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a1648)
          & ~ c1_1(a1648)
          & c3_1(a1648)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a1647)
          & ~ c0_1(a1647)
          & c1_1(a1647)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1646)
          & ~ c1_1(a1646)
          & c0_1(a1646)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a1645)
          & ~ c0_1(a1645)
          & ~ c1_1(a1645)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a1643)
          & c3_1(a1643)
          & ~ c1_1(a1643)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1637)
          & c0_1(a1637)
          & c1_1(a1637)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( hskp30
          | hskp41
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | hskp40
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c1_1(X86)
                | ~ c3_1(X86) ) )
          | hskp75
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c3_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | hskp61 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | ~ c0_1(X82) ) )
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | c0_1(X79) ) )
          | hskp39 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | hskp57
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c1_1(X77)
                | ~ c2_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c0_1(X73) ) )
          | hskp47
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | ~ c1_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | hskp38
          | hskp74 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c3_1(X69)
                | ~ c1_1(X69) ) )
          | hskp73 )
        & ( hskp72
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c0_1(X68)
                | c3_1(X68) ) )
          | hskp37 )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c1_1(X65)
                | c2_1(X65) ) ) )
        & ( hskp71
          | hskp36
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | c2_1(X64) ) ) )
        & ( hskp0
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c1_1(X62)
                | ~ c2_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c0_1(X60)
                | c1_1(X60) ) )
          | hskp70 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c0_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | ~ c1_1(X58) ) )
          | hskp69 )
        & ( hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) )
          | hskp68
          | hskp35 )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c0_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | ~ c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp34 )
        & ( hskp33
          | hskp61
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) ) )
        & ( hskp67
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c3_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp32
          | hskp31
          | hskp63 )
        & ( hskp30
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c3_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) ) )
        & ( hskp53
          | hskp52
          | hskp29 )
        & ( hskp28
          | hskp27
          | hskp66 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c3_1(X47)
                | ~ c2_1(X47) ) )
          | hskp26
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | ~ c3_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c0_1(X44)
                | c1_1(X44) ) )
          | hskp25 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c1_1(X43)
                | ~ c3_1(X43) ) )
          | hskp24
          | hskp61 )
        & ( hskp65
          | hskp64
          | hskp23 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | hskp22
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c0_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp21
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( hskp20
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | hskp19 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c2_1(X37)
                | c1_1(X37) ) )
          | hskp18
          | hskp60 )
        & ( hskp17
          | hskp16
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | hskp63 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c3_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c2_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( hskp62
          | hskp61
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c3_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c2_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) )
          | hskp60 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( hskp15
          | hskp14
          | hskp10 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) )
          | hskp59
          | hskp58 )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c3_1(X23)
                | ~ c2_1(X23) ) )
          | hskp13
          | hskp12 )
        & ( hskp57
          | hskp11
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c2_1(X22)
                | ~ c0_1(X22) ) ) )
        & ( hskp10
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | hskp56 )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c3_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c0_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | ~ c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | hskp55
          | hskp9 )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | hskp2 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c3_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp54
          | hskp8
          | hskp53 )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | ~ c2_1(X11) ) )
          | hskp52 )
        & ( hskp51
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) )
          | hskp50 )
        & ( hskp49
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c0_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp6
          | hskp48
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c3_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp5
          | hskp4
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) ) )
        & ( hskp3
          | hskp2
          | hskp47 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c0_1(X5)
                | c1_1(X5) ) )
          | hskp1
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c0_1(X4)
                | c2_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c0_1(X3)
                | ~ c2_1(X3) ) )
          | hskp46
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp45
          | hskp44
          | hskp43 )
        & ( hskp42
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | ~ c0_1(X1)
                | ~ c2_1(X1) ) )
          | hskp0 )
        & ( ( c3_1(a1724)
            & ~ c2_1(a1724)
            & c0_1(a1724)
            & ndr1_0 )
          | ~ hskp75 )
        & ( ( c2_1(a1717)
            & c0_1(a1717)
            & ~ c3_1(a1717)
            & ndr1_0 )
          | ~ hskp74 )
        & ( ( c0_1(a1716)
            & ~ c3_1(a1716)
            & c2_1(a1716)
            & ndr1_0 )
          | ~ hskp73 )
        & ( ( c3_1(a1715)
            & c1_1(a1715)
            & ~ c2_1(a1715)
            & ndr1_0 )
          | ~ hskp72 )
        & ( ( c0_1(a1713)
            & c3_1(a1713)
            & ~ c2_1(a1713)
            & ndr1_0 )
          | ~ hskp71 )
        & ( ( c1_1(a1710)
            & ~ c3_1(a1710)
            & ~ c0_1(a1710)
            & ndr1_0 )
          | ~ hskp70 )
        & ( ( c3_1(a1709)
            & c0_1(a1709)
            & ~ c1_1(a1709)
            & ndr1_0 )
          | ~ hskp69 )
        & ( ( c0_1(a1707)
            & c3_1(a1707)
            & ~ c1_1(a1707)
            & ndr1_0 )
          | ~ hskp68 )
        & ( ( c3_1(a1702)
            & c2_1(a1702)
            & c1_1(a1702)
            & ndr1_0 )
          | ~ hskp67 )
        & ( ( c0_1(a1692)
            & ~ c2_1(a1692)
            & ~ c1_1(a1692)
            & ndr1_0 )
          | ~ hskp66 )
        & ( ( c2_1(a1687)
            & ~ c0_1(a1687)
            & ~ c3_1(a1687)
            & ndr1_0 )
          | ~ hskp65 )
        & ( ( c0_1(a1686)
            & ~ c1_1(a1686)
            & ~ c3_1(a1686)
            & ndr1_0 )
          | ~ hskp64 )
        & ( ( c3_1(a1676)
            & c2_1(a1676)
            & ~ c0_1(a1676)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c0_1(a1675)
            & c1_1(a1675)
            & ~ c3_1(a1675)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c3_1(a1674)
            & ~ c2_1(a1674)
            & ~ c1_1(a1674)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c2_1(a1673)
            & c3_1(a1673)
            & ~ c1_1(a1673)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c0_1(a1669)
            & ~ c2_1(a1669)
            & c3_1(a1669)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a1668)
            & ~ c1_1(a1668)
            & ~ c0_1(a1668)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a1665)
            & ~ c1_1(a1665)
            & c0_1(a1665)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c1_1(a1662)
            & ~ c2_1(a1662)
            & c0_1(a1662)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c1_1(a1661)
            & ~ c3_1(a1661)
            & ~ c2_1(a1661)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c1_1(a1658)
            & ~ c0_1(a1658)
            & c3_1(a1658)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a1656)
            & c2_1(a1656)
            & ~ c3_1(a1656)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c3_1(a1654)
            & c2_1(a1654)
            & c0_1(a1654)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c1_1(a1653)
            & ~ c0_1(a1653)
            & c2_1(a1653)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c0_1(a1652)
            & c2_1(a1652)
            & c3_1(a1652)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a1651)
            & ~ c2_1(a1651)
            & c3_1(a1651)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c0_1(a1649)
            & ~ c2_1(a1649)
            & ~ c3_1(a1649)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a1644)
            & ~ c0_1(a1644)
            & ~ c1_1(a1644)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c0_1(a1642)
            & ~ c1_1(a1642)
            & ~ c2_1(a1642)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a1641)
            & ~ c1_1(a1641)
            & ~ c3_1(a1641)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c1_1(a1640)
            & c2_1(a1640)
            & c3_1(a1640)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a1639)
            & c2_1(a1639)
            & ~ c1_1(a1639)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a1638)
            & ~ c3_1(a1638)
            & c1_1(a1638)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( ~ c1_1(a1726)
            & c2_1(a1726)
            & c0_1(a1726)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( ~ c2_1(a1725)
            & c3_1(a1725)
            & c1_1(a1725)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( ~ c0_1(a1721)
            & c3_1(a1721)
            & ~ c1_1(a1721)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( ~ c0_1(a1718)
            & ~ c2_1(a1718)
            & c3_1(a1718)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( ~ c1_1(a1714)
            & c0_1(a1714)
            & c2_1(a1714)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( ~ c1_1(a1712)
            & ~ c0_1(a1712)
            & ~ c2_1(a1712)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( ~ c1_1(a1706)
            & ~ c3_1(a1706)
            & ~ c0_1(a1706)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( ~ c1_1(a1705)
            & ~ c3_1(a1705)
            & c2_1(a1705)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( ~ c2_1(a1704)
            & ~ c0_1(a1704)
            & c3_1(a1704)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c3_1(a1701)
            & c0_1(a1701)
            & c1_1(a1701)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c3_1(a1700)
            & ~ c0_1(a1700)
            & c2_1(a1700)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c0_1(a1698)
            & c3_1(a1698)
            & c1_1(a1698)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c3_1(a1695)
            & c0_1(a1695)
            & c2_1(a1695)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c3_1(a1694)
            & c2_1(a1694)
            & ~ c1_1(a1694)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1693)
            & ~ c3_1(a1693)
            & ~ c0_1(a1693)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1691)
            & ~ c1_1(a1691)
            & ~ c3_1(a1691)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a1690)
            & ~ c0_1(a1690)
            & c2_1(a1690)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1689)
            & c3_1(a1689)
            & ~ c0_1(a1689)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a1685)
            & c2_1(a1685)
            & ~ c0_1(a1685)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1684)
            & c2_1(a1684)
            & ~ c0_1(a1684)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1683)
            & c2_1(a1683)
            & c3_1(a1683)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a1682)
            & ~ c1_1(a1682)
            & ~ c2_1(a1682)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1681)
            & ~ c3_1(a1681)
            & ~ c1_1(a1681)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1680)
            & ~ c1_1(a1680)
            & ~ c3_1(a1680)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1678)
            & ~ c1_1(a1678)
            & ~ c0_1(a1678)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1677)
            & ~ c2_1(a1677)
            & ~ c0_1(a1677)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a1672)
            & c1_1(a1672)
            & c3_1(a1672)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1671)
            & ~ c1_1(a1671)
            & c2_1(a1671)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a1667)
            & c3_1(a1667)
            & c0_1(a1667)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a1666)
            & c3_1(a1666)
            & c2_1(a1666)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1664)
            & ~ c2_1(a1664)
            & ~ c3_1(a1664)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a1663)
            & ~ c3_1(a1663)
            & ~ c2_1(a1663)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a1660)
            & ~ c0_1(a1660)
            & ~ c3_1(a1660)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a1657)
            & ~ c1_1(a1657)
            & c2_1(a1657)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1655)
            & c0_1(a1655)
            & c3_1(a1655)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a1650)
            & ~ c2_1(a1650)
            & ~ c1_1(a1650)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1648)
            & ~ c1_1(a1648)
            & c3_1(a1648)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1647)
            & ~ c0_1(a1647)
            & c1_1(a1647)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1646)
            & ~ c1_1(a1646)
            & c0_1(a1646)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1645)
            & ~ c0_1(a1645)
            & ~ c1_1(a1645)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1643)
            & c3_1(a1643)
            & ~ c1_1(a1643)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1637)
            & c0_1(a1637)
            & c1_1(a1637)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ( ( hskp30
          | hskp41
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | hskp40
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c1_1(X86)
                | ~ c3_1(X86) ) )
          | hskp75
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c3_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | hskp61 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | ~ c0_1(X82) ) )
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c3_1(X79)
                | c0_1(X79) ) )
          | hskp39 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | hskp57
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c1_1(X77)
                | ~ c2_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c0_1(X73) ) )
          | hskp47
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | ~ c1_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | hskp38
          | hskp74 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c3_1(X69)
                | ~ c1_1(X69) ) )
          | hskp73 )
        & ( hskp72
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c0_1(X68)
                | c3_1(X68) ) )
          | hskp37 )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c1_1(X65)
                | c2_1(X65) ) ) )
        & ( hskp71
          | hskp36
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | c2_1(X64) ) ) )
        & ( hskp0
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c1_1(X62)
                | ~ c2_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c0_1(X60)
                | c1_1(X60) ) )
          | hskp70 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c0_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | ~ c1_1(X58) ) )
          | hskp69 )
        & ( hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) )
          | hskp68
          | hskp35 )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c0_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | ~ c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp34 )
        & ( hskp33
          | hskp61
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) ) )
        & ( hskp67
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c3_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp32
          | hskp31
          | hskp63 )
        & ( hskp30
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c3_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) ) )
        & ( hskp53
          | hskp52
          | hskp29 )
        & ( hskp28
          | hskp27
          | hskp66 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c3_1(X47)
                | ~ c2_1(X47) ) )
          | hskp26
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | ~ c3_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c0_1(X44)
                | c1_1(X44) ) )
          | hskp25 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c1_1(X43)
                | ~ c3_1(X43) ) )
          | hskp24
          | hskp61 )
        & ( hskp65
          | hskp64
          | hskp23 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | hskp22
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c0_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp21
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c0_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( hskp20
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | hskp19 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c2_1(X37)
                | c1_1(X37) ) )
          | hskp18
          | hskp60 )
        & ( hskp17
          | hskp16
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) )
          | hskp63 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c3_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c2_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( hskp62
          | hskp61
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c3_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c2_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) )
          | hskp60 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) ) )
        & ( hskp15
          | hskp14
          | hskp10 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) )
          | hskp59
          | hskp58 )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c3_1(X23)
                | ~ c2_1(X23) ) )
          | hskp13
          | hskp12 )
        & ( hskp57
          | hskp11
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c2_1(X22)
                | ~ c0_1(X22) ) ) )
        & ( hskp10
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | hskp56 )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c3_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c0_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | ~ c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | hskp55
          | hskp9 )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | hskp2 )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c3_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp54
          | hskp8
          | hskp53 )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | ~ c2_1(X11) ) )
          | hskp52 )
        & ( hskp51
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) )
          | hskp50 )
        & ( hskp49
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c0_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp6
          | hskp48
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | ~ c3_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp5
          | hskp4
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) ) )
        & ( hskp3
          | hskp2
          | hskp47 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c0_1(X5)
                | c1_1(X5) ) )
          | hskp1
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c0_1(X4)
                | c2_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c0_1(X3)
                | ~ c2_1(X3) ) )
          | hskp46
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp45
          | hskp44
          | hskp43 )
        & ( hskp42
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | ~ c0_1(X1)
                | ~ c2_1(X1) ) )
          | hskp0 )
        & ( ( c3_1(a1724)
            & ~ c2_1(a1724)
            & c0_1(a1724)
            & ndr1_0 )
          | ~ hskp75 )
        & ( ( c2_1(a1717)
            & c0_1(a1717)
            & ~ c3_1(a1717)
            & ndr1_0 )
          | ~ hskp74 )
        & ( ( c0_1(a1716)
            & ~ c3_1(a1716)
            & c2_1(a1716)
            & ndr1_0 )
          | ~ hskp73 )
        & ( ( c3_1(a1715)
            & c1_1(a1715)
            & ~ c2_1(a1715)
            & ndr1_0 )
          | ~ hskp72 )
        & ( ( c0_1(a1713)
            & c3_1(a1713)
            & ~ c2_1(a1713)
            & ndr1_0 )
          | ~ hskp71 )
        & ( ( c1_1(a1710)
            & ~ c3_1(a1710)
            & ~ c0_1(a1710)
            & ndr1_0 )
          | ~ hskp70 )
        & ( ( c3_1(a1709)
            & c0_1(a1709)
            & ~ c1_1(a1709)
            & ndr1_0 )
          | ~ hskp69 )
        & ( ( c0_1(a1707)
            & c3_1(a1707)
            & ~ c1_1(a1707)
            & ndr1_0 )
          | ~ hskp68 )
        & ( ( c3_1(a1702)
            & c2_1(a1702)
            & c1_1(a1702)
            & ndr1_0 )
          | ~ hskp67 )
        & ( ( c0_1(a1692)
            & ~ c2_1(a1692)
            & ~ c1_1(a1692)
            & ndr1_0 )
          | ~ hskp66 )
        & ( ( c2_1(a1687)
            & ~ c0_1(a1687)
            & ~ c3_1(a1687)
            & ndr1_0 )
          | ~ hskp65 )
        & ( ( c0_1(a1686)
            & ~ c1_1(a1686)
            & ~ c3_1(a1686)
            & ndr1_0 )
          | ~ hskp64 )
        & ( ( c3_1(a1676)
            & c2_1(a1676)
            & ~ c0_1(a1676)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c0_1(a1675)
            & c1_1(a1675)
            & ~ c3_1(a1675)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c3_1(a1674)
            & ~ c2_1(a1674)
            & ~ c1_1(a1674)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c2_1(a1673)
            & c3_1(a1673)
            & ~ c1_1(a1673)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c0_1(a1669)
            & ~ c2_1(a1669)
            & c3_1(a1669)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a1668)
            & ~ c1_1(a1668)
            & ~ c0_1(a1668)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a1665)
            & ~ c1_1(a1665)
            & c0_1(a1665)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c1_1(a1662)
            & ~ c2_1(a1662)
            & c0_1(a1662)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c1_1(a1661)
            & ~ c3_1(a1661)
            & ~ c2_1(a1661)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c1_1(a1658)
            & ~ c0_1(a1658)
            & c3_1(a1658)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a1656)
            & c2_1(a1656)
            & ~ c3_1(a1656)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c3_1(a1654)
            & c2_1(a1654)
            & c0_1(a1654)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c1_1(a1653)
            & ~ c0_1(a1653)
            & c2_1(a1653)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c0_1(a1652)
            & c2_1(a1652)
            & c3_1(a1652)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a1651)
            & ~ c2_1(a1651)
            & c3_1(a1651)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c0_1(a1649)
            & ~ c2_1(a1649)
            & ~ c3_1(a1649)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a1644)
            & ~ c0_1(a1644)
            & ~ c1_1(a1644)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c0_1(a1642)
            & ~ c1_1(a1642)
            & ~ c2_1(a1642)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a1641)
            & ~ c1_1(a1641)
            & ~ c3_1(a1641)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c1_1(a1640)
            & c2_1(a1640)
            & c3_1(a1640)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a1639)
            & c2_1(a1639)
            & ~ c1_1(a1639)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a1638)
            & ~ c3_1(a1638)
            & c1_1(a1638)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( ~ c1_1(a1726)
            & c2_1(a1726)
            & c0_1(a1726)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( ~ c2_1(a1725)
            & c3_1(a1725)
            & c1_1(a1725)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( ~ c0_1(a1721)
            & c3_1(a1721)
            & ~ c1_1(a1721)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( ~ c0_1(a1718)
            & ~ c2_1(a1718)
            & c3_1(a1718)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( ~ c1_1(a1714)
            & c0_1(a1714)
            & c2_1(a1714)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( ~ c1_1(a1712)
            & ~ c0_1(a1712)
            & ~ c2_1(a1712)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( ~ c1_1(a1706)
            & ~ c3_1(a1706)
            & ~ c0_1(a1706)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( ~ c1_1(a1705)
            & ~ c3_1(a1705)
            & c2_1(a1705)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( ~ c2_1(a1704)
            & ~ c0_1(a1704)
            & c3_1(a1704)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c3_1(a1701)
            & c0_1(a1701)
            & c1_1(a1701)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c3_1(a1700)
            & ~ c0_1(a1700)
            & c2_1(a1700)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c0_1(a1698)
            & c3_1(a1698)
            & c1_1(a1698)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c3_1(a1695)
            & c0_1(a1695)
            & c2_1(a1695)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c3_1(a1694)
            & c2_1(a1694)
            & ~ c1_1(a1694)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a1693)
            & ~ c3_1(a1693)
            & ~ c0_1(a1693)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a1691)
            & ~ c1_1(a1691)
            & ~ c3_1(a1691)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a1690)
            & ~ c0_1(a1690)
            & c2_1(a1690)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1689)
            & c3_1(a1689)
            & ~ c0_1(a1689)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a1685)
            & c2_1(a1685)
            & ~ c0_1(a1685)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a1684)
            & c2_1(a1684)
            & ~ c0_1(a1684)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a1683)
            & c2_1(a1683)
            & c3_1(a1683)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a1682)
            & ~ c1_1(a1682)
            & ~ c2_1(a1682)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1681)
            & ~ c3_1(a1681)
            & ~ c1_1(a1681)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a1680)
            & ~ c1_1(a1680)
            & ~ c3_1(a1680)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1678)
            & ~ c1_1(a1678)
            & ~ c0_1(a1678)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a1677)
            & ~ c2_1(a1677)
            & ~ c0_1(a1677)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a1672)
            & c1_1(a1672)
            & c3_1(a1672)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a1671)
            & ~ c1_1(a1671)
            & c2_1(a1671)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a1667)
            & c3_1(a1667)
            & c0_1(a1667)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a1666)
            & c3_1(a1666)
            & c2_1(a1666)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a1664)
            & ~ c2_1(a1664)
            & ~ c3_1(a1664)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a1663)
            & ~ c3_1(a1663)
            & ~ c2_1(a1663)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a1660)
            & ~ c0_1(a1660)
            & ~ c3_1(a1660)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a1657)
            & ~ c1_1(a1657)
            & c2_1(a1657)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1655)
            & c0_1(a1655)
            & c3_1(a1655)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a1650)
            & ~ c2_1(a1650)
            & ~ c1_1(a1650)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a1648)
            & ~ c1_1(a1648)
            & c3_1(a1648)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a1647)
            & ~ c0_1(a1647)
            & c1_1(a1647)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1646)
            & ~ c1_1(a1646)
            & c0_1(a1646)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1645)
            & ~ c0_1(a1645)
            & ~ c1_1(a1645)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a1643)
            & c3_1(a1643)
            & ~ c1_1(a1643)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1637)
            & c0_1(a1637)
            & c1_1(a1637)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178] :
      ( ( hskp30
        | hskp41
        | c0_1(X178)
        | ~ c1_1(X178)
        | c2_1(X178)
        | ~ ndr1_0 )
      & ( ~ c3_1(X177)
        | ~ c1_1(X177)
        | ~ c0_1(X177)
        | ~ ndr1_0
        | hskp40
        | c3_1(X176)
        | ~ c2_1(X176)
        | c1_1(X176)
        | ~ ndr1_0 )
      & ( c2_1(X175)
        | c1_1(X175)
        | ~ c3_1(X175)
        | ~ ndr1_0
        | hskp75
        | ~ c1_1(X174)
        | c3_1(X174)
        | ~ c2_1(X174)
        | ~ ndr1_0 )
      & ( c3_1(X173)
        | c2_1(X173)
        | ~ c0_1(X173)
        | ~ ndr1_0
        | ~ c1_1(X172)
        | ~ c0_1(X172)
        | c2_1(X172)
        | ~ ndr1_0
        | hskp61 )
      & ( ~ c3_1(X171)
        | c1_1(X171)
        | ~ c0_1(X171)
        | ~ ndr1_0
        | hskp29
        | ~ c3_1(X170)
        | c1_1(X170)
        | c0_1(X170)
        | ~ ndr1_0 )
      & ( ~ c3_1(X169)
        | ~ c0_1(X169)
        | c2_1(X169)
        | ~ ndr1_0
        | ~ c2_1(X168)
        | ~ c3_1(X168)
        | c0_1(X168)
        | ~ ndr1_0
        | hskp39 )
      & ( ~ c0_1(X167)
        | c3_1(X167)
        | c2_1(X167)
        | ~ ndr1_0
        | hskp57
        | c3_1(X166)
        | c1_1(X166)
        | ~ c2_1(X166)
        | ~ ndr1_0 )
      & ( c1_1(X165)
        | c2_1(X165)
        | ~ c0_1(X165)
        | ~ ndr1_0
        | ~ c1_1(X164)
        | ~ c0_1(X164)
        | ~ c3_1(X164)
        | ~ ndr1_0
        | ~ c3_1(X163)
        | c2_1(X163)
        | c1_1(X163)
        | ~ ndr1_0 )
      & ( c2_1(X162)
        | c3_1(X162)
        | ~ c0_1(X162)
        | ~ ndr1_0
        | hskp47
        | ~ c3_1(X161)
        | ~ c0_1(X161)
        | ~ c1_1(X161)
        | ~ ndr1_0 )
      & ( ~ c0_1(X160)
        | ~ c2_1(X160)
        | ~ c3_1(X160)
        | ~ ndr1_0
        | hskp38
        | hskp74 )
      & ( c1_1(X159)
        | ~ c2_1(X159)
        | ~ c3_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | ~ c3_1(X158)
        | ~ c1_1(X158)
        | ~ ndr1_0
        | hskp73 )
      & ( hskp72
        | c2_1(X157)
        | c0_1(X157)
        | c3_1(X157)
        | ~ ndr1_0
        | hskp37 )
      & ( ~ c2_1(X156)
        | ~ c0_1(X156)
        | c3_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c2_1(X155)
        | c1_1(X155)
        | ~ ndr1_0
        | c3_1(X154)
        | c1_1(X154)
        | c2_1(X154)
        | ~ ndr1_0 )
      & ( hskp71
        | hskp36
        | c0_1(X153)
        | ~ c1_1(X153)
        | c2_1(X153)
        | ~ ndr1_0 )
      & ( hskp0
        | ~ c3_1(X152)
        | ~ c1_1(X152)
        | c2_1(X152)
        | ~ ndr1_0
        | ~ c0_1(X151)
        | ~ c1_1(X151)
        | ~ c2_1(X151)
        | ~ ndr1_0 )
      & ( c3_1(X150)
        | c0_1(X150)
        | c2_1(X150)
        | ~ ndr1_0
        | ~ c2_1(X149)
        | c0_1(X149)
        | c1_1(X149)
        | ~ ndr1_0
        | hskp70 )
      & ( c1_1(X148)
        | c0_1(X148)
        | ~ c3_1(X148)
        | ~ ndr1_0
        | c3_1(X147)
        | c2_1(X147)
        | ~ c1_1(X147)
        | ~ ndr1_0
        | hskp69 )
      & ( hskp13
        | ~ c3_1(X146)
        | ~ c0_1(X146)
        | ~ c1_1(X146)
        | ~ ndr1_0
        | ~ c3_1(X145)
        | ~ c1_1(X145)
        | c2_1(X145)
        | ~ ndr1_0 )
      & ( c2_1(X144)
        | ~ c1_1(X144)
        | c0_1(X144)
        | ~ ndr1_0
        | hskp68
        | hskp35 )
      & ( ~ c2_1(X143)
        | ~ c0_1(X143)
        | c1_1(X143)
        | ~ ndr1_0
        | c2_1(X142)
        | ~ c3_1(X142)
        | ~ c1_1(X142)
        | ~ ndr1_0
        | hskp34 )
      & ( hskp33
        | hskp61
        | ~ c3_1(X141)
        | ~ c0_1(X141)
        | c2_1(X141)
        | ~ ndr1_0 )
      & ( hskp67
        | c1_1(X140)
        | ~ c0_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | c1_1(X139)
        | ~ ndr1_0 )
      & ( hskp32
        | hskp31
        | hskp63 )
      & ( hskp30
        | c1_1(X138)
        | ~ c3_1(X138)
        | c0_1(X138)
        | ~ ndr1_0
        | c2_1(X137)
        | ~ c1_1(X137)
        | ~ c0_1(X137)
        | ~ ndr1_0 )
      & ( hskp53
        | hskp52
        | hskp29 )
      & ( hskp28
        | hskp27
        | hskp66 )
      & ( c1_1(X136)
        | ~ c3_1(X136)
        | ~ c2_1(X136)
        | ~ ndr1_0
        | hskp26
        | ~ c0_1(X135)
        | ~ c3_1(X135)
        | ~ c2_1(X135)
        | ~ ndr1_0 )
      & ( c0_1(X134)
        | ~ c3_1(X134)
        | ~ c1_1(X134)
        | ~ ndr1_0
        | c3_1(X133)
        | c0_1(X133)
        | c1_1(X133)
        | ~ ndr1_0
        | hskp25 )
      & ( c0_1(X132)
        | c1_1(X132)
        | ~ c3_1(X132)
        | ~ ndr1_0
        | hskp24
        | hskp61 )
      & ( hskp65
        | hskp64
        | hskp23 )
      & ( c2_1(X131)
        | ~ c0_1(X131)
        | c3_1(X131)
        | ~ ndr1_0
        | hskp22
        | c3_1(X130)
        | c0_1(X130)
        | ~ c2_1(X130)
        | ~ ndr1_0 )
      & ( c3_1(X129)
        | c2_1(X129)
        | ~ c1_1(X129)
        | ~ ndr1_0
        | hskp21
        | c2_1(X128)
        | c0_1(X128)
        | ~ c1_1(X128)
        | ~ ndr1_0 )
      & ( hskp20
        | c3_1(X127)
        | ~ c1_1(X127)
        | ~ c0_1(X127)
        | ~ ndr1_0
        | hskp19 )
      & ( c3_1(X126)
        | ~ c2_1(X126)
        | c1_1(X126)
        | ~ ndr1_0
        | hskp18
        | hskp60 )
      & ( hskp17
        | hskp16
        | ~ c3_1(X125)
        | c1_1(X125)
        | ~ c0_1(X125)
        | ~ ndr1_0 )
      & ( ~ c3_1(X124)
        | ~ c1_1(X124)
        | ~ c2_1(X124)
        | ~ ndr1_0
        | ~ c3_1(X123)
        | ~ c0_1(X123)
        | c1_1(X123)
        | ~ ndr1_0
        | hskp63 )
      & ( c1_1(X122)
        | ~ c3_1(X122)
        | c0_1(X122)
        | ~ ndr1_0
        | c1_1(X121)
        | ~ c3_1(X121)
        | ~ c0_1(X121)
        | ~ ndr1_0
        | c3_1(X120)
        | ~ c2_1(X120)
        | ~ c1_1(X120)
        | ~ ndr1_0 )
      & ( hskp62
        | hskp61
        | c0_1(X119)
        | ~ c3_1(X119)
        | ~ c1_1(X119)
        | ~ ndr1_0 )
      & ( c1_1(X118)
        | ~ c2_1(X118)
        | c3_1(X118)
        | ~ ndr1_0
        | ~ c3_1(X117)
        | c1_1(X117)
        | c0_1(X117)
        | ~ ndr1_0
        | hskp60 )
      & ( ~ c3_1(X116)
        | ~ c0_1(X116)
        | c2_1(X116)
        | ~ ndr1_0
        | c0_1(X115)
        | c2_1(X115)
        | ~ c3_1(X115)
        | ~ ndr1_0
        | ~ c3_1(X114)
        | c1_1(X114)
        | ~ c2_1(X114)
        | ~ ndr1_0 )
      & ( hskp15
        | hskp14
        | hskp10 )
      & ( c2_1(X113)
        | ~ c0_1(X113)
        | c1_1(X113)
        | ~ ndr1_0
        | hskp59
        | hskp58 )
      & ( ~ c1_1(X112)
        | ~ c3_1(X112)
        | ~ c2_1(X112)
        | ~ ndr1_0
        | hskp13
        | hskp12 )
      & ( hskp57
        | hskp11
        | ~ c3_1(X111)
        | c2_1(X111)
        | ~ c0_1(X111)
        | ~ ndr1_0 )
      & ( hskp10
        | c0_1(X110)
        | c3_1(X110)
        | c2_1(X110)
        | ~ ndr1_0
        | hskp56 )
      & ( ~ c0_1(X109)
        | ~ c3_1(X109)
        | c2_1(X109)
        | ~ ndr1_0
        | ~ c3_1(X108)
        | c0_1(X108)
        | c2_1(X108)
        | ~ ndr1_0
        | c3_1(X107)
        | c1_1(X107)
        | ~ c0_1(X107)
        | ~ ndr1_0 )
      & ( c3_1(X106)
        | ~ c2_1(X106)
        | ~ c0_1(X106)
        | ~ ndr1_0
        | hskp55
        | hskp9 )
      & ( ~ c0_1(X105)
        | c3_1(X105)
        | ~ c1_1(X105)
        | ~ ndr1_0
        | ~ c0_1(X104)
        | c1_1(X104)
        | c3_1(X104)
        | ~ ndr1_0
        | hskp2 )
      & ( ~ c2_1(X103)
        | ~ c3_1(X103)
        | ~ c0_1(X103)
        | ~ ndr1_0
        | ~ c2_1(X102)
        | c1_1(X102)
        | ~ c0_1(X102)
        | ~ ndr1_0
        | c0_1(X101)
        | c3_1(X101)
        | c2_1(X101)
        | ~ ndr1_0 )
      & ( hskp54
        | hskp8
        | hskp53 )
      & ( hskp7
        | c3_1(X100)
        | ~ c0_1(X100)
        | ~ c2_1(X100)
        | ~ ndr1_0
        | hskp52 )
      & ( hskp51
        | ~ c2_1(X99)
        | ~ c0_1(X99)
        | ~ c1_1(X99)
        | ~ ndr1_0
        | hskp50 )
      & ( hskp49
        | c0_1(X98)
        | c2_1(X98)
        | c1_1(X98)
        | ~ ndr1_0
        | ~ c1_1(X97)
        | c0_1(X97)
        | c2_1(X97)
        | ~ ndr1_0 )
      & ( hskp6
        | hskp48
        | c2_1(X96)
        | ~ c3_1(X96)
        | ~ c0_1(X96)
        | ~ ndr1_0 )
      & ( hskp5
        | hskp4
        | ~ c3_1(X95)
        | c0_1(X95)
        | c1_1(X95)
        | ~ ndr1_0 )
      & ( hskp3
        | hskp2
        | hskp47 )
      & ( c2_1(X94)
        | ~ c0_1(X94)
        | c1_1(X94)
        | ~ ndr1_0
        | hskp1
        | c3_1(X93)
        | c0_1(X93)
        | c2_1(X93)
        | ~ ndr1_0 )
      & ( ~ c3_1(X92)
        | c0_1(X92)
        | ~ c2_1(X92)
        | ~ ndr1_0
        | hskp46
        | c2_1(X91)
        | ~ c1_1(X91)
        | c0_1(X91)
        | ~ ndr1_0 )
      & ( hskp45
        | hskp44
        | hskp43 )
      & ( hskp42
        | c3_1(X90)
        | ~ c0_1(X90)
        | ~ c2_1(X90)
        | ~ ndr1_0
        | hskp0 )
      & ( ~ hskp75
        | c3_1(a1724) )
      & ( ~ hskp75
        | ~ c2_1(a1724) )
      & ( ~ hskp75
        | c0_1(a1724) )
      & ( ~ hskp75
        | ndr1_0 )
      & ( ~ hskp74
        | c2_1(a1717) )
      & ( ~ hskp74
        | c0_1(a1717) )
      & ( ~ hskp74
        | ~ c3_1(a1717) )
      & ( ~ hskp74
        | ndr1_0 )
      & ( ~ hskp73
        | c0_1(a1716) )
      & ( ~ hskp73
        | ~ c3_1(a1716) )
      & ( ~ hskp73
        | c2_1(a1716) )
      & ( ~ hskp73
        | ndr1_0 )
      & ( ~ hskp72
        | c3_1(a1715) )
      & ( ~ hskp72
        | c1_1(a1715) )
      & ( ~ hskp72
        | ~ c2_1(a1715) )
      & ( ~ hskp72
        | ndr1_0 )
      & ( ~ hskp71
        | c0_1(a1713) )
      & ( ~ hskp71
        | c3_1(a1713) )
      & ( ~ hskp71
        | ~ c2_1(a1713) )
      & ( ~ hskp71
        | ndr1_0 )
      & ( ~ hskp70
        | c1_1(a1710) )
      & ( ~ hskp70
        | ~ c3_1(a1710) )
      & ( ~ hskp70
        | ~ c0_1(a1710) )
      & ( ~ hskp70
        | ndr1_0 )
      & ( ~ hskp69
        | c3_1(a1709) )
      & ( ~ hskp69
        | c0_1(a1709) )
      & ( ~ hskp69
        | ~ c1_1(a1709) )
      & ( ~ hskp69
        | ndr1_0 )
      & ( ~ hskp68
        | c0_1(a1707) )
      & ( ~ hskp68
        | c3_1(a1707) )
      & ( ~ hskp68
        | ~ c1_1(a1707) )
      & ( ~ hskp68
        | ndr1_0 )
      & ( ~ hskp67
        | c3_1(a1702) )
      & ( ~ hskp67
        | c2_1(a1702) )
      & ( ~ hskp67
        | c1_1(a1702) )
      & ( ~ hskp67
        | ndr1_0 )
      & ( ~ hskp66
        | c0_1(a1692) )
      & ( ~ hskp66
        | ~ c2_1(a1692) )
      & ( ~ hskp66
        | ~ c1_1(a1692) )
      & ( ~ hskp66
        | ndr1_0 )
      & ( ~ hskp65
        | c2_1(a1687) )
      & ( ~ hskp65
        | ~ c0_1(a1687) )
      & ( ~ hskp65
        | ~ c3_1(a1687) )
      & ( ~ hskp65
        | ndr1_0 )
      & ( ~ hskp64
        | c0_1(a1686) )
      & ( ~ hskp64
        | ~ c1_1(a1686) )
      & ( ~ hskp64
        | ~ c3_1(a1686) )
      & ( ~ hskp64
        | ndr1_0 )
      & ( ~ hskp63
        | c3_1(a1676) )
      & ( ~ hskp63
        | c2_1(a1676) )
      & ( ~ hskp63
        | ~ c0_1(a1676) )
      & ( ~ hskp63
        | ndr1_0 )
      & ( ~ hskp62
        | c0_1(a1675) )
      & ( ~ hskp62
        | c1_1(a1675) )
      & ( ~ hskp62
        | ~ c3_1(a1675) )
      & ( ~ hskp62
        | ndr1_0 )
      & ( ~ hskp61
        | c3_1(a1674) )
      & ( ~ hskp61
        | ~ c2_1(a1674) )
      & ( ~ hskp61
        | ~ c1_1(a1674) )
      & ( ~ hskp61
        | ndr1_0 )
      & ( ~ hskp60
        | c2_1(a1673) )
      & ( ~ hskp60
        | c3_1(a1673) )
      & ( ~ hskp60
        | ~ c1_1(a1673) )
      & ( ~ hskp60
        | ndr1_0 )
      & ( ~ hskp59
        | c0_1(a1669) )
      & ( ~ hskp59
        | ~ c2_1(a1669) )
      & ( ~ hskp59
        | c3_1(a1669) )
      & ( ~ hskp59
        | ndr1_0 )
      & ( ~ hskp58
        | c3_1(a1668) )
      & ( ~ hskp58
        | ~ c1_1(a1668) )
      & ( ~ hskp58
        | ~ c0_1(a1668) )
      & ( ~ hskp58
        | ndr1_0 )
      & ( ~ hskp57
        | c3_1(a1665) )
      & ( ~ hskp57
        | ~ c1_1(a1665) )
      & ( ~ hskp57
        | c0_1(a1665) )
      & ( ~ hskp57
        | ndr1_0 )
      & ( ~ hskp56
        | c1_1(a1662) )
      & ( ~ hskp56
        | ~ c2_1(a1662) )
      & ( ~ hskp56
        | c0_1(a1662) )
      & ( ~ hskp56
        | ndr1_0 )
      & ( ~ hskp55
        | c1_1(a1661) )
      & ( ~ hskp55
        | ~ c3_1(a1661) )
      & ( ~ hskp55
        | ~ c2_1(a1661) )
      & ( ~ hskp55
        | ndr1_0 )
      & ( ~ hskp54
        | c1_1(a1658) )
      & ( ~ hskp54
        | ~ c0_1(a1658) )
      & ( ~ hskp54
        | c3_1(a1658) )
      & ( ~ hskp54
        | ndr1_0 )
      & ( ~ hskp53
        | c0_1(a1656) )
      & ( ~ hskp53
        | c2_1(a1656) )
      & ( ~ hskp53
        | ~ c3_1(a1656) )
      & ( ~ hskp53
        | ndr1_0 )
      & ( ~ hskp52
        | c3_1(a1654) )
      & ( ~ hskp52
        | c2_1(a1654) )
      & ( ~ hskp52
        | c0_1(a1654) )
      & ( ~ hskp52
        | ndr1_0 )
      & ( ~ hskp51
        | c1_1(a1653) )
      & ( ~ hskp51
        | ~ c0_1(a1653) )
      & ( ~ hskp51
        | c2_1(a1653) )
      & ( ~ hskp51
        | ndr1_0 )
      & ( ~ hskp50
        | c0_1(a1652) )
      & ( ~ hskp50
        | c2_1(a1652) )
      & ( ~ hskp50
        | c3_1(a1652) )
      & ( ~ hskp50
        | ndr1_0 )
      & ( ~ hskp49
        | c1_1(a1651) )
      & ( ~ hskp49
        | ~ c2_1(a1651) )
      & ( ~ hskp49
        | c3_1(a1651) )
      & ( ~ hskp49
        | ndr1_0 )
      & ( ~ hskp48
        | c0_1(a1649) )
      & ( ~ hskp48
        | ~ c2_1(a1649) )
      & ( ~ hskp48
        | ~ c3_1(a1649) )
      & ( ~ hskp48
        | ndr1_0 )
      & ( ~ hskp47
        | c3_1(a1644) )
      & ( ~ hskp47
        | ~ c0_1(a1644) )
      & ( ~ hskp47
        | ~ c1_1(a1644) )
      & ( ~ hskp47
        | ndr1_0 )
      & ( ~ hskp46
        | c0_1(a1642) )
      & ( ~ hskp46
        | ~ c1_1(a1642) )
      & ( ~ hskp46
        | ~ c2_1(a1642) )
      & ( ~ hskp46
        | ndr1_0 )
      & ( ~ hskp45
        | c2_1(a1641) )
      & ( ~ hskp45
        | ~ c1_1(a1641) )
      & ( ~ hskp45
        | ~ c3_1(a1641) )
      & ( ~ hskp45
        | ndr1_0 )
      & ( ~ hskp44
        | c1_1(a1640) )
      & ( ~ hskp44
        | c2_1(a1640) )
      & ( ~ hskp44
        | c3_1(a1640) )
      & ( ~ hskp44
        | ndr1_0 )
      & ( ~ hskp43
        | c0_1(a1639) )
      & ( ~ hskp43
        | c2_1(a1639) )
      & ( ~ hskp43
        | ~ c1_1(a1639) )
      & ( ~ hskp43
        | ndr1_0 )
      & ( ~ hskp42
        | c0_1(a1638) )
      & ( ~ hskp42
        | ~ c3_1(a1638) )
      & ( ~ hskp42
        | c1_1(a1638) )
      & ( ~ hskp42
        | ndr1_0 )
      & ( ~ hskp41
        | ~ c1_1(a1726) )
      & ( ~ hskp41
        | c2_1(a1726) )
      & ( ~ hskp41
        | c0_1(a1726) )
      & ( ~ hskp41
        | ndr1_0 )
      & ( ~ hskp40
        | ~ c2_1(a1725) )
      & ( ~ hskp40
        | c3_1(a1725) )
      & ( ~ hskp40
        | c1_1(a1725) )
      & ( ~ hskp40
        | ndr1_0 )
      & ( ~ hskp39
        | ~ c0_1(a1721) )
      & ( ~ hskp39
        | c3_1(a1721) )
      & ( ~ hskp39
        | ~ c1_1(a1721) )
      & ( ~ hskp39
        | ndr1_0 )
      & ( ~ hskp38
        | ~ c0_1(a1718) )
      & ( ~ hskp38
        | ~ c2_1(a1718) )
      & ( ~ hskp38
        | c3_1(a1718) )
      & ( ~ hskp38
        | ndr1_0 )
      & ( ~ hskp37
        | ~ c1_1(a1714) )
      & ( ~ hskp37
        | c0_1(a1714) )
      & ( ~ hskp37
        | c2_1(a1714) )
      & ( ~ hskp37
        | ndr1_0 )
      & ( ~ hskp36
        | ~ c1_1(a1712) )
      & ( ~ hskp36
        | ~ c0_1(a1712) )
      & ( ~ hskp36
        | ~ c2_1(a1712) )
      & ( ~ hskp36
        | ndr1_0 )
      & ( ~ hskp35
        | ~ c1_1(a1706) )
      & ( ~ hskp35
        | ~ c3_1(a1706) )
      & ( ~ hskp35
        | ~ c0_1(a1706) )
      & ( ~ hskp35
        | ndr1_0 )
      & ( ~ hskp34
        | ~ c1_1(a1705) )
      & ( ~ hskp34
        | ~ c3_1(a1705) )
      & ( ~ hskp34
        | c2_1(a1705) )
      & ( ~ hskp34
        | ndr1_0 )
      & ( ~ hskp33
        | ~ c2_1(a1704) )
      & ( ~ hskp33
        | ~ c0_1(a1704) )
      & ( ~ hskp33
        | c3_1(a1704) )
      & ( ~ hskp33
        | ndr1_0 )
      & ( ~ hskp32
        | ~ c3_1(a1701) )
      & ( ~ hskp32
        | c0_1(a1701) )
      & ( ~ hskp32
        | c1_1(a1701) )
      & ( ~ hskp32
        | ndr1_0 )
      & ( ~ hskp31
        | ~ c3_1(a1700) )
      & ( ~ hskp31
        | ~ c0_1(a1700) )
      & ( ~ hskp31
        | c2_1(a1700) )
      & ( ~ hskp31
        | ndr1_0 )
      & ( ~ hskp30
        | ~ c0_1(a1698) )
      & ( ~ hskp30
        | c3_1(a1698) )
      & ( ~ hskp30
        | c1_1(a1698) )
      & ( ~ hskp30
        | ndr1_0 )
      & ( ~ hskp29
        | ~ c3_1(a1695) )
      & ( ~ hskp29
        | c0_1(a1695) )
      & ( ~ hskp29
        | c2_1(a1695) )
      & ( ~ hskp29
        | ndr1_0 )
      & ( ~ hskp28
        | ~ c3_1(a1694) )
      & ( ~ hskp28
        | c2_1(a1694) )
      & ( ~ hskp28
        | ~ c1_1(a1694) )
      & ( ~ hskp28
        | ndr1_0 )
      & ( ~ hskp27
        | ~ c2_1(a1693) )
      & ( ~ hskp27
        | ~ c3_1(a1693) )
      & ( ~ hskp27
        | ~ c0_1(a1693) )
      & ( ~ hskp27
        | ndr1_0 )
      & ( ~ hskp26
        | ~ c2_1(a1691) )
      & ( ~ hskp26
        | ~ c1_1(a1691) )
      & ( ~ hskp26
        | ~ c3_1(a1691) )
      & ( ~ hskp26
        | ndr1_0 )
      & ( ~ hskp25
        | ~ c1_1(a1690) )
      & ( ~ hskp25
        | ~ c0_1(a1690) )
      & ( ~ hskp25
        | c2_1(a1690) )
      & ( ~ hskp25
        | ndr1_0 )
      & ( ~ hskp24
        | ~ c1_1(a1689) )
      & ( ~ hskp24
        | c3_1(a1689) )
      & ( ~ hskp24
        | ~ c0_1(a1689) )
      & ( ~ hskp24
        | ndr1_0 )
      & ( ~ hskp23
        | ~ c1_1(a1685) )
      & ( ~ hskp23
        | c2_1(a1685) )
      & ( ~ hskp23
        | ~ c0_1(a1685) )
      & ( ~ hskp23
        | ndr1_0 )
      & ( ~ hskp22
        | ~ c3_1(a1684) )
      & ( ~ hskp22
        | c2_1(a1684) )
      & ( ~ hskp22
        | ~ c0_1(a1684) )
      & ( ~ hskp22
        | ndr1_0 )
      & ( ~ hskp21
        | ~ c1_1(a1683) )
      & ( ~ hskp21
        | c2_1(a1683) )
      & ( ~ hskp21
        | c3_1(a1683) )
      & ( ~ hskp21
        | ndr1_0 )
      & ( ~ hskp20
        | ~ c3_1(a1682) )
      & ( ~ hskp20
        | ~ c1_1(a1682) )
      & ( ~ hskp20
        | ~ c2_1(a1682) )
      & ( ~ hskp20
        | ndr1_0 )
      & ( ~ hskp19
        | ~ c2_1(a1681) )
      & ( ~ hskp19
        | ~ c3_1(a1681) )
      & ( ~ hskp19
        | ~ c1_1(a1681) )
      & ( ~ hskp19
        | ndr1_0 )
      & ( ~ hskp18
        | ~ c0_1(a1680) )
      & ( ~ hskp18
        | ~ c1_1(a1680) )
      & ( ~ hskp18
        | ~ c3_1(a1680) )
      & ( ~ hskp18
        | ndr1_0 )
      & ( ~ hskp17
        | ~ c2_1(a1678) )
      & ( ~ hskp17
        | ~ c1_1(a1678) )
      & ( ~ hskp17
        | ~ c0_1(a1678) )
      & ( ~ hskp17
        | ndr1_0 )
      & ( ~ hskp16
        | ~ c1_1(a1677) )
      & ( ~ hskp16
        | ~ c2_1(a1677) )
      & ( ~ hskp16
        | ~ c0_1(a1677) )
      & ( ~ hskp16
        | ndr1_0 )
      & ( ~ hskp15
        | ~ c0_1(a1672) )
      & ( ~ hskp15
        | c1_1(a1672) )
      & ( ~ hskp15
        | c3_1(a1672) )
      & ( ~ hskp15
        | ndr1_0 )
      & ( ~ hskp14
        | ~ c3_1(a1671) )
      & ( ~ hskp14
        | ~ c1_1(a1671) )
      & ( ~ hskp14
        | c2_1(a1671) )
      & ( ~ hskp14
        | ndr1_0 )
      & ( ~ hskp13
        | ~ c1_1(a1667) )
      & ( ~ hskp13
        | c3_1(a1667) )
      & ( ~ hskp13
        | c0_1(a1667) )
      & ( ~ hskp13
        | ndr1_0 )
      & ( ~ hskp12
        | ~ c1_1(a1666) )
      & ( ~ hskp12
        | c3_1(a1666) )
      & ( ~ hskp12
        | c2_1(a1666) )
      & ( ~ hskp12
        | ndr1_0 )
      & ( ~ hskp11
        | ~ c1_1(a1664) )
      & ( ~ hskp11
        | ~ c2_1(a1664) )
      & ( ~ hskp11
        | ~ c3_1(a1664) )
      & ( ~ hskp11
        | ndr1_0 )
      & ( ~ hskp10
        | ~ c0_1(a1663) )
      & ( ~ hskp10
        | ~ c3_1(a1663) )
      & ( ~ hskp10
        | ~ c2_1(a1663) )
      & ( ~ hskp10
        | ndr1_0 )
      & ( ~ hskp9
        | ~ c1_1(a1660) )
      & ( ~ hskp9
        | ~ c0_1(a1660) )
      & ( ~ hskp9
        | ~ c3_1(a1660) )
      & ( ~ hskp9
        | ndr1_0 )
      & ( ~ hskp8
        | ~ c0_1(a1657) )
      & ( ~ hskp8
        | ~ c1_1(a1657) )
      & ( ~ hskp8
        | c2_1(a1657) )
      & ( ~ hskp8
        | ndr1_0 )
      & ( ~ hskp7
        | ~ c2_1(a1655) )
      & ( ~ hskp7
        | c0_1(a1655) )
      & ( ~ hskp7
        | c3_1(a1655) )
      & ( ~ hskp7
        | ndr1_0 )
      & ( ~ hskp6
        | ~ c3_1(a1650) )
      & ( ~ hskp6
        | ~ c2_1(a1650) )
      & ( ~ hskp6
        | ~ c1_1(a1650) )
      & ( ~ hskp6
        | ndr1_0 )
      & ( ~ hskp5
        | ~ c0_1(a1648) )
      & ( ~ hskp5
        | ~ c1_1(a1648) )
      & ( ~ hskp5
        | c3_1(a1648) )
      & ( ~ hskp5
        | ndr1_0 )
      & ( ~ hskp4
        | ~ c2_1(a1647) )
      & ( ~ hskp4
        | ~ c0_1(a1647) )
      & ( ~ hskp4
        | c1_1(a1647) )
      & ( ~ hskp4
        | ndr1_0 )
      & ( ~ hskp3
        | ~ c2_1(a1646) )
      & ( ~ hskp3
        | ~ c1_1(a1646) )
      & ( ~ hskp3
        | c0_1(a1646) )
      & ( ~ hskp3
        | ndr1_0 )
      & ( ~ hskp2
        | ~ c3_1(a1645) )
      & ( ~ hskp2
        | ~ c0_1(a1645) )
      & ( ~ hskp2
        | ~ c1_1(a1645) )
      & ( ~ hskp2
        | ndr1_0 )
      & ( ~ hskp1
        | ~ c2_1(a1643) )
      & ( ~ hskp1
        | c3_1(a1643) )
      & ( ~ hskp1
        | ~ c1_1(a1643) )
      & ( ~ hskp1
        | ndr1_0 )
      & ( ~ hskp0
        | ~ c2_1(a1637) )
      & ( ~ hskp0
        | c0_1(a1637) )
      & ( ~ hskp0
        | c1_1(a1637) )
      & ( ~ hskp0
        | ndr1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

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

cnf(c_0_5,negated_conjecture,
    ( hskp3
    | hskp2
    | hskp47 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ hskp47
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_8,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp73
        | c0_1(X1) ) ),
    introduced(definition) ).

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

fof(c_0_10,plain,
    ( ~ epred15_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ( ~ epred48_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_13,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_14,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_15,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | hskp39
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_16,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp13
    | hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_17,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp57
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_18,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp38
    | hskp74 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_19,plain,
    ( ~ epred45_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_20,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | hskp73
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9])]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred15_0 ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

fof(c_0_22,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_23,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_24,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp75
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_25,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp46
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_26,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp69
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_27,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_28,negated_conjecture,
    ( ~ hskp66
    | ~ c2_1(a1692) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred48_0 ),
    inference(split_equiv,[status(thm)],[c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ hskp66
    | c0_1(a1692) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ hskp66
    | ~ c1_1(a1692) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_32,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred44_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_12]),c_0_9])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ hskp39
    | ~ c1_1(a1721) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_13]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ hskp39
    | c3_1(a1721) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_36,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_14]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ hskp39
    | ~ c0_1(a1721) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ hskp57
    | ~ c1_1(a1665) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ hskp57
    | c3_1(a1665) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp39
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_15]),c_0_9])]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ hskp57
    | c0_1(a1665) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp12
    | hskp13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_9])]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1666) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ hskp12
    | c2_1(a1666) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ hskp12
    | c3_1(a1666) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp57
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_17]),c_0_9])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ hskp45
    | c2_1(a1641) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ hskp45
    | ~ c1_1(a1641) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ hskp45
    | ~ c3_1(a1641) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ hskp43
    | ~ c1_1(a1639) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ hskp43
    | c2_1(a1639) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_52,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_53,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp38
    | hskp74 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_9])]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_19]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ hskp73
    | c2_1(a1716) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ hskp73
    | c0_1(a1716) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ hskp73
    | ~ c3_1(a1716) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | hskp73
    | epred15_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ hskp54
    | c3_1(a1658) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ hskp54
    | ~ c0_1(a1658) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred20_0 ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_23]) ).

fof(c_0_63,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_64,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_65,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp75
    | epred26_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_24]),c_0_9])]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ hskp70
    | c1_1(a1710) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ hskp70
    | ~ c3_1(a1710) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp46
    | epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_25]),c_0_9])]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ hskp70
    | ~ c0_1(a1710) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_70,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( ~ ndr1_0
        | hskp70
        | c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_71,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp69
    | epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_26]),c_0_9])]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred41_0 ),
    inference(split_equiv,[status(thm)],[c_0_27]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ c3_1(a1692)
    | ~ hskp66
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ hskp66
    | c3_1(a1692)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_28]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1667) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ hskp13
    | c3_1(a1667) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ hskp13
    | c0_1(a1667) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ c2_1(a1721)
    | ~ hskp39
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp39
    | c2_1(a1721)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_37]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ c2_1(a1665)
    | ~ hskp57
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_39]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ hskp57
    | c2_1(a1665)
    | hskp39
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_41]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp12
    | hskp13
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_34]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ hskp44
    | c2_1(a1640) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ hskp44
    | c3_1(a1640) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ hskp12
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_34]),c_0_44]),c_0_45]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ hskp45
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).

cnf(c_0_87,negated_conjecture,
    ( hskp45
    | hskp44
    | hskp43 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ c3_1(a1639)
    | ~ hskp43
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_51]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ hskp43
    | c3_1(a1639)
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_51]),c_0_50]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_52]) ).

fof(c_0_91,plain,
    ( ~ epred50_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_92,negated_conjecture,
    ( ~ hskp38
    | c3_1(a1718) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ hskp38
    | ~ c0_1(a1718) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ hskp74
    | c2_1(a1717) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ hskp74
    | c0_1(a1717) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ hskp74
    | ~ c3_1(a1717) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp38
    | hskp74
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_29]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1657) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1657) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ hskp8
    | c2_1(a1657) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ hskp73
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ hskp54
    | hskp73
    | epred15_0
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ hskp53
    | c2_1(a1656) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ hskp53
    | c0_1(a1656) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ hskp53
    | ~ c3_1(a1656) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_106,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | hskp60
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_107,negated_conjecture,
    ( ~ c3_1(a1692)
    | ~ hskp66
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_61]),c_0_30]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ hskp66
    | c3_1(a1692)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_62]),c_0_30]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_63]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred47_0 ),
    inference(split_equiv,[status(thm)],[c_0_64]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ ndr1_0
    | hskp71
    | hskp36
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_112,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp75
    | ~ c2_1(a1724) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp75
    | c0_1(a1724) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp75
    | c3_1(a1724) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ c2_1(a1710)
    | ~ hskp70
    | hskp75
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ hskp70
    | c2_1(a1710)
    | hskp46
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_69]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a1691) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a1691) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_120,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp70
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_70]),c_0_9])]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a1691) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ hskp70
    | c2_1(a1710)
    | hskp69
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_66]),c_0_67]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | epred41_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_29]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp69
    | c0_1(a1709) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp69
    | c3_1(a1709) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a1693) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_127,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp69
    | epred16_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_71,c_0_32]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a1693) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1694) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a1694) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp28
    | ~ c3_1(a1694) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp66
    | epred44_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_133,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp66 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_134,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp29
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_135,plain,
    ( ~ epred17_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | hskp2
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_136,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_137,plain,
    ( ~ epred46_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_138,plain,
    ( ~ epred7_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | hskp21
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_139,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_140,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_141,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp49
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_142,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c3_1(X1)
        | hskp1
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_143,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp42
    | c3_1(X1)
    | hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp7
    | c3_1(X1)
    | hskp52 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp20
    | c3_1(X1)
    | hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ c2_1(a1667)
    | ~ hskp13
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_34]),c_0_76]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1667)
    | hskp39
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_76]),c_0_77]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp39
    | epred4_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp57
    | hskp39
    | epred30_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp44
    | hskp13
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]) ).

cnf(c_0_151,negated_conjecture,
    ( hskp43
    | hskp44
    | hskp57
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp43
    | hskp57
    | epred13_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1667)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_90]),c_0_77]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ hskp52
    | c2_1(a1654) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ hskp52
    | c3_1(a1654) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_91]),c_0_9])]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp52
    | c0_1(a1654) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp38
    | hskp73
    | epred15_0
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_92]),c_0_93]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp74
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_94]),c_0_95]),c_0_96]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp57
    | hskp38
    | hskp74
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_41]),c_0_39]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ c3_1(a1657)
    | ~ hskp8
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_21]),c_0_99]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp8
    | c3_1(a1657)
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_100]),c_0_98]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp54
    | epred15_0
    | epred35_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_164,negated_conjecture,
    ( hskp54
    | hskp8
    | hskp53 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp53
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_103]),c_0_104]),c_0_105]) ).

fof(c_0_166,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp13
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_167,negated_conjecture,
    ( ~ hskp69
    | ~ c1_1(a1709) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp60
    | epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_106]),c_0_9])]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp66
    | epred20_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_107,c_0_74]) ).

fof(c_0_170,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp66
    | epred10_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_73,c_0_108]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1672) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | epred23_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp15
    | c3_1(a1672) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_175,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ ndr1_0
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp71
    | ~ c2_1(a1713) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp71
    | c0_1(a1713) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp71
    | c3_1(a1713) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp36
    | hskp71 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_9])]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp36
    | ~ c1_1(a1712) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp36
    | ~ c0_1(a1712) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ hskp36
    | ~ c2_1(a1712) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_183,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_184,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | epred32_0 ),
    inference(split_equiv,[status(thm)],[c_0_112]) ).

fof(c_0_185,plain,
    ( ~ epred8_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp75
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_29]),c_0_114]),c_0_115]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp70
    | hskp46
    | hskp75
    | epred22_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ c0_1(a1691)
    | ~ hskp26
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_90]),c_0_119]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1691)
    | hskp70
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp70
    | hskp69
    | hskp75
    | epred16_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_122]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a1693) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp69
    | epred41_0
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp27
    | hskp69
    | epred16_0
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp28
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_129]),c_0_130]),c_0_131]) ).

cnf(c_0_195,negated_conjecture,
    ( hskp27
    | hskp28
    | epred44_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp29
    | epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_134]),c_0_9])]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp17
    | hskp16
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp2
    | epred17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_135]),c_0_9])]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp3
    | c0_1(a1646) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a1646) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp48
    | c0_1(a1649) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp48
    | ~ c3_1(a1649) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1695) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp29
    | ~ c3_1(a1695) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_205,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_206,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1677) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_207,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_136]),c_0_9])]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a1677) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred46_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_137]),c_0_9])]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp21
    | epred7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_9])]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred18_0 ),
    inference(split_equiv,[status(thm)],[c_0_139]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a1645) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a1645) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp6
    | hskp48
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1646) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp57
    | hskp11
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a1677) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_218,plain,
    ( ~ epred33_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | hskp47
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_219,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_140]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp49
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_9])]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1637) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1637) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_223,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_9])]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp18
    | hskp60 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a1645) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a1680) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a1680) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp0
    | c3_1(X1)
    | hskp42 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_9])]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp52 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_9])]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | hskp19
    | hskp20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_9])]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ ndr1_0
    | hskp10
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp56 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ ndr1_0
    | hskp72
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp37 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp59
    | hskp58 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp33
    | hskp61
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_235,plain,
    ( ~ epred40_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ ndr1_0
        | hskp26
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp13
    | hskp39
    | epred30_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp57
    | epred4_0
    | epred30_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_238,negated_conjecture,
    ( hskp13
    | hskp57
    | epred13_0
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp13
    | epred2_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_146,c_0_153]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp52
    | hskp13
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_154]),c_0_155]),c_0_85]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp13
    | c2_1(a1667)
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_156]),c_0_76]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ hskp52
    | hskp38
    | hskp74
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_157]),c_0_155]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp38
    | epred15_0
    | epred35_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_101,c_0_158]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ hskp57
    | hskp38
    | epred45_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp8
    | hskp57
    | epred13_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_246,negated_conjecture,
    ( hskp8
    | epred15_0
    | epred35_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp13
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_9])]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp69
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_61]),c_0_124]),c_0_125]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp28
    | hskp60
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_129]),c_0_130]),c_0_131]) ).

cnf(c_0_250,negated_conjecture,
    ( hskp27
    | hskp28
    | epred20_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_169,c_0_133]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred27_0 ),
    inference(split_equiv,[status(thm)],[c_0_170]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1695) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ hskp47
    | c3_1(a1644) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp47
    | ~ c1_1(a1644) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp47
    | ~ c0_1(a1644) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_256,negated_conjecture,
    ( hskp27
    | hskp28
    | epred10_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_171,c_0_133]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp66
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_90]),c_0_30]),c_0_28]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp14
    | c2_1(a1671) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a1671) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1671) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp15
    | epred23_0
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).

cnf(c_0_262,negated_conjecture,
    ( hskp15
    | hskp14
    | hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp43
    | c0_1(a1639) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred52_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_9])]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1678) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1678) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1678) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp0
    | c1_1(a1637) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a1643) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp1
    | c3_1(a1643) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1643) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp56
    | ~ c2_1(a1662) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp56
    | c0_1(a1662) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ hskp71
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_29]),c_0_177]),c_0_178]) ).

cnf(c_0_275,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp36
    | hskp71
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_36]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp36
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_36]),c_0_181]),c_0_182]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp52
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_154]),c_0_157]),c_0_155]) ).

cnf(c_0_278,negated_conjecture,
    ( hskp53
    | hskp52
    | hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp60
    | ~ c1_1(a1673) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp60
    | c3_1(a1673) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp60
    | c2_1(a1673) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_183]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1650) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a1650) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1650) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1664) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1664) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a1664) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1681) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1681) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1681) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1682) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a1682) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1682) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | epred20_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_61]) ).

cnf(c_0_296,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | epred8_0 ),
    inference(split_equiv,[status(thm)],[c_0_185]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c1_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X3)
    | c2_1(X3)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ ndr1_0
    | c3_1(X3)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp13
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_305,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c0_1(X1)
    | hskp73 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c3_1(X2)
    | hskp47 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | hskp39 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | hskp75
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | hskp46
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp29
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | hskp69 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | hskp60 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | hskp57
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_315,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | hskp21
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | hskp70 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp49
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | hskp1
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ hskp70
    | hskp46
    | epred22_0
    | epred26_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ hskp26
    | hskp70
    | epred2_0
    | epred5_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ hskp70
    | hskp69
    | epred16_0
    | epred26_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_190]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ hskp27
    | hskp70
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_120]),c_0_191]),c_0_128]) ).

cnf(c_0_323,negated_conjecture,
    ( ~ hskp27
    | epred16_0
    | epred41_0
    | epred44_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_324,negated_conjecture,
    ( hskp27
    | hskp57
    | epred13_0
    | epred44_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ hskp38
    | c1_1(a1718)
    | hskp29
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_92]),c_0_93]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | hskp16
    | hskp17 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_9])]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1646)
    | hskp2
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp48
    | c1_1(a1649)
    | hskp2
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_201]),c_0_202]) ).

cnf(c_0_329,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp60
    | hskp70
    | epred5_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_120]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ hskp29
    | c1_1(a1695)
    | hskp60
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_203]),c_0_204]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred49_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_205]),c_0_9])]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp53
    | c1_1(a1656)
    | hskp60
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_103]),c_0_105]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ hskp53
    | c1_1(a1656)
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_103]),c_0_105]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp73
    | c1_1(a1716)
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_55]),c_0_57]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ hskp74
    | c1_1(a1717)
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_94]),c_0_96]) ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp16
    | c3_1(a1677)
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1646)
    | epred46_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_209]),c_0_199]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1663) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_339,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp21
    | epred4_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_210,c_0_36]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ hskp48
    | ~ c2_1(a1649) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred18_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_211,c_0_32]) ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp2
    | c2_1(a1645)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_32]),c_0_213]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp6
    | hskp48 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_9])]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1646)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_32]),c_0_215]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp11
    | hskp57 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_9])]) ).

cnf(c_0_346,negated_conjecture,
    ( ~ hskp16
    | c3_1(a1677)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_32]),c_0_206]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp47
    | epred33_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_218]),c_0_9])]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred32_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_34]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred29_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_184,c_0_219]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ c2_1(a1665)
    | ~ hskp57
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_219]),c_0_41]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp49
    | epred3_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_220,c_0_21]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1637)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_62]),c_0_222]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp3
    | c3_1(a1646)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_62]),c_0_199]) ).

cnf(c_0_354,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1691)
    | hskp1
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_223]),c_0_121]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp18
    | hskp60 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_9])]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp2
    | c2_1(a1645)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_36]),c_0_225]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp18
    | c2_1(a1680)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_36]),c_0_227]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ hskp26
    | c0_1(a1691)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_36]),c_0_119]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ c0_1(X1)
    | hskp0
    | c3_1(X1)
    | hskp42
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_228,c_0_62]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | hskp7
    | hskp52
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_229,c_0_62]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | hskp19
    | hskp20
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_230,c_0_209]) ).

cnf(c_0_362,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp10
    | hskp56 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_9])]) ).

cnf(c_0_363,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp37
    | hskp72 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_9])]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ hskp49
    | c1_1(a1651) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp58
    | hskp59 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_9])]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp7
    | c3_1(a1655) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ hskp61
    | c3_1(a1674) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp42
    | c1_1(a1638) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp33
    | hskp61 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_9])]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp44
    | c1_1(a1640) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | hskp26
    | epred40_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_235]),c_0_9])]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp72
    | c1_1(a1715) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp15
    | c1_1(a1672) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp13
    | epred4_0
    | epred30_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_148,c_0_236]) ).

cnf(c_0_375,negated_conjecture,
    ( hskp13
    | epred4_0
    | epred13_0
    | epred30_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp52
    | epred2_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp13
    | epred36_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_146,c_0_241]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp52
    | hskp38
    | epred45_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_159,c_0_242]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp57
    | epred15_0
    | epred35_0
    | epred45_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_380,negated_conjecture,
    ( hskp57
    | epred13_0
    | epred15_0
    | epred35_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | hskp13
    | epred39_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_156]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp38
    | ~ c2_1(a1718) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ hskp27
    | epred16_0
    | epred20_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_248,c_0_193]) ).

cnf(c_0_384,negated_conjecture,
    ( hskp27
    | hskp60
    | epred14_0
    | epred20_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | hskp13
    | epred27_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_251]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ hskp29
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_203]),c_0_252]),c_0_204]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp47
    | hskp29
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_253]),c_0_254]),c_0_255]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp58
    | c3_1(a1668) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ hskp58
    | ~ c1_1(a1668) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ hskp58
    | ~ c0_1(a1668) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ c3_1(a1646)
    | ~ hskp3
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_29]),c_0_199]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp27
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_207]),c_0_191]),c_0_128]) ).

cnf(c_0_393,negated_conjecture,
    ( hskp27
    | hskp60
    | epred10_0
    | epred14_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_256]) ).

cnf(c_0_394,negated_conjecture,
    ( hskp27
    | hskp28
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_257,c_0_133]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp45
    | hskp60
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_47]),c_0_48]),c_0_49]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ hskp14
    | hskp57
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_258]),c_0_259]),c_0_260]) ).

cnf(c_0_397,negated_conjecture,
    ( hskp10
    | hskp14
    | epred23_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ c3_1(a1639)
    | ~ hskp43
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_61]),c_0_263]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp57
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_61]),c_0_41]),c_0_39]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ c3_1(a1677)
    | ~ hskp16
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_264]),c_0_208]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ c3_1(a1678)
    | ~ hskp17
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_264]),c_0_266]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1678)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_32]),c_0_265]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp33
    | ~ c2_1(a1704) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ hskp33
    | c3_1(a1704) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ hskp33
    | ~ c0_1(a1704) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ hskp61
    | ~ c2_1(a1674) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ c3_1(a1677)
    | ~ hskp16
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_21]),c_0_208]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ c3_1(a1678)
    | ~ hskp17
    | epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_110]),c_0_266]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ c3_1(a1678)
    | ~ hskp17
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_251]),c_0_265]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ c3_1(a1678)
    | ~ hskp17
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_21]),c_0_266]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ c3_1(a1712)
    | ~ hskp36
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_21]),c_0_181]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp36
    | c3_1(a1712)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_32]),c_0_182]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1637)
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_29]),c_0_222]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1637)
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_268]),c_0_222]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ c0_1(a1643)
    | ~ hskp1
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_29]),c_0_270]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ hskp1
    | c0_1(a1643)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_36]),c_0_269]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a1655) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp7
    | c0_1(a1655) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp49
    | ~ c2_1(a1651) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp49
    | c3_1(a1651) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ c3_1(a1662)
    | ~ hskp56
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_29]),c_0_273]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ hskp56
    | c3_1(a1662)
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_62]),c_0_273]) ).

cnf(c_0_423,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | epred4_0
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a1663) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ hskp59
    | ~ c2_1(a1669) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ hskp59
    | c0_1(a1669) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ hskp59
    | c3_1(a1669) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_428,negated_conjecture,
    ( hskp29
    | hskp53
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ hskp43
    | c3_1(a1639)
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_263]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a1683) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp21
    | c2_1(a1683) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp21
    | c3_1(a1683) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ c2_1(a1644)
    | ~ hskp47
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_34]),c_0_253]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ hskp47
    | c2_1(a1644)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_36]),c_0_255]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp37
    | ~ c1_1(a1714) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ hskp37
    | c0_1(a1714) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp37
    | c2_1(a1714) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ c0_1(a1673)
    | ~ hskp60
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_61]),c_0_280]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp60
    | c0_1(a1673)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_281]),c_0_280]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ c0_1(a1666)
    | ~ hskp12
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_61]),c_0_45]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ hskp12
    | c0_1(a1666)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_282]),c_0_44]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ hskp60
    | c0_1(a1673)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_282]),c_0_281]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ hskp42
    | c0_1(a1638) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp42
    | ~ c3_1(a1638) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_445,negated_conjecture,
    ( ~ c0_1(a1650)
    | ~ hskp6
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_62]),c_0_284]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ hskp6
    | c0_1(a1650)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_36]),c_0_283]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ c0_1(a1664)
    | ~ hskp11
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_62]),c_0_287]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ hskp11
    | c0_1(a1664)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_36]),c_0_286]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ c0_1(a1681)
    | ~ hskp19
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_62]),c_0_290]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ hskp19
    | c0_1(a1681)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_36]),c_0_289]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ c0_1(a1682)
    | ~ hskp20
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_62]),c_0_293]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ hskp20
    | c0_1(a1682)
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_36]),c_0_292]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ c0_1(a1691)
    | ~ hskp26
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_62]),c_0_121]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ hskp3
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_90]),c_0_199]),c_0_215]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ hskp46
    | ~ c1_1(a1642) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ hskp46
    | c0_1(a1642) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ hskp46
    | ~ c2_1(a1642) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ hskp52
    | epred20_0
    | epred32_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_157]),c_0_155]) ).

cnf(c_0_459,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | epred4_0
    | epred8_0 ),
    inference(spm,[status(thm)],[c_0_296,c_0_36]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_297]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_298]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X3) ),
    inference(cn,[status(thm)],[c_0_299]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X3)
    | c1_1(X2)
    | c1_1(X3) ),
    inference(cn,[status(thm)],[c_0_300]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_301]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_302]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp26 ),
    inference(cn,[status(thm)],[c_0_303]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp13 ),
    inference(cn,[status(thm)],[c_0_304]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X2)
    | hskp73 ),
    inference(cn,[status(thm)],[c_0_305]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | hskp47 ),
    inference(cn,[status(thm)],[c_0_306]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | hskp39 ),
    inference(cn,[status(thm)],[c_0_307]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp75 ),
    inference(cn,[status(thm)],[c_0_308]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | hskp46 ),
    inference(cn,[status(thm)],[c_0_309]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp29 ),
    inference(cn,[status(thm)],[c_0_310]) ).

cnf(c_0_474,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | hskp2 ),
    inference(cn,[status(thm)],[c_0_311]) ).

cnf(c_0_475,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp69 ),
    inference(cn,[status(thm)],[c_0_312]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp60 ),
    inference(cn,[status(thm)],[c_0_313]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | hskp57 ),
    inference(cn,[status(thm)],[c_0_314]) ).

cnf(c_0_478,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp21 ),
    inference(cn,[status(thm)],[c_0_315]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | hskp70 ),
    inference(cn,[status(thm)],[c_0_316]) ).

cnf(c_0_480,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp49 ),
    inference(cn,[status(thm)],[c_0_317]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | hskp1 ),
    inference(cn,[status(thm)],[c_0_318]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ hskp26
    | epred2_0
    | epred5_0
    | hskp46
    | epred22_0
    | epred26_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_483,negated_conjecture,
    ( ~ hskp27
    | epred5_0
    | hskp69
    | epred16_0
    | epred26_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_484,negated_conjecture,
    ( hskp57
    | epred13_0
    | epred16_0
    | epred41_0
    | epred44_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_323,c_0_324]) ).

cnf(c_0_485,negated_conjecture,
    ( ~ hskp38
    | ~ c3_1(a1718)
    | hskp29
    | epred19_0
    | c0_1(a1718)
    | hskp73
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_20,c_0_325]) ).

cnf(c_0_486,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1646)
    | hskp2
    | epred17_0
    | c1_1(a1646)
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

cnf(c_0_487,negated_conjecture,
    ( ~ hskp48
    | ~ c0_1(a1649)
    | hskp2
    | epred17_0
    | c3_1(a1649)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_230,c_0_328]) ).

cnf(c_0_488,negated_conjecture,
    ( ~ hskp2
    | c0_1(a1645)
    | c3_1(a1645)
    | hskp60
    | hskp70
    | epred5_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_329]) ).

cnf(c_0_489,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a1695)
    | hskp60
    | epred14_0
    | c3_1(a1695)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_230,c_0_330]) ).

cnf(c_0_490,negated_conjecture,
    ( ~ hskp29
    | ~ c2_1(a1695)
    | hskp60
    | epred14_0
    | c3_1(a1695)
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_331,c_0_330]) ).

cnf(c_0_491,negated_conjecture,
    ( ~ hskp53
    | ~ c2_1(a1656)
    | hskp60
    | epred14_0
    | c3_1(a1656)
    | hskp75
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_65,c_0_332]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ hskp53
    | ~ c0_1(a1656)
    | hskp57
    | epred13_0
    | c3_1(a1656)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_230,c_0_333]) ).

cnf(c_0_493,negated_conjecture,
    ( ~ hskp73
    | ~ c0_1(a1716)
    | hskp57
    | epred13_0
    | c3_1(a1716)
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_211,c_0_334]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ hskp74
    | ~ c0_1(a1717)
    | hskp57
    | epred13_0
    | c3_1(a1717)
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_211,c_0_335]) ).

cnf(c_0_495,negated_conjecture,
    ( ~ hskp16
    | epred51_0
    | c1_1(a1677)
    | c0_1(a1677)
    | hskp29
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_336]) ).

cnf(c_0_496,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1646)
    | epred46_0
    | c1_1(a1646)
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_326,c_0_337]) ).

cnf(c_0_497,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1663)
    | c3_1(a1663)
    | hskp21
    | epred4_0
    | epred7_0 ),
    inference(spm,[status(thm)],[c_0_338,c_0_339]) ).

cnf(c_0_498,negated_conjecture,
    ( ~ c0_1(a1649)
    | ~ hskp48
    | c3_1(a1649)
    | epred18_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_499,negated_conjecture,
    ( ~ hskp2
    | epred44_0
    | c1_1(a1645)
    | c3_1(a1645)
    | hskp60
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_342]) ).

cnf(c_0_500,negated_conjecture,
    ( ~ hskp2
    | epred44_0
    | c1_1(a1645)
    | c3_1(a1645)
    | hskp57
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_342]) ).

cnf(c_0_501,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1646)
    | epred44_0
    | c2_1(a1646)
    | hskp6
    | hskp48 ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_502,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1646)
    | epred44_0
    | c2_1(a1646)
    | hskp11
    | hskp57 ),
    inference(spm,[status(thm)],[c_0_345,c_0_344]) ).

cnf(c_0_503,negated_conjecture,
    ( ~ hskp16
    | epred44_0
    | c1_1(a1677)
    | c0_1(a1677)
    | hskp29
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_196,c_0_346]) ).

cnf(c_0_504,negated_conjecture,
    ( ~ hskp26
    | hskp70
    | epred5_0
    | c2_1(a1691)
    | c3_1(a1691)
    | hskp47
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_189]) ).

cnf(c_0_505,negated_conjecture,
    ( ~ hskp52
    | ~ c0_1(a1654)
    | ~ c3_1(a1654)
    | epred32_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_348,c_0_154]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ hskp52
    | ~ c0_1(a1654)
    | ~ c3_1(a1654)
    | epred29_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_349,c_0_154]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ c0_1(a1665)
    | ~ c3_1(a1665)
    | ~ hskp57
    | epred48_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_29]) ).

cnf(c_0_508,negated_conjecture,
    ( ~ hskp38
    | c0_1(a1718)
    | c2_1(a1718)
    | hskp49
    | epred3_0
    | epred15_0 ),
    inference(spm,[status(thm)],[c_0_351,c_0_92]) ).

cnf(c_0_509,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1637)
    | epred10_0
    | c2_1(a1637)
    | hskp6
    | hskp48 ),
    inference(spm,[status(thm)],[c_0_343,c_0_352]) ).

cnf(c_0_510,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1646)
    | epred10_0
    | c1_1(a1646)
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_326,c_0_353]) ).

cnf(c_0_511,negated_conjecture,
    ( ~ hskp26
    | hskp1
    | epred1_0
    | c1_1(a1691)
    | c3_1(a1691)
    | hskp2
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_354]) ).

cnf(c_0_512,negated_conjecture,
    ( ~ hskp2
    | epred4_0
    | c1_1(a1645)
    | c3_1(a1645)
    | hskp18
    | hskp60 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ hskp2
    | epred4_0
    | c1_1(a1645)
    | c3_1(a1645)
    | hskp60
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_356]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ hskp2
    | epred4_0
    | c1_1(a1645)
    | c3_1(a1645)
    | hskp57
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_356]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ hskp18
    | epred4_0
    | c1_1(a1680)
    | c3_1(a1680)
    | hskp57
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_357]) ).

cnf(c_0_516,negated_conjecture,
    ( ~ hskp26
    | epred4_0
    | c1_1(a1691)
    | c3_1(a1691)
    | hskp2
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_358]) ).

cnf(c_0_517,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1663)
    | hskp36
    | hskp71
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_338,c_0_275]) ).

cnf(c_0_518,negated_conjecture,
    ( ~ hskp53
    | hskp0
    | c3_1(a1656)
    | hskp42
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_359,c_0_104]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ hskp29
    | c3_1(a1695)
    | hskp7
    | hskp52
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_252]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ hskp53
    | c3_1(a1656)
    | hskp19
    | hskp20
    | epred46_0 ),
    inference(spm,[status(thm)],[c_0_361,c_0_104]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1693)
    | c3_1(a1693)
    | hskp10
    | hskp56 ),
    inference(spm,[status(thm)],[c_0_126,c_0_362]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1663)
    | c3_1(a1663)
    | hskp37
    | hskp72 ),
    inference(spm,[status(thm)],[c_0_338,c_0_363]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ hskp49
    | c0_1(a1651)
    | c2_1(a1651)
    | hskp36
    | hskp71 ),
    inference(spm,[status(thm)],[c_0_179,c_0_364]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ hskp3
    | c1_1(a1646)
    | c2_1(a1646)
    | hskp58
    | hskp59 ),
    inference(spm,[status(thm)],[c_0_365,c_0_199]) ).

cnf(c_0_525,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a1695)
    | hskp0
    | c3_1(a1695)
    | hskp42 ),
    inference(spm,[status(thm)],[c_0_228,c_0_203]) ).

cnf(c_0_526,negated_conjecture,
    ( ~ hskp53
    | ~ c0_1(a1656)
    | hskp0
    | c3_1(a1656)
    | hskp42 ),
    inference(spm,[status(thm)],[c_0_228,c_0_103]) ).

cnf(c_0_527,negated_conjecture,
    ( ~ hskp74
    | ~ c0_1(a1717)
    | hskp0
    | c3_1(a1717)
    | hskp42 ),
    inference(spm,[status(thm)],[c_0_228,c_0_94]) ).

cnf(c_0_528,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1655)
    | c2_1(a1655)
    | hskp6
    | hskp48 ),
    inference(spm,[status(thm)],[c_0_343,c_0_366]) ).

cnf(c_0_529,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a1695)
    | c3_1(a1695)
    | hskp7
    | hskp52 ),
    inference(spm,[status(thm)],[c_0_229,c_0_203]) ).

cnf(c_0_530,negated_conjecture,
    ( ~ hskp53
    | ~ c0_1(a1656)
    | c3_1(a1656)
    | hskp7
    | hskp52 ),
    inference(spm,[status(thm)],[c_0_229,c_0_103]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1655)
    | c2_1(a1655)
    | hskp11
    | hskp57 ),
    inference(spm,[status(thm)],[c_0_345,c_0_366]) ).

cnf(c_0_532,negated_conjecture,
    ( ~ hskp57
    | ~ c0_1(a1665)
    | c1_1(a1665)
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_326,c_0_39]) ).

cnf(c_0_533,negated_conjecture,
    ( ~ hskp61
    | ~ c0_1(a1674)
    | c1_1(a1674)
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_326,c_0_367]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ hskp42
    | ~ c0_1(a1638)
    | c3_1(a1638)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_230,c_0_368]) ).

cnf(c_0_535,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a1655)
    | c2_1(a1655)
    | hskp33
    | hskp61 ),
    inference(spm,[status(thm)],[c_0_369,c_0_366]) ).

cnf(c_0_536,negated_conjecture,
    ( ~ hskp71
    | ~ c0_1(a1713)
    | c2_1(a1713)
    | hskp33
    | hskp61 ),
    inference(spm,[status(thm)],[c_0_369,c_0_178]) ).

cnf(c_0_537,negated_conjecture,
    ( ~ hskp44
    | ~ c2_1(a1640)
    | ~ c3_1(a1640)
    | hskp12
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_42,c_0_370]) ).

cnf(c_0_538,negated_conjecture,
    ( ~ hskp52
    | ~ c0_1(a1654)
    | ~ c3_1(a1654)
    | hskp38
    | hskp74 ),
    inference(spm,[status(thm)],[c_0_53,c_0_154]) ).

cnf(c_0_539,negated_conjecture,
    ( ~ hskp47
    | ~ c2_1(a1644)
    | c1_1(a1644)
    | hskp26
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_253]) ).

cnf(c_0_540,negated_conjecture,
    ( ~ hskp60
    | ~ c2_1(a1673)
    | c1_1(a1673)
    | hskp26
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_371,c_0_280]) ).

cnf(c_0_541,negated_conjecture,
    ( ~ hskp72
    | ~ c3_1(a1715)
    | c2_1(a1715)
    | hskp13
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_372]) ).

cnf(c_0_542,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a1672)
    | c0_1(a1672)
    | hskp73
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_20,c_0_373]) ).

cnf(c_0_543,negated_conjecture,
    ( ~ hskp3
    | c2_1(a1646)
    | c3_1(a1646)
    | hskp47
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_347,c_0_199]) ).

cnf(c_0_544,negated_conjecture,
    ( epred4_0
    | epred13_0
    | epred30_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_545,negated_conjecture,
    ( hskp29
    | hskp53
    | epred2_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_376,c_0_278]) ).

cnf(c_0_546,negated_conjecture,
    ( ~ hskp52
    | epred36_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_377,c_0_240]) ).

cnf(c_0_547,negated_conjecture,
    ( ~ hskp52
    | epred15_0
    | epred35_0
    | epred45_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_243,c_0_378]) ).

cnf(c_0_548,negated_conjecture,
    ( epred13_0
    | epred15_0
    | epred35_0
    | epred45_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_379,c_0_380]) ).

cnf(c_0_549,negated_conjecture,
    ( ~ hskp38
    | hskp13
    | epred39_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_92]),c_0_382]) ).

cnf(c_0_550,negated_conjecture,
    ( hskp60
    | epred14_0
    | epred16_0
    | epred20_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_551,negated_conjecture,
    ( ~ hskp38
    | hskp13
    | epred27_0
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_92]),c_0_382]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ hskp47
    | epred19_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_553,negated_conjecture,
    ( ~ hskp58
    | hskp29
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_388]),c_0_389]),c_0_390]) ).

cnf(c_0_554,negated_conjecture,
    ( ~ hskp3
    | hskp2
    | epred17_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_391,c_0_327]) ).

cnf(c_0_555,negated_conjecture,
    ( hskp60
    | epred10_0
    | epred14_0
    | epred48_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_556,negated_conjecture,
    ( hskp27
    | hskp60
    | epred2_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_394]) ).

cnf(c_0_557,negated_conjecture,
    ( hskp43
    | hskp44
    | hskp60
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_395,c_0_87]) ).

cnf(c_0_558,negated_conjecture,
    ( hskp10
    | hskp57
    | epred13_0
    | epred23_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_559,negated_conjecture,
    ( ~ hskp43
    | epred13_0
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_89]),c_0_399]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ hskp16
    | epred44_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_400,c_0_346]) ).

cnf(c_0_561,negated_conjecture,
    ( ~ hskp17
    | epred44_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_562,negated_conjecture,
    ( ~ hskp33
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_264]),c_0_404]),c_0_405]) ).

cnf(c_0_563,negated_conjecture,
    ( ~ hskp38
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_264]),c_0_92]),c_0_93]) ).

cnf(c_0_564,negated_conjecture,
    ( ~ hskp61
    | c0_1(a1674)
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_264]),c_0_367]) ).

cnf(c_0_565,negated_conjecture,
    ( ~ hskp6
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_32]),c_0_283]),c_0_284]) ).

cnf(c_0_566,negated_conjecture,
    ( ~ hskp11
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_32]),c_0_286]),c_0_287]) ).

cnf(c_0_567,negated_conjecture,
    ( ~ hskp16
    | epred15_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_407,c_0_346]) ).

cnf(c_0_568,negated_conjecture,
    ( ~ hskp17
    | epred44_0
    | epred47_0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_402]) ).

cnf(c_0_569,negated_conjecture,
    ( ~ hskp17
    | epred27_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_409,c_0_402]) ).

cnf(c_0_570,negated_conjecture,
    ( ~ hskp17
    | epred15_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_410,c_0_402]) ).

cnf(c_0_571,negated_conjecture,
    ( ~ hskp19
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_32]),c_0_289]),c_0_290]) ).

cnf(c_0_572,negated_conjecture,
    ( ~ hskp20
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_32]),c_0_292]),c_0_293]) ).

cnf(c_0_573,negated_conjecture,
    ( ~ hskp26
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_32]),c_0_119]),c_0_121]) ).

cnf(c_0_574,negated_conjecture,
    ( ~ hskp36
    | epred15_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_411,c_0_412]) ).

cnf(c_0_575,negated_conjecture,
    ( ~ hskp0
    | epred18_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

cnf(c_0_576,negated_conjecture,
    ( ~ hskp0
    | epred10_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_413,c_0_352]) ).

cnf(c_0_577,negated_conjecture,
    ( ~ hskp1
    | epred4_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_415,c_0_416]) ).

cnf(c_0_578,negated_conjecture,
    ( ~ hskp7
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_29]),c_0_418]),c_0_366]) ).

cnf(c_0_579,negated_conjecture,
    ( ~ c0_1(a1651)
    | ~ hskp49
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_29]),c_0_420]) ).

cnf(c_0_580,negated_conjecture,
    ( ~ hskp56
    | epred10_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ hskp10
    | epred4_0
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_423]),c_0_424]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ hskp59
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_29]),c_0_426]),c_0_427]) ).

cnf(c_0_583,negated_conjecture,
    ( ~ hskp38
    | epred4_0
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_423]),c_0_93]) ).

cnf(c_0_584,negated_conjecture,
    ( epred41_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_428]),c_0_165]) ).

cnf(c_0_585,negated_conjecture,
    ( ~ hskp43
    | epred20_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_398,c_0_429]) ).

cnf(c_0_586,negated_conjecture,
    ( ~ hskp21
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_34]),c_0_431]),c_0_432]) ).

cnf(c_0_587,negated_conjecture,
    ( ~ hskp47
    | epred4_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_433,c_0_434]) ).

cnf(c_0_588,negated_conjecture,
    ( ~ hskp60
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_34]),c_0_281]),c_0_280]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ hskp37
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_219]),c_0_436]),c_0_437]) ).

cnf(c_0_590,negated_conjecture,
    ( ~ hskp60
    | epred20_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_591,negated_conjecture,
    ( ~ hskp12
    | epred6_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_440,c_0_441]) ).

cnf(c_0_592,negated_conjecture,
    ( ~ hskp13
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_61]),c_0_77]),c_0_76]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ hskp60
    | epred6_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_438,c_0_442]) ).

cnf(c_0_594,negated_conjecture,
    ( ~ hskp42
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_368]),c_0_443]),c_0_444]) ).

cnf(c_0_595,negated_conjecture,
    ( ~ hskp47
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_21]),c_0_253]),c_0_255]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ hskp6
    | epred4_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_597,negated_conjecture,
    ( ~ hskp11
    | epred4_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ hskp19
    | epred4_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ hskp20
    | epred4_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_451,c_0_452]) ).

cnf(c_0_600,negated_conjecture,
    ( ~ hskp26
    | epred4_0
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_453,c_0_358]) ).

cnf(c_0_601,negated_conjecture,
    ( ~ hskp48
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_62]),c_0_201]),c_0_202]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ hskp16
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_36]),c_0_208]),c_0_206]) ).

cnf(c_0_603,negated_conjecture,
    ( ~ hskp17
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_36]),c_0_266]),c_0_265]) ).

cnf(c_0_604,negated_conjecture,
    ( ~ hskp26
    | epred2_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_358]) ).

cnf(c_0_605,negated_conjecture,
    ( hskp2
    | hskp47
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_454,c_0_5]) ).

cnf(c_0_606,negated_conjecture,
    ( ~ hskp46
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_90]),c_0_456]),c_0_457]) ).

cnf(c_0_607,negated_conjecture,
    ( ~ hskp57
    | epred41_0
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_41]),c_0_39]) ).

cnf(c_0_608,negated_conjecture,
    ( hskp29
    | hskp53
    | epred20_0
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_458,c_0_278]) ).

cnf(c_0_609,negated_conjecture,
    ( ~ hskp10
    | epred4_0
    | epred8_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_459]),c_0_424]) ).

cnf(c_0_610,negated_conjecture,
    ( ~ epred36_0
    | ~ epred48_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_460,c_0_175]),c_0_11]),c_0_13]) ).

cnf(c_0_611,negated_conjecture,
    ( ~ epred29_0
    | ~ epred41_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_136]),c_0_140]),c_0_27]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ epred2_0
    | ~ epred32_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_91]),c_0_52]),c_0_112]) ).

cnf(c_0_613,negated_conjecture,
    ( ~ epred15_0
    | ~ epred20_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_205]),c_0_10]),c_0_22]) ).

cnf(c_0_614,negated_conjecture,
    ( ~ epred46_0
    | ~ epred47_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_137]),c_0_64]),c_0_11]) ).

cnf(c_0_615,negated_conjecture,
    ( ~ epred4_0
    | ~ epred44_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_12]),c_0_19]),c_0_14]) ).

cnf(c_0_616,negated_conjecture,
    ( ~ epred40_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_235]),c_0_27]) ).

cnf(c_0_617,negated_conjecture,
    ( ~ epred32_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_166]),c_0_112]) ).

cnf(c_0_618,negated_conjecture,
    ( ~ epred35_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_8]),c_0_13]) ).

cnf(c_0_619,negated_conjecture,
    ( ~ epred32_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_218]),c_0_112]) ).

cnf(c_0_620,negated_conjecture,
    ( ~ epred23_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_15]),c_0_63]) ).

cnf(c_0_621,negated_conjecture,
    ( ~ epred26_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_24]),c_0_170]) ).

cnf(c_0_622,negated_conjecture,
    ( ~ epred22_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_25]),c_0_63]) ).

cnf(c_0_623,negated_conjecture,
    ( ~ epred19_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_473,c_0_134]),c_0_22]) ).

cnf(c_0_624,negated_conjecture,
    ( ~ epred17_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_135]),c_0_139]) ).

cnf(c_0_625,negated_conjecture,
    ( ~ epred15_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_475,c_0_26]),c_0_10]) ).

cnf(c_0_626,negated_conjecture,
    ( ~ epred14_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_106]),c_0_10]) ).

cnf(c_0_627,negated_conjecture,
    ( ~ epred10_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_17]),c_0_23]) ).

cnf(c_0_628,negated_conjecture,
    ( ~ epred7_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_138]),c_0_185]) ).

cnf(c_0_629,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_70]),c_0_183]) ).

cnf(c_0_630,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_141]),c_0_14]) ).

cnf(c_0_631,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_142]),c_0_52]) ).

cnf(c_0_632,negated_conjecture,
    ( ~ hskp72
    | ~ c2_1(a1715) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_633,negated_conjecture,
    ( ~ hskp61
    | ~ c1_1(a1674) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_634,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a1680) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_635,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1663) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_636,negated_conjecture,
    ( ~ hskp72
    | c3_1(a1715) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_637,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_376,c_0_547,c_0_378,c_0_548,c_0_549,c_0_321,c_0_550,c_0_551,c_0_552,c_0_387,c_0_553,c_0_554,c_0_555,c_0_393,c_0_556,c_0_557,c_0_558,c_0_396,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_391,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_274,c_0_186,c_0_584,c_0_386,c_0_585,c_0_165,c_0_101,c_0_159,c_0_428,c_0_277,c_0_586,c_0_587,c_0_588,c_0_589,c_0_590,c_0_591,c_0_592,c_0_399,c_0_593,c_0_248,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_276,c_0_434,c_0_605,c_0_606,c_0_607,c_0_608,c_0_458,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_625,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_96,c_0_57,c_0_632,c_0_176,c_0_633,c_0_279,c_0_38,c_0_105,c_0_419,c_0_202,c_0_254,c_0_444,c_0_382,c_0_93,c_0_204,c_0_128,c_0_191,c_0_121,c_0_119,c_0_118,c_0_634,c_0_226,c_0_208,c_0_217,c_0_172,c_0_635,c_0_424,c_0_417,c_0_215,c_0_200,c_0_213,c_0_225,c_0_212,c_0_221,c_0_636,c_0_39,c_0_155,c_0_84,c_0_92,c_0_174,c_0_281,c_0_103,c_0_83,c_0_203,c_0_95,c_0_56,c_0_177,c_0_41,c_0_104,c_0_157,c_0_201,c_0_443,c_0_252,c_0_418,c_0_199,c_0_222,c_0_278,c_0_262,c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN457+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  % Computer : n003.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Mon Sep 21 11:00:16 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 21.76/3.76  % Version: 3.5.1
% 21.76/3.76  % Preprocessing class: FSLMSLSMSSSNFFN.
% 21.76/3.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.76/3.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 21.76/3.76  % Starting new_bool_3 with 600s (2) cores
% 21.76/3.76  % Starting new_bool_1 with 600s (2) cores
% 21.76/3.76  % Starting sh5l with 300s (1) cores
% 21.76/3.76  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4122778 completed with status 0
% 21.76/3.76  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 21.76/3.76  % Preprocessing class: FSLMSLSMSSSNFFN.
% 21.76/3.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.76/3.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 21.76/3.76  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.76/3.76  % No SInE strategy applied
% 21.76/3.76  % Search class: FGHNF-FSLM00-SFFFFFNN
% 21.76/3.76  % Scheduled 8 strats onto 3 cores with 900 seconds (900 total)
% 21.76/3.76  % Starting SubtermCWHack with 82s (1) cores
% 21.76/3.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 91s (1) cores
% 21.76/3.76  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 82s (1) cores
% 21.76/3.76  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4122783 completed with status 0
% 21.76/3.76  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 21.76/3.76  % Preprocessing class: FSLMSLSMSSSNFFN.
% 21.76/3.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.76/3.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 21.76/3.76  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.76/3.76  % No SInE strategy applied
% 21.76/3.76  % Search class: FGHNF-FSLM00-SFFFFFNN
% 21.76/3.76  % Scheduled 8 strats onto 3 cores with 900 seconds (900 total)
% 21.76/3.76  % Starting SubtermCWHack with 82s (1) cores
% 21.76/3.76  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 91s (1) cores
% 21.76/3.76  % Preprocessing time       : 0.005 s
% 21.76/3.76  % SatCheck found unsatisfiable ground set
% 21.76/3.76  
% 21.76/3.76  % Proof found!
% 21.76/3.76  % SZS status Theorem
% 21.76/3.76  % SZS output start CNFRefutation
% See solution above
% 21.76/3.76  % Parsed axioms                        : 1
% 21.76/3.76  % Removed by relevancy pruning/SinE    : 0
% 21.76/3.76  % Initial clauses                      : 364
% 21.76/3.76  % Removed in clause preprocessing      : 0
% 21.76/3.76  % Initial clauses in saturation        : 364
% 21.76/3.76  % Processed clauses                    : 7496
% 21.76/3.76  % ...of these trivial                  : 0
% 21.76/3.76  % ...subsumed                          : 2496
% 21.76/3.76  % ...remaining for further processing  : 5000
% 21.76/3.76  % Other redundant clauses eliminated   : 0
% 21.76/3.76  % Clauses deleted for lack of memory   : 0
% 21.76/3.76  % Backward-subsumed                    : 916
% 21.76/3.76  % Backward-rewritten                   : 97
% 21.76/3.76  % Generated clauses                    : 54175
% 21.76/3.76  % ...of the previous two non-redundant : 51555
% 21.76/3.76  % ...aggressively subsumed             : 0
% 21.76/3.76  % Contextual simplify-reflections      : 1042
% 21.76/3.76  % Paramodulations                      : 54092
% 21.76/3.76  % Factorizations                       : 0
% 21.76/3.76  % NegExts                              : 0
% 21.76/3.76  % Equation resolutions                 : 0
% 21.76/3.76  % Disequality decompositions           : 0
% 21.76/3.76  % Total rewrite steps                  : 128
% 21.76/3.76  % ...of those cached                   : 127
% 21.76/3.76  % Propositional unsat checks           : 1
% 21.76/3.76  %    Propositional check models        : 0
% 21.76/3.76  %    Propositional check unsatisfiable : 1
% 21.76/3.76  %    Propositional clauses             : 47961
% 21.76/3.76  %    Propositional clauses after purity: 47102
% 21.76/3.76  %    Propositional unsat core size     : 229
% 21.76/3.76  %    Propositional preprocessing time  : 0.000
% 21.76/3.76  %    Propositional encoding time       : 0.034
% 21.76/3.76  %    Propositional solver time         : 0.109
% 21.76/3.76  %    Success case prop preproc time    : 0.000
% 21.76/3.76  %    Success case prop encoding time   : 0.034
% 21.76/3.76  %    Success case prop solver time     : 0.109
% 21.76/3.76  % Current number of processed clauses  : 3956
% 21.76/3.76  %    Positive orientable unit clauses  : 1
% 21.76/3.76  %    Positive unorientable unit clauses: 0
% 21.76/3.76  %    Negative unit clauses             : 0
% 21.76/3.76  %    Non-unit-clauses                  : 3955
% 21.76/3.76  % Current number of unprocessed clauses: 44005
% 21.76/3.76  % ...number of literals in the above   : 292533
% 21.76/3.76  % Current number of archived formulas  : 0
% 21.76/3.76  % Current number of archived clauses   : 1013
% 21.76/3.76  % Clause-clause subsumption calls (NU) : 6616622
% 21.76/3.76  % Rec. Clause-clause subsumption calls : 786420
% 21.76/3.76  % Non-unit clause-clause subsumptions  : 4486
% 21.76/3.76  % Unit Clause-clause subsumption calls : 10
% 21.76/3.76  % Rewrite failures with RHS unbound    : 0
% 21.76/3.76  % BW rewrite match attempts            : 1
% 21.76/3.76  % BW rewrite match successes           : 1
% 21.76/3.76  % Condensation attempts                : 7496
% 21.76/3.76  % Condensation successes               : 0
% 21.76/3.76  % Termbank termtop insertions          : 547495
% 21.76/3.76  % Search garbage collected termcells   : 1884
% 21.76/3.76  
% 21.76/3.76  % -------------------------------------------------
% 21.76/3.76  % User time                : 3.073 s
% 21.76/3.76  % System time              : 0.094 s
% 21.76/3.76  % Total time               : 3.167 s
% 21.76/3.76  % Maximum resident set size: 4248 pages
% 21.76/3.76  
% 21.76/3.76  % -------------------------------------------------
% 21.76/3.76  % User time                : 9.028 s
% 21.76/3.76  % System time              : 0.256 s
% 21.76/3.76  % Total time               : 9.284 s
% 21.76/3.76  % Maximum resident set size: 5120 pages
% 21.76/3.76  % E exiting
%------------------------------------------------------------------------------