TSTP Solution File: SYN484+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN484+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 13:46:39 EST 2010

% Result   : Theorem 11.38s
% Output   : CNFRefutation 11.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  121
%            Number of leaves      :    1
% Syntax   : Number of formulae    : 2254 (  27 unt;   0 def)
%            Number of atoms       : 15146 (   0 equ)
%            Maximal formula atoms :  835 (   6 avg)
%            Number of connectives : 19626 (6734   ~;11140   |;1386   &)
%                                         (   0 <=>; 366  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  323 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   37 (  36 usr;  33 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1452 (   0 sgn 854   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c1_1(a1969)
          & ~ c2_1(a1969)
          & ~ c3_1(a1969) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a1971)
          & c2_1(a1971)
          & ~ c1_1(a1971) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a1973)
          & c3_1(a1973)
          & ~ c2_1(a1973) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1974)
          & c2_1(a1974)
          & ~ c0_1(a1974) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a1975)
          & ~ c1_1(a1975)
          & ~ c2_1(a1975) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a1977)
          & ~ c2_1(a1977)
          & ~ c3_1(a1977) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c3_1(a1979)
          & ~ c0_1(a1979)
          & ~ c2_1(a1979) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a1981)
          & c1_1(a1981)
          & ~ c3_1(a1981) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c3_1(a1983)
          & ~ c0_1(a1983)
          & ~ c1_1(a1983) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a1985)
          & ~ c0_1(a1985)
          & ~ c3_1(a1985) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a1987)
          & c3_1(a1987)
          & ~ c1_1(a1987) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a1989)
          & ~ c0_1(a1989)
          & ~ c3_1(a1989) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a1990)
          & ~ c1_1(a1990)
          & ~ c2_1(a1990) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a1991)
          & c2_1(a1991)
          & ~ c3_1(a1991) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a1992)
          & ~ c0_1(a1992)
          & ~ c2_1(a1992) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1993)
          & ~ c0_1(a1993)
          & ~ c1_1(a1993) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a1996)
          & c3_1(a1996)
          & ~ c2_1(a1996) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a1998)
          & c3_1(a1998)
          & ~ c0_1(a1998) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a2000)
          & ~ c1_1(a2000)
          & ~ c3_1(a2000) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a2001)
          & c3_1(a2001)
          & ~ c0_1(a2001) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a2003)
          & c2_1(a2003)
          & ~ c3_1(a2003) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a2009)
          & ~ c1_1(a2009)
          & ~ c3_1(a2009) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a2012)
          & ~ c2_1(a2012)
          & ~ c3_1(a2012) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a2014)
          & c1_1(a2014)
          & ~ c2_1(a2014) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a2031)
          & ~ c1_1(a2031)
          & ~ c2_1(a2031) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a2041)
          & ~ c2_1(a2041)
          & ~ c3_1(a2041) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2049)
          & c3_1(a2049)
          & ~ c1_1(a2049) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a1970)
          & c2_1(a1970)
          & c3_1(a1970) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1972)
          & c1_1(a1972)
          & c3_1(a1972) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a1978)
          & c1_1(a1978)
          & c2_1(a1978) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2005)
          & c2_1(a2005)
          & c3_1(a2005) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c2_1(X2)
              | ~ c0_1(X2) ) )
        | hskp0 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | c3_1(X4) ) )
        | hskp27 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | ~ c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c1_1(X7)
              | ~ c2_1(X7) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c1_1(X10)
              | ~ c2_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c2_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c0_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | ~ c0_1(X15)
              | ~ c1_1(X15) ) )
        | hskp1 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) )
        | hskp28 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | hskp2 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | ~ c0_1(X21)
              | ~ c1_1(X21) ) )
        | hskp3 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | hskp4
        | hskp27 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | ~ c0_1(X24)
              | ~ c2_1(X24) ) )
        | hskp5 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | hskp29
        | hskp6 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c0_1(X27)
              | ~ c3_1(X27) ) )
        | hskp1 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | ~ c1_1(X31)
              | ~ c2_1(X31) ) )
        | hskp7 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | hskp28
        | hskp8 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c3_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | ~ c1_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) )
        | hskp29 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp9 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | c2_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | ~ c1_1(X42) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c0_1(X48)
              | ~ c1_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | ~ c0_1(X50)
              | ~ c2_1(X50) ) )
        | hskp8 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | hskp10 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp9
        | hskp11 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | hskp12 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c0_1(X57)
              | ~ c1_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | hskp13 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | c3_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c0_1(X62)
              | ~ c3_1(X62) ) )
        | hskp14 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c3_1(X63)
              | ~ c2_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c3_1(X64)
              | ~ c1_1(X64) ) )
        | hskp15 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) )
        | hskp3 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c1_1(X67)
              | ~ c2_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | ~ c0_1(X68)
              | ~ c1_1(X68) ) )
        | hskp10 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp16 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c1_1(X71)
              | ~ c3_1(X71) ) )
        | hskp13
        | hskp17 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | ~ c1_1(X72)
              | ~ c3_1(X72) ) )
        | hskp4
        | hskp18 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c3_1(X74) ) )
        | hskp19 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c0_1(X75)
              | ~ c2_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c0_1(X76)
              | ~ c1_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c0_1(X77)
              | ~ c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp13
        | hskp20 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c1_1(X80) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c2_1(X81)
              | c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) )
        | hskp12 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c2_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c2_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c1_1(X88)
              | ~ c3_1(X88) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp30
        | hskp5 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c2_1(X90)
              | ~ c0_1(X90) ) )
        | hskp4
        | hskp10 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c2_1(X91)
              | ~ c3_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c1_1(X92) ) )
        | hskp21 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp1
        | hskp10 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp22
        | hskp2 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | c3_1(X95)
              | ~ c2_1(X95) ) )
        | hskp23
        | hskp6 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c2_1(X96) ) )
        | hskp3
        | hskp17 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c2_1(X97) ) )
        | hskp10
        | hskp11 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp30
        | hskp15 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) )
        | hskp6
        | hskp18 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c2_1(X101)
              | ~ c3_1(X101) ) )
        | hskp27 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp10 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | c3_1(X103)
              | ~ c0_1(X103) ) )
        | hskp16
        | hskp15 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | ~ c1_1(X105)
              | ~ c3_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) ) )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | hskp1
        | hskp22 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp16
        | hskp24 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c1_1(X109)
              | ~ c3_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | hskp20 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c1_1(X111)
              | ~ c3_1(X111) ) )
        | hskp11
        | hskp12 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c3_1(X112)
              | ~ c0_1(X112)
              | ~ c2_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | hskp10 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c2_1(X114) ) )
        | hskp4
        | hskp17 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c2_1(X115) ) )
        | hskp12
        | hskp0 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c0_1(X116)
              | ~ c2_1(X116) ) )
        | hskp24
        | hskp25 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c1_1(X117)
              | ~ c2_1(X117) ) )
        | hskp14
        | hskp10 )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c1_1(X118)
              | ~ c2_1(X118) ) )
        | hskp1
        | hskp4 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c1_1(X119)
              | ~ c2_1(X119) ) )
        | hskp3
        | hskp8 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp17 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c1_1(X121)
              | ~ c3_1(X121) ) )
        | hskp26
        | hskp25 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c1_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) )
        | hskp4
        | hskp11 )
      & ( hskp28
        | hskp1
        | hskp21 )
      & ( hskp23
        | hskp5
        | hskp8 )
      & ( hskp30
        | hskp27
        | hskp6 )
      & ( hskp16
        | hskp19
        | hskp15 )
      & ( hskp16
        | hskp21
        | hskp18 ) ),
    file('/tmp/tmpjZZ7q9/sel_SYN484+1.p_1',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c1_1(a1969)
            & ~ c2_1(a1969)
            & ~ c3_1(a1969) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a1971)
            & c2_1(a1971)
            & ~ c1_1(a1971) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a1973)
            & c3_1(a1973)
            & ~ c2_1(a1973) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1974)
            & c2_1(a1974)
            & ~ c0_1(a1974) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a1975)
            & ~ c1_1(a1975)
            & ~ c2_1(a1975) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a1977)
            & ~ c2_1(a1977)
            & ~ c3_1(a1977) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c3_1(a1979)
            & ~ c0_1(a1979)
            & ~ c2_1(a1979) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a1981)
            & c1_1(a1981)
            & ~ c3_1(a1981) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a1983)
            & ~ c0_1(a1983)
            & ~ c1_1(a1983) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a1985)
            & ~ c0_1(a1985)
            & ~ c3_1(a1985) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a1987)
            & c3_1(a1987)
            & ~ c1_1(a1987) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a1989)
            & ~ c0_1(a1989)
            & ~ c3_1(a1989) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a1990)
            & ~ c1_1(a1990)
            & ~ c2_1(a1990) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a1991)
            & c2_1(a1991)
            & ~ c3_1(a1991) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a1992)
            & ~ c0_1(a1992)
            & ~ c2_1(a1992) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1993)
            & ~ c0_1(a1993)
            & ~ c1_1(a1993) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a1996)
            & c3_1(a1996)
            & ~ c2_1(a1996) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a1998)
            & c3_1(a1998)
            & ~ c0_1(a1998) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a2000)
            & ~ c1_1(a2000)
            & ~ c3_1(a2000) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a2001)
            & c3_1(a2001)
            & ~ c0_1(a2001) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a2003)
            & c2_1(a2003)
            & ~ c3_1(a2003) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a2009)
            & ~ c1_1(a2009)
            & ~ c3_1(a2009) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a2012)
            & ~ c2_1(a2012)
            & ~ c3_1(a2012) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a2014)
            & c1_1(a2014)
            & ~ c2_1(a2014) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a2031)
            & ~ c1_1(a2031)
            & ~ c2_1(a2031) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a2041)
            & ~ c2_1(a2041)
            & ~ c3_1(a2041) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2049)
            & c3_1(a2049)
            & ~ c1_1(a2049) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a1970)
            & c2_1(a1970)
            & c3_1(a1970) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1972)
            & c1_1(a1972)
            & c3_1(a1972) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a1978)
            & c1_1(a1978)
            & c2_1(a1978) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2005)
            & c2_1(a2005)
            & c3_1(a2005) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | ~ c0_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) )
          | hskp27 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c1_1(X7)
                | ~ c2_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c1_1(X10)
                | ~ c2_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c0_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c0_1(X15)
                | ~ c1_1(X15) ) )
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp28 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | hskp2 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c0_1(X21)
                | ~ c1_1(X21) ) )
          | hskp3 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | hskp4
          | hskp27 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c0_1(X24)
                | ~ c2_1(X24) ) )
          | hskp5 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | hskp29
          | hskp6 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | ~ c3_1(X27) ) )
          | hskp1 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | ~ c2_1(X31) ) )
          | hskp7 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | hskp28
          | hskp8 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c3_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c1_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp29 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp9 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c1_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c0_1(X50)
                | ~ c2_1(X50) ) )
          | hskp8 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp10 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp9
          | hskp11 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp12 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c0_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | hskp13 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c3_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) )
          | hskp14 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) )
          | hskp15 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | hskp3 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c0_1(X68)
                | ~ c1_1(X68) ) )
          | hskp10 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp16 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) )
          | hskp13
          | hskp17 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c1_1(X72)
                | ~ c3_1(X72) ) )
          | hskp4
          | hskp18 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | hskp19 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c1_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | ~ c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp13
          | hskp20 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | hskp12 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c1_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp30
          | hskp5 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | hskp4
          | hskp10 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c2_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | hskp21 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp1
          | hskp10 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp22
          | hskp2 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | c3_1(X95)
                | ~ c2_1(X95) ) )
          | hskp23
          | hskp6 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c2_1(X96) ) )
          | hskp3
          | hskp17 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c2_1(X97) ) )
          | hskp10
          | hskp11 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp30
          | hskp15 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | hskp6
          | hskp18 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp27 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp10 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c3_1(X103)
                | ~ c0_1(X103) ) )
          | hskp16
          | hskp15 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp1
          | hskp22 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp16
          | hskp24 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp20 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | hskp11
          | hskp12 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c0_1(X112)
                | ~ c2_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | hskp10 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c2_1(X114) ) )
          | hskp4
          | hskp17 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp12
          | hskp0 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c0_1(X116)
                | ~ c2_1(X116) ) )
          | hskp24
          | hskp25 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | hskp14
          | hskp10 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | ~ c2_1(X118) ) )
          | hskp1
          | hskp4 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c1_1(X119)
                | ~ c2_1(X119) ) )
          | hskp3
          | hskp8 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp17 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c1_1(X121)
                | ~ c3_1(X121) ) )
          | hskp26
          | hskp25 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) )
          | hskp4
          | hskp11 )
        & ( hskp28
          | hskp1
          | hskp21 )
        & ( hskp23
          | hskp5
          | hskp8 )
        & ( hskp30
          | hskp27
          | hskp6 )
        & ( hskp16
          | hskp19
          | hskp15 )
        & ( hskp16
          | hskp21
          | hskp18 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c1_1(a1969)
            & ~ c2_1(a1969)
            & ~ c3_1(a1969) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a1971)
            & c2_1(a1971)
            & ~ c1_1(a1971) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a1973)
            & c3_1(a1973)
            & ~ c2_1(a1973) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1974)
            & c2_1(a1974)
            & ~ c0_1(a1974) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a1975)
            & ~ c1_1(a1975)
            & ~ c2_1(a1975) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a1977)
            & ~ c2_1(a1977)
            & ~ c3_1(a1977) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c3_1(a1979)
            & ~ c0_1(a1979)
            & ~ c2_1(a1979) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a1981)
            & c1_1(a1981)
            & ~ c3_1(a1981) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a1983)
            & ~ c0_1(a1983)
            & ~ c1_1(a1983) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a1985)
            & ~ c0_1(a1985)
            & ~ c3_1(a1985) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a1987)
            & c3_1(a1987)
            & ~ c1_1(a1987) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a1989)
            & ~ c0_1(a1989)
            & ~ c3_1(a1989) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a1990)
            & ~ c1_1(a1990)
            & ~ c2_1(a1990) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a1991)
            & c2_1(a1991)
            & ~ c3_1(a1991) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a1992)
            & ~ c0_1(a1992)
            & ~ c2_1(a1992) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1993)
            & ~ c0_1(a1993)
            & ~ c1_1(a1993) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a1996)
            & c3_1(a1996)
            & ~ c2_1(a1996) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a1998)
            & c3_1(a1998)
            & ~ c0_1(a1998) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a2000)
            & ~ c1_1(a2000)
            & ~ c3_1(a2000) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a2001)
            & c3_1(a2001)
            & ~ c0_1(a2001) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a2003)
            & c2_1(a2003)
            & ~ c3_1(a2003) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a2009)
            & ~ c1_1(a2009)
            & ~ c3_1(a2009) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a2012)
            & ~ c2_1(a2012)
            & ~ c3_1(a2012) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a2014)
            & c1_1(a2014)
            & ~ c2_1(a2014) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a2031)
            & ~ c1_1(a2031)
            & ~ c2_1(a2031) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a2041)
            & ~ c2_1(a2041)
            & ~ c3_1(a2041) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2049)
            & c3_1(a2049)
            & ~ c1_1(a2049) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a1970)
            & c2_1(a1970)
            & c3_1(a1970) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1972)
            & c1_1(a1972)
            & c3_1(a1972) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a1978)
            & c1_1(a1978)
            & c2_1(a1978) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2005)
            & c2_1(a2005)
            & c3_1(a2005) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | ~ c0_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) )
          | hskp27 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c1_1(X7)
                | ~ c2_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c1_1(X10)
                | ~ c2_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c0_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c0_1(X15)
                | ~ c1_1(X15) ) )
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp28 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | hskp2 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c0_1(X21)
                | ~ c1_1(X21) ) )
          | hskp3 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | hskp4
          | hskp27 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | ~ c0_1(X24)
                | ~ c2_1(X24) ) )
          | hskp5 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | hskp29
          | hskp6 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | ~ c3_1(X27) ) )
          | hskp1 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | ~ c2_1(X31) ) )
          | hskp7 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | hskp28
          | hskp8 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c3_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c1_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp29 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp9 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c1_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c1_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c0_1(X50)
                | ~ c2_1(X50) ) )
          | hskp8 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp10 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp9
          | hskp11 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp12 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c0_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | hskp13 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c3_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) )
          | hskp14 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) )
          | hskp15 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | hskp3 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c0_1(X68)
                | ~ c1_1(X68) ) )
          | hskp10 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp16 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) )
          | hskp13
          | hskp17 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c1_1(X72)
                | ~ c3_1(X72) ) )
          | hskp4
          | hskp18 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | hskp19 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c1_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | ~ c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp13
          | hskp20 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | hskp12 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c1_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp30
          | hskp5 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | hskp4
          | hskp10 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c2_1(X91)
                | ~ c3_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | hskp21 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp1
          | hskp10 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp22
          | hskp2 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | c3_1(X95)
                | ~ c2_1(X95) ) )
          | hskp23
          | hskp6 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c2_1(X96) ) )
          | hskp3
          | hskp17 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c2_1(X97) ) )
          | hskp10
          | hskp11 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp30
          | hskp15 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | hskp6
          | hskp18 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp27 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp10 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c3_1(X103)
                | ~ c0_1(X103) ) )
          | hskp16
          | hskp15 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp1
          | hskp22 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp16
          | hskp24 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp20 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | hskp11
          | hskp12 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c0_1(X112)
                | ~ c2_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | hskp10 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c2_1(X114) ) )
          | hskp4
          | hskp17 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp12
          | hskp0 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c0_1(X116)
                | ~ c2_1(X116) ) )
          | hskp24
          | hskp25 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | hskp14
          | hskp10 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | ~ c2_1(X118) ) )
          | hskp1
          | hskp4 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c1_1(X119)
                | ~ c2_1(X119) ) )
          | hskp3
          | hskp8 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp17 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c1_1(X121)
                | ~ c3_1(X121) ) )
          | hskp26
          | hskp25 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c1_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) )
          | hskp4
          | hskp11 )
        & ( hskp28
          | hskp1
          | hskp21 )
        & ( hskp23
          | hskp5
          | hskp8 )
        & ( hskp30
          | hskp27
          | hskp6 )
        & ( hskp16
          | hskp19
          | hskp15 )
        & ( hskp16
          | hskp21
          | hskp18 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a1969)
        & ~ c2_1(a1969)
        & ~ c3_1(a1969) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1971)
        & c2_1(a1971)
        & ~ c1_1(a1971) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a1973)
        & c3_1(a1973)
        & ~ c2_1(a1973) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1974)
        & c2_1(a1974)
        & ~ c0_1(a1974) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1975)
        & ~ c1_1(a1975)
        & ~ c2_1(a1975) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1977)
        & ~ c2_1(a1977)
        & ~ c3_1(a1977) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c3_1(a1979)
        & ~ c0_1(a1979)
        & ~ c2_1(a1979) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1981)
        & c1_1(a1981)
        & ~ c3_1(a1981) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a1983)
        & ~ c0_1(a1983)
        & ~ c1_1(a1983) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1985)
        & ~ c0_1(a1985)
        & ~ c3_1(a1985) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a1987)
        & c3_1(a1987)
        & ~ c1_1(a1987) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a1989)
        & ~ c0_1(a1989)
        & ~ c3_1(a1989) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a1990)
        & ~ c1_1(a1990)
        & ~ c2_1(a1990) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1991)
        & c2_1(a1991)
        & ~ c3_1(a1991) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a1992)
        & ~ c0_1(a1992)
        & ~ c2_1(a1992) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1993)
        & ~ c0_1(a1993)
        & ~ c1_1(a1993) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1996)
        & c3_1(a1996)
        & ~ c2_1(a1996) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a1998)
        & c3_1(a1998)
        & ~ c0_1(a1998) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2000)
        & ~ c1_1(a2000)
        & ~ c3_1(a2000) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2001)
        & c3_1(a2001)
        & ~ c0_1(a2001) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a2003)
        & c2_1(a2003)
        & ~ c3_1(a2003) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a2009)
        & ~ c1_1(a2009)
        & ~ c3_1(a2009) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a2012)
        & ~ c2_1(a2012)
        & ~ c3_1(a2012) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2014)
        & c1_1(a2014)
        & ~ c2_1(a2014) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a2031)
        & ~ c1_1(a2031)
        & ~ c2_1(a2031) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a2041)
        & ~ c2_1(a2041)
        & ~ c3_1(a2041) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2049)
        & c3_1(a2049)
        & ~ c1_1(a2049) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a1970)
        & c2_1(a1970)
        & c3_1(a1970) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1972)
        & c1_1(a1972)
        & c3_1(a1972) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1978)
        & c1_1(a1978)
        & c2_1(a1978) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2005)
        & c2_1(a2005)
        & c3_1(a2005) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | c1_1(X2)
          | c2_1(X2)
          | ~ c0_1(X2) )
      | hskp0 )
    & ( ! [X3] :
          ( ~ ndr1_0
          | c0_1(X3)
          | c1_1(X3)
          | c3_1(X3) )
      | ! [X4] :
          ( ~ ndr1_0
          | c0_1(X4)
          | c2_1(X4)
          | c3_1(X4) )
      | hskp27 )
    & ( ! [X5] :
          ( ~ ndr1_0
          | c0_1(X5)
          | c1_1(X5)
          | c3_1(X5) )
      | ! [X6] :
          ( ~ ndr1_0
          | c0_1(X6)
          | c2_1(X6)
          | ~ c3_1(X6) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c0_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | c0_1(X8)
          | c1_1(X8)
          | c3_1(X8) )
      | ! [X9] :
          ( ~ ndr1_0
          | c0_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | c1_1(X11)
          | c3_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | c1_1(X12)
          | c2_1(X12)
          | ~ c3_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c1_1(X13)
          | ~ c0_1(X13)
          | ~ c2_1(X13) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | c1_1(X14)
          | c3_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | c2_1(X15)
          | ~ c0_1(X15)
          | ~ c1_1(X15) )
      | hskp1 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | c0_1(X16)
          | c1_1(X16)
          | c3_1(X16) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c1_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17) )
      | hskp28 )
    & ( ! [X18] :
          ( ~ ndr1_0
          | c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18) )
      | ! [X19] :
          ( ~ ndr1_0
          | c1_1(X19)
          | c2_1(X19)
          | c3_1(X19) )
      | hskp2 )
    & ( ! [X20] :
          ( ~ ndr1_0
          | c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20) )
      | ! [X21] :
          ( ~ ndr1_0
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ c1_1(X21) )
      | hskp3 )
    & ( ! [X22] :
          ( ~ ndr1_0
          | c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22) )
      | hskp4
      | hskp27 )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ c2_1(X24) )
      | hskp5 )
    & ( ! [X25] :
          ( ~ ndr1_0
          | c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25) )
      | hskp29
      | hskp6 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | c2_1(X26)
          | c3_1(X26) )
      | ! [X27] :
          ( ~ ndr1_0
          | c2_1(X27)
          | ~ c0_1(X27)
          | ~ c3_1(X27) )
      | hskp1 )
    & ( ! [X28] :
          ( ~ ndr1_0
          | c0_1(X28)
          | c2_1(X28)
          | c3_1(X28) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30) )
      | ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | ~ c1_1(X31)
          | ~ c2_1(X31) )
      | hskp7 )
    & ( ! [X32] :
          ( ~ ndr1_0
          | c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32) )
      | hskp28
      | hskp8 )
    & ( ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33) )
      | ! [X34] :
          ( ~ ndr1_0
          | c0_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34) )
      | ! [X35] :
          ( ~ ndr1_0
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ c3_1(X35) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37) )
      | hskp29 )
    & ( ! [X38] :
          ( ~ ndr1_0
          | c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38) )
      | ! [X39] :
          ( ~ ndr1_0
          | c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39) )
      | hskp9 )
    & ( ! [X40] :
          ( ~ ndr1_0
          | c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40) )
      | ! [X41] :
          ( ~ ndr1_0
          | c1_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41) )
      | ! [X42] :
          ( ~ ndr1_0
          | c2_1(X42)
          | ~ c0_1(X42)
          | ~ c1_1(X42) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43) )
      | ! [X44] :
          ( ~ ndr1_0
          | c1_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | c2_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46) )
      | ! [X47] :
          ( ~ ndr1_0
          | c1_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47) )
      | ! [X48] :
          ( ~ ndr1_0
          | c2_1(X48)
          | ~ c0_1(X48)
          | ~ c1_1(X48) ) )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49) )
      | ! [X50] :
          ( ~ ndr1_0
          | c1_1(X50)
          | ~ c0_1(X50)
          | ~ c2_1(X50) )
      | hskp8 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52) )
      | hskp10 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53) )
      | hskp9
      | hskp11 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | c0_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55) )
      | hskp12 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ c1_1(X57) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59) )
      | ! [X60] :
          ( ~ ndr1_0
          | c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60) )
      | hskp13 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c0_1(X61)
          | c3_1(X61)
          | ~ c2_1(X61) )
      | ! [X62] :
          ( ~ ndr1_0
          | c1_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62) )
      | hskp14 )
    & ( ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63) )
      | ! [X64] :
          ( ~ ndr1_0
          | c2_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64) )
      | hskp15 )
    & ( ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65) )
      | ! [X66] :
          ( ~ ndr1_0
          | c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66) )
      | hskp3 )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c0_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68) )
      | hskp10 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70) )
      | hskp16 )
    & ( ! [X71] :
          ( ~ ndr1_0
          | c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71) )
      | hskp13
      | hskp17 )
    & ( ! [X72] :
          ( ~ ndr1_0
          | c0_1(X72)
          | ~ c1_1(X72)
          | ~ c3_1(X72) )
      | hskp4
      | hskp18 )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73) )
      | ! [X74] :
          ( ~ ndr1_0
          | c1_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74) )
      | hskp19 )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c0_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75) )
      | ! [X76] :
          ( ~ ndr1_0
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ c1_1(X76) ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | c0_1(X77)
          | ~ c2_1(X77)
          | ~ c3_1(X77) )
      | hskp13
      | hskp20 )
    & ( ! [X78] :
          ( ~ ndr1_0
          | c1_1(X78)
          | c2_1(X78)
          | c3_1(X78) )
      | ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79) )
      | ! [X80] :
          ( ~ ndr1_0
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80) ) )
    & ( ! [X81] :
          ( ~ ndr1_0
          | c1_1(X81)
          | c2_1(X81)
          | c3_1(X81) )
      | ! [X82] :
          ( ~ ndr1_0
          | c2_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82) )
      | hskp12 )
    & ( ! [X83] :
          ( ~ ndr1_0
          | c1_1(X83)
          | c2_1(X83)
          | ~ c0_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | c1_1(X84)
          | ~ c0_1(X84)
          | ~ c2_1(X84) )
      | ! [X85] :
          ( ~ ndr1_0
          | c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85) ) )
    & ( ! [X86] :
          ( ~ ndr1_0
          | c1_1(X86)
          | c2_1(X86)
          | ~ c0_1(X86) )
      | ! [X87] :
          ( ~ ndr1_0
          | c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87) )
      | ! [X88] :
          ( ~ ndr1_0
          | c2_1(X88)
          | ~ c1_1(X88)
          | ~ c3_1(X88) ) )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c1_1(X89)
          | c2_1(X89)
          | ~ c0_1(X89) )
      | hskp30
      | hskp5 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90) )
      | hskp4
      | hskp10 )
    & ( ! [X91] :
          ( ~ ndr1_0
          | c1_1(X91)
          | c2_1(X91)
          | ~ c3_1(X91) )
      | ! [X92] :
          ( ~ ndr1_0
          | c2_1(X92)
          | c3_1(X92)
          | ~ c1_1(X92) )
      | hskp21 )
    & ( ! [X93] :
          ( ~ ndr1_0
          | c1_1(X93)
          | c2_1(X93)
          | ~ c3_1(X93) )
      | hskp1
      | hskp10 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | c1_1(X94)
          | c2_1(X94)
          | ~ c3_1(X94) )
      | hskp22
      | hskp2 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c1_1(X95)
          | c3_1(X95)
          | ~ c2_1(X95) )
      | hskp23
      | hskp6 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | c1_1(X96)
          | c3_1(X96)
          | ~ c2_1(X96) )
      | hskp3
      | hskp17 )
    & ( ! [X97] :
          ( ~ ndr1_0
          | c1_1(X97)
          | ~ c0_1(X97)
          | ~ c2_1(X97) )
      | hskp10
      | hskp11 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98) )
      | hskp30
      | hskp15 )
    & ( ! [X99] :
          ( ~ ndr1_0
          | c1_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99) )
      | hskp6
      | hskp18 )
    & ( ! [X100] :
          ( ~ ndr1_0
          | c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101) )
      | hskp27 )
    & ( ! [X102] :
          ( ~ ndr1_0
          | c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102) )
      | hskp10 )
    & ( ! [X103] :
          ( ~ ndr1_0
          | c2_1(X103)
          | c3_1(X103)
          | ~ c0_1(X103) )
      | hskp16
      | hskp15 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | c2_1(X104)
          | c3_1(X104)
          | ~ c1_1(X104) )
      | ! [X105] :
          ( ~ ndr1_0
          | c2_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105) )
      | ! [X106] :
          ( ~ ndr1_0
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106) ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107) )
      | hskp1
      | hskp22 )
    & ( ! [X108] :
          ( ~ ndr1_0
          | c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108) )
      | hskp16
      | hskp24 )
    & ( ! [X109] :
          ( ~ ndr1_0
          | c2_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110) )
      | hskp20 )
    & ( ! [X111] :
          ( ~ ndr1_0
          | c2_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111) )
      | hskp11
      | hskp12 )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c3_1(X112)
          | ~ c0_1(X112)
          | ~ c2_1(X112) )
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113) )
      | hskp10 )
    & ( ! [X114] :
          ( ~ ndr1_0
          | c3_1(X114)
          | ~ c0_1(X114)
          | ~ c2_1(X114) )
      | hskp4
      | hskp17 )
    & ( ! [X115] :
          ( ~ ndr1_0
          | c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115) )
      | hskp12
      | hskp0 )
    & ( ! [X116] :
          ( ~ ndr1_0
          | c3_1(X116)
          | ~ c0_1(X116)
          | ~ c2_1(X116) )
      | hskp24
      | hskp25 )
    & ( ! [X117] :
          ( ~ ndr1_0
          | c3_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117) )
      | hskp14
      | hskp10 )
    & ( ! [X118] :
          ( ~ ndr1_0
          | ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118) )
      | hskp1
      | hskp4 )
    & ( ! [X119] :
          ( ~ ndr1_0
          | ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119) )
      | hskp3
      | hskp8 )
    & ( ! [X120] :
          ( ~ ndr1_0
          | ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120) )
      | hskp17 )
    & ( ! [X121] :
          ( ~ ndr1_0
          | ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c3_1(X121) )
      | hskp26
      | hskp25 )
    & ( ! [X122] :
          ( ~ ndr1_0
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122) )
      | hskp4
      | hskp11 )
    & ( hskp28
      | hskp1
      | hskp21 )
    & ( hskp23
      | hskp5
      | hskp8 )
    & ( hskp30
      | hskp27
      | hskp6 )
    & ( hskp16
      | hskp19
      | hskp15 )
    & ( hskp16
      | hskp21
      | hskp18 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a1969)
        & ~ c2_1(a1969)
        & ~ c3_1(a1969) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a1971)
        & c2_1(a1971)
        & ~ c1_1(a1971) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a1973)
        & c3_1(a1973)
        & ~ c2_1(a1973) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1974)
        & c2_1(a1974)
        & ~ c0_1(a1974) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1975)
        & ~ c1_1(a1975)
        & ~ c2_1(a1975) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1977)
        & ~ c2_1(a1977)
        & ~ c3_1(a1977) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c3_1(a1979)
        & ~ c0_1(a1979)
        & ~ c2_1(a1979) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1981)
        & c1_1(a1981)
        & ~ c3_1(a1981) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a1983)
        & ~ c0_1(a1983)
        & ~ c1_1(a1983) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a1985)
        & ~ c0_1(a1985)
        & ~ c3_1(a1985) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a1987)
        & c3_1(a1987)
        & ~ c1_1(a1987) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a1989)
        & ~ c0_1(a1989)
        & ~ c3_1(a1989) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a1990)
        & ~ c1_1(a1990)
        & ~ c2_1(a1990) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1991)
        & c2_1(a1991)
        & ~ c3_1(a1991) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a1992)
        & ~ c0_1(a1992)
        & ~ c2_1(a1992) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1993)
        & ~ c0_1(a1993)
        & ~ c1_1(a1993) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a1996)
        & c3_1(a1996)
        & ~ c2_1(a1996) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a1998)
        & c3_1(a1998)
        & ~ c0_1(a1998) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2000)
        & ~ c1_1(a2000)
        & ~ c3_1(a2000) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a2001)
        & c3_1(a2001)
        & ~ c0_1(a2001) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a2003)
        & c2_1(a2003)
        & ~ c3_1(a2003) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a2009)
        & ~ c1_1(a2009)
        & ~ c3_1(a2009) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a2012)
        & ~ c2_1(a2012)
        & ~ c3_1(a2012) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a2014)
        & c1_1(a2014)
        & ~ c2_1(a2014) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a2031)
        & ~ c1_1(a2031)
        & ~ c2_1(a2031) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a2041)
        & ~ c2_1(a2041)
        & ~ c3_1(a2041) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2049)
        & c3_1(a2049)
        & ~ c1_1(a2049) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a1970)
        & c2_1(a1970)
        & c3_1(a1970) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1972)
        & c1_1(a1972)
        & c3_1(a1972) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1978)
        & c1_1(a1978)
        & c2_1(a1978) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2005)
        & c2_1(a2005)
        & c3_1(a2005) ) )
    & ( ! [X123] :
          ( ~ ndr1_0
          | c0_1(X123)
          | c1_1(X123)
          | c2_1(X123) )
      | ! [X124] :
          ( ~ ndr1_0
          | c1_1(X124)
          | c2_1(X124)
          | ~ c0_1(X124) )
      | hskp0 )
    & ( ! [X125] :
          ( ~ ndr1_0
          | c0_1(X125)
          | c1_1(X125)
          | c3_1(X125) )
      | ! [X126] :
          ( ~ ndr1_0
          | c0_1(X126)
          | c2_1(X126)
          | c3_1(X126) )
      | hskp27 )
    & ( ! [X127] :
          ( ~ ndr1_0
          | c0_1(X127)
          | c1_1(X127)
          | c3_1(X127) )
      | ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c2_1(X128)
          | ~ c3_1(X128) )
      | ! [X129] :
          ( ~ ndr1_0
          | ~ c0_1(X129)
          | ~ c1_1(X129)
          | ~ c2_1(X129) ) )
    & ( ! [X130] :
          ( ~ ndr1_0
          | c0_1(X130)
          | c1_1(X130)
          | c3_1(X130) )
      | ! [X131] :
          ( ~ ndr1_0
          | c0_1(X131)
          | c3_1(X131)
          | ~ c2_1(X131) )
      | ! [X132] :
          ( ~ ndr1_0
          | c3_1(X132)
          | ~ c1_1(X132)
          | ~ c2_1(X132) ) )
    & ( ! [X133] :
          ( ~ ndr1_0
          | c0_1(X133)
          | c1_1(X133)
          | c3_1(X133) )
      | ! [X134] :
          ( ~ ndr1_0
          | c1_1(X134)
          | c2_1(X134)
          | ~ c3_1(X134) )
      | ! [X135] :
          ( ~ ndr1_0
          | c1_1(X135)
          | ~ c0_1(X135)
          | ~ c2_1(X135) ) )
    & ( ! [X136] :
          ( ~ ndr1_0
          | c0_1(X136)
          | c1_1(X136)
          | c3_1(X136) )
      | ! [X137] :
          ( ~ ndr1_0
          | c2_1(X137)
          | ~ c0_1(X137)
          | ~ c1_1(X137) )
      | hskp1 )
    & ( ! [X138] :
          ( ~ ndr1_0
          | c0_1(X138)
          | c1_1(X138)
          | c3_1(X138) )
      | ! [X139] :
          ( ~ ndr1_0
          | ~ c1_1(X139)
          | ~ c2_1(X139)
          | ~ c3_1(X139) )
      | hskp28 )
    & ( ! [X140] :
          ( ~ ndr1_0
          | c0_1(X140)
          | c1_1(X140)
          | ~ c2_1(X140) )
      | ! [X141] :
          ( ~ ndr1_0
          | c1_1(X141)
          | c2_1(X141)
          | c3_1(X141) )
      | hskp2 )
    & ( ! [X142] :
          ( ~ ndr1_0
          | c0_1(X142)
          | c1_1(X142)
          | ~ c2_1(X142) )
      | ! [X143] :
          ( ~ ndr1_0
          | c2_1(X143)
          | ~ c0_1(X143)
          | ~ c1_1(X143) )
      | hskp3 )
    & ( ! [X144] :
          ( ~ ndr1_0
          | c0_1(X144)
          | c1_1(X144)
          | ~ c2_1(X144) )
      | hskp4
      | hskp27 )
    & ( ! [X145] :
          ( ~ ndr1_0
          | c0_1(X145)
          | c1_1(X145)
          | ~ c3_1(X145) )
      | ! [X146] :
          ( ~ ndr1_0
          | c3_1(X146)
          | ~ c0_1(X146)
          | ~ c2_1(X146) )
      | hskp5 )
    & ( ! [X147] :
          ( ~ ndr1_0
          | c0_1(X147)
          | c1_1(X147)
          | ~ c3_1(X147) )
      | hskp29
      | hskp6 )
    & ( ! [X148] :
          ( ~ ndr1_0
          | c0_1(X148)
          | c2_1(X148)
          | c3_1(X148) )
      | ! [X149] :
          ( ~ ndr1_0
          | c2_1(X149)
          | ~ c0_1(X149)
          | ~ c3_1(X149) )
      | hskp1 )
    & ( ! [X150] :
          ( ~ ndr1_0
          | c0_1(X150)
          | c2_1(X150)
          | c3_1(X150) )
      | ! [X151] :
          ( ~ ndr1_0
          | ~ c1_1(X151)
          | ~ c2_1(X151)
          | ~ c3_1(X151) ) )
    & ( ! [X152] :
          ( ~ ndr1_0
          | c0_1(X152)
          | c2_1(X152)
          | ~ c1_1(X152) )
      | ! [X153] :
          ( ~ ndr1_0
          | c0_1(X153)
          | ~ c1_1(X153)
          | ~ c2_1(X153) )
      | hskp7 )
    & ( ! [X154] :
          ( ~ ndr1_0
          | c0_1(X154)
          | c2_1(X154)
          | ~ c1_1(X154) )
      | hskp28
      | hskp8 )
    & ( ! [X155] :
          ( ~ ndr1_0
          | c0_1(X155)
          | c2_1(X155)
          | ~ c3_1(X155) )
      | ! [X156] :
          ( ~ ndr1_0
          | c0_1(X156)
          | c3_1(X156)
          | ~ c1_1(X156) )
      | ! [X157] :
          ( ~ ndr1_0
          | c2_1(X157)
          | ~ c1_1(X157)
          | ~ c3_1(X157) ) )
    & ( ! [X158] :
          ( ~ ndr1_0
          | c0_1(X158)
          | c2_1(X158)
          | ~ c3_1(X158) )
      | ! [X159] :
          ( ~ ndr1_0
          | c0_1(X159)
          | ~ c1_1(X159)
          | ~ c3_1(X159) )
      | hskp29 )
    & ( ! [X160] :
          ( ~ ndr1_0
          | c0_1(X160)
          | c2_1(X160)
          | ~ c3_1(X160) )
      | ! [X161] :
          ( ~ ndr1_0
          | c0_1(X161)
          | ~ c2_1(X161)
          | ~ c3_1(X161) )
      | hskp9 )
    & ( ! [X162] :
          ( ~ ndr1_0
          | c0_1(X162)
          | c2_1(X162)
          | ~ c3_1(X162) )
      | ! [X163] :
          ( ~ ndr1_0
          | c1_1(X163)
          | c2_1(X163)
          | ~ c0_1(X163) )
      | ! [X164] :
          ( ~ ndr1_0
          | c2_1(X164)
          | ~ c0_1(X164)
          | ~ c1_1(X164) ) )
    & ( ! [X165] :
          ( ~ ndr1_0
          | c0_1(X165)
          | c2_1(X165)
          | ~ c3_1(X165) )
      | ! [X166] :
          ( ~ ndr1_0
          | c1_1(X166)
          | c2_1(X166)
          | ~ c3_1(X166) )
      | ! [X167] :
          ( ~ ndr1_0
          | c2_1(X167)
          | c3_1(X167)
          | ~ c1_1(X167) ) )
    & ( ! [X168] :
          ( ~ ndr1_0
          | c0_1(X168)
          | c2_1(X168)
          | ~ c3_1(X168) )
      | ! [X169] :
          ( ~ ndr1_0
          | c1_1(X169)
          | c3_1(X169)
          | ~ c2_1(X169) )
      | ! [X170] :
          ( ~ ndr1_0
          | c2_1(X170)
          | ~ c0_1(X170)
          | ~ c1_1(X170) ) )
    & ( ! [X171] :
          ( ~ ndr1_0
          | c0_1(X171)
          | c2_1(X171)
          | ~ c3_1(X171) )
      | ! [X172] :
          ( ~ ndr1_0
          | c1_1(X172)
          | ~ c0_1(X172)
          | ~ c2_1(X172) )
      | hskp8 )
    & ( ! [X173] :
          ( ~ ndr1_0
          | c0_1(X173)
          | c2_1(X173)
          | ~ c3_1(X173) )
      | ! [X174] :
          ( ~ ndr1_0
          | c2_1(X174)
          | ~ c0_1(X174)
          | ~ c1_1(X174) )
      | hskp10 )
    & ( ! [X175] :
          ( ~ ndr1_0
          | c0_1(X175)
          | c2_1(X175)
          | ~ c3_1(X175) )
      | hskp9
      | hskp11 )
    & ( ! [X176] :
          ( ~ ndr1_0
          | c0_1(X176)
          | c3_1(X176)
          | ~ c1_1(X176) )
      | ! [X177] :
          ( ~ ndr1_0
          | c0_1(X177)
          | ~ c1_1(X177)
          | ~ c3_1(X177) )
      | hskp12 )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c0_1(X178)
          | c3_1(X178)
          | ~ c1_1(X178) )
      | ! [X179] :
          ( ~ ndr1_0
          | c2_1(X179)
          | ~ c0_1(X179)
          | ~ c1_1(X179) )
      | ! [X180] :
          ( ~ ndr1_0
          | ~ c0_1(X180)
          | ~ c1_1(X180)
          | ~ c2_1(X180) ) )
    & ( ! [X181] :
          ( ~ ndr1_0
          | c0_1(X181)
          | c3_1(X181)
          | ~ c2_1(X181) )
      | ! [X182] :
          ( ~ ndr1_0
          | c0_1(X182)
          | ~ c1_1(X182)
          | ~ c3_1(X182) )
      | hskp13 )
    & ( ! [X183] :
          ( ~ ndr1_0
          | c0_1(X183)
          | c3_1(X183)
          | ~ c2_1(X183) )
      | ! [X184] :
          ( ~ ndr1_0
          | c1_1(X184)
          | ~ c0_1(X184)
          | ~ c3_1(X184) )
      | hskp14 )
    & ( ! [X185] :
          ( ~ ndr1_0
          | c0_1(X185)
          | c3_1(X185)
          | ~ c2_1(X185) )
      | ! [X186] :
          ( ~ ndr1_0
          | c2_1(X186)
          | c3_1(X186)
          | ~ c1_1(X186) )
      | hskp15 )
    & ( ! [X187] :
          ( ~ ndr1_0
          | c0_1(X187)
          | ~ c1_1(X187)
          | ~ c2_1(X187) )
      | ! [X188] :
          ( ~ ndr1_0
          | c0_1(X188)
          | ~ c1_1(X188)
          | ~ c3_1(X188) )
      | hskp3 )
    & ( ! [X189] :
          ( ~ ndr1_0
          | c0_1(X189)
          | ~ c1_1(X189)
          | ~ c2_1(X189) )
      | ! [X190] :
          ( ~ ndr1_0
          | c3_1(X190)
          | ~ c0_1(X190)
          | ~ c1_1(X190) )
      | hskp10 )
    & ( ! [X191] :
          ( ~ ndr1_0
          | c0_1(X191)
          | ~ c1_1(X191)
          | ~ c3_1(X191) )
      | ! [X192] :
          ( ~ ndr1_0
          | ~ c0_1(X192)
          | ~ c1_1(X192)
          | ~ c3_1(X192) )
      | hskp16 )
    & ( ! [X193] :
          ( ~ ndr1_0
          | c0_1(X193)
          | ~ c1_1(X193)
          | ~ c3_1(X193) )
      | hskp13
      | hskp17 )
    & ( ! [X194] :
          ( ~ ndr1_0
          | c0_1(X194)
          | ~ c1_1(X194)
          | ~ c3_1(X194) )
      | hskp4
      | hskp18 )
    & ( ! [X195] :
          ( ~ ndr1_0
          | c0_1(X195)
          | ~ c2_1(X195)
          | ~ c3_1(X195) )
      | ! [X196] :
          ( ~ ndr1_0
          | c1_1(X196)
          | ~ c0_1(X196)
          | ~ c3_1(X196) )
      | hskp19 )
    & ( ! [X197] :
          ( ~ ndr1_0
          | c0_1(X197)
          | ~ c2_1(X197)
          | ~ c3_1(X197) )
      | ! [X198] :
          ( ~ ndr1_0
          | c2_1(X198)
          | ~ c0_1(X198)
          | ~ c1_1(X198) ) )
    & ( ! [X199] :
          ( ~ ndr1_0
          | c0_1(X199)
          | ~ c2_1(X199)
          | ~ c3_1(X199) )
      | hskp13
      | hskp20 )
    & ( ! [X200] :
          ( ~ ndr1_0
          | c1_1(X200)
          | c2_1(X200)
          | c3_1(X200) )
      | ! [X201] :
          ( ~ ndr1_0
          | c1_1(X201)
          | c3_1(X201)
          | ~ c2_1(X201) )
      | ! [X202] :
          ( ~ ndr1_0
          | c2_1(X202)
          | ~ c0_1(X202)
          | ~ c1_1(X202) ) )
    & ( ! [X203] :
          ( ~ ndr1_0
          | c1_1(X203)
          | c2_1(X203)
          | c3_1(X203) )
      | ! [X204] :
          ( ~ ndr1_0
          | c2_1(X204)
          | ~ c0_1(X204)
          | ~ c1_1(X204) )
      | hskp12 )
    & ( ! [X205] :
          ( ~ ndr1_0
          | c1_1(X205)
          | c2_1(X205)
          | ~ c0_1(X205) )
      | ! [X206] :
          ( ~ ndr1_0
          | c1_1(X206)
          | ~ c0_1(X206)
          | ~ c2_1(X206) )
      | ! [X207] :
          ( ~ ndr1_0
          | c1_1(X207)
          | ~ c2_1(X207)
          | ~ c3_1(X207) ) )
    & ( ! [X208] :
          ( ~ ndr1_0
          | c1_1(X208)
          | c2_1(X208)
          | ~ c0_1(X208) )
      | ! [X209] :
          ( ~ ndr1_0
          | c1_1(X209)
          | ~ c2_1(X209)
          | ~ c3_1(X209) )
      | ! [X210] :
          ( ~ ndr1_0
          | c2_1(X210)
          | ~ c1_1(X210)
          | ~ c3_1(X210) ) )
    & ( ! [X211] :
          ( ~ ndr1_0
          | c1_1(X211)
          | c2_1(X211)
          | ~ c0_1(X211) )
      | hskp30
      | hskp5 )
    & ( ! [X212] :
          ( ~ ndr1_0
          | c1_1(X212)
          | c2_1(X212)
          | ~ c0_1(X212) )
      | hskp4
      | hskp10 )
    & ( ! [X213] :
          ( ~ ndr1_0
          | c1_1(X213)
          | c2_1(X213)
          | ~ c3_1(X213) )
      | ! [X214] :
          ( ~ ndr1_0
          | c2_1(X214)
          | c3_1(X214)
          | ~ c1_1(X214) )
      | hskp21 )
    & ( ! [X215] :
          ( ~ ndr1_0
          | c1_1(X215)
          | c2_1(X215)
          | ~ c3_1(X215) )
      | hskp1
      | hskp10 )
    & ( ! [X216] :
          ( ~ ndr1_0
          | c1_1(X216)
          | c2_1(X216)
          | ~ c3_1(X216) )
      | hskp22
      | hskp2 )
    & ( ! [X217] :
          ( ~ ndr1_0
          | c1_1(X217)
          | c3_1(X217)
          | ~ c2_1(X217) )
      | hskp23
      | hskp6 )
    & ( ! [X218] :
          ( ~ ndr1_0
          | c1_1(X218)
          | c3_1(X218)
          | ~ c2_1(X218) )
      | hskp3
      | hskp17 )
    & ( ! [X219] :
          ( ~ ndr1_0
          | c1_1(X219)
          | ~ c0_1(X219)
          | ~ c2_1(X219) )
      | hskp10
      | hskp11 )
    & ( ! [X220] :
          ( ~ ndr1_0
          | c1_1(X220)
          | ~ c0_1(X220)
          | ~ c3_1(X220) )
      | hskp30
      | hskp15 )
    & ( ! [X221] :
          ( ~ ndr1_0
          | c1_1(X221)
          | ~ c0_1(X221)
          | ~ c3_1(X221) )
      | hskp6
      | hskp18 )
    & ( ! [X222] :
          ( ~ ndr1_0
          | c1_1(X222)
          | ~ c2_1(X222)
          | ~ c3_1(X222) )
      | ! [X223] :
          ( ~ ndr1_0
          | ~ c1_1(X223)
          | ~ c2_1(X223)
          | ~ c3_1(X223) )
      | hskp27 )
    & ( ! [X224] :
          ( ~ ndr1_0
          | c1_1(X224)
          | ~ c2_1(X224)
          | ~ c3_1(X224) )
      | hskp10 )
    & ( ! [X225] :
          ( ~ ndr1_0
          | c2_1(X225)
          | c3_1(X225)
          | ~ c0_1(X225) )
      | hskp16
      | hskp15 )
    & ( ! [X226] :
          ( ~ ndr1_0
          | c2_1(X226)
          | c3_1(X226)
          | ~ c1_1(X226) )
      | ! [X227] :
          ( ~ ndr1_0
          | c2_1(X227)
          | ~ c1_1(X227)
          | ~ c3_1(X227) )
      | ! [X228] :
          ( ~ ndr1_0
          | c3_1(X228)
          | ~ c0_1(X228)
          | ~ c1_1(X228) ) )
    & ( ! [X229] :
          ( ~ ndr1_0
          | c2_1(X229)
          | ~ c0_1(X229)
          | ~ c1_1(X229) )
      | hskp1
      | hskp22 )
    & ( ! [X230] :
          ( ~ ndr1_0
          | c2_1(X230)
          | ~ c0_1(X230)
          | ~ c1_1(X230) )
      | hskp16
      | hskp24 )
    & ( ! [X231] :
          ( ~ ndr1_0
          | c2_1(X231)
          | ~ c1_1(X231)
          | ~ c3_1(X231) )
      | ! [X232] :
          ( ~ ndr1_0
          | ~ c0_1(X232)
          | ~ c1_1(X232)
          | ~ c3_1(X232) )
      | hskp20 )
    & ( ! [X233] :
          ( ~ ndr1_0
          | c2_1(X233)
          | ~ c1_1(X233)
          | ~ c3_1(X233) )
      | hskp11
      | hskp12 )
    & ( ! [X234] :
          ( ~ ndr1_0
          | c3_1(X234)
          | ~ c0_1(X234)
          | ~ c2_1(X234) )
      | ! [X235] :
          ( ~ ndr1_0
          | ~ c0_1(X235)
          | ~ c1_1(X235)
          | ~ c3_1(X235) )
      | hskp10 )
    & ( ! [X236] :
          ( ~ ndr1_0
          | c3_1(X236)
          | ~ c0_1(X236)
          | ~ c2_1(X236) )
      | hskp4
      | hskp17 )
    & ( ! [X237] :
          ( ~ ndr1_0
          | c3_1(X237)
          | ~ c0_1(X237)
          | ~ c2_1(X237) )
      | hskp12
      | hskp0 )
    & ( ! [X238] :
          ( ~ ndr1_0
          | c3_1(X238)
          | ~ c0_1(X238)
          | ~ c2_1(X238) )
      | hskp24
      | hskp25 )
    & ( ! [X239] :
          ( ~ ndr1_0
          | c3_1(X239)
          | ~ c1_1(X239)
          | ~ c2_1(X239) )
      | hskp14
      | hskp10 )
    & ( ! [X240] :
          ( ~ ndr1_0
          | ~ c0_1(X240)
          | ~ c1_1(X240)
          | ~ c2_1(X240) )
      | hskp1
      | hskp4 )
    & ( ! [X241] :
          ( ~ ndr1_0
          | ~ c0_1(X241)
          | ~ c1_1(X241)
          | ~ c2_1(X241) )
      | hskp3
      | hskp8 )
    & ( ! [X242] :
          ( ~ ndr1_0
          | ~ c0_1(X242)
          | ~ c1_1(X242)
          | ~ c2_1(X242) )
      | hskp17 )
    & ( ! [X243] :
          ( ~ ndr1_0
          | ~ c0_1(X243)
          | ~ c1_1(X243)
          | ~ c3_1(X243) )
      | hskp26
      | hskp25 )
    & ( ! [X244] :
          ( ~ ndr1_0
          | ~ c1_1(X244)
          | ~ c2_1(X244)
          | ~ c3_1(X244) )
      | hskp4
      | hskp11 )
    & ( hskp28
      | hskp1
      | hskp21 )
    & ( hskp23
      | hskp5
      | hskp8 )
    & ( hskp30
      | hskp27
      | hskp6 )
    & ( hskp16
      | hskp19
      | hskp15 )
    & ( hskp16
      | hskp21
      | hskp18 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244] :
      ( ( ~ ndr1_0
        | ~ c1_1(X244)
        | ~ c2_1(X244)
        | ~ c3_1(X244)
        | hskp4
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X243)
        | ~ c1_1(X243)
        | ~ c3_1(X243)
        | hskp26
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c0_1(X242)
        | ~ c1_1(X242)
        | ~ c2_1(X242)
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X241)
        | ~ c1_1(X241)
        | ~ c2_1(X241)
        | hskp3
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X240)
        | ~ c1_1(X240)
        | ~ c2_1(X240)
        | hskp1
        | hskp4 )
      & ( ~ ndr1_0
        | c3_1(X239)
        | ~ c1_1(X239)
        | ~ c2_1(X239)
        | hskp14
        | hskp10 )
      & ( ~ ndr1_0
        | c3_1(X238)
        | ~ c0_1(X238)
        | ~ c2_1(X238)
        | hskp24
        | hskp25 )
      & ( ~ ndr1_0
        | c3_1(X237)
        | ~ c0_1(X237)
        | ~ c2_1(X237)
        | hskp12
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X236)
        | ~ c0_1(X236)
        | ~ c2_1(X236)
        | hskp4
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X235)
        | ~ c1_1(X235)
        | ~ c3_1(X235)
        | ~ ndr1_0
        | c3_1(X234)
        | ~ c0_1(X234)
        | ~ c2_1(X234)
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X233)
        | ~ c1_1(X233)
        | ~ c3_1(X233)
        | hskp11
        | hskp12 )
      & ( ~ ndr1_0
        | ~ c0_1(X232)
        | ~ c1_1(X232)
        | ~ c3_1(X232)
        | ~ ndr1_0
        | c2_1(X231)
        | ~ c1_1(X231)
        | ~ c3_1(X231)
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X230)
        | ~ c0_1(X230)
        | ~ c1_1(X230)
        | hskp16
        | hskp24 )
      & ( ~ ndr1_0
        | c2_1(X229)
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | hskp1
        | hskp22 )
      & ( ~ ndr1_0
        | c3_1(X228)
        | ~ c0_1(X228)
        | ~ c1_1(X228)
        | ~ ndr1_0
        | c2_1(X227)
        | ~ c1_1(X227)
        | ~ c3_1(X227)
        | ~ ndr1_0
        | c2_1(X226)
        | c3_1(X226)
        | ~ c1_1(X226) )
      & ( ~ ndr1_0
        | c2_1(X225)
        | c3_1(X225)
        | ~ c0_1(X225)
        | hskp16
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X224)
        | ~ c2_1(X224)
        | ~ c3_1(X224)
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c1_1(X223)
        | ~ c2_1(X223)
        | ~ c3_1(X223)
        | ~ ndr1_0
        | c1_1(X222)
        | ~ c2_1(X222)
        | ~ c3_1(X222)
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X221)
        | ~ c0_1(X221)
        | ~ c3_1(X221)
        | hskp6
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X220)
        | ~ c0_1(X220)
        | ~ c3_1(X220)
        | hskp30
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X219)
        | ~ c0_1(X219)
        | ~ c2_1(X219)
        | hskp10
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X218)
        | c3_1(X218)
        | ~ c2_1(X218)
        | hskp3
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X217)
        | c3_1(X217)
        | ~ c2_1(X217)
        | hskp23
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X216)
        | c2_1(X216)
        | ~ c3_1(X216)
        | hskp22
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X215)
        | c2_1(X215)
        | ~ c3_1(X215)
        | hskp1
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X214)
        | c3_1(X214)
        | ~ c1_1(X214)
        | ~ ndr1_0
        | c1_1(X213)
        | c2_1(X213)
        | ~ c3_1(X213)
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X212)
        | c2_1(X212)
        | ~ c0_1(X212)
        | hskp4
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X211)
        | c2_1(X211)
        | ~ c0_1(X211)
        | hskp30
        | hskp5 )
      & ( ~ ndr1_0
        | c2_1(X210)
        | ~ c1_1(X210)
        | ~ c3_1(X210)
        | ~ ndr1_0
        | c1_1(X209)
        | ~ c2_1(X209)
        | ~ c3_1(X209)
        | ~ ndr1_0
        | c1_1(X208)
        | c2_1(X208)
        | ~ c0_1(X208) )
      & ( ~ ndr1_0
        | c1_1(X207)
        | ~ c2_1(X207)
        | ~ c3_1(X207)
        | ~ ndr1_0
        | c1_1(X206)
        | ~ c0_1(X206)
        | ~ c2_1(X206)
        | ~ ndr1_0
        | c1_1(X205)
        | c2_1(X205)
        | ~ c0_1(X205) )
      & ( ~ ndr1_0
        | c2_1(X204)
        | ~ c0_1(X204)
        | ~ c1_1(X204)
        | ~ ndr1_0
        | c1_1(X203)
        | c2_1(X203)
        | c3_1(X203)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X202)
        | ~ c0_1(X202)
        | ~ c1_1(X202)
        | ~ ndr1_0
        | c1_1(X201)
        | c3_1(X201)
        | ~ c2_1(X201)
        | ~ ndr1_0
        | c1_1(X200)
        | c2_1(X200)
        | c3_1(X200) )
      & ( ~ ndr1_0
        | c0_1(X199)
        | ~ c2_1(X199)
        | ~ c3_1(X199)
        | hskp13
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X198)
        | ~ c0_1(X198)
        | ~ c1_1(X198)
        | ~ ndr1_0
        | c0_1(X197)
        | ~ c2_1(X197)
        | ~ c3_1(X197) )
      & ( ~ ndr1_0
        | c1_1(X196)
        | ~ c0_1(X196)
        | ~ c3_1(X196)
        | ~ ndr1_0
        | c0_1(X195)
        | ~ c2_1(X195)
        | ~ c3_1(X195)
        | hskp19 )
      & ( ~ ndr1_0
        | c0_1(X194)
        | ~ c1_1(X194)
        | ~ c3_1(X194)
        | hskp4
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X193)
        | ~ c1_1(X193)
        | ~ c3_1(X193)
        | hskp13
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X192)
        | ~ c1_1(X192)
        | ~ c3_1(X192)
        | ~ ndr1_0
        | c0_1(X191)
        | ~ c1_1(X191)
        | ~ c3_1(X191)
        | hskp16 )
      & ( ~ ndr1_0
        | c3_1(X190)
        | ~ c0_1(X190)
        | ~ c1_1(X190)
        | ~ ndr1_0
        | c0_1(X189)
        | ~ c1_1(X189)
        | ~ c2_1(X189)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X188)
        | ~ c1_1(X188)
        | ~ c3_1(X188)
        | ~ ndr1_0
        | c0_1(X187)
        | ~ c1_1(X187)
        | ~ c2_1(X187)
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X186)
        | c3_1(X186)
        | ~ c1_1(X186)
        | ~ ndr1_0
        | c0_1(X185)
        | c3_1(X185)
        | ~ c2_1(X185)
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X184)
        | ~ c0_1(X184)
        | ~ c3_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | c3_1(X183)
        | ~ c2_1(X183)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X182)
        | ~ c1_1(X182)
        | ~ c3_1(X182)
        | ~ ndr1_0
        | c0_1(X181)
        | c3_1(X181)
        | ~ c2_1(X181)
        | hskp13 )
      & ( ~ ndr1_0
        | ~ c0_1(X180)
        | ~ c1_1(X180)
        | ~ c2_1(X180)
        | ~ ndr1_0
        | c2_1(X179)
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | ~ ndr1_0
        | c0_1(X178)
        | c3_1(X178)
        | ~ c1_1(X178) )
      & ( ~ ndr1_0
        | c0_1(X177)
        | ~ c1_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | c3_1(X176)
        | ~ c1_1(X176)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X175)
        | c2_1(X175)
        | ~ c3_1(X175)
        | hskp9
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X174)
        | ~ c0_1(X174)
        | ~ c1_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | c2_1(X173)
        | ~ c3_1(X173)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X172)
        | ~ c0_1(X172)
        | ~ c2_1(X172)
        | ~ ndr1_0
        | c0_1(X171)
        | c2_1(X171)
        | ~ c3_1(X171)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X170)
        | ~ c0_1(X170)
        | ~ c1_1(X170)
        | ~ ndr1_0
        | c1_1(X169)
        | c3_1(X169)
        | ~ c2_1(X169)
        | ~ ndr1_0
        | c0_1(X168)
        | c2_1(X168)
        | ~ c3_1(X168) )
      & ( ~ ndr1_0
        | c2_1(X167)
        | c3_1(X167)
        | ~ c1_1(X167)
        | ~ ndr1_0
        | c1_1(X166)
        | c2_1(X166)
        | ~ c3_1(X166)
        | ~ ndr1_0
        | c0_1(X165)
        | c2_1(X165)
        | ~ c3_1(X165) )
      & ( ~ ndr1_0
        | c2_1(X164)
        | ~ c0_1(X164)
        | ~ c1_1(X164)
        | ~ ndr1_0
        | c1_1(X163)
        | c2_1(X163)
        | ~ c0_1(X163)
        | ~ ndr1_0
        | c0_1(X162)
        | c2_1(X162)
        | ~ c3_1(X162) )
      & ( ~ ndr1_0
        | c0_1(X161)
        | ~ c2_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | c0_1(X160)
        | c2_1(X160)
        | ~ c3_1(X160)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X159)
        | ~ c1_1(X159)
        | ~ c3_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c2_1(X158)
        | ~ c3_1(X158)
        | hskp29 )
      & ( ~ ndr1_0
        | c2_1(X157)
        | ~ c1_1(X157)
        | ~ c3_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | c3_1(X156)
        | ~ c1_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c2_1(X155)
        | ~ c3_1(X155) )
      & ( ~ ndr1_0
        | c0_1(X154)
        | c2_1(X154)
        | ~ c1_1(X154)
        | hskp28
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X153)
        | ~ c1_1(X153)
        | ~ c2_1(X153)
        | ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | ~ c1_1(X152)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c1_1(X151)
        | ~ c2_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c0_1(X150)
        | c2_1(X150)
        | c3_1(X150) )
      & ( ~ ndr1_0
        | c2_1(X149)
        | ~ c0_1(X149)
        | ~ c3_1(X149)
        | ~ ndr1_0
        | c0_1(X148)
        | c2_1(X148)
        | c3_1(X148)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X147)
        | c1_1(X147)
        | ~ c3_1(X147)
        | hskp29
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c1_1(X145)
        | ~ c3_1(X145)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | c1_1(X144)
        | ~ c2_1(X144)
        | hskp4
        | hskp27 )
      & ( ~ ndr1_0
        | c2_1(X143)
        | ~ c0_1(X143)
        | ~ c1_1(X143)
        | ~ ndr1_0
        | c0_1(X142)
        | c1_1(X142)
        | ~ c2_1(X142)
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X141)
        | c2_1(X141)
        | c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | c1_1(X140)
        | ~ c2_1(X140)
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c1_1(X139)
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | ~ ndr1_0
        | c0_1(X138)
        | c1_1(X138)
        | c3_1(X138)
        | hskp28 )
      & ( ~ ndr1_0
        | c2_1(X137)
        | ~ c0_1(X137)
        | ~ c1_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | c3_1(X136)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X135)
        | ~ c0_1(X135)
        | ~ c2_1(X135)
        | ~ ndr1_0
        | c1_1(X134)
        | c2_1(X134)
        | ~ c3_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | c3_1(X133) )
      & ( ~ ndr1_0
        | c3_1(X132)
        | ~ c1_1(X132)
        | ~ c2_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c3_1(X131)
        | ~ c2_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | c3_1(X130) )
      & ( ~ ndr1_0
        | ~ c0_1(X129)
        | ~ c1_1(X129)
        | ~ c2_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c2_1(X128)
        | ~ c3_1(X128)
        | ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | c3_1(X127) )
      & ( ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | c3_1(X126)
        | ~ ndr1_0
        | c0_1(X125)
        | c1_1(X125)
        | c3_1(X125)
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X124)
        | c2_1(X124)
        | ~ c0_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | c2_1(X123)
        | hskp0 )
      & ( ~ hskp0
        | ( ndr1_0
          & ~ c1_1(a1969)
          & ~ c2_1(a1969)
          & ~ c3_1(a1969) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a1971)
          & c2_1(a1971)
          & ~ c1_1(a1971) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a1973)
          & c3_1(a1973)
          & ~ c2_1(a1973) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1974)
          & c2_1(a1974)
          & ~ c0_1(a1974) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a1975)
          & ~ c1_1(a1975)
          & ~ c2_1(a1975) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a1977)
          & ~ c2_1(a1977)
          & ~ c3_1(a1977) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c3_1(a1979)
          & ~ c0_1(a1979)
          & ~ c2_1(a1979) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a1981)
          & c1_1(a1981)
          & ~ c3_1(a1981) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c3_1(a1983)
          & ~ c0_1(a1983)
          & ~ c1_1(a1983) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a1985)
          & ~ c0_1(a1985)
          & ~ c3_1(a1985) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a1987)
          & c3_1(a1987)
          & ~ c1_1(a1987) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a1989)
          & ~ c0_1(a1989)
          & ~ c3_1(a1989) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a1990)
          & ~ c1_1(a1990)
          & ~ c2_1(a1990) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a1991)
          & c2_1(a1991)
          & ~ c3_1(a1991) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a1992)
          & ~ c0_1(a1992)
          & ~ c2_1(a1992) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1993)
          & ~ c0_1(a1993)
          & ~ c1_1(a1993) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a1996)
          & c3_1(a1996)
          & ~ c2_1(a1996) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a1998)
          & c3_1(a1998)
          & ~ c0_1(a1998) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a2000)
          & ~ c1_1(a2000)
          & ~ c3_1(a2000) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a2001)
          & c3_1(a2001)
          & ~ c0_1(a2001) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a2003)
          & c2_1(a2003)
          & ~ c3_1(a2003) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a2009)
          & ~ c1_1(a2009)
          & ~ c3_1(a2009) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a2012)
          & ~ c2_1(a2012)
          & ~ c3_1(a2012) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a2014)
          & c1_1(a2014)
          & ~ c2_1(a2014) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a2031)
          & ~ c1_1(a2031)
          & ~ c2_1(a2031) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a2041)
          & ~ c2_1(a2041)
          & ~ c3_1(a2041) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2049)
          & c3_1(a2049)
          & ~ c1_1(a2049) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a1970)
          & c2_1(a1970)
          & c3_1(a1970) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1972)
          & c1_1(a1972)
          & c3_1(a1972) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a1978)
          & c1_1(a1978)
          & c2_1(a1978) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2005)
          & c2_1(a2005)
          & c3_1(a2005) ) )
      & ( hskp28
        | hskp1
        | hskp21 )
      & ( hskp23
        | hskp5
        | hskp8 )
      & ( hskp30
        | hskp27
        | hskp6 )
      & ( hskp16
        | hskp19
        | hskp15 )
      & ( hskp16
        | hskp21
        | hskp18 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244] :
      ( ( ~ ndr1_0
        | ~ c1_1(X244)
        | ~ c2_1(X244)
        | ~ c3_1(X244)
        | hskp4
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X243)
        | ~ c1_1(X243)
        | ~ c3_1(X243)
        | hskp26
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c0_1(X242)
        | ~ c1_1(X242)
        | ~ c2_1(X242)
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X241)
        | ~ c1_1(X241)
        | ~ c2_1(X241)
        | hskp3
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X240)
        | ~ c1_1(X240)
        | ~ c2_1(X240)
        | hskp1
        | hskp4 )
      & ( ~ ndr1_0
        | c3_1(X239)
        | ~ c1_1(X239)
        | ~ c2_1(X239)
        | hskp14
        | hskp10 )
      & ( ~ ndr1_0
        | c3_1(X238)
        | ~ c0_1(X238)
        | ~ c2_1(X238)
        | hskp24
        | hskp25 )
      & ( ~ ndr1_0
        | c3_1(X237)
        | ~ c0_1(X237)
        | ~ c2_1(X237)
        | hskp12
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X236)
        | ~ c0_1(X236)
        | ~ c2_1(X236)
        | hskp4
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X235)
        | ~ c1_1(X235)
        | ~ c3_1(X235)
        | ~ ndr1_0
        | c3_1(X234)
        | ~ c0_1(X234)
        | ~ c2_1(X234)
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X233)
        | ~ c1_1(X233)
        | ~ c3_1(X233)
        | hskp11
        | hskp12 )
      & ( ~ ndr1_0
        | ~ c0_1(X232)
        | ~ c1_1(X232)
        | ~ c3_1(X232)
        | ~ ndr1_0
        | c2_1(X231)
        | ~ c1_1(X231)
        | ~ c3_1(X231)
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X230)
        | ~ c0_1(X230)
        | ~ c1_1(X230)
        | hskp16
        | hskp24 )
      & ( ~ ndr1_0
        | c2_1(X229)
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | hskp1
        | hskp22 )
      & ( ~ ndr1_0
        | c3_1(X228)
        | ~ c0_1(X228)
        | ~ c1_1(X228)
        | ~ ndr1_0
        | c2_1(X227)
        | ~ c1_1(X227)
        | ~ c3_1(X227)
        | ~ ndr1_0
        | c2_1(X226)
        | c3_1(X226)
        | ~ c1_1(X226) )
      & ( ~ ndr1_0
        | c2_1(X225)
        | c3_1(X225)
        | ~ c0_1(X225)
        | hskp16
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X224)
        | ~ c2_1(X224)
        | ~ c3_1(X224)
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c1_1(X223)
        | ~ c2_1(X223)
        | ~ c3_1(X223)
        | ~ ndr1_0
        | c1_1(X222)
        | ~ c2_1(X222)
        | ~ c3_1(X222)
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X221)
        | ~ c0_1(X221)
        | ~ c3_1(X221)
        | hskp6
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X220)
        | ~ c0_1(X220)
        | ~ c3_1(X220)
        | hskp30
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X219)
        | ~ c0_1(X219)
        | ~ c2_1(X219)
        | hskp10
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X218)
        | c3_1(X218)
        | ~ c2_1(X218)
        | hskp3
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X217)
        | c3_1(X217)
        | ~ c2_1(X217)
        | hskp23
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X216)
        | c2_1(X216)
        | ~ c3_1(X216)
        | hskp22
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X215)
        | c2_1(X215)
        | ~ c3_1(X215)
        | hskp1
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X214)
        | c3_1(X214)
        | ~ c1_1(X214)
        | ~ ndr1_0
        | c1_1(X213)
        | c2_1(X213)
        | ~ c3_1(X213)
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X212)
        | c2_1(X212)
        | ~ c0_1(X212)
        | hskp4
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X211)
        | c2_1(X211)
        | ~ c0_1(X211)
        | hskp30
        | hskp5 )
      & ( ~ ndr1_0
        | c2_1(X210)
        | ~ c1_1(X210)
        | ~ c3_1(X210)
        | ~ ndr1_0
        | c1_1(X209)
        | ~ c2_1(X209)
        | ~ c3_1(X209)
        | ~ ndr1_0
        | c1_1(X208)
        | c2_1(X208)
        | ~ c0_1(X208) )
      & ( ~ ndr1_0
        | c1_1(X207)
        | ~ c2_1(X207)
        | ~ c3_1(X207)
        | ~ ndr1_0
        | c1_1(X206)
        | ~ c0_1(X206)
        | ~ c2_1(X206)
        | ~ ndr1_0
        | c1_1(X205)
        | c2_1(X205)
        | ~ c0_1(X205) )
      & ( ~ ndr1_0
        | c2_1(X204)
        | ~ c0_1(X204)
        | ~ c1_1(X204)
        | ~ ndr1_0
        | c1_1(X203)
        | c2_1(X203)
        | c3_1(X203)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X202)
        | ~ c0_1(X202)
        | ~ c1_1(X202)
        | ~ ndr1_0
        | c1_1(X201)
        | c3_1(X201)
        | ~ c2_1(X201)
        | ~ ndr1_0
        | c1_1(X200)
        | c2_1(X200)
        | c3_1(X200) )
      & ( ~ ndr1_0
        | c0_1(X199)
        | ~ c2_1(X199)
        | ~ c3_1(X199)
        | hskp13
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X198)
        | ~ c0_1(X198)
        | ~ c1_1(X198)
        | ~ ndr1_0
        | c0_1(X197)
        | ~ c2_1(X197)
        | ~ c3_1(X197) )
      & ( ~ ndr1_0
        | c1_1(X196)
        | ~ c0_1(X196)
        | ~ c3_1(X196)
        | ~ ndr1_0
        | c0_1(X195)
        | ~ c2_1(X195)
        | ~ c3_1(X195)
        | hskp19 )
      & ( ~ ndr1_0
        | c0_1(X194)
        | ~ c1_1(X194)
        | ~ c3_1(X194)
        | hskp4
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X193)
        | ~ c1_1(X193)
        | ~ c3_1(X193)
        | hskp13
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X192)
        | ~ c1_1(X192)
        | ~ c3_1(X192)
        | ~ ndr1_0
        | c0_1(X191)
        | ~ c1_1(X191)
        | ~ c3_1(X191)
        | hskp16 )
      & ( ~ ndr1_0
        | c3_1(X190)
        | ~ c0_1(X190)
        | ~ c1_1(X190)
        | ~ ndr1_0
        | c0_1(X189)
        | ~ c1_1(X189)
        | ~ c2_1(X189)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X188)
        | ~ c1_1(X188)
        | ~ c3_1(X188)
        | ~ ndr1_0
        | c0_1(X187)
        | ~ c1_1(X187)
        | ~ c2_1(X187)
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X186)
        | c3_1(X186)
        | ~ c1_1(X186)
        | ~ ndr1_0
        | c0_1(X185)
        | c3_1(X185)
        | ~ c2_1(X185)
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X184)
        | ~ c0_1(X184)
        | ~ c3_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | c3_1(X183)
        | ~ c2_1(X183)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X182)
        | ~ c1_1(X182)
        | ~ c3_1(X182)
        | ~ ndr1_0
        | c0_1(X181)
        | c3_1(X181)
        | ~ c2_1(X181)
        | hskp13 )
      & ( ~ ndr1_0
        | ~ c0_1(X180)
        | ~ c1_1(X180)
        | ~ c2_1(X180)
        | ~ ndr1_0
        | c2_1(X179)
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | ~ ndr1_0
        | c0_1(X178)
        | c3_1(X178)
        | ~ c1_1(X178) )
      & ( ~ ndr1_0
        | c0_1(X177)
        | ~ c1_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | c3_1(X176)
        | ~ c1_1(X176)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X175)
        | c2_1(X175)
        | ~ c3_1(X175)
        | hskp9
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X174)
        | ~ c0_1(X174)
        | ~ c1_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | c2_1(X173)
        | ~ c3_1(X173)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X172)
        | ~ c0_1(X172)
        | ~ c2_1(X172)
        | ~ ndr1_0
        | c0_1(X171)
        | c2_1(X171)
        | ~ c3_1(X171)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X170)
        | ~ c0_1(X170)
        | ~ c1_1(X170)
        | ~ ndr1_0
        | c1_1(X169)
        | c3_1(X169)
        | ~ c2_1(X169)
        | ~ ndr1_0
        | c0_1(X168)
        | c2_1(X168)
        | ~ c3_1(X168) )
      & ( ~ ndr1_0
        | c2_1(X167)
        | c3_1(X167)
        | ~ c1_1(X167)
        | ~ ndr1_0
        | c1_1(X166)
        | c2_1(X166)
        | ~ c3_1(X166)
        | ~ ndr1_0
        | c0_1(X165)
        | c2_1(X165)
        | ~ c3_1(X165) )
      & ( ~ ndr1_0
        | c2_1(X164)
        | ~ c0_1(X164)
        | ~ c1_1(X164)
        | ~ ndr1_0
        | c1_1(X163)
        | c2_1(X163)
        | ~ c0_1(X163)
        | ~ ndr1_0
        | c0_1(X162)
        | c2_1(X162)
        | ~ c3_1(X162) )
      & ( ~ ndr1_0
        | c0_1(X161)
        | ~ c2_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | c0_1(X160)
        | c2_1(X160)
        | ~ c3_1(X160)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X159)
        | ~ c1_1(X159)
        | ~ c3_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c2_1(X158)
        | ~ c3_1(X158)
        | hskp29 )
      & ( ~ ndr1_0
        | c2_1(X157)
        | ~ c1_1(X157)
        | ~ c3_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | c3_1(X156)
        | ~ c1_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c2_1(X155)
        | ~ c3_1(X155) )
      & ( ~ ndr1_0
        | c0_1(X154)
        | c2_1(X154)
        | ~ c1_1(X154)
        | hskp28
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X153)
        | ~ c1_1(X153)
        | ~ c2_1(X153)
        | ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | ~ c1_1(X152)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c1_1(X151)
        | ~ c2_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c0_1(X150)
        | c2_1(X150)
        | c3_1(X150) )
      & ( ~ ndr1_0
        | c2_1(X149)
        | ~ c0_1(X149)
        | ~ c3_1(X149)
        | ~ ndr1_0
        | c0_1(X148)
        | c2_1(X148)
        | c3_1(X148)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X147)
        | c1_1(X147)
        | ~ c3_1(X147)
        | hskp29
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c1_1(X145)
        | ~ c3_1(X145)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | c1_1(X144)
        | ~ c2_1(X144)
        | hskp4
        | hskp27 )
      & ( ~ ndr1_0
        | c2_1(X143)
        | ~ c0_1(X143)
        | ~ c1_1(X143)
        | ~ ndr1_0
        | c0_1(X142)
        | c1_1(X142)
        | ~ c2_1(X142)
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X141)
        | c2_1(X141)
        | c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | c1_1(X140)
        | ~ c2_1(X140)
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c1_1(X139)
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | ~ ndr1_0
        | c0_1(X138)
        | c1_1(X138)
        | c3_1(X138)
        | hskp28 )
      & ( ~ ndr1_0
        | c2_1(X137)
        | ~ c0_1(X137)
        | ~ c1_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | c3_1(X136)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X135)
        | ~ c0_1(X135)
        | ~ c2_1(X135)
        | ~ ndr1_0
        | c1_1(X134)
        | c2_1(X134)
        | ~ c3_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | c3_1(X133) )
      & ( ~ ndr1_0
        | c3_1(X132)
        | ~ c1_1(X132)
        | ~ c2_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c3_1(X131)
        | ~ c2_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | c3_1(X130) )
      & ( ~ ndr1_0
        | ~ c0_1(X129)
        | ~ c1_1(X129)
        | ~ c2_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c2_1(X128)
        | ~ c3_1(X128)
        | ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | c3_1(X127) )
      & ( ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | c3_1(X126)
        | ~ ndr1_0
        | c0_1(X125)
        | c1_1(X125)
        | c3_1(X125)
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X124)
        | c2_1(X124)
        | ~ c0_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | c2_1(X123)
        | hskp0 )
      & ( ndr1_0
        | ~ hskp0 )
      & ( ~ c1_1(a1969)
        | ~ hskp0 )
      & ( ~ c2_1(a1969)
        | ~ hskp0 )
      & ( ~ c3_1(a1969)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a1971)
        | ~ hskp1 )
      & ( c2_1(a1971)
        | ~ hskp1 )
      & ( ~ c1_1(a1971)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c1_1(a1973)
        | ~ hskp2 )
      & ( c3_1(a1973)
        | ~ hskp2 )
      & ( ~ c2_1(a1973)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c1_1(a1974)
        | ~ hskp3 )
      & ( c2_1(a1974)
        | ~ hskp3 )
      & ( ~ c0_1(a1974)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c0_1(a1975)
        | ~ hskp4 )
      & ( ~ c1_1(a1975)
        | ~ hskp4 )
      & ( ~ c2_1(a1975)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c1_1(a1977)
        | ~ hskp5 )
      & ( ~ c2_1(a1977)
        | ~ hskp5 )
      & ( ~ c3_1(a1977)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c3_1(a1979)
        | ~ hskp6 )
      & ( ~ c0_1(a1979)
        | ~ hskp6 )
      & ( ~ c2_1(a1979)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c0_1(a1981)
        | ~ hskp7 )
      & ( c1_1(a1981)
        | ~ hskp7 )
      & ( ~ c3_1(a1981)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c3_1(a1983)
        | ~ hskp8 )
      & ( ~ c0_1(a1983)
        | ~ hskp8 )
      & ( ~ c1_1(a1983)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c1_1(a1985)
        | ~ hskp9 )
      & ( ~ c0_1(a1985)
        | ~ hskp9 )
      & ( ~ c3_1(a1985)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c2_1(a1987)
        | ~ hskp10 )
      & ( c3_1(a1987)
        | ~ hskp10 )
      & ( ~ c1_1(a1987)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c2_1(a1989)
        | ~ hskp11 )
      & ( ~ c0_1(a1989)
        | ~ hskp11 )
      & ( ~ c3_1(a1989)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c3_1(a1990)
        | ~ hskp12 )
      & ( ~ c1_1(a1990)
        | ~ hskp12 )
      & ( ~ c2_1(a1990)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c0_1(a1991)
        | ~ hskp13 )
      & ( c2_1(a1991)
        | ~ hskp13 )
      & ( ~ c3_1(a1991)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c1_1(a1992)
        | ~ hskp14 )
      & ( ~ c0_1(a1992)
        | ~ hskp14 )
      & ( ~ c2_1(a1992)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c2_1(a1993)
        | ~ hskp15 )
      & ( ~ c0_1(a1993)
        | ~ hskp15 )
      & ( ~ c1_1(a1993)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c0_1(a1996)
        | ~ hskp16 )
      & ( c3_1(a1996)
        | ~ hskp16 )
      & ( ~ c2_1(a1996)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c1_1(a1998)
        | ~ hskp17 )
      & ( c3_1(a1998)
        | ~ hskp17 )
      & ( ~ c0_1(a1998)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( ~ c0_1(a2000)
        | ~ hskp18 )
      & ( ~ c1_1(a2000)
        | ~ hskp18 )
      & ( ~ c3_1(a2000)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c2_1(a2001)
        | ~ hskp19 )
      & ( c3_1(a2001)
        | ~ hskp19 )
      & ( ~ c0_1(a2001)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c1_1(a2003)
        | ~ hskp20 )
      & ( c2_1(a2003)
        | ~ hskp20 )
      & ( ~ c3_1(a2003)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c2_1(a2009)
        | ~ hskp21 )
      & ( ~ c1_1(a2009)
        | ~ hskp21 )
      & ( ~ c3_1(a2009)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c0_1(a2012)
        | ~ hskp22 )
      & ( ~ c2_1(a2012)
        | ~ hskp22 )
      & ( ~ c3_1(a2012)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c0_1(a2014)
        | ~ hskp23 )
      & ( c1_1(a2014)
        | ~ hskp23 )
      & ( ~ c2_1(a2014)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( ~ c0_1(a2031)
        | ~ hskp24 )
      & ( ~ c1_1(a2031)
        | ~ hskp24 )
      & ( ~ c2_1(a2031)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( ~ c0_1(a2041)
        | ~ hskp25 )
      & ( ~ c2_1(a2041)
        | ~ hskp25 )
      & ( ~ c3_1(a2041)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a2049)
        | ~ hskp26 )
      & ( c3_1(a2049)
        | ~ hskp26 )
      & ( ~ c1_1(a2049)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c1_1(a1970)
        | ~ hskp27 )
      & ( c2_1(a1970)
        | ~ hskp27 )
      & ( c3_1(a1970)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a1972)
        | ~ hskp28 )
      & ( c1_1(a1972)
        | ~ hskp28 )
      & ( c3_1(a1972)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c0_1(a1978)
        | ~ hskp29 )
      & ( c1_1(a1978)
        | ~ hskp29 )
      & ( c2_1(a1978)
        | ~ hskp29 )
      & ( ndr1_0
        | ~ hskp30 )
      & ( c0_1(a2005)
        | ~ hskp30 )
      & ( c2_1(a2005)
        | ~ hskp30 )
      & ( c3_1(a2005)
        | ~ hskp30 )
      & ( hskp28
        | hskp1
        | hskp21 )
      & ( hskp23
        | hskp5
        | hskp8 )
      & ( hskp30
        | hskp27
        | hskp6 )
      & ( hskp16
        | hskp19
        | hskp15 )
      & ( hskp16
        | hskp21
        | hskp18 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( hskp18
    | hskp21
    | hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(9,negated_conjecture,
    ( hskp15
    | hskp19
    | hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(10,negated_conjecture,
    ( hskp6
    | hskp27
    | hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    ( hskp8
    | hskp5
    | hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(12,negated_conjecture,
    ( hskp21
    | hskp1
    | hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( c3_1(a2005)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(14,negated_conjecture,
    ( c2_1(a2005)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(15,negated_conjecture,
    ( c0_1(a2005)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(17,negated_conjecture,
    ( c2_1(a1978)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(18,negated_conjecture,
    ( c1_1(a1978)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(19,negated_conjecture,
    ( c0_1(a1978)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(21,negated_conjecture,
    ( c3_1(a1972)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( c1_1(a1972)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(23,negated_conjecture,
    ( c0_1(a1972)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(24,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(25,negated_conjecture,
    ( c3_1(a1970)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( c2_1(a1970)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(27,negated_conjecture,
    ( c1_1(a1970)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(29,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a2049) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( c3_1(a2049)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(31,negated_conjecture,
    ( c0_1(a2049)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(33,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a2041) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(34,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2041) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(35,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a2041) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(37,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a2031) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(38,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a2031) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(39,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a2031) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(41,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a2014) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( c1_1(a2014)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(43,negated_conjecture,
    ( c0_1(a2014)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(45,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a2012) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(46,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a2012) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(47,negated_conjecture,
    ( c0_1(a2012)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(49,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a2009) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a2009) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(51,negated_conjecture,
    ( c2_1(a2009)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(52,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(53,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a2003) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(54,negated_conjecture,
    ( c2_1(a2003)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(55,negated_conjecture,
    ( c1_1(a2003)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(57,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a2001) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( c3_1(a2001)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(59,negated_conjecture,
    ( c2_1(a2001)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(61,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2000) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a2000) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(63,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a2000) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(65,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1998) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(66,negated_conjecture,
    ( c3_1(a1998)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(67,negated_conjecture,
    ( c1_1(a1998)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(69,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1996) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( c3_1(a1996)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(71,negated_conjecture,
    ( c0_1(a1996)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(73,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1993) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(74,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(75,negated_conjecture,
    ( c2_1(a1993)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(77,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1992) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(78,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a1992) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(79,negated_conjecture,
    ( c1_1(a1992)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(81,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a1991) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( c2_1(a1991)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(83,negated_conjecture,
    ( c0_1(a1991)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(85,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a1990) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(86,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1990) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(87,negated_conjecture,
    ( c3_1(a1990)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(89,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1989) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1989) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(91,negated_conjecture,
    ( c2_1(a1989)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(93,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1987) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(94,negated_conjecture,
    ( c3_1(a1987)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(95,negated_conjecture,
    ( c2_1(a1987)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(97,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a1985) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(98,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a1985) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(99,negated_conjecture,
    ( c1_1(a1985)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(101,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(102,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a1983) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(103,negated_conjecture,
    ( c3_1(a1983)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(105,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1981) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( c1_1(a1981)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(107,negated_conjecture,
    ( c0_1(a1981)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(109,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1979) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(110,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a1979) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(111,negated_conjecture,
    ( c3_1(a1979)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(113,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1977) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1977) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(115,negated_conjecture,
    ( c1_1(a1977)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(117,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1975) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(118,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1975) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(119,negated_conjecture,
    ( c0_1(a1975)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(121,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1974) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(122,negated_conjecture,
    ( c2_1(a1974)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(123,negated_conjecture,
    ( c1_1(a1974)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(125,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a1973) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(126,negated_conjecture,
    ( c3_1(a1973)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(127,negated_conjecture,
    ( c1_1(a1973)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1971) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(130,negated_conjecture,
    ( c2_1(a1971)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(131,negated_conjecture,
    ( c0_1(a1971)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(133,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1969) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(134,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1969) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(135,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1969) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(137,negated_conjecture,
    ( hskp0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(138,negated_conjecture,
    ( hskp27
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(142,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(143,negated_conjecture,
    ( hskp28
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(144,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(146,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(147,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(148,negated_conjecture,
    ( hskp6
    | hskp29
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(149,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(150,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(152,negated_conjecture,
    ( hskp8
    | hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(153,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X3)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(154,negated_conjecture,
    ( hskp29
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(155,negated_conjecture,
    ( hskp9
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(157,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(158,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X3)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(159,negated_conjecture,
    ( hskp8
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(160,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( hskp11
    | hskp9
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(163,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(164,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(165,negated_conjecture,
    ( hskp14
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(166,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(167,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(168,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(169,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(170,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(171,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(173,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(174,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(176,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(177,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(178,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp5
    | hskp30
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(180,negated_conjecture,
    ( hskp10
    | hskp4
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp21
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(182,negated_conjecture,
    ( hskp10
    | hskp1
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(183,negated_conjecture,
    ( hskp2
    | hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(184,negated_conjecture,
    ( hskp6
    | hskp23
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(185,negated_conjecture,
    ( hskp17
    | hskp3
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(186,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(187,negated_conjecture,
    ( hskp15
    | hskp30
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(188,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(189,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(190,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(191,negated_conjecture,
    ( hskp15
    | hskp16
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(193,negated_conjecture,
    ( hskp22
    | hskp1
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(194,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(195,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(196,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(197,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(198,negated_conjecture,
    ( hskp17
    | hskp4
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(199,negated_conjecture,
    ( hskp0
    | hskp12
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(200,negated_conjecture,
    ( hskp25
    | hskp24
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(201,negated_conjecture,
    ( hskp10
    | hskp14
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(202,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(203,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(204,negated_conjecture,
    ( hskp17
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(205,negated_conjecture,
    ( hskp25
    | hskp26
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(206,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(207,negated_conjecture,
    ( ndr1_0
    | hskp21
    | hskp1 ),
    inference(spm,[status(thm)],[24,12,theory(equality)]) ).

cnf(235,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[182,190]) ).

cnf(850,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[160,173]) ).

cnf(1144,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[158,173]) ).

cnf(1266,negated_conjecture,
    ( hskp21
    | ndr1_0 ),
    inference(csr,[status(thm)],[207,132]) ).

cnf(1267,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[1266,52]) ).

cnf(1268,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[163,1267,theory(equality)]) ).

cnf(1269,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1268,theory(equality)]) ).

cnf(1272,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[178,1267,theory(equality)]) ).

cnf(1273,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1272,theory(equality)]) ).

cnf(1274,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[177,1267,theory(equality)]) ).

cnf(1275,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1274,theory(equality)]) ).

cnf(1276,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[153,1267,theory(equality)]) ).

cnf(1277,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1276,theory(equality)]) ).

cnf(1280,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | $false ),
    inference(rw,[status(thm)],[1144,1267,theory(equality)]) ).

cnf(1281,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    inference(cn,[status(thm)],[1280,theory(equality)]) ).

cnf(1286,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[157,1267,theory(equality)]) ).

cnf(1287,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1286,theory(equality)]) ).

cnf(1292,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[189,1267,theory(equality)]) ).

cnf(1293,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1292,theory(equality)]) ).

cnf(1294,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[195,1267,theory(equality)]) ).

cnf(1295,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1294,theory(equality)]) ).

cnf(1296,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[169,1267,theory(equality)]) ).

cnf(1297,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1296,theory(equality)]) ).

cnf(1298,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[197,1267,theory(equality)]) ).

cnf(1299,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1298,theory(equality)]) ).

cnf(1300,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[172,1267,theory(equality)]) ).

cnf(1301,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1300,theory(equality)]) ).

cnf(1302,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[168,1267,theory(equality)]) ).

cnf(1303,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1302,theory(equality)]) ).

cnf(1304,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[167,1267,theory(equality)]) ).

cnf(1305,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1304,theory(equality)]) ).

cnf(1306,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[154,1267,theory(equality)]) ).

cnf(1307,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1306,theory(equality)]) ).

cnf(1308,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[143,1267,theory(equality)]) ).

cnf(1309,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1308,theory(equality)]) ).

cnf(1310,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[165,1267,theory(equality)]) ).

cnf(1311,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1310,theory(equality)]) ).

cnf(1312,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[164,1267,theory(equality)]) ).

cnf(1313,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1312,theory(equality)]) ).

cnf(1314,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[162,1267,theory(equality)]) ).

cnf(1315,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1314,theory(equality)]) ).

cnf(1316,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[850,1267,theory(equality)]) ).

cnf(1317,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1316,theory(equality)]) ).

cnf(1318,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[155,1267,theory(equality)]) ).

cnf(1319,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1318,theory(equality)]) ).

cnf(1320,negated_conjecture,
    ( hskp8
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[159,1267,theory(equality)]) ).

cnf(1321,negated_conjecture,
    ( hskp8
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1320,theory(equality)]) ).

cnf(1322,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[151,1267,theory(equality)]) ).

cnf(1323,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1322,theory(equality)]) ).

cnf(1324,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[147,1267,theory(equality)]) ).

cnf(1325,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1324,theory(equality)]) ).

cnf(1328,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[181,1267,theory(equality)]) ).

cnf(1329,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1328,theory(equality)]) ).

cnf(1330,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[166,1267,theory(equality)]) ).

cnf(1331,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1330,theory(equality)]) ).

cnf(1332,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[176,1267,theory(equality)]) ).

cnf(1333,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1332,theory(equality)]) ).

cnf(1334,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[149,1267,theory(equality)]) ).

cnf(1335,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1334,theory(equality)]) ).

cnf(1336,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[142,1267,theory(equality)]) ).

cnf(1337,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1336,theory(equality)]) ).

cnf(1338,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[144,1267,theory(equality)]) ).

cnf(1339,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1338,theory(equality)]) ).

cnf(1340,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp0
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[137,1267,theory(equality)]) ).

cnf(1341,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp0
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1340,theory(equality)]) ).

cnf(1342,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[138,1267,theory(equality)]) ).

cnf(1343,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[1342,theory(equality)]) ).

cnf(1344,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[173,1267,theory(equality)]) ).

cnf(1345,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1344,theory(equality)]) ).

cnf(1346,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[150,1267,theory(equality)]) ).

cnf(1347,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1346,theory(equality)]) ).

cnf(1348,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[205,1267,theory(equality)]) ).

cnf(1349,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1348,theory(equality)]) ).

cnf(1350,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[206,1267,theory(equality)]) ).

cnf(1351,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1350,theory(equality)]) ).

cnf(1352,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[203,1267,theory(equality)]) ).

cnf(1353,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1352,theory(equality)]) ).

cnf(1354,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[202,1267,theory(equality)]) ).

cnf(1355,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1354,theory(equality)]) ).

cnf(1356,negated_conjecture,
    ( hskp25
    | hskp24
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[200,1267,theory(equality)]) ).

cnf(1357,negated_conjecture,
    ( hskp25
    | hskp24
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1356,theory(equality)]) ).

cnf(1358,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[194,1267,theory(equality)]) ).

cnf(1359,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1358,theory(equality)]) ).

cnf(1360,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[187,1267,theory(equality)]) ).

cnf(1361,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1360,theory(equality)]) ).

cnf(1362,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[174,1267,theory(equality)]) ).

cnf(1363,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1362,theory(equality)]) ).

cnf(1364,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[170,1267,theory(equality)]) ).

cnf(1365,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1364,theory(equality)]) ).

cnf(1366,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[196,1267,theory(equality)]) ).

cnf(1367,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1366,theory(equality)]) ).

cnf(1368,negated_conjecture,
    ( hskp14
    | hskp10
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[201,1267,theory(equality)]) ).

cnf(1369,negated_conjecture,
    ( hskp14
    | hskp10
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1368,theory(equality)]) ).

cnf(1370,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,1267,theory(equality)]) ).

cnf(1371,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1370,theory(equality)]) ).

cnf(1372,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[188,1267,theory(equality)]) ).

cnf(1373,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1372,theory(equality)]) ).

cnf(1374,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[171,1267,theory(equality)]) ).

cnf(1375,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1374,theory(equality)]) ).

cnf(1376,negated_conjecture,
    ( hskp17
    | hskp4
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[198,1267,theory(equality)]) ).

cnf(1377,negated_conjecture,
    ( hskp17
    | hskp4
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1376,theory(equality)]) ).

cnf(1378,negated_conjecture,
    ( hskp22
    | hskp1
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[193,1267,theory(equality)]) ).

cnf(1379,negated_conjecture,
    ( hskp22
    | hskp1
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1378,theory(equality)]) ).

cnf(1380,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[199,1267,theory(equality)]) ).

cnf(1381,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1380,theory(equality)]) ).

cnf(1382,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[191,1267,theory(equality)]) ).

cnf(1383,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1382,theory(equality)]) ).

cnf(1384,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[161,1267,theory(equality)]) ).

cnf(1385,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1384,theory(equality)]) ).

cnf(1386,negated_conjecture,
    ( hskp28
    | hskp8
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[152,1267,theory(equality)]) ).

cnf(1387,negated_conjecture,
    ( hskp28
    | hskp8
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1386,theory(equality)]) ).

cnf(1388,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[148,1267,theory(equality)]) ).

cnf(1389,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1388,theory(equality)]) ).

cnf(1390,negated_conjecture,
    ( hskp23
    | hskp6
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[184,1267,theory(equality)]) ).

cnf(1391,negated_conjecture,
    ( hskp23
    | hskp6
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1390,theory(equality)]) ).

cnf(1392,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[179,1267,theory(equality)]) ).

cnf(1393,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1392,theory(equality)]) ).

cnf(1394,negated_conjecture,
    ( hskp27
    | hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[146,1267,theory(equality)]) ).

cnf(1395,negated_conjecture,
    ( hskp27
    | hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1394,theory(equality)]) ).

cnf(1396,negated_conjecture,
    ( hskp10
    | hskp4
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[180,1267,theory(equality)]) ).

cnf(1397,negated_conjecture,
    ( hskp10
    | hskp4
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1396,theory(equality)]) ).

cnf(1398,negated_conjecture,
    ( hskp17
    | hskp3
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[185,1267,theory(equality)]) ).

cnf(1399,negated_conjecture,
    ( hskp17
    | hskp3
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1398,theory(equality)]) ).

cnf(1400,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[183,1267,theory(equality)]) ).

cnf(1401,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1400,theory(equality)]) ).

cnf(1402,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[235,1267,theory(equality)]) ).

cnf(1403,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1402,theory(equality)]) ).

cnf(1404,negated_conjecture,
    ( hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[204,1267,theory(equality)]) ).

cnf(1405,negated_conjecture,
    ( hskp17
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1404,theory(equality)]) ).

cnf(1406,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[190,1267,theory(equality)]) ).

cnf(1407,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1406,theory(equality)]) ).

cnf(1440,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(a1979)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1403,111,theory(equality)]) ).

cnf(1441,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(a1983)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1403,103,theory(equality)]) ).

cnf(1443,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(a1990)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1403,87,theory(equality)]) ).

cnf(1444,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1403,70,theory(equality)]) ).

cnf(1447,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(a2049)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1403,30,theory(equality)]) ).

cnf(1453,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1441,101]) ).

cnf(1456,negated_conjecture,
    ( hskp17
    | ~ c2_1(a1981)
    | ~ c1_1(a1981)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1405,107,theory(equality)]) ).

cnf(1457,negated_conjecture,
    ( hskp17
    | ~ c2_1(a1991)
    | ~ c1_1(a1991)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1405,83,theory(equality)]) ).

cnf(1462,negated_conjecture,
    ( hskp17
    | ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1405,23,theory(equality)]) ).

cnf(1463,negated_conjecture,
    ( hskp17
    | ~ c2_1(a1978)
    | ~ c1_1(a1978)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1405,19,theory(equality)]) ).

cnf(1464,negated_conjecture,
    ( hskp17
    | ~ c2_1(a2005)
    | ~ c1_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1405,15,theory(equality)]) ).

cnf(1474,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(a1978)
    | ~ c1_1(a1978)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1269,19,theory(equality)]) ).

cnf(1476,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1443,86]) ).

cnf(1479,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1447,29]) ).

cnf(1488,negated_conjecture,
    ( hskp10
    | c1_1(a1983)
    | ~ c2_1(a1983)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1407,103,theory(equality)]) ).

cnf(1493,negated_conjecture,
    ( hskp10
    | c1_1(a2001)
    | ~ c2_1(a2001)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1407,58,theory(equality)]) ).

cnf(1494,negated_conjecture,
    ( hskp10
    | c1_1(a2049)
    | ~ c2_1(a2049)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1407,30,theory(equality)]) ).

cnf(1497,negated_conjecture,
    ( hskp10
    | c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1407,13,theory(equality)]) ).

cnf(1512,negated_conjecture,
    ( hskp17
    | ~ hskp7
    | ~ c2_1(a1981) ),
    inference(csr,[status(thm)],[1456,106]) ).

cnf(1513,negated_conjecture,
    ( hskp17
    | ~ hskp13
    | ~ c1_1(a1991) ),
    inference(csr,[status(thm)],[1457,82]) ).

cnf(1522,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ c2_1(a1972) ),
    inference(csr,[status(thm)],[1462,22]) ).

cnf(1523,negated_conjecture,
    ( hskp17
    | ~ hskp29
    | ~ c2_1(a1978) ),
    inference(csr,[status(thm)],[1463,18]) ).

cnf(1524,negated_conjecture,
    ( hskp17
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1523,17]) ).

cnf(1525,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c0_1(a1973)
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1349,126,theory(equality)]) ).

cnf(1530,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c0_1(a1996)
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1349,70,theory(equality)]) ).

cnf(1534,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c0_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1349,25,theory(equality)]) ).

cnf(1535,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c0_1(a1972)
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1349,21,theory(equality)]) ).

cnf(1536,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c0_1(a2005)
    | ~ c1_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1349,13,theory(equality)]) ).

cnf(1538,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a1975)
    | c1_1(X2)
    | c1_1(a1975)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1273,119,theory(equality)]) ).

cnf(1542,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a2012)
    | c1_1(X2)
    | c1_1(a2012)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1273,47,theory(equality)]) ).

cnf(1548,negated_conjecture,
    ( hskp17
    | ~ hskp30
    | ~ c1_1(a2005) ),
    inference(csr,[status(thm)],[1464,14]) ).

cnf(1555,negated_conjecture,
    ( hskp10
    | ~ hskp8
    | ~ c2_1(a1983) ),
    inference(csr,[status(thm)],[1488,101]) ).

cnf(1568,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1351,66,theory(equality)]) ).

cnf(1571,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ c2_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1351,25,theory(equality)]) ).

cnf(1574,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c1_1(a1971)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(a1971)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1275,131,theory(equality)]) ).

cnf(1584,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c1_1(a2005)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1275,15,theory(equality)]) ).

cnf(1585,negated_conjecture,
    ( hskp10
    | c1_1(a2001)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1493,59]) ).

cnf(1586,negated_conjecture,
    ( hskp10
    | ~ hskp26
    | ~ c2_1(a2049) ),
    inference(csr,[status(thm)],[1494,29]) ).

cnf(1591,negated_conjecture,
    ( hskp10
    | c1_1(a2005)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1497,14]) ).

cnf(1592,negated_conjecture,
    ( hskp17
    | hskp10
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1548,1591,theory(equality)]) ).

cnf(1593,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp27
    | hskp6 ),
    inference(spm,[status(thm)],[1592,10,theory(equality)]) ).

cnf(1594,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp2
    | ~ c0_1(a1973) ),
    inference(csr,[status(thm)],[1525,127]) ).

cnf(1606,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1353,23,theory(equality)]) ).

cnf(1609,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(a1973)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(a1973)
    | ~ c1_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1277,126,theory(equality)]) ).

cnf(1610,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(a1979)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(a1979)
    | ~ c1_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1277,111,theory(equality)]) ).

cnf(1614,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(a1996)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(a1996)
    | ~ c1_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1277,70,theory(equality)]) ).

cnf(1623,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ c2_1(a1981)
    | ~ c1_1(a1981)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1355,107,theory(equality)]) ).

cnf(1624,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ c2_1(a1991)
    | ~ c1_1(a1991)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1355,83,theory(equality)]) ).

cnf(1630,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ c2_1(a1978)
    | ~ c1_1(a1978)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1355,19,theory(equality)]) ).

cnf(1631,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ c2_1(a2005)
    | ~ c1_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1355,15,theory(equality)]) ).

cnf(1634,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp7
    | ~ c0_1(a1981)
    | ~ c2_1(a1981) ),
    inference(spm,[status(thm)],[105,1357,theory(equality)]) ).

cnf(1637,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp13
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,1357,theory(equality)]) ).

cnf(1639,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp20
    | ~ c0_1(a2003)
    | ~ c2_1(a2003) ),
    inference(spm,[status(thm)],[53,1357,theory(equality)]) ).

cnf(1640,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp21
    | ~ c0_1(a2009)
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,1357,theory(equality)]) ).

cnf(1664,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[1530,71]) ).

cnf(1669,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(a1981)
    | ~ c1_1(a1981)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1359,107,theory(equality)]) ).

cnf(1672,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(a2012)
    | ~ c1_1(a2012)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1359,47,theory(equality)]) ).

cnf(1673,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(a2014)
    | ~ c1_1(a2014)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1359,43,theory(equality)]) ).

cnf(1675,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1359,23,theory(equality)]) ).

cnf(1691,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp7
    | ~ c2_1(a1981) ),
    inference(csr,[status(thm)],[1634,107]) ).

cnf(1698,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp13
    | ~ c0_1(a1991) ),
    inference(csr,[status(thm)],[1637,82]) ).

cnf(1699,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp13 ),
    inference(csr,[status(thm)],[1698,83]) ).

cnf(1706,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp27
    | ~ c0_1(a1970) ),
    inference(csr,[status(thm)],[1534,27]) ).

cnf(1707,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp28
    | ~ c0_1(a1972) ),
    inference(csr,[status(thm)],[1535,22]) ).

cnf(1708,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1707,23]) ).

cnf(1713,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(a1987)
    | ~ c0_1(a1987)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1361,94,theory(equality)]) ).

cnf(1715,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(a1996)
    | ~ c0_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1361,70,theory(equality)]) ).

cnf(1718,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(a2049)
    | ~ c0_1(a2049)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1361,30,theory(equality)]) ).

cnf(1727,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(a1996)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1281,71,theory(equality)]) ).

cnf(1729,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(a2014)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a2014)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1281,43,theory(equality)]) ).

cnf(1737,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp20
    | ~ c0_1(a2003) ),
    inference(csr,[status(thm)],[1639,54]) ).

cnf(1738,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp21
    | ~ c0_1(a2009) ),
    inference(csr,[status(thm)],[1640,51]) ).

cnf(1742,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp30
    | ~ c1_1(a2005) ),
    inference(csr,[status(thm)],[1536,15]) ).

cnf(1743,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp10
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1742,1591,theory(equality)]) ).

cnf(1757,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(a1998)
    | ~ c2_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1363,66,theory(equality)]) ).

cnf(1758,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(a2001)
    | ~ c2_1(a2001)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1363,58,theory(equality)]) ).

cnf(1760,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(a1970)
    | ~ c2_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1363,25,theory(equality)]) ).

cnf(1778,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(a1979)
    | ~ c1_1(a1979)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1365,111,theory(equality)]) ).

cnf(1784,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(a2001)
    | ~ c1_1(a2001)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1365,58,theory(equality)]) ).

cnf(1786,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1365,25,theory(equality)]) ).

cnf(1790,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1973)
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1367,126,theory(equality)]) ).

cnf(1791,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1979)
    | ~ c1_1(a1979)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1367,111,theory(equality)]) ).

cnf(1795,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1996)
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1367,70,theory(equality)]) ).

cnf(1796,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1367,66,theory(equality)]) ).

cnf(1800,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1367,21,theory(equality)]) ).

cnf(1807,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp11
    | ~ c2_1(a1989)
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[89,1369,theory(equality)]) ).

cnf(1808,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp13
    | ~ c2_1(a1991)
    | ~ c1_1(a1991) ),
    inference(spm,[status(thm)],[81,1369,theory(equality)]) ).

cnf(1810,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp20
    | ~ c2_1(a2003)
    | ~ c1_1(a2003) ),
    inference(spm,[status(thm)],[53,1369,theory(equality)]) ).

cnf(1824,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(X1)
    | hskp14
    | hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1365,1369,theory(equality)]) ).

cnf(1841,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[1568,67]) ).

cnf(1842,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(a1971)
    | ~ c2_1(a1971)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1371,131,theory(equality)]) ).

cnf(1845,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(a1991)
    | ~ c2_1(a1991)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1371,83,theory(equality)]) ).

cnf(1870,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp11
    | ~ c1_1(a1989) ),
    inference(csr,[status(thm)],[1807,91]) ).

cnf(1877,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ hskp27
    | ~ c2_1(a1970) ),
    inference(csr,[status(thm)],[1571,27]) ).

cnf(1878,negated_conjecture,
    ( hskp11
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1877,26]) ).

cnf(1882,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(a1987)
    | ~ c0_1(a1987)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1373,94,theory(equality)]) ).

cnf(1883,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(a1990)
    | ~ c0_1(a1990)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1373,87,theory(equality)]) ).

cnf(1884,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(a1996)
    | ~ c0_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1373,70,theory(equality)]) ).

cnf(1887,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(a2049)
    | ~ c0_1(a2049)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1373,30,theory(equality)]) ).

cnf(1894,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(a1979)
    | c2_1(X1)
    | c1_1(a1979)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1287,111,theory(equality)]) ).

cnf(1897,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(a1990)
    | c2_1(X1)
    | c1_1(a1990)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1287,87,theory(equality)]) ).

cnf(1907,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp13
    | ~ c1_1(a1991) ),
    inference(csr,[status(thm)],[1808,82]) ).

cnf(1911,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp20
    | ~ c2_1(a2003) ),
    inference(csr,[status(thm)],[1810,55]) ).

cnf(1912,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp20 ),
    inference(csr,[status(thm)],[1911,54]) ).

cnf(1924,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(a1973)
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1375,126,theory(equality)]) ).

cnf(1925,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(a1979)
    | ~ c1_1(a1979)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1375,111,theory(equality)]) ).

cnf(1930,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(a1998)
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1375,66,theory(equality)]) ).

cnf(1933,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1375,25,theory(equality)]) ).

cnf(1960,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp13
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,1377,theory(equality)]) ).

cnf(1962,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp20
    | ~ c0_1(a2003)
    | ~ c2_1(a2003) ),
    inference(spm,[status(thm)],[53,1377,theory(equality)]) ).

cnf(1963,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp21
    | ~ c0_1(a2009)
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,1377,theory(equality)]) ).

cnf(1967,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | hskp17
    | hskp4
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1407,1377,theory(equality)]) ).

cnf(1978,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(X1)
    | hskp17
    | hskp4
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1373,1377,theory(equality)]) ).

cnf(1997,negated_conjecture,
    ( hskp22
    | hskp1
    | c2_1(a1981)
    | ~ c1_1(a1981)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1379,107,theory(equality)]) ).

cnf(2001,negated_conjecture,
    ( hskp22
    | hskp1
    | c2_1(a2014)
    | ~ c1_1(a2014)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1379,43,theory(equality)]) ).

cnf(2034,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ hskp28
    | ~ c2_1(a1972) ),
    inference(csr,[status(thm)],[1606,22]) ).

cnf(2044,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp13
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,1381,theory(equality)]) ).

cnf(2046,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp20
    | ~ c0_1(a2003)
    | ~ c2_1(a2003) ),
    inference(spm,[status(thm)],[53,1381,theory(equality)]) ).

cnf(2047,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp21
    | ~ c0_1(a2009)
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,1381,theory(equality)]) ).

cnf(2050,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(X1)
    | hskp12
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1403,1381,theory(equality)]) ).

cnf(2071,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a1998)
    | ~ c2_1(X1)
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1293,66,theory(equality)]) ).

cnf(2072,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a2001)
    | ~ c2_1(X1)
    | ~ c1_1(a2001)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1293,58,theory(equality)]) ).

cnf(2081,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp13
    | ~ c0_1(a1991) ),
    inference(csr,[status(thm)],[1960,82]) ).

cnf(2082,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp13 ),
    inference(csr,[status(thm)],[2081,83]) ).

cnf(2086,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp20
    | ~ c0_1(a2003) ),
    inference(csr,[status(thm)],[1962,54]) ).

cnf(2087,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp21
    | ~ c0_1(a2009) ),
    inference(csr,[status(thm)],[1963,51]) ).

cnf(2089,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp7
    | ~ c2_1(a1981) ),
    inference(csr,[status(thm)],[1623,106]) ).

cnf(2090,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp13
    | ~ c1_1(a1991) ),
    inference(csr,[status(thm)],[1624,82]) ).

cnf(2094,negated_conjecture,
    ( hskp16
    | hskp15
    | c2_1(a1969)
    | ~ hskp0
    | ~ c0_1(a1969) ),
    inference(spm,[status(thm)],[133,1383,theory(equality)]) ).

cnf(2103,negated_conjecture,
    ( hskp16
    | hskp15
    | c2_1(a2012)
    | ~ hskp22
    | ~ c0_1(a2012) ),
    inference(spm,[status(thm)],[45,1383,theory(equality)]) ).

cnf(2126,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ c0_1(a1996)
    | ~ c3_1(X1)
    | ~ c1_1(a1996)
    | ~ c1_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1295,70,theory(equality)]) ).

cnf(2130,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ c0_1(a1970)
    | ~ c3_1(X1)
    | ~ c1_1(a1970)
    | ~ c1_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1295,25,theory(equality)]) ).

cnf(2131,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ c0_1(a1972)
    | ~ c3_1(X1)
    | ~ c1_1(a1972)
    | ~ c1_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1295,21,theory(equality)]) ).

cnf(2158,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp29
    | ~ c2_1(a1978) ),
    inference(csr,[status(thm)],[1630,18]) ).

cnf(2159,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2158,17]) ).

cnf(2160,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(a1973)
    | c2_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1385,126,theory(equality)]) ).

cnf(2161,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(a1979)
    | c2_1(a1979)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1385,111,theory(equality)]) ).

cnf(2166,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(a1998)
    | c2_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1385,66,theory(equality)]) ).

cnf(2187,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ c0_1(a1972)
    | ~ c3_1(X1)
    | ~ c1_1(a1972)
    | ~ c1_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1297,21,theory(equality)]) ).

cnf(2200,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp13
    | ~ c0_1(a1991) ),
    inference(csr,[status(thm)],[2044,82]) ).

cnf(2201,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[2200,83]) ).

cnf(2205,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp30
    | ~ c1_1(a2005) ),
    inference(csr,[status(thm)],[1631,14]) ).

cnf(2206,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp10
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2205,1591,theory(equality)]) ).

cnf(2207,negated_conjecture,
    ( hskp10
    | hskp4
    | hskp1
    | hskp27
    | hskp6 ),
    inference(spm,[status(thm)],[2206,10,theory(equality)]) ).

cnf(2215,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1979)
    | ~ hskp6
    | ~ c1_1(a1979) ),
    inference(spm,[status(thm)],[110,1387,theory(equality)]) ).

cnf(2217,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1985)
    | ~ hskp9
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[98,1387,theory(equality)]) ).

cnf(2219,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1992)
    | ~ hskp14
    | ~ c1_1(a1992) ),
    inference(spm,[status(thm)],[78,1387,theory(equality)]) ).

cnf(2221,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1998)
    | ~ hskp17
    | ~ c1_1(a1998) ),
    inference(spm,[status(thm)],[65,1387,theory(equality)]) ).

cnf(2225,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a2041)
    | ~ hskp25
    | ~ c1_1(a2041) ),
    inference(spm,[status(thm)],[35,1387,theory(equality)]) ).

cnf(2230,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp28
    | hskp8
    | c2_1(a1973)
    | ~ hskp2
    | ~ c1_1(a1973) ),
    inference(spm,[status(thm)],[1594,1387,theory(equality)]) ).

cnf(2254,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c0_1(a1972)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1299,21,theory(equality)]) ).

cnf(2255,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ c0_1(a2005)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1299,13,theory(equality)]) ).

cnf(2261,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp20
    | ~ c0_1(a2003) ),
    inference(csr,[status(thm)],[2046,54]) ).

cnf(2263,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp21
    | ~ c0_1(a2009) ),
    inference(csr,[status(thm)],[2047,51]) ).

cnf(2271,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(a1981)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[1669,106]) ).

cnf(2272,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp16
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1512,2271,theory(equality)]) ).

cnf(2273,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp16
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1691,2271,theory(equality)]) ).

cnf(2281,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(a1983)
    | c1_1(a1983)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1389,103,theory(equality)]) ).

cnf(2282,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(a1987)
    | c1_1(a1987)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1389,94,theory(equality)]) ).

cnf(2286,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(a2001)
    | c1_1(a2001)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1389,58,theory(equality)]) ).

cnf(2304,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | c1_1(a2049)
    | ~ c0_1(a2049)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1301,30,theory(equality)]) ).

cnf(2313,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ c0_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2094,134]) ).

cnf(2330,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a1989)
    | ~ hskp11
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[89,1391,theory(equality)]) ).

cnf(2331,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a1991)
    | ~ hskp13
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,1391,theory(equality)]) ).

cnf(2332,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a2000)
    | ~ hskp18
    | ~ c2_1(a2000) ),
    inference(spm,[status(thm)],[61,1391,theory(equality)]) ).

cnf(2334,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a2009)
    | ~ hskp21
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,1391,theory(equality)]) ).

cnf(2338,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | hskp23
    | hskp6
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1407,1391,theory(equality)]) ).

cnf(2360,negated_conjecture,
    ( hskp10
    | c0_1(a1974)
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(a1974)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1303,122,theory(equality)]) ).

cnf(2382,negated_conjecture,
    ( hskp24
    | hskp16
    | ~ hskp22
    | ~ c1_1(a2012) ),
    inference(csr,[status(thm)],[1672,46]) ).

cnf(2383,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(a2014)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1673,42]) ).

cnf(2384,negated_conjecture,
    ( hskp24
    | hskp16
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2383,41]) ).

cnf(2388,negated_conjecture,
    ( hskp24
    | hskp16
    | c2_1(a1972)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1675,22]) ).

cnf(2389,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp16
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1522,2388,theory(equality)]) ).

cnf(2396,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a1975)
    | c1_1(a1975)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1393,119,theory(equality)]) ).

cnf(2399,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a1996)
    | c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1393,71,theory(equality)]) ).

cnf(2400,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a2012)
    | c1_1(a2012)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1393,47,theory(equality)]) ).

cnf(2402,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a2049)
    | c1_1(a2049)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1393,31,theory(equality)]) ).

cnf(2413,negated_conjecture,
    ( hskp3
    | c0_1(a1998)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1998)
    | ~ c1_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1305,66,theory(equality)]) ).

cnf(2444,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a1989)
    | ~ hskp11
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[90,1395,theory(equality)]) ).

cnf(2446,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a1993)
    | ~ hskp15
    | ~ c2_1(a1993) ),
    inference(spm,[status(thm)],[74,1395,theory(equality)]) ).

cnf(2448,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a2000)
    | ~ hskp18
    | ~ c2_1(a2000) ),
    inference(spm,[status(thm)],[63,1395,theory(equality)]) ).

cnf(2449,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a2001)
    | ~ hskp19
    | ~ c2_1(a2001) ),
    inference(spm,[status(thm)],[57,1395,theory(equality)]) ).

cnf(2463,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp27
    | hskp4
    | c1_1(a2009)
    | ~ hskp21
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[1738,1395,theory(equality)]) ).

cnf(2469,negated_conjecture,
    ( hskp17
    | hskp4
    | hskp27
    | c1_1(a2009)
    | ~ hskp21
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[2087,1395,theory(equality)]) ).

cnf(2475,negated_conjecture,
    ( hskp29
    | c0_1(a1973)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1307,126,theory(equality)]) ).

cnf(2476,negated_conjecture,
    ( hskp29
    | c0_1(a1979)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a1979)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1307,111,theory(equality)]) ).

cnf(2481,negated_conjecture,
    ( hskp29
    | c0_1(a1998)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1307,66,theory(equality)]) ).

cnf(2493,negated_conjecture,
    ( hskp16
    | hskp15
    | c2_1(a2012)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2103,47]) ).

cnf(2494,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2493,46]) ).

cnf(2501,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp6
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[2215,109]) ).

cnf(2502,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2501,1440,theory(equality)]) ).

cnf(2503,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2502,1453]) ).

cnf(2521,negated_conjecture,
    ( hskp10
    | hskp4
    | c2_1(a2012)
    | c1_1(a2012)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1397,47,theory(equality)]) ).

cnf(2523,negated_conjecture,
    ( hskp10
    | hskp4
    | c2_1(a2049)
    | c1_1(a2049)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1397,31,theory(equality)]) ).

cnf(2538,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1309,25,theory(equality)]) ).

cnf(2547,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1985)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2217,99]) ).

cnf(2554,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1992)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[2219,79]) ).

cnf(2555,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp14 ),
    inference(csr,[status(thm)],[2554,77]) ).

cnf(2557,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp10
    | ~ c0_1(a1987) ),
    inference(csr,[status(thm)],[1713,93]) ).

cnf(2559,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp27
    | hskp4
    | c1_1(a1987)
    | ~ hskp10
    | ~ c2_1(a1987) ),
    inference(spm,[status(thm)],[2557,1395,theory(equality)]) ).

cnf(2563,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(a1996)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1715,71]) ).

cnf(2564,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp30
    | hskp15
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1664,2563,theory(equality)]) ).

cnf(2570,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a1989)
    | ~ hskp11
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[89,1399,theory(equality)]) ).

cnf(2571,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a1991)
    | ~ hskp13
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,1399,theory(equality)]) ).

cnf(2574,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a2009)
    | ~ hskp21
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,1399,theory(equality)]) ).

cnf(2578,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | hskp17
    | hskp3
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1407,1399,theory(equality)]) ).

cnf(2610,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(a2049)
    | ~ c0_1(a2049)
    | ~ c2_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1311,30,theory(equality)]) ).

cnf(2624,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1998)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2221,67]) ).

cnf(2639,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(a2049)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1718,31]) ).

cnf(2640,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2639,29]) ).

cnf(2643,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp25
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2640,2564,theory(equality)]) ).

cnf(2645,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1979)
    | c1_1(a1979)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1401,111,theory(equality)]) ).

cnf(2646,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1983)
    | c1_1(a1983)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1401,103,theory(equality)]) ).

cnf(2648,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1990)
    | c1_1(a1990)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1401,87,theory(equality)]) ).

cnf(2649,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1996)
    | c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1401,70,theory(equality)]) ).

cnf(2669,negated_conjecture,
    ( hskp13
    | c0_1(a1998)
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1313,66,theory(equality)]) ).

cnf(2688,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp25
    | ~ c1_1(a2041) ),
    inference(csr,[status(thm)],[2225,34]) ).

cnf(2703,negated_conjecture,
    ( hskp10
    | c0_1(a1979)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1317,111,theory(equality)]) ).

cnf(2727,negated_conjecture,
    ( hskp12
    | c0_1(a1998)
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(a1998)
    | ~ c1_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1315,66,theory(equality)]) ).

cnf(2775,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[1757,65]) ).

cnf(2776,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp28
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2775,2624,theory(equality)]) ).

cnf(2779,negated_conjecture,
    ( c0_1(a1983)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a1983)
    | ~ c1_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1345,103,theory(equality)]) ).

cnf(2783,negated_conjecture,
    ( c0_1(a1998)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a1998)
    | ~ c1_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1345,66,theory(equality)]) ).

cnf(2784,negated_conjecture,
    ( c0_1(a2001)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a2001)
    | ~ c1_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1345,58,theory(equality)]) ).

cnf(2798,negated_conjecture,
    ( hskp9
    | c0_1(a1983)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a1983)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1319,103,theory(equality)]) ).

cnf(2802,negated_conjecture,
    ( hskp9
    | c0_1(a1998)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1319,66,theory(equality)]) ).

cnf(2803,negated_conjecture,
    ( hskp9
    | c0_1(a2001)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a2001)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1319,58,theory(equality)]) ).

cnf(2815,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp28
    | hskp13
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1912,2776,theory(equality)]) ).

cnf(2816,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a1989)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2330,91]) ).

cnf(2817,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp23
    | hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1870,2816,theory(equality)]) ).

cnf(2818,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp23
    | hskp10
    | hskp6
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2555,2817,theory(equality)]) ).

cnf(2819,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a1991)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[2331,82]) ).

cnf(2820,negated_conjecture,
    ( hskp17
    | hskp23
    | hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1513,2819,theory(equality)]) ).

cnf(2823,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp23
    | hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2090,2819,theory(equality)]) ).

cnf(2825,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10
    | hskp8
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2815,2555]) ).

cnf(2833,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1347,66,theory(equality)]) ).

cnf(2836,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c2_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1347,25,theory(equality)]) ).

cnf(2837,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1347,21,theory(equality)]) ).

cnf(2847,negated_conjecture,
    ( hskp8
    | c0_1(a1979)
    | c2_1(a1979)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1321,111,theory(equality)]) ).

cnf(2865,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp18
    | ~ c2_1(a2000) ),
    inference(csr,[status(thm)],[2332,62]) ).

cnf(2869,negated_conjecture,
    ( hskp23
    | hskp6
    | c1_1(a2009)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2334,51]) ).

cnf(2870,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2869,50]) ).

cnf(2874,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(a2001)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1758,59]) ).

cnf(2875,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2874,57]) ).

cnf(2876,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp13
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1912,2875,theory(equality)]) ).

cnf(2877,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp13
    | hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2555,2876,theory(equality)]) ).

cnf(2878,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10
    | hskp8
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[2877,9,theory(equality)]) ).

cnf(2880,negated_conjecture,
    ( hskp7
    | c0_1(a1974)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c2_1(a1974)
    | ~ c1_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1323,123,theory(equality)]) ).

cnf(2885,negated_conjecture,
    ( hskp7
    | c0_1(a1998)
    | c0_1(X1)
    | c2_1(X1)
    | ~ c2_1(a1998)
    | ~ c1_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1323,67,theory(equality)]) ).

cnf(2900,negated_conjecture,
    ( hskp5
    | c0_1(a1983)
    | c3_1(X1)
    | c1_1(a1983)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1325,103,theory(equality)]) ).

cnf(2931,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(a1970)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1760,26]) ).

cnf(2968,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(a1990)
    | c1_1(a1990)
    | ~ c1_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1329,87,theory(equality)]) ).

cnf(2986,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a1989)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2444,91]) ).

cnf(3001,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | c3_1(a1977)
    | c3_1(X1)
    | c2_1(a1977)
    | ~ c2_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1331,115,theory(equality)]) ).

cnf(3025,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(a2014)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c1_1(a2014)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1333,43,theory(equality)]) ).

cnf(3034,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a1993)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2446,75]) ).

cnf(3035,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp15 ),
    inference(csr,[status(thm)],[3034,73]) ).

cnf(3039,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp18
    | ~ c2_1(a2000) ),
    inference(csr,[status(thm)],[2448,62]) ).

cnf(3040,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a2001)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2449,59]) ).

cnf(3071,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(a1996)
    | c2_1(X1)
    | ~ c0_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1335,70,theory(equality)]) ).

cnf(3076,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(a1972)
    | c2_1(X1)
    | ~ c0_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1335,21,theory(equality)]) ).

cnf(3089,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(a1996)
    | c1_1(X1)
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1337,71,theory(equality)]) ).

cnf(3113,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ hskp6
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[1778,110]) ).

cnf(3114,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[3113,1440,theory(equality)]) ).

cnf(3124,negated_conjecture,
    ( hskp2
    | c0_1(a1993)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(a1993)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1339,75,theory(equality)]) ).

cnf(3137,negated_conjecture,
    ( c0_1(X1)
    | c2_1(a1975)
    | c2_1(X1)
    | c1_1(a1975)
    | c1_1(X1)
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1341,119,theory(equality)]) ).

cnf(3158,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a1989)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2570,91]) ).

cnf(3172,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ hskp19
    | ~ c1_1(a2001) ),
    inference(csr,[status(thm)],[1784,57]) ).

cnf(3173,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[3172,1585,theory(equality)]) ).

cnf(3174,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp27
    | hskp4
    | ~ hskp19 ),
    inference(spm,[status(thm)],[3172,3040,theory(equality)]) ).

cnf(3175,negated_conjecture,
    ( hskp27
    | c0_1(X3)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3) ),
    inference(ef,[status(thm)],[1343,theory(equality)]) ).

cnf(3177,negated_conjecture,
    ( hskp27
    | c0_1(a1969)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a1969)
    | c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[133,1343,theory(equality)]) ).

cnf(3190,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c0_1(a2000)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(a2000)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[61,1343,theory(equality)]) ).

cnf(3197,negated_conjecture,
    ( hskp27
    | c0_1(a2041)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a2041)
    | c1_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[33,1343,theory(equality)]) ).

cnf(3280,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp10
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[3173,9,theory(equality)]) ).

cnf(3281,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | ~ hskp19 ),
    inference(csr,[status(thm)],[3174,2082]) ).

cnf(3282,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[3281,9,theory(equality)]) ).

cnf(3284,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp16
    | hskp4 ),
    inference(csr,[status(thm)],[3282,3035]) ).

cnf(3288,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(a1970)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1786,27]) ).

cnf(3289,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ c2_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1405,3288,theory(equality)]) ).

cnf(3317,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a1991)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[2571,82]) ).

cnf(3318,negated_conjecture,
    ( hskp17
    | hskp3
    | ~ hskp13 ),
    inference(csr,[status(thm)],[3317,1513]) ).

cnf(3332,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1973)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[1790,127]) ).

cnf(3333,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[3332,125]) ).

cnf(3334,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp6
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[1791,109]) ).

cnf(3335,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[3334,1440,theory(equality)]) ).

cnf(3336,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3335,1476]) ).

cnf(3358,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a2009)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2574,51]) ).

cnf(3359,negated_conjecture,
    ( hskp17
    | hskp3
    | ~ hskp21 ),
    inference(csr,[status(thm)],[3358,50]) ).

cnf(3372,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[1795,69]) ).

cnf(3373,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp1
    | ~ hskp16 ),
    inference(spm,[status(thm)],[3372,1444,theory(equality)]) ).

cnf(3374,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp30
    | hskp15
    | ~ hskp16 ),
    inference(spm,[status(thm)],[3372,2563,theory(equality)]) ).

cnf(3375,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp1
    | ~ hskp16 ),
    inference(csr,[status(thm)],[3373,1476]) ).

cnf(3376,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp15
    | hskp12
    | hskp11
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1592,3374,theory(equality)]) ).

cnf(3404,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | c1_1(a2009)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2469,51]) ).

cnf(3405,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[3404,50]) ).

cnf(3412,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1998)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[1796,67]) ).

cnf(3413,negated_conjecture,
    ( hskp11
    | hskp4
    | hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1841,3412,theory(equality)]) ).

cnf(3416,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp12
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2775,3412,theory(equality)]) ).

cnf(3483,negated_conjecture,
    ( hskp12
    | hskp11
    | c2_1(a1972)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1800,22]) ).

cnf(3484,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1522,3483,theory(equality)]) ).

cnf(3487,negated_conjecture,
    ( hskp8
    | hskp3
    | hskp12
    | hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2034,3483,theory(equality)]) ).

cnf(3491,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp11
    | hskp21
    | hskp1 ),
    inference(spm,[status(thm)],[3484,12,theory(equality)]) ).

cnf(3520,negated_conjecture,
    ( hskp17
    | hskp3
    | hskp12
    | hskp11
    | hskp1 ),
    inference(spm,[status(thm)],[3359,3491,theory(equality)]) ).

cnf(3521,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | hskp12
    | hskp11
    | hskp1 ),
    inference(spm,[status(thm)],[3405,3491,theory(equality)]) ).

cnf(3535,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp11
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[3521,3413]) ).

cnf(3536,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[3535,1878]) ).

cnf(3556,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(a1971)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1842,130]) ).

cnf(3557,negated_conjecture,
    ( hskp11
    | hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[3556,129]) ).

cnf(3599,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(a1991)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[1845,82]) ).

cnf(3600,negated_conjecture,
    ( hskp17
    | hskp11
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1513,3599,theory(equality)]) ).

cnf(3601,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp11
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1907,3599,theory(equality)]) ).

cnf(3609,negated_conjecture,
    ( hskp17
    | hskp11
    | hskp10
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[3600,3280,theory(equality)]) ).

cnf(3610,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp11
    | hskp10
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2555,3601,theory(equality)]) ).

cnf(3616,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ hskp29
    | ~ c0_1(X2)
    | ~ c2_1(a1978)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1474,18]) ).

cnf(3617,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ hskp29
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3616,17]) ).

cnf(3624,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a2014)
    | ~ hskp29
    | ~ c1_1(a2014)
    | ~ c1_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[3617,43,theory(equality)]) ).

cnf(3637,negated_conjecture,
    ( hskp28
    | hskp11
    | hskp10
    | hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3610,2825,theory(equality)]) ).

cnf(3638,negated_conjecture,
    ( hskp28
    | hskp11
    | hskp10
    | hskp8
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[3610,2878,theory(equality)]) ).

cnf(3648,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp8
    | hskp3
    | hskp10
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3487,3637,theory(equality)]) ).

cnf(3651,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp11
    | hskp16
    | hskp15
    | hskp10
    | hskp8 ),
    inference(spm,[status(thm)],[3484,3638,theory(equality)]) ).

cnf(3683,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp8
    | hskp3
    | hskp1 ),
    inference(spm,[status(thm)],[3648,3520,theory(equality)]) ).

cnf(3686,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[3683,3557]) ).

cnf(3687,negated_conjecture,
    ( hskp10
    | hskp1
    | hskp11
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[1476,3686,theory(equality)]) ).

cnf(3688,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp3
    | hskp1 ),
    inference(csr,[status(thm)],[3687,1453]) ).

cnf(3689,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[3688,3557]) ).

cnf(3693,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp15
    | hskp12
    | hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[3651,3609]) ).

cnf(3694,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp12
    | hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[3693,3376]) ).

cnf(3746,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp24
    | hskp4
    | c1_1(a2009)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2463,51]) ).

cnf(3747,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp24
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[3746,50]) ).

cnf(3761,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp10
    | ~ c0_1(a1987) ),
    inference(csr,[status(thm)],[1882,93]) ).

cnf(3766,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp12
    | ~ c0_1(a1990) ),
    inference(csr,[status(thm)],[1883,86]) ).

cnf(3769,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(a1996)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1884,71]) ).

cnf(3770,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp18
    | hskp6
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1664,3769,theory(equality)]) ).

cnf(3808,negated_conjecture,
    ( hskp18
    | hskp6
    | c1_1(a2049)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1887,31]) ).

cnf(3809,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[3808,29]) ).

cnf(3810,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp25
    | ~ hskp28 ),
    inference(spm,[status(thm)],[3809,1708,theory(equality)]) ).

cnf(3815,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp25
    | ~ hskp16 ),
    inference(spm,[status(thm)],[3809,3770,theory(equality)]) ).

cnf(3844,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp15
    | hskp4
    | c1_1(a1987)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2559,95]) ).

cnf(3845,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp15
    | hskp4
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3844,93]) ).

cnf(3846,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp4
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3845,3035]) ).

cnf(3866,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(a1973)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[1924,127]) ).

cnf(3871,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp18
    | hskp4
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1594,3866,theory(equality)]) ).

cnf(3893,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp25
    | hskp4
    | ~ hskp2 ),
    inference(spm,[status(thm)],[3809,3871,theory(equality)]) ).

cnf(3900,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ hskp6
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[1925,110]) ).

cnf(3935,negated_conjecture,
    ( hskp27
    | c0_1(a1969)
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3177,134]) ).

cnf(3936,negated_conjecture,
    ( hskp27
    | c0_1(a1969)
    | c1_1(a1969)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[133,3935,theory(equality)]) ).

cnf(3984,negated_conjecture,
    ( hskp27
    | c0_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3936,135]) ).

cnf(3997,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp27
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2313,3984,theory(equality)]) ).

cnf(3999,negated_conjecture,
    ( hskp10
    | hskp4
    | c2_1(a1969)
    | c1_1(a1969)
    | hskp27
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1397,3984,theory(equality)]) ).

cnf(4009,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp15
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3997,2201,theory(equality)]) ).

cnf(4023,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(a1998)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[1930,67]) ).

cnf(4024,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ hskp17 ),
    inference(csr,[status(thm)],[4023,65]) ).

cnf(4088,negated_conjecture,
    ( hskp18
    | hskp4
    | c0_1(a1970)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1933,27]) ).

cnf(4096,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp18
    | hskp4
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1706,4088,theory(equality)]) ).

cnf(4136,negated_conjecture,
    ( hskp22
    | hskp1
    | c2_1(a1981)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[1997,106]) ).

cnf(4142,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2089,4136,theory(equality)]) ).

cnf(4188,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp4
    | c2_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3999,135]) ).

cnf(4189,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[4188,134]) ).

cnf(4190,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp4
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[4189,2201,theory(equality)]) ).

cnf(4194,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp10
    | hskp4
    | hskp17
    | hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[4190,3114,theory(equality)]) ).

cnf(4208,negated_conjecture,
    ( hskp22
    | hskp1
    | c2_1(a2014)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2001,42]) ).

cnf(4209,negated_conjecture,
    ( hskp22
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[4208,41]) ).

cnf(4210,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[2494,4209,theory(equality)]) ).

cnf(4249,negated_conjecture,
    ( c2_1(a1975)
    | c2_1(X1)
    | c1_1(X2)
    | ~ hskp4
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1538,118]) ).

cnf(4250,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | ~ hskp4
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4249,117]) ).

cnf(4251,negated_conjecture,
    ( c2_1(a1973)
    | c1_1(X1)
    | ~ hskp4
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[4250,126,theory(equality)]) ).

cnf(4280,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp12
    | hskp10
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[4194,1593]) ).

cnf(4281,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp10
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[4280,1476]) ).

cnf(4420,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2012)
    | c1_1(X2)
    | ~ hskp22
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1542,46]) ).

cnf(4426,negated_conjecture,
    ( c2_1(a1996)
    | c1_1(a2012)
    | c1_1(X1)
    | ~ hskp22
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[4420,70,theory(equality)]) ).

cnf(4511,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(a1973)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[2160,125]) ).

cnf(4516,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp11
    | hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1594,4511,theory(equality)]) ).

cnf(4560,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp25
    | hskp11
    | hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[3809,4516,theory(equality)]) ).

cnf(4579,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(a1979)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2161,109]) ).

cnf(4580,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[4579,110]) ).

cnf(4697,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a1971)
    | c1_1(X2)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp1
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1574,130]) ).

cnf(4698,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp1
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[4697,129]) ).

cnf(4700,negated_conjecture,
    ( c2_1(a1975)
    | c1_1(a1975)
    | c1_1(X1)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[4698,119,theory(equality)]) ).

cnf(4703,negated_conjecture,
    ( c2_1(a1996)
    | c1_1(a1996)
    | c1_1(X1)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[4698,71,theory(equality)]) ).

cnf(4838,negated_conjecture,
    ( hskp11
    | hskp9
    | c2_1(a1998)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2166,65]) ).

cnf(4842,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp11
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2775,4838,theory(equality)]) ).

cnf(4925,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(a1983)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2281,101]) ).

cnf(4926,negated_conjecture,
    ( hskp29
    | hskp6
    | ~ hskp8 ),
    inference(csr,[status(thm)],[4925,102]) ).

cnf(4927,negated_conjecture,
    ( hskp17
    | hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1524,4926,theory(equality)]) ).

cnf(4936,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(a1987)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2282,93]) ).

cnf(4961,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp29
    | ~ hskp10 ),
    inference(spm,[status(thm)],[3761,4936,theory(equality)]) ).

cnf(4971,negated_conjecture,
    ( hskp17
    | hskp18
    | hskp6
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1524,4961,theory(equality)]) ).

cnf(5131,negated_conjecture,
    ( hskp29
    | hskp6
    | c1_1(a2001)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2286,57]) ).

cnf(5134,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp29
    | hskp6
    | ~ hskp19 ),
    inference(spm,[status(thm)],[3172,5131,theory(equality)]) ).

cnf(5136,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp6
    | ~ hskp19 ),
    inference(csr,[status(thm)],[5134,1524]) ).

cnf(5137,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp6
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[5136,9,theory(equality)]) ).

cnf(5172,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a2005)
    | c1_1(X2)
    | c1_1(X1)
    | ~ hskp30
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1584,14]) ).

cnf(5174,negated_conjecture,
    ( c2_1(a1975)
    | c1_1(a2005)
    | c1_1(a1975)
    | c1_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[5172,119,theory(equality)]) ).

cnf(5177,negated_conjecture,
    ( c2_1(a1996)
    | c1_1(a2005)
    | c1_1(a1996)
    | c1_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[5172,71,theory(equality)]) ).

cnf(5235,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(a1973)
    | c2_1(X2)
    | ~ hskp2
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1609,127]) ).

cnf(5236,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | ~ hskp2
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[5235,125]) ).

cnf(5237,negated_conjecture,
    ( c0_1(a1973)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a1973)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[5236,126,theory(equality)]) ).

cnf(5258,negated_conjecture,
    ( c0_1(a1973)
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[5237,125]) ).

cnf(5262,negated_conjecture,
    ( c0_1(a1973)
    | c0_1(a1985)
    | ~ hskp9
    | ~ hskp2
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[97,5258,theory(equality)]) ).

cnf(5263,negated_conjecture,
    ( c0_1(a1973)
    | c0_1(a1989)
    | ~ hskp11
    | ~ hskp2
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[89,5258,theory(equality)]) ).

cnf(5382,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp6
    | ~ hskp1
    | ~ c2_1(a1971) ),
    inference(spm,[status(thm)],[129,2338,theory(equality)]) ).

cnf(5387,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp6
    | ~ hskp15
    | ~ c2_1(a1993) ),
    inference(spm,[status(thm)],[73,2338,theory(equality)]) ).

cnf(5418,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | ~ hskp6
    | ~ c3_1(X2)
    | ~ c1_1(a1979)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1610,109]) ).

cnf(5444,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[5382,130]) ).

cnf(5454,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp6
    | ~ hskp15 ),
    inference(csr,[status(thm)],[5387,75]) ).

cnf(5474,negated_conjecture,
    ( c0_1(a1973)
    | c0_1(a1985)
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[5262,99]) ).

cnf(5475,negated_conjecture,
    ( c0_1(a1973)
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[5474,98]) ).

cnf(5480,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp2
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1594,5475,theory(equality)]) ).

cnf(5513,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a1975)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2396,118]) ).

cnf(5514,negated_conjecture,
    ( hskp30
    | hskp5
    | ~ hskp4 ),
    inference(csr,[status(thm)],[5513,117]) ).

cnf(5530,negated_conjecture,
    ( c0_1(a1973)
    | ~ hskp11
    | ~ hskp2
    | ~ c1_1(a1989) ),
    inference(csr,[status(thm)],[5263,90]) ).

cnf(5535,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp2
    | ~ hskp11
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[1594,5530,theory(equality)]) ).

cnf(5605,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | ~ hskp16
    | ~ c3_1(X2)
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1614,69]) ).

cnf(5608,negated_conjecture,
    ( c0_1(a1983)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a1983)
    | ~ hskp16
    | ~ c1_1(a1996)
    | ~ c1_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[5605,103,theory(equality)]) ).

cnf(5842,negated_conjecture,
    ( hskp30
    | hskp5
    | c1_1(a1996)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2399,69]) ).

cnf(5843,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp30
    | hskp5
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1664,5842,theory(equality)]) ).

cnf(5877,negated_conjecture,
    ( hskp30
    | hskp5
    | c1_1(a2012)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2400,46]) ).

cnf(5878,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp30
    | hskp5
    | ~ hskp22 ),
    inference(spm,[status(thm)],[2382,5877,theory(equality)]) ).

cnf(5969,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a2049)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2402,29]) ).

cnf(6326,negated_conjecture,
    ( hskp10
    | hskp4
    | c1_1(a2012)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2521,46]) ).

cnf(6387,negated_conjecture,
    ( hskp10
    | hskp4
    | c2_1(a2049)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2523,29]) ).

cnf(6388,negated_conjecture,
    ( hskp10
    | hskp4
    | ~ hskp26 ),
    inference(csr,[status(thm)],[6387,1586]) ).

cnf(6390,negated_conjecture,
    ( hskp10
    | hskp4
    | hskp25
    | ~ hskp30 ),
    inference(spm,[status(thm)],[6388,1743,theory(equality)]) ).

cnf(6470,negated_conjecture,
    ( hskp22
    | hskp2
    | c1_1(a1979)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2645,109]) ).

cnf(6474,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp22
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[3113,6470,theory(equality)]) ).

cnf(6475,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp22
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[3334,6470,theory(equality)]) ).

cnf(6479,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp17
    | hskp13
    | hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2494,6474,theory(equality)]) ).

cnf(6480,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[6475,3333]) ).

cnf(6481,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp12
    | hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2494,6480,theory(equality)]) ).

cnf(6517,negated_conjecture,
    ( hskp10
    | hskp1
    | hskp16
    | hskp15
    | hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1476,6481,theory(equality)]) ).

cnf(6522,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp15
    | hskp13
    | hskp2 ),
    inference(csr,[status(thm)],[6479,5137]) ).

cnf(6523,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp17
    | hskp16
    | hskp15
    | hskp13 ),
    inference(spm,[status(thm)],[3333,6522,theory(equality)]) ).

cnf(6556,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[6517,3336]) ).

cnf(6557,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[6556,3375]) ).

cnf(6558,negated_conjecture,
    ( hskp11
    | hskp10
    | ~ hskp6 ),
    inference(csr,[status(thm)],[6557,3557]) ).

cnf(6574,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp3
    | ~ hskp1
    | ~ c2_1(a1971) ),
    inference(spm,[status(thm)],[129,2578,theory(equality)]) ).

cnf(6588,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp17
    | hskp3
    | ~ hskp11
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[1870,2578,theory(equality)]) ).

cnf(6610,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp17
    | hskp10
    | hskp3
    | ~ hskp11
    | ~ hskp2
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[5535,2578,theory(equality)]) ).

cnf(6648,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp3
    | ~ hskp1 ),
    inference(csr,[status(thm)],[6574,130]) ).

cnf(6711,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp10
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[6588,91]) ).

cnf(6712,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[6711,3689]) ).

cnf(6781,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1983)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2646,101]) ).

cnf(6782,negated_conjecture,
    ( hskp10
    | hskp22
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1555,6781,theory(equality)]) ).

cnf(6849,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1990)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2648,86]) ).

cnf(6850,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp12 ),
    inference(csr,[status(thm)],[6849,85]) ).

cnf(6851,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2494,6850,theory(equality)]) ).

cnf(6908,negated_conjecture,
    ( hskp22
    | hskp2
    | c1_1(a1996)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2649,69]) ).

cnf(6909,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp22
    | hskp2
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1664,6908,theory(equality)]) ).

cnf(6974,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp17
    | hskp10
    | hskp3
    | ~ hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[6610,91]) ).

cnf(6975,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp17
    | hskp10
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[6974,3689]) ).

cnf(6976,negated_conjecture,
    ( hskp10
    | hskp1
    | hskp25
    | hskp17
    | hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1479,6975,theory(equality)]) ).

cnf(6981,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp10
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[6976,6648]) ).

cnf(7083,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[1727,69]) ).

cnf(7090,negated_conjecture,
    ( c0_1(a1998)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c2_1(X1)
    | ~ c1_1(a1996)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[7083,66,theory(equality)]) ).

cnf(7129,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ hskp27
    | ~ c2_1(a1970) ),
    inference(csr,[status(thm)],[3289,27]) ).

cnf(7130,negated_conjecture,
    ( hskp17
    | hskp13
    | ~ hskp27 ),
    inference(csr,[status(thm)],[7129,26]) ).

cnf(7131,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2082,7130,theory(equality)]) ).

cnf(7132,negated_conjecture,
    ( hskp17
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[3318,7130,theory(equality)]) ).

cnf(7133,negated_conjecture,
    ( hskp17
    | hskp11
    | hskp10
    | ~ hskp27 ),
    inference(spm,[status(thm)],[3600,7130,theory(equality)]) ).

cnf(7187,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(a2014)
    | c1_1(X2)
    | ~ hskp23
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1729,42]) ).

cnf(7188,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ hskp23
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[7187,41]) ).

cnf(7190,negated_conjecture,
    ( c0_1(a1979)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[7188,111,theory(equality)]) ).

cnf(7191,negated_conjecture,
    ( c0_1(a1983)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[7188,103,theory(equality)]) ).

cnf(7192,negated_conjecture,
    ( c0_1(a1987)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[7188,94,theory(equality)]) ).

cnf(7193,negated_conjecture,
    ( c0_1(a1990)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[7188,87,theory(equality)]) ).

cnf(7195,negated_conjecture,
    ( c0_1(a1998)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[7188,66,theory(equality)]) ).

cnf(7196,negated_conjecture,
    ( c0_1(a2001)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[7188,58,theory(equality)]) ).

cnf(7198,negated_conjecture,
    ( c0_1(a1970)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[7188,25,theory(equality)]) ).

cnf(7281,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ hskp6
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[7190,110]) ).

cnf(7290,negated_conjecture,
    ( c1_1(a2009)
    | ~ hskp21
    | ~ hskp23
    | ~ hskp6
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,7281,theory(equality)]) ).

cnf(7659,negated_conjecture,
    ( c1_1(a2009)
    | ~ hskp23
    | ~ hskp21
    | ~ hskp6 ),
    inference(csr,[status(thm)],[7290,51]) ).

cnf(7660,negated_conjecture,
    ( ~ hskp23
    | ~ hskp21
    | ~ hskp6 ),
    inference(csr,[status(thm)],[7659,50]) ).

cnf(7661,negated_conjecture,
    ( hskp8
    | hskp5
    | ~ hskp21
    | ~ hskp6 ),
    inference(spm,[status(thm)],[7660,11,theory(equality)]) ).

cnf(7836,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ hskp8
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[7191,102]) ).

cnf(7845,negated_conjecture,
    ( c1_1(a2009)
    | ~ hskp21
    | ~ hskp23
    | ~ hskp8
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,7836,theory(equality)]) ).

cnf(7849,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp23
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1407,7836,theory(equality)]) ).

cnf(7900,negated_conjecture,
    ( hskp10
    | ~ hskp1
    | ~ hskp23
    | ~ hskp8
    | ~ c2_1(a1971) ),
    inference(spm,[status(thm)],[129,7849,theory(equality)]) ).

cnf(7955,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp8
    | ~ hskp1 ),
    inference(csr,[status(thm)],[7900,130]) ).

cnf(7956,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp8 ),
    inference(csr,[status(thm)],[7955,1453]) ).

cnf(7964,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp8
    | ~ hskp1 ),
    inference(spm,[status(thm)],[7956,5444,theory(equality)]) ).

cnf(8002,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp8 ),
    inference(csr,[status(thm)],[7964,1453]) ).

cnf(8169,negated_conjecture,
    ( c1_1(a2009)
    | ~ hskp23
    | ~ hskp21
    | ~ hskp8 ),
    inference(csr,[status(thm)],[7845,51]) ).

cnf(8170,negated_conjecture,
    ( ~ hskp23
    | ~ hskp21
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8169,50]) ).

cnf(8175,negated_conjecture,
    ( hskp6
    | ~ hskp21
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8170,2870,theory(equality)]) ).

cnf(8307,negated_conjecture,
    ( c0_1(a1987)
    | c1_1(a1991)
    | ~ hskp13
    | ~ hskp23
    | ~ hskp10
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,7192,theory(equality)]) ).

cnf(8372,negated_conjecture,
    ( c0_1(a1990)
    | c1_1(a2009)
    | ~ hskp21
    | ~ hskp23
    | ~ hskp12
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,7193,theory(equality)]) ).

cnf(8466,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[7195,65]) ).

cnf(8471,negated_conjecture,
    ( c1_1(a1989)
    | ~ hskp11
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[89,8466,theory(equality)]) ).

cnf(8472,negated_conjecture,
    ( c1_1(a1991)
    | ~ hskp13
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,8466,theory(equality)]) ).

cnf(8473,negated_conjecture,
    ( c1_1(a2000)
    | ~ hskp18
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(a2000) ),
    inference(spm,[status(thm)],[61,8466,theory(equality)]) ).

cnf(8475,negated_conjecture,
    ( c1_1(a2009)
    | ~ hskp21
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,8466,theory(equality)]) ).

cnf(8479,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp23
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1407,8466,theory(equality)]) ).

cnf(8530,negated_conjecture,
    ( hskp10
    | ~ hskp1
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(a1971) ),
    inference(spm,[status(thm)],[129,8479,theory(equality)]) ).

cnf(8535,negated_conjecture,
    ( hskp10
    | ~ hskp15
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(a1993) ),
    inference(spm,[status(thm)],[73,8479,theory(equality)]) ).

cnf(8588,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[8530,130]) ).

cnf(8596,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp17
    | ~ hskp1 ),
    inference(spm,[status(thm)],[8588,5444,theory(equality)]) ).

cnf(8598,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp27
    | ~ hskp1 ),
    inference(spm,[status(thm)],[8596,1593,theory(equality)]) ).

cnf(8695,negated_conjecture,
    ( hskp10
    | ~ hskp23
    | ~ hskp17
    | ~ hskp15 ),
    inference(csr,[status(thm)],[8535,75]) ).

cnf(8704,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp17
    | ~ hskp15 ),
    inference(spm,[status(thm)],[8695,5454,theory(equality)]) ).

cnf(8777,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp27
    | ~ hskp15 ),
    inference(spm,[status(thm)],[8704,1593,theory(equality)]) ).

cnf(8787,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp27
    | hskp4
    | hskp1
    | ~ hskp15 ),
    inference(spm,[status(thm)],[8704,4281,theory(equality)]) ).

cnf(8802,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp11
    | ~ hskp15
    | ~ hskp27 ),
    inference(spm,[status(thm)],[8704,7133,theory(equality)]) ).

cnf(8851,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp6
    | ~ hskp15 ),
    inference(csr,[status(thm)],[8802,8777]) ).

cnf(8852,negated_conjecture,
    ( hskp11
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[8851,6558]) ).

cnf(8863,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp13
    | hskp10
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1824,1405]) ).

cnf(8865,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp13
    | hskp10
    | ~ c2_1(a1974)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[8863,123,theory(equality)]) ).

cnf(8957,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp6
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[8787,2207]) ).

cnf(8958,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[8957,8598]) ).

cnf(8977,negated_conjecture,
    ( c1_1(a1989)
    | ~ hskp23
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[8471,91]) ).

cnf(8978,negated_conjecture,
    ( hskp14
    | hskp10
    | ~ hskp11
    | ~ hskp23
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1870,8977,theory(equality)]) ).

cnf(8984,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10
    | ~ hskp23
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2555,8978,theory(equality)]) ).

cnf(8985,negated_conjecture,
    ( c1_1(a1991)
    | ~ hskp23
    | ~ hskp17
    | ~ hskp13 ),
    inference(csr,[status(thm)],[8472,82]) ).

cnf(8989,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp13
    | ~ hskp23
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2090,8985,theory(equality)]) ).

cnf(9021,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp23
    | ~ hskp13 ),
    inference(csr,[status(thm)],[8989,2082]) ).

cnf(9024,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[9021,2823,theory(equality)]) ).

cnf(9083,negated_conjecture,
    ( ~ hskp23
    | ~ hskp18
    | ~ hskp17
    | ~ c2_1(a2000) ),
    inference(csr,[status(thm)],[8473,62]) ).

cnf(9087,negated_conjecture,
    ( c1_1(a2009)
    | ~ hskp23
    | ~ hskp21
    | ~ hskp17 ),
    inference(csr,[status(thm)],[8475,51]) ).

cnf(9088,negated_conjecture,
    ( ~ hskp23
    | ~ hskp21
    | ~ hskp17 ),
    inference(csr,[status(thm)],[9087,50]) ).

cnf(9089,negated_conjecture,
    ( hskp8
    | hskp5
    | ~ hskp21
    | ~ hskp17 ),
    inference(spm,[status(thm)],[9088,11,theory(equality)]) ).

cnf(9091,negated_conjecture,
    ( hskp6
    | ~ hskp21
    | ~ hskp17 ),
    inference(spm,[status(thm)],[9088,2870,theory(equality)]) ).

cnf(9106,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp8
    | ~ hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[8984,3637]) ).

cnf(9107,negated_conjecture,
    ( hskp28
    | hskp10
    | ~ hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[9106,7956]) ).

cnf(9111,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp8
    | hskp6
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[9107,2818,theory(equality)]) ).

cnf(9188,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp8
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[9111,3637]) ).

cnf(9189,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[9188,8002]) ).

cnf(9513,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(a1979)
    | ~ hskp6
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1894,109]) ).

cnf(9666,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(a1990)
    | c2_1(X2)
    | c2_1(X1)
    | ~ hskp12
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1897,86]) ).

cnf(9667,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | ~ hskp12
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[9666,85]) ).

cnf(9696,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ hskp19
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[7196,57]) ).

cnf(9702,negated_conjecture,
    ( c1_1(a1991)
    | ~ hskp13
    | ~ hskp23
    | ~ hskp19
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,9696,theory(equality)]) ).

cnf(9986,negated_conjecture,
    ( c1_1(a1991)
    | ~ hskp23
    | ~ hskp19
    | ~ hskp13 ),
    inference(csr,[status(thm)],[9702,82]) ).

cnf(9987,negated_conjecture,
    ( hskp17
    | ~ hskp13
    | ~ hskp23
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1513,9986,theory(equality)]) ).

cnf(10232,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp13
    | hskp10
    | ~ c2_1(a1974) ),
    inference(csr,[status(thm)],[8865,6712]) ).

cnf(10233,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp13
    | hskp10
    | ~ hskp3 ),
    inference(spm,[status(thm)],[10232,122,theory(equality)]) ).

cnf(10241,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp13
    | hskp10 ),
    inference(csr,[status(thm)],[10233,6712]) ).

cnf(10242,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp17
    | hskp13
    | hskp10 ),
    inference(spm,[status(thm)],[2555,10241,theory(equality)]) ).

cnf(10243,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10
    | hskp8 ),
    inference(csr,[status(thm)],[10242,2825]) ).

cnf(10308,negated_conjecture,
    ( c0_1(a1970)
    | c1_1(a1991)
    | ~ hskp13
    | ~ hskp27
    | ~ hskp23
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,7198,theory(equality)]) ).

cnf(10311,negated_conjecture,
    ( c0_1(a1970)
    | c1_1(a2009)
    | ~ hskp21
    | ~ hskp27
    | ~ hskp23
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,7198,theory(equality)]) ).

cnf(10948,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp4
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1967,1397]) ).

cnf(10949,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp4
    | c1_1(a1971)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[10948,131,theory(equality)]) ).

cnf(11009,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[10949,129]) ).

cnf(11153,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp4
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1978,4024]) ).

cnf(11166,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp4
    | c1_1(X1)
    | hskp27
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[11153,1395,theory(equality)]) ).

cnf(11196,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp6
    | hskp4
    | ~ hskp10
    | ~ c2_1(a1987) ),
    inference(spm,[status(thm)],[93,11166,theory(equality)]) ).

cnf(11297,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp6
    | hskp4
    | ~ hskp10 ),
    inference(csr,[status(thm)],[11196,95]) ).

cnf(11298,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[11297,8958]) ).

cnf(11538,negated_conjecture,
    ( c0_1(a1987)
    | c1_1(a1991)
    | ~ hskp23
    | ~ hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[8307,82]) ).

cnf(11553,negated_conjecture,
    ( hskp30
    | hskp15
    | c1_1(a1991)
    | ~ hskp10
    | ~ hskp23
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2557,11538,theory(equality)]) ).

cnf(11591,negated_conjecture,
    ( hskp17
    | hskp30
    | hskp15
    | ~ hskp13
    | ~ hskp23
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1513,11553,theory(equality)]) ).

cnf(11600,negated_conjecture,
    ( hskp30
    | hskp17
    | hskp15
    | hskp8
    | hskp5
    | ~ hskp13
    | ~ hskp10 ),
    inference(spm,[status(thm)],[11591,11,theory(equality)]) ).

cnf(11616,negated_conjecture,
    ( hskp30
    | hskp17
    | hskp15
    | hskp8
    | hskp5
    | hskp16
    | hskp12
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[11600,6523,theory(equality)]) ).

cnf(11700,negated_conjecture,
    ( hskp30
    | hskp17
    | hskp16
    | hskp15
    | hskp12
    | hskp11
    | hskp8
    | hskp5 ),
    inference(csr,[status(thm)],[11616,3609]) ).

cnf(11701,negated_conjecture,
    ( hskp30
    | hskp17
    | hskp15
    | hskp12
    | hskp11
    | hskp8
    | hskp5 ),
    inference(csr,[status(thm)],[11700,3374]) ).

cnf(11702,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp15
    | hskp12
    | hskp11
    | hskp8
    | hskp5 ),
    inference(spm,[status(thm)],[1592,11701,theory(equality)]) ).

cnf(11705,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp12
    | hskp11
    | hskp10
    | hskp8 ),
    inference(csr,[status(thm)],[11702,3694]) ).

cnf(11706,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp12
    | hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[11705,3694]) ).

cnf(11707,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[11706,8852]) ).

cnf(12144,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(X1)
    | hskp0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2050,1476]) ).

cnf(12148,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(a1991)
    | hskp0
    | ~ c2_1(a1991)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[12144,83,theory(equality)]) ).

cnf(12264,negated_conjecture,
    ( hskp10
    | hskp1
    | c1_1(a1991)
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[12148,82]) ).

cnf(12265,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp1
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1513,12264,theory(equality)]) ).

cnf(12266,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp1
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1907,12264,theory(equality)]) ).

cnf(12276,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp4
    | hskp17
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[4189,12265,theory(equality)]) ).

cnf(12278,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10
    | hskp1
    | hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2555,12266,theory(equality)]) ).

cnf(12342,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp10
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[12276,4281]) ).

cnf(12343,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp10
    | hskp4 ),
    inference(csr,[status(thm)],[12342,11009]) ).

cnf(12344,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp4 ),
    inference(csr,[status(thm)],[12343,7131]) ).

cnf(12352,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp8
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[12278,10243]) ).

cnf(12353,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[12352,1453]) ).

cnf(12653,negated_conjecture,
    ( c0_1(a1990)
    | c1_1(a2009)
    | ~ hskp23
    | ~ hskp21
    | ~ hskp12 ),
    inference(csr,[status(thm)],[8372,51]) ).

cnf(12654,negated_conjecture,
    ( c0_1(a1990)
    | ~ hskp23
    | ~ hskp21
    | ~ hskp12 ),
    inference(csr,[status(thm)],[12653,50]) ).

cnf(12679,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp12
    | ~ hskp23
    | ~ hskp21 ),
    inference(spm,[status(thm)],[3766,12654,theory(equality)]) ).

cnf(12719,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp21
    | ~ hskp12 ),
    inference(csr,[status(thm)],[12679,2870]) ).

cnf(12998,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ hskp17
    | ~ c3_1(X1)
    | ~ c2_1(a1998)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2071,67]) ).

cnf(13026,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ c2_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[12998,8466,theory(equality)]) ).

cnf(13058,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ hskp19
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a2001) ),
    inference(csr,[status(thm)],[2072,59]) ).

cnf(13087,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | ~ hskp19
    | ~ c2_1(X1)
    | ~ c1_1(a2001)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[13058,9696,theory(equality)]) ).

cnf(13093,negated_conjecture,
    ( hskp27
    | ~ hskp10
    | ~ hskp23
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ c2_1(a1987) ),
    inference(spm,[status(thm)],[93,13026,theory(equality)]) ).

cnf(13135,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | hskp4
    | ~ hskp23
    | ~ hskp19
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[13087,3040,theory(equality)]) ).

cnf(13145,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp1
    | ~ hskp23
    | ~ hskp19
    | ~ c2_1(a1971) ),
    inference(spm,[status(thm)],[129,13135,theory(equality)]) ).

cnf(13156,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp4
    | ~ hskp30
    | ~ hskp23
    | ~ hskp19
    | ~ c2_1(a2005) ),
    inference(spm,[status(thm)],[1548,13135,theory(equality)]) ).

cnf(13214,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp23
    | ~ hskp19
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13145,130]) ).

cnf(13215,negated_conjecture,
    ( hskp27
    | hskp4
    | hskp16
    | hskp15
    | ~ hskp23
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13214,9,theory(equality)]) ).

cnf(13221,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp15
    | hskp4
    | ~ hskp23 ),
    inference(csr,[status(thm)],[13215,4210]) ).

cnf(13222,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp4
    | ~ hskp23 ),
    inference(csr,[status(thm)],[13221,3035]) ).

cnf(13224,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp4
    | hskp17
    | hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[13222,2820,theory(equality)]) ).

cnf(13235,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp16
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[13224,3284]) ).

cnf(13236,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp16
    | hskp4 ),
    inference(csr,[status(thm)],[13235,3284]) ).

cnf(13237,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp4 ),
    inference(csr,[status(thm)],[13236,7131]) ).

cnf(13503,negated_conjecture,
    ( hskp27
    | ~ hskp23
    | ~ hskp17
    | ~ hskp10
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[13093,95]) ).

cnf(13504,negated_conjecture,
    ( hskp27
    | hskp28
    | hskp8
    | ~ hskp23
    | ~ hskp17
    | ~ hskp10 ),
    inference(spm,[status(thm)],[13503,2624,theory(equality)]) ).

cnf(13507,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp8
    | ~ hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[13504,9107]) ).

cnf(13508,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp8
    | hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[13507,11,theory(equality)]) ).

cnf(13511,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp8
    | hskp10
    | hskp6
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[13507,2818,theory(equality)]) ).

cnf(13567,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp10
    | hskp8
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[13511,9189]) ).

cnf(13568,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp10
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[13567,1593]) ).

cnf(13569,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[13568,8002]) ).

cnf(14566,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2126,71]) ).

cnf(14572,negated_conjecture,
    ( hskp20
    | c2_1(a1996)
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(spm,[status(thm)],[14566,70,theory(equality)]) ).

cnf(14634,negated_conjecture,
    ( hskp20
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[14572,69]) ).

cnf(14635,negated_conjecture,
    ( hskp20
    | hskp10
    | hskp1
    | ~ hskp16 ),
    inference(spm,[status(thm)],[14634,1444,theory(equality)]) ).

cnf(14637,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp6
    | ~ hskp16 ),
    inference(spm,[status(thm)],[14634,3769,theory(equality)]) ).

cnf(14653,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp1
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1912,14635,theory(equality)]) ).

cnf(14657,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp18
    | hskp6
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1912,14637,theory(equality)]) ).

cnf(14664,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10
    | hskp1
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2555,14653,theory(equality)]) ).

cnf(14667,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp18
    | hskp10
    | hskp6
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2555,14657,theory(equality)]) ).

cnf(14674,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp1
    | ~ hskp16 ),
    inference(csr,[status(thm)],[14664,1453]) ).

cnf(14712,negated_conjecture,
    ( hskp28
    | hskp18
    | hskp10
    | hskp6
    | ~ hskp16 ),
    inference(csr,[status(thm)],[14667,8002]) ).

cnf(14750,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ hskp27
    | ~ c0_1(a1970)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2130,27]) ).

cnf(14812,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ hskp28
    | ~ c0_1(a1972)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2131,22]) ).

cnf(14813,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ hskp28
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[14812,23]) ).

cnf(14814,negated_conjecture,
    ( hskp20
    | c2_1(a1973)
    | ~ hskp28
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[14813,126,theory(equality)]) ).

cnf(14820,negated_conjecture,
    ( hskp20
    | c2_1(a1998)
    | ~ hskp28
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[14813,66,theory(equality)]) ).

cnf(14824,negated_conjecture,
    ( hskp20
    | c2_1(a1972)
    | ~ hskp28
    | ~ c1_1(a1972) ),
    inference(spm,[status(thm)],[14813,21,theory(equality)]) ).

cnf(14877,negated_conjecture,
    ( hskp20
    | c2_1(a1972)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[14824,22]) ).

cnf(14878,negated_conjecture,
    ( hskp17
    | hskp20
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1522,14877,theory(equality)]) ).

cnf(15084,negated_conjecture,
    ( hskp20
    | c2_1(a1973)
    | ~ hskp28
    | ~ hskp2 ),
    inference(csr,[status(thm)],[14814,127]) ).

cnf(15085,negated_conjecture,
    ( hskp20
    | ~ hskp28
    | ~ hskp2 ),
    inference(csr,[status(thm)],[15084,125]) ).

cnf(15373,negated_conjecture,
    ( c0_1(a1970)
    | c1_1(a1991)
    | ~ hskp27
    | ~ hskp23
    | ~ hskp13 ),
    inference(csr,[status(thm)],[10308,82]) ).

cnf(15381,negated_conjecture,
    ( hskp26
    | hskp25
    | c1_1(a1991)
    | ~ hskp27
    | ~ hskp23
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1706,15373,theory(equality)]) ).

cnf(15443,negated_conjecture,
    ( hskp17
    | hskp26
    | hskp25
    | ~ hskp13
    | ~ hskp27
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1513,15381,theory(equality)]) ).

cnf(15453,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp17
    | ~ hskp27
    | ~ hskp23 ),
    inference(csr,[status(thm)],[15443,7130]) ).

cnf(15572,negated_conjecture,
    ( c0_1(a1970)
    | c1_1(a2009)
    | ~ hskp27
    | ~ hskp23
    | ~ hskp21 ),
    inference(csr,[status(thm)],[10311,51]) ).

cnf(15573,negated_conjecture,
    ( c0_1(a1970)
    | ~ hskp27
    | ~ hskp23
    | ~ hskp21 ),
    inference(csr,[status(thm)],[15572,50]) ).

cnf(15574,negated_conjecture,
    ( hskp17
    | ~ c2_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27
    | ~ hskp23
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1405,15573,theory(equality)]) ).

cnf(15659,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp23
    | ~ hskp21
    | ~ c2_1(a1970) ),
    inference(csr,[status(thm)],[15574,27]) ).

cnf(15660,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp23
    | ~ hskp21 ),
    inference(csr,[status(thm)],[15659,26]) ).

cnf(15661,negated_conjecture,
    ( ~ hskp27
    | ~ hskp23
    | ~ hskp21 ),
    inference(csr,[status(thm)],[15660,9088]) ).

cnf(15664,negated_conjecture,
    ( hskp6
    | ~ hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[15661,2870,theory(equality)]) ).

cnf(15720,negated_conjecture,
    ( hskp20
    | c2_1(a1998)
    | ~ hskp28
    | ~ c1_1(a1998) ),
    inference(csr,[status(thm)],[14820,14878]) ).

cnf(15721,negated_conjecture,
    ( hskp20
    | c2_1(a1998)
    | ~ hskp28
    | ~ hskp17 ),
    inference(spm,[status(thm)],[15720,67,theory(equality)]) ).

cnf(15763,negated_conjecture,
    ( hskp20
    | c2_1(a1998)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[15721,14878]) ).

cnf(15948,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ hskp28
    | ~ c0_1(a1972)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2187,22]) ).

cnf(15949,negated_conjecture,
    ( hskp16
    | c0_1(X1)
    | ~ hskp28
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[15948,23]) ).

cnf(15956,negated_conjecture,
    ( hskp16
    | c0_1(a1998)
    | ~ hskp28
    | ~ c1_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[15949,66,theory(equality)]) ).

cnf(16071,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | ~ hskp30
    | ~ hskp23
    | ~ hskp19 ),
    inference(csr,[status(thm)],[13156,14]) ).

cnf(16072,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | ~ hskp30
    | ~ hskp19 ),
    inference(csr,[status(thm)],[16071,3281]) ).

cnf(16073,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | ~ hskp19 ),
    inference(csr,[status(thm)],[16072,3281]) ).

cnf(16074,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp19 ),
    inference(csr,[status(thm)],[16073,7131]) ).

cnf(16569,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp25
    | hskp8
    | c2_1(a1973)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[2230,127]) ).

cnf(16570,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp25
    | hskp8
    | ~ hskp2 ),
    inference(csr,[status(thm)],[16569,125]) ).

cnf(16571,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp8
    | ~ hskp2 ),
    inference(csr,[status(thm)],[16570,1708]) ).

cnf(16574,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp25
    | hskp8
    | ~ hskp2 ),
    inference(spm,[status(thm)],[3809,16571,theory(equality)]) ).

cnf(16751,negated_conjecture,
    ( hskp16
    | c0_1(a1998)
    | ~ hskp28
    | ~ hskp17 ),
    inference(csr,[status(thm)],[15956,67]) ).

cnf(16752,negated_conjecture,
    ( hskp16
    | ~ hskp28
    | ~ hskp17 ),
    inference(csr,[status(thm)],[16751,65]) ).

cnf(16754,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp1
    | ~ hskp17
    | ~ hskp6 ),
    inference(spm,[status(thm)],[16752,2503,theory(equality)]) ).

cnf(16761,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp6
    | ~ hskp17 ),
    inference(spm,[status(thm)],[16752,9189,theory(equality)]) ).

cnf(16855,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp6
    | hskp27 ),
    inference(spm,[status(thm)],[16761,1593,theory(equality)]) ).

cnf(16873,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp6
    | hskp12
    | hskp11 ),
    inference(spm,[status(thm)],[16761,11707,theory(equality)]) ).

cnf(17008,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[16873,6558]) ).

cnf(17009,negated_conjecture,
    ( hskp10
    | hskp1
    | hskp16
    | hskp11 ),
    inference(spm,[status(thm)],[1476,17008,theory(equality)]) ).

cnf(17013,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[17009,3375]) ).

cnf(17014,negated_conjecture,
    ( hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[17013,3557]) ).

cnf(17020,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[16754,16761]) ).

cnf(17403,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp28
    | ~ c0_1(a1972)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2254,22]) ).

cnf(17404,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp28
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[17403,23]) ).

cnf(17409,negated_conjecture,
    ( hskp10
    | ~ hskp11
    | ~ hskp28
    | ~ c0_1(a1989)
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[89,17404,theory(equality)]) ).

cnf(17410,negated_conjecture,
    ( hskp10
    | ~ hskp13
    | ~ hskp28
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,17404,theory(equality)]) ).

cnf(17512,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp30
    | ~ c0_1(a2005)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2255,1591]) ).

cnf(17513,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp30
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[17512,15]) ).

cnf(17519,negated_conjecture,
    ( hskp10
    | ~ hskp13
    | ~ hskp30
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,17513,theory(equality)]) ).

cnf(17901,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp11
    | ~ c0_1(a1989) ),
    inference(csr,[status(thm)],[17409,91]) ).

cnf(17902,negated_conjecture,
    ( hskp10
    | ~ hskp11
    | ~ c0_1(a1989) ),
    inference(csr,[status(thm)],[17901,90]) ).

cnf(17903,negated_conjecture,
    ( hskp10
    | ~ c0_1(a1989) ),
    inference(csr,[status(thm)],[17902,17014]) ).

cnf(17905,negated_conjecture,
    ( hskp10
    | hskp27
    | hskp4
    | c1_1(a1989)
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[17903,1395,theory(equality)]) ).

cnf(17908,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp13
    | ~ c0_1(a1991) ),
    inference(csr,[status(thm)],[17410,82]) ).

cnf(17909,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp13 ),
    inference(csr,[status(thm)],[17908,83]) ).

cnf(17910,negated_conjecture,
    ( hskp10
    | hskp17
    | hskp1
    | ~ hskp28
    | ~ hskp6 ),
    inference(spm,[status(thm)],[17909,3114,theory(equality)]) ).

cnf(17913,negated_conjecture,
    ( hskp10
    | hskp17
    | ~ hskp28
    | ~ hskp27 ),
    inference(spm,[status(thm)],[17909,7130,theory(equality)]) ).

cnf(17915,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp21
    | hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[17913,12,theory(equality)]) ).

cnf(17933,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[17910,2503]) ).

cnf(17953,negated_conjecture,
    ( hskp6
    | hskp17
    | hskp10
    | hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[15664,17915,theory(equality)]) ).

cnf(18010,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[17953,1593]) ).

cnf(18011,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[18010,17933]) ).

cnf(18018,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp1 ),
    inference(spm,[status(thm)],[17020,18011,theory(equality)]) ).

cnf(18320,negated_conjecture,
    ( hskp10
    | ~ hskp30
    | ~ hskp13
    | ~ c0_1(a1991) ),
    inference(csr,[status(thm)],[17519,82]) ).

cnf(18321,negated_conjecture,
    ( hskp10
    | ~ hskp30
    | ~ hskp13 ),
    inference(csr,[status(thm)],[18320,83]) ).

cnf(18368,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | c1_1(a2049)
    | ~ hskp26
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2304,31]) ).

cnf(18369,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | ~ hskp26
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[18368,29]) ).

cnf(18372,negated_conjecture,
    ( hskp19
    | c0_1(a1983)
    | ~ hskp26
    | ~ c2_1(a1983)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[18369,103,theory(equality)]) ).

cnf(18376,negated_conjecture,
    ( hskp19
    | c0_1(a1998)
    | ~ hskp26
    | ~ c2_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[18369,66,theory(equality)]) ).

cnf(18379,negated_conjecture,
    ( hskp19
    | c0_1(a1970)
    | ~ hskp26
    | ~ c2_1(a1970)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[18369,25,theory(equality)]) ).

cnf(18683,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp27
    | hskp4
    | ~ hskp11
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[1870,17905,theory(equality)]) ).

cnf(18774,negated_conjecture,
    ( hskp19
    | ~ hskp26
    | ~ hskp8
    | ~ c2_1(a1983) ),
    inference(csr,[status(thm)],[18372,102]) ).

cnf(18776,negated_conjecture,
    ( hskp19
    | hskp22
    | hskp2
    | ~ hskp26
    | ~ hskp8 ),
    inference(spm,[status(thm)],[18774,6781,theory(equality)]) ).

cnf(18819,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp2
    | hskp25
    | ~ hskp8
    | ~ hskp16 ),
    inference(spm,[status(thm)],[18776,6909,theory(equality)]) ).

cnf(18947,negated_conjecture,
    ( hskp19
    | ~ hskp26
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[18376,65]) ).

cnf(18949,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp11
    | ~ hskp26
    | ~ hskp17 ),
    inference(spm,[status(thm)],[18947,3412,theory(equality)]) ).

cnf(18951,negated_conjecture,
    ( hskp19
    | hskp20
    | ~ hskp26
    | ~ hskp17
    | ~ hskp28 ),
    inference(spm,[status(thm)],[18947,15763,theory(equality)]) ).

cnf(18978,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp11
    | hskp25
    | ~ hskp17
    | ~ hskp28 ),
    inference(spm,[status(thm)],[18949,1708,theory(equality)]) ).

cnf(19030,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp28
    | ~ hskp26 ),
    inference(csr,[status(thm)],[18951,14878]) ).

cnf(19031,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp25
    | ~ hskp28 ),
    inference(spm,[status(thm)],[19030,1708,theory(equality)]) ).

cnf(19057,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp12
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[18978,3484]) ).

cnf(19093,negated_conjecture,
    ( hskp19
    | c0_1(a1970)
    | ~ hskp27
    | ~ hskp26 ),
    inference(csr,[status(thm)],[18379,26]) ).

cnf(19094,negated_conjecture,
    ( hskp17
    | hskp19
    | ~ c2_1(a1970)
    | ~ c1_1(a1970)
    | ~ hskp27
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1405,19093,theory(equality)]) ).

cnf(19188,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp10
    | hskp4
    | ~ hskp11 ),
    inference(csr,[status(thm)],[18683,91]) ).

cnf(19189,negated_conjecture,
    ( hskp27
    | hskp14
    | hskp10
    | hskp4 ),
    inference(csr,[status(thm)],[19188,17014]) ).

cnf(19190,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp27
    | hskp10
    | hskp4 ),
    inference(spm,[status(thm)],[2555,19189,theory(equality)]) ).

cnf(19847,negated_conjecture,
    ( hskp19
    | hskp17
    | ~ hskp27
    | ~ hskp26
    | ~ c2_1(a1970) ),
    inference(csr,[status(thm)],[19094,27]) ).

cnf(19848,negated_conjecture,
    ( hskp19
    | hskp17
    | ~ hskp27
    | ~ hskp26 ),
    inference(csr,[status(thm)],[19847,26]) ).

cnf(19849,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp25
    | ~ hskp27
    | ~ hskp28 ),
    inference(spm,[status(thm)],[19848,1708,theory(equality)]) ).

cnf(19870,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp25
    | ~ hskp27
    | ~ hskp23 ),
    inference(spm,[status(thm)],[19848,15453,theory(equality)]) ).

cnf(19910,negated_conjecture,
    ( hskp10
    | c0_1(a1974)
    | c3_1(X1)
    | ~ hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2360,123]) ).

cnf(19911,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | ~ hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[19910,121]) ).

cnf(19913,negated_conjecture,
    ( hskp10
    | ~ hskp5
    | ~ hskp3
    | ~ c0_1(a1977)
    | ~ c1_1(a1977) ),
    inference(spm,[status(thm)],[113,19911,theory(equality)]) ).

cnf(19914,negated_conjecture,
    ( hskp10
    | ~ hskp7
    | ~ hskp3
    | ~ c0_1(a1981)
    | ~ c1_1(a1981) ),
    inference(spm,[status(thm)],[105,19911,theory(equality)]) ).

cnf(19926,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp10
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1349,19911,theory(equality)]) ).

cnf(20014,negated_conjecture,
    ( hskp10
    | ~ hskp5
    | ~ hskp3
    | ~ c0_1(a1977) ),
    inference(csr,[status(thm)],[19913,115]) ).

cnf(20094,negated_conjecture,
    ( hskp10
    | ~ hskp7
    | ~ hskp3
    | ~ c0_1(a1981) ),
    inference(csr,[status(thm)],[19914,106]) ).

cnf(20095,negated_conjecture,
    ( hskp10
    | ~ hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[20094,107]) ).

cnf(21515,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp10
    | ~ hskp3
    | ~ c1_1(a1978)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[19926,19,theory(equality)]) ).

cnf(21913,negated_conjecture,
    ( hskp3
    | c0_1(a1998)
    | c0_1(X1)
    | ~ hskp17
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2413,67]) ).

cnf(21914,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | ~ hskp17
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[21913,65]) ).

cnf(21918,negated_conjecture,
    ( hskp3
    | ~ hskp9
    | ~ hskp17
    | ~ c2_1(a1985)
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[98,21914,theory(equality)]) ).

cnf(21919,negated_conjecture,
    ( hskp3
    | ~ hskp11
    | ~ hskp17
    | ~ c2_1(a1989)
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[90,21914,theory(equality)]) ).

cnf(21922,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ c1_1(a1998) ),
    inference(spm,[status(thm)],[65,21914,theory(equality)]) ).

cnf(22031,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[21922,67]) ).

cnf(22034,negated_conjecture,
    ( hskp3
    | hskp11
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[22031,4838,theory(equality)]) ).

cnf(22675,negated_conjecture,
    ( hskp29
    | c0_1(a1973)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp2
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2475,127]) ).

cnf(22676,negated_conjecture,
    ( hskp29
    | c0_1(a1973)
    | c2_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[22675,126,theory(equality)]) ).

cnf(22732,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp6
    | ~ c3_1(X1)
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[2476,110]) ).

cnf(22779,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ hskp9
    | ~ c2_1(a1985) ),
    inference(csr,[status(thm)],[21918,99]) ).

cnf(22801,negated_conjecture,
    ( hskp29
    | c0_1(a1973)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[22676,125]) ).

cnf(22806,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp29
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1594,22801,theory(equality)]) ).

cnf(22900,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp29
    | hskp25
    | ~ hskp27
    | ~ hskp2 ),
    inference(spm,[status(thm)],[19848,22806,theory(equality)]) ).

cnf(22947,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ hskp11
    | ~ c1_1(a1989) ),
    inference(csr,[status(thm)],[21919,91]) ).

cnf(22948,negated_conjecture,
    ( hskp3
    | hskp23
    | hskp6
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[22947,2816,theory(equality)]) ).

cnf(22957,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ hskp11
    | ~ hskp23 ),
    inference(spm,[status(thm)],[22947,8977,theory(equality)]) ).

cnf(22976,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[22948,22957]) ).

cnf(22985,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[22976,7132,theory(equality)]) ).

cnf(23070,negated_conjecture,
    ( hskp29
    | c0_1(a1998)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp17
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2481,67]) ).

cnf(23071,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp17
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[23070,65]) ).

cnf(23073,negated_conjecture,
    ( hskp29
    | c0_1(a1979)
    | c2_1(a1979)
    | ~ hskp17
    | ~ hskp6 ),
    inference(spm,[status(thm)],[23071,111,theory(equality)]) ).

cnf(23078,negated_conjecture,
    ( hskp29
    | c0_1(a1998)
    | c2_1(a1998)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[23071,66,theory(equality)]) ).

cnf(23115,negated_conjecture,
    ( hskp29
    | c2_1(a1998)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[23078,65]) ).

cnf(23116,negated_conjecture,
    ( hskp11
    | hskp4
    | hskp29
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1841,23115,theory(equality)]) ).

cnf(23144,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2159,23116,theory(equality)]) ).

cnf(23519,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp17
    | ~ hskp27
    | ~ hskp2 ),
    inference(csr,[status(thm)],[22900,1524]) ).

cnf(23612,negated_conjecture,
    ( hskp29
    | c0_1(a1979)
    | ~ hskp17
    | ~ hskp6 ),
    inference(csr,[status(thm)],[23073,109]) ).

cnf(23613,negated_conjecture,
    ( hskp29
    | ~ hskp17
    | ~ hskp6 ),
    inference(csr,[status(thm)],[23612,110]) ).

cnf(23616,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp17
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2159,23613,theory(equality)]) ).

cnf(24102,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | ~ c2_1(a1970) ),
    inference(csr,[status(thm)],[2538,27]) ).

cnf(24103,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[24102,26]) ).

cnf(24104,negated_conjecture,
    ( hskp28
    | c0_1(a1969)
    | c1_1(a1969)
    | ~ hskp0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[133,24103,theory(equality)]) ).

cnf(24108,negated_conjecture,
    ( hskp28
    | c0_1(a1989)
    | c1_1(a1989)
    | ~ hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[89,24103,theory(equality)]) ).

cnf(24110,negated_conjecture,
    ( hskp28
    | c0_1(a2000)
    | c1_1(a2000)
    | ~ hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[61,24103,theory(equality)]) ).

cnf(24112,negated_conjecture,
    ( hskp28
    | c0_1(a2009)
    | c1_1(a2009)
    | ~ hskp21
    | ~ hskp27 ),
    inference(spm,[status(thm)],[49,24103,theory(equality)]) ).

cnf(24114,negated_conjecture,
    ( hskp28
    | c0_1(a2041)
    | c1_1(a2041)
    | ~ hskp25
    | ~ hskp27 ),
    inference(spm,[status(thm)],[33,24103,theory(equality)]) ).

cnf(24209,negated_conjecture,
    ( hskp28
    | c0_1(a1969)
    | c1_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[24104,3984]) ).

cnf(24210,negated_conjecture,
    ( hskp28
    | c0_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[24209,135]) ).

cnf(24222,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp28
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2313,24210,theory(equality)]) ).

cnf(24287,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp15
    | hskp10
    | hskp1 ),
    inference(spm,[status(thm)],[24222,12353,theory(equality)]) ).

cnf(24293,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[24287,18018]) ).

cnf(24294,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[24293,14674]) ).

cnf(24539,negated_conjecture,
    ( hskp28
    | c1_1(a1989)
    | ~ hskp27
    | ~ hskp11 ),
    inference(csr,[status(thm)],[24108,90]) ).

cnf(24540,negated_conjecture,
    ( hskp14
    | hskp10
    | hskp28
    | ~ hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1870,24539,theory(equality)]) ).

cnf(24553,negated_conjecture,
    ( hskp3
    | hskp28
    | ~ hskp17
    | ~ hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[22947,24539,theory(equality)]) ).

cnf(24555,negated_conjecture,
    ( hskp28
    | hskp14
    | hskp10
    | ~ hskp27 ),
    inference(csr,[status(thm)],[24540,17014]) ).

cnf(24556,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2555,24555,theory(equality)]) ).

cnf(24563,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp8
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[16752,24556,theory(equality)]) ).

cnf(24567,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[17913,24556,theory(equality)]) ).

cnf(24585,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp27
    | ~ hskp11 ),
    inference(csr,[status(thm)],[24553,7132]) ).

cnf(24592,negated_conjecture,
    ( hskp16
    | hskp3
    | ~ hskp17
    | ~ hskp27
    | ~ hskp11 ),
    inference(spm,[status(thm)],[16752,24585,theory(equality)]) ).

cnf(24597,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp8
    | ~ hskp27 ),
    inference(csr,[status(thm)],[24563,24567]) ).

cnf(24600,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp8
    | hskp6 ),
    inference(spm,[status(thm)],[24597,16855,theory(equality)]) ).

cnf(24602,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[24600,8002]) ).

cnf(24683,negated_conjecture,
    ( hskp16
    | hskp3
    | ~ hskp27
    | ~ hskp11 ),
    inference(csr,[status(thm)],[24592,7132]) ).

cnf(24793,negated_conjecture,
    ( hskp28
    | c0_1(a2000)
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[24110,62]) ).

cnf(24794,negated_conjecture,
    ( hskp28
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[24793,63]) ).

cnf(24795,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp16
    | ~ hskp27 ),
    inference(spm,[status(thm)],[24794,8,theory(equality)]) ).

cnf(24801,negated_conjecture,
    ( hskp28
    | hskp4
    | ~ hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[24794,4024,theory(equality)]) ).

cnf(24817,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp6
    | ~ hskp27
    | ~ hskp16 ),
    inference(spm,[status(thm)],[24794,14712,theory(equality)]) ).

cnf(24825,negated_conjecture,
    ( hskp16
    | hskp21
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[16752,24795,theory(equality)]) ).

cnf(24830,negated_conjecture,
    ( hskp28
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[24801,7131]) ).

cnf(24837,negated_conjecture,
    ( hskp16
    | hskp4
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[16752,24830,theory(equality)]) ).

cnf(24848,negated_conjecture,
    ( hskp6
    | hskp16
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[9091,24825,theory(equality)]) ).

cnf(24856,negated_conjecture,
    ( hskp16
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[24837,13237]) ).

cnf(24970,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[24817,24602]) ).

cnf(24971,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[24970,13569]) ).

cnf(24982,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[17913,24971,theory(equality)]) ).

cnf(25054,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[24982,1593]) ).

cnf(25533,negated_conjecture,
    ( hskp28
    | c0_1(a2009)
    | ~ hskp27
    | ~ hskp21 ),
    inference(csr,[status(thm)],[24112,50]) ).

cnf(25542,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp28
    | ~ hskp21
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1738,25533,theory(equality)]) ).

cnf(25547,negated_conjecture,
    ( hskp12
    | hskp0
    | hskp28
    | ~ hskp21
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2263,25533,theory(equality)]) ).

cnf(25631,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp15
    | hskp12
    | ~ hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[24222,25547,theory(equality)]) ).

cnf(25678,negated_conjecture,
    ( hskp28
    | c1_1(a2041)
    | ~ hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[24114,35]) ).

cnf(25679,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp25
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2688,25678,theory(equality)]) ).

cnf(25728,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp10
    | hskp4
    | ~ hskp27
    | ~ hskp30 ),
    inference(spm,[status(thm)],[25679,6390,theory(equality)]) ).

cnf(25789,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp19
    | hskp17
    | ~ hskp27
    | ~ hskp23 ),
    inference(spm,[status(thm)],[25679,19870,theory(equality)]) ).

cnf(26407,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(a2049)
    | ~ hskp26
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2610,31]) ).

cnf(26408,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp26
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[26407,29]) ).

cnf(26412,negated_conjecture,
    ( hskp14
    | c0_1(a1985)
    | ~ hskp9
    | ~ hskp26
    | ~ c2_1(a1985) ),
    inference(spm,[status(thm)],[97,26408,theory(equality)]) ).

cnf(26413,negated_conjecture,
    ( hskp14
    | c0_1(a1989)
    | ~ hskp11
    | ~ hskp26
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[89,26408,theory(equality)]) ).

cnf(26415,negated_conjecture,
    ( hskp14
    | c0_1(a2000)
    | ~ hskp18
    | ~ hskp26
    | ~ c2_1(a2000) ),
    inference(spm,[status(thm)],[61,26408,theory(equality)]) ).

cnf(26416,negated_conjecture,
    ( hskp14
    | c0_1(a2003)
    | ~ hskp20
    | ~ hskp26
    | ~ c2_1(a2003) ),
    inference(spm,[status(thm)],[53,26408,theory(equality)]) ).

cnf(26417,negated_conjecture,
    ( hskp14
    | c0_1(a2009)
    | ~ hskp21
    | ~ hskp26
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,26408,theory(equality)]) ).

cnf(26502,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | hskp14
    | ~ hskp26
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[18369,26408,theory(equality)]) ).

cnf(26516,negated_conjecture,
    ( hskp19
    | hskp14
    | ~ hskp3
    | ~ hskp26
    | ~ c2_1(a1974) ),
    inference(spm,[status(thm)],[121,26502,theory(equality)]) ).

cnf(26629,negated_conjecture,
    ( hskp19
    | hskp14
    | ~ hskp26
    | ~ hskp3 ),
    inference(csr,[status(thm)],[26516,122]) ).

cnf(26662,negated_conjecture,
    ( hskp19
    | hskp14
    | hskp29
    | hskp25
    | ~ hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[26629,22806,theory(equality)]) ).

cnf(26733,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp15
    | hskp12
    | ~ hskp27 ),
    inference(csr,[status(thm)],[25631,24795]) ).

cnf(26740,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp12
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[16752,26733,theory(equality)]) ).

cnf(27182,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp8
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[25728,24830]) ).

cnf(27183,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp8
    | hskp4 ),
    inference(csr,[status(thm)],[27182,19190]) ).

cnf(27430,negated_conjecture,
    ( hskp17
    | hskp28
    | hskp8
    | ~ hskp23
    | ~ hskp13
    | ~ hskp27 ),
    inference(spm,[status(thm)],[9987,25789,theory(equality)]) ).

cnf(27710,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp9
    | ~ c2_1(a1985) ),
    inference(csr,[status(thm)],[26412,98]) ).

cnf(27711,negated_conjecture,
    ( hskp14
    | hskp28
    | hskp8
    | ~ hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[27710,2547,theory(equality)]) ).

cnf(27712,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp26
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27711,2555]) ).

cnf(27721,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp25
    | ~ hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[27712,5480,theory(equality)]) ).

cnf(27870,negated_conjecture,
    ( hskp14
    | c0_1(a1989)
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[26413,91]) ).

cnf(27871,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp11 ),
    inference(csr,[status(thm)],[27870,90]) ).

cnf(27872,negated_conjecture,
    ( hskp14
    | hskp25
    | ~ hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[27871,1708,theory(equality)]) ).

cnf(27877,negated_conjecture,
    ( hskp14
    | hskp25
    | hskp18
    | hskp4
    | ~ hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[27871,4096,theory(equality)]) ).

cnf(27897,negated_conjecture,
    ( hskp14
    | hskp25
    | hskp8
    | ~ hskp11
    | ~ hskp2 ),
    inference(spm,[status(thm)],[27871,16571,theory(equality)]) ).

cnf(27904,negated_conjecture,
    ( hskp14
    | hskp29
    | hskp25
    | ~ hskp11
    | ~ hskp2 ),
    inference(spm,[status(thm)],[27871,22806,theory(equality)]) ).

cnf(27912,negated_conjecture,
    ( hskp17
    | hskp25
    | hskp14
    | ~ hskp11
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1524,27904,theory(equality)]) ).

cnf(27994,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp18
    | ~ c2_1(a2000) ),
    inference(csr,[status(thm)],[26415,63]) ).

cnf(27995,negated_conjecture,
    ( hskp14
    | c0_1(a2003)
    | ~ hskp26
    | ~ hskp20 ),
    inference(csr,[status(thm)],[26416,54]) ).

cnf(28008,negated_conjecture,
    ( hskp17
    | hskp4
    | hskp14
    | ~ hskp20
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2086,27995,theory(equality)]) ).

cnf(28121,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp4
    | hskp25
    | ~ hskp20
    | ~ hskp28 ),
    inference(spm,[status(thm)],[28008,1708,theory(equality)]) ).

cnf(28306,negated_conjecture,
    ( hskp14
    | c0_1(a2009)
    | ~ hskp26
    | ~ hskp21 ),
    inference(csr,[status(thm)],[26417,51]) ).

cnf(28315,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp14
    | ~ hskp21
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1738,28306,theory(equality)]) ).

cnf(28396,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp14
    | ~ hskp21
    | ~ hskp28 ),
    inference(spm,[status(thm)],[28315,1708,theory(equality)]) ).

cnf(28772,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp8
    | ~ hskp27
    | ~ hskp23 ),
    inference(csr,[status(thm)],[27430,7130]) ).

cnf(28774,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp8
    | hskp6
    | ~ hskp27
    | ~ hskp13 ),
    inference(spm,[status(thm)],[28772,2820,theory(equality)]) ).

cnf(28810,negated_conjecture,
    ( hskp25
    | hskp18
    | hskp14
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[27877,1878]) ).

cnf(28819,negated_conjecture,
    ( hskp13
    | c0_1(a1998)
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2669,67]) ).

cnf(28820,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[28819,65]) ).

cnf(28824,negated_conjecture,
    ( hskp13
    | c0_1(a1985)
    | ~ hskp9
    | ~ hskp17
    | ~ c2_1(a1985) ),
    inference(spm,[status(thm)],[97,28820,theory(equality)]) ).

cnf(28825,negated_conjecture,
    ( hskp13
    | c0_1(a1989)
    | ~ hskp11
    | ~ hskp17
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[89,28820,theory(equality)]) ).

cnf(28827,negated_conjecture,
    ( hskp13
    | c0_1(a2000)
    | ~ hskp18
    | ~ hskp17
    | ~ c2_1(a2000) ),
    inference(spm,[status(thm)],[61,28820,theory(equality)]) ).

cnf(28828,negated_conjecture,
    ( hskp13
    | c0_1(a2003)
    | ~ hskp20
    | ~ hskp17
    | ~ c2_1(a2003) ),
    inference(spm,[status(thm)],[53,28820,theory(equality)]) ).

cnf(28829,negated_conjecture,
    ( hskp13
    | c0_1(a2009)
    | ~ hskp21
    | ~ hskp17
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,28820,theory(equality)]) ).

cnf(28840,negated_conjecture,
    ( hskp20
    | hskp13
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1363,28820,theory(equality)]) ).

cnf(28927,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp3
    | ~ hskp17
    | ~ c2_1(a1974) ),
    inference(spm,[status(thm)],[121,28840,theory(equality)]) ).

cnf(29047,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[28927,122]) ).

cnf(29219,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp14
    | hskp4
    | ~ hskp28 ),
    inference(csr,[status(thm)],[28121,14878]) ).

cnf(29383,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp8
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[28774,7130]) ).

cnf(29384,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[29383,4927]) ).

cnf(29514,negated_conjecture,
    ( hskp13
    | ~ hskp17
    | ~ hskp9
    | ~ c2_1(a1985) ),
    inference(csr,[status(thm)],[28824,98]) ).

cnf(29515,negated_conjecture,
    ( hskp13
    | hskp28
    | hskp8
    | ~ hskp17
    | ~ hskp9 ),
    inference(spm,[status(thm)],[29514,2547,theory(equality)]) ).

cnf(29538,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | ~ hskp6
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2703,110]) ).

cnf(29543,negated_conjecture,
    ( hskp10
    | c2_1(a1996)
    | ~ hskp6
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[29538,71,theory(equality)]) ).

cnf(29544,negated_conjecture,
    ( hskp10
    | c2_1(a2012)
    | ~ hskp6
    | ~ c1_1(a2012)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[29538,47,theory(equality)]) ).

cnf(29612,negated_conjecture,
    ( hskp13
    | c0_1(a1989)
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[28825,91]) ).

cnf(29613,negated_conjecture,
    ( hskp13
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[29612,90]) ).

cnf(29622,negated_conjecture,
    ( hskp6
    | hskp4
    | hskp1
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[9024,29613,theory(equality)]) ).

cnf(29627,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[17909,29613,theory(equality)]) ).

cnf(29628,negated_conjecture,
    ( hskp10
    | ~ hskp30
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[18321,29613,theory(equality)]) ).

cnf(29635,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp17 ),
    inference(csr,[status(thm)],[29627,17014]) ).

cnf(29640,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp17 ),
    inference(spm,[status(thm)],[29635,24294,theory(equality)]) ).

cnf(29642,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp17
    | ~ hskp27
    | ~ hskp11 ),
    inference(spm,[status(thm)],[29635,24585,theory(equality)]) ).

cnf(29644,negated_conjecture,
    ( hskp10
    | hskp4
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[29635,24830,theory(equality)]) ).

cnf(29645,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp17 ),
    inference(spm,[status(thm)],[29635,24971,theory(equality)]) ).

cnf(29650,negated_conjecture,
    ( hskp10
    | hskp8
    | hskp4
    | ~ hskp17 ),
    inference(spm,[status(thm)],[29635,27183,theory(equality)]) ).

cnf(29654,negated_conjecture,
    ( hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[29640,18011]) ).

cnf(29655,negated_conjecture,
    ( hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[29645,25054]) ).

cnf(29656,negated_conjecture,
    ( hskp10
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[29628,17014]) ).

cnf(29657,negated_conjecture,
    ( hskp10
    | ~ hskp30 ),
    inference(csr,[status(thm)],[29656,1592]) ).

cnf(29668,negated_conjecture,
    ( hskp10
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[29657,5514,theory(equality)]) ).

cnf(29776,negated_conjecture,
    ( hskp10
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[29644,7131]) ).

cnf(29777,negated_conjecture,
    ( hskp10
    | hskp8
    | hskp4 ),
    inference(csr,[status(thm)],[29650,12344]) ).

cnf(29787,negated_conjecture,
    ( hskp6
    | hskp4
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[29622,23144]) ).

cnf(29788,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[29787,23616]) ).

cnf(29793,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[29788,7131,theory(equality)]) ).

cnf(29891,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[29642,17014]) ).

cnf(29892,negated_conjecture,
    ( hskp10
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[29891,7132]) ).

cnf(29997,negated_conjecture,
    ( hskp13
    | ~ hskp18
    | ~ hskp17
    | ~ c2_1(a2000) ),
    inference(csr,[status(thm)],[28827,63]) ).

cnf(30100,negated_conjecture,
    ( hskp13
    | c0_1(a2003)
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[28828,54]) ).

cnf(30109,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp13
    | ~ hskp20
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1737,30100,theory(equality)]) ).

cnf(30114,negated_conjecture,
    ( hskp12
    | hskp0
    | hskp13
    | ~ hskp20
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2261,30100,theory(equality)]) ).

cnf(30196,negated_conjecture,
    ( hskp25
    | hskp24
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30109,1699]) ).

cnf(30198,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30114,2201]) ).

cnf(30201,negated_conjecture,
    ( hskp12
    | hskp0
    | hskp13
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[30198,3416,theory(equality)]) ).

cnf(30275,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30201,29613]) ).

cnf(30276,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30275,2201]) ).

cnf(30277,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp15
    | hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3997,30276,theory(equality)]) ).

cnf(30286,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp12
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30277,26740]) ).

cnf(30402,negated_conjecture,
    ( hskp13
    | c0_1(a2009)
    | ~ hskp21
    | ~ hskp17 ),
    inference(csr,[status(thm)],[28829,51]) ).

cnf(30658,negated_conjecture,
    ( hskp10
    | c2_1(a1996)
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[29543,29655]) ).

cnf(30659,negated_conjecture,
    ( hskp10
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[30658,69]) ).

cnf(30660,negated_conjecture,
    ( hskp10
    | hskp30
    | hskp15
    | ~ hskp16 ),
    inference(spm,[status(thm)],[30659,2563,theory(equality)]) ).

cnf(30674,negated_conjecture,
    ( hskp15
    | hskp10
    | ~ hskp16 ),
    inference(csr,[status(thm)],[30660,29657]) ).

cnf(30725,negated_conjecture,
    ( hskp10
    | c2_1(a2012)
    | ~ hskp22
    | ~ c1_1(a2012) ),
    inference(csr,[status(thm)],[29544,29655]) ).

cnf(30726,negated_conjecture,
    ( hskp10
    | ~ hskp22
    | ~ c1_1(a2012) ),
    inference(csr,[status(thm)],[30725,46]) ).

cnf(30727,negated_conjecture,
    ( hskp10
    | hskp30
    | hskp5
    | ~ hskp22 ),
    inference(spm,[status(thm)],[30726,5877,theory(equality)]) ).

cnf(30728,negated_conjecture,
    ( hskp10
    | hskp4
    | ~ hskp22 ),
    inference(spm,[status(thm)],[30726,6326,theory(equality)]) ).

cnf(30749,negated_conjecture,
    ( hskp10
    | hskp4
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[30728,6782,theory(equality)]) ).

cnf(30765,negated_conjecture,
    ( hskp10
    | hskp5
    | ~ hskp22 ),
    inference(csr,[status(thm)],[30727,29657]) ).

cnf(30799,negated_conjecture,
    ( hskp10
    | hskp4
    | hskp2 ),
    inference(csr,[status(thm)],[30749,29777]) ).

cnf(31028,negated_conjecture,
    ( hskp12
    | c0_1(a1998)
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2727,67]) ).

cnf(31029,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp17
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[31028,65]) ).

cnf(31033,negated_conjecture,
    ( hskp12
    | c0_1(a1985)
    | ~ hskp9
    | ~ hskp17
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[97,31029,theory(equality)]) ).

cnf(31034,negated_conjecture,
    ( hskp12
    | c0_1(a1989)
    | ~ hskp11
    | ~ hskp17
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[89,31029,theory(equality)]) ).

cnf(31040,negated_conjecture,
    ( hskp12
    | c0_1(a2041)
    | ~ hskp25
    | ~ hskp17
    | ~ c1_1(a2041) ),
    inference(spm,[status(thm)],[33,31029,theory(equality)]) ).

cnf(32095,negated_conjecture,
    ( hskp12
    | c0_1(a1985)
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[31033,99]) ).

cnf(32096,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[32095,98]) ).

cnf(32136,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp11
    | ~ c1_1(a1989) ),
    inference(csr,[status(thm)],[31034,90]) ).

cnf(32137,negated_conjecture,
    ( hskp12
    | hskp23
    | hskp6
    | ~ hskp17
    | ~ hskp11 ),
    inference(spm,[status(thm)],[32136,2816,theory(equality)]) ).

cnf(32143,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp11
    | ~ hskp23 ),
    inference(spm,[status(thm)],[32136,8977,theory(equality)]) ).

cnf(32154,negated_conjecture,
    ( hskp12
    | hskp28
    | ~ hskp17
    | ~ hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[32136,24539,theory(equality)]) ).

cnf(32158,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp17
    | ~ hskp11 ),
    inference(csr,[status(thm)],[32137,32143]) ).

cnf(32160,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[32158,4927,theory(equality)]) ).

cnf(32519,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp8
    | ~ c0_1(X1)
    | ~ c2_1(a1983)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2779,102]) ).

cnf(32595,negated_conjecture,
    ( hskp12
    | ~ hskp25
    | ~ hskp17
    | ~ c1_1(a2041) ),
    inference(csr,[status(thm)],[31040,35]) ).

cnf(32967,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp17
    | ~ c0_1(X1)
    | ~ c2_1(a1998)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2783,65]) ).

cnf(33179,negated_conjecture,
    ( c0_1(a2001)
    | c2_1(X1)
    | ~ hskp19
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2784,59]) ).

cnf(33180,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp19
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[33179,57]) ).

cnf(33183,negated_conjecture,
    ( c2_1(a1981)
    | ~ hskp19
    | ~ c1_1(a1981)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[33180,107,theory(equality)]) ).

cnf(33185,negated_conjecture,
    ( c2_1(a1996)
    | ~ hskp19
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[33180,71,theory(equality)]) ).

cnf(33189,negated_conjecture,
    ( c2_1(a1972)
    | ~ hskp19
    | ~ c1_1(a1972)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[33180,23,theory(equality)]) ).

cnf(33206,negated_conjecture,
    ( c2_1(a1973)
    | ~ hskp19
    | ~ c1_1(a1973)
    | ~ hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[33180,5475,theory(equality)]) ).

cnf(33242,negated_conjecture,
    ( c2_1(a1973)
    | hskp29
    | ~ hskp19
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[33180,22801,theory(equality)]) ).

cnf(33261,negated_conjecture,
    ( c2_1(a1981)
    | ~ hskp19
    | ~ hskp7 ),
    inference(csr,[status(thm)],[33183,106]) ).

cnf(33262,negated_conjecture,
    ( hskp17
    | ~ hskp7
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1512,33261,theory(equality)]) ).

cnf(33296,negated_conjecture,
    ( ~ hskp19
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[33185,69]) ).

cnf(33301,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp19
    | ~ hskp16 ),
    inference(spm,[status(thm)],[33296,6908,theory(equality)]) ).

cnf(33456,negated_conjecture,
    ( c2_1(a1972)
    | ~ hskp28
    | ~ hskp19 ),
    inference(csr,[status(thm)],[33189,22]) ).

cnf(33457,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1522,33456,theory(equality)]) ).

cnf(33466,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp15
    | ~ hskp28 ),
    inference(spm,[status(thm)],[33457,9,theory(equality)]) ).

cnf(33470,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ hskp28 ),
    inference(csr,[status(thm)],[33466,16752]) ).

cnf(33478,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[33470,26733,theory(equality)]) ).

cnf(33772,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp8
    | ~ c3_1(X1)
    | ~ c2_1(a1983) ),
    inference(csr,[status(thm)],[2798,102]) ).

cnf(33837,negated_conjecture,
    ( c2_1(a1973)
    | ~ hskp19
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[33206,127]) ).

cnf(33838,negated_conjecture,
    ( ~ hskp19
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[33837,125]) ).

cnf(33947,negated_conjecture,
    ( hskp29
    | c2_1(a1973)
    | ~ hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[33242,127]) ).

cnf(33948,negated_conjecture,
    ( hskp29
    | ~ hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[33947,125]) ).

cnf(33949,negated_conjecture,
    ( hskp17
    | ~ hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1524,33948,theory(equality)]) ).

cnf(33953,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp15
    | hskp13
    | ~ hskp19 ),
    inference(spm,[status(thm)],[33949,6522,theory(equality)]) ).

cnf(33986,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp15
    | hskp13 ),
    inference(csr,[status(thm)],[33953,9]) ).

cnf(33989,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp15
    | hskp12
    | hskp17 ),
    inference(spm,[status(thm)],[4009,33986,theory(equality)]) ).

cnf(34018,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp15
    | hskp12 ),
    inference(csr,[status(thm)],[33989,30286]) ).

cnf(34019,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp12 ),
    inference(csr,[status(thm)],[34018,33478]) ).

cnf(34058,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp17
    | ~ c3_1(X1)
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[2802,65]) ).

cnf(34146,negated_conjecture,
    ( hskp9
    | c0_1(a2001)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp19
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2803,59]) ).

cnf(34147,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp19
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[34146,57]) ).

cnf(34148,negated_conjecture,
    ( hskp9
    | c0_1(a1973)
    | c2_1(a1973)
    | ~ hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[34147,126,theory(equality)]) ).

cnf(34149,negated_conjecture,
    ( hskp9
    | c0_1(a1979)
    | c2_1(a1979)
    | ~ hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[34147,111,theory(equality)]) ).

cnf(34379,negated_conjecture,
    ( hskp9
    | c0_1(a1973)
    | ~ hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[34148,125]) ).

cnf(34380,negated_conjecture,
    ( c0_1(a1973)
    | ~ hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[34379,33838]) ).

cnf(34470,negated_conjecture,
    ( c2_1(a1973)
    | ~ hskp19
    | ~ c1_1(a1973)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[33180,34380,theory(equality)]) ).

cnf(34502,negated_conjecture,
    ( c2_1(a1973)
    | ~ hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[34470,127]) ).

cnf(34503,negated_conjecture,
    ( ~ hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[34502,125]) ).

cnf(34507,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[34503,6851,theory(equality)]) ).

cnf(34508,negated_conjecture,
    ( hskp10
    | hskp4
    | ~ hskp19 ),
    inference(spm,[status(thm)],[34503,30799,theory(equality)]) ).

cnf(34511,negated_conjecture,
    ( hskp10
    | hskp4
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[34508,9,theory(equality)]) ).

cnf(34513,negated_conjecture,
    ( hskp15
    | hskp10
    | hskp4 ),
    inference(csr,[status(thm)],[34511,30674]) ).

cnf(34514,negated_conjecture,
    ( hskp27
    | hskp4
    | hskp10 ),
    inference(spm,[status(thm)],[3035,34513,theory(equality)]) ).

cnf(34515,negated_conjecture,
    ( hskp10
    | hskp4 ),
    inference(csr,[status(thm)],[34514,29776]) ).

cnf(34517,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ hskp19 ),
    inference(csr,[status(thm)],[34507,34019]) ).

cnf(34518,negated_conjecture,
    ( hskp16
    | hskp15 ),
    inference(csr,[status(thm)],[34517,9]) ).

cnf(34519,negated_conjecture,
    ( hskp27
    | hskp4
    | hskp16 ),
    inference(spm,[status(thm)],[3035,34518,theory(equality)]) ).

cnf(34520,negated_conjecture,
    ( hskp16
    | hskp4 ),
    inference(csr,[status(thm)],[34519,24856]) ).

cnf(34575,negated_conjecture,
    ( hskp9
    | c0_1(a1979)
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[34149,109]) ).

cnf(34576,negated_conjecture,
    ( hskp9
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[34575,110]) ).

cnf(35198,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp10
    | ~ hskp29
    | ~ hskp3 ),
    inference(csr,[status(thm)],[21515,18]) ).

cnf(35219,negated_conjecture,
    ( hskp14
    | hskp25
    | hskp10
    | ~ hskp11
    | ~ hskp29
    | ~ hskp3 ),
    inference(spm,[status(thm)],[27871,35198,theory(equality)]) ).

cnf(35358,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp10
    | ~ hskp29
    | ~ hskp3 ),
    inference(csr,[status(thm)],[35219,17014]) ).

cnf(35380,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp10
    | hskp19
    | ~ hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[35358,26662,theory(equality)]) ).

cnf(35416,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[2833,67]) ).

cnf(35524,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(spm,[status(thm)],[34058,35416,theory(equality)]) ).

cnf(35531,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp10
    | ~ hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[35380,34503]) ).

cnf(35871,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp27
    | ~ c2_1(a1970) ),
    inference(csr,[status(thm)],[2836,27]) ).

cnf(35872,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[35871,26]) ).

cnf(35873,negated_conjecture,
    ( c0_1(a1969)
    | c2_1(a1969)
    | ~ hskp0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[133,35872,theory(equality)]) ).

cnf(35874,negated_conjecture,
    ( c0_1(a1977)
    | c2_1(a1977)
    | ~ hskp5
    | ~ hskp27 ),
    inference(spm,[status(thm)],[113,35872,theory(equality)]) ).

cnf(35876,negated_conjecture,
    ( c0_1(a1985)
    | c2_1(a1985)
    | ~ hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[97,35872,theory(equality)]) ).

cnf(35879,negated_conjecture,
    ( c0_1(a2000)
    | c2_1(a2000)
    | ~ hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[61,35872,theory(equality)]) ).

cnf(35883,negated_conjecture,
    ( c0_1(a2041)
    | c2_1(a2041)
    | ~ hskp25
    | ~ hskp27 ),
    inference(spm,[status(thm)],[33,35872,theory(equality)]) ).

cnf(35980,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp19
    | ~ hskp27 ),
    inference(spm,[status(thm)],[34147,35872,theory(equality)]) ).

cnf(36033,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp28
    | ~ c2_1(a1972) ),
    inference(csr,[status(thm)],[2837,22]) ).

cnf(36298,negated_conjecture,
    ( c0_1(a1969)
    | c2_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[35873,3984]) ).

cnf(36299,negated_conjecture,
    ( c0_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[36298,134]) ).

cnf(36311,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a1969)
    | c1_1(a1969)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1393,36299,theory(equality)]) ).

cnf(36382,negated_conjecture,
    ( c0_1(a1977)
    | ~ hskp27
    | ~ hskp5 ),
    inference(csr,[status(thm)],[35874,114]) ).

cnf(36440,negated_conjecture,
    ( hskp10
    | ~ hskp5
    | ~ hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[20014,36382,theory(equality)]) ).

cnf(36464,negated_conjecture,
    ( c2_1(a1977)
    | ~ hskp19
    | ~ c1_1(a1977)
    | ~ hskp27
    | ~ hskp5 ),
    inference(spm,[status(thm)],[33180,36382,theory(equality)]) ).

cnf(36468,negated_conjecture,
    ( hskp10
    | ~ hskp27
    | ~ hskp5 ),
    inference(csr,[status(thm)],[36440,29892]) ).

cnf(36477,negated_conjecture,
    ( hskp10
    | ~ hskp27
    | ~ hskp4 ),
    inference(spm,[status(thm)],[36468,29668,theory(equality)]) ).

cnf(36484,negated_conjecture,
    ( hskp10
    | ~ hskp27 ),
    inference(csr,[status(thm)],[36477,34515]) ).

cnf(36582,negated_conjecture,
    ( c2_1(a1985)
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[35876,98]) ).

cnf(36588,negated_conjecture,
    ( hskp3
    | ~ hskp17
    | ~ hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[22779,36582,theory(equality)]) ).

cnf(36589,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[27710,36582,theory(equality)]) ).

cnf(36590,negated_conjecture,
    ( hskp13
    | ~ hskp17
    | ~ hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[29514,36582,theory(equality)]) ).

cnf(36594,negated_conjecture,
    ( hskp3
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[36588,7132]) ).

cnf(36605,negated_conjecture,
    ( hskp3
    | hskp11
    | ~ hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[36594,22034,theory(equality)]) ).

cnf(36606,negated_conjecture,
    ( hskp3
    | ~ hskp27
    | ~ hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[36594,34576,theory(equality)]) ).

cnf(36616,negated_conjecture,
    ( hskp14
    | hskp25
    | hskp18
    | hskp4
    | ~ hskp27
    | ~ hskp9 ),
    inference(spm,[status(thm)],[36589,4096,theory(equality)]) ).

cnf(36637,negated_conjecture,
    ( hskp13
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[36590,7130]) ).

cnf(36658,negated_conjecture,
    ( hskp11
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[36605,7132]) ).

cnf(36660,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[22985,36658,theory(equality)]) ).

cnf(36661,negated_conjecture,
    ( hskp16
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[24683,36658,theory(equality)]) ).

cnf(36713,negated_conjecture,
    ( hskp3
    | ~ hskp27
    | ~ hskp19 ),
    inference(csr,[status(thm)],[36606,36660]) ).

cnf(36742,negated_conjecture,
    ( c2_1(a2000)
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[35879,63]) ).

cnf(36745,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2865,36742,theory(equality)]) ).

cnf(36751,negated_conjecture,
    ( ~ hskp23
    | ~ hskp18
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[9083,36742,theory(equality)]) ).

cnf(36757,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[27994,36742,theory(equality)]) ).

cnf(36758,negated_conjecture,
    ( hskp13
    | ~ hskp18
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[29997,36742,theory(equality)]) ).

cnf(36780,negated_conjecture,
    ( hskp14
    | hskp25
    | ~ hskp27
    | ~ hskp18
    | ~ hskp28 ),
    inference(spm,[status(thm)],[36757,1708,theory(equality)]) ).

cnf(36805,negated_conjecture,
    ( hskp13
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[36758,7130]) ).

cnf(36905,negated_conjecture,
    ( hskp6
    | ~ hskp27
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[36751,36745,theory(equality)]) ).

cnf(37033,negated_conjecture,
    ( c0_1(a2041)
    | ~ hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[35883,34]) ).

cnf(37034,negated_conjecture,
    ( ~ hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[37033,35]) ).

cnf(37035,negated_conjecture,
    ( hskp24
    | ~ hskp27
    | ~ hskp13 ),
    inference(spm,[status(thm)],[37034,1699,theory(equality)]) ).

cnf(37037,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp27
    | ~ hskp16 ),
    inference(spm,[status(thm)],[37034,2643,theory(equality)]) ).

cnf(37040,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp27
    | ~ hskp28 ),
    inference(spm,[status(thm)],[37034,3810,theory(equality)]) ).

cnf(37041,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp27
    | ~ hskp16 ),
    inference(spm,[status(thm)],[37034,3815,theory(equality)]) ).

cnf(37044,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp4
    | ~ hskp27
    | ~ hskp2 ),
    inference(spm,[status(thm)],[37034,3893,theory(equality)]) ).

cnf(37048,negated_conjecture,
    ( hskp18
    | hskp11
    | hskp9
    | hskp6
    | ~ hskp27
    | ~ hskp2 ),
    inference(spm,[status(thm)],[37034,4560,theory(equality)]) ).

cnf(37080,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp2
    | ~ hskp27
    | ~ hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[37034,18819,theory(equality)]) ).

cnf(37083,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp11
    | ~ hskp27
    | ~ hskp28 ),
    inference(spm,[status(thm)],[37034,19057,theory(equality)]) ).

cnf(37086,negated_conjecture,
    ( hskp19
    | hskp17
    | ~ hskp27
    | ~ hskp28 ),
    inference(spm,[status(thm)],[37034,19849,theory(equality)]) ).

cnf(37092,negated_conjecture,
    ( hskp19
    | hskp17
    | ~ hskp27
    | ~ hskp2 ),
    inference(spm,[status(thm)],[37034,23519,theory(equality)]) ).

cnf(37095,negated_conjecture,
    ( hskp28
    | hskp24
    | ~ hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[37034,25542,theory(equality)]) ).

cnf(37110,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ hskp27
    | ~ hskp28
    | ~ hskp21 ),
    inference(spm,[status(thm)],[37034,28396,theory(equality)]) ).

cnf(37117,negated_conjecture,
    ( hskp18
    | hskp14
    | hskp4
    | ~ hskp27 ),
    inference(spm,[status(thm)],[37034,28810,theory(equality)]) ).

cnf(37135,negated_conjecture,
    ( hskp24
    | ~ hskp27
    | ~ hskp20
    | ~ hskp17 ),
    inference(spm,[status(thm)],[37034,30196,theory(equality)]) ).

cnf(37145,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37037,34518]) ).

cnf(37151,negated_conjecture,
    ( hskp6
    | ~ hskp27
    | ~ hskp17
    | ~ hskp28 ),
    inference(spm,[status(thm)],[36905,37040,theory(equality)]) ).

cnf(37152,negated_conjecture,
    ( hskp28
    | hskp6
    | ~ hskp27
    | ~ hskp16 ),
    inference(spm,[status(thm)],[24794,37041,theory(equality)]) ).

cnf(37155,negated_conjecture,
    ( hskp8
    | c0_1(a1979)
    | c1_1(X1)
    | ~ hskp6
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2847,109]) ).

cnf(37156,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | ~ hskp6
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[37155,110]) ).

cnf(37157,negated_conjecture,
    ( hskp8
    | c1_1(a1971)
    | ~ hskp6
    | ~ c2_1(a1971)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[37156,131,theory(equality)]) ).

cnf(37160,negated_conjecture,
    ( hskp8
    | c1_1(a1991)
    | ~ hskp6
    | ~ c2_1(a1991)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[37156,83,theory(equality)]) ).

cnf(37164,negated_conjecture,
    ( hskp8
    | c1_1(a2049)
    | ~ hskp6
    | ~ c2_1(a2049)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[37156,31,theory(equality)]) ).

cnf(37167,negated_conjecture,
    ( hskp8
    | c1_1(a2005)
    | ~ hskp6
    | ~ c2_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[37156,15,theory(equality)]) ).

cnf(37239,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37086,33457]) ).

cnf(37243,negated_conjecture,
    ( hskp17
    | hskp21
    | hskp16
    | ~ hskp27 ),
    inference(spm,[status(thm)],[37239,24795,theory(equality)]) ).

cnf(37249,negated_conjecture,
    ( hskp17
    | hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[37239,29384,theory(equality)]) ).

cnf(37258,negated_conjecture,
    ( hskp16
    | hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[24848,37249,theory(equality)]) ).

cnf(37270,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp2 ),
    inference(csr,[status(thm)],[37092,34503]) ).

cnf(37293,negated_conjecture,
    ( hskp6
    | ~ hskp28
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37151,37239]) ).

cnf(37380,negated_conjecture,
    ( hskp28
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37152,37258]) ).

cnf(37381,negated_conjecture,
    ( hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37380,37293]) ).

cnf(37390,negated_conjecture,
    ( hskp21
    | hskp16
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37243,24825]) ).

cnf(37556,negated_conjecture,
    ( hskp25
    | hskp14
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[36780,24794]) ).

cnf(37557,negated_conjecture,
    ( hskp14
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[37556,37034]) ).

cnf(37599,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37044,37381]) ).

cnf(37600,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[37599,11298]) ).

cnf(37683,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ hskp27
    | ~ hskp21 ),
    inference(csr,[status(thm)],[37110,37095]) ).

cnf(37766,negated_conjecture,
    ( hskp7
    | c0_1(a1974)
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp3
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2880,122]) ).

cnf(37767,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp3
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[37766,121]) ).

cnf(37769,negated_conjecture,
    ( hskp7
    | c2_1(a1979)
    | ~ hskp6
    | ~ hskp3
    | ~ c1_1(a1979) ),
    inference(spm,[status(thm)],[110,37767,theory(equality)]) ).

cnf(37773,negated_conjecture,
    ( hskp7
    | c2_1(a1992)
    | ~ hskp14
    | ~ hskp3
    | ~ c1_1(a1992) ),
    inference(spm,[status(thm)],[78,37767,theory(equality)]) ).

cnf(37779,negated_conjecture,
    ( hskp7
    | c2_1(a2041)
    | ~ hskp25
    | ~ hskp3
    | ~ c1_1(a2041) ),
    inference(spm,[status(thm)],[35,37767,theory(equality)]) ).

cnf(38007,negated_conjecture,
    ( hskp9
    | c2_1(a2031)
    | ~ hskp24
    | ~ hskp27
    | ~ hskp19 ),
    inference(spm,[status(thm)],[39,35980,theory(equality)]) ).

cnf(38306,negated_conjecture,
    ( hskp25
    | hskp18
    | hskp14
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[36616,37117]) ).

cnf(38307,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[38306,37557]) ).

cnf(38308,negated_conjecture,
    ( hskp14
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[38307,37034]) ).

cnf(38355,negated_conjecture,
    ( hskp7
    | c0_1(a1998)
    | c2_1(X1)
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2885,32967]) ).

cnf(38356,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[38355,65]) ).

cnf(38359,negated_conjecture,
    ( hskp7
    | c2_1(a1977)
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[38356,115,theory(equality)]) ).

cnf(38362,negated_conjecture,
    ( hskp7
    | c2_1(a1992)
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[38356,79,theory(equality)]) ).

cnf(38468,negated_conjecture,
    ( hskp18
    | hskp11
    | hskp9
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[37048,37381]) ).

cnf(38469,negated_conjecture,
    ( hskp18
    | hskp11
    | hskp9
    | ~ hskp27 ),
    inference(csr,[status(thm)],[38468,4580]) ).

cnf(38473,negated_conjecture,
    ( hskp12
    | hskp18
    | hskp11
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[32096,38469,theory(equality)]) ).

cnf(38475,negated_conjecture,
    ( hskp13
    | hskp18
    | hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[36637,38469,theory(equality)]) ).

cnf(38477,negated_conjecture,
    ( hskp13
    | hskp11
    | ~ hskp27 ),
    inference(csr,[status(thm)],[38475,36805]) ).

cnf(38490,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp11
    | ~ hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[24794,38473,theory(equality)]) ).

cnf(38505,negated_conjecture,
    ( hskp28
    | hskp12
    | ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[38490,32154]) ).

cnf(38673,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp27
    | ~ hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[37080,33301]) ).

cnf(38993,negated_conjecture,
    ( hskp9
    | ~ hskp27
    | ~ hskp24
    | ~ hskp19 ),
    inference(csr,[status(thm)],[38007,37]) ).

cnf(39002,negated_conjecture,
    ( hskp9
    | ~ hskp27
    | ~ hskp19
    | ~ hskp13 ),
    inference(spm,[status(thm)],[38993,37035,theory(equality)]) ).

cnf(39004,negated_conjecture,
    ( hskp9
    | ~ hskp27
    | ~ hskp19
    | ~ hskp20
    | ~ hskp17 ),
    inference(spm,[status(thm)],[38993,37135,theory(equality)]) ).

cnf(39026,negated_conjecture,
    ( hskp9
    | hskp13
    | ~ hskp27
    | ~ hskp19
    | ~ hskp17 ),
    inference(spm,[status(thm)],[39004,2875,theory(equality)]) ).

cnf(39180,negated_conjecture,
    ( hskp13
    | hskp9
    | ~ hskp27
    | ~ hskp19 ),
    inference(csr,[status(thm)],[39026,7130]) ).

cnf(39181,negated_conjecture,
    ( hskp9
    | ~ hskp27
    | ~ hskp19 ),
    inference(csr,[status(thm)],[39180,39002]) ).

cnf(39185,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp27
    | ~ hskp19 ),
    inference(spm,[status(thm)],[32096,39181,theory(equality)]) ).

cnf(39189,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp27
    | ~ hskp17
    | ~ hskp28 ),
    inference(spm,[status(thm)],[39185,37083,theory(equality)]) ).

cnf(39195,negated_conjecture,
    ( hskp5
    | c0_1(a1983)
    | c3_1(X1)
    | ~ hskp8
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2900,101]) ).

cnf(39196,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | ~ hskp8
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[39195,102]) ).

cnf(39199,negated_conjecture,
    ( hskp5
    | ~ hskp7
    | ~ hskp8
    | ~ c0_1(a1981)
    | ~ c2_1(a1981) ),
    inference(spm,[status(thm)],[105,39196,theory(equality)]) ).

cnf(39202,negated_conjecture,
    ( hskp5
    | ~ hskp13
    | ~ hskp8
    | ~ c0_1(a1991)
    | ~ c2_1(a1991) ),
    inference(spm,[status(thm)],[81,39196,theory(equality)]) ).

cnf(39204,negated_conjecture,
    ( hskp5
    | ~ hskp20
    | ~ hskp8
    | ~ c0_1(a2003)
    | ~ c2_1(a2003) ),
    inference(spm,[status(thm)],[53,39196,theory(equality)]) ).

cnf(39205,negated_conjecture,
    ( hskp5
    | ~ hskp21
    | ~ hskp8
    | ~ c0_1(a2009)
    | ~ c2_1(a2009) ),
    inference(spm,[status(thm)],[49,39196,theory(equality)]) ).

cnf(39309,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[39189,38505]) ).

cnf(39773,negated_conjecture,
    ( hskp9
    | c2_1(a1979)
    | ~ hskp6
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(spm,[status(thm)],[110,35524,theory(equality)]) ).

cnf(39782,negated_conjecture,
    ( hskp9
    | c2_1(a2031)
    | ~ hskp24
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(spm,[status(thm)],[39,35524,theory(equality)]) ).

cnf(39783,negated_conjecture,
    ( hskp9
    | c2_1(a2041)
    | ~ hskp25
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(spm,[status(thm)],[35,35524,theory(equality)]) ).

cnf(40570,negated_conjecture,
    ( hskp30
    | hskp5
    | c2_1(a1969)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[36311,135]) ).

cnf(40571,negated_conjecture,
    ( hskp30
    | hskp5
    | ~ hskp0 ),
    inference(csr,[status(thm)],[40570,134]) ).

cnf(40716,negated_conjecture,
    ( c2_1(a1977)
    | ~ hskp27
    | ~ hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[36464,115]) ).

cnf(40717,negated_conjecture,
    ( ~ hskp27
    | ~ hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[40716,114]) ).

cnf(40718,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp27
    | ~ hskp5
    | ~ hskp28 ),
    inference(spm,[status(thm)],[40717,37083,theory(equality)]) ).

cnf(40759,negated_conjecture,
    ( hskp8
    | c1_1(a1971)
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[37157,130]) ).

cnf(40760,negated_conjecture,
    ( hskp8
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[40759,129]) ).

cnf(40763,negated_conjecture,
    ( hskp8
    | hskp10
    | ~ hskp1 ),
    inference(spm,[status(thm)],[40760,29655,theory(equality)]) ).

cnf(40764,negated_conjecture,
    ( hskp10
    | hskp8 ),
    inference(csr,[status(thm)],[40763,29654]) ).

cnf(40792,negated_conjecture,
    ( hskp8
    | c1_1(a1991)
    | ~ hskp13
    | ~ hskp6 ),
    inference(csr,[status(thm)],[37160,82]) ).

cnf(40793,negated_conjecture,
    ( hskp17
    | hskp8
    | ~ hskp13
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1513,40792,theory(equality)]) ).

cnf(40812,negated_conjecture,
    ( hskp17
    | hskp8
    | ~ hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[40793,7130,theory(equality)]) ).

cnf(40827,negated_conjecture,
    ( hskp17
    | hskp8
    | ~ hskp27 ),
    inference(csr,[status(thm)],[40812,37381]) ).

cnf(40841,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[39309,40827,theory(equality)]) ).

cnf(40996,negated_conjecture,
    ( hskp8
    | ~ hskp26
    | ~ hskp6
    | ~ c2_1(a2049) ),
    inference(csr,[status(thm)],[37164,29]) ).

cnf(40997,negated_conjecture,
    ( hskp8
    | hskp30
    | hskp5
    | ~ hskp26
    | ~ hskp6 ),
    inference(spm,[status(thm)],[40996,5969,theory(equality)]) ).

cnf(40999,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5
    | hskp25
    | ~ hskp6
    | ~ hskp28 ),
    inference(spm,[status(thm)],[40997,1708,theory(equality)]) ).

cnf(41011,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5
    | hskp25
    | ~ hskp6
    | ~ hskp16 ),
    inference(spm,[status(thm)],[40997,5843,theory(equality)]) ).

cnf(41076,negated_conjecture,
    ( hskp8
    | c1_1(a2005)
    | ~ hskp30
    | ~ hskp6 ),
    inference(csr,[status(thm)],[37167,14]) ).

cnf(41077,negated_conjecture,
    ( hskp17
    | hskp8
    | ~ hskp30
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1548,41076,theory(equality)]) ).

cnf(41078,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp8
    | ~ hskp30
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1742,41076,theory(equality)]) ).

cnf(41081,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp8
    | ~ hskp30
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2205,41076,theory(equality)]) ).

cnf(41104,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp5
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[41077,5514,theory(equality)]) ).

cnf(41165,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp25
    | ~ hskp9
    | ~ hskp30
    | ~ hskp6 ),
    inference(spm,[status(thm)],[27712,41078,theory(equality)]) ).

cnf(41204,negated_conjecture,
    ( hskp8
    | hskp4
    | ~ hskp30
    | ~ hskp6 ),
    inference(csr,[status(thm)],[41081,40760]) ).

cnf(41207,negated_conjecture,
    ( hskp8
    | hskp4
    | hskp27
    | ~ hskp6
    | ~ hskp10 ),
    inference(spm,[status(thm)],[41204,3846,theory(equality)]) ).

cnf(41246,negated_conjecture,
    ( hskp27
    | hskp8
    | hskp4
    | ~ hskp6 ),
    inference(csr,[status(thm)],[41207,34515]) ).

cnf(41248,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[29793,41246,theory(equality)]) ).

cnf(41251,negated_conjecture,
    ( hskp8
    | hskp4
    | ~ hskp6 ),
    inference(csr,[status(thm)],[41248,40760]) ).

cnf(41281,negated_conjecture,
    ( hskp7
    | ~ hskp6
    | ~ hskp3
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[37769,109]) ).

cnf(41537,negated_conjecture,
    ( hskp7
    | c2_1(a1992)
    | ~ hskp14
    | ~ hskp3 ),
    inference(csr,[status(thm)],[37773,79]) ).

cnf(41538,negated_conjecture,
    ( hskp7
    | ~ hskp14
    | ~ hskp3 ),
    inference(csr,[status(thm)],[41537,77]) ).

cnf(41540,negated_conjecture,
    ( hskp25
    | hskp24
    | hskp16
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2273,41538,theory(equality)]) ).

cnf(41544,negated_conjecture,
    ( hskp22
    | hskp4
    | hskp1
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[4142,41538,theory(equality)]) ).

cnf(41550,negated_conjecture,
    ( hskp10
    | ~ hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[20095,41538,theory(equality)]) ).

cnf(41623,negated_conjecture,
    ( hskp24
    | hskp16
    | ~ hskp27
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[37034,41540,theory(equality)]) ).

cnf(41626,negated_conjecture,
    ( hskp10
    | hskp5
    | hskp4
    | hskp1
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[30765,41544,theory(equality)]) ).

cnf(41913,negated_conjecture,
    ( hskp24
    | hskp16
    | ~ hskp27
    | ~ hskp14 ),
    inference(csr,[status(thm)],[41623,36661]) ).

cnf(42133,negated_conjecture,
    ( hskp7
    | ~ hskp25
    | ~ hskp3
    | ~ c1_1(a2041) ),
    inference(csr,[status(thm)],[37779,34]) ).

cnf(42565,negated_conjecture,
    ( hskp7
    | ~ hskp17
    | ~ hskp5
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[38359,114]) ).

cnf(42569,negated_conjecture,
    ( hskp7
    | hskp20
    | ~ hskp17
    | ~ hskp5
    | ~ hskp28 ),
    inference(spm,[status(thm)],[42565,15763,theory(equality)]) ).

cnf(42680,negated_conjecture,
    ( hskp20
    | hskp7
    | ~ hskp28
    | ~ hskp5 ),
    inference(csr,[status(thm)],[42569,14878]) ).

cnf(42681,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp16
    | hskp20
    | ~ hskp28
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2272,42680,theory(equality)]) ).

cnf(42757,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp27
    | ~ hskp30
    | ~ hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[37034,41165,theory(equality)]) ).

cnf(42882,negated_conjecture,
    ( hskp7
    | ~ hskp17
    | ~ hskp14
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[38362,77]) ).

cnf(42886,negated_conjecture,
    ( hskp7
    | hskp20
    | ~ hskp17
    | ~ hskp14
    | ~ hskp28 ),
    inference(spm,[status(thm)],[42882,15763,theory(equality)]) ).

cnf(42936,negated_conjecture,
    ( hskp20
    | hskp7
    | ~ hskp28
    | ~ hskp14 ),
    inference(csr,[status(thm)],[42886,14878]) ).

cnf(43216,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(a1990)
    | c2_1(X1)
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2968,86]) ).

cnf(43217,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[43216,85]) ).

cnf(43219,negated_conjecture,
    ( hskp21
    | c2_1(a1977)
    | ~ hskp5
    | ~ hskp12
    | ~ c1_1(a1977) ),
    inference(spm,[status(thm)],[113,43217,theory(equality)]) ).

cnf(43220,negated_conjecture,
    ( hskp21
    | c2_1(a1981)
    | ~ hskp7
    | ~ hskp12
    | ~ c1_1(a1981) ),
    inference(spm,[status(thm)],[105,43217,theory(equality)]) ).

cnf(43221,negated_conjecture,
    ( hskp21
    | c2_1(a1985)
    | ~ hskp9
    | ~ hskp12
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[97,43217,theory(equality)]) ).

cnf(43228,negated_conjecture,
    ( hskp21
    | c2_1(a2041)
    | ~ hskp25
    | ~ hskp12
    | ~ c1_1(a2041) ),
    inference(spm,[status(thm)],[33,43217,theory(equality)]) ).

cnf(43558,negated_conjecture,
    ( hskp5
    | ~ hskp8
    | ~ hskp7
    | ~ c2_1(a1981) ),
    inference(csr,[status(thm)],[39199,107]) ).

cnf(43562,negated_conjecture,
    ( hskp5
    | ~ hskp8
    | ~ hskp7
    | ~ hskp19 ),
    inference(spm,[status(thm)],[43558,33261,theory(equality)]) ).

cnf(43592,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | ~ hskp8
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[43562,41538,theory(equality)]) ).

cnf(43833,negated_conjecture,
    ( hskp5
    | ~ hskp13
    | ~ hskp8
    | ~ c0_1(a1991) ),
    inference(csr,[status(thm)],[39202,82]) ).

cnf(43834,negated_conjecture,
    ( hskp5
    | ~ hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[43833,83]) ).

cnf(43835,negated_conjecture,
    ( hskp5
    | hskp17
    | ~ hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[43834,7130,theory(equality)]) ).

cnf(43840,negated_conjecture,
    ( hskp5
    | hskp11
    | ~ hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[43834,38477,theory(equality)]) ).

cnf(43842,negated_conjecture,
    ( hskp17
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[43835,40827]) ).

cnf(43858,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp28
    | ~ hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[40718,43840,theory(equality)]) ).

cnf(43884,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp28
    | ~ hskp27 ),
    inference(csr,[status(thm)],[43858,40841]) ).

cnf(43885,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp21
    | hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[43884,12,theory(equality)]) ).

cnf(43895,negated_conjecture,
    ( hskp6
    | hskp12
    | hskp11
    | hskp1
    | ~ hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[9091,43885,theory(equality)]) ).

cnf(43908,negated_conjecture,
    ( hskp5
    | ~ hskp20
    | ~ hskp8
    | ~ c0_1(a2003) ),
    inference(csr,[status(thm)],[39204,54]) ).

cnf(43919,negated_conjecture,
    ( hskp5
    | hskp14
    | ~ hskp20
    | ~ hskp8
    | ~ hskp26 ),
    inference(spm,[status(thm)],[43908,27995,theory(equality)]) ).

cnf(43921,negated_conjecture,
    ( hskp5
    | hskp13
    | ~ hskp20
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[43908,30100,theory(equality)]) ).

cnf(43961,negated_conjecture,
    ( hskp5
    | ~ hskp20
    | ~ hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[43921,43834]) ).

cnf(43981,negated_conjecture,
    ( hskp5
    | hskp13
    | ~ hskp17
    | ~ hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[43961,29047,theory(equality)]) ).

cnf(44115,negated_conjecture,
    ( hskp5
    | ~ hskp17
    | ~ hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[43981,43834]) ).

cnf(44244,negated_conjecture,
    ( hskp5
    | ~ hskp21
    | ~ hskp8
    | ~ c0_1(a2009) ),
    inference(csr,[status(thm)],[39205,51]) ).

cnf(44257,negated_conjecture,
    ( hskp5
    | hskp13
    | ~ hskp21
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[44244,30402,theory(equality)]) ).

cnf(44298,negated_conjecture,
    ( hskp13
    | hskp5
    | ~ hskp21
    | ~ hskp17 ),
    inference(csr,[status(thm)],[44257,9089]) ).

cnf(44308,negated_conjecture,
    ( hskp5
    | ~ hskp8
    | ~ hskp21
    | ~ hskp17 ),
    inference(spm,[status(thm)],[43834,44298,theory(equality)]) ).

cnf(44309,negated_conjecture,
    ( hskp5
    | ~ hskp21
    | ~ hskp17 ),
    inference(csr,[status(thm)],[44308,9089]) ).

cnf(44310,negated_conjecture,
    ( hskp10
    | hskp5
    | hskp4
    | hskp1
    | ~ hskp14 ),
    inference(csr,[status(thm)],[41626,29654]) ).

cnf(44311,negated_conjecture,
    ( hskp10
    | hskp5
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[44310,29654]) ).

cnf(44312,negated_conjecture,
    ( hskp10
    | hskp5
    | hskp4 ),
    inference(csr,[status(thm)],[44311,34515]) ).

cnf(44313,negated_conjecture,
    ( hskp10
    | hskp5 ),
    inference(csr,[status(thm)],[44312,29668]) ).

cnf(44334,negated_conjecture,
    ( hskp9
    | ~ hskp17
    | ~ hskp6
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[39773,109]) ).

cnf(44335,negated_conjecture,
    ( hskp9
    | hskp28
    | hskp8
    | ~ hskp17
    | ~ hskp6 ),
    inference(spm,[status(thm)],[44334,2624,theory(equality)]) ).

cnf(44349,negated_conjecture,
    ( hskp13
    | hskp28
    | hskp8
    | ~ hskp27
    | ~ hskp17
    | ~ hskp6 ),
    inference(spm,[status(thm)],[36637,44335,theory(equality)]) ).

cnf(44359,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | c3_1(a1977)
    | c3_1(X1)
    | ~ hskp5
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3001,114]) ).

cnf(44360,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp5
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[44359,113]) ).

cnf(44364,negated_conjecture,
    ( hskp15
    | c0_1(a1985)
    | ~ hskp9
    | ~ hskp5
    | ~ c2_1(a1985) ),
    inference(spm,[status(thm)],[97,44360,theory(equality)]) ).

cnf(44365,negated_conjecture,
    ( hskp15
    | c0_1(a1989)
    | ~ hskp11
    | ~ hskp5
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[89,44360,theory(equality)]) ).

cnf(44367,negated_conjecture,
    ( hskp15
    | c0_1(a2000)
    | ~ hskp18
    | ~ hskp5
    | ~ c2_1(a2000) ),
    inference(spm,[status(thm)],[61,44360,theory(equality)]) ).

cnf(45056,negated_conjecture,
    ( hskp9
    | ~ hskp24
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[39782,37]) ).

cnf(45057,negated_conjecture,
    ( hskp9
    | hskp28
    | hskp8
    | ~ hskp24
    | ~ hskp17 ),
    inference(spm,[status(thm)],[45056,2624,theory(equality)]) ).

cnf(45059,negated_conjecture,
    ( hskp9
    | hskp11
    | ~ hskp24
    | ~ hskp17 ),
    inference(spm,[status(thm)],[45056,4838,theory(equality)]) ).

cnf(45111,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp8
    | ~ hskp17
    | ~ hskp27
    | ~ hskp13 ),
    inference(spm,[status(thm)],[45057,37035,theory(equality)]) ).

cnf(45286,negated_conjecture,
    ( hskp9
    | ~ hskp25
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[39783,34]) ).

cnf(45287,negated_conjecture,
    ( hskp9
    | hskp28
    | hskp8
    | ~ hskp25
    | ~ hskp17 ),
    inference(spm,[status(thm)],[45286,2624,theory(equality)]) ).

cnf(45289,negated_conjecture,
    ( hskp9
    | hskp11
    | ~ hskp25
    | ~ hskp17 ),
    inference(spm,[status(thm)],[45286,4838,theory(equality)]) ).

cnf(45294,negated_conjecture,
    ( hskp11
    | hskp9
    | hskp24
    | ~ hskp17
    | ~ hskp13 ),
    inference(spm,[status(thm)],[45289,1699,theory(equality)]) ).

cnf(45370,negated_conjecture,
    ( hskp11
    | hskp9
    | hskp24
    | ~ hskp17
    | ~ hskp20 ),
    inference(spm,[status(thm)],[45289,30196,theory(equality)]) ).

cnf(45477,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp8
    | hskp24
    | ~ hskp17
    | ~ hskp13 ),
    inference(spm,[status(thm)],[45287,1699,theory(equality)]) ).

cnf(45690,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp17
    | ~ hskp13 ),
    inference(csr,[status(thm)],[45294,45059]) ).

cnf(45739,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp20
    | ~ hskp17 ),
    inference(csr,[status(thm)],[45370,45059]) ).

cnf(45745,negated_conjecture,
    ( hskp11
    | hskp9
    | hskp13
    | ~ hskp17 ),
    inference(spm,[status(thm)],[45739,4842,theory(equality)]) ).

cnf(45771,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[45745,45690]) ).

cnf(45773,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp8
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[29515,45771,theory(equality)]) ).

cnf(45774,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[32096,45771,theory(equality)]) ).

cnf(45778,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[45774,4927,theory(equality)]) ).

cnf(45796,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp8 ),
    inference(csr,[status(thm)],[45778,32160]) ).

cnf(45875,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp8
    | ~ hskp17 ),
    inference(csr,[status(thm)],[45773,29613]) ).

cnf(46486,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(a2014)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[3025,42]) ).

cnf(46487,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[46486,41]) ).

cnf(46488,negated_conjecture,
    ( hskp12
    | c2_1(a1969)
    | c1_1(a1969)
    | ~ hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[133,46487,theory(equality)]) ).

cnf(47023,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp17
    | hskp16
    | ~ hskp28 ),
    inference(csr,[status(thm)],[42681,14878]) ).

cnf(47024,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp16
    | ~ hskp28 ),
    inference(csr,[status(thm)],[47023,2389]) ).

cnf(47025,negated_conjecture,
    ( hskp24
    | hskp16
    | ~ hskp28 ),
    inference(csr,[status(thm)],[47024,16752]) ).

cnf(47155,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp30
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[42757,37381]) ).

cnf(48366,negated_conjecture,
    ( hskp21
    | c2_1(a1977)
    | ~ hskp12
    | ~ hskp5 ),
    inference(csr,[status(thm)],[43219,115]) ).

cnf(48367,negated_conjecture,
    ( hskp21
    | ~ hskp12
    | ~ hskp5 ),
    inference(csr,[status(thm)],[48366,114]) ).

cnf(48374,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp8
    | ~ hskp12
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[48367,41104,theory(equality)]) ).

cnf(48382,negated_conjecture,
    ( hskp21
    | ~ hskp12
    | ~ hskp17
    | ~ hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[48367,44115,theory(equality)]) ).

cnf(48587,negated_conjecture,
    ( hskp6
    | ~ hskp8
    | ~ hskp17
    | ~ hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[8175,48382,theory(equality)]) ).

cnf(48683,negated_conjecture,
    ( hskp6
    | ~ hskp17
    | ~ hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[48587,45796]) ).

cnf(48684,negated_conjecture,
    ( hskp6
    | ~ hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[48683,4927]) ).

cnf(48959,negated_conjecture,
    ( hskp21
    | c2_1(a1981)
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[43220,106]) ).

cnf(48964,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp21
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2089,48959,theory(equality)]) ).

cnf(49040,negated_conjecture,
    ( hskp21
    | hskp4
    | hskp1
    | ~ hskp12
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[48964,41538,theory(equality)]) ).

cnf(49095,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(a1996)
    | c2_1(X1)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[3071,71]) ).

cnf(49096,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[49095,69]) ).

cnf(49100,negated_conjecture,
    ( c0_1(a1985)
    | hskp1
    | c2_1(a1985)
    | ~ hskp9
    | ~ hskp16 ),
    inference(spm,[status(thm)],[97,49096,theory(equality)]) ).

cnf(49107,negated_conjecture,
    ( c0_1(a2041)
    | hskp1
    | c2_1(a2041)
    | ~ hskp25
    | ~ hskp16 ),
    inference(spm,[status(thm)],[33,49096,theory(equality)]) ).

cnf(49223,negated_conjecture,
    ( hskp21
    | c2_1(a1985)
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[43221,99]) ).

cnf(49229,negated_conjecture,
    ( hskp3
    | hskp21
    | ~ hskp17
    | ~ hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[22779,49223,theory(equality)]) ).

cnf(49231,negated_conjecture,
    ( hskp13
    | hskp21
    | ~ hskp17
    | ~ hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[29514,49223,theory(equality)]) ).

cnf(49238,negated_conjecture,
    ( hskp21
    | hskp3
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[49229,32096]) ).

cnf(49253,negated_conjecture,
    ( hskp21
    | hskp3
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[49238,45771,theory(equality)]) ).

cnf(49267,negated_conjecture,
    ( hskp6
    | hskp11
    | hskp3
    | ~ hskp17 ),
    inference(spm,[status(thm)],[9091,49253,theory(equality)]) ).

cnf(49273,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[49267,22976]) ).

cnf(49274,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[49273,4927,theory(equality)]) ).

cnf(49282,negated_conjecture,
    ( hskp6
    | ~ hskp8 ),
    inference(csr,[status(thm)],[49274,48684]) ).

cnf(49329,negated_conjecture,
    ( hskp21
    | hskp13
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[49231,32096]) ).

cnf(49344,negated_conjecture,
    ( hskp21
    | hskp13
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[49329,45771,theory(equality)]) ).

cnf(49365,negated_conjecture,
    ( hskp21
    | hskp13
    | ~ hskp17 ),
    inference(csr,[status(thm)],[49344,29613]) ).

cnf(49375,negated_conjecture,
    ( hskp5
    | hskp21
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[43834,49365,theory(equality)]) ).

cnf(49382,negated_conjecture,
    ( hskp5
    | ~ hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[49375,44309]) ).

cnf(49580,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(a1972)
    | c2_1(X1)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[3076,23]) ).

cnf(49581,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[49580,36033]) ).

cnf(49592,negated_conjecture,
    ( c0_1(a2041)
    | hskp1
    | c2_1(a2041)
    | ~ hskp25
    | ~ hskp28 ),
    inference(spm,[status(thm)],[33,49581,theory(equality)]) ).

cnf(49770,negated_conjecture,
    ( hskp21
    | ~ hskp25
    | ~ hskp12
    | ~ c1_1(a2041) ),
    inference(csr,[status(thm)],[43228,34]) ).

cnf(49809,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[43895,45774]) ).

cnf(49810,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[49809,45774]) ).

cnf(49811,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[49810,32158]) ).

cnf(49992,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp8
    | ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[44349,37381]) ).

cnf(49993,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp8
    | ~ hskp27 ),
    inference(csr,[status(thm)],[49992,40827]) ).

cnf(50028,negated_conjecture,
    ( hskp15
    | ~ hskp9
    | ~ hskp5
    | ~ c2_1(a1985) ),
    inference(csr,[status(thm)],[44364,98]) ).

cnf(50029,negated_conjecture,
    ( hskp15
    | hskp28
    | hskp8
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[50028,2547,theory(equality)]) ).

cnf(50031,negated_conjecture,
    ( hskp15
    | ~ hskp9
    | ~ hskp5
    | ~ hskp27 ),
    inference(spm,[status(thm)],[50028,36582,theory(equality)]) ).

cnf(50035,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp27
    | ~ hskp5
    | ~ hskp6 ),
    inference(spm,[status(thm)],[50031,4580,theory(equality)]) ).

cnf(50119,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[3089,69]) ).

cnf(50231,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp27
    | ~ hskp5 ),
    inference(csr,[status(thm)],[50035,37381]) ).

cnf(50240,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[50231,43842,theory(equality)]) ).

cnf(50241,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[50231,43840,theory(equality)]) ).

cnf(50690,negated_conjecture,
    ( hskp15
    | c0_1(a1989)
    | ~ hskp11
    | ~ hskp5 ),
    inference(csr,[status(thm)],[44365,91]) ).

cnf(50691,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ hskp5 ),
    inference(csr,[status(thm)],[50690,90]) ).

cnf(50698,negated_conjecture,
    ( hskp15
    | hskp17
    | hskp8
    | ~ hskp11
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[50691,41104,theory(equality)]) ).

cnf(50700,negated_conjecture,
    ( hskp15
    | hskp17
    | ~ hskp11
    | ~ hskp27 ),
    inference(spm,[status(thm)],[50691,43842,theory(equality)]) ).

cnf(50706,negated_conjecture,
    ( hskp15
    | hskp10
    | ~ hskp11 ),
    inference(spm,[status(thm)],[50691,44313,theory(equality)]) ).

cnf(50711,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ hskp17
    | ~ hskp8 ),
    inference(spm,[status(thm)],[50691,49382,theory(equality)]) ).

cnf(50712,negated_conjecture,
    ( hskp15
    | hskp10 ),
    inference(csr,[status(thm)],[50706,17014]) ).

cnf(50715,negated_conjecture,
    ( hskp17
    | hskp15
    | ~ hskp27 ),
    inference(csr,[status(thm)],[50700,50240]) ).

cnf(50749,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[50711,50715,theory(equality)]) ).

cnf(50765,negated_conjecture,
    ( hskp15
    | ~ hskp27
    | ~ hskp8 ),
    inference(csr,[status(thm)],[50749,50241]) ).

cnf(51212,negated_conjecture,
    ( hskp15
    | ~ hskp18
    | ~ hskp5
    | ~ c2_1(a2000) ),
    inference(csr,[status(thm)],[44367,63]) ).

cnf(51911,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp8
    | ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[45111,49993]) ).

cnf(51912,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp8
    | ~ hskp27 ),
    inference(csr,[status(thm)],[51911,40827]) ).

cnf(51918,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp30
    | ~ hskp27 ),
    inference(spm,[status(thm)],[47155,51912,theory(equality)]) ).

cnf(51922,negated_conjecture,
    ( hskp2
    | c0_1(a1993)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[3124,73]) ).

cnf(51923,negated_conjecture,
    ( hskp2
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[51922,74]) ).

cnf(51924,negated_conjecture,
    ( hskp2
    | c2_1(a1969)
    | c1_1(a1969)
    | ~ hskp0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[133,51923,theory(equality)]) ).

cnf(51933,negated_conjecture,
    ( hskp2
    | c2_1(a2012)
    | c1_1(a2012)
    | ~ hskp22
    | ~ hskp15 ),
    inference(spm,[status(thm)],[45,51923,theory(equality)]) ).

cnf(51960,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1401,51923,theory(equality)]) ).

cnf(52057,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp15
    | ~ hskp27 ),
    inference(spm,[status(thm)],[51918,37145,theory(equality)]) ).

cnf(52062,negated_conjecture,
    ( hskp28
    | hskp15
    | ~ hskp27 ),
    inference(csr,[status(thm)],[52057,50765]) ).

cnf(52478,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp9
    | hskp8
    | ~ hskp17 ),
    inference(csr,[status(thm)],[45477,45875]) ).

cnf(52479,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp8
    | ~ hskp17 ),
    inference(csr,[status(thm)],[52478,45057]) ).

cnf(52487,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp8
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[50029,52479,theory(equality)]) ).

cnf(52515,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp8
    | hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[52487,13508,theory(equality)]) ).

cnf(52544,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp8
    | ~ hskp17 ),
    inference(csr,[status(thm)],[52515,52062]) ).

cnf(52818,negated_conjecture,
    ( c0_1(X1)
    | c2_1(a1975)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3137,118]) ).

cnf(52819,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[52818,117]) ).

cnf(52821,negated_conjecture,
    ( c2_1(a1979)
    | c1_1(a1979)
    | hskp0
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[110,52819,theory(equality)]) ).

cnf(52822,negated_conjecture,
    ( c2_1(a1983)
    | c1_1(a1983)
    | hskp0
    | ~ hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[102,52819,theory(equality)]) ).

cnf(52830,negated_conjecture,
    ( c2_1(a2031)
    | c1_1(a2031)
    | hskp0
    | ~ hskp24
    | ~ hskp4 ),
    inference(spm,[status(thm)],[39,52819,theory(equality)]) ).

cnf(53539,negated_conjecture,
    ( hskp12
    | c2_1(a1969)
    | ~ hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[46488,135]) ).

cnf(53540,negated_conjecture,
    ( hskp12
    | ~ hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[53539,134]) ).

cnf(53541,negated_conjecture,
    ( hskp12
    | ~ hskp23
    | ~ hskp13 ),
    inference(spm,[status(thm)],[53540,2201,theory(equality)]) ).

cnf(53544,negated_conjecture,
    ( hskp12
    | ~ hskp23
    | ~ hskp17 ),
    inference(spm,[status(thm)],[53540,30276,theory(equality)]) ).

cnf(53550,negated_conjecture,
    ( hskp12
    | hskp8
    | hskp5
    | ~ hskp13 ),
    inference(spm,[status(thm)],[53541,11,theory(equality)]) ).

cnf(53553,negated_conjecture,
    ( hskp12
    | hskp8
    | hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[53544,11,theory(equality)]) ).

cnf(53556,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp13 ),
    inference(csr,[status(thm)],[53550,43834]) ).

cnf(53557,negated_conjecture,
    ( hskp12
    | hskp5
    | hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[53556,7130,theory(equality)]) ).

cnf(53577,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp17 ),
    inference(csr,[status(thm)],[53553,49382]) ).

cnf(53580,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[50691,53577,theory(equality)]) ).

cnf(53583,negated_conjecture,
    ( hskp12
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[53557,53577]) ).

cnf(53616,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp17 ),
    inference(csr,[status(thm)],[53580,45774]) ).

cnf(53999,negated_conjecture,
    ( c0_1(X3)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X3) ),
    inference(csr,[status(thm)],[3175,35872]) ).

cnf(54006,negated_conjecture,
    ( c0_1(a2000)
    | c2_1(a2000)
    | c1_1(a2000)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[61,53999,theory(equality)]) ).

cnf(54146,negated_conjecture,
    ( c0_1(a2000)
    | c2_1(a2000)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[54006,62]) ).

cnf(54147,negated_conjecture,
    ( c2_1(a2000)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[54146,63]) ).

cnf(54150,negated_conjecture,
    ( hskp23
    | hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[2865,54147,theory(equality)]) ).

cnf(54151,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp18 ),
    inference(spm,[status(thm)],[3039,54147,theory(equality)]) ).

cnf(54156,negated_conjecture,
    ( ~ hskp23
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[9083,54147,theory(equality)]) ).

cnf(54161,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp18 ),
    inference(spm,[status(thm)],[27994,54147,theory(equality)]) ).

cnf(54168,negated_conjecture,
    ( hskp15
    | ~ hskp18
    | ~ hskp5 ),
    inference(spm,[status(thm)],[51212,54147,theory(equality)]) ).

cnf(54212,negated_conjecture,
    ( hskp27
    | hskp4
    | hskp6 ),
    inference(spm,[status(thm)],[54151,37600,theory(equality)]) ).

cnf(54213,negated_conjecture,
    ( hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[54212,37381]) ).

cnf(54215,negated_conjecture,
    ( hskp8
    | hskp4 ),
    inference(spm,[status(thm)],[41251,54213,theory(equality)]) ).

cnf(54245,negated_conjecture,
    ( hskp14
    | hskp25
    | hskp8
    | ~ hskp18
    | ~ hskp2 ),
    inference(spm,[status(thm)],[54161,16571,theory(equality)]) ).

cnf(54270,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ hskp17 ),
    inference(spm,[status(thm)],[54156,54150,theory(equality)]) ).

cnf(54306,negated_conjecture,
    ( hskp6
    | hskp21
    | hskp16
    | ~ hskp17 ),
    inference(spm,[status(thm)],[54270,8,theory(equality)]) ).

cnf(54693,negated_conjecture,
    ( hskp16
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[54306,9091]) ).

cnf(55104,negated_conjecture,
    ( hskp27
    | c0_1(a2000)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[3190,62]) ).

cnf(55105,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[55104,63]) ).

cnf(55106,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[55105,35872]) ).

cnf(55110,negated_conjecture,
    ( c0_1(a1985)
    | c2_1(a1985)
    | ~ hskp9
    | ~ hskp18 ),
    inference(spm,[status(thm)],[97,55106,theory(equality)]) ).

cnf(55117,negated_conjecture,
    ( c0_1(a2041)
    | c2_1(a2041)
    | ~ hskp25
    | ~ hskp18 ),
    inference(spm,[status(thm)],[33,55106,theory(equality)]) ).

cnf(55134,negated_conjecture,
    ( hskp11
    | hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1385,55106,theory(equality)]) ).

cnf(55606,negated_conjecture,
    ( c2_1(a1985)
    | ~ hskp18
    | ~ hskp9 ),
    inference(csr,[status(thm)],[55110,98]) ).

cnf(55698,negated_conjecture,
    ( hskp27
    | c0_1(a2041)
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[3197,34]) ).

cnf(55699,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[55698,35]) ).

cnf(55700,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[55699,37034]) ).

cnf(55705,negated_conjecture,
    ( c0_1(a1989)
    | c1_1(a1989)
    | ~ hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[89,55700,theory(equality)]) ).

cnf(55709,negated_conjecture,
    ( c0_1(a2009)
    | c1_1(a2009)
    | ~ hskp21
    | ~ hskp25 ),
    inference(spm,[status(thm)],[49,55700,theory(equality)]) ).

cnf(55711,negated_conjecture,
    ( c0_1(a2041)
    | c1_1(a2041)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[33,55700,theory(equality)]) ).

cnf(55712,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1407,55700,theory(equality)]) ).

cnf(55731,negated_conjecture,
    ( hskp29
    | hskp6
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1389,55700,theory(equality)]) ).

cnf(55815,negated_conjecture,
    ( c1_1(a2041)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[55711,35]) ).

cnf(55816,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2688,55815,theory(equality)]) ).

cnf(55823,negated_conjecture,
    ( hskp12
    | ~ hskp25
    | ~ hskp17 ),
    inference(spm,[status(thm)],[32595,55815,theory(equality)]) ).

cnf(55827,negated_conjecture,
    ( hskp7
    | c2_1(a2041)
    | ~ hskp17
    | ~ c2_1(a1998)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[38356,55815,theory(equality)]) ).

cnf(55830,negated_conjecture,
    ( hskp7
    | ~ hskp25
    | ~ hskp3 ),
    inference(spm,[status(thm)],[42133,55815,theory(equality)]) ).

cnf(55836,negated_conjecture,
    ( hskp21
    | ~ hskp25
    | ~ hskp12 ),
    inference(spm,[status(thm)],[49770,55815,theory(equality)]) ).

cnf(55840,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp30
    | hskp15
    | ~ hskp16 ),
    inference(spm,[status(thm)],[55816,2643,theory(equality)]) ).

cnf(55843,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp18
    | hskp6
    | ~ hskp16 ),
    inference(spm,[status(thm)],[55816,3815,theory(equality)]) ).

cnf(55867,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp18
    | hskp6
    | ~ hskp2 ),
    inference(spm,[status(thm)],[55816,16574,theory(equality)]) ).

cnf(55883,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[55816,27721,theory(equality)]) ).

cnf(55887,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp14
    | ~ hskp11
    | ~ hskp2 ),
    inference(spm,[status(thm)],[55816,27897,theory(equality)]) ).

cnf(55919,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp30
    | hskp5
    | ~ hskp16
    | ~ hskp6 ),
    inference(spm,[status(thm)],[55816,41011,theory(equality)]) ).

cnf(55974,negated_conjecture,
    ( hskp12
    | hskp20
    | hskp19
    | ~ hskp17
    | ~ hskp28 ),
    inference(spm,[status(thm)],[55823,19031,theory(equality)]) ).

cnf(56050,negated_conjecture,
    ( hskp10
    | ~ hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[20095,55830,theory(equality)]) ).

cnf(56072,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp6
    | ~ hskp12
    | ~ hskp28 ),
    inference(spm,[status(thm)],[55836,3810,theory(equality)]) ).

cnf(56245,negated_conjecture,
    ( hskp10
    | hskp14
    | ~ hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[56050,35531,theory(equality)]) ).

cnf(56272,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp11
    | ~ hskp2
    | ~ hskp6 ),
    inference(spm,[status(thm)],[55883,4580,theory(equality)]) ).

cnf(56467,negated_conjecture,
    ( hskp10
    | ~ hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[56245,41550]) ).

cnf(56630,negated_conjecture,
    ( c0_1(a2041)
    | ~ hskp25
    | ~ hskp18 ),
    inference(csr,[status(thm)],[55117,34]) ).

cnf(56631,negated_conjecture,
    ( ~ hskp25
    | ~ hskp18 ),
    inference(csr,[status(thm)],[56630,35]) ).

cnf(56634,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp18
    | ~ hskp16 ),
    inference(spm,[status(thm)],[56631,2643,theory(equality)]) ).

cnf(56668,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp11
    | ~ hskp18
    | ~ hskp28 ),
    inference(spm,[status(thm)],[56631,19057,theory(equality)]) ).

cnf(56709,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5
    | ~ hskp18
    | ~ hskp28
    | ~ hskp6 ),
    inference(spm,[status(thm)],[56631,40999,theory(equality)]) ).

cnf(56727,negated_conjecture,
    ( hskp14
    | hskp8
    | ~ hskp18
    | ~ hskp2 ),
    inference(spm,[status(thm)],[56631,54245,theory(equality)]) ).

cnf(56749,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp18 ),
    inference(csr,[status(thm)],[56634,34518]) ).

cnf(56754,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp17
    | hskp6
    | ~ hskp10 ),
    inference(spm,[status(thm)],[56749,4971,theory(equality)]) ).

cnf(56877,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp18
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2555,56727,theory(equality)]) ).

cnf(57456,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp15
    | hskp8 ),
    inference(csr,[status(thm)],[55840,34518]) ).

cnf(57458,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp28
    | hskp15
    | ~ hskp6 ),
    inference(spm,[status(thm)],[41077,57456,theory(equality)]) ).

cnf(57464,negated_conjecture,
    ( hskp28
    | hskp18
    | hskp6
    | ~ hskp16 ),
    inference(csr,[status(thm)],[55843,49282]) ).

cnf(57472,negated_conjecture,
    ( hskp6
    | hskp28
    | ~ hskp17
    | ~ hskp16 ),
    inference(spm,[status(thm)],[54270,57464,theory(equality)]) ).

cnf(57482,negated_conjecture,
    ( hskp28
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[57472,54693]) ).

cnf(57548,negated_conjecture,
    ( c1_1(a1989)
    | ~ hskp25
    | ~ hskp11 ),
    inference(csr,[status(thm)],[55705,90]) ).

cnf(57934,negated_conjecture,
    ( c0_1(a2009)
    | ~ hskp25
    | ~ hskp21 ),
    inference(csr,[status(thm)],[55709,50]) ).

cnf(57947,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp21
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2087,57934,theory(equality)]) ).

cnf(58024,negated_conjecture,
    ( hskp5
    | ~ hskp21
    | ~ hskp8
    | ~ hskp25 ),
    inference(spm,[status(thm)],[44244,57934,theory(equality)]) ).

cnf(58030,negated_conjecture,
    ( hskp17
    | hskp4
    | hskp27
    | hskp24
    | ~ hskp21 ),
    inference(spm,[status(thm)],[57947,3747,theory(equality)]) ).

cnf(58315,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[55867,56877]) ).

cnf(58316,negated_conjecture,
    ( hskp28
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[58315,49282]) ).

cnf(58318,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[55887,2555]) ).

cnf(58517,negated_conjecture,
    ( hskp20
    | hskp19
    | hskp12
    | ~ hskp28 ),
    inference(csr,[status(thm)],[55974,14878]) ).

cnf(59211,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp28
    | ~ hskp12 ),
    inference(csr,[status(thm)],[56072,12719]) ).

cnf(59219,negated_conjecture,
    ( hskp6
    | ~ hskp17
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[54270,59211,theory(equality)]) ).

cnf(59227,negated_conjecture,
    ( hskp6
    | ~ hskp28
    | ~ hskp17 ),
    inference(csr,[status(thm)],[59219,49811]) ).

cnf(59228,negated_conjecture,
    ( hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[59227,57482]) ).

cnf(60154,negated_conjecture,
    ( hskp28
    | hskp11
    | hskp8
    | ~ hskp2 ),
    inference(csr,[status(thm)],[56272,58316]) ).

cnf(60155,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp2 ),
    inference(csr,[status(thm)],[60154,58318]) ).

cnf(60398,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp11
    | ~ hskp28
    | ~ hskp18 ),
    inference(spm,[status(thm)],[33457,56668,theory(equality)]) ).

cnf(60855,negated_conjecture,
    ( hskp30
    | hskp17
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[56754,50712]) ).

cnf(60856,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[60855,59228]) ).

cnf(60953,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[57458,52544]) ).

cnf(61833,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[58030,3405]) ).

cnf(61834,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[61833,7131]) ).

cnf(62062,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[60398,3484]) ).

cnf(62063,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[62062,45774]) ).

cnf(62064,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp21
    | hskp1 ),
    inference(spm,[status(thm)],[62063,12,theory(equality)]) ).

cnf(62073,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp15
    | hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[62063,60953,theory(equality)]) ).

cnf(62701,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp8
    | ~ hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[48374,54215]) ).

cnf(62834,negated_conjecture,
    ( hskp11
    | hskp9
    | c2_1(a1992)
    | ~ hskp14
    | ~ hskp18 ),
    inference(spm,[status(thm)],[78,55134,theory(equality)]) ).

cnf(63447,negated_conjecture,
    ( hskp29
    | hskp6
    | c1_1(a1993)
    | ~ hskp15
    | ~ hskp25 ),
    inference(spm,[status(thm)],[74,55731,theory(equality)]) ).

cnf(63448,negated_conjecture,
    ( hskp29
    | hskp6
    | c1_1(a1998)
    | ~ hskp17
    | ~ hskp25 ),
    inference(spm,[status(thm)],[65,55731,theory(equality)]) ).

cnf(63451,negated_conjecture,
    ( hskp29
    | hskp6
    | c1_1(a2031)
    | ~ hskp24
    | ~ hskp25 ),
    inference(spm,[status(thm)],[39,55731,theory(equality)]) ).

cnf(64049,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp18
    | ~ hskp14 ),
    inference(csr,[status(thm)],[62834,77]) ).

cnf(64056,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[64049,37557,theory(equality)]) ).

cnf(64082,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp27 ),
    inference(csr,[status(thm)],[64056,38469]) ).

cnf(64089,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp27
    | ~ hskp5 ),
    inference(spm,[status(thm)],[50031,64082,theory(equality)]) ).

cnf(64106,negated_conjecture,
    ( hskp15
    | ~ hskp27
    | ~ hskp5 ),
    inference(csr,[status(thm)],[64089,50691]) ).

cnf(64931,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp8
    | ~ hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[50698,54215]) ).

cnf(64940,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp8
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[53616,64931,theory(equality)]) ).

cnf(64948,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[64940,62073]) ).

cnf(65216,negated_conjecture,
    ( hskp29
    | hskp6
    | ~ hskp25
    | ~ hskp15 ),
    inference(csr,[status(thm)],[63447,73]) ).

cnf(65217,negated_conjecture,
    ( hskp17
    | hskp6
    | ~ hskp25
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1524,65216,theory(equality)]) ).

cnf(65222,negated_conjecture,
    ( hskp6
    | ~ hskp25
    | ~ hskp15 ),
    inference(csr,[status(thm)],[65217,59228]) ).

cnf(65223,negated_conjecture,
    ( hskp6
    | hskp24
    | ~ hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[65222,1699,theory(equality)]) ).

cnf(65565,negated_conjecture,
    ( hskp29
    | hskp6
    | c1_1(a1998)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[63448,67]) ).

cnf(65566,negated_conjecture,
    ( hskp29
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[65565,59228]) ).

cnf(65567,negated_conjecture,
    ( hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[65566,23613]) ).

cnf(65606,negated_conjecture,
    ( hskp29
    | hskp6
    | ~ hskp25
    | ~ hskp24 ),
    inference(csr,[status(thm)],[63451,38]) ).

cnf(65607,negated_conjecture,
    ( hskp17
    | hskp6
    | ~ hskp25
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1524,65606,theory(equality)]) ).

cnf(65612,negated_conjecture,
    ( hskp6
    | ~ hskp25
    | ~ hskp24 ),
    inference(csr,[status(thm)],[65607,59228]) ).

cnf(65639,negated_conjecture,
    ( hskp6
    | hskp18
    | hskp8
    | ~ hskp24
    | ~ hskp2 ),
    inference(spm,[status(thm)],[65612,16574,theory(equality)]) ).

cnf(66036,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp24
    | ~ hskp2 ),
    inference(csr,[status(thm)],[65639,49282]) ).

cnf(66052,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp16
    | ~ hskp2
    | ~ hskp28 ),
    inference(spm,[status(thm)],[66036,47025,theory(equality)]) ).

cnf(66484,negated_conjecture,
    ( hskp18
    | hskp16
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[66052,58316]) ).

cnf(66779,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a2014)
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3624,42]) ).

cnf(66780,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[66779,41]) ).

cnf(66784,negated_conjecture,
    ( c0_1(a1985)
    | ~ hskp9
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[97,66780,theory(equality)]) ).

cnf(66785,negated_conjecture,
    ( c0_1(a1989)
    | ~ hskp11
    | ~ hskp29
    | ~ hskp23
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[89,66780,theory(equality)]) ).

cnf(66918,negated_conjecture,
    ( hskp10
    | c1_1(a1993)
    | ~ hskp15
    | ~ hskp25
    | ~ c2_1(a1993) ),
    inference(spm,[status(thm)],[74,55712,theory(equality)]) ).

cnf(67831,negated_conjecture,
    ( hskp1
    | c2_1(a1985)
    | ~ hskp16
    | ~ hskp9 ),
    inference(csr,[status(thm)],[49100,98]) ).

cnf(67844,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp9
    | ~ hskp5
    | ~ hskp16 ),
    inference(spm,[status(thm)],[50028,67831,theory(equality)]) ).

cnf(67933,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[67844,34518]) ).

cnf(67934,negated_conjecture,
    ( hskp15
    | hskp1
    | hskp11
    | ~ hskp5
    | ~ hskp6 ),
    inference(spm,[status(thm)],[67933,4580,theory(equality)]) ).

cnf(67986,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[67934,50691]) ).

cnf(67987,negated_conjecture,
    ( hskp15
    | hskp1
    | hskp8
    | ~ hskp6
    | ~ hskp21 ),
    inference(spm,[status(thm)],[67986,7661,theory(equality)]) ).

cnf(68234,negated_conjecture,
    ( hskp15
    | hskp8
    | ~ hskp21
    | ~ hskp6 ),
    inference(csr,[status(thm)],[67987,40760]) ).

cnf(68253,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp17
    | ~ hskp6
    | ~ hskp12 ),
    inference(spm,[status(thm)],[68234,62701,theory(equality)]) ).

cnf(68664,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[68253,64948]) ).

cnf(68918,negated_conjecture,
    ( c0_1(a2041)
    | hskp1
    | ~ hskp25
    | ~ hskp16 ),
    inference(csr,[status(thm)],[49107,34]) ).

cnf(68919,negated_conjecture,
    ( hskp1
    | ~ hskp25
    | ~ hskp16 ),
    inference(csr,[status(thm)],[68918,35]) ).

cnf(68925,negated_conjecture,
    ( hskp1
    | hskp18
    | hskp6
    | ~ hskp16 ),
    inference(spm,[status(thm)],[68919,3815,theory(equality)]) ).

cnf(69030,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | ~ hskp5
    | ~ hskp16 ),
    inference(spm,[status(thm)],[54168,68925,theory(equality)]) ).

cnf(69271,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[69030,34518]) ).

cnf(69272,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[69271,67986]) ).

cnf(69806,negated_conjecture,
    ( c0_1(a2041)
    | hskp1
    | ~ hskp28
    | ~ hskp25 ),
    inference(csr,[status(thm)],[49592,34]) ).

cnf(69807,negated_conjecture,
    ( hskp1
    | ~ hskp28
    | ~ hskp25 ),
    inference(csr,[status(thm)],[69806,35]) ).

cnf(69847,negated_conjecture,
    ( hskp1
    | hskp14
    | ~ hskp28
    | ~ hskp11 ),
    inference(spm,[status(thm)],[69807,27872,theory(equality)]) ).

cnf(69862,negated_conjecture,
    ( hskp1
    | hskp17
    | hskp14
    | hskp4
    | ~ hskp28 ),
    inference(spm,[status(thm)],[69807,29219,theory(equality)]) ).

cnf(70005,negated_conjecture,
    ( hskp14
    | hskp4
    | hskp1
    | ~ hskp28 ),
    inference(csr,[status(thm)],[69862,29788]) ).

cnf(70015,negated_conjecture,
    ( hskp21
    | hskp4
    | hskp1
    | ~ hskp12
    | ~ hskp3
    | ~ hskp28 ),
    inference(spm,[status(thm)],[49040,70005,theory(equality)]) ).

cnf(70832,negated_conjecture,
    ( hskp2
    | c2_1(a1969)
    | ~ hskp15
    | ~ hskp0 ),
    inference(csr,[status(thm)],[51924,135]) ).

cnf(70833,negated_conjecture,
    ( hskp2
    | ~ hskp15
    | ~ hskp0 ),
    inference(csr,[status(thm)],[70832,134]) ).

cnf(70838,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[37270,70833,theory(equality)]) ).

cnf(70841,negated_conjecture,
    ( hskp28
    | hskp6
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[58316,70833,theory(equality)]) ).

cnf(70842,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[60155,70833,theory(equality)]) ).

cnf(70844,negated_conjecture,
    ( hskp18
    | hskp16
    | hskp6
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[66484,70833,theory(equality)]) ).

cnf(70870,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp0 ),
    inference(csr,[status(thm)],[70838,50715]) ).

cnf(71207,negated_conjecture,
    ( hskp18
    | hskp16
    | hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[70844,34518]) ).

cnf(72138,negated_conjecture,
    ( hskp2
    | c2_1(a2012)
    | c1_1(a2012)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[51933,51960]) ).

cnf(72147,negated_conjecture,
    ( hskp10
    | hskp2
    | c2_1(a2012)
    | ~ hskp22
    | ~ hskp15 ),
    inference(spm,[status(thm)],[30726,72138,theory(equality)]) ).

cnf(72176,negated_conjecture,
    ( hskp10
    | hskp2
    | c2_1(a2012)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[72147,50712]) ).

cnf(72177,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp22 ),
    inference(csr,[status(thm)],[72176,46]) ).

cnf(72189,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp8 ),
    inference(spm,[status(thm)],[72177,6782,theory(equality)]) ).

cnf(72238,negated_conjecture,
    ( hskp10
    | hskp2 ),
    inference(csr,[status(thm)],[72189,40764]) ).

cnf(72245,negated_conjecture,
    ( hskp10
    | ~ hskp3 ),
    inference(spm,[status(thm)],[56467,72238,theory(equality)]) ).

cnf(72866,negated_conjecture,
    ( c1_1(a1979)
    | hskp0
    | ~ hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[52821,109]) ).

cnf(72867,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp0
    | ~ hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[2501,72866,theory(equality)]) ).

cnf(72885,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp6
    | ~ hskp3
    | ~ hskp4 ),
    inference(spm,[status(thm)],[41281,72866,theory(equality)]) ).

cnf(72907,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[72867,54215]) ).

cnf(72914,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp15
    | ~ hskp6 ),
    inference(spm,[status(thm)],[70842,72907,theory(equality)]) ).

cnf(72917,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[72914,60953]) ).

cnf(73188,negated_conjecture,
    ( c2_1(a1983)
    | hskp0
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[52822,101]) ).

cnf(73462,negated_conjecture,
    ( c2_1(a2031)
    | hskp0
    | ~ hskp24
    | ~ hskp4 ),
    inference(csr,[status(thm)],[52830,38]) ).

cnf(73463,negated_conjecture,
    ( hskp0
    | ~ hskp24
    | ~ hskp4 ),
    inference(csr,[status(thm)],[73462,37]) ).

cnf(73464,negated_conjecture,
    ( hskp0
    | hskp16
    | ~ hskp4
    | ~ hskp23 ),
    inference(spm,[status(thm)],[73463,2384,theory(equality)]) ).

cnf(73466,negated_conjecture,
    ( hskp0
    | hskp30
    | hskp16
    | hskp5
    | ~ hskp4
    | ~ hskp22 ),
    inference(spm,[status(thm)],[73463,5878,theory(equality)]) ).

cnf(73469,negated_conjecture,
    ( hskp0
    | ~ hskp4
    | ~ hskp27
    | ~ hskp13 ),
    inference(spm,[status(thm)],[73463,37035,theory(equality)]) ).

cnf(73475,negated_conjecture,
    ( hskp0
    | hskp14
    | ~ hskp4
    | ~ hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[73463,37683,theory(equality)]) ).

cnf(73477,negated_conjecture,
    ( hskp0
    | hskp16
    | ~ hskp4
    | ~ hskp27
    | ~ hskp14 ),
    inference(spm,[status(thm)],[73463,41913,theory(equality)]) ).

cnf(73512,negated_conjecture,
    ( hskp0
    | hskp6
    | ~ hskp4
    | ~ hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[73463,65223,theory(equality)]) ).

cnf(73525,negated_conjecture,
    ( hskp16
    | hskp0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[73464,34520]) ).

cnf(73531,negated_conjecture,
    ( hskp28
    | hskp6
    | hskp16
    | ~ hskp15
    | ~ hskp23 ),
    inference(spm,[status(thm)],[70841,73525,theory(equality)]) ).

cnf(73532,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp16
    | ~ hskp15
    | ~ hskp23 ),
    inference(spm,[status(thm)],[70842,73525,theory(equality)]) ).

cnf(73534,negated_conjecture,
    ( hskp18
    | hskp16
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[71207,73525,theory(equality)]) ).

cnf(73550,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp13
    | ~ hskp4 ),
    inference(spm,[status(thm)],[70870,73469,theory(equality)]) ).

cnf(73602,negated_conjecture,
    ( hskp18
    | hskp16
    | hskp6
    | ~ hskp21 ),
    inference(spm,[status(thm)],[73534,2870,theory(equality)]) ).

cnf(73645,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp13 ),
    inference(csr,[status(thm)],[73550,7131]) ).

cnf(73646,negated_conjecture,
    ( hskp17
    | ~ hskp27 ),
    inference(csr,[status(thm)],[73645,7130]) ).

cnf(73675,negated_conjecture,
    ( hskp18
    | hskp16
    | hskp6 ),
    inference(csr,[status(thm)],[73602,8]) ).

cnf(73841,negated_conjecture,
    ( hskp14
    | hskp0
    | ~ hskp27
    | ~ hskp21 ),
    inference(csr,[status(thm)],[73475,38308]) ).

cnf(73913,negated_conjecture,
    ( hskp16
    | hskp0
    | ~ hskp27
    | ~ hskp14 ),
    inference(csr,[status(thm)],[73477,34520]) ).

cnf(73958,negated_conjecture,
    ( hskp16
    | hskp0
    | ~ hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[73913,73841,theory(equality)]) ).

cnf(73992,negated_conjecture,
    ( hskp16
    | hskp0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[73958,37390]) ).

cnf(74428,negated_conjecture,
    ( hskp6
    | hskp0
    | ~ hskp15
    | ~ hskp13 ),
    inference(csr,[status(thm)],[73512,54213]) ).

cnf(74429,negated_conjecture,
    ( hskp30
    | hskp5
    | hskp6
    | ~ hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[40571,74428,theory(equality)]) ).

cnf(74438,negated_conjecture,
    ( c2_1(a1973)
    | c1_1(X1)
    | ~ hskp4
    | ~ hskp2
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4251,127]) ).

cnf(74439,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp4
    | ~ hskp2
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[74438,125]) ).

cnf(74443,negated_conjecture,
    ( c1_1(a1987)
    | ~ hskp4
    | ~ hskp2
    | ~ c2_1(a1987)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[74439,94,theory(equality)]) ).

cnf(74601,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp6
    | ~ hskp23 ),
    inference(csr,[status(thm)],[73531,34518]) ).

cnf(74605,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp6
    | ~ hskp18 ),
    inference(spm,[status(thm)],[74601,54150,theory(equality)]) ).

cnf(74615,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp6 ),
    inference(csr,[status(thm)],[74605,73675]) ).

cnf(74759,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp8
    | ~ hskp23 ),
    inference(csr,[status(thm)],[73532,34518]) ).

cnf(74762,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp8
    | hskp6
    | ~ hskp21 ),
    inference(spm,[status(thm)],[74759,2870,theory(equality)]) ).

cnf(75588,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp5
    | ~ hskp13 ),
    inference(csr,[status(thm)],[74429,60856]) ).

cnf(75590,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp5
    | ~ hskp27
    | ~ hskp18 ),
    inference(spm,[status(thm)],[75588,36805,theory(equality)]) ).

cnf(75753,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[74762,74615]) ).

cnf(75754,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp8 ),
    inference(csr,[status(thm)],[75753,72917]) ).

cnf(75995,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[75590,37381]) ).

cnf(75996,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp5 ),
    inference(csr,[status(thm)],[75995,10]) ).

cnf(76193,negated_conjecture,
    ( hskp7
    | ~ hskp25
    | ~ hskp17
    | ~ c2_1(a1998) ),
    inference(csr,[status(thm)],[55827,34]) ).

cnf(76194,negated_conjecture,
    ( hskp7
    | hskp20
    | ~ hskp25
    | ~ hskp17
    | ~ hskp28 ),
    inference(spm,[status(thm)],[76193,15763,theory(equality)]) ).

cnf(76197,negated_conjecture,
    ( hskp20
    | hskp7
    | ~ hskp28
    | ~ hskp25 ),
    inference(csr,[status(thm)],[76194,14878]) ).

cnf(76377,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp8
    | hskp5
    | ~ hskp16 ),
    inference(csr,[status(thm)],[55919,75996]) ).

cnf(76378,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp8
    | hskp5 ),
    inference(csr,[status(thm)],[76377,75754]) ).

cnf(78027,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5
    | ~ hskp28
    | ~ hskp18 ),
    inference(csr,[status(thm)],[56709,75996]) ).

cnf(78028,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5
    | ~ hskp18 ),
    inference(csr,[status(thm)],[78027,76378]) ).

cnf(78032,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5
    | hskp4
    | ~ hskp17 ),
    inference(spm,[status(thm)],[78028,4024,theory(equality)]) ).

cnf(78044,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5
    | hskp4 ),
    inference(csr,[status(thm)],[78032,54215]) ).

cnf(78045,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp5 ),
    inference(csr,[status(thm)],[78044,5514]) ).

cnf(78047,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp5
    | ~ hskp6 ),
    inference(spm,[status(thm)],[41077,78045,theory(equality)]) ).

cnf(78050,negated_conjecture,
    ( c1_1(a2012)
    | c1_1(X1)
    | ~ hskp22
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[4426,69]) ).

cnf(82268,negated_conjecture,
    ( c2_1(a1975)
    | c1_1(X1)
    | ~ hskp4
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4700,118]) ).

cnf(82269,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp4
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[82268,117]) ).

cnf(82623,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(X1)
    | ~ hskp16
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4703,69]) ).

cnf(84124,negated_conjecture,
    ( c0_1(a1985)
    | ~ hskp29
    | ~ hskp23
    | ~ hskp9 ),
    inference(csr,[status(thm)],[66784,99]) ).

cnf(84125,negated_conjecture,
    ( ~ hskp29
    | ~ hskp23
    | ~ hskp9 ),
    inference(csr,[status(thm)],[84124,98]) ).

cnf(84139,negated_conjecture,
    ( ~ hskp23
    | ~ hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[84125,65567,theory(equality)]) ).

cnf(84145,negated_conjecture,
    ( hskp11
    | ~ hskp23
    | ~ hskp17 ),
    inference(spm,[status(thm)],[84139,45771,theory(equality)]) ).

cnf(84154,negated_conjecture,
    ( hskp11
    | hskp8
    | hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[84145,11,theory(equality)]) ).

cnf(84163,negated_conjecture,
    ( hskp11
    | hskp5
    | ~ hskp17 ),
    inference(csr,[status(thm)],[84154,49382]) ).

cnf(84164,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[48367,84163,theory(equality)]) ).

cnf(84182,negated_conjecture,
    ( hskp21
    | hskp11
    | ~ hskp17 ),
    inference(csr,[status(thm)],[84164,45774]) ).

cnf(84189,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp11
    | ~ hskp6
    | ~ hskp17 ),
    inference(spm,[status(thm)],[68234,84182,theory(equality)]) ).

cnf(84371,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[84189,68664]) ).

cnf(84397,negated_conjecture,
    ( ~ hskp29
    | ~ hskp23
    | ~ hskp11
    | ~ c1_1(a1989) ),
    inference(csr,[status(thm)],[66785,90]) ).

cnf(84404,negated_conjecture,
    ( ~ hskp29
    | ~ hskp23
    | ~ hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[84397,8977,theory(equality)]) ).

cnf(84444,negated_conjecture,
    ( ~ hskp29
    | ~ hskp23
    | ~ hskp11 ),
    inference(csr,[status(thm)],[84404,1524]) ).

cnf(84458,negated_conjecture,
    ( ~ hskp23
    | ~ hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[84444,65567,theory(equality)]) ).

cnf(84486,negated_conjecture,
    ( ~ hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[84458,84145]) ).

cnf(84487,negated_conjecture,
    ( hskp8
    | hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[84486,11,theory(equality)]) ).

cnf(84498,negated_conjecture,
    ( hskp5
    | ~ hskp17 ),
    inference(csr,[status(thm)],[84487,49382]) ).

cnf(84500,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[50691,84498,theory(equality)]) ).

cnf(84501,negated_conjecture,
    ( hskp15
    | ~ hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[64106,84498,theory(equality)]) ).

cnf(84519,negated_conjecture,
    ( hskp15
    | hskp8
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[84500,68664,theory(equality)]) ).

cnf(84522,negated_conjecture,
    ( hskp15
    | ~ hskp27 ),
    inference(csr,[status(thm)],[84501,73646]) ).

cnf(84691,negated_conjecture,
    ( hskp15
    | hskp8
    | ~ hskp6 ),
    inference(csr,[status(thm)],[84519,84371]) ).

cnf(86089,negated_conjecture,
    ( hskp10
    | c1_1(a1993)
    | ~ hskp25
    | ~ hskp15 ),
    inference(csr,[status(thm)],[66918,75]) ).

cnf(86090,negated_conjecture,
    ( hskp10
    | c1_1(a1993)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[86089,50712]) ).

cnf(86091,negated_conjecture,
    ( hskp10
    | ~ hskp15
    | ~ hskp25 ),
    inference(spm,[status(thm)],[73,86090,theory(equality)]) ).

cnf(86121,negated_conjecture,
    ( hskp10
    | ~ hskp25 ),
    inference(csr,[status(thm)],[86091,50712]) ).

cnf(86137,negated_conjecture,
    ( hskp10
    | hskp17
    | hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[86121,6981,theory(equality)]) ).

cnf(86232,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp3 ),
    inference(csr,[status(thm)],[86137,72238]) ).

cnf(86233,negated_conjecture,
    ( hskp17
    | hskp10 ),
    inference(csr,[status(thm)],[86232,72245]) ).

cnf(88852,negated_conjecture,
    ( hskp21
    | hskp4
    | hskp1
    | ~ hskp12
    | ~ hskp3 ),
    inference(csr,[status(thm)],[70015,12]) ).

cnf(88855,negated_conjecture,
    ( hskp17
    | hskp4
    | hskp1
    | ~ hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[61834,88852,theory(equality)]) ).

cnf(88856,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp12
    | ~ hskp3 ),
    inference(csr,[status(thm)],[88855,29788]) ).

cnf(89145,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp5
    | hskp0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[73466,5514]) ).

cnf(89146,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp5
    | hskp0 ),
    inference(csr,[status(thm)],[89145,34520]) ).

cnf(89147,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp5 ),
    inference(csr,[status(thm)],[89146,40571]) ).

cnf(91019,negated_conjecture,
    ( c1_1(a1987)
    | ~ hskp10
    | ~ hskp4
    | ~ hskp2 ),
    inference(csr,[status(thm)],[74443,95]) ).

cnf(91020,negated_conjecture,
    ( ~ hskp10
    | ~ hskp4
    | ~ hskp2 ),
    inference(csr,[status(thm)],[91019,93]) ).

cnf(91022,negated_conjecture,
    ( ~ hskp10
    | ~ hskp4
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[91020,70833,theory(equality)]) ).

cnf(91026,negated_conjecture,
    ( hskp12
    | ~ hskp15
    | ~ hskp10
    | ~ hskp4
    | ~ hskp17 ),
    inference(spm,[status(thm)],[91022,30276,theory(equality)]) ).

cnf(91039,negated_conjecture,
    ( hskp16
    | ~ hskp15
    | ~ hskp10
    | ~ hskp4
    | ~ hskp27 ),
    inference(spm,[status(thm)],[91022,73992,theory(equality)]) ).

cnf(91077,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp10
    | ~ hskp4 ),
    inference(csr,[status(thm)],[91026,53616]) ).

cnf(91135,negated_conjecture,
    ( hskp16
    | ~ hskp27
    | ~ hskp15
    | ~ hskp10 ),
    inference(csr,[status(thm)],[91039,34520]) ).

cnf(91136,negated_conjecture,
    ( hskp16
    | ~ hskp27
    | ~ hskp15 ),
    inference(csr,[status(thm)],[91135,36484]) ).

cnf(91137,negated_conjecture,
    ( hskp16
    | ~ hskp27 ),
    inference(csr,[status(thm)],[91136,34518]) ).

cnf(91571,negated_conjecture,
    ( c2_1(a1975)
    | c1_1(a2005)
    | c1_1(X1)
    | ~ hskp30
    | ~ hskp4
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[5174,118]) ).

cnf(91572,negated_conjecture,
    ( c1_1(a2005)
    | c1_1(X1)
    | ~ hskp30
    | ~ hskp4
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[91571,117]) ).

cnf(91584,negated_conjecture,
    ( c1_1(a2005)
    | ~ hskp30
    | ~ hskp4
    | ~ c2_1(a2005) ),
    inference(spm,[status(thm)],[91572,13,theory(equality)]) ).

cnf(91713,negated_conjecture,
    ( c1_1(a2005)
    | ~ hskp30
    | ~ hskp4 ),
    inference(csr,[status(thm)],[91584,14]) ).

cnf(91714,negated_conjecture,
    ( hskp17
    | ~ hskp30
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1548,91713,theory(equality)]) ).

cnf(91748,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[91714,10,theory(equality)]) ).

cnf(91749,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp12
    | hskp11
    | ~ hskp4
    | ~ hskp16 ),
    inference(spm,[status(thm)],[91714,3374,theory(equality)]) ).

cnf(91751,negated_conjecture,
    ( hskp17
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[91714,5514,theory(equality)]) ).

cnf(91772,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[91714,89147,theory(equality)]) ).

cnf(91774,negated_conjecture,
    ( hskp5
    | ~ hskp4 ),
    inference(csr,[status(thm)],[91751,84498]) ).

cnf(91776,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[50691,91774,theory(equality)]) ).

cnf(91779,negated_conjecture,
    ( hskp15
    | hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[69272,91774,theory(equality)]) ).

cnf(91852,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp6 ),
    inference(csr,[status(thm)],[91748,54213]) ).

cnf(91853,negated_conjecture,
    ( hskp17
    | hskp6 ),
    inference(csr,[status(thm)],[91852,73646]) ).

cnf(91854,negated_conjecture,
    hskp6,
    inference(csr,[status(thm)],[91853,59228]) ).

cnf(91882,negated_conjecture,
    ( hskp15
    | hskp8
    | $false ),
    inference(rw,[status(thm)],[84691,91854,theory(equality)]) ).

cnf(91883,negated_conjecture,
    ( hskp15
    | hskp8 ),
    inference(cn,[status(thm)],[91882,theory(equality)]) ).

cnf(91895,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp5
    | $false ),
    inference(rw,[status(thm)],[78047,91854,theory(equality)]) ).

cnf(91896,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp5 ),
    inference(cn,[status(thm)],[91895,theory(equality)]) ).

cnf(91906,negated_conjecture,
    ( hskp7
    | hskp0
    | $false
    | ~ hskp4
    | ~ hskp3 ),
    inference(rw,[status(thm)],[72885,91854,theory(equality)]) ).

cnf(91907,negated_conjecture,
    ( hskp7
    | hskp0
    | ~ hskp4
    | ~ hskp3 ),
    inference(cn,[status(thm)],[91906,theory(equality)]) ).

cnf(91918,negated_conjecture,
    ( c1_1(a1979)
    | hskp0
    | $false
    | ~ hskp4 ),
    inference(rw,[status(thm)],[72866,91854,theory(equality)]) ).

cnf(91919,negated_conjecture,
    ( c1_1(a1979)
    | hskp0
    | ~ hskp4 ),
    inference(cn,[status(thm)],[91918,theory(equality)]) ).

cnf(92006,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | $false
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[29538,91854,theory(equality)]) ).

cnf(92007,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[92006,theory(equality)]) ).

cnf(92014,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c2_1(X1)
    | $false
    | ~ c3_1(X1)
    | ~ c1_1(a1979) ),
    inference(rw,[status(thm)],[22732,91854,theory(equality)]) ).

cnf(92015,negated_conjecture,
    ( hskp29
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a1979) ),
    inference(cn,[status(thm)],[92014,theory(equality)]) ).

cnf(92031,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(a1979)
    | $false
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(rw,[status(thm)],[9513,91854,theory(equality)]) ).

cnf(92032,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(a1979)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[92031,theory(equality)]) ).

cnf(92062,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | $false
    | ~ c3_1(X1)
    | ~ c1_1(a1979)
    | ~ c1_1(X2) ),
    inference(rw,[status(thm)],[5418,91854,theory(equality)]) ).

cnf(92063,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a1979)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[92062,theory(equality)]) ).

cnf(92068,negated_conjecture,
    ( hskp11
    | hskp9
    | $false ),
    inference(rw,[status(thm)],[4580,91854,theory(equality)]) ).

cnf(92069,negated_conjecture,
    ( hskp11
    | hskp9 ),
    inference(cn,[status(thm)],[92068,theory(equality)]) ).

cnf(92071,negated_conjecture,
    ( hskp18
    | hskp4
    | $false
    | ~ c1_1(a1979) ),
    inference(rw,[status(thm)],[3900,91854,theory(equality)]) ).

cnf(92072,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ c1_1(a1979) ),
    inference(cn,[status(thm)],[92071,theory(equality)]) ).

cnf(92091,negated_conjecture,
    ( $false
    | ~ c0_1(a1979) ),
    inference(rw,[status(thm)],[110,91854,theory(equality)]) ).

cnf(92092,negated_conjecture,
    ~ c0_1(a1979),
    inference(cn,[status(thm)],[92091,theory(equality)]) ).

cnf(92093,negated_conjecture,
    ( $false
    | ~ c2_1(a1979) ),
    inference(rw,[status(thm)],[109,91854,theory(equality)]) ).

cnf(92094,negated_conjecture,
    ~ c2_1(a1979),
    inference(cn,[status(thm)],[92093,theory(equality)]) ).

cnf(92095,negated_conjecture,
    ( c3_1(a1979)
    | $false ),
    inference(rw,[status(thm)],[111,91854,theory(equality)]) ).

cnf(92096,negated_conjecture,
    c3_1(a1979),
    inference(cn,[status(thm)],[92095,theory(equality)]) ).

cnf(92185,negated_conjecture,
    ( c0_1(a1979)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a1979)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[5236,92096,theory(equality)]) ).

cnf(92195,negated_conjecture,
    ( c0_1(a1979)
    | c3_1(X1)
    | c2_1(a1979)
    | c2_1(X1)
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[9667,92096,theory(equality)]) ).

cnf(92208,negated_conjecture,
    ( hskp20
    | c2_1(a1979)
    | ~ hskp27
    | ~ c0_1(a1970)
    | ~ c1_1(a1979) ),
    inference(spm,[status(thm)],[14750,92096,theory(equality)]) ).

cnf(92230,negated_conjecture,
    ( hskp9
    | c0_1(a1979)
    | c2_1(a1979)
    | ~ hskp8
    | ~ c2_1(a1983) ),
    inference(spm,[status(thm)],[33772,92096,theory(equality)]) ).

cnf(92305,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a1979)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[92185,92092,theory(equality)]) ).

cnf(92306,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[92305,92094,theory(equality)]) ).

cnf(92320,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a1979)
    | c2_1(X1)
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[92195,92092,theory(equality)]) ).

cnf(92321,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[92320,92094,theory(equality)]) ).

cnf(92331,negated_conjecture,
    ( hskp20
    | ~ hskp27
    | ~ c0_1(a1970)
    | ~ c1_1(a1979) ),
    inference(sr,[status(thm)],[92208,92094,theory(equality)]) ).

cnf(92355,negated_conjecture,
    ( hskp9
    | c2_1(a1979)
    | ~ hskp8
    | ~ c2_1(a1983) ),
    inference(sr,[status(thm)],[92230,92092,theory(equality)]) ).

cnf(92356,negated_conjecture,
    ( hskp9
    | ~ hskp8
    | ~ c2_1(a1983) ),
    inference(sr,[status(thm)],[92355,92094,theory(equality)]) ).

cnf(92392,negated_conjecture,
    ( hskp8
    | hskp5 ),
    inference(csr,[status(thm)],[91896,84498]) ).

cnf(92696,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp19
    | ~ hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[33262,91907,theory(equality)]) ).

cnf(92881,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp5 ),
    inference(csr,[status(thm)],[91772,34520]) ).

cnf(92882,negated_conjecture,
    ( hskp16
    | hskp5 ),
    inference(csr,[status(thm)],[92881,84498]) ).

cnf(93600,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[92356,73188,theory(equality)]) ).

cnf(94505,negated_conjecture,
    ( hskp29
    | c0_1(a1979)
    | c2_1(a1979)
    | ~ c1_1(a1979) ),
    inference(spm,[status(thm)],[92015,92096,theory(equality)]) ).

cnf(94625,negated_conjecture,
    ( hskp29
    | c2_1(a1979)
    | ~ c1_1(a1979) ),
    inference(sr,[status(thm)],[94505,92092,theory(equality)]) ).

cnf(94626,negated_conjecture,
    ( hskp29
    | ~ c1_1(a1979) ),
    inference(sr,[status(thm)],[94625,92094,theory(equality)]) ).

cnf(94729,negated_conjecture,
    ( hskp29
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[94626,91919,theory(equality)]) ).

cnf(94732,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1524,94729,theory(equality)]) ).

cnf(94754,negated_conjecture,
    ( hskp17
    | ~ hskp15
    | ~ hskp10
    | ~ hskp4 ),
    inference(spm,[status(thm)],[91022,94732,theory(equality)]) ).

cnf(94843,negated_conjecture,
    ( c0_1(a1979)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(a1979)
    | c1_1(a1979)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[92032,92096,theory(equality)]) ).

cnf(94963,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(a1979)
    | c1_1(a1979)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[94843,92092,theory(equality)]) ).

cnf(94964,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(a1979)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[94963,92094,theory(equality)]) ).

cnf(95101,negated_conjecture,
    ( c0_1(X1)
    | c0_1(a1979)
    | c3_1(X1)
    | c2_1(a1979)
    | ~ c1_1(a1979)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[92063,92096,theory(equality)]) ).

cnf(95221,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a1979)
    | ~ c1_1(a1979)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[95101,92092,theory(equality)]) ).

cnf(95222,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(a1979)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[95221,92094,theory(equality)]) ).

cnf(95406,negated_conjecture,
    ( hskp17
    | ~ hskp15
    | ~ hskp4 ),
    inference(csr,[status(thm)],[94754,86233]) ).

cnf(95418,negated_conjecture,
    ( hskp12
    | ~ hskp10
    | ~ hskp4
    | ~ hskp15 ),
    inference(spm,[status(thm)],[91077,95406,theory(equality)]) ).

cnf(95443,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(a2005)
    | c1_1(X1)
    | ~ hskp30
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[5177,69]) ).

cnf(95961,negated_conjecture,
    ( c0_1(a1985)
    | ~ hskp9
    | ~ hskp2
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[97,92306,theory(equality)]) ).

cnf(95962,negated_conjecture,
    ( c0_1(a1989)
    | ~ hskp11
    | ~ hskp2
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[89,92306,theory(equality)]) ).

cnf(95965,negated_conjecture,
    ( c0_1(a2003)
    | ~ hskp20
    | ~ hskp2
    | ~ c1_1(a2003) ),
    inference(spm,[status(thm)],[53,92306,theory(equality)]) ).

cnf(95976,negated_conjecture,
    ( hskp17
    | hskp13
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1365,92306,theory(equality)]) ).

cnf(96093,negated_conjecture,
    ( c2_1(a1977)
    | ~ hskp5
    | ~ hskp12
    | ~ c1_1(a1977) ),
    inference(spm,[status(thm)],[113,92321,theory(equality)]) ).

cnf(96094,negated_conjecture,
    ( c2_1(a1981)
    | ~ hskp7
    | ~ hskp12
    | ~ c1_1(a1981) ),
    inference(spm,[status(thm)],[105,92321,theory(equality)]) ).

cnf(96095,negated_conjecture,
    ( c2_1(a1985)
    | ~ hskp9
    | ~ hskp12
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[97,92321,theory(equality)]) ).

cnf(96101,negated_conjecture,
    ( c2_1(a2012)
    | ~ hskp22
    | ~ hskp12
    | ~ c1_1(a2012) ),
    inference(spm,[status(thm)],[45,92321,theory(equality)]) ).

cnf(96102,negated_conjecture,
    ( c2_1(a2041)
    | ~ hskp25
    | ~ hskp12
    | ~ c1_1(a2041) ),
    inference(spm,[status(thm)],[33,92321,theory(equality)]) ).

cnf(96270,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp19
    | ~ hskp4 ),
    inference(csr,[status(thm)],[92696,94732]) ).

cnf(96271,negated_conjecture,
    ( hskp17
    | hskp0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[96270,16074]) ).

cnf(96468,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp27
    | ~ c1_1(a1979) ),
    inference(spm,[status(thm)],[92331,2931,theory(equality)]) ).

cnf(96470,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp27
    | ~ c1_1(a1979)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[92331,19093,theory(equality)]) ).

cnf(97683,negated_conjecture,
    ( c0_1(a1985)
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[95961,99]) ).

cnf(97684,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[97683,98]) ).

cnf(97686,negated_conjecture,
    ( hskp11
    | ~ hskp2 ),
    inference(spm,[status(thm)],[97684,92069,theory(equality)]) ).

cnf(97760,negated_conjecture,
    ( c0_1(a1989)
    | ~ hskp2
    | ~ c1_1(a1989) ),
    inference(csr,[status(thm)],[95962,97686]) ).

cnf(97761,negated_conjecture,
    ( ~ hskp11
    | ~ hskp2
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[90,97760,theory(equality)]) ).

cnf(97826,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a1989) ),
    inference(csr,[status(thm)],[97761,97686]) ).

cnf(97827,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp2
    | ~ hskp11 ),
    inference(spm,[status(thm)],[97826,2986,theory(equality)]) ).

cnf(97828,negated_conjecture,
    ( hskp17
    | hskp3
    | ~ hskp2
    | ~ hskp11 ),
    inference(spm,[status(thm)],[97826,3158,theory(equality)]) ).

cnf(97829,negated_conjecture,
    ( hskp28
    | ~ hskp2
    | ~ hskp27
    | ~ hskp11 ),
    inference(spm,[status(thm)],[97826,24539,theory(equality)]) ).

cnf(97831,negated_conjecture,
    ( ~ hskp2
    | ~ hskp25
    | ~ hskp11 ),
    inference(spm,[status(thm)],[97826,57548,theory(equality)]) ).

cnf(97833,negated_conjecture,
    ( ~ hskp25
    | ~ hskp2 ),
    inference(csr,[status(thm)],[97831,97686]) ).

cnf(97849,negated_conjecture,
    ( hskp17
    | hskp14
    | ~ hskp2
    | ~ hskp11 ),
    inference(spm,[status(thm)],[97833,27912,theory(equality)]) ).

cnf(97893,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp2 ),
    inference(csr,[status(thm)],[97827,97686]) ).

cnf(97898,negated_conjecture,
    ( hskp17
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[97828,97686]) ).

cnf(97939,negated_conjecture,
    ( hskp28
    | ~ hskp27
    | ~ hskp2 ),
    inference(csr,[status(thm)],[97829,97686]) ).

cnf(97941,negated_conjecture,
    ( hskp28
    | ~ hskp27
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[97939,70833,theory(equality)]) ).

cnf(97965,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a1983)
    | ~ hskp16
    | ~ hskp8
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[5608,102]) ).

cnf(98101,negated_conjecture,
    ( hskp17
    | hskp14
    | ~ hskp2 ),
    inference(csr,[status(thm)],[97849,97686]) ).

cnf(98306,negated_conjecture,
    ( hskp28
    | ~ hskp27
    | ~ hskp0 ),
    inference(csr,[status(thm)],[97941,84522]) ).

cnf(98679,negated_conjecture,
    ( c0_1(a2003)
    | ~ hskp20
    | ~ hskp2 ),
    inference(csr,[status(thm)],[95965,55]) ).

cnf(98691,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp20
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2086,98679,theory(equality)]) ).

cnf(98737,negated_conjecture,
    ( hskp5
    | ~ hskp20
    | ~ hskp8
    | ~ hskp2 ),
    inference(spm,[status(thm)],[43908,98679,theory(equality)]) ).

cnf(98818,negated_conjecture,
    ( hskp5
    | ~ hskp20
    | ~ hskp2 ),
    inference(csr,[status(thm)],[98737,92392]) ).

cnf(98826,negated_conjecture,
    ( hskp5
    | ~ hskp2
    | ~ hskp28 ),
    inference(spm,[status(thm)],[98818,15085,theory(equality)]) ).

cnf(98854,negated_conjecture,
    ( hskp5
    | ~ hskp28
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[98826,70833,theory(equality)]) ).

cnf(98945,negated_conjecture,
    ( hskp5
    | hskp17
    | ~ hskp28
    | ~ hskp15
    | ~ hskp19 ),
    inference(spm,[status(thm)],[98854,96271,theory(equality)]) ).

cnf(99018,negated_conjecture,
    ( c2_1(a1977)
    | ~ hskp12
    | ~ hskp5 ),
    inference(csr,[status(thm)],[96093,115]) ).

cnf(99019,negated_conjecture,
    ( ~ hskp12
    | ~ hskp5 ),
    inference(csr,[status(thm)],[99018,114]) ).

cnf(99024,negated_conjecture,
    ( ~ hskp12
    | ~ hskp17 ),
    inference(spm,[status(thm)],[99019,84498,theory(equality)]) ).

cnf(99025,negated_conjecture,
    ( ~ hskp12
    | ~ hskp4 ),
    inference(spm,[status(thm)],[99019,91774,theory(equality)]) ).

cnf(99027,negated_conjecture,
    ( hskp16
    | ~ hskp12 ),
    inference(spm,[status(thm)],[99019,92882,theory(equality)]) ).

cnf(99057,negated_conjecture,
    ( ~ hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[99024,73646,theory(equality)]) ).

cnf(99073,negated_conjecture,
    ( ~ hskp4
    | ~ hskp15
    | ~ hskp10 ),
    inference(spm,[status(thm)],[99025,95418,theory(equality)]) ).

cnf(99099,negated_conjecture,
    ( hskp16
    | ~ hskp10
    | ~ hskp4 ),
    inference(spm,[status(thm)],[99073,34518,theory(equality)]) ).

cnf(99102,negated_conjecture,
    ( hskp1
    | ~ hskp10
    | ~ hskp4 ),
    inference(spm,[status(thm)],[99073,91779,theory(equality)]) ).

cnf(99103,negated_conjecture,
    ( hskp8
    | ~ hskp10
    | ~ hskp4 ),
    inference(spm,[status(thm)],[99073,91883,theory(equality)]) ).

cnf(99109,negated_conjecture,
    ( hskp16
    | ~ hskp10 ),
    inference(csr,[status(thm)],[99099,34520]) ).

cnf(99118,negated_conjecture,
    ( hskp1
    | ~ hskp4 ),
    inference(csr,[status(thm)],[99102,29654]) ).

cnf(99120,negated_conjecture,
    ( hskp8
    | ~ hskp10 ),
    inference(csr,[status(thm)],[99103,54215]) ).

cnf(99121,negated_conjecture,
    hskp8,
    inference(csr,[status(thm)],[99120,40764]) ).

cnf(99124,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a1983)
    | ~ hskp16
    | $false
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[97965,99121,theory(equality)]) ).

cnf(99125,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a1983)
    | ~ hskp16
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[99124,theory(equality)]) ).

cnf(99135,negated_conjecture,
    ( hskp9
    | hskp0
    | $false
    | ~ hskp4 ),
    inference(rw,[status(thm)],[93600,99121,theory(equality)]) ).

cnf(99136,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp4 ),
    inference(cn,[status(thm)],[99135,theory(equality)]) ).

cnf(99199,negated_conjecture,
    ( hskp5
    | ~ hskp25
    | ~ hskp21
    | $false ),
    inference(rw,[status(thm)],[58024,99121,theory(equality)]) ).

cnf(99200,negated_conjecture,
    ( hskp5
    | ~ hskp25
    | ~ hskp21 ),
    inference(cn,[status(thm)],[99199,theory(equality)]) ).

cnf(99220,negated_conjecture,
    ( hskp14
    | hskp5
    | ~ hskp26
    | ~ hskp20
    | $false ),
    inference(rw,[status(thm)],[43919,99121,theory(equality)]) ).

cnf(99221,negated_conjecture,
    ( hskp14
    | hskp5
    | ~ hskp26
    | ~ hskp20 ),
    inference(cn,[status(thm)],[99220,theory(equality)]) ).

cnf(99224,negated_conjecture,
    ( hskp5
    | ~ hskp13
    | $false ),
    inference(rw,[status(thm)],[43834,99121,theory(equality)]) ).

cnf(99225,negated_conjecture,
    ( hskp5
    | ~ hskp13 ),
    inference(cn,[status(thm)],[99224,theory(equality)]) ).

cnf(99226,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | ~ hskp14
    | $false
    | ~ hskp3 ),
    inference(rw,[status(thm)],[43592,99121,theory(equality)]) ).

cnf(99227,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | ~ hskp14
    | ~ hskp3 ),
    inference(cn,[status(thm)],[99226,theory(equality)]) ).

cnf(99230,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | $false
    | ~ hskp7 ),
    inference(rw,[status(thm)],[43562,99121,theory(equality)]) ).

cnf(99231,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | ~ hskp7 ),
    inference(cn,[status(thm)],[99230,theory(equality)]) ).

cnf(99232,negated_conjecture,
    ( hskp5
    | $false
    | ~ hskp7
    | ~ c2_1(a1981) ),
    inference(rw,[status(thm)],[43558,99121,theory(equality)]) ).

cnf(99233,negated_conjecture,
    ( hskp5
    | ~ hskp7
    | ~ c2_1(a1981) ),
    inference(cn,[status(thm)],[99232,theory(equality)]) ).

cnf(99239,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp27
    | ~ hskp16
    | $false ),
    inference(rw,[status(thm)],[38673,99121,theory(equality)]) ).

cnf(99240,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp27
    | ~ hskp16 ),
    inference(cn,[status(thm)],[99239,theory(equality)]) ).

cnf(99243,negated_conjecture,
    ( c2_1(X1)
    | $false
    | ~ c0_1(X1)
    | ~ c2_1(a1983)
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[32519,99121,theory(equality)]) ).

cnf(99244,negated_conjecture,
    ( c2_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a1983)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[99243,theory(equality)]) ).

cnf(99246,negated_conjecture,
    ( hskp25
    | hskp22
    | hskp19
    | hskp2
    | ~ hskp16
    | $false ),
    inference(rw,[status(thm)],[18819,99121,theory(equality)]) ).

cnf(99247,negated_conjecture,
    ( hskp25
    | hskp22
    | hskp19
    | hskp2
    | ~ hskp16 ),
    inference(cn,[status(thm)],[99246,theory(equality)]) ).

cnf(99261,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1983)
    | $false ),
    inference(rw,[status(thm)],[6781,99121,theory(equality)]) ).

cnf(99262,negated_conjecture,
    ( hskp22
    | hskp2
    | c2_1(a1983) ),
    inference(cn,[status(thm)],[99261,theory(equality)]) ).

cnf(99267,negated_conjecture,
    ( $false
    | ~ c0_1(a1983) ),
    inference(rw,[status(thm)],[102,99121,theory(equality)]) ).

cnf(99268,negated_conjecture,
    ~ c0_1(a1983),
    inference(cn,[status(thm)],[99267,theory(equality)]) ).

cnf(99269,negated_conjecture,
    ( $false
    | ~ c1_1(a1983) ),
    inference(rw,[status(thm)],[101,99121,theory(equality)]) ).

cnf(99270,negated_conjecture,
    ~ c1_1(a1983),
    inference(cn,[status(thm)],[99269,theory(equality)]) ).

cnf(99271,negated_conjecture,
    ( c3_1(a1983)
    | $false ),
    inference(rw,[status(thm)],[103,99121,theory(equality)]) ).

cnf(99272,negated_conjecture,
    c3_1(a1983),
    inference(cn,[status(thm)],[99271,theory(equality)]) ).

cnf(99273,negated_conjecture,
    ( hskp27
    | hskp4
    | c1_1(a1983)
    | ~ c2_1(a1983) ),
    inference(spm,[status(thm)],[99268,1395,theory(equality)]) ).

cnf(99305,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp17
    | ~ hskp4 ),
    inference(spm,[status(thm)],[32096,99136,theory(equality)]) ).

cnf(99329,negated_conjecture,
    ( hskp5
    | hskp17
    | hskp14
    | hskp4
    | ~ hskp21
    | ~ hskp28 ),
    inference(spm,[status(thm)],[99200,29219,theory(equality)]) ).

cnf(99583,negated_conjecture,
    ( c1_1(a1983)
    | ~ hskp4
    | ~ hskp1
    | ~ c2_1(a1983) ),
    inference(spm,[status(thm)],[82269,99272,theory(equality)]) ).

cnf(99686,negated_conjecture,
    ( ~ hskp4
    | ~ hskp1
    | ~ c2_1(a1983) ),
    inference(sr,[status(thm)],[99583,99270,theory(equality)]) ).

cnf(99734,negated_conjecture,
    ( hskp5
    | hskp20
    | ~ hskp19
    | ~ hskp28
    | ~ hskp14 ),
    inference(spm,[status(thm)],[99231,42936,theory(equality)]) ).

cnf(100116,negated_conjecture,
    ( hskp14
    | hskp5
    | hskp25
    | ~ hskp20
    | ~ hskp28 ),
    inference(spm,[status(thm)],[99221,1708,theory(equality)]) ).

cnf(100185,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp27 ),
    inference(csr,[status(thm)],[99240,91137]) ).

cnf(100206,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[99305,30276]) ).

cnf(100207,negated_conjecture,
    ( hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[100206,99024]) ).

cnf(100213,negated_conjecture,
    ( hskp28
    | ~ hskp27
    | ~ hskp17 ),
    inference(spm,[status(thm)],[98306,100207,theory(equality)]) ).

cnf(100256,negated_conjecture,
    ( hskp28
    | ~ hskp27 ),
    inference(csr,[status(thm)],[100213,73646]) ).

cnf(100299,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1983) ),
    inference(csr,[status(thm)],[99686,99118]) ).

cnf(100476,negated_conjecture,
    ( hskp25
    | hskp22
    | hskp2
    | ~ hskp16 ),
    inference(csr,[status(thm)],[99247,33301]) ).

cnf(100667,negated_conjecture,
    ( c2_1(a1996)
    | ~ c2_1(a1983)
    | ~ c1_1(a1996)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[99244,71,theory(equality)]) ).

cnf(100879,negated_conjecture,
    ( c2_1(a1981)
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[96094,106]) ).

cnf(100880,negated_conjecture,
    ( hskp17
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1512,100879,theory(equality)]) ).

cnf(100894,negated_conjecture,
    ( ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[100880,99024]) ).

cnf(100897,negated_conjecture,
    ( ~ hskp12
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[100894,41538,theory(equality)]) ).

cnf(100908,negated_conjecture,
    ( hskp20
    | ~ hskp12
    | ~ hskp28
    | ~ hskp25 ),
    inference(spm,[status(thm)],[100894,76197,theory(equality)]) ).

cnf(100928,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[100908,19031,theory(equality)]) ).

cnf(100972,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp12
    | ~ hskp3
    | ~ hskp28 ),
    inference(spm,[status(thm)],[100897,70005,theory(equality)]) ).

cnf(100989,negated_conjecture,
    ( hskp17
    | ~ hskp12
    | ~ hskp3
    | ~ hskp2 ),
    inference(spm,[status(thm)],[100897,98101,theory(equality)]) ).

cnf(101039,negated_conjecture,
    ( hskp20
    | hskp19
    | ~ hskp28 ),
    inference(csr,[status(thm)],[100928,58517]) ).

cnf(101199,negated_conjecture,
    ( hskp17
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[100989,97898]) ).

cnf(101200,negated_conjecture,
    ( ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[101199,99024]) ).

cnf(101379,negated_conjecture,
    ( c2_1(a1985)
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[96095,99]) ).

cnf(101386,negated_conjecture,
    ( hskp13
    | ~ hskp17
    | ~ hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[29514,101379,theory(equality)]) ).

cnf(101416,negated_conjecture,
    ( hskp13
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[101386,32096]) ).

cnf(101418,negated_conjecture,
    ( hskp13
    | hskp11
    | ~ hskp17 ),
    inference(spm,[status(thm)],[101416,92069,theory(equality)]) ).

cnf(101421,negated_conjecture,
    ( hskp13
    | ~ hskp17 ),
    inference(csr,[status(thm)],[101418,29613]) ).

cnf(101539,negated_conjecture,
    ( ~ hskp22
    | ~ hskp12
    | ~ c1_1(a2012) ),
    inference(csr,[status(thm)],[96101,46]) ).

cnf(101540,negated_conjecture,
    ( hskp30
    | hskp5
    | ~ hskp22
    | ~ hskp12 ),
    inference(spm,[status(thm)],[101539,5877,theory(equality)]) ).

cnf(101544,negated_conjecture,
    ( hskp30
    | ~ hskp22
    | ~ hskp12 ),
    inference(csr,[status(thm)],[101540,99019]) ).

cnf(101548,negated_conjecture,
    ( hskp30
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[101544,6850,theory(equality)]) ).

cnf(101580,negated_conjecture,
    ( hskp30
    | ~ hskp12 ),
    inference(csr,[status(thm)],[101548,101200]) ).

cnf(101602,negated_conjecture,
    ( c2_1(a2041)
    | ~ hskp25
    | ~ hskp12 ),
    inference(csr,[status(thm)],[96102,55815]) ).

cnf(101603,negated_conjecture,
    ( ~ hskp25
    | ~ hskp12 ),
    inference(csr,[status(thm)],[101602,34]) ).

cnf(101631,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp12
    | ~ hskp16 ),
    inference(spm,[status(thm)],[101603,100476,theory(equality)]) ).

cnf(101648,negated_conjecture,
    ( hskp22
    | hskp2
    | ~ hskp12 ),
    inference(csr,[status(thm)],[101631,99027]) ).

cnf(101649,negated_conjecture,
    ( hskp22
    | ~ hskp12 ),
    inference(csr,[status(thm)],[101648,101200]) ).

cnf(102154,negated_conjecture,
    ( hskp17
    | hskp5
    | ~ hskp28
    | ~ hskp19 ),
    inference(csr,[status(thm)],[98945,33457]) ).

cnf(102155,negated_conjecture,
    ( hskp5
    | ~ hskp28
    | ~ hskp19 ),
    inference(csr,[status(thm)],[102154,84498]) ).

cnf(102291,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ c2_1(a1983) ),
    inference(sr,[status(thm)],[99273,99270,theory(equality)]) ).

cnf(102292,negated_conjecture,
    ( hskp27
    | ~ c2_1(a1983) ),
    inference(csr,[status(thm)],[102291,100299]) ).

cnf(102293,negated_conjecture,
    ( hskp27
    | hskp22
    | hskp2 ),
    inference(spm,[status(thm)],[102292,99262,theory(equality)]) ).

cnf(102294,negated_conjecture,
    ( hskp22
    | hskp2 ),
    inference(csr,[status(thm)],[102293,100185]) ).

cnf(102304,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp28
    | ~ hskp19 ),
    inference(csr,[status(thm)],[99734,102155]) ).

cnf(102305,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp28 ),
    inference(csr,[status(thm)],[102304,101039]) ).

cnf(102384,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp5
    | ~ hskp28 ),
    inference(csr,[status(thm)],[100116,102305]) ).

cnf(102385,negated_conjecture,
    ( hskp14
    | hskp5
    | ~ hskp27
    | ~ hskp28 ),
    inference(spm,[status(thm)],[37034,102384,theory(equality)]) ).

cnf(102403,negated_conjecture,
    ( hskp14
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[102385,100256]) ).

cnf(102406,negated_conjecture,
    ( hskp5
    | ~ hskp19
    | ~ hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[99227,102403,theory(equality)]) ).

cnf(102407,negated_conjecture,
    ( hskp5
    | ~ hskp12
    | ~ hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[100897,102403,theory(equality)]) ).

cnf(102425,negated_conjecture,
    ( hskp5
    | ~ hskp27
    | ~ hskp19 ),
    inference(csr,[status(thm)],[102406,36713]) ).

cnf(102426,negated_conjecture,
    ( ~ hskp27
    | ~ hskp19 ),
    inference(csr,[status(thm)],[102425,40717]) ).

cnf(102427,negated_conjecture,
    ( hskp5
    | ~ hskp27
    | ~ hskp12 ),
    inference(csr,[status(thm)],[102407,99057]) ).

cnf(102428,negated_conjecture,
    ( hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[102427,53583]) ).

cnf(102652,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp12
    | ~ hskp3 ),
    inference(csr,[status(thm)],[100972,88856]) ).

cnf(102653,negated_conjecture,
    ( hskp1
    | ~ hskp12
    | ~ hskp3 ),
    inference(csr,[status(thm)],[102652,99118]) ).

cnf(102654,negated_conjecture,
    ( hskp1
    | hskp11
    | hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[102653,3536,theory(equality)]) ).

cnf(102657,negated_conjecture,
    ( hskp11
    | hskp1
    | ~ hskp3 ),
    inference(csr,[status(thm)],[102654,99118]) ).

cnf(103019,negated_conjecture,
    ( c2_1(a1977)
    | c1_1(a1979)
    | ~ hskp5
    | ~ c1_1(a1977) ),
    inference(spm,[status(thm)],[113,94964,theory(equality)]) ).

cnf(103020,negated_conjecture,
    ( c2_1(a1981)
    | c1_1(a1979)
    | ~ hskp7
    | ~ c1_1(a1981) ),
    inference(spm,[status(thm)],[105,94964,theory(equality)]) ).

cnf(103021,negated_conjecture,
    ( c2_1(a1985)
    | c1_1(a1979)
    | ~ hskp9
    | ~ c1_1(a1985) ),
    inference(spm,[status(thm)],[97,94964,theory(equality)]) ).

cnf(103027,negated_conjecture,
    ( c2_1(a2012)
    | c1_1(a1979)
    | ~ hskp22
    | ~ c1_1(a2012) ),
    inference(spm,[status(thm)],[45,94964,theory(equality)]) ).

cnf(103028,negated_conjecture,
    ( c2_1(a2041)
    | c1_1(a1979)
    | ~ hskp25
    | ~ c1_1(a2041) ),
    inference(spm,[status(thm)],[33,94964,theory(equality)]) ).

cnf(103149,negated_conjecture,
    ( c0_1(a1977)
    | ~ hskp5
    | ~ c1_1(a1979)
    | ~ c1_1(a1977) ),
    inference(spm,[status(thm)],[113,95222,theory(equality)]) ).

cnf(103446,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp12
    | hskp11
    | ~ hskp4 ),
    inference(csr,[status(thm)],[91749,34518]) ).

cnf(103447,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp12
    | ~ hskp4 ),
    inference(csr,[status(thm)],[103446,91776]) ).

cnf(103448,negated_conjecture,
    ( hskp17
    | hskp15
    | ~ hskp4 ),
    inference(csr,[status(thm)],[103447,99025]) ).

cnf(103449,negated_conjecture,
    ( hskp17
    | ~ hskp4 ),
    inference(csr,[status(thm)],[103448,95406]) ).

cnf(103454,negated_conjecture,
    ( hskp12
    | ~ hskp10
    | ~ hskp4 ),
    inference(spm,[status(thm)],[91077,103449,theory(equality)]) ).

cnf(103463,negated_conjecture,
    ( ~ hskp10
    | ~ hskp4 ),
    inference(csr,[status(thm)],[103454,99025]) ).

cnf(103875,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[95976,101421]) ).

cnf(103881,negated_conjecture,
    ( hskp13
    | ~ hskp14
    | ~ hskp2
    | ~ c1_1(a1992) ),
    inference(spm,[status(thm)],[78,103875,theory(equality)]) ).

cnf(104063,negated_conjecture,
    ( hskp13
    | ~ hskp14
    | ~ hskp2 ),
    inference(csr,[status(thm)],[103881,79]) ).

cnf(104090,negated_conjecture,
    ( hskp13
    | hskp17
    | ~ hskp2 ),
    inference(spm,[status(thm)],[104063,98101,theory(equality)]) ).

cnf(104107,negated_conjecture,
    ( hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[104090,101421]) ).

cnf(104447,negated_conjecture,
    ( hskp20
    | ~ hskp27
    | ~ hskp26
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[96470,102426]) ).

cnf(104658,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp5
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[99329,61834]) ).

cnf(104659,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp5
    | ~ hskp21 ),
    inference(csr,[status(thm)],[104658,103449]) ).

cnf(104660,negated_conjecture,
    ( hskp14
    | hskp5
    | ~ hskp21 ),
    inference(csr,[status(thm)],[104659,84498]) ).

cnf(104716,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1983)
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[100667,69]) ).

cnf(105306,negated_conjecture,
    ( c2_1(a1977)
    | c1_1(a1979)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[103019,115]) ).

cnf(105307,negated_conjecture,
    ( c1_1(a1979)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[105306,114]) ).

cnf(105332,negated_conjecture,
    ( hskp29
    | ~ hskp5 ),
    inference(spm,[status(thm)],[94626,105307,theory(equality)]) ).

cnf(105334,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp27
    | ~ hskp5 ),
    inference(spm,[status(thm)],[96468,105307,theory(equality)]) ).

cnf(105339,negated_conjecture,
    ( hskp20
    | ~ hskp27
    | ~ hskp26
    | ~ hskp5 ),
    inference(spm,[status(thm)],[104447,105307,theory(equality)]) ).

cnf(105369,negated_conjecture,
    ( hskp17
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1524,105332,theory(equality)]) ).

cnf(105370,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2159,105332,theory(equality)]) ).

cnf(105558,negated_conjecture,
    ( hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[105370,99118]) ).

cnf(105560,negated_conjecture,
    ( hskp1
    | ~ hskp17 ),
    inference(spm,[status(thm)],[105558,84498,theory(equality)]) ).

cnf(105610,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp27 ),
    inference(csr,[status(thm)],[105334,102428]) ).

cnf(105616,negated_conjecture,
    ( hskp5
    | hskp13
    | ~ hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[98818,105610,theory(equality)]) ).

cnf(105624,negated_conjecture,
    ( hskp20
    | ~ hskp27
    | ~ hskp26 ),
    inference(csr,[status(thm)],[105339,102428]) ).

cnf(105625,negated_conjecture,
    ( hskp20
    | hskp25
    | ~ hskp27
    | ~ hskp28 ),
    inference(spm,[status(thm)],[105624,1708,theory(equality)]) ).

cnf(105690,negated_conjecture,
    ( hskp13
    | hskp5
    | ~ hskp2 ),
    inference(csr,[status(thm)],[105616,104107]) ).

cnf(105691,negated_conjecture,
    ( hskp5
    | ~ hskp2 ),
    inference(csr,[status(thm)],[105690,99225]) ).

cnf(105716,negated_conjecture,
    ( hskp25
    | hskp20
    | ~ hskp27 ),
    inference(csr,[status(thm)],[105625,100256]) ).

cnf(105717,negated_conjecture,
    ( hskp20
    | ~ hskp27 ),
    inference(csr,[status(thm)],[105716,37034]) ).

cnf(105721,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[98691,105717,theory(equality)]) ).

cnf(105726,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp2 ),
    inference(csr,[status(thm)],[105721,97893]) ).

cnf(105727,negated_conjecture,
    ( hskp17
    | ~ hskp2 ),
    inference(csr,[status(thm)],[105726,103449]) ).

cnf(106773,negated_conjecture,
    ( c2_1(a1981)
    | c1_1(a1979)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[103020,106]) ).

cnf(106795,negated_conjecture,
    ( hskp29
    | c2_1(a1981)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[94626,106773,theory(equality)]) ).

cnf(106845,negated_conjecture,
    ( hskp17
    | hskp29
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1512,106795,theory(equality)]) ).

cnf(106858,negated_conjecture,
    ( hskp5
    | hskp29
    | ~ hskp7 ),
    inference(spm,[status(thm)],[99233,106795,theory(equality)]) ).

cnf(106866,negated_conjecture,
    ( hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[106845,1524]) ).

cnf(106867,negated_conjecture,
    ( hskp17
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[106866,41538,theory(equality)]) ).

cnf(106873,negated_conjecture,
    ( hskp29
    | ~ hskp7 ),
    inference(csr,[status(thm)],[106858,105332]) ).

cnf(106874,negated_conjecture,
    ( hskp29
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[106873,41538,theory(equality)]) ).

cnf(106909,negated_conjecture,
    ( hskp17
    | hskp5
    | ~ hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[106867,104660,theory(equality)]) ).

cnf(106936,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2159,106874,theory(equality)]) ).

cnf(107049,negated_conjecture,
    ( hskp17
    | hskp5
    | ~ hskp21 ),
    inference(csr,[status(thm)],[106909,3359]) ).

cnf(107050,negated_conjecture,
    ( hskp17
    | ~ hskp21 ),
    inference(csr,[status(thm)],[107049,105369]) ).

cnf(107051,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp11
    | hskp1 ),
    inference(spm,[status(thm)],[107050,62064,theory(equality)]) ).

cnf(107073,negated_conjecture,
    ( hskp1
    | ~ hskp14
    | ~ hskp3 ),
    inference(csr,[status(thm)],[106936,99118]) ).

cnf(107085,negated_conjecture,
    ( hskp1
    | ~ hskp3
    | ~ hskp28
    | ~ hskp11 ),
    inference(spm,[status(thm)],[107073,69847,theory(equality)]) ).

cnf(107167,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1 ),
    inference(csr,[status(thm)],[107051,105560]) ).

cnf(107235,negated_conjecture,
    ( hskp1
    | ~ hskp28
    | ~ hskp3 ),
    inference(csr,[status(thm)],[107085,102657]) ).

cnf(107236,negated_conjecture,
    ( hskp1
    | hskp21
    | ~ hskp3 ),
    inference(spm,[status(thm)],[107235,12,theory(equality)]) ).

cnf(107240,negated_conjecture,
    ( hskp17
    | hskp1
    | ~ hskp3 ),
    inference(spm,[status(thm)],[107050,107236,theory(equality)]) ).

cnf(107246,negated_conjecture,
    ( hskp1
    | ~ hskp3 ),
    inference(csr,[status(thm)],[107240,105560]) ).

cnf(109147,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp17
    | ~ hskp16
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[7090,65]) ).

cnf(109615,negated_conjecture,
    ( c2_1(a1985)
    | c1_1(a1979)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[103021,99]) ).

cnf(109633,negated_conjecture,
    ( hskp18
    | hskp4
    | c2_1(a1985)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[92072,109615,theory(equality)]) ).

cnf(109713,negated_conjecture,
    ( hskp4
    | c2_1(a1985)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[109633,55606]) ).

cnf(109718,negated_conjecture,
    ( hskp14
    | hskp4
    | ~ hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[27710,109713,theory(equality)]) ).

cnf(110720,negated_conjecture,
    ( c1_1(a1979)
    | ~ hskp22
    | ~ c1_1(a2012) ),
    inference(csr,[status(thm)],[103027,46]) ).

cnf(110721,negated_conjecture,
    ( c1_1(a1979)
    | hskp30
    | hskp5
    | ~ hskp22 ),
    inference(spm,[status(thm)],[110720,5877,theory(equality)]) ).

cnf(110725,negated_conjecture,
    ( hskp30
    | c1_1(a1979)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[110721,105307]) ).

cnf(110746,negated_conjecture,
    ( hskp29
    | hskp30
    | ~ hskp22 ),
    inference(spm,[status(thm)],[94626,110725,theory(equality)]) ).

cnf(110774,negated_conjecture,
    ( hskp17
    | hskp30
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1524,110746,theory(equality)]) ).

cnf(110775,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp30
    | ~ hskp22 ),
    inference(spm,[status(thm)],[2159,110746,theory(equality)]) ).

cnf(110800,negated_conjecture,
    ( hskp30
    | hskp17
    | hskp2 ),
    inference(spm,[status(thm)],[110774,102294,theory(equality)]) ).

cnf(110802,negated_conjecture,
    ( hskp30
    | hskp17 ),
    inference(csr,[status(thm)],[110800,105727]) ).

cnf(110868,negated_conjecture,
    ( hskp30
    | hskp1
    | ~ hskp22 ),
    inference(csr,[status(thm)],[110775,99118]) ).

cnf(110877,negated_conjecture,
    ( hskp30
    | hskp1
    | hskp2 ),
    inference(spm,[status(thm)],[110868,102294,theory(equality)]) ).

cnf(110898,negated_conjecture,
    ( hskp5
    | hskp30
    | hskp1 ),
    inference(spm,[status(thm)],[105691,110877,theory(equality)]) ).

cnf(110915,negated_conjecture,
    ( hskp30
    | hskp1 ),
    inference(csr,[status(thm)],[110898,105558]) ).

cnf(111610,negated_conjecture,
    ( c2_1(a2041)
    | c1_1(a1979)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[103028,55815]) ).

cnf(111611,negated_conjecture,
    ( c1_1(a1979)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[111610,34]) ).

cnf(111629,negated_conjecture,
    ( hskp18
    | hskp4
    | ~ hskp25 ),
    inference(spm,[status(thm)],[92072,111611,theory(equality)]) ).

cnf(111698,negated_conjecture,
    ( hskp4
    | ~ hskp25 ),
    inference(csr,[status(thm)],[111629,56631]) ).

cnf(112114,negated_conjecture,
    ( c0_1(a1977)
    | ~ hskp5
    | ~ c1_1(a1979) ),
    inference(csr,[status(thm)],[103149,115]) ).

cnf(112115,negated_conjecture,
    ( c0_1(a1977)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[112114,105307]) ).

cnf(112168,negated_conjecture,
    ( hskp10
    | c2_1(a1977)
    | ~ c1_1(a1977)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[92007,112115,theory(equality)]) ).

cnf(112215,negated_conjecture,
    ( hskp10
    | c2_1(a1977)
    | ~ c1_1(a1977) ),
    inference(csr,[status(thm)],[112168,44313]) ).

cnf(112216,negated_conjecture,
    ( hskp10
    | c2_1(a1977)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[112215,115,theory(equality)]) ).

cnf(112217,negated_conjecture,
    ( hskp10
    | c2_1(a1977) ),
    inference(csr,[status(thm)],[112216,44313]) ).

cnf(112218,negated_conjecture,
    ( hskp10
    | ~ hskp5 ),
    inference(spm,[status(thm)],[114,112217,theory(equality)]) ).

cnf(112227,negated_conjecture,
    hskp10,
    inference(csr,[status(thm)],[112218,44313]) ).

cnf(112230,negated_conjecture,
    ( $false
    | ~ hskp4 ),
    inference(rw,[status(thm)],[103463,112227,theory(equality)]) ).

cnf(112231,negated_conjecture,
    ~ hskp4,
    inference(cn,[status(thm)],[112230,theory(equality)]) ).

cnf(112232,negated_conjecture,
    ( hskp16
    | $false ),
    inference(rw,[status(thm)],[99109,112227,theory(equality)]) ).

cnf(112233,negated_conjecture,
    hskp16,
    inference(cn,[status(thm)],[112232,theory(equality)]) ).

cnf(112301,negated_conjecture,
    ( $false
    | ~ c1_1(a1987) ),
    inference(rw,[status(thm)],[93,112227,theory(equality)]) ).

cnf(112302,negated_conjecture,
    ~ c1_1(a1987),
    inference(cn,[status(thm)],[112301,theory(equality)]) ).

cnf(112303,negated_conjecture,
    ( c3_1(a1987)
    | $false ),
    inference(rw,[status(thm)],[94,112227,theory(equality)]) ).

cnf(112304,negated_conjecture,
    c3_1(a1987),
    inference(cn,[status(thm)],[112303,theory(equality)]) ).

cnf(112305,negated_conjecture,
    ( c2_1(a1987)
    | $false ),
    inference(rw,[status(thm)],[95,112227,theory(equality)]) ).

cnf(112306,negated_conjecture,
    c2_1(a1987),
    inference(cn,[status(thm)],[112305,theory(equality)]) ).

cnf(112313,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp17
    | $false
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[109147,112233,theory(equality)]) ).

cnf(112314,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp17
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[112313,theory(equality)]) ).

cnf(112332,negated_conjecture,
    ( $false
    | ~ c2_1(a1983)
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[104716,112233,theory(equality)]) ).

cnf(112333,negated_conjecture,
    ( ~ c2_1(a1983)
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[112332,theory(equality)]) ).

cnf(112337,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a1983)
    | $false
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[99125,112233,theory(equality)]) ).

cnf(112338,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(a1983)
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[112337,theory(equality)]) ).

cnf(112351,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(a2005)
    | c1_1(X1)
    | ~ hskp30
    | $false
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[95443,112233,theory(equality)]) ).

cnf(112352,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(a2005)
    | c1_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[112351,theory(equality)]) ).

cnf(112363,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(X1)
    | $false
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[82623,112233,theory(equality)]) ).

cnf(112364,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(X1)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[112363,theory(equality)]) ).

cnf(112368,negated_conjecture,
    ( c1_1(a2012)
    | c1_1(X1)
    | ~ hskp22
    | $false
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[78050,112233,theory(equality)]) ).

cnf(112369,negated_conjecture,
    ( c1_1(a2012)
    | c1_1(X1)
    | ~ hskp22
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[112368,theory(equality)]) ).

cnf(112400,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | $false
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[50119,112233,theory(equality)]) ).

cnf(112401,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[112400,theory(equality)]) ).

cnf(112443,negated_conjecture,
    ( hskp12
    | hskp11
    | $false
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[3372,112233,theory(equality)]) ).

cnf(112444,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[112443,theory(equality)]) ).

cnf(112450,negated_conjecture,
    ( hskp26
    | hskp25
    | $false
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[1664,112233,theory(equality)]) ).

cnf(112451,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[112450,theory(equality)]) ).

cnf(114310,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(a1996)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[112338,112333]) ).

cnf(114420,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(a1987)
    | ~ hskp1
    | ~ c2_1(a1987) ),
    inference(spm,[status(thm)],[112364,112304,theory(equality)]) ).

cnf(114531,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(a1987)
    | ~ hskp1
    | $false ),
    inference(rw,[status(thm)],[114420,112306,theory(equality)]) ).

cnf(114532,negated_conjecture,
    ( c1_1(a1996)
    | c1_1(a1987)
    | ~ hskp1 ),
    inference(cn,[status(thm)],[114531,theory(equality)]) ).

cnf(114533,negated_conjecture,
    ( c1_1(a1996)
    | ~ hskp1 ),
    inference(sr,[status(thm)],[114532,112302,theory(equality)]) ).

cnf(114555,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[112444,114533,theory(equality)]) ).

cnf(114556,negated_conjecture,
    ( hskp26
    | hskp25
    | ~ hskp1 ),
    inference(spm,[status(thm)],[112451,114533,theory(equality)]) ).

cnf(114581,negated_conjecture,
    ( hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[114555,107167]) ).

cnf(114587,negated_conjecture,
    ( hskp14
    | hskp25
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[27871,114556,theory(equality)]) ).

cnf(114595,negated_conjecture,
    ( hskp14
    | hskp4
    | hskp25
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[109718,114556,theory(equality)]) ).

cnf(114600,negated_conjecture,
    ( hskp14
    | hskp25
    | ~ hskp9
    | ~ hskp1 ),
    inference(sr,[status(thm)],[114595,112231,theory(equality)]) ).

cnf(114821,negated_conjecture,
    ( hskp4
    | hskp14
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[111698,114587,theory(equality)]) ).

cnf(114825,negated_conjecture,
    ( hskp14
    | ~ hskp11
    | ~ hskp1 ),
    inference(sr,[status(thm)],[114821,112231,theory(equality)]) ).

cnf(114828,negated_conjecture,
    ( hskp17
    | ~ hskp3
    | ~ hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[106867,114825,theory(equality)]) ).

cnf(114860,negated_conjecture,
    ( hskp4
    | hskp14
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[111698,114600,theory(equality)]) ).

cnf(114864,negated_conjecture,
    ( hskp14
    | ~ hskp9
    | ~ hskp1 ),
    inference(sr,[status(thm)],[114860,112231,theory(equality)]) ).

cnf(114867,negated_conjecture,
    ( hskp17
    | ~ hskp3
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[106867,114864,theory(equality)]) ).

cnf(114973,negated_conjecture,
    ( c1_1(a2005)
    | c1_1(a1996)
    | c1_1(a1987)
    | ~ hskp30
    | ~ c2_1(a1987) ),
    inference(spm,[status(thm)],[112352,112304,theory(equality)]) ).

cnf(115082,negated_conjecture,
    ( c1_1(a2005)
    | c1_1(a1996)
    | c1_1(a1987)
    | ~ hskp30
    | $false ),
    inference(rw,[status(thm)],[114973,112306,theory(equality)]) ).

cnf(115083,negated_conjecture,
    ( c1_1(a2005)
    | c1_1(a1996)
    | c1_1(a1987)
    | ~ hskp30 ),
    inference(cn,[status(thm)],[115082,theory(equality)]) ).

cnf(115084,negated_conjecture,
    ( c1_1(a2005)
    | c1_1(a1996)
    | ~ hskp30 ),
    inference(sr,[status(thm)],[115083,112302,theory(equality)]) ).

cnf(115110,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[112401,114310]) ).

cnf(115844,negated_conjecture,
    ( hskp17
    | ~ hskp11
    | ~ hskp3 ),
    inference(csr,[status(thm)],[114828,107246]) ).

cnf(116167,negated_conjecture,
    ( c1_1(a2012)
    | c1_1(a1987)
    | ~ hskp22
    | ~ c2_1(a1987)
    | ~ c1_1(a1996) ),
    inference(spm,[status(thm)],[112369,112304,theory(equality)]) ).

cnf(116280,negated_conjecture,
    ( c1_1(a2012)
    | c1_1(a1987)
    | ~ hskp22
    | $false
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[116167,112306,theory(equality)]) ).

cnf(116281,negated_conjecture,
    ( c1_1(a2012)
    | c1_1(a1987)
    | ~ hskp22
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[116280,theory(equality)]) ).

cnf(116282,negated_conjecture,
    ( c1_1(a2012)
    | ~ hskp22
    | ~ c1_1(a1996) ),
    inference(sr,[status(thm)],[116281,112302,theory(equality)]) ).

cnf(116563,negated_conjecture,
    ( hskp17
    | ~ hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[114867,107246]) ).

cnf(116565,negated_conjecture,
    ( hskp17
    | hskp11
    | ~ hskp3 ),
    inference(spm,[status(thm)],[116563,92069,theory(equality)]) ).

cnf(116567,negated_conjecture,
    ( hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[116565,115844]) ).

cnf(119311,negated_conjecture,
    ( ~ hskp22
    | ~ hskp12
    | ~ c1_1(a1996) ),
    inference(spm,[status(thm)],[101539,116282,theory(equality)]) ).

cnf(119319,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a1996) ),
    inference(csr,[status(thm)],[119311,101649]) ).

cnf(119326,negated_conjecture,
    ( c1_1(a2005)
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[119319,115084,theory(equality)]) ).

cnf(119385,negated_conjecture,
    ( c1_1(a2005)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[119326,101580]) ).

cnf(119386,negated_conjecture,
    ( hskp17
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1548,119385,theory(equality)]) ).

cnf(119409,negated_conjecture,
    ( hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[119386,110802]) ).

cnf(119410,negated_conjecture,
    ~ hskp12,
    inference(csr,[status(thm)],[119409,99024]) ).

cnf(119411,negated_conjecture,
    hskp11,
    inference(sr,[status(thm)],[114581,119410,theory(equality)]) ).

cnf(119454,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a1989)
    | $false ),
    inference(rw,[status(thm)],[3158,119411,theory(equality)]) ).

cnf(119455,negated_conjecture,
    ( hskp17
    | hskp3
    | c1_1(a1989) ),
    inference(cn,[status(thm)],[119454,theory(equality)]) ).

cnf(119463,negated_conjecture,
    ( $false
    | ~ c0_1(a1989) ),
    inference(rw,[status(thm)],[90,119411,theory(equality)]) ).

cnf(119464,negated_conjecture,
    ~ c0_1(a1989),
    inference(cn,[status(thm)],[119463,theory(equality)]) ).

cnf(119465,negated_conjecture,
    ( $false
    | ~ c3_1(a1989) ),
    inference(rw,[status(thm)],[89,119411,theory(equality)]) ).

cnf(119466,negated_conjecture,
    ~ c3_1(a1989),
    inference(cn,[status(thm)],[119465,theory(equality)]) ).

cnf(119467,negated_conjecture,
    ( c2_1(a1989)
    | $false ),
    inference(rw,[status(thm)],[91,119411,theory(equality)]) ).

cnf(119468,negated_conjecture,
    c2_1(a1989),
    inference(cn,[status(thm)],[119467,theory(equality)]) ).

cnf(119610,negated_conjecture,
    ( c0_1(a1989)
    | ~ c1_1(a1996)
    | ~ c1_1(a1989) ),
    inference(spm,[status(thm)],[119466,114310,theory(equality)]) ).

cnf(119611,negated_conjecture,
    ( c0_1(a1989)
    | hskp1
    | ~ c1_1(a1996) ),
    inference(spm,[status(thm)],[119466,115110,theory(equality)]) ).

cnf(119682,negated_conjecture,
    ( ~ c1_1(a1996)
    | ~ c1_1(a1989) ),
    inference(sr,[status(thm)],[119610,119464,theory(equality)]) ).

cnf(119683,negated_conjecture,
    ( hskp1
    | ~ c1_1(a1996) ),
    inference(sr,[status(thm)],[119611,119464,theory(equality)]) ).

cnf(120083,negated_conjecture,
    ( hskp17
    | c1_1(a1989) ),
    inference(csr,[status(thm)],[119455,116567]) ).

cnf(120201,negated_conjecture,
    ( hskp1
    | c1_1(a2005)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[119683,115084,theory(equality)]) ).

cnf(120308,negated_conjecture,
    ( ~ c1_1(a1989)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[119682,114533,theory(equality)]) ).

cnf(120319,negated_conjecture,
    ( hskp17
    | ~ hskp1 ),
    inference(spm,[status(thm)],[120308,120083,theory(equality)]) ).

cnf(120743,negated_conjecture,
    ( hskp1
    | c1_1(a2005) ),
    inference(csr,[status(thm)],[120201,110915]) ).

cnf(120746,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2205,120743,theory(equality)]) ).

cnf(120761,negated_conjecture,
    ( hskp1
    | ~ hskp30 ),
    inference(sr,[status(thm)],[120746,112231,theory(equality)]) ).

cnf(120765,negated_conjecture,
    hskp1,
    inference(csr,[status(thm)],[120761,110915]) ).

cnf(120771,negated_conjecture,
    ( hskp17
    | $false ),
    inference(rw,[status(thm)],[120319,120765,theory(equality)]) ).

cnf(120772,negated_conjecture,
    hskp17,
    inference(cn,[status(thm)],[120771,theory(equality)]) ).

cnf(120777,negated_conjecture,
    ( $false
    | ~ c1_1(a1989) ),
    inference(rw,[status(thm)],[120308,120765,theory(equality)]) ).

cnf(120778,negated_conjecture,
    ~ c1_1(a1989),
    inference(cn,[status(thm)],[120777,theory(equality)]) ).

cnf(120795,negated_conjecture,
    ( c1_1(a1996)
    | $false ),
    inference(rw,[status(thm)],[114533,120765,theory(equality)]) ).

cnf(120796,negated_conjecture,
    c1_1(a1996),
    inference(cn,[status(thm)],[120795,theory(equality)]) ).

cnf(121003,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | $false
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(rw,[status(thm)],[112314,120772,theory(equality)]) ).

cnf(121004,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(a1996) ),
    inference(cn,[status(thm)],[121003,theory(equality)]) ).

cnf(122127,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[121004,120796,theory(equality)]) ).

cnf(122128,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[122127,theory(equality)]) ).

cnf(122130,negated_conjecture,
    ( c1_1(a1989)
    | ~ c2_1(a1989) ),
    inference(spm,[status(thm)],[119466,122128,theory(equality)]) ).

cnf(122158,negated_conjecture,
    ( c1_1(a1989)
    | $false ),
    inference(rw,[status(thm)],[122130,119468,theory(equality)]) ).

cnf(122159,negated_conjecture,
    c1_1(a1989),
    inference(cn,[status(thm)],[122158,theory(equality)]) ).

cnf(122160,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[122159,120778,theory(equality)]) ).

cnf(122161,negated_conjecture,
    $false,
    122160,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN484+1.p
% --creating new selector for []
% -running prover on /tmp/tmpjZZ7q9/sel_SYN484+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN484+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN484+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN484+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------