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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN484+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:56:50 PM UTC 2026

% Result   : Theorem 3.04s 1.11s
% Output   : Refutation 3.77s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,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) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c2_1(X1)
              | ~ c0_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c3_1(X3) ) )
        | hskp27 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c2_1(X5)
              | ~ c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | ~ c1_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c3_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | c2_1(X11)
              | ~ c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | ~ c0_1(X12)
              | ~ c2_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c0_1(X14)
              | ~ c1_1(X14) ) )
        | hskp1 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp28 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | hskp2 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | ~ c0_1(X20)
              | ~ c1_1(X20) ) )
        | hskp3 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | hskp4
        | hskp27 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | ~ c0_1(X23)
              | ~ c2_1(X23) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | hskp29
        | hskp6 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | ~ c0_1(X26)
              | ~ c3_1(X26) ) )
        | hskp1 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c1_1(X30)
              | ~ c2_1(X30) ) )
        | hskp7 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | hskp28
        | hskp8 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) )
        | hskp29 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c2_1(X38)
              | ~ c3_1(X38) ) )
        | hskp9 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c0_1(X41)
              | ~ c1_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c0_1(X47)
              | ~ c1_1(X47) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | ~ c0_1(X49)
              | ~ c2_1(X49) ) )
        | hskp8 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c3_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c2_1(X51)
              | ~ c0_1(X51)
              | ~ c1_1(X51) ) )
        | hskp10 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c2_1(X52)
              | ~ c3_1(X52) ) )
        | hskp9
        | hskp11 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | hskp12 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c0_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c3_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | hskp13 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c3_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c0_1(X61)
              | ~ c3_1(X61) ) )
        | hskp14 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | c3_1(X63)
              | ~ c1_1(X63) ) )
        | hskp15 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c2_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | hskp3 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c1_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) )
        | hskp10 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | hskp16 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp13
        | hskp17 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c1_1(X71)
              | ~ c3_1(X71) ) )
        | hskp4
        | hskp18 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | ~ c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) )
        | hskp19 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c0_1(X75)
              | ~ c1_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp13
        | hskp20 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | ~ c1_1(X79) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | hskp12 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c0_1(X83)
              | ~ c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c1_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | ~ c0_1(X88) ) )
        | hskp30
        | hskp5 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp4
        | hskp10 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c2_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c1_1(X91) ) )
        | hskp21 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp1
        | hskp10 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp22
        | hskp2 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c3_1(X94)
              | ~ c2_1(X94) ) )
        | hskp23
        | hskp6 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | c3_1(X95)
              | ~ c2_1(X95) ) )
        | hskp3
        | hskp17 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c2_1(X96) ) )
        | hskp10
        | hskp11 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp30
        | hskp15 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp6
        | hskp18 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | hskp27 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c2_1(X101)
              | ~ c3_1(X101) ) )
        | hskp10 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | c3_1(X102)
              | ~ c0_1(X102) ) )
        | hskp16
        | hskp15 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | c3_1(X103)
              | ~ c1_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c1_1(X104)
              | ~ c3_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | hskp1
        | hskp22 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | hskp16
        | hskp24 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c3_1(X109) ) )
        | hskp20 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | hskp11
        | hskp12 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c0_1(X111)
              | ~ c2_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c3_1(X112) ) )
        | hskp10 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c3_1(X113)
              | ~ c0_1(X113)
              | ~ c2_1(X113) ) )
        | hskp4
        | hskp17 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c2_1(X114) ) )
        | hskp12
        | hskp0 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c0_1(X115)
              | ~ c2_1(X115) ) )
        | hskp24
        | hskp25 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c1_1(X116)
              | ~ c2_1(X116) ) )
        | hskp14
        | hskp10 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c2_1(X117) ) )
        | hskp1
        | hskp4 )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c1_1(X118)
              | ~ c2_1(X118) ) )
        | hskp3
        | hskp8 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c1_1(X119)
              | ~ c2_1(X119) ) )
        | hskp17 )
      & ( ! [X120] :
            ( ndr1_0
           => ( ~ c0_1(X120)
              | ~ c1_1(X120)
              | ~ c3_1(X120) ) )
        | hskp26
        | hskp25 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c1_1(X121)
              | ~ c2_1(X121)
              | ~ c3_1(X121) ) )
        | hskp4
        | hskp11 )
      & ( hskp28
        | hskp1
        | hskp21 )
      & ( hskp23
        | hskp5
        | hskp8 )
      & ( hskp30
        | hskp27
        | hskp6 )
      & ( hskp16
        | hskp19
        | hskp15 )
      & ( hskp16
        | hskp21
        | hskp18 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,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) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c2_1(X1)
                | ~ c0_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c3_1(X3) ) )
          | hskp27 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | ~ c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c3_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | c2_1(X11)
                | ~ c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | ~ c0_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c0_1(X14)
                | ~ c1_1(X14) ) )
          | hskp1 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp28 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | hskp2 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | ~ c0_1(X20)
                | ~ c1_1(X20) ) )
          | hskp3 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp4
          | hskp27 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | ~ c0_1(X23)
                | ~ c2_1(X23) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | hskp29
          | hskp6 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c0_1(X26)
                | ~ c3_1(X26) ) )
          | hskp1 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c1_1(X30)
                | ~ c2_1(X30) ) )
          | hskp7 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | hskp28
          | hskp8 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) )
          | hskp29 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c2_1(X38)
                | ~ c3_1(X38) ) )
          | hskp9 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c0_1(X41)
                | ~ c1_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c0_1(X49)
                | ~ c2_1(X49) ) )
          | hskp8 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | ~ c0_1(X51)
                | ~ c1_1(X51) ) )
          | hskp10 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c3_1(X52) ) )
          | hskp9
          | hskp11 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp12 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c0_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c3_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | hskp13 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp14 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | c3_1(X63)
                | ~ c1_1(X63) ) )
          | hskp15 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | hskp3 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | hskp10 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | hskp16 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp13
          | hskp17 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) )
          | hskp4
          | hskp18 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) )
          | hskp19 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp13
          | hskp20 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | ~ c1_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp12 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c0_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c1_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c0_1(X88) ) )
          | hskp30
          | hskp5 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp4
          | hskp10 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) )
          | hskp21 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp1
          | hskp10 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp22
          | hskp2 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c3_1(X94)
                | ~ c2_1(X94) ) )
          | hskp23
          | hskp6 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | c3_1(X95)
                | ~ c2_1(X95) ) )
          | hskp3
          | hskp17 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c2_1(X96) ) )
          | hskp10
          | hskp11 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp30
          | hskp15 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp6
          | hskp18 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | hskp27 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp10 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c3_1(X102)
                | ~ c0_1(X102) ) )
          | hskp16
          | hskp15 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c3_1(X103)
                | ~ c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c1_1(X104)
                | ~ c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp1
          | hskp22 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp16
          | hskp24 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | hskp20 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp11
          | hskp12 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c0_1(X111)
                | ~ c2_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c3_1(X112) ) )
          | hskp10 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c0_1(X113)
                | ~ c2_1(X113) ) )
          | hskp4
          | hskp17 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c2_1(X114) ) )
          | hskp12
          | hskp0 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c0_1(X115)
                | ~ c2_1(X115) ) )
          | hskp24
          | hskp25 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c1_1(X116)
                | ~ c2_1(X116) ) )
          | hskp14
          | hskp10 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c2_1(X117) ) )
          | hskp1
          | hskp4 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | ~ c2_1(X118) ) )
          | hskp3
          | hskp8 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c1_1(X119)
                | ~ c2_1(X119) ) )
          | hskp17 )
        & ( ! [X120] :
              ( ndr1_0
             => ( ~ c0_1(X120)
                | ~ c1_1(X120)
                | ~ c3_1(X120) ) )
          | hskp26
          | hskp25 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c1_1(X121)
                | ~ c2_1(X121)
                | ~ c3_1(X121) ) )
          | hskp4
          | hskp11 )
        & ( hskp28
          | hskp1
          | hskp21 )
        & ( hskp23
          | hskp5
          | hskp8 )
        & ( hskp30
          | hskp27
          | hskp6 )
        & ( hskp16
          | hskp19
          | hskp15 )
        & ( hskp16
          | hskp21
          | hskp18 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ 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) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c2_1(X1)
            | ~ c0_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c2_1(X3)
            | c3_1(X3) ) )
      | hskp27 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c2_1(X5)
            | ~ c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | ~ c1_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c3_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | c2_1(X11)
            | ~ c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | ~ c0_1(X12)
            | ~ c2_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | ~ c0_1(X14)
            | ~ c1_1(X14) ) )
      | hskp1 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c2_1(X16)
            | ~ c3_1(X16) ) )
      | hskp28 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | hskp2 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c2_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | ~ c0_1(X20)
            | ~ c1_1(X20) ) )
      | hskp3 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c2_1(X21) ) )
      | hskp4
      | hskp27 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | ~ c0_1(X23)
            | ~ c2_1(X23) ) )
      | hskp5 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | hskp29
      | hskp6 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c0_1(X26)
            | ~ c3_1(X26) ) )
      | hskp1 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c2_1(X28)
            | ~ c3_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | ~ c1_1(X30)
            | ~ c2_1(X30) ) )
      | hskp7 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) )
      | hskp28
      | hskp8 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c1_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) )
      | hskp29 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c2_1(X38)
            | ~ c3_1(X38) ) )
      | hskp9 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c2_1(X41)
            | ~ c0_1(X41)
            | ~ c1_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c2_1(X43)
            | ~ c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c2_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | ~ c0_1(X47)
            | ~ c1_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | ~ c0_1(X49)
            | ~ c2_1(X49) ) )
      | hskp8 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c2_1(X51)
            | ~ c0_1(X51)
            | ~ c1_1(X51) ) )
      | hskp10 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c2_1(X52)
            | ~ c3_1(X52) ) )
      | hskp9
      | hskp11 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c3_1(X53)
            | ~ c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | hskp12 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c3_1(X55)
            | ~ c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c0_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | c3_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | hskp13 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | c3_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | ~ c0_1(X61)
            | ~ c3_1(X61) ) )
      | hskp14 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | c3_1(X62)
            | ~ c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | c3_1(X63)
            | ~ c1_1(X63) ) )
      | hskp15 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c1_1(X65)
            | ~ c3_1(X65) ) )
      | hskp3 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c1_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | ~ c0_1(X67)
            | ~ c1_1(X67) ) )
      | hskp10 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) )
      | hskp16 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c1_1(X70)
            | ~ c3_1(X70) ) )
      | hskp13
      | hskp17 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c1_1(X71)
            | ~ c3_1(X71) ) )
      | hskp4
      | hskp18 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) )
      | hskp19 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c2_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c0_1(X75)
            | ~ c1_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp13
      | hskp20 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c3_1(X78)
            | ~ c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | ~ c0_1(X79)
            | ~ c1_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c1_1(X81) ) )
      | hskp12 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c0_1(X83)
            | ~ c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c1_1(X87)
            | ~ c3_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c2_1(X88)
            | ~ c0_1(X88) ) )
      | hskp30
      | hskp5 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c2_1(X89)
            | ~ c0_1(X89) ) )
      | hskp4
      | hskp10 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c2_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c1_1(X91) ) )
      | hskp21 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp1
      | hskp10 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c2_1(X93)
            | ~ c3_1(X93) ) )
      | hskp22
      | hskp2 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | c3_1(X94)
            | ~ c2_1(X94) ) )
      | hskp23
      | hskp6 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | c3_1(X95)
            | ~ c2_1(X95) ) )
      | hskp3
      | hskp17 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c2_1(X96) ) )
      | hskp10
      | hskp11 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c0_1(X97)
            | ~ c3_1(X97) ) )
      | hskp30
      | hskp15 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp6
      | hskp18 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c2_1(X100)
            | ~ c3_1(X100) ) )
      | hskp27 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c2_1(X101)
            | ~ c3_1(X101) ) )
      | hskp10 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c3_1(X102)
            | ~ c0_1(X102) ) )
      | hskp16
      | hskp15 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c3_1(X103)
            | ~ c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c1_1(X104)
            | ~ c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | ~ c0_1(X106)
            | ~ c1_1(X106) ) )
      | hskp1
      | hskp22 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | ~ c0_1(X107)
            | ~ c1_1(X107) ) )
      | hskp16
      | hskp24 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c1_1(X108)
            | ~ c3_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c1_1(X109)
            | ~ c3_1(X109) ) )
      | hskp20 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) )
      | hskp11
      | hskp12 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | ~ c0_1(X111)
            | ~ c2_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c3_1(X112) ) )
      | hskp10 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c0_1(X113)
            | ~ c2_1(X113) ) )
      | hskp4
      | hskp17 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c2_1(X114) ) )
      | hskp12
      | hskp0 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c0_1(X115)
            | ~ c2_1(X115) ) )
      | hskp24
      | hskp25 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c1_1(X116)
            | ~ c2_1(X116) ) )
      | hskp14
      | hskp10 )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c1_1(X117)
            | ~ c2_1(X117) ) )
      | hskp1
      | hskp4 )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c0_1(X118)
            | ~ c1_1(X118)
            | ~ c2_1(X118) ) )
      | hskp3
      | hskp8 )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c1_1(X119)
            | ~ c2_1(X119) ) )
      | hskp17 )
    & ( ! [X120] :
          ( ndr1_0
         => ( ~ c0_1(X120)
            | ~ c1_1(X120)
            | ~ c3_1(X120) ) )
      | hskp26
      | hskp25 )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c1_1(X121)
            | ~ c2_1(X121)
            | ~ c3_1(X121) ) )
      | hskp4
      | hskp11 )
    & ( hskp28
      | hskp1
      | hskp21 )
    & ( hskp23
      | hskp5
      | hskp8 )
    & ( hskp30
      | hskp27
      | hskp6 )
    & ( hskp16
      | hskp19
      | hskp15 )
    & ( hskp16
      | hskp21
      | hskp18 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ 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) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp4
      | hskp27 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c3_1(X23)
          | ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp29
      | hskp6 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | ~ c0_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp9
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c0_1(X58)
          | c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X60] :
          ( c0_1(X60)
          | c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c0_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp13
      | hskp17 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp4
      | hskp18 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp13
      | hskp20 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp30
      | hskp5 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp4
      | hskp10 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp1
      | hskp10 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp22
      | hskp2 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp23
      | hskp6 )
    & ( ! [X95] :
          ( c1_1(X95)
          | c3_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp30
      | hskp15 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp6
      | hskp18 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ! [X103] :
          ( c2_1(X103)
          | c3_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | ~ c1_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp1
      | hskp22 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp16
      | hskp24 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp12
      | hskp0 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp1
      | hskp4 )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp3
      | hskp8 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp26
      | hskp25 )
    & ( ! [X121] :
          ( ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp4
      | hskp11 )
    & ( hskp28
      | hskp1
      | hskp21 )
    & ( hskp23
      | hskp5
      | hskp8 )
    & ( hskp30
      | hskp27
      | hskp6 )
    & ( hskp16
      | hskp19
      | hskp15 )
    & ( hskp16
      | hskp21
      | hskp18 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ 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) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp4
      | hskp27 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c3_1(X23)
          | ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp29
      | hskp6 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c0_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c2_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | ~ c0_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp9
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c0_1(X58)
          | c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X60] :
          ( c0_1(X60)
          | c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | c3_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c0_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp13
      | hskp17 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp4
      | hskp18 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp13
      | hskp20 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | c3_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c1_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp30
      | hskp5 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp4
      | hskp10 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp1
      | hskp10 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp22
      | hskp2 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp23
      | hskp6 )
    & ( ! [X95] :
          ( c1_1(X95)
          | c3_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp30
      | hskp15 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp6
      | hskp18 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ! [X103] :
          ( c2_1(X103)
          | c3_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | ~ c1_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp1
      | hskp22 )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp16
      | hskp24 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp12
      | hskp0 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp1
      | hskp4 )
    & ( ! [X118] :
          ( ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp3
      | hskp8 )
    & ( ! [X119] :
          ( ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X120] :
          ( ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ c3_1(X120)
          | ~ ndr1_0 )
      | hskp26
      | hskp25 )
    & ( ! [X121] :
          ( ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp4
      | hskp11 )
    & ( hskp28
      | hskp1
      | hskp21 )
    & ( hskp23
      | hskp5
      | hskp8 )
    & ( hskp30
      | hskp27
      | hskp6 )
    & ( hskp16
      | hskp19
      | hskp15 )
    & ( hskp16
      | hskp21
      | hskp18 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp16
    | hskp21
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp16
    | hskp19
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp30
    | hskp27
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp23
    | hskp5
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X121] :
      ( ~ c1_1(X121)
      | ~ c2_1(X121)
      | ~ c3_1(X121)
      | ~ ndr1_0
      | hskp4
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X120] :
      ( ~ c0_1(X120)
      | ~ c1_1(X120)
      | ~ c3_1(X120)
      | ~ ndr1_0
      | hskp26
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X119] :
      ( ~ c0_1(X119)
      | ~ c1_1(X119)
      | ~ c2_1(X119)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X113] :
      ( c3_1(X113)
      | ~ c0_1(X113)
      | ~ c2_1(X113)
      | ~ ndr1_0
      | hskp4
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X111,X112] :
      ( c3_1(X111)
      | ~ c0_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X110] :
      ( c2_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X108,X109] :
      ( c2_1(X108)
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ c3_1(X109)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X106] :
      ( c2_1(X106)
      | ~ c0_1(X106)
      | ~ c1_1(X106)
      | ~ ndr1_0
      | hskp1
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X104,X105,X103] :
      ( c2_1(X103)
      | c3_1(X103)
      | ~ c1_1(X103)
      | ~ ndr1_0
      | c2_1(X104)
      | ~ c1_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X102] :
      ( c2_1(X102)
      | c3_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | hskp16
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X98] :
      ( c1_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | hskp6
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X97] :
      ( c1_1(X97)
      | ~ c0_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp30
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X95] :
      ( c1_1(X95)
      | c3_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp3
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X94] :
      ( c1_1(X94)
      | c3_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | hskp23
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X93] :
      ( c1_1(X93)
      | c2_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0
      | hskp22
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X92] :
      ( c1_1(X92)
      | c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp1
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c2_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | c2_1(X91)
      | c3_1(X91)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X88] :
      ( c1_1(X88)
      | c2_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | hskp30
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X86,X87,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | ~ c1_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X82,X83,X84] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | c1_1(X83)
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X78,X79,X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | c3_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | c2_1(X79)
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X76] :
      ( c0_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp13
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X74,X75] :
      ( c0_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X71] :
      ( c0_1(X71)
      | ~ c1_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | hskp4
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X70] :
      ( c0_1(X70)
      | ~ c1_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp13
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | c3_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c2_1(X63)
      | c3_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | c3_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c0_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X56,X57,X55] :
      ( c0_1(X55)
      | c3_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | c0_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | ~ c0_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | c2_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | c2_1(X41)
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X31] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | hskp28
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X24] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | hskp29
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X21] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | hskp4
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ( ~ hskp30
    | c3_1(a2005) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp30
    | c2_1(a2005) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp30
    | c0_1(a2005) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ~ hskp29
    | c2_1(a1978) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c1_1(a1978) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c0_1(a1978) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ~ hskp28
    | c3_1(a1972) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c1_1(a1972) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c0_1(a1972) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( ~ hskp27
    | c3_1(a1970) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c2_1(a1970) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c1_1(a1970) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp26
    | ~ c1_1(a2049) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | c3_1(a2049) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | c0_1(a2049) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp25
    | ~ c3_1(a2041) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c2_1(a2041) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | ~ c0_1(a2041) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp23
    | ~ c2_1(a2014) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp23
    | c1_1(a2014) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp23
    | c0_1(a2014) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ~ hskp22
    | ~ c3_1(a2012) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c2_1(a2012) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | c0_1(a2012) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ hskp21
    | ~ c3_1(a2009) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c1_1(a2009) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | c2_1(a2009) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp20
    | ~ c3_1(a2003) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp20
    | c2_1(a2003) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp20
    | c1_1(a2003) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    ( ~ hskp19
    | ~ c0_1(a2001) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | c3_1(a2001) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | c2_1(a2001) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp18
    | ~ c3_1(a2000) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c1_1(a2000) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | ~ c0_1(a2000) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp17
    | ~ c0_1(a1998) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | c3_1(a1998) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | c1_1(a1998) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp16
    | ~ c2_1(a1996) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | c3_1(a1996) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | c0_1(a1996) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp15
    | ~ c1_1(a1993) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c0_1(a1993) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | c2_1(a1993) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ hskp14
    | ~ c2_1(a1992) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c0_1(a1992) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | c1_1(a1992) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp13
    | ~ c3_1(a1991) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | c2_1(a1991) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | c0_1(a1991) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp12
    | ~ c2_1(a1990) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c1_1(a1990) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | c3_1(a1990) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp11
    | ~ c3_1(a1989) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c0_1(a1989) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | c2_1(a1989) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ~ hskp10
    | ~ c1_1(a1987) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | c3_1(a1987) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | c2_1(a1987) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp8
    | ~ c1_1(a1983) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp8
    | ~ c0_1(a1983) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | c3_1(a1983) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp6
    | ~ c2_1(a1979) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp6
    | ~ c0_1(a1979) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp6
    | c3_1(a1979) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp5
    | ~ c3_1(a1977) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c2_1(a1977) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp5
    | c1_1(a1977) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ hskp4
    | ~ c2_1(a1975) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c1_1(a1975) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | c0_1(a1975) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp3
    | ~ c0_1(a1974) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | c2_1(a1974) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | c1_1(a1974) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp2
    | ~ c2_1(a1973) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | c3_1(a1973) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | c1_1(a1973) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ hskp1
    | ~ c1_1(a1971) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | c2_1(a1971) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | c0_1(a1971) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ! [X111,X112] :
      ( c3_1(X111)
      | ~ c0_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ c3_1(X112)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f206,plain,
    ! [X108,X109] :
      ( c2_1(X108)
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ c3_1(X109)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f207,plain,
    ! [X104,X105,X103] :
      ( c2_1(X103)
      | c3_1(X103)
      | ~ c1_1(X103)
      | ~ ndr1_0
      | c2_1(X104)
      | ~ c1_1(X104)
      | ~ c3_1(X104)
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ c1_1(X105) ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f209,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c2_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | c2_1(X91)
      | c3_1(X91)
      | ~ c1_1(X91)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f210,plain,
    ! [X86,X87,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | c2_1(X87)
      | ~ c1_1(X87)
      | ~ c3_1(X87) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f211,plain,
    ! [X82,X83,X84] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | c1_1(X83)
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f212,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f213,plain,
    ! [X78,X79,X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | c3_1(X78)
      | ~ c2_1(X78)
      | c2_1(X79)
      | ~ c0_1(X79)
      | ~ c1_1(X79) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f214,plain,
    ! [X74,X75] :
      ( c0_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | ~ c0_1(X75)
      | ~ c1_1(X75) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f216,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f219,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | c3_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c2_1(X63)
      | c3_1(X63)
      | ~ c1_1(X63)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f220,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | c3_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c0_1(X61)
      | ~ c3_1(X61)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f221,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f222,plain,
    ! [X56,X57,X55] :
      ( c0_1(X55)
      | c3_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X56)
      | ~ c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f223,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | c0_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f225,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | ~ c0_1(X49)
      | ~ c2_1(X49)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f226,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f227,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | c2_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f228,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | ~ c0_1(X40)
      | c2_1(X41)
      | ~ c0_1(X41)
      | ~ c1_1(X41) ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f231,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | c3_1(X33)
      | ~ c1_1(X33)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ c3_1(X34) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f233,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f235,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c3_1(X23)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f236,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | ~ c0_1(X20)
      | ~ c1_1(X20)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f237,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f246,definition,
    ( spl0_1
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f249,definition,
    ( spl0_2
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f252,definition,
    ( spl0_3
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f254,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f252,f249,f246]) ).

fof(f256,definition,
    ( spl0_4
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f259,definition,
    ( spl0_5
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f261,plain,
    ( spl0_4
    | spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f252,f259,f256]) ).

fof(f263,definition,
    ( spl0_6
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f266,definition,
    ( spl0_7
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f269,definition,
    ( spl0_8
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f271,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f269,f266,f263]) ).

fof(f273,definition,
    ( spl0_9
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f276,definition,
    ( spl0_10
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f279,definition,
    ( spl0_11
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f281,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f9,f279,f276,f273]) ).

fof(f283,definition,
    ( spl0_12
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_13
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f290,definition,
    ( spl0_14
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f293,definition,
    ( spl0_15
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f299,definition,
    ( spl0_17
  <=> ! [X121] :
        ( ~ c1_1(X121)
        | ~ c3_1(X121)
        | ~ c2_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f300,plain,
    ( ! [X121] :
        ( ~ c3_1(X121)
        | ~ c1_1(X121)
        | ~ c2_1(X121) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f301,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f11,f299,f296,f293,f290]) ).

fof(f303,definition,
    ( spl0_18
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_19
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f309,definition,
    ( spl0_20
  <=> ! [X120] :
        ( ~ c0_1(X120)
        | ~ c3_1(X120)
        | ~ c1_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f310,plain,
    ( ! [X120] :
        ( ~ c3_1(X120)
        | ~ c0_1(X120)
        | ~ c1_1(X120) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f309]) ).

fof(f311,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f12,f309,f296,f306,f303]) ).

fof(f313,definition,
    ( spl0_21
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_22
  <=> ! [X119] :
        ( ~ c0_1(X119)
        | ~ c2_1(X119)
        | ~ c1_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f317,plain,
    ( ! [X119] :
        ( ~ c0_1(X119)
        | ~ c2_1(X119)
        | ~ c1_1(X119) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f318,plain,
    ( spl0_21
    | ~ spl0_16
    | spl0_22 ),
    inference(avatar_split_clause,[],[f13,f316,f296,f313]) ).

fof(f320,definition,
    ( spl0_23
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_24
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_25
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f338,definition,
    ( spl0_28
  <=> ! [X115] :
        ( c3_1(X115)
        | ~ c2_1(X115)
        | ~ c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f339,plain,
    ( ! [X115] :
        ( c3_1(X115)
        | ~ c2_1(X115)
        | ~ c0_1(X115) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f345,definition,
    ( spl0_30
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f348,plain,
    ( spl0_21
    | spl0_15
    | ~ spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f19,f338,f296,f293,f313]) ).

fof(f349,plain,
    ( spl0_24
    | spl0_20
    | ~ spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f205,f338,f296,f309,f325]) ).

fof(f351,definition,
    ( spl0_31
  <=> ! [X110] :
        ( c2_1(X110)
        | ~ c3_1(X110)
        | ~ c1_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f352,plain,
    ( ! [X110] :
        ( ~ c3_1(X110)
        | c2_1(X110)
        | ~ c1_1(X110) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f353,plain,
    ( spl0_30
    | spl0_14
    | ~ spl0_16
    | spl0_31 ),
    inference(avatar_split_clause,[],[f21,f351,f296,f290,f345]) ).

fof(f355,definition,
    ( spl0_32
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f357,plain,
    ( spl0_32
    | spl0_20
    | ~ spl0_16
    | spl0_31 ),
    inference(avatar_split_clause,[],[f206,f351,f296,f309,f355]) ).

fof(f359,definition,
    ( spl0_33
  <=> ! [X107] :
        ( c2_1(X107)
        | ~ c1_1(X107)
        | ~ c0_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | ~ c1_1(X107)
        | c2_1(X107) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f363,definition,
    ( spl0_34
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f365,plain,
    ( spl0_34
    | spl0_12
    | ~ spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f24,f359,f296,f283,f363]) ).

fof(f367,definition,
    ( spl0_35
  <=> ! [X105] :
        ( c3_1(X105)
        | ~ c1_1(X105)
        | ~ c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X105] :
        ( c3_1(X105)
        | ~ c1_1(X105)
        | ~ c0_1(X105) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f370,definition,
    ( spl0_36
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c1_1(X103)
        | c3_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X103] :
        ( c3_1(X103)
        | ~ c1_1(X103)
        | c2_1(X103) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f372,plain,
    ( spl0_35
    | spl0_31
    | ~ spl0_16
    | spl0_36 ),
    inference(avatar_split_clause,[],[f207,f370,f296,f351,f367]) ).

fof(f374,definition,
    ( spl0_37
  <=> ! [X102] :
        ( c2_1(X102)
        | ~ c0_1(X102)
        | c3_1(X102) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X102] :
        ( c3_1(X102)
        | ~ c0_1(X102)
        | c2_1(X102) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f376,plain,
    ( spl0_4
    | spl0_3
    | ~ spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f26,f374,f296,f252,f256]) ).

fof(f378,definition,
    ( spl0_38
  <=> ! [X101] :
        ( c1_1(X101)
        | ~ c3_1(X101)
        | ~ c2_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | c1_1(X101)
        | ~ c2_1(X101) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f383,definition,
    ( spl0_39
  <=> ! [X98] :
        ( c1_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | c1_1(X98)
        | ~ c0_1(X98) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f385,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f29,f383,f296,f263,f246]) ).

fof(f386,plain,
    ( spl0_4
    | spl0_8
    | ~ spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f30,f383,f296,f269,f256]) ).

fof(f388,definition,
    ( spl0_40
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c2_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X96] :
        ( ~ c0_1(X96)
        | ~ c2_1(X96)
        | c1_1(X96) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f392,definition,
    ( spl0_41
  <=> ! [X95] :
        ( c1_1(X95)
        | ~ c2_1(X95)
        | c3_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X95] :
        ( c3_1(X95)
        | ~ c2_1(X95)
        | c1_1(X95) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f394,plain,
    ( spl0_21
    | spl0_23
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f32,f392,f296,f320,f313]) ).

fof(f395,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f33,f392,f296,f279,f263]) ).

fof(f397,definition,
    ( spl0_42
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f400,definition,
    ( spl0_43
  <=> ! [X93] :
        ( c1_1(X93)
        | ~ c3_1(X93)
        | c2_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X93] :
        ( ~ c3_1(X93)
        | c1_1(X93)
        | c2_1(X93) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( spl0_42
    | spl0_34
    | ~ spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f34,f400,f296,f363,f397]) ).

fof(f403,plain,
    ( spl0_24
    | spl0_12
    | ~ spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f35,f400,f296,f283,f325]) ).

fof(f404,plain,
    ( spl0_2
    | spl0_36
    | ~ spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f209,f400,f296,f370,f249]) ).

fof(f406,definition,
    ( spl0_44
  <=> ! [X89] :
        ( c1_1(X89)
        | ~ c0_1(X89)
        | c2_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X89] :
        ( ~ c0_1(X89)
        | c1_1(X89)
        | c2_1(X89) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f409,plain,
    ( spl0_10
    | spl0_8
    | ~ spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f38,f406,f296,f269,f276]) ).

fof(f410,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f210,f406,f296,f378,f351]) ).

fof(f411,plain,
    ( spl0_38
    | spl0_40
    | ~ spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f211,f406,f296,f388,f378]) ).

fof(f413,definition,
    ( spl0_45
  <=> ! [X80] :
        ( c1_1(X80)
        | c3_1(X80)
        | c2_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | c1_1(X80)
        | c2_1(X80) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f415,plain,
    ( spl0_30
    | spl0_33
    | ~ spl0_16
    | spl0_45 ),
    inference(avatar_split_clause,[],[f212,f413,f296,f359,f345]) ).

fof(f416,plain,
    ( spl0_33
    | spl0_41
    | ~ spl0_16
    | spl0_45 ),
    inference(avatar_split_clause,[],[f213,f413,f296,f392,f359]) ).

fof(f418,definition,
    ( spl0_46
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f421,definition,
    ( spl0_47
  <=> ! [X76] :
        ( c0_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c0_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_32
    | spl0_46
    | ~ spl0_16
    | spl0_47 ),
    inference(avatar_split_clause,[],[f43,f421,f296,f418,f355]) ).

fof(f424,plain,
    ( spl0_33
    | ~ spl0_16
    | spl0_47 ),
    inference(avatar_split_clause,[],[f214,f421,f296,f359]) ).

fof(f427,definition,
    ( spl0_48
  <=> ! [X71] :
        ( c0_1(X71)
        | ~ c3_1(X71)
        | ~ c1_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c0_1(X71)
        | ~ c1_1(X71) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f429,plain,
    ( spl0_1
    | spl0_15
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f46,f427,f296,f293,f246]) ).

fof(f430,plain,
    ( spl0_21
    | spl0_46
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f47,f427,f296,f418,f313]) ).

fof(f431,plain,
    ( spl0_3
    | spl0_20
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f216,f427,f296,f309,f252]) ).

fof(f433,definition,
    ( spl0_49
  <=> ! [X66] :
        ( c0_1(X66)
        | ~ c2_1(X66)
        | ~ c1_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f434,plain,
    ( ! [X66] :
        ( c0_1(X66)
        | ~ c2_1(X66)
        | ~ c1_1(X66) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f438,definition,
    ( spl0_50
  <=> ! [X62] :
        ( c0_1(X62)
        | ~ c2_1(X62)
        | c3_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | ~ c2_1(X62)
        | c0_1(X62) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( spl0_4
    | spl0_36
    | ~ spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f219,f438,f296,f370,f256]) ).

fof(f441,plain,
    ( spl0_25
    | spl0_39
    | ~ spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f220,f438,f296,f383,f328]) ).

fof(f442,plain,
    ( spl0_46
    | spl0_48
    | ~ spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f221,f438,f296,f427,f418]) ).

fof(f444,definition,
    ( spl0_51
  <=> ! [X55] :
        ( c0_1(X55)
        | ~ c1_1(X55)
        | c3_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f445,plain,
    ( ! [X55] :
        ( c3_1(X55)
        | ~ c1_1(X55)
        | c0_1(X55) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f446,plain,
    ( spl0_22
    | spl0_33
    | ~ spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f222,f444,f296,f359,f316]) ).

fof(f447,plain,
    ( spl0_30
    | spl0_48
    | ~ spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f223,f444,f296,f427,f345]) ).

fof(f452,definition,
    ( spl0_53
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c3_1(X52)
        | c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | c2_1(X52) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f456,plain,
    ( spl0_9
    | spl0_40
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f225,f452,f296,f388,f273]) ).

fof(f457,plain,
    ( spl0_33
    | spl0_41
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f226,f452,f296,f392,f359]) ).

fof(f458,plain,
    ( spl0_36
    | spl0_43
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f227,f452,f296,f400,f370]) ).

fof(f459,plain,
    ( spl0_33
    | spl0_44
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f228,f452,f296,f406,f359]) ).

fof(f462,definition,
    ( spl0_54
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f465,plain,
    ( spl0_31
    | spl0_51
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f231,f452,f296,f444,f351]) ).

fof(f467,definition,
    ( spl0_55
  <=> ! [X31] :
        ( c0_1(X31)
        | ~ c1_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X31] :
        ( c0_1(X31)
        | ~ c1_1(X31)
        | c2_1(X31) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( spl0_9
    | spl0_13
    | ~ spl0_16
    | spl0_55 ),
    inference(avatar_split_clause,[],[f65,f467,f296,f286,f273]) ).

fof(f475,definition,
    ( spl0_57
  <=> ! [X27] :
        ( c0_1(X27)
        | c3_1(X27)
        | c2_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f476,plain,
    ( ! [X27] :
        ( c3_1(X27)
        | c0_1(X27)
        | c2_1(X27) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f477,plain,
    ( spl0_17
    | ~ spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f233,f475,f296,f299]) ).

fof(f483,definition,
    ( spl0_59
  <=> ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X24] :
        ( ~ c3_1(X24)
        | c0_1(X24)
        | c1_1(X24) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( spl0_6
    | spl0_54
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f69,f483,f296,f462,f263]) ).

fof(f486,plain,
    ( spl0_10
    | spl0_28
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f235,f483,f296,f338,f276]) ).

fof(f488,definition,
    ( spl0_60
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c2_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f489,plain,
    ( ! [X21] :
        ( c0_1(X21)
        | ~ c2_1(X21)
        | c1_1(X21) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f490,plain,
    ( spl0_7
    | spl0_15
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f71,f488,f296,f293,f266]) ).

fof(f491,plain,
    ( spl0_23
    | spl0_33
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f236,f488,f296,f359,f320]) ).

fof(f492,plain,
    ( spl0_42
    | spl0_45
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f237,f488,f296,f413,f397]) ).

fof(f507,definition,
    ( spl0_63
  <=> c3_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f508,plain,
    ( c3_1(a2005)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( spl0_63
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f81,f269,f507]) ).

fof(f512,definition,
    ( spl0_64
  <=> c2_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f514,plain,
    ( spl0_64
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f82,f269,f512]) ).

fof(f516,definition,
    ( spl0_65
  <=> c0_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f517,plain,
    ( c0_1(a2005)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f518,plain,
    ( spl0_65
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f83,f269,f516]) ).

fof(f522,definition,
    ( spl0_66
  <=> c2_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f525,plain,
    ( spl0_66
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f85,f462,f522]) ).

fof(f527,definition,
    ( spl0_67
  <=> c1_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f529,plain,
    ( spl0_67
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f86,f462,f527]) ).

fof(f531,definition,
    ( spl0_68
  <=> c0_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f532,plain,
    ( c0_1(a1978)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f533,plain,
    ( spl0_68
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f87,f462,f531]) ).

fof(f536,definition,
    ( spl0_69
  <=> c3_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f537,plain,
    ( c3_1(a1972)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f539,plain,
    ( spl0_69
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f89,f286,f536]) ).

fof(f541,definition,
    ( spl0_70
  <=> c1_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f543,plain,
    ( spl0_70
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f90,f286,f541]) ).

fof(f545,definition,
    ( spl0_71
  <=> c0_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f546,plain,
    ( c0_1(a1972)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( spl0_71
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f91,f286,f545]) ).

fof(f550,definition,
    ( spl0_72
  <=> c3_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f551,plain,
    ( c3_1(a1970)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f553,plain,
    ( spl0_72
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f93,f266,f550]) ).

fof(f555,definition,
    ( spl0_73
  <=> c2_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f557,plain,
    ( spl0_73
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f94,f266,f555]) ).

fof(f559,definition,
    ( spl0_74
  <=> c1_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f561,plain,
    ( spl0_74
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f95,f266,f559]) ).

fof(f564,definition,
    ( spl0_75
  <=> c1_1(a2049) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ spl0_75
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f97,f306,f564]) ).

fof(f569,definition,
    ( spl0_76
  <=> c3_1(a2049) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f570,plain,
    ( c3_1(a2049)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( spl0_76
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f98,f306,f569]) ).

fof(f573,definition,
    ( spl0_77
  <=> c0_1(a2049) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f575,plain,
    ( spl0_77
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f99,f306,f573]) ).

fof(f578,definition,
    ( spl0_78
  <=> c3_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ c3_1(a2041)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( ~ spl0_78
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f101,f303,f578]) ).

fof(f583,definition,
    ( spl0_79
  <=> c2_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_79
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f102,f303,f583]) ).

fof(f587,definition,
    ( spl0_80
  <=> c0_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f588,plain,
    ( ~ c0_1(a2041)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( ~ spl0_80
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f103,f303,f587]) ).

fof(f606,definition,
    ( spl0_84
  <=> c2_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ spl0_84
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f109,f279,f606]) ).

fof(f611,definition,
    ( spl0_85
  <=> c1_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f613,plain,
    ( spl0_85
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f110,f279,f611]) ).

fof(f615,definition,
    ( spl0_86
  <=> c0_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f616,plain,
    ( c0_1(a2014)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( spl0_86
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f111,f279,f615]) ).

fof(f620,definition,
    ( spl0_87
  <=> c3_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c3_1(a2012)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl0_87
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f113,f363,f620]) ).

fof(f625,definition,
    ( spl0_88
  <=> c2_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ spl0_88
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f114,f363,f625]) ).

fof(f629,definition,
    ( spl0_89
  <=> c0_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f630,plain,
    ( c0_1(a2012)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( spl0_89
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f115,f363,f629]) ).

fof(f634,definition,
    ( spl0_90
  <=> c3_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c3_1(a2009)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f637,plain,
    ( ~ spl0_90
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f117,f249,f634]) ).

fof(f639,definition,
    ( spl0_91
  <=> c1_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f641,plain,
    ( ~ spl0_91
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f118,f249,f639]) ).

fof(f643,definition,
    ( spl0_92
  <=> c2_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f645,plain,
    ( spl0_92
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f119,f249,f643]) ).

fof(f646,plain,
    ( spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f120,f249,f296]) ).

fof(f648,definition,
    ( spl0_93
  <=> c3_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c3_1(a2003)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f651,plain,
    ( ~ spl0_93
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f121,f355,f648]) ).

fof(f653,definition,
    ( spl0_94
  <=> c2_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f655,plain,
    ( spl0_94
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f122,f355,f653]) ).

fof(f657,definition,
    ( spl0_95
  <=> c1_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f659,plain,
    ( spl0_95
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f123,f355,f657]) ).

fof(f662,definition,
    ( spl0_96
  <=> c0_1(a2001) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f665,plain,
    ( ~ spl0_96
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f125,f259,f662]) ).

fof(f667,definition,
    ( spl0_97
  <=> c3_1(a2001) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f668,plain,
    ( c3_1(a2001)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( spl0_97
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f126,f259,f667]) ).

fof(f671,definition,
    ( spl0_98
  <=> c2_1(a2001) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f673,plain,
    ( spl0_98
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f127,f259,f671]) ).

fof(f676,definition,
    ( spl0_99
  <=> c3_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c3_1(a2000)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( ~ spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f246,f676]) ).

fof(f681,definition,
    ( spl0_100
  <=> c1_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f246,f681]) ).

fof(f685,definition,
    ( spl0_101
  <=> c0_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ c0_1(a2000)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( ~ spl0_101
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f246,f685]) ).

fof(f688,plain,
    ( spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f246,f296]) ).

fof(f690,definition,
    ( spl0_102
  <=> c0_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ c0_1(a1998)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f693,plain,
    ( ~ spl0_102
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f133,f313,f690]) ).

fof(f695,definition,
    ( spl0_103
  <=> c3_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f696,plain,
    ( c3_1(a1998)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f697,plain,
    ( spl0_103
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f134,f313,f695]) ).

fof(f699,definition,
    ( spl0_104
  <=> c1_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f701,plain,
    ( spl0_104
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f135,f313,f699]) ).

fof(f704,definition,
    ( spl0_105
  <=> c2_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f707,plain,
    ( ~ spl0_105
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f137,f252,f704]) ).

fof(f709,definition,
    ( spl0_106
  <=> c3_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f710,plain,
    ( c3_1(a1996)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( spl0_106
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f252,f709]) ).

fof(f713,definition,
    ( spl0_107
  <=> c0_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f714,plain,
    ( c0_1(a1996)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f715,plain,
    ( spl0_107
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f252,f713]) ).

fof(f716,plain,
    ( spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f252,f296]) ).

fof(f718,definition,
    ( spl0_108
  <=> c1_1(a1993) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f721,plain,
    ( ~ spl0_108
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f141,f256,f718]) ).

fof(f723,definition,
    ( spl0_109
  <=> c0_1(a1993) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ c0_1(a1993)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f725,plain,
    ( ~ spl0_109
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f142,f256,f723]) ).

fof(f727,definition,
    ( spl0_110
  <=> c2_1(a1993) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f729,plain,
    ( spl0_110
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f143,f256,f727]) ).

fof(f732,definition,
    ( spl0_111
  <=> c2_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_111
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f145,f328,f732]) ).

fof(f737,definition,
    ( spl0_112
  <=> c0_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f738,plain,
    ( ~ c0_1(a1992)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f739,plain,
    ( ~ spl0_112
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f146,f328,f737]) ).

fof(f741,definition,
    ( spl0_113
  <=> c1_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f743,plain,
    ( spl0_113
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f147,f328,f741]) ).

fof(f746,definition,
    ( spl0_114
  <=> c3_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ c3_1(a1991)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,plain,
    ( ~ spl0_114
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f149,f418,f746]) ).

fof(f751,definition,
    ( spl0_115
  <=> c2_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f753,plain,
    ( spl0_115
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f150,f418,f751]) ).

fof(f755,definition,
    ( spl0_116
  <=> c0_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f757,plain,
    ( spl0_116
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f151,f418,f755]) ).

fof(f760,definition,
    ( spl0_117
  <=> c2_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ spl0_117
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f153,f345,f760]) ).

fof(f765,definition,
    ( spl0_118
  <=> c1_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ spl0_118
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f154,f345,f765]) ).

fof(f769,definition,
    ( spl0_119
  <=> c3_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f770,plain,
    ( c3_1(a1990)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f771,plain,
    ( spl0_119
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f155,f345,f769]) ).

fof(f774,definition,
    ( spl0_120
  <=> c3_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ c3_1(a1989)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f777,plain,
    ( ~ spl0_120
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f157,f290,f774]) ).

fof(f779,definition,
    ( spl0_121
  <=> c0_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ spl0_121
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f158,f290,f779]) ).

fof(f783,definition,
    ( spl0_122
  <=> c2_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f785,plain,
    ( spl0_122
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f159,f290,f783]) ).

fof(f788,definition,
    ( spl0_123
  <=> c1_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ spl0_123
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f161,f325,f788]) ).

fof(f793,definition,
    ( spl0_124
  <=> c3_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f794,plain,
    ( c3_1(a1987)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f795,plain,
    ( spl0_124
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f162,f325,f793]) ).

fof(f797,definition,
    ( spl0_125
  <=> c2_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_125
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f163,f325,f797]) ).

fof(f816,definition,
    ( spl0_129
  <=> c1_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ spl0_129
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f169,f273,f816]) ).

fof(f821,definition,
    ( spl0_130
  <=> c0_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ spl0_130
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f170,f273,f821]) ).

fof(f825,definition,
    ( spl0_131
  <=> c3_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f826,plain,
    ( c3_1(a1983)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f827,plain,
    ( spl0_131
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f171,f273,f825]) ).

fof(f844,definition,
    ( spl0_135
  <=> c2_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ spl0_135
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f177,f263,f844]) ).

fof(f849,definition,
    ( spl0_136
  <=> c0_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ spl0_136
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f263,f849]) ).

fof(f853,definition,
    ( spl0_137
  <=> c3_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f854,plain,
    ( c3_1(a1979)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f855,plain,
    ( spl0_137
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f179,f263,f853]) ).

fof(f858,definition,
    ( spl0_138
  <=> c3_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f859,plain,
    ( ~ c3_1(a1977)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f861,plain,
    ( ~ spl0_138
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f181,f276,f858]) ).

fof(f863,definition,
    ( spl0_139
  <=> c2_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ spl0_139
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f182,f276,f863]) ).

fof(f867,definition,
    ( spl0_140
  <=> c1_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f869,plain,
    ( spl0_140
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f183,f276,f867]) ).

fof(f872,definition,
    ( spl0_141
  <=> c2_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ spl0_141
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f185,f293,f872]) ).

fof(f877,definition,
    ( spl0_142
  <=> c1_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ spl0_142
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f186,f293,f877]) ).

fof(f881,definition,
    ( spl0_143
  <=> c0_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f882,plain,
    ( c0_1(a1975)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f883,plain,
    ( spl0_143
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f187,f293,f881]) ).

fof(f886,definition,
    ( spl0_144
  <=> c0_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f887,plain,
    ( ~ c0_1(a1974)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( ~ spl0_144
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f189,f320,f886]) ).

fof(f891,definition,
    ( spl0_145
  <=> c2_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f893,plain,
    ( spl0_145
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f190,f320,f891]) ).

fof(f895,definition,
    ( spl0_146
  <=> c1_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f897,plain,
    ( spl0_146
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f191,f320,f895]) ).

fof(f900,definition,
    ( spl0_147
  <=> c2_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f903,plain,
    ( ~ spl0_147
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f193,f397,f900]) ).

fof(f905,definition,
    ( spl0_148
  <=> c3_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f906,plain,
    ( c3_1(a1973)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f907,plain,
    ( spl0_148
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f194,f397,f905]) ).

fof(f909,definition,
    ( spl0_149
  <=> c1_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_149
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f195,f397,f909]) ).

fof(f914,definition,
    ( spl0_150
  <=> c1_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ spl0_150
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f197,f283,f914]) ).

fof(f919,definition,
    ( spl0_151
  <=> c2_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_151
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f198,f283,f919]) ).

fof(f923,definition,
    ( spl0_152
  <=> c0_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f924,plain,
    ( c0_1(a1971)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f925,plain,
    ( spl0_152
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f199,f283,f923]) ).

fof(f942,plain,
    ( ~ c1_1(a2001)
    | ~ c2_1(a2001)
    | ~ spl0_17
    | ~ spl0_97 ),
    inference(resolution,[],[f300,f668]) ).

fof(f945,definition,
    ( spl0_156
  <=> c1_1(a2001) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f950,definition,
    ( spl0_157
  <=> c1_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f985,plain,
    ( c2_1(a1996)
    | ~ c1_1(a1996)
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(resolution,[],[f710,f352]) ).

fof(f988,definition,
    ( spl0_159
  <=> c1_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ spl0_159
    | spl0_105
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f985,f709,f351,f704,f988]) ).

fof(f1001,definition,
    ( spl0_160
  <=> c1_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1009,definition,
    ( spl0_161
  <=> c0_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ c0_1(a2003)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1021,plain,
    ( ~ c1_1(a2012)
    | c2_1(a2012)
    | ~ spl0_36
    | spl0_87 ),
    inference(resolution,[],[f371,f621]) ).

fof(f1026,definition,
    ( spl0_162
  <=> c1_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1030,plain,
    ( spl0_88
    | ~ spl0_160
    | ~ spl0_36
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1021,f620,f370,f1001,f625]) ).

fof(f1034,plain,
    ( ~ c0_1(a2012)
    | c2_1(a2012)
    | ~ spl0_37
    | spl0_87 ),
    inference(resolution,[],[f375,f621]) ).

fof(f1036,plain,
    ( spl0_88
    | ~ spl0_89
    | ~ spl0_37
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1034,f620,f374,f629,f625]) ).

fof(f1039,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(resolution,[],[f379,f339]) ).

fof(f1043,plain,
    ( c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(resolution,[],[f379,f508]) ).

fof(f1044,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1039]) ).

fof(f1046,plain,
    ( ~ spl0_64
    | spl0_157
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1043,f507,f378,f950,f512]) ).

fof(f1049,plain,
    ( spl0_40
    | ~ spl0_28
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1044,f378,f338,f388]) ).

fof(f1068,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_39 ),
    inference(resolution,[],[f384,f339]) ).

fof(f1070,plain,
    ( c1_1(a1996)
    | ~ c0_1(a1996)
    | ~ spl0_39
    | ~ spl0_106 ),
    inference(resolution,[],[f384,f710]) ).

fof(f1072,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1068]) ).

fof(f1082,plain,
    ( spl0_40
    | ~ spl0_28
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1072,f383,f338,f388]) ).

fof(f1087,plain,
    ( ~ c2_1(a2005)
    | c1_1(a2005)
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(resolution,[],[f389,f517]) ).

fof(f1088,plain,
    ( spl0_157
    | ~ spl0_64
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1087,f516,f388,f512,f950]) ).

fof(f1092,plain,
    ( ~ c2_1(a2009)
    | c1_1(a2009)
    | ~ spl0_41
    | spl0_90 ),
    inference(resolution,[],[f393,f635]) ).

fof(f1102,definition,
    ( spl0_165
  <=> c2_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1109,plain,
    ( c1_1(a1990)
    | c2_1(a1990)
    | ~ spl0_43
    | ~ spl0_119 ),
    inference(resolution,[],[f401,f770]) ).

fof(f1116,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_43
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1109,f769,f400,f765,f760]) ).

fof(f1119,definition,
    ( spl0_166
  <=> c1_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1122,plain,
    ( c1_1(a1987)
    | ~ c2_1(a1987)
    | ~ spl0_38
    | ~ spl0_124 ),
    inference(resolution,[],[f794,f379]) ).

fof(f1125,plain,
    ( ~ spl0_125
    | spl0_123
    | ~ spl0_38
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1122,f793,f378,f788,f797]) ).

fof(f1126,plain,
    ( ~ c2_1(a1971)
    | c1_1(a1971)
    | ~ spl0_40
    | ~ spl0_152 ),
    inference(resolution,[],[f924,f389]) ).

fof(f1142,definition,
    ( spl0_167
  <=> c0_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1148,plain,
    ( c1_1(a2012)
    | c2_1(a2012)
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(resolution,[],[f407,f630]) ).

fof(f1151,plain,
    ( spl0_88
    | spl0_160
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1148,f629,f406,f1001,f625]) ).

fof(f1154,plain,
    ( c2_1(a1979)
    | ~ c1_1(a1979)
    | ~ spl0_31
    | ~ spl0_137 ),
    inference(resolution,[],[f352,f854]) ).

fof(f1157,plain,
    ( c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(resolution,[],[f352,f696]) ).

fof(f1161,plain,
    ( ~ spl0_104
    | spl0_165
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1157,f695,f351,f1102,f699]) ).

fof(f1163,plain,
    ( ~ spl0_166
    | spl0_135
    | ~ spl0_31
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1154,f853,f351,f844,f1119]) ).

fof(f1196,plain,
    ( spl0_150
    | ~ spl0_151
    | ~ spl0_40
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1126,f923,f388,f919,f914]) ).

fof(f1224,plain,
    ( ~ c1_1(a1977)
    | c2_1(a1977)
    | ~ spl0_36
    | spl0_138 ),
    inference(resolution,[],[f371,f859]) ).

fof(f1232,plain,
    ( c0_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_47
    | ~ spl0_131 ),
    inference(resolution,[],[f826,f422]) ).

fof(f1234,plain,
    ( c1_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_38
    | ~ spl0_131 ),
    inference(resolution,[],[f826,f379]) ).

fof(f1236,definition,
    ( spl0_168
  <=> c2_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1239,plain,
    ( ~ spl0_168
    | spl0_129
    | ~ spl0_38
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1234,f825,f378,f816,f1236]) ).

fof(f1244,plain,
    ( c1_1(a1979)
    | c2_1(a1979)
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(resolution,[],[f401,f854]) ).

fof(f1245,plain,
    ( c1_1(a1983)
    | c2_1(a1983)
    | ~ spl0_43
    | ~ spl0_131 ),
    inference(resolution,[],[f401,f826]) ).

fof(f1250,plain,
    ( spl0_168
    | spl0_129
    | ~ spl0_43
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1245,f825,f400,f816,f1236]) ).

fof(f1251,plain,
    ( spl0_135
    | spl0_166
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1244,f853,f400,f1119,f844]) ).

fof(f1256,plain,
    ( c0_1(a1998)
    | ~ c2_1(a1998)
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(resolution,[],[f696,f422]) ).

fof(f1261,plain,
    ( ~ c0_1(a1973)
    | ~ c1_1(a1973)
    | ~ spl0_20
    | ~ spl0_148 ),
    inference(resolution,[],[f906,f310]) ).

fof(f1265,definition,
    ( spl0_169
  <=> c0_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1274,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(resolution,[],[f428,f371]) ).

fof(f1276,plain,
    ( c0_1(a1979)
    | ~ c1_1(a1979)
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(resolution,[],[f428,f854]) ).

fof(f1279,plain,
    ( c0_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(resolution,[],[f428,f696]) ).

fof(f1280,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1274]) ).

fof(f1286,plain,
    ( spl0_55
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1280,f427,f370,f467]) ).

fof(f1289,definition,
    ( spl0_170
  <=> c2_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1346,definition,
    ( spl0_172
  <=> c0_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1349,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(resolution,[],[f445,f422]) ).

fof(f1353,plain,
    ( ~ c1_1(a1977)
    | c0_1(a1977)
    | ~ spl0_51
    | spl0_138 ),
    inference(resolution,[],[f445,f859]) ).

fof(f1357,plain,
    ( ~ c1_1(a2003)
    | c0_1(a2003)
    | ~ spl0_51
    | spl0_93 ),
    inference(resolution,[],[f445,f649]) ).

fof(f1361,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1349]) ).

fof(f1370,plain,
    ( spl0_49
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1361,f444,f421,f433]) ).

fof(f1379,plain,
    ( ~ c2_1(a1974)
    | ~ c1_1(a1974)
    | ~ spl0_49
    | spl0_144 ),
    inference(resolution,[],[f434,f887]) ).

fof(f1386,plain,
    ( ~ c2_1(a1998)
    | ~ c1_1(a1998)
    | ~ spl0_49
    | spl0_102 ),
    inference(resolution,[],[f434,f691]) ).

fof(f1397,plain,
    ( ~ spl0_104
    | ~ spl0_165
    | ~ spl0_49
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1386,f690,f433,f1102,f699]) ).

fof(f1400,plain,
    ( ~ spl0_146
    | ~ spl0_145
    | ~ spl0_49
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1379,f886,f433,f891,f895]) ).

fof(f1402,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_36
    | ~ spl0_53 ),
    inference(resolution,[],[f453,f371]) ).

fof(f1403,plain,
    ( c0_1(a1973)
    | c2_1(a1973)
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(resolution,[],[f453,f906]) ).

fof(f1404,plain,
    ( c0_1(a1979)
    | c2_1(a1979)
    | ~ spl0_53
    | ~ spl0_137 ),
    inference(resolution,[],[f453,f854]) ).

fof(f1405,plain,
    ( c0_1(a1983)
    | c2_1(a1983)
    | ~ spl0_53
    | ~ spl0_131 ),
    inference(resolution,[],[f453,f826]) ).

fof(f1407,plain,
    ( c0_1(a1998)
    | c2_1(a1998)
    | ~ spl0_53
    | ~ spl0_103 ),
    inference(resolution,[],[f453,f696]) ).

fof(f1408,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_36
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1402]) ).

fof(f1419,plain,
    ( spl0_55
    | ~ spl0_36
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1408,f452,f370,f467]) ).

fof(f1423,plain,
    ( ~ c2_1(a1978)
    | ~ c1_1(a1978)
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(resolution,[],[f532,f317]) ).

fof(f1436,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_41
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1092,f634,f392,f643,f639]) ).

fof(f1459,definition,
    ( spl0_174
  <=> c2_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1463,plain,
    ( ~ c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(resolution,[],[f546,f317]) ).

fof(f1486,plain,
    ( ~ c2_1(a1991)
    | ~ c0_1(a1991)
    | ~ spl0_28
    | spl0_114 ),
    inference(resolution,[],[f339,f747]) ).

fof(f1493,plain,
    ( ~ spl0_116
    | ~ spl0_115
    | ~ spl0_28
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1486,f746,f338,f751,f755]) ).

fof(f1495,plain,
    ( c2_1(a1973)
    | ~ c1_1(a1973)
    | ~ spl0_31
    | ~ spl0_148 ),
    inference(resolution,[],[f352,f906]) ).

fof(f1499,plain,
    ( c2_1(a1972)
    | ~ c1_1(a1972)
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(resolution,[],[f352,f537]) ).

fof(f1501,plain,
    ( ~ spl0_70
    | spl0_174
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1499,f536,f351,f1459,f541]) ).

fof(f1502,plain,
    ( ~ spl0_149
    | spl0_147
    | ~ spl0_31
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1495,f905,f351,f900,f909]) ).

fof(f1524,plain,
    ( ~ c1_1(a2012)
    | c2_1(a2012)
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(resolution,[],[f360,f630]) ).

fof(f1525,plain,
    ( ~ c1_1(a2014)
    | c2_1(a2014)
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(resolution,[],[f360,f616]) ).

fof(f1530,plain,
    ( spl0_84
    | ~ spl0_85
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1525,f615,f359,f611,f606]) ).

fof(f1531,plain,
    ( spl0_88
    | ~ spl0_160
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1524,f629,f359,f1001,f625]) ).

fof(f1539,plain,
    ( ~ c1_1(a1977)
    | ~ c0_1(a1977)
    | ~ spl0_35
    | spl0_138 ),
    inference(resolution,[],[f368,f859]) ).

fof(f1545,plain,
    ( ~ c1_1(a2012)
    | ~ c0_1(a2012)
    | ~ spl0_35
    | spl0_87 ),
    inference(resolution,[],[f368,f621]) ).

fof(f1547,plain,
    ( ~ spl0_89
    | ~ spl0_160
    | ~ spl0_35
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1545,f620,f367,f1001,f629]) ).

fof(f1550,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(resolution,[],[f393,f422]) ).

fof(f1555,plain,
    ( ~ c2_1(a2000)
    | c1_1(a2000)
    | ~ spl0_41
    | spl0_99 ),
    inference(resolution,[],[f393,f677]) ).

fof(f1560,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1550]) ).

fof(f1563,plain,
    ( spl0_100
    | ~ spl0_170
    | ~ spl0_41
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1555,f676,f392,f1289,f681]) ).

fof(f1565,plain,
    ( spl0_60
    | ~ spl0_41
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1560,f421,f392,f488]) ).

fof(f1578,plain,
    ( c1_1(a1975)
    | c2_1(a1975)
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(resolution,[],[f407,f882]) ).

fof(f1591,plain,
    ( c1_1(a2000)
    | c2_1(a2000)
    | ~ spl0_45
    | spl0_99 ),
    inference(resolution,[],[f414,f677]) ).

fof(f1594,plain,
    ( c1_1(a2012)
    | c2_1(a2012)
    | ~ spl0_45
    | spl0_87 ),
    inference(resolution,[],[f414,f621]) ).

fof(f1595,plain,
    ( c1_1(a2041)
    | c2_1(a2041)
    | ~ spl0_45
    | spl0_78 ),
    inference(resolution,[],[f414,f579]) ).

fof(f1598,plain,
    ( spl0_88
    | spl0_160
    | ~ spl0_45
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1594,f620,f413,f1001,f625]) ).

fof(f1609,plain,
    ( ~ spl0_107
    | spl0_159
    | ~ spl0_39
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1070,f709,f383,f988,f713]) ).

fof(f1613,plain,
    ( c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_43
    | ~ spl0_106 ),
    inference(resolution,[],[f710,f401]) ).

fof(f1614,plain,
    ( spl0_105
    | spl0_159
    | ~ spl0_43
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1613,f709,f400,f988,f704]) ).

fof(f1617,plain,
    ( ~ c0_1(a1996)
    | ~ c1_1(a1996)
    | ~ spl0_20
    | ~ spl0_106 ),
    inference(resolution,[],[f310,f710]) ).

fof(f1619,plain,
    ( ~ c0_1(a1970)
    | ~ c1_1(a1970)
    | ~ spl0_20
    | ~ spl0_72 ),
    inference(resolution,[],[f310,f551]) ).

fof(f1621,plain,
    ( ~ spl0_74
    | ~ spl0_167
    | ~ spl0_20
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1619,f550,f309,f1142,f559]) ).

fof(f1624,plain,
    ( ~ spl0_159
    | ~ spl0_107
    | ~ spl0_20
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1617,f709,f309,f713,f988]) ).

fof(f1638,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_39
    | ~ spl0_41 ),
    inference(resolution,[],[f384,f393]) ).

fof(f1641,plain,
    ( c1_1(a2049)
    | ~ c0_1(a2049)
    | ~ spl0_39
    | ~ spl0_76 ),
    inference(resolution,[],[f384,f570]) ).

fof(f1644,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_39
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1638]) ).

fof(f1646,plain,
    ( spl0_40
    | ~ spl0_39
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1644,f392,f383,f388]) ).

fof(f1665,plain,
    ( ~ spl0_98
    | ~ spl0_156
    | ~ spl0_17
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f942,f667,f299,f945,f671]) ).

fof(f1668,plain,
    ( spl0_141
    | spl0_142
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1578,f881,f406,f877,f872]) ).

fof(f1674,plain,
    ( ~ c0_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_20
    | ~ spl0_63 ),
    inference(resolution,[],[f508,f310]) ).

fof(f1677,plain,
    ( ~ spl0_157
    | ~ spl0_65
    | ~ spl0_20
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1674,f507,f309,f516,f950]) ).

fof(f1680,plain,
    ( ~ c2_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(resolution,[],[f517,f317]) ).

fof(f1690,plain,
    ( ~ c1_1(a1970)
    | ~ c2_1(a1970)
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(resolution,[],[f300,f551]) ).

fof(f1691,plain,
    ( ~ c1_1(a2005)
    | ~ c2_1(a2005)
    | ~ spl0_17
    | ~ spl0_63 ),
    inference(resolution,[],[f300,f508]) ).

fof(f1694,plain,
    ( ~ spl0_64
    | ~ spl0_157
    | ~ spl0_17
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1691,f507,f299,f950,f512]) ).

fof(f1695,plain,
    ( ~ spl0_73
    | ~ spl0_74
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1690,f550,f299,f559,f555]) ).

fof(f1705,plain,
    ( ~ c2_1(a2003)
    | ~ c0_1(a2003)
    | ~ spl0_28
    | spl0_93 ),
    inference(resolution,[],[f339,f649]) ).

fof(f1732,plain,
    ( ~ c1_1(a1992)
    | c2_1(a1992)
    | ~ spl0_55
    | spl0_112 ),
    inference(resolution,[],[f468,f738]) ).

fof(f1741,plain,
    ( ~ c1_1(a2041)
    | c2_1(a2041)
    | ~ spl0_55
    | spl0_80 ),
    inference(resolution,[],[f468,f588]) ).

fof(f1745,plain,
    ( spl0_79
    | ~ spl0_162
    | ~ spl0_55
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1741,f587,f467,f1026,f583]) ).

fof(f1751,plain,
    ( spl0_111
    | ~ spl0_113
    | ~ spl0_55
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1732,f737,f467,f741,f732]) ).

fof(f1764,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_50 ),
    inference(resolution,[],[f439,f300]) ).

fof(f1765,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(resolution,[],[f439,f428]) ).

fof(f1771,plain,
    ( ~ c2_1(a1989)
    | c0_1(a1989)
    | ~ spl0_50
    | spl0_120 ),
    inference(resolution,[],[f439,f775]) ).

fof(f1772,plain,
    ( ~ c2_1(a2000)
    | c0_1(a2000)
    | ~ spl0_50
    | spl0_99 ),
    inference(resolution,[],[f439,f677]) ).

fof(f1773,plain,
    ( ~ c2_1(a2003)
    | c0_1(a2003)
    | ~ spl0_50
    | spl0_93 ),
    inference(resolution,[],[f439,f649]) ).

fof(f1775,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1765]) ).

fof(f1776,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1764]) ).

fof(f1779,plain,
    ( spl0_161
    | ~ spl0_94
    | ~ spl0_50
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1773,f648,f438,f653,f1009]) ).

fof(f1781,plain,
    ( spl0_101
    | ~ spl0_170
    | ~ spl0_50
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1772,f676,f438,f1289,f685]) ).

fof(f1782,plain,
    ( spl0_121
    | ~ spl0_122
    | ~ spl0_50
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1771,f774,f438,f783,f779]) ).

fof(f1785,plain,
    ( spl0_49
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1775,f438,f427,f433]) ).

fof(f1786,plain,
    ( spl0_49
    | ~ spl0_17
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1776,f438,f299,f433]) ).

fof(f1814,plain,
    ( c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f714,f407]) ).

fof(f1815,plain,
    ( ~ c1_1(a1996)
    | c2_1(a1996)
    | ~ spl0_33
    | ~ spl0_107 ),
    inference(resolution,[],[f714,f360]) ).

fof(f1817,plain,
    ( spl0_105
    | ~ spl0_159
    | ~ spl0_33
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1815,f713,f359,f988,f704]) ).

fof(f1819,plain,
    ( spl0_105
    | spl0_159
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1814,f713,f406,f988,f704]) ).

fof(f1836,plain,
    ( c0_1(a2001)
    | ~ c2_1(a2001)
    | ~ spl0_47
    | ~ spl0_97 ),
    inference(resolution,[],[f422,f668]) ).

fof(f1838,plain,
    ( c0_1(a1970)
    | ~ c2_1(a1970)
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(resolution,[],[f422,f551]) ).

fof(f1853,plain,
    ( ~ c2_1(a2003)
    | ~ c1_1(a2003)
    | ~ spl0_49
    | spl0_161 ),
    inference(resolution,[],[f434,f1010]) ).

fof(f1857,plain,
    ( ~ spl0_95
    | ~ spl0_94
    | ~ spl0_49
    | spl0_161 ),
    inference(avatar_split_clause,[],[f1853,f1009,f433,f653,f657]) ).

fof(f1865,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_57 ),
    inference(resolution,[],[f476,f428]) ).

fof(f1871,plain,
    ( c0_1(a2000)
    | c2_1(a2000)
    | ~ spl0_57
    | spl0_99 ),
    inference(resolution,[],[f476,f677]) ).

fof(f1873,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1865]) ).

fof(f1888,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(resolution,[],[f484,f393]) ).

fof(f1891,plain,
    ( c0_1(a2001)
    | c1_1(a2001)
    | ~ spl0_59
    | ~ spl0_97 ),
    inference(resolution,[],[f484,f668]) ).

fof(f1895,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1888]) ).

fof(f1898,plain,
    ( spl0_156
    | spl0_96
    | ~ spl0_59
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1891,f667,f483,f662,f945]) ).

fof(f1900,plain,
    ( spl0_60
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1895,f483,f392,f488]) ).

fof(f1907,plain,
    ( ~ c2_1(a1993)
    | c1_1(a1993)
    | ~ spl0_60
    | spl0_109 ),
    inference(resolution,[],[f489,f724]) ).

fof(f1908,plain,
    ( ~ c2_1(a2000)
    | c1_1(a2000)
    | ~ spl0_60
    | spl0_101 ),
    inference(resolution,[],[f489,f686]) ).

fof(f1914,plain,
    ( spl0_100
    | ~ spl0_170
    | ~ spl0_60
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1908,f685,f488,f1289,f681]) ).

fof(f1917,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_60
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1907,f723,f488,f727,f718]) ).

fof(f1923,plain,
    ( spl0_139
    | ~ spl0_140
    | ~ spl0_36
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1224,f858,f370,f867,f863]) ).

fof(f1930,plain,
    ( ~ spl0_77
    | spl0_75
    | ~ spl0_39
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1641,f569,f383,f564,f573]) ).

fof(f1932,plain,
    ( spl0_172
    | ~ spl0_140
    | ~ spl0_51
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1353,f858,f444,f867,f1346]) ).

fof(f1934,plain,
    ( spl0_161
    | ~ spl0_95
    | ~ spl0_51
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1357,f648,f444,f657,f1009]) ).

fof(f1938,plain,
    ( spl0_170
    | spl0_101
    | ~ spl0_57
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1871,f676,f475,f685,f1289]) ).

fof(f1947,plain,
    ( ~ spl0_149
    | ~ spl0_169
    | ~ spl0_20
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1261,f905,f309,f1265,f909]) ).

fof(f1960,plain,
    ( c0_1(a1983)
    | c1_1(a1983)
    | ~ spl0_59
    | ~ spl0_131 ),
    inference(resolution,[],[f826,f484]) ).

fof(f1961,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_59
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1960,f825,f483,f821,f816]) ).

fof(f1967,plain,
    ( ~ spl0_67
    | ~ spl0_66
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1423,f531,f316,f522,f527]) ).

fof(f1968,plain,
    ( ~ spl0_70
    | ~ spl0_174
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1463,f545,f316,f1459,f541]) ).

fof(f1971,plain,
    ( ~ spl0_157
    | ~ spl0_64
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1680,f516,f316,f512,f950]) ).

fof(f1982,plain,
    ( ~ spl0_161
    | ~ spl0_94
    | ~ spl0_28
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1705,f648,f338,f653,f1009]) ).

fof(f1992,plain,
    ( ~ spl0_172
    | ~ spl0_140
    | ~ spl0_35
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1539,f858,f367,f867,f1346]) ).

fof(f1997,plain,
    ( spl0_79
    | spl0_162
    | ~ spl0_45
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1595,f578,f413,f1026,f583]) ).

fof(f2000,plain,
    ( spl0_170
    | spl0_100
    | ~ spl0_45
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1591,f676,f413,f681,f1289]) ).

fof(f2006,plain,
    ( ~ spl0_168
    | spl0_130
    | ~ spl0_47
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1232,f825,f421,f821,f1236]) ).

fof(f2007,plain,
    ( ~ spl0_165
    | spl0_102
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1256,f695,f421,f690,f1102]) ).

fof(f2009,plain,
    ( ~ spl0_98
    | spl0_96
    | ~ spl0_47
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1836,f667,f421,f662,f671]) ).

fof(f2011,plain,
    ( ~ spl0_73
    | spl0_167
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1838,f550,f421,f1142,f555]) ).

fof(f2013,plain,
    ( ~ spl0_166
    | spl0_136
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1276,f853,f427,f849,f1119]) ).

fof(f2014,plain,
    ( ~ spl0_104
    | spl0_102
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1279,f695,f427,f690,f699]) ).

fof(f2015,plain,
    ( spl0_55
    | ~ spl0_48
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1873,f475,f427,f467]) ).

fof(f2019,plain,
    ( spl0_147
    | spl0_169
    | ~ spl0_53
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1403,f905,f452,f1265,f900]) ).

fof(f2020,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_53
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1404,f853,f452,f849,f844]) ).

fof(f2021,plain,
    ( spl0_168
    | spl0_130
    | ~ spl0_53
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1405,f825,f452,f821,f1236]) ).

fof(f2022,plain,
    ( spl0_165
    | spl0_102
    | ~ spl0_53
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1407,f695,f452,f690,f1102]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s4,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s6,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s7,plain,
    ( ~ spl0_16
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s8,plain,
    ( ~ spl0_16
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s14,plain,
    ( spl0_15
    | ~ spl0_16
    | spl0_21
    | spl0_28 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s15,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_24
    | spl0_28 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s16,plain,
    ( spl0_14
    | ~ spl0_16
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s17,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s19,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s20,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s21,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_16
    | spl0_37 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s24,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_16
    | spl0_39 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s25,plain,
    ( spl0_4
    | spl0_8
    | ~ spl0_16
    | spl0_39 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s27,plain,
    ( ~ spl0_16
    | spl0_21
    | spl0_23
    | spl0_41 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s28,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_16
    | spl0_41 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s29,plain,
    ( ~ spl0_16
    | spl0_34
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s30,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_24
    | spl0_43 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s31,plain,
    ( spl0_2
    | ~ spl0_16
    | spl0_36
    | spl0_43 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s33,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_16
    | spl0_44 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s34,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_38
    | spl0_44 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s35,plain,
    ( ~ spl0_16
    | spl0_38
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s36,plain,
    ( ~ spl0_16
    | spl0_30
    | spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s37,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_41
    | spl0_45 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s38,plain,
    ( ~ spl0_16
    | spl0_32
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s39,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_47 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s41,plain,
    ( spl0_1
    | spl0_15
    | ~ spl0_16
    | spl0_48 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s42,plain,
    ( ~ spl0_16
    | spl0_21
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s43,plain,
    ( spl0_3
    | ~ spl0_16
    | spl0_20
    | spl0_48 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s46,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_36
    | spl0_50 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s47,plain,
    ( ~ spl0_16
    | spl0_25
    | spl0_39
    | spl0_50 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s48,plain,
    ( ~ spl0_16
    | spl0_46
    | spl0_48
    | spl0_50 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s49,plain,
    ( ~ spl0_16
    | spl0_22
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s50,plain,
    ( ~ spl0_16
    | spl0_30
    | spl0_48
    | spl0_51 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s53,plain,
    ( spl0_9
    | ~ spl0_16
    | spl0_40
    | spl0_53 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s54,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_41
    | spl0_53 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s55,plain,
    ( ~ spl0_16
    | spl0_36
    | spl0_43
    | spl0_53 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s56,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_44
    | spl0_53 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s59,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s60,plain,
    ( spl0_9
    | spl0_13
    | ~ spl0_16
    | spl0_55 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s62,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_57 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s64,plain,
    ( spl0_6
    | ~ spl0_16
    | spl0_54
    | spl0_59 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s65,plain,
    ( spl0_10
    | ~ spl0_16
    | spl0_28
    | spl0_59 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s66,plain,
    ( spl0_7
    | spl0_15
    | ~ spl0_16
    | spl0_60 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s67,plain,
    ( ~ spl0_16
    | spl0_23
    | spl0_33
    | spl0_60 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s68,plain,
    ( ~ spl0_16
    | spl0_42
    | spl0_45
    | spl0_60 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s76,plain,
    ( ~ spl0_8
    | spl0_63 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s77,plain,
    ( ~ spl0_8
    | spl0_64 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s78,plain,
    ( ~ spl0_8
    | spl0_65 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s80,plain,
    ( ~ spl0_54
    | spl0_66 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s81,plain,
    ( ~ spl0_54
    | spl0_67 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s82,plain,
    ( ~ spl0_54
    | spl0_68 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s84,plain,
    ( ~ spl0_13
    | spl0_69 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s85,plain,
    ( ~ spl0_13
    | spl0_70 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s86,plain,
    ( ~ spl0_13
    | spl0_71 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s88,plain,
    ( ~ spl0_7
    | spl0_72 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s89,plain,
    ( ~ spl0_7
    | spl0_73 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s90,plain,
    ( ~ spl0_7
    | spl0_74 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s92,plain,
    ( ~ spl0_19
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s93,plain,
    ( ~ spl0_19
    | spl0_76 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s94,plain,
    ( ~ spl0_19
    | spl0_77 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s96,plain,
    ( ~ spl0_18
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s97,plain,
    ( ~ spl0_18
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s98,plain,
    ( ~ spl0_18
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s104,plain,
    ( ~ spl0_11
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s105,plain,
    ( ~ spl0_11
    | spl0_85 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s106,plain,
    ( ~ spl0_11
    | spl0_86 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s108,plain,
    ( ~ spl0_34
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s109,plain,
    ( ~ spl0_34
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s110,plain,
    ( ~ spl0_34
    | spl0_89 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s112,plain,
    ( ~ spl0_2
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s113,plain,
    ( ~ spl0_2
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s114,plain,
    ( ~ spl0_2
    | spl0_92 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s115,plain,
    ( ~ spl0_2
    | spl0_16 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s116,plain,
    ( ~ spl0_32
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s117,plain,
    ( ~ spl0_32
    | spl0_94 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s118,plain,
    ( ~ spl0_32
    | spl0_95 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s120,plain,
    ( ~ spl0_5
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s121,plain,
    ( ~ spl0_5
    | spl0_97 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s122,plain,
    ( ~ spl0_5
    | spl0_98 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s124,plain,
    ( ~ spl0_1
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s125,plain,
    ( ~ spl0_1
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s126,plain,
    ( ~ spl0_1
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s127,plain,
    ( ~ spl0_1
    | spl0_16 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s128,plain,
    ( ~ spl0_21
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s129,plain,
    ( ~ spl0_21
    | spl0_103 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s130,plain,
    ( ~ spl0_21
    | spl0_104 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s132,plain,
    ( ~ spl0_3
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | spl0_106 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | spl0_107 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_16 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s136,plain,
    ( ~ spl0_4
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s137,plain,
    ( ~ spl0_4
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s138,plain,
    ( ~ spl0_4
    | spl0_110 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s140,plain,
    ( ~ spl0_25
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s141,plain,
    ( ~ spl0_25
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s142,plain,
    ( ~ spl0_25
    | spl0_113 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s144,plain,
    ( ~ spl0_46
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s145,plain,
    ( ~ spl0_46
    | spl0_115 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s146,plain,
    ( ~ spl0_46
    | spl0_116 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s148,plain,
    ( ~ spl0_30
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s149,plain,
    ( ~ spl0_30
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s150,plain,
    ( ~ spl0_30
    | spl0_119 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s152,plain,
    ( ~ spl0_14
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s153,plain,
    ( ~ spl0_14
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s154,plain,
    ( ~ spl0_14
    | spl0_122 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s156,plain,
    ( ~ spl0_24
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s157,plain,
    ( ~ spl0_24
    | spl0_124 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s158,plain,
    ( ~ spl0_24
    | spl0_125 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s164,plain,
    ( ~ spl0_9
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s165,plain,
    ( ~ spl0_9
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s166,plain,
    ( ~ spl0_9
    | spl0_131 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s172,plain,
    ( ~ spl0_6
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s173,plain,
    ( ~ spl0_6
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s174,plain,
    ( ~ spl0_6
    | spl0_137 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s176,plain,
    ( ~ spl0_10
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s177,plain,
    ( ~ spl0_10
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s178,plain,
    ( ~ spl0_10
    | spl0_140 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s180,plain,
    ( ~ spl0_15
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s181,plain,
    ( ~ spl0_15
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s182,plain,
    ( ~ spl0_15
    | spl0_143 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s184,plain,
    ( ~ spl0_23
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s185,plain,
    ( ~ spl0_23
    | spl0_145 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s186,plain,
    ( ~ spl0_23
    | spl0_146 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s188,plain,
    ( ~ spl0_42
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s189,plain,
    ( ~ spl0_42
    | spl0_148 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s190,plain,
    ( ~ spl0_42
    | spl0_149 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s192,plain,
    ( ~ spl0_12
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s193,plain,
    ( ~ spl0_12
    | spl0_151 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s194,plain,
    ( ~ spl0_12
    | spl0_152 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s206,plain,
    ( ~ spl0_31
    | spl0_105
    | ~ spl0_106
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s213,plain,
    ( ~ spl0_36
    | spl0_87
    | spl0_88
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1030]) ).

cnf(s214,plain,
    ( ~ spl0_37
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1036]) ).

cnf(s215,plain,
    ( ~ spl0_38
    | ~ spl0_63
    | ~ spl0_64
    | spl0_157 ),
    inference(sat_conversion,[],[f1046]) ).

cnf(s217,plain,
    ( ~ spl0_28
    | ~ spl0_38
    | spl0_40 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s225,plain,
    ( ~ spl0_28
    | ~ spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s226,plain,
    ( ~ spl0_40
    | ~ spl0_64
    | ~ spl0_65
    | spl0_157 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s231,plain,
    ( ~ spl0_43
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s233,plain,
    ( ~ spl0_38
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s237,plain,
    ( ~ spl0_44
    | spl0_88
    | ~ spl0_89
    | spl0_160 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s240,plain,
    ( ~ spl0_31
    | ~ spl0_103
    | ~ spl0_104
    | spl0_165 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s241,plain,
    ( ~ spl0_31
    | spl0_135
    | ~ spl0_137
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s253,plain,
    ( ~ spl0_40
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1196]) ).

cnf(s266,plain,
    ( ~ spl0_38
    | spl0_129
    | ~ spl0_131
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s269,plain,
    ( ~ spl0_43
    | spl0_129
    | ~ spl0_131
    | spl0_168 ),
    inference(sat_conversion,[],[f1250]) ).

cnf(s270,plain,
    ( ~ spl0_43
    | spl0_135
    | ~ spl0_137
    | spl0_166 ),
    inference(sat_conversion,[],[f1251]) ).

cnf(s281,plain,
    ( ~ spl0_36
    | ~ spl0_48
    | spl0_55 ),
    inference(sat_conversion,[],[f1286]) ).

cnf(s298,plain,
    ( ~ spl0_47
    | spl0_49
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s306,plain,
    ( ~ spl0_49
    | spl0_102
    | ~ spl0_104
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1397]) ).

cnf(s309,plain,
    ( ~ spl0_49
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1400]) ).

cnf(s315,plain,
    ( ~ spl0_36
    | ~ spl0_53
    | spl0_55 ),
    inference(sat_conversion,[],[f1419]) ).

cnf(s329,plain,
    ( ~ spl0_41
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1436]) ).

cnf(s357,plain,
    ( ~ spl0_28
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1493]) ).

cnf(s359,plain,
    ( ~ spl0_31
    | ~ spl0_69
    | ~ spl0_70
    | spl0_174 ),
    inference(sat_conversion,[],[f1501]) ).

cnf(s360,plain,
    ( ~ spl0_31
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s375,plain,
    ( ~ spl0_33
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s376,plain,
    ( ~ spl0_33
    | spl0_88
    | ~ spl0_89
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s381,plain,
    ( ~ spl0_35
    | spl0_87
    | ~ spl0_89
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1547]) ).

cnf(s384,plain,
    ( ~ spl0_41
    | spl0_99
    | spl0_100
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1563]) ).

cnf(s386,plain,
    ( ~ spl0_41
    | ~ spl0_47
    | spl0_60 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s391,plain,
    ( ~ spl0_45
    | spl0_87
    | spl0_88
    | spl0_160 ),
    inference(sat_conversion,[],[f1598]) ).

cnf(s401,plain,
    ( ~ spl0_39
    | ~ spl0_106
    | ~ spl0_107
    | spl0_159 ),
    inference(sat_conversion,[],[f1609]) ).

cnf(s405,plain,
    ( ~ spl0_43
    | spl0_105
    | ~ spl0_106
    | spl0_159 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s406,plain,
    ( ~ spl0_20
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s408,plain,
    ( ~ spl0_20
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1624]) ).

cnf(s412,plain,
    ( ~ spl0_39
    | spl0_40
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s420,plain,
    ( ~ spl0_17
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1665]) ).

cnf(s423,plain,
    ( ~ spl0_44
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1668]) ).

cnf(s428,plain,
    ( ~ spl0_20
    | ~ spl0_63
    | ~ spl0_65
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s431,plain,
    ( ~ spl0_17
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s432,plain,
    ( ~ spl0_17
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1695]) ).

cnf(s435,plain,
    ( ~ spl0_55
    | spl0_79
    | spl0_80
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s439,plain,
    ( ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1751]) ).

cnf(s450,plain,
    ( ~ spl0_50
    | spl0_93
    | ~ spl0_94
    | spl0_161 ),
    inference(sat_conversion,[],[f1779]) ).

cnf(s451,plain,
    ( ~ spl0_50
    | spl0_99
    | spl0_101
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s452,plain,
    ( ~ spl0_50
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s454,plain,
    ( ~ spl0_48
    | spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s455,plain,
    ( ~ spl0_17
    | spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s480,plain,
    ( ~ spl0_33
    | spl0_105
    | ~ spl0_107
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s482,plain,
    ( ~ spl0_44
    | spl0_105
    | ~ spl0_107
    | spl0_159 ),
    inference(sat_conversion,[],[f1819]) ).

cnf(s488,plain,
    ( ~ spl0_49
    | ~ spl0_94
    | ~ spl0_95
    | spl0_161 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s498,plain,
    ( ~ spl0_59
    | spl0_96
    | ~ spl0_97
    | spl0_156 ),
    inference(sat_conversion,[],[f1898]) ).

cnf(s500,plain,
    ( ~ spl0_41
    | ~ spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s503,plain,
    ( ~ spl0_60
    | spl0_100
    | spl0_101
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s504,plain,
    ( ~ spl0_60
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1917]) ).

cnf(s510,plain,
    ( ~ spl0_36
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1923]) ).

cnf(s517,plain,
    ( ~ spl0_39
    | spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s519,plain,
    ( ~ spl0_51
    | spl0_138
    | ~ spl0_140
    | spl0_172 ),
    inference(sat_conversion,[],[f1932]) ).

cnf(s521,plain,
    ( ~ spl0_51
    | spl0_93
    | ~ spl0_95
    | spl0_161 ),
    inference(sat_conversion,[],[f1934]) ).

cnf(s524,plain,
    ( ~ spl0_57
    | spl0_99
    | spl0_101
    | spl0_170 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s533,plain,
    ( ~ spl0_20
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1947]) ).

cnf(s539,plain,
    ( ~ spl0_59
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s545,plain,
    ( ~ spl0_22
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s546,plain,
    ( ~ spl0_22
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s549,plain,
    ( ~ spl0_22
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s560,plain,
    ( ~ spl0_28
    | spl0_93
    | ~ spl0_94
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s569,plain,
    ( ~ spl0_35
    | spl0_138
    | ~ spl0_140
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1992]) ).

cnf(s574,plain,
    ( ~ spl0_45
    | spl0_78
    | spl0_79
    | spl0_162 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s577,plain,
    ( ~ spl0_45
    | spl0_99
    | spl0_100
    | spl0_170 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s583,plain,
    ( ~ spl0_47
    | spl0_130
    | ~ spl0_131
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s584,plain,
    ( ~ spl0_47
    | spl0_102
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s586,plain,
    ( ~ spl0_47
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s588,plain,
    ( ~ spl0_47
    | ~ spl0_72
    | ~ spl0_73
    | spl0_167 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s590,plain,
    ( ~ spl0_48
    | spl0_136
    | ~ spl0_137
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2013]) ).

cnf(s591,plain,
    ( ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s592,plain,
    ( ~ spl0_48
    | spl0_55
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f2015]) ).

cnf(s596,plain,
    ( ~ spl0_53
    | spl0_147
    | ~ spl0_148
    | spl0_169 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s597,plain,
    ( ~ spl0_53
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2020]) ).

cnf(s598,plain,
    ( ~ spl0_53
    | spl0_130
    | ~ spl0_131
    | spl0_168 ),
    inference(sat_conversion,[],[f2021]) ).

cnf(s599,plain,
    ( ~ spl0_53
    | spl0_102
    | ~ spl0_103
    | spl0_165 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s605,plain,
    ( spl0_43
    | spl0_87
    | spl0_88
    | ~ spl0_89
    | spl0_12
    | spl0_31
    | ~ spl0_16
    | spl0_2 ),
    inference(rat,[],[s34,s237,s233,s213,s156,s157,s158,s31,s30]) ).

cnf(s606,plain,
    ( ~ spl0_160
    | ~ spl0_34
    | spl0_31
    | ~ spl0_16 ),
    inference(rat,[],[s20,s213,s381,s110,s109,s108]) ).

cnf(s607,plain,
    ( spl0_12
    | spl0_31
    | spl0_33
    | ~ spl0_16
    | spl0_2 ),
    inference(rat,[],[s231,s148,s149,s150,s36,s391,s606,s605,s108,s109,s110,s19]) ).

cnf(s608,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | spl0_31
    | ~ spl0_16 ),
    inference(rat,[],[s237,s606,s109,s110]) ).

cnf(s611,plain,
    ( spl0_15
    | spl0_28
    | ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s591,s128,s129,s130,s41,s14]) ).

cnf(s612,plain,
    ( ~ spl0_39
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s423,s180,s181,s182,s611,s34,s233,s156,s157,s158,s15,s225,s253,s192,s193,s194,s607,s206,s480,s408,s401,s135,s134,s133,s132,s1]) ).

cnf(s613,plain,
    ( ~ spl0_159
    | ~ spl0_49
    | spl0_31
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s423,s180,s181,s182,s611,s560,s488,s116,s117,s118,s56,s17,s480,s408,s134,s133,s132,s597,s172,s173,s174,s24,s612,s135,s1]) ).

cnf(s614,plain,
    ( spl0_31
    | ~ spl0_47
    | ~ spl0_8
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s233,s156,s157,s158,s15,s560,s488,s116,s117,s118,s17,s428,s215,s34,s482,s613,s298,s59,s134,s132,s597,s172,s173,s174,s24,s612,s135,s1,s78,s77,s76]) ).

cnf(s615,plain,
    ( ~ spl0_21
    | ~ spl0_31
    | ~ spl0_47 ),
    inference(rat,[],[s584,s240,s128,s129,s130]) ).

cnf(s616,plain,
    ( ~ spl0_47
    | ~ spl0_8
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s35,s215,s226,s549,s8,s615,s482,s206,s614,s135,s134,s133,s132,s1,s78,s77,s76]) ).

cnf(s617,plain,
    ( spl0_31
    | spl0_44
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65
    | spl0_53
    | ~ spl0_16 ),
    inference(rat,[],[s233,s156,s157,s158,s15,s560,s521,s116,s117,s118,s17,s428,s215,s34,s59]) ).

cnf(s618,plain,
    ( ~ spl0_12
    | ~ spl0_40 ),
    inference(rat,[],[s253,s192,s193,s194]) ).

cnf(s619,plain,
    ( ~ spl0_42
    | ~ spl0_31 ),
    inference(rat,[],[s360,s188,s189,s190]) ).

cnf(s620,plain,
    ( ~ spl0_10
    | ~ spl0_36 ),
    inference(rat,[],[s510,s176,s177,s178]) ).

cnf(s621,plain,
    ( ~ spl0_11
    | ~ spl0_33 ),
    inference(rat,[],[s375,s104,s105,s106]) ).

cnf(s622,plain,
    ( ~ spl0_46
    | ~ spl0_28 ),
    inference(rat,[],[s357,s144,s145,s146]) ).

cnf(s623,plain,
    ( spl0_47
    | spl0_39
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_16
    | spl0_2 ),
    inference(rat,[],[s439,s281,s140,s141,s142,s48,s47,s450,s560,s116,s117,s38,s622,s65,s539,s164,s165,s166,s4,s621,s620,s31,s405,s480,s39]) ).

cnf(s624,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s620,s31,s33,s405,s482,s480,s54,s386,s504,s136,s137,s138,s25,s616,s623,s597,s172,s173,s174,s24,s612,s132,s133,s134,s135,s1]) ).

cnf(s625,plain,
    ( spl0_50
    | spl0_46
    | ~ spl0_36
    | spl0_39
    | ~ spl0_16 ),
    inference(rat,[],[s439,s281,s140,s141,s142,s48,s47]) ).

cnf(s626,plain,
    ( ~ spl0_32
    | ~ spl0_50
    | ~ spl0_28 ),
    inference(rat,[],[s450,s560,s116,s117]) ).

cnf(s627,plain,
    ( spl0_159
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s309,s184,s185,s186,s454,s27,s42,s615,s38,s626,s625,s622,s65,s539,s617,s164,s165,s166,s76,s77,s78,s4,s33,s620,s621,s55,s54,s597,s172,s173,s174,s24,s405,s482,s401,s115,s329,s112,s113,s114,s624,s134,s133,s132]) ).

cnf(s628,plain,
    ( ~ spl0_6
    | ~ spl0_53 ),
    inference(rat,[],[s597,s172,s173,s174]) ).

cnf(s629,plain,
    ( spl0_28
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s34,s423,s233,s180,s181,s182,s156,s157,s158,s611,s15,s115,s624,s408,s134,s206,s627,s133,s132]) ).

cnf(s630,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s391,s606,s108,s109,s19,s618,s225,s629,s24,s628,s37,s54,s206,s480,s627,s132,s133,s134,s115,s329,s112,s113,s114,s624]) ).

cnf(s631,plain,
    ( spl0_43
    | spl0_53
    | spl0_44
    | spl0_1 ),
    inference(rat,[],[s504,s136,s137,s138,s68,s21,s391,s214,s376,s108,s109,s110,s29,s619,s617,s76,s77,s78,s33,s620,s55,s630,s54,s115,s329,s112,s113,s114,s624]) ).

cnf(s632,plain,
    ( spl0_10
    | spl0_28
    | spl0_11
    | ~ spl0_16 ),
    inference(rat,[],[s539,s164,s165,s166,s65,s4]) ).

cnf(s633,plain,
    ( ~ spl0_10
    | ~ spl0_51
    | spl0_31
    | ~ spl0_16 ),
    inference(rat,[],[s569,s20,s519,s620,s176,s178]) ).

cnf(s634,plain,
    ( ~ spl0_6
    | spl0_44
    | spl0_1 ),
    inference(rat,[],[s266,s269,s164,s166,s4,s633,s34,s59,s241,s270,s631,s621,s54,s628,s172,s174,s115,s329,s112,s113,s114,s624]) ).

cnf(s635,plain,
    ( ~ spl0_8
    | ~ spl0_40
    | ~ spl0_22 ),
    inference(rat,[],[s226,s549,s77,s78]) ).

cnf(s637,plain,
    ( ~ spl0_5
    | ~ spl0_47 ),
    inference(rat,[],[s586,s120,s121,s122]) ).

cnf(s639,plain,
    ( ~ spl0_25
    | ~ spl0_55 ),
    inference(rat,[],[s439,s140,s141,s142]) ).

cnf(s641,plain,
    ( ~ spl0_13
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(rat,[],[s359,s546,s84,s85,s86]) ).

cnf(s643,plain,
    ( ~ spl0_19
    | ~ spl0_39 ),
    inference(rat,[],[s517,s92,s93,s94]) ).

cnf(s644,plain,
    ( ~ spl0_7
    | spl0_6
    | spl0_1 ),
    inference(rat,[],[s574,s435,s96,s97,s98,s7,s592,s43,s62,s406,s432,s588,s88,s89,s90,s630,s39,s37,s621,s28,s329,s112,s113,s114,s643,s24,s115,s624]) ).

cnf(s645,plain,
    ( spl0_44
    | spl0_1 ),
    inference(rat,[],[s215,s35,s549,s635,s49,s298,s309,s184,s185,s186,s67,s504,s76,s77,s78,s136,s137,s138,s3,s2,s644,s637,s39,s621,s28,s634,s115,s329,s112,s113,s114,s624,s630]) ).

cnf(s646,plain,
    ( ~ spl0_15
    | ~ spl0_44 ),
    inference(rat,[],[s423,s180,s181,s182]) ).

cnf(s647,plain,
    ( ~ spl0_50
    | spl0_1 ),
    inference(rat,[],[s452,s152,s153,s154,s6,s432,s88,s89,s90,s66,s504,s136,s137,s138,s2,s637,s38,s626,s630,s622,s611,s646,s645,s115,s624]) ).

cnf(s648,plain,
    ( spl0_39
    | spl0_1 ),
    inference(rat,[],[s270,s590,s55,s628,s172,s173,s174,s625,s24,s41,s622,s611,s646,s645,s115,s624,s647]) ).

cnf(s650,plain,
    ( ~ spl0_47
    | spl0_1 ),
    inference(rat,[],[s560,s488,s116,s117,s118,s298,s17,s59,s619,s68,s574,s435,s96,s97,s98,s592,s7,s62,s628,s406,s432,s588,s644,s88,s89,s90,s66,s504,s136,s137,s138,s2,s637,s630,s41,s611,s646,s645,s115,s624,s643,s648]) ).

cnf(s651,plain,
    spl0_1,
    inference(rat,[],[s237,s376,s109,s110,s29,s619,s270,s59,s590,s521,s628,s172,s173,s174,s560,s28,s116,s117,s118,s621,s38,s39,s650,s622,s611,s41,s646,s645,s329,s112,s113,s114,s115,s624]) ).

cnf(s652,plain,
    spl0_16,
    inference(rat,[],[s127,s651]) ).

cnf(s653,plain,
    ~ spl0_101,
    inference(rat,[],[s126,s651]) ).

cnf(s654,plain,
    ~ spl0_100,
    inference(rat,[],[s125,s651]) ).

cnf(s655,plain,
    ~ spl0_99,
    inference(rat,[],[s124,s651]) ).

cnf(s656,plain,
    ( ~ spl0_7
    | ~ spl0_45
    | ~ spl0_47
    | spl0_3 ),
    inference(rat,[],[s574,s435,s96,s97,s98,s7,s643,s47,s639,s592,s43,s62,s406,s432,s588,s88,s89,s90,s451,s577,s652,s655,s653,s654]) ).

cnf(s657,plain,
    ( spl0_6
    | ~ spl0_47
    | spl0_44
    | spl0_41
    | spl0_3 ),
    inference(rat,[],[s215,s35,s549,s635,s76,s77,s78,s3,s656,s49,s298,s309,s184,s185,s186,s67,s37,s621,s28,s504,s136,s137,s138,s2,s637,s652]) ).

cnf(s658,plain,
    ( ~ spl0_31
    | ~ spl0_40
    | spl0_53
    | spl0_135
    | ~ spl0_137
    | ~ spl0_47
    | spl0_44 ),
    inference(rat,[],[s620,s33,s55,s635,s270,s8,s241,s615,s652]) ).

cnf(s659,plain,
    ( spl0_31
    | spl0_53
    | spl0_44 ),
    inference(rat,[],[s617,s76,s77,s78,s33,s633,s59,s652]) ).

cnf(s660,plain,
    ( ~ spl0_47
    | spl0_44
    | spl0_3
    | spl0_41 ),
    inference(rat,[],[s632,s620,s217,s55,s35,s270,s658,s241,s659,s621,s54,s628,s172,s174,s657,s652]) ).

cnf(s661,plain,
    ( spl0_44
    | spl0_41
    | spl0_3 ),
    inference(rat,[],[s504,s136,s137,s138,s68,s21,s391,s214,s376,s108,s109,s110,s29,s270,s241,s619,s659,s628,s172,s174,s28,s621,s39,s660,s652]) ).

cnf(s663,plain,
    ( ~ spl0_34
    | ~ spl0_33
    | ~ spl0_44 ),
    inference(rat,[],[s237,s376,s109,s110]) ).

cnf(s664,plain,
    ( ~ spl0_31
    | spl0_34
    | spl0_135
    | ~ spl0_137 ),
    inference(rat,[],[s270,s29,s241,s619,s652]) ).

cnf(s665,plain,
    ( spl0_47
    | ~ spl0_44
    | spl0_41 ),
    inference(rat,[],[s560,s521,s116,s117,s118,s38,s622,s632,s633,s59,s664,s663,s628,s172,s174,s28,s621,s39,s652]) ).

cnf(s666,plain,
    ( spl0_41
    | spl0_3 ),
    inference(rat,[],[s632,s560,s633,s521,s59,s116,s117,s118,s628,s17,s28,s619,s621,s68,s37,s406,s588,s656,s88,s89,s90,s66,s504,s136,s137,s138,s2,s637,s665,s646,s661,s652]) ).

cnf(s667,plain,
    ( ~ spl0_47
    | spl0_3 ),
    inference(rat,[],[s504,s136,s137,s138,s2,s386,s637,s666]) ).

cnf(s668,plain,
    ( ~ spl0_2
    | ~ spl0_41 ),
    inference(rat,[],[s329,s112,s113,s114]) ).

cnf(s669,plain,
    ( ~ spl0_4
    | ~ spl0_60 ),
    inference(rat,[],[s504,s136,s137,s138]) ).

cnf(s670,plain,
    ( ~ spl0_31
    | spl0_6
    | spl0_3 ),
    inference(rat,[],[s632,s620,s622,s46,s48,s455,s306,s591,s240,s128,s129,s130,s8,s545,s80,s81,s82,s64,s498,s420,s120,s121,s122,s2,s669,s68,s619,s577,s62,s524,s384,s666,s621,s39,s667,s652,s655,s653,s654]) ).

cnf(s671,plain,
    ( ~ spl0_30
    | ~ spl0_43 ),
    inference(rat,[],[s231,s148,s149,s150]) ).

cnf(s672,plain,
    ( ~ spl0_10
    | spl0_31
    | spl0_6
    | ~ spl0_41 ),
    inference(rat,[],[s591,s128,s129,s130,s8,s545,s80,s81,s82,s64,s500,s669,s46,s452,s152,s153,s154,s16,s50,s671,s31,s633,s620,s668,s652]) ).

cnf(s673,plain,
    ( spl0_6
    | spl0_44
    | spl0_3 ),
    inference(rat,[],[s266,s598,s164,s165,s166,s4,s672,s659,s34,s670,s666,s621,s39,s667,s652]) ).

cnf(s674,plain,
    ( spl0_44
    | spl0_3 ),
    inference(rat,[],[s21,s214,s669,s108,s109,s110,s68,s664,s619,s659,s628,s172,s174,s673,s577,s384,s666,s652,s655,s654]) ).

cnf(s675,plain,
    ( ~ spl0_31
    | spl0_3 ),
    inference(rat,[],[s241,s270,s172,s174,s29,s670,s619,s663,s674,s39,s667,s652]) ).

cnf(s676,plain,
    ( spl0_6
    | spl0_3 ),
    inference(rat,[],[s591,s128,s129,s130,s8,s545,s48,s80,s81,s82,s626,s64,s38,s539,s622,s164,s165,s166,s632,s4,s672,s666,s621,s39,s667,s675,s652]) ).

cnf(s677,plain,
    spl0_3,
    inference(rat,[],[s521,s560,s116,s117,s118,s38,s622,s632,s633,s59,s628,s676,s675,s621,s39,s667,s652]) ).

cnf(s678,plain,
    spl0_107,
    inference(rat,[],[s134,s677]) ).

cnf(s679,plain,
    spl0_106,
    inference(rat,[],[s133,s677]) ).

cnf(s680,plain,
    ~ spl0_105,
    inference(rat,[],[s132,s677]) ).

cnf(s681,plain,
    ( spl0_41
    | spl0_6
    | ~ spl0_31 ),
    inference(rat,[],[s598,s583,s165,s166,s60,s639,s47,s641,s451,s8,s577,s615,s37,s54,s39,s621,s28,s401,s206,s652,s653,s655,s654,s679,s678,s680]) ).

cnf(s682,plain,
    ( spl0_2
    | ~ spl0_31 ),
    inference(rat,[],[s215,s35,s549,s635,s76,s77,s78,s33,s8,s620,s615,s31,s623,s401,s482,s405,s206,s652,s680,s678,s679]) ).

cnf(s683,plain,
    ~ spl0_31,
    inference(rat,[],[s217,s35,s658,s38,s626,s625,s622,s632,s620,s621,s55,s54,s628,s172,s174,s681,s668,s682,s405,s482,s401,s206,s652,s679,s680,s678]) ).

cnf(s684,plain,
    ( ~ spl0_24
    | ~ spl0_38 ),
    inference(rat,[],[s233,s156,s157,s158]) ).

cnf(s685,plain,
    ( ~ spl0_34
    | ~ spl0_45 ),
    inference(rat,[],[s391,s606,s108,s109,s683,s652]) ).

cnf(s686,plain,
    ( ~ spl0_20
    | spl0_34
    | ~ spl0_53 ),
    inference(rat,[],[s533,s596,s188,s189,s190,s29,s405,s408,s652,s679,s680,s678]) ).

cnf(s687,plain,
    ( ~ spl0_38
    | spl0_20
    | spl0_40 ),
    inference(rat,[],[s15,s217,s684,s652]) ).

cnf(s689,plain,
    ( ~ spl0_21
    | ~ spl0_53
    | ~ spl0_47 ),
    inference(rat,[],[s584,s599,s128,s129]) ).

cnf(s690,plain,
    ( spl0_41
    | spl0_6 ),
    inference(rat,[],[s639,s592,s47,s48,s225,s622,s14,s689,s62,s432,s88,s89,s90,s66,s646,s34,s687,s686,s618,s19,s685,s451,s503,s577,s37,s54,s39,s621,s28,s654,s655,s653,s683,s652]) ).

cnf(s691,plain,
    ( spl0_44
    | spl0_6 ),
    inference(rat,[],[s431,s215,s76,s77,s33,s34,s672,s62,s524,s384,s690,s652,s683,s655,s653,s654]) ).

cnf(s692,plain,
    ( ~ spl0_53
    | spl0_6 ),
    inference(rat,[],[s47,s626,s639,s14,s315,s689,s646,s17,s408,s39,s412,s618,s19,s608,s31,s671,s36,s480,s482,s691,s577,s384,s668,s690,s652,s655,s654,s680,s678,s683,s679]) ).

cnf(s693,plain,
    ( ~ spl0_41
    | spl0_6 ),
    inference(rat,[],[s65,s539,s560,s164,s165,s166,s521,s53,s59,s692,s116,s117,s118,s618,s17,s19,s480,s408,s608,s482,s691,s672,s679,s680,s678,s683,s652]) ).

cnf(s694,plain,
    spl0_6,
    inference(rat,[],[s693,s690]) ).

cnf(s698,plain,
    ~ spl0_53,
    inference(rat,[],[s628,s694]) ).

cnf(s699,plain,
    spl0_44,
    inference(rat,[],[s659,s683,s698]) ).

cnf(s700,plain,
    spl0_51,
    inference(rat,[],[s59,s683,s652,s698]) ).

cnf(s702,plain,
    spl0_159,
    inference(rat,[],[s482,s680,s678,s699]) ).

cnf(s703,plain,
    ~ spl0_34,
    inference(rat,[],[s608,s652,s683,s699]) ).

cnf(s704,plain,
    ~ spl0_10,
    inference(rat,[],[s633,s652,s683,s700]) ).

cnf(s705,plain,
    ~ spl0_20,
    inference(rat,[],[s408,s679,s678,s702]) ).

cnf(s706,plain,
    ~ spl0_33,
    inference(rat,[],[s480,s680,s678,s702]) ).

cnf(s707,plain,
    spl0_12,
    inference(rat,[],[s19,s706,s652,s703]) ).

cnf(s708,plain,
    spl0_32,
    inference(rat,[],[s17,s683,s652,s705]) ).

cnf(s715,plain,
    ~ spl0_40,
    inference(rat,[],[s618,s707]) ).

cnf(s716,plain,
    spl0_95,
    inference(rat,[],[s118,s708]) ).

cnf(s717,plain,
    spl0_94,
    inference(rat,[],[s117,s708]) ).

cnf(s718,plain,
    ~ spl0_93,
    inference(rat,[],[s116,s708]) ).

cnf(s729,plain,
    spl0_9,
    inference(rat,[],[s53,s698,s652,s715]) ).

cnf(s730,plain,
    spl0_161,
    inference(rat,[],[s521,s700,s716,s718]) ).

cnf(s735,plain,
    spl0_131,
    inference(rat,[],[s166,s729]) ).

cnf(s736,plain,
    ~ spl0_130,
    inference(rat,[],[s165,s729]) ).

cnf(s737,plain,
    ~ spl0_129,
    inference(rat,[],[s164,s729]) ).

cnf(s739,plain,
    ~ spl0_28,
    inference(rat,[],[s560,s718,s717,s730]) ).

cnf(s745,plain,
    ~ spl0_59,
    inference(rat,[],[s539,s735,s736,s737]) ).

cnf(s748,plain,
    $false,
    inference(rat,[],[s65,s704,s652,s739,s745]) ).

fof(f2028,plain,
    $false,
    inference(avatar_sat_refutation,[],[s748]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN484+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n014.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:15:01 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.04/1.11  % (1903421)Detected formulas, will run a generic FOF schedule.
% 3.04/1.11  % (1903427)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=955287031:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.04/1.11  % (1903430)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=10471436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.04/1.11  % (1903431)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=230093134:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.04/1.11  % (1903432)dis-21_1_sil=8000:lcm=predicate:random_seed=1467596627:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.04/1.11  % (1903426)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1907725601:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.04/1.11  % (1903428)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3957136799:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.04/1.11  % (1903429)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3019908094:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.04/1.11  % (1903432)First to succeed.
% 3.04/1.11  % (1903432)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1903421"
% 3.04/1.11  % (1903430)Instruction limit reached! 
% 3.04/1.11  % (1903430)------------------------------
% 3.04/1.11  % (1903430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11  % (1903430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11  % (1903430)CaDiCaL version: 2.1.3
% 3.04/1.11  % (1903430)Termination reason: Instruction limit
% 3.04/1.11  % (1903430)Termination phase: Saturation
% 3.04/1.11  % (1903430)Time elapsed: 0.055 s
% 3.04/1.11  % (1903430)Peak memory usage: 88 MB
% 3.04/1.11  % (1903430)Instructions burned: 120 (million)
% 3.04/1.11  % (1903431)Also succeeded, but the first one will report.
% 3.04/1.11  % (1903429)Instruction limit reached! 
% 3.04/1.11  % (1903429)------------------------------
% 3.04/1.11  % (1903429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11  % (1903429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11  % (1903429)CaDiCaL version: 2.1.3
% 3.04/1.11  % (1903429)Termination reason: Instruction limit
% 3.04/1.11  % (1903429)Termination phase: Saturation
% 3.04/1.11  % (1903429)Time elapsed: 0.069 s
% 3.04/1.11  % (1903429)Peak memory usage: 91 MB
% 3.04/1.11  % (1903429)Instructions burned: 109 (million)
% 3.04/1.11  % (1903440)lrs+10_1_sil=8000:sp=occurrence:random_seed=1615413046:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.04/1.11  % (1903441)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3723311633:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.04/1.11  % (1903440)Also succeeded, but the first one will report.
% 3.04/1.11  % (1903441)Also succeeded, but the first one will report.
% 3.04/1.11  % (1903432)Refutation found. Thanks to Tanya!
% 3.04/1.11  % SZS status Theorem for theBenchmark
% 3.04/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.21  % (1903432)------------------------------
% 3.77/1.21  % (1903432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.21  % (1903432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.21  % (1903432)CaDiCaL version: 2.1.3
% 3.77/1.21  % (1903432)Termination reason: Refutation
% 3.77/1.21  % (1903432)Time elapsed: 0.037 s
% 3.77/1.21  % (1903432)Peak memory usage: 90 MB
% 3.77/1.21  % (1903432)Instructions burned: 62 (million)
% 3.77/1.21  % (1903432)------------------------------
% 3.77/1.21  % (1903432)------------------------------
% 3.77/1.21  % (1903421)Success in time 0.457 s
% 3.77/1.21  % Vampire exiting
%------------------------------------------------------------------------------