↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN484+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 02:13:23 PM UTC 2026

% Result   : Theorem 0.19s 0.32s
% Output   : Refutation 0.19s
% 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/sandbox/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(f10,plain,
    ( hskp28
    | hskp1
    | hskp21 ),
    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(f16,plain,
    ! [X116] :
      ( c3_1(X116)
      | ~ c1_1(X116)
      | ~ c2_1(X116)
      | ~ ndr1_0
      | hskp14
      | hskp10 ),
    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(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(f23,plain,
    ! [X107] :
      ( c2_1(X107)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | hskp16
      | hskp24 ),
    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(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(f31,plain,
    ! [X96] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | ~ c2_1(X96)
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    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(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(f49,plain,
    ! [X66,X67] :
      ( c0_1(X66)
      | ~ c1_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | c3_1(X67)
      | ~ c0_1(X67)
      | ~ c1_1(X67)
      | ~ ndr1_0
      | hskp10 ),
    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(f56,plain,
    ! [X52] :
      ( c0_1(X52)
      | c2_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | hskp9
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | c2_1(X51)
      | ~ c0_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | hskp10 ),
    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(f62,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | c0_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | hskp9 ),
    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(f66,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | hskp7 ),
    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(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(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(f105,plain,
    ( ~ hskp24
    | ~ c2_1(a2031) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c1_1(a2031) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | ~ c0_1(a2031) ),
    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(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(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(f165,plain,
    ( ~ hskp9
    | ~ c3_1(a1985) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp9
    | ~ c0_1(a1985) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp9
    | c1_1(a1985) ),
    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(f173,plain,
    ( ~ hskp7
    | ~ c3_1(a1981) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | c1_1(a1981) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | c0_1(a1981) ),
    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(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(f209,plain,
    ( ~ hskp1
    | ~ c2_1(a1971) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f210,plain,
    ( ~ hskp1
    | c1_1(a1971) ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f212,plain,
    ( ~ hskp2
    | ~ c1_1(a1973) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f213,plain,
    ( ~ hskp2
    | c2_1(a1973) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f215,plain,
    ( hskp3
    | ~ c1_1(a1974) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f216,plain,
    ( hskp3
    | ~ c2_1(a1974) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f219,plain,
    ( hskp4
    | c0_1(a1975) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f220,plain,
    ( hskp4
    | c1_1(a1975) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f221,plain,
    ( hskp4
    | c2_1(a1975) ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f223,plain,
    ( hskp5
    | ~ c1_1(a1977) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f224,plain,
    ( hskp5
    | c2_1(a1977) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f225,plain,
    ( hskp5
    | ~ c3_1(a1977) ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f227,plain,
    ( hskp6
    | c3_1(a1979) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f228,plain,
    ( hskp6
    | ~ c0_1(a1979) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f229,plain,
    ( hskp6
    | c2_1(a1979) ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f231,plain,
    ( hskp7
    | c0_1(a1981) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f232,plain,
    ( hskp7
    | ~ c1_1(a1981) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f233,plain,
    ( hskp7
    | ~ c3_1(a1981) ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f235,plain,
    ( hskp8
    | c3_1(a1983) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f236,plain,
    ( hskp8
    | ~ c0_1(a1983) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f237,plain,
    ( hskp8
    | c1_1(a1983) ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f239,plain,
    ( ~ hskp9
    | ~ c1_1(a1985) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f241,plain,
    ( hskp10
    | ~ c2_1(a1987) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f242,plain,
    ( hskp10
    | c3_1(a1987) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f243,plain,
    ( hskp10
    | c1_1(a1987) ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f245,plain,
    ( ~ hskp11
    | ~ c2_1(a1989) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f247,plain,
    ( ~ hskp12
    | c1_1(a1990) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f248,plain,
    ( ~ hskp12
    | c2_1(a1990) ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f250,plain,
    ( ~ hskp13
    | ~ c2_1(a1991) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f252,plain,
    ( hskp14
    | ~ c1_1(a1992) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f253,plain,
    ( hskp14
    | ~ c0_1(a1992) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f254,plain,
    ( hskp14
    | c2_1(a1992) ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f256,plain,
    ( hskp15
    | ~ c2_1(a1993) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f257,plain,
    ( hskp15
    | ~ c0_1(a1993) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f258,plain,
    ( hskp15
    | c1_1(a1993) ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f259,plain,
    ( ~ hskp16
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f260,plain,
    ( ~ hskp16
    | c2_1(a1996) ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f262,plain,
    ( ~ hskp17
    | ~ c1_1(a1998) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f263,plain,
    ( ~ hskp18
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f264,plain,
    ( ~ hskp18
    | c1_1(a2000) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f266,plain,
    ( hskp19
    | ~ c2_1(a2001) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f267,plain,
    ( hskp19
    | c3_1(a2001) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f268,plain,
    ( hskp19
    | ~ c0_1(a2001) ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f270,plain,
    ( hskp20
    | ~ c1_1(a2003) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f271,plain,
    ( hskp20
    | ~ c2_1(a2003) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f272,plain,
    ( hskp20
    | ~ c3_1(a2003) ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f273,plain,
    ( ~ hskp21
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f274,plain,
    ( ~ hskp21
    | ~ c2_1(a2009) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f275,plain,
    ( ~ hskp21
    | c1_1(a2009) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f277,plain,
    ( ~ hskp22
    | c2_1(a2012) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f279,plain,
    ( ~ hskp23
    | ~ c1_1(a2014) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f280,plain,
    ( ~ hskp23
    | c2_1(a2014) ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f282,plain,
    ( hskp24
    | ~ c0_1(a2031) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f283,plain,
    ( hskp24
    | c1_1(a2031) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f284,plain,
    ( hskp24
    | c2_1(a2031) ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f286,plain,
    ( ~ hskp25
    | c2_1(a2041) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f288,plain,
    ( ~ hskp26
    | c1_1(a2049) ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f290,plain,
    ( ~ hskp27
    | ~ c1_1(a1970) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f291,plain,
    ( ~ hskp27
    | ~ c2_1(a1970) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f293,plain,
    ( hskp28
    | c0_1(a1972) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f294,plain,
    ( hskp28
    | ~ c1_1(a1972) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f297,plain,
    ( ~ hskp29
    | ~ c1_1(a1978) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f298,plain,
    ( ~ hskp29
    | ~ c2_1(a1978) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f300,plain,
    ( hskp30
    | c0_1(a2005) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f301,plain,
    ( hskp30
    | ~ c2_1(a2005) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f302,plain,
    ( hskp30
    | c3_1(a2005) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f313,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(consistent_polarity_flipping,[],[f70]) ).

fof(f314,plain,
    ! [X24] :
      ( c0_1(X24)
      | ~ c1_1(X24)
      | ~ c3_1(X24)
      | ndr1_0
      | hskp29
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f316,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(consistent_polarity_flipping,[],[f67]) ).

fof(f317,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | ~ c2_1(X29)
      | c1_1(X29)
      | ndr1_0
      | c0_1(X30)
      | c1_1(X30)
      | c2_1(X30)
      | ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f318,plain,
    ! [X31] :
      ( c0_1(X31)
      | ~ c2_1(X31)
      | c1_1(X31)
      | ndr1_0
      | ~ hskp28
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f319,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(consistent_polarity_flipping,[],[f64]) ).

fof(f321,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | ~ c2_1(X37)
      | ~ c3_1(X37)
      | ndr1_0
      | c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f322,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(consistent_polarity_flipping,[],[f61]) ).

fof(f323,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(consistent_polarity_flipping,[],[f60]) ).

fof(f324,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(consistent_polarity_flipping,[],[f59]) ).

fof(f325,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(consistent_polarity_flipping,[],[f58]) ).

fof(f326,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ndr1_0
      | ~ c2_1(X51)
      | ~ c0_1(X51)
      | c1_1(X51)
      | ndr1_0
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f327,plain,
    ! [X52] :
      ( c0_1(X52)
      | ~ c2_1(X52)
      | ~ c3_1(X52)
      | ndr1_0
      | hskp9
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f328,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(consistent_polarity_flipping,[],[f55]) ).

fof(f329,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(consistent_polarity_flipping,[],[f54]) ).

fof(f330,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(consistent_polarity_flipping,[],[f53]) ).

fof(f331,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(consistent_polarity_flipping,[],[f52]) ).

fof(f334,plain,
    ! [X66,X67] :
      ( c0_1(X66)
      | c1_1(X66)
      | c2_1(X66)
      | ndr1_0
      | c3_1(X67)
      | ~ c0_1(X67)
      | c1_1(X67)
      | ndr1_0
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f335,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(consistent_polarity_flipping,[],[f48]) ).

fof(f337,plain,
    ! [X71] :
      ( c0_1(X71)
      | c1_1(X71)
      | ~ c3_1(X71)
      | ndr1_0
      | ~ hskp4
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f339,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(consistent_polarity_flipping,[],[f44]) ).

fof(f340,plain,
    ! [X76] :
      ( c0_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ndr1_0
      | hskp13
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f341,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(consistent_polarity_flipping,[],[f42]) ).

fof(f342,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(consistent_polarity_flipping,[],[f41]) ).

fof(f343,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(consistent_polarity_flipping,[],[f40]) ).

fof(f344,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(consistent_polarity_flipping,[],[f39]) ).

fof(f345,plain,
    ! [X88] :
      ( ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ c0_1(X88)
      | ndr1_0
      | ~ hskp30
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f347,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(consistent_polarity_flipping,[],[f36]) ).

fof(f348,plain,
    ! [X92] :
      ( ~ c1_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | ndr1_0
      | hskp1
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f349,plain,
    ! [X93] :
      ( ~ c1_1(X93)
      | ~ c2_1(X93)
      | ~ c3_1(X93)
      | ndr1_0
      | hskp22
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f350,plain,
    ! [X94] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94)
      | ndr1_0
      | hskp23
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f351,plain,
    ! [X95] :
      ( ~ c1_1(X95)
      | c3_1(X95)
      | c2_1(X95)
      | ndr1_0
      | ~ hskp3
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f352,plain,
    ! [X96] :
      ( ~ c1_1(X96)
      | ~ c0_1(X96)
      | c2_1(X96)
      | ndr1_0
      | ~ hskp10
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f353,plain,
    ! [X97] :
      ( ~ c1_1(X97)
      | ~ c0_1(X97)
      | ~ c3_1(X97)
      | ndr1_0
      | ~ hskp30
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f354,plain,
    ! [X98] :
      ( ~ c1_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ndr1_0
      | ~ hskp6
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f358,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(consistent_polarity_flipping,[],[f25]) ).

fof(f360,plain,
    ! [X107] :
      ( ~ c2_1(X107)
      | ~ c0_1(X107)
      | c1_1(X107)
      | ndr1_0
      | hskp16
      | ~ hskp24 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f361,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(consistent_polarity_flipping,[],[f22]) ).

fof(f363,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(consistent_polarity_flipping,[],[f20]) ).

fof(f364,plain,
    ! [X113] :
      ( c3_1(X113)
      | ~ c0_1(X113)
      | c2_1(X113)
      | ndr1_0
      | ~ hskp4
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f367,plain,
    ! [X116] :
      ( c3_1(X116)
      | c1_1(X116)
      | c2_1(X116)
      | ndr1_0
      | ~ hskp14
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f370,plain,
    ! [X119] :
      ( ~ c0_1(X119)
      | c1_1(X119)
      | c2_1(X119)
      | ndr1_0
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f371,plain,
    ! [X120] :
      ( ~ c0_1(X120)
      | c1_1(X120)
      | ~ c3_1(X120)
      | ndr1_0
      | hskp26
      | hskp25 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f373,plain,
    ( ~ hskp28
    | hskp1
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f374,plain,
    ( hskp23
    | ~ hskp5
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f375,plain,
    ( ~ hskp30
    | hskp27
    | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f376,plain,
    ( hskp16
    | ~ hskp19
    | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f377,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,[],[f363]) ).

fof(f378,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,[],[f361]) ).

fof(f379,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,[],[f358]) ).

fof(f381,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,[],[f347]) ).

fof(f382,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,[],[f344]) ).

fof(f383,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,[],[f343]) ).

fof(f384,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,[],[f342]) ).

fof(f385,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,[],[f341]) ).

fof(f386,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,[],[f339]) ).

fof(f388,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,[],[f335]) ).

fof(f389,plain,
    ! [X66,X67] :
      ( c0_1(X66)
      | c1_1(X66)
      | c2_1(X66)
      | ndr1_0
      | c3_1(X67)
      | ~ c0_1(X67)
      | c1_1(X67)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f392,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,[],[f331]) ).

fof(f393,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,[],[f330]) ).

fof(f394,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,[],[f329]) ).

fof(f395,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,[],[f328]) ).

fof(f396,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ndr1_0
      | ~ c2_1(X51)
      | ~ c0_1(X51)
      | c1_1(X51)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f397,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,[],[f325]) ).

fof(f398,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,[],[f324]) ).

fof(f399,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,[],[f323]) ).

fof(f400,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,[],[f322]) ).

fof(f401,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | ~ c2_1(X37)
      | ~ c3_1(X37)
      | ndr1_0
      | c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f403,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,[],[f319]) ).

fof(f404,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | ~ c2_1(X29)
      | c1_1(X29)
      | ndr1_0
      | c0_1(X30)
      | c1_1(X30)
      | c2_1(X30)
      | ~ hskp7 ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f405,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,[],[f316]) ).

fof(f407,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,[],[f313]) ).

fof(f418,definition,
    ( spl0_1
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f422,definition,
    ( spl0_2
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f426,definition,
    ( spl0_3
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f429,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f426,f422,f418]) ).

fof(f431,definition,
    ( spl0_4
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f435,definition,
    ( spl0_5
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f438,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f376,f426,f435,f431]) ).

fof(f440,definition,
    ( spl0_6
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f444,definition,
    ( spl0_7
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_8
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f451,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f375,f448,f444,f440]) ).

fof(f453,definition,
    ( spl0_9
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f457,definition,
    ( spl0_10
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f461,definition,
    ( spl0_11
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f464,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f374,f461,f457,f453]) ).

fof(f466,definition,
    ( spl0_12
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f470,definition,
    ( spl0_13
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f473,plain,
    ( spl0_2
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f373,f470,f466,f422]) ).

fof(f475,definition,
    ( spl0_14
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_15
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f483,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_17
  <=> ! [X121] :
        ( c1_1(X121)
        | ~ c3_1(X121)
        | c2_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X121] :
        ( ~ c3_1(X121)
        | c1_1(X121)
        | c2_1(X121) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f491,definition,
    ( spl0_18
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f495,definition,
    ( spl0_19
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f499,definition,
    ( spl0_20
  <=> ! [X120] :
        ( ~ c0_1(X120)
        | ~ c3_1(X120)
        | c1_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f500,plain,
    ( ! [X120] :
        ( ~ c0_1(X120)
        | ~ c3_1(X120)
        | c1_1(X120) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( spl0_18
    | spl0_19
    | spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f371,f499,f483,f495,f491]) ).

fof(f503,definition,
    ( spl0_21
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f507,definition,
    ( spl0_22
  <=> ! [X119] :
        ( ~ c0_1(X119)
        | c2_1(X119)
        | c1_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X119] :
        ( ~ c0_1(X119)
        | c2_1(X119)
        | c1_1(X119) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( spl0_21
    | spl0_16
    | spl0_22 ),
    inference(avatar_split_clause,[],[f370,f507,f483,f503]) ).

fof(f511,definition,
    ( spl0_23
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f517,definition,
    ( spl0_24
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f521,definition,
    ( spl0_25
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f525,definition,
    ( spl0_26
  <=> ! [X116] :
        ( c3_1(X116)
        | c2_1(X116)
        | c1_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f526,plain,
    ( ! [X116] :
        ( c3_1(X116)
        | c2_1(X116)
        | c1_1(X116) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( ~ spl0_24
    | ~ spl0_25
    | spl0_16
    | spl0_26 ),
    inference(avatar_split_clause,[],[f367,f525,f483,f521,f517]) ).

fof(f529,definition,
    ( spl0_27
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f533,definition,
    ( spl0_28
  <=> ! [X115] :
        ( c3_1(X115)
        | c2_1(X115)
        | ~ c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f534,plain,
    ( ! [X115] :
        ( ~ c0_1(X115)
        | c2_1(X115)
        | c3_1(X115) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f541,definition,
    ( spl0_30
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f545,plain,
    ( spl0_21
    | ~ spl0_15
    | spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f364,f533,f483,f479,f503]) ).

fof(f546,plain,
    ( ~ spl0_24
    | spl0_20
    | spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f377,f533,f483,f499,f517]) ).

fof(f548,definition,
    ( spl0_31
  <=> ! [X110] :
        ( ~ c2_1(X110)
        | ~ c3_1(X110)
        | c1_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f549,plain,
    ( ! [X110] :
        ( ~ c3_1(X110)
        | ~ c2_1(X110)
        | c1_1(X110) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f552,definition,
    ( spl0_32
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ spl0_32
    | spl0_20
    | spl0_16
    | spl0_31 ),
    inference(avatar_split_clause,[],[f378,f548,f483,f499,f552]) ).

fof(f557,definition,
    ( spl0_33
  <=> ! [X107] :
        ( ~ c2_1(X107)
        | c1_1(X107)
        | ~ c0_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f558,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | c1_1(X107)
        | ~ c2_1(X107) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( ~ spl0_27
    | spl0_3
    | spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f360,f557,f483,f426,f529]) ).

fof(f561,definition,
    ( spl0_34
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f566,definition,
    ( spl0_35
  <=> ! [X105] :
        ( c3_1(X105)
        | c1_1(X105)
        | ~ c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f567,plain,
    ( ! [X105] :
        ( ~ c0_1(X105)
        | c1_1(X105)
        | c3_1(X105) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f569,definition,
    ( spl0_36
  <=> ! [X103] :
        ( ~ c2_1(X103)
        | c1_1(X103)
        | c3_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f570,plain,
    ( ! [X103] :
        ( c3_1(X103)
        | c1_1(X103)
        | ~ c2_1(X103) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( spl0_35
    | spl0_31
    | spl0_16
    | spl0_36 ),
    inference(avatar_split_clause,[],[f379,f569,f483,f548,f566]) ).

fof(f577,definition,
    ( spl0_38
  <=> ! [X101] :
        ( ~ c1_1(X101)
        | ~ c3_1(X101)
        | c2_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f578,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | ~ c1_1(X101)
        | c2_1(X101) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f582,definition,
    ( spl0_39
  <=> ! [X98] :
        ( ~ c1_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f583,plain,
    ( ! [X98] :
        ( ~ c0_1(X98)
        | ~ c3_1(X98)
        | ~ c1_1(X98) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f584,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f354,f582,f483,f440,f418]) ).

fof(f585,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f353,f582,f483,f448,f431]) ).

fof(f587,definition,
    ( spl0_40
  <=> ! [X96] :
        ( ~ c1_1(X96)
        | c2_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X96] :
        ( ~ c0_1(X96)
        | c2_1(X96)
        | ~ c1_1(X96) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( spl0_14
    | ~ spl0_24
    | spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f352,f587,f483,f517,f475]) ).

fof(f591,definition,
    ( spl0_41
  <=> ! [X95] :
        ( ~ c1_1(X95)
        | c2_1(X95)
        | c3_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f592,plain,
    ( ! [X95] :
        ( c3_1(X95)
        | c2_1(X95)
        | ~ c1_1(X95) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( spl0_21
    | ~ spl0_23
    | spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f351,f591,f483,f511,f503]) ).

fof(f594,plain,
    ( ~ spl0_6
    | spl0_11
    | spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f350,f591,f483,f461,f440]) ).

fof(f596,definition,
    ( spl0_42
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f600,definition,
    ( spl0_43
  <=> ! [X93] :
        ( ~ c1_1(X93)
        | ~ c3_1(X93)
        | ~ c2_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f601,plain,
    ( ! [X93] :
        ( ~ c3_1(X93)
        | ~ c1_1(X93)
        | ~ c2_1(X93) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f602,plain,
    ( spl0_42
    | spl0_34
    | spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f349,f600,f483,f561,f596]) ).

fof(f603,plain,
    ( ~ spl0_24
    | spl0_12
    | spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f348,f600,f483,f466,f517]) ).

fof(f604,plain,
    ( spl0_2
    | spl0_36
    | spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f381,f600,f483,f569,f422]) ).

fof(f606,definition,
    ( spl0_44
  <=> ! [X89] :
        ( ~ c1_1(X89)
        | ~ c0_1(X89)
        | ~ c2_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X89] :
        ( ~ c0_1(X89)
        | ~ c1_1(X89)
        | ~ c2_1(X89) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f345,f606,f483,f448,f457]) ).

fof(f610,plain,
    ( spl0_31
    | spl0_38
    | spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f382,f606,f483,f577,f548]) ).

fof(f611,plain,
    ( spl0_38
    | spl0_40
    | spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f383,f606,f483,f587,f577]) ).

fof(f613,definition,
    ( spl0_45
  <=> ! [X80] :
        ( ~ c1_1(X80)
        | c3_1(X80)
        | ~ c2_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f614,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | ~ c1_1(X80)
        | ~ c2_1(X80) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f615,plain,
    ( spl0_30
    | spl0_33
    | spl0_16
    | spl0_45 ),
    inference(avatar_split_clause,[],[f384,f613,f483,f557,f541]) ).

fof(f616,plain,
    ( spl0_33
    | spl0_41
    | spl0_16
    | spl0_45 ),
    inference(avatar_split_clause,[],[f385,f613,f483,f591,f557]) ).

fof(f618,definition,
    ( spl0_46
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f622,definition,
    ( spl0_47
  <=> ! [X76] :
        ( c0_1(X76)
        | ~ c3_1(X76)
        | c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f623,plain,
    ( ! [X76] :
        ( c0_1(X76)
        | ~ c3_1(X76)
        | c2_1(X76) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( ~ spl0_32
    | spl0_46
    | spl0_16
    | spl0_47 ),
    inference(avatar_split_clause,[],[f340,f622,f483,f618,f552]) ).

fof(f625,plain,
    ( spl0_33
    | spl0_16
    | spl0_47 ),
    inference(avatar_split_clause,[],[f386,f622,f483,f557]) ).

fof(f628,definition,
    ( spl0_48
  <=> ! [X71] :
        ( c0_1(X71)
        | ~ c3_1(X71)
        | c1_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f629,plain,
    ( ! [X71] :
        ( c0_1(X71)
        | ~ c3_1(X71)
        | c1_1(X71) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f630,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f337,f628,f483,f479,f418]) ).

fof(f632,plain,
    ( spl0_3
    | spl0_20
    | spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f388,f628,f483,f499,f426]) ).

fof(f634,definition,
    ( spl0_49
  <=> ! [X66] :
        ( c0_1(X66)
        | c2_1(X66)
        | c1_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f635,plain,
    ( ! [X66] :
        ( c0_1(X66)
        | c2_1(X66)
        | c1_1(X66) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f636,plain,
    ( ~ spl0_24
    | spl0_35
    | spl0_16
    | spl0_49 ),
    inference(avatar_split_clause,[],[f389,f634,f483,f566,f517]) ).

fof(f639,definition,
    ( spl0_50
  <=> ! [X62] :
        ( c0_1(X62)
        | c2_1(X62)
        | c3_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f640,plain,
    ( ! [X62] :
        ( c0_1(X62)
        | c2_1(X62)
        | c3_1(X62) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f642,plain,
    ( ~ spl0_25
    | spl0_39
    | spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f392,f639,f483,f582,f521]) ).

fof(f643,plain,
    ( spl0_46
    | spl0_48
    | spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f393,f639,f483,f628,f618]) ).

fof(f645,definition,
    ( spl0_51
  <=> ! [X55] :
        ( c0_1(X55)
        | c1_1(X55)
        | c3_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f646,plain,
    ( ! [X55] :
        ( c0_1(X55)
        | c1_1(X55)
        | c3_1(X55) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( spl0_22
    | spl0_33
    | spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f394,f645,f483,f557,f507]) ).

fof(f648,plain,
    ( spl0_30
    | spl0_48
    | spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f395,f645,f483,f628,f541]) ).

fof(f650,definition,
    ( spl0_52
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f654,definition,
    ( spl0_53
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c3_1(X52)
        | ~ c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f655,plain,
    ( ! [X52] :
        ( c0_1(X52)
        | ~ c3_1(X52)
        | ~ c2_1(X52) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f656,plain,
    ( spl0_14
    | spl0_52
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f327,f654,f483,f650,f475]) ).

fof(f657,plain,
    ( ~ spl0_24
    | spl0_33
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f396,f654,f483,f557,f517]) ).

fof(f658,plain,
    ( ~ spl0_9
    | spl0_40
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f397,f654,f483,f587,f453]) ).

fof(f659,plain,
    ( spl0_33
    | spl0_41
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f398,f654,f483,f591,f557]) ).

fof(f660,plain,
    ( spl0_36
    | spl0_43
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f399,f654,f483,f600,f569]) ).

fof(f661,plain,
    ( spl0_33
    | spl0_44
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f400,f654,f483,f606,f557]) ).

fof(f662,plain,
    ( spl0_52
    | spl0_47
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f401,f654,f483,f622,f650]) ).

fof(f664,definition,
    ( spl0_54
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f668,plain,
    ( spl0_31
    | spl0_51
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f403,f654,f483,f645,f548]) ).

fof(f670,definition,
    ( spl0_55
  <=> ! [X31] :
        ( c0_1(X31)
        | c1_1(X31)
        | ~ c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f671,plain,
    ( ! [X31] :
        ( c0_1(X31)
        | c1_1(X31)
        | ~ c2_1(X31) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f672,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_16
    | spl0_55 ),
    inference(avatar_split_clause,[],[f318,f670,f483,f470,f453]) ).

fof(f674,definition,
    ( spl0_56
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ spl0_56
    | spl0_49
    | spl0_16
    | spl0_55 ),
    inference(avatar_split_clause,[],[f404,f670,f483,f634,f674]) ).

fof(f679,definition,
    ( spl0_57
  <=> ! [X27] :
        ( c0_1(X27)
        | c3_1(X27)
        | ~ c2_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f680,plain,
    ( ! [X27] :
        ( c0_1(X27)
        | c3_1(X27)
        | ~ c2_1(X27) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( spl0_17
    | spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f405,f679,f483,f487]) ).

fof(f687,definition,
    ( spl0_59
  <=> ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | ~ c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f688,plain,
    ( ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | ~ c1_1(X24) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( ~ spl0_6
    | spl0_54
    | spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f314,f687,f483,f664,f440]) ).

fof(f690,plain,
    ( ~ spl0_10
    | spl0_28
    | spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f407,f687,f483,f533,f457]) ).

fof(f711,definition,
    ( spl0_63
  <=> c3_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f713,plain,
    ( c3_1(a2005)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f714,plain,
    ( spl0_63
    | spl0_8 ),
    inference(avatar_split_clause,[],[f302,f448,f711]) ).

fof(f716,definition,
    ( spl0_64
  <=> c2_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ spl0_64
    | spl0_8 ),
    inference(avatar_split_clause,[],[f301,f448,f716]) ).

fof(f721,definition,
    ( spl0_65
  <=> c0_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f723,plain,
    ( c0_1(a2005)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f724,plain,
    ( spl0_65
    | spl0_8 ),
    inference(avatar_split_clause,[],[f300,f448,f721]) ).

fof(f727,definition,
    ( spl0_66
  <=> c2_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ spl0_66
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f298,f664,f727]) ).

fof(f732,definition,
    ( spl0_67
  <=> c1_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_67
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f297,f664,f732]) ).

fof(f737,definition,
    ( spl0_68
  <=> c0_1(a1978) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f739,plain,
    ( c0_1(a1978)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl0_68
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f87,f664,f737]) ).

fof(f748,definition,
    ( spl0_70
  <=> c1_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ spl0_70
    | spl0_13 ),
    inference(avatar_split_clause,[],[f294,f470,f748]) ).

fof(f753,definition,
    ( spl0_71
  <=> c0_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f755,plain,
    ( c0_1(a1972)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( spl0_71
    | spl0_13 ),
    inference(avatar_split_clause,[],[f293,f470,f753]) ).

fof(f759,definition,
    ( spl0_72
  <=> c3_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f761,plain,
    ( c3_1(a1970)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f762,plain,
    ( spl0_72
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f93,f444,f759]) ).

fof(f764,definition,
    ( spl0_73
  <=> c2_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ c2_1(a1970)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_73
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f291,f444,f764]) ).

fof(f769,definition,
    ( spl0_74
  <=> c1_1(a1970) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f772,plain,
    ( ~ spl0_74
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f290,f444,f769]) ).

fof(f775,definition,
    ( spl0_75
  <=> c1_1(a2049) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_75
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f288,f495,f775]) ).

fof(f780,definition,
    ( spl0_76
  <=> c3_1(a2049) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f783,plain,
    ( spl0_76
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f98,f495,f780]) ).

fof(f785,definition,
    ( spl0_77
  <=> c0_1(a2049) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f787,plain,
    ( c0_1(a2049)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f788,plain,
    ( spl0_77
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f99,f495,f785]) ).

fof(f791,definition,
    ( spl0_78
  <=> c3_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ c3_1(a2041)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( ~ spl0_78
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f101,f491,f791]) ).

fof(f796,definition,
    ( spl0_79
  <=> c2_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_79
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f286,f491,f796]) ).

fof(f801,definition,
    ( spl0_80
  <=> c0_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ c0_1(a2041)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( ~ spl0_80
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f103,f491,f801]) ).

fof(f807,definition,
    ( spl0_81
  <=> c2_1(a2031) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f810,plain,
    ( spl0_81
    | spl0_27 ),
    inference(avatar_split_clause,[],[f284,f529,f807]) ).

fof(f812,definition,
    ( spl0_82
  <=> c1_1(a2031) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_82
    | spl0_27 ),
    inference(avatar_split_clause,[],[f283,f529,f812]) ).

fof(f817,definition,
    ( spl0_83
  <=> c0_1(a2031) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ c0_1(a2031)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( ~ spl0_83
    | spl0_27 ),
    inference(avatar_split_clause,[],[f282,f529,f817]) ).

fof(f823,definition,
    ( spl0_84
  <=> c2_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f826,plain,
    ( spl0_84
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f280,f461,f823]) ).

fof(f828,definition,
    ( spl0_85
  <=> c1_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ spl0_85
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f279,f461,f828]) ).

fof(f833,definition,
    ( spl0_86
  <=> c0_1(a2014) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f835,plain,
    ( c0_1(a2014)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_86
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f111,f461,f833]) ).

fof(f844,definition,
    ( spl0_88
  <=> c2_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f847,plain,
    ( spl0_88
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f277,f561,f844]) ).

fof(f849,definition,
    ( spl0_89
  <=> c0_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f851,plain,
    ( c0_1(a2012)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,plain,
    ( spl0_89
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f115,f561,f849]) ).

fof(f855,definition,
    ( spl0_90
  <=> c3_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ c3_1(a2009)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( ~ spl0_90
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f117,f422,f855]) ).

fof(f860,definition,
    ( spl0_91
  <=> c1_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f863,plain,
    ( spl0_91
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f275,f422,f860]) ).

fof(f865,definition,
    ( spl0_92
  <=> c2_1(a2009) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ spl0_92
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f274,f422,f865]) ).

fof(f869,plain,
    ( ~ spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f273,f422,f483]) ).

fof(f871,definition,
    ( spl0_93
  <=> c3_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ c3_1(a2003)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f874,plain,
    ( ~ spl0_93
    | spl0_32 ),
    inference(avatar_split_clause,[],[f272,f552,f871]) ).

fof(f876,definition,
    ( spl0_94
  <=> c2_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ spl0_94
    | spl0_32 ),
    inference(avatar_split_clause,[],[f271,f552,f876]) ).

fof(f881,definition,
    ( spl0_95
  <=> c1_1(a2003) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f884,plain,
    ( ~ spl0_95
    | spl0_32 ),
    inference(avatar_split_clause,[],[f270,f552,f881]) ).

fof(f887,definition,
    ( spl0_96
  <=> c0_1(a2001) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ c0_1(a2001)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( ~ spl0_96
    | spl0_5 ),
    inference(avatar_split_clause,[],[f268,f435,f887]) ).

fof(f892,definition,
    ( spl0_97
  <=> c3_1(a2001) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f895,plain,
    ( spl0_97
    | spl0_5 ),
    inference(avatar_split_clause,[],[f267,f435,f892]) ).

fof(f897,definition,
    ( spl0_98
  <=> c2_1(a2001) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ spl0_98
    | spl0_5 ),
    inference(avatar_split_clause,[],[f266,f435,f897]) ).

fof(f903,definition,
    ( spl0_99
  <=> c3_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ c3_1(a2000)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f906,plain,
    ( ~ spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f418,f903]) ).

fof(f908,definition,
    ( spl0_100
  <=> c1_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f264,f418,f908]) ).

fof(f913,definition,
    ( spl0_101
  <=> c0_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f915,plain,
    ( ~ c0_1(a2000)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( ~ spl0_101
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f418,f913]) ).

fof(f917,plain,
    ( ~ spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f263,f418,f483]) ).

fof(f919,definition,
    ( spl0_102
  <=> c0_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ c0_1(a1998)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( ~ spl0_102
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f133,f503,f919]) ).

fof(f924,definition,
    ( spl0_103
  <=> c3_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f926,plain,
    ( c3_1(a1998)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( spl0_103
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f134,f503,f924]) ).

fof(f929,definition,
    ( spl0_104
  <=> c1_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ spl0_104
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f262,f503,f929]) ).

fof(f935,definition,
    ( spl0_105
  <=> c2_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f938,plain,
    ( spl0_105
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f260,f426,f935]) ).

fof(f940,definition,
    ( spl0_106
  <=> c3_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f942,plain,
    ( c3_1(a1996)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl0_106
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f426,f940]) ).

fof(f945,definition,
    ( spl0_107
  <=> c0_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f947,plain,
    ( c0_1(a1996)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f948,plain,
    ( spl0_107
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f426,f945]) ).

fof(f949,plain,
    ( ~ spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f259,f426,f483]) ).

fof(f951,definition,
    ( spl0_108
  <=> c1_1(a1993) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f954,plain,
    ( spl0_108
    | spl0_4 ),
    inference(avatar_split_clause,[],[f258,f431,f951]) ).

fof(f956,definition,
    ( spl0_109
  <=> c0_1(a1993) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f958,plain,
    ( ~ c0_1(a1993)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( ~ spl0_109
    | spl0_4 ),
    inference(avatar_split_clause,[],[f257,f431,f956]) ).

fof(f961,definition,
    ( spl0_110
  <=> c2_1(a1993) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f964,plain,
    ( ~ spl0_110
    | spl0_4 ),
    inference(avatar_split_clause,[],[f256,f431,f961]) ).

fof(f967,definition,
    ( spl0_111
  <=> c2_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f969,plain,
    ( c2_1(a1992)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f970,plain,
    ( spl0_111
    | spl0_25 ),
    inference(avatar_split_clause,[],[f254,f521,f967]) ).

fof(f972,definition,
    ( spl0_112
  <=> c0_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f974,plain,
    ( ~ c0_1(a1992)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f975,plain,
    ( ~ spl0_112
    | spl0_25 ),
    inference(avatar_split_clause,[],[f253,f521,f972]) ).

fof(f977,definition,
    ( spl0_113
  <=> c1_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ spl0_113
    | spl0_25 ),
    inference(avatar_split_clause,[],[f252,f521,f977]) ).

fof(f983,definition,
    ( spl0_114
  <=> c3_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f986,plain,
    ( ~ spl0_114
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f149,f618,f983]) ).

fof(f988,definition,
    ( spl0_115
  <=> c2_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ spl0_115
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f250,f618,f988]) ).

fof(f993,definition,
    ( spl0_116
  <=> c0_1(a1991) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f995,plain,
    ( c0_1(a1991)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f996,plain,
    ( spl0_116
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f151,f618,f993]) ).

fof(f999,definition,
    ( spl0_117
  <=> c2_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1002,plain,
    ( spl0_117
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f248,f541,f999]) ).

fof(f1004,definition,
    ( spl0_118
  <=> c1_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1007,plain,
    ( spl0_118
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f247,f541,f1004]) ).

fof(f1009,definition,
    ( spl0_119
  <=> c3_1(a1990) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1011,plain,
    ( c3_1(a1990)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( spl0_119
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f155,f541,f1009]) ).

fof(f1015,definition,
    ( spl0_120
  <=> c3_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ c3_1(a1989)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( ~ spl0_120
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f157,f475,f1015]) ).

fof(f1025,definition,
    ( spl0_122
  <=> c2_1(a1989) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1028,plain,
    ( ~ spl0_122
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f245,f475,f1025]) ).

fof(f1031,definition,
    ( spl0_123
  <=> c1_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1034,plain,
    ( spl0_123
    | spl0_24 ),
    inference(avatar_split_clause,[],[f243,f517,f1031]) ).

fof(f1036,definition,
    ( spl0_124
  <=> c3_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1038,plain,
    ( c3_1(a1987)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1039,plain,
    ( spl0_124
    | spl0_24 ),
    inference(avatar_split_clause,[],[f242,f517,f1036]) ).

fof(f1041,definition,
    ( spl0_125
  <=> c2_1(a1987) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ spl0_125
    | spl0_24 ),
    inference(avatar_split_clause,[],[f241,f517,f1041]) ).

fof(f1047,definition,
    ( spl0_126
  <=> c3_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ c3_1(a1985)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1050,plain,
    ( ~ spl0_126
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f165,f650,f1047]) ).

fof(f1052,definition,
    ( spl0_127
  <=> c0_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1054,plain,
    ( ~ c0_1(a1985)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1055,plain,
    ( ~ spl0_127
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f166,f650,f1052]) ).

fof(f1057,definition,
    ( spl0_128
  <=> c1_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1060,plain,
    ( ~ spl0_128
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f239,f650,f1057]) ).

fof(f1063,definition,
    ( spl0_129
  <=> c1_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1066,plain,
    ( spl0_129
    | spl0_9 ),
    inference(avatar_split_clause,[],[f237,f453,f1063]) ).

fof(f1068,definition,
    ( spl0_130
  <=> c0_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1070,plain,
    ( ~ c0_1(a1983)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1071,plain,
    ( ~ spl0_130
    | spl0_9 ),
    inference(avatar_split_clause,[],[f236,f453,f1068]) ).

fof(f1073,definition,
    ( spl0_131
  <=> c3_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1075,plain,
    ( c3_1(a1983)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( spl0_131
    | spl0_9 ),
    inference(avatar_split_clause,[],[f235,f453,f1073]) ).

fof(f1079,definition,
    ( spl0_132
  <=> c3_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1081,plain,
    ( ~ c3_1(a1981)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1082,plain,
    ( ~ spl0_132
    | spl0_56 ),
    inference(avatar_split_clause,[],[f233,f674,f1079]) ).

fof(f1084,definition,
    ( spl0_133
  <=> c1_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1087,plain,
    ( ~ spl0_133
    | spl0_56 ),
    inference(avatar_split_clause,[],[f232,f674,f1084]) ).

fof(f1089,definition,
    ( spl0_134
  <=> c0_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1091,plain,
    ( c0_1(a1981)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1092,plain,
    ( spl0_134
    | spl0_56 ),
    inference(avatar_split_clause,[],[f231,f674,f1089]) ).

fof(f1095,definition,
    ( spl0_135
  <=> c2_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1098,plain,
    ( spl0_135
    | spl0_6 ),
    inference(avatar_split_clause,[],[f229,f440,f1095]) ).

fof(f1100,definition,
    ( spl0_136
  <=> c0_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1102,plain,
    ( ~ c0_1(a1979)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1103,plain,
    ( ~ spl0_136
    | spl0_6 ),
    inference(avatar_split_clause,[],[f228,f440,f1100]) ).

fof(f1105,definition,
    ( spl0_137
  <=> c3_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1107,plain,
    ( c3_1(a1979)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f1108,plain,
    ( spl0_137
    | spl0_6 ),
    inference(avatar_split_clause,[],[f227,f440,f1105]) ).

fof(f1111,definition,
    ( spl0_138
  <=> c3_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1113,plain,
    ( ~ c3_1(a1977)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f1114,plain,
    ( ~ spl0_138
    | spl0_10 ),
    inference(avatar_split_clause,[],[f225,f457,f1111]) ).

fof(f1116,definition,
    ( spl0_139
  <=> c2_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1118,plain,
    ( c2_1(a1977)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1119,plain,
    ( spl0_139
    | spl0_10 ),
    inference(avatar_split_clause,[],[f224,f457,f1116]) ).

fof(f1121,definition,
    ( spl0_140
  <=> c1_1(a1977) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ spl0_140
    | spl0_10 ),
    inference(avatar_split_clause,[],[f223,f457,f1121]) ).

fof(f1127,definition,
    ( spl0_141
  <=> c2_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1130,plain,
    ( spl0_141
    | spl0_15 ),
    inference(avatar_split_clause,[],[f221,f479,f1127]) ).

fof(f1132,definition,
    ( spl0_142
  <=> c1_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1135,plain,
    ( spl0_142
    | spl0_15 ),
    inference(avatar_split_clause,[],[f220,f479,f1132]) ).

fof(f1137,definition,
    ( spl0_143
  <=> c0_1(a1975) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1139,plain,
    ( c0_1(a1975)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1140,plain,
    ( spl0_143
    | spl0_15 ),
    inference(avatar_split_clause,[],[f219,f479,f1137]) ).

fof(f1148,definition,
    ( spl0_145
  <=> c2_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1150,plain,
    ( ~ c2_1(a1974)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f1151,plain,
    ( ~ spl0_145
    | spl0_23 ),
    inference(avatar_split_clause,[],[f216,f511,f1148]) ).

fof(f1153,definition,
    ( spl0_146
  <=> c1_1(a1974) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1156,plain,
    ( ~ spl0_146
    | spl0_23 ),
    inference(avatar_split_clause,[],[f215,f511,f1153]) ).

fof(f1159,definition,
    ( spl0_147
  <=> c2_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1162,plain,
    ( spl0_147
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f213,f596,f1159]) ).

fof(f1164,definition,
    ( spl0_148
  <=> c3_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1166,plain,
    ( c3_1(a1973)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1167,plain,
    ( spl0_148
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f194,f596,f1164]) ).

fof(f1169,definition,
    ( spl0_149
  <=> c1_1(a1973) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1172,plain,
    ( ~ spl0_149
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f212,f596,f1169]) ).

fof(f1175,definition,
    ( spl0_150
  <=> c1_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1178,plain,
    ( spl0_150
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f210,f466,f1175]) ).

fof(f1180,definition,
    ( spl0_151
  <=> c2_1(a1971) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1182,plain,
    ( ~ c2_1(a1971)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1183,plain,
    ( ~ spl0_151
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f209,f466,f1180]) ).

fof(f1206,plain,
    ( c1_1(a2005)
    | c2_1(a2005)
    | ~ spl0_17
    | ~ spl0_63 ),
    inference(resolution,[],[f488,f713]) ).

fof(f1214,definition,
    ( spl0_157
  <=> c1_1(a2005) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1217,plain,
    ( spl0_64
    | spl0_157
    | ~ spl0_17
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1206,f711,f487,f1214,f716]) ).

fof(f1218,plain,
    ( ~ c3_1(a2005)
    | c1_1(a2005)
    | ~ spl0_20
    | ~ spl0_65 ),
    inference(resolution,[],[f500,f723]) ).

fof(f1225,plain,
    ( spl0_157
    | ~ spl0_63
    | ~ spl0_20
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1218,f721,f499,f711,f1214]) ).

fof(f1226,plain,
    ( c2_1(a2005)
    | c1_1(a2005)
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(resolution,[],[f508,f723]) ).

fof(f1243,plain,
    ( c2_1(a2003)
    | c1_1(a2003)
    | ~ spl0_26
    | spl0_93 ),
    inference(resolution,[],[f526,f873]) ).

fof(f1252,definition,
    ( spl0_159
  <=> c2_1(a1972) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1262,definition,
    ( spl0_161
  <=> c1_1(a2041) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1267,definition,
    ( spl0_162
  <=> c1_1(a2012) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1273,definition,
    ( spl0_163
  <=> c2_1(a2000) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1278,definition,
    ( spl0_164
  <=> c2_1(a1998) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1283,definition,
    ( spl0_165
  <=> c1_1(a1996) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1300,definition,
    ( spl0_168
  <=> c2_1(a1985) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1305,definition,
    ( spl0_169
  <=> c2_1(a1983) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1310,definition,
    ( spl0_170
  <=> c2_1(a1981) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1315,definition,
    ( spl0_171
  <=> c1_1(a1979) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1327,plain,
    ( c1_1(a2014)
    | ~ c2_1(a2014)
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(resolution,[],[f558,f835]) ).

fof(f1338,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_36 ),
    inference(resolution,[],[f570,f549]) ).

fof(f1359,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f1338]) ).

fof(f1379,plain,
    ( c2_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(resolution,[],[f588,f723]) ).

fof(f1381,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(resolution,[],[f592,f578]) ).

fof(f1395,plain,
    ( c2_1(a2000)
    | ~ c1_1(a2000)
    | ~ spl0_41
    | spl0_99 ),
    inference(resolution,[],[f592,f905]) ).

fof(f1397,plain,
    ( c2_1(a2009)
    | ~ c1_1(a2009)
    | ~ spl0_41
    | spl0_90 ),
    inference(resolution,[],[f592,f857]) ).

fof(f1404,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1381]) ).

fof(f1407,plain,
    ( ~ c2_1(a1996)
    | c1_1(a1996)
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(resolution,[],[f942,f549]) ).

fof(f1410,plain,
    ( ~ c3_1(a1996)
    | ~ c1_1(a1996)
    | ~ spl0_39
    | ~ spl0_107 ),
    inference(resolution,[],[f947,f583]) ).

fof(f1411,plain,
    ( c1_1(a1996)
    | ~ c2_1(a1996)
    | ~ spl0_33
    | ~ spl0_107 ),
    inference(resolution,[],[f947,f558]) ).

fof(f1412,plain,
    ( ~ c3_1(a1996)
    | c1_1(a1996)
    | ~ spl0_20
    | ~ spl0_107 ),
    inference(resolution,[],[f947,f500]) ).

fof(f1414,plain,
    ( spl0_165
    | ~ spl0_106
    | ~ spl0_20
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1412,f945,f499,f940,f1283]) ).

fof(f1415,plain,
    ( ~ spl0_105
    | spl0_165
    | ~ spl0_33
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1411,f945,f557,f1283,f935]) ).

fof(f1422,plain,
    ( ~ c1_1(a1971)
    | ~ spl0_38
    | ~ spl0_41
    | spl0_151 ),
    inference(resolution,[],[f1404,f1182]) ).

fof(f1444,plain,
    ( ~ spl0_150
    | ~ spl0_38
    | ~ spl0_41
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1422,f1180,f591,f577,f1175]) ).

fof(f1449,plain,
    ( ~ spl0_100
    | spl0_163
    | ~ spl0_41
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1395,f903,f591,f1273,f908]) ).

fof(f1452,plain,
    ( c1_1(a1972)
    | ~ c2_1(a1972)
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(resolution,[],[f755,f558]) ).

fof(f1457,plain,
    ( c1_1(a1977)
    | ~ c2_1(a1977)
    | ~ spl0_36
    | spl0_138 ),
    inference(resolution,[],[f570,f1113]) ).

fof(f1458,plain,
    ( c1_1(a1981)
    | ~ c2_1(a1981)
    | ~ spl0_36
    | spl0_132 ),
    inference(resolution,[],[f570,f1081]) ).

fof(f1459,plain,
    ( c1_1(a1985)
    | ~ c2_1(a1985)
    | ~ spl0_36
    | spl0_126 ),
    inference(resolution,[],[f570,f1049]) ).

fof(f1480,plain,
    ( ~ c3_1(a2005)
    | ~ c1_1(a2005)
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(resolution,[],[f583,f723]) ).

fof(f1488,plain,
    ( c1_1(a2041)
    | ~ c2_1(a2041)
    | ~ spl0_36
    | spl0_78 ),
    inference(resolution,[],[f793,f570]) ).

fof(f1496,plain,
    ( c2_1(a1972)
    | c1_1(a1972)
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(resolution,[],[f508,f755]) ).

fof(f1499,plain,
    ( ~ spl0_159
    | spl0_70
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1452,f753,f557,f748,f1252]) ).

fof(f1506,plain,
    ( ~ c1_1(a1979)
    | ~ c2_1(a1979)
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(resolution,[],[f601,f1107]) ).

fof(f1507,plain,
    ( ~ c1_1(a1983)
    | ~ c2_1(a1983)
    | ~ spl0_43
    | ~ spl0_131 ),
    inference(resolution,[],[f601,f1075]) ).

fof(f1518,plain,
    ( ~ spl0_169
    | ~ spl0_129
    | ~ spl0_43
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1507,f1073,f600,f1063,f1305]) ).

fof(f1519,plain,
    ( ~ c1_1(a1975)
    | ~ c2_1(a1975)
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(resolution,[],[f607,f1139]) ).

fof(f1521,plain,
    ( ~ spl0_141
    | ~ spl0_142
    | ~ spl0_44
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1519,f1137,f606,f1132,f1127]) ).

fof(f1525,plain,
    ( c1_1(a1977)
    | ~ spl0_31
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(resolution,[],[f1359,f1118]) ).

fof(f1528,plain,
    ( c1_1(a1992)
    | ~ spl0_31
    | ~ spl0_36
    | ~ spl0_111 ),
    inference(resolution,[],[f1359,f969]) ).

fof(f1538,plain,
    ( spl0_113
    | ~ spl0_31
    | ~ spl0_36
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1528,f967,f569,f548,f977]) ).

fof(f1540,plain,
    ( spl0_140
    | ~ spl0_31
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1525,f1116,f569,f548,f1121]) ).

fof(f1545,plain,
    ( ~ c2_1(a1973)
    | c1_1(a1973)
    | ~ spl0_31
    | ~ spl0_148 ),
    inference(resolution,[],[f549,f1166]) ).

fof(f1546,plain,
    ( ~ c2_1(a1979)
    | c1_1(a1979)
    | ~ spl0_31
    | ~ spl0_137 ),
    inference(resolution,[],[f549,f1107]) ).

fof(f1548,plain,
    ( ~ c2_1(a1998)
    | c1_1(a1998)
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(resolution,[],[f549,f926]) ).

fof(f1558,plain,
    ( spl0_149
    | ~ spl0_147
    | ~ spl0_31
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1545,f1164,f548,f1159,f1169]) ).

fof(f1559,plain,
    ( ~ spl0_135
    | ~ spl0_171
    | ~ spl0_43
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1506,f1105,f600,f1315,f1095]) ).

fof(f1575,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(resolution,[],[f623,f588]) ).

fof(f1576,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(resolution,[],[f623,f583]) ).

fof(f1582,plain,
    ( ~ c3_1(a1983)
    | c2_1(a1983)
    | ~ spl0_47
    | spl0_130 ),
    inference(resolution,[],[f623,f1070]) ).

fof(f1587,plain,
    ( ~ c3_1(a1993)
    | c2_1(a1993)
    | ~ spl0_47
    | spl0_109 ),
    inference(resolution,[],[f623,f958]) ).

fof(f1589,plain,
    ( ~ c3_1(a1998)
    | c2_1(a1998)
    | ~ spl0_47
    | spl0_102 ),
    inference(resolution,[],[f623,f921]) ).

fof(f1591,plain,
    ( ~ c3_1(a2001)
    | c2_1(a2001)
    | ~ spl0_47
    | spl0_96 ),
    inference(resolution,[],[f623,f889]) ).

fof(f1599,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1576]) ).

fof(f1600,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1575]) ).

fof(f1610,definition,
    ( spl0_175
  <=> c3_1(a1993) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1612,plain,
    ( ~ c3_1(a1993)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f1610]) ).

fof(f1621,plain,
    ( spl0_38
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1599,f622,f582,f577]) ).

fof(f1622,plain,
    ( spl0_38
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1600,f622,f587,f577]) ).

fof(f1624,plain,
    ( c2_1(a1993)
    | ~ c1_1(a1993)
    | ~ spl0_41
    | spl0_175 ),
    inference(resolution,[],[f1612,f592]) ).

fof(f1625,plain,
    ( ~ spl0_108
    | spl0_110
    | ~ spl0_41
    | spl0_175 ),
    inference(avatar_split_clause,[],[f1624,f1610,f591,f961,f951]) ).

fof(f1631,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(resolution,[],[f629,f558]) ).

fof(f1640,plain,
    ( ~ c3_1(a1992)
    | c1_1(a1992)
    | ~ spl0_48
    | spl0_112 ),
    inference(resolution,[],[f629,f974]) ).

fof(f1643,plain,
    ( ~ c3_1(a1998)
    | c1_1(a1998)
    | ~ spl0_48
    | spl0_102 ),
    inference(resolution,[],[f629,f921]) ).

fof(f1653,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1631]) ).

fof(f1658,definition,
    ( spl0_177
  <=> c3_1(a1992) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1660,plain,
    ( ~ c3_1(a1992)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f1658]) ).

fof(f1671,plain,
    ( ~ spl0_165
    | ~ spl0_106
    | ~ spl0_39
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1410,f945,f582,f940,f1283]) ).

fof(f1718,plain,
    ( ~ c1_1(a1987)
    | c2_1(a1987)
    | ~ spl0_38
    | ~ spl0_124 ),
    inference(resolution,[],[f578,f1038]) ).

fof(f1742,plain,
    ( ~ c1_1(a2000)
    | ~ c2_1(a2000)
    | ~ spl0_45
    | spl0_99 ),
    inference(resolution,[],[f614,f905]) ).

fof(f1747,plain,
    ( ~ c1_1(a2041)
    | ~ c2_1(a2041)
    | ~ spl0_45
    | spl0_78 ),
    inference(resolution,[],[f614,f793]) ).

fof(f1752,plain,
    ( ~ spl0_79
    | ~ spl0_161
    | ~ spl0_45
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1747,f791,f613,f1262,f796]) ).

fof(f1755,plain,
    ( ~ spl0_163
    | ~ spl0_100
    | ~ spl0_45
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1742,f903,f613,f908,f1273]) ).

fof(f1761,plain,
    ( ~ c1_1(a1990)
    | ~ c2_1(a1990)
    | ~ spl0_43
    | ~ spl0_119 ),
    inference(resolution,[],[f1011,f601]) ).

fof(f1762,plain,
    ( ~ spl0_117
    | ~ spl0_118
    | ~ spl0_43
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1761,f1009,f600,f1004,f999]) ).

fof(f1763,plain,
    ( spl0_70
    | spl0_159
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1496,f753,f507,f1252,f748]) ).

fof(f1766,plain,
    ( spl0_165
    | ~ spl0_105
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1407,f940,f548,f935,f1283]) ).

fof(f1775,plain,
    ( spl0_98
    | ~ spl0_97
    | ~ spl0_47
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1591,f887,f622,f892,f897]) ).

fof(f1781,plain,
    ( ~ c3_1(a2049)
    | ~ c1_1(a2049)
    | ~ spl0_39
    | ~ spl0_77 ),
    inference(resolution,[],[f787,f583]) ).

fof(f1817,plain,
    ( spl0_125
    | ~ spl0_123
    | ~ spl0_38
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1718,f1036,f577,f1031,f1041]) ).

fof(f1826,plain,
    ( c2_1(a1991)
    | c3_1(a1991)
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(resolution,[],[f995,f534]) ).

fof(f1836,plain,
    ( ~ spl0_84
    | spl0_85
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1327,f833,f557,f828,f823]) ).

fof(f1840,plain,
    ( spl0_104
    | ~ spl0_164
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1548,f924,f548,f1278,f929]) ).

fof(f1842,plain,
    ( spl0_171
    | ~ spl0_135
    | ~ spl0_31
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1546,f1105,f548,f1095,f1315]) ).

fof(f1854,plain,
    ( c1_1(a1998)
    | c2_1(a1998)
    | ~ spl0_17
    | ~ spl0_103 ),
    inference(resolution,[],[f488,f926]) ).

fof(f1856,plain,
    ( c1_1(a1970)
    | c2_1(a1970)
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(resolution,[],[f488,f761]) ).

fof(f1858,plain,
    ( spl0_164
    | spl0_104
    | ~ spl0_17
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1854,f924,f487,f929,f1278]) ).

fof(f1874,plain,
    ( c1_1(a2012)
    | ~ c2_1(a2012)
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(resolution,[],[f558,f851]) ).

fof(f1877,plain,
    ( ~ spl0_88
    | spl0_162
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1874,f849,f557,f1267,f844]) ).

fof(f1883,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1826,f993,f533,f988,f983]) ).

fof(f1889,plain,
    ( ~ spl0_139
    | spl0_140
    | ~ spl0_36
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1457,f1111,f569,f1121,f1116]) ).

fof(f1891,plain,
    ( ~ spl0_168
    | spl0_128
    | ~ spl0_36
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1459,f1047,f569,f1057,f1300]) ).

fof(f1901,plain,
    ( spl0_31
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1653,f628,f557,f548]) ).

fof(f1917,plain,
    ( ~ c1_1(a1996)
    | ~ c2_1(a1996)
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f607,f947]) ).

fof(f1920,plain,
    ( ~ spl0_105
    | ~ spl0_165
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1917,f945,f606,f1283,f935]) ).

fof(f1939,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(resolution,[],[f635,f508]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1939]) ).

fof(f1970,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(resolution,[],[f640,f534]) ).

fof(f1973,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(resolution,[],[f640,f508]) ).

fof(f1985,plain,
    ( c2_1(a2000)
    | c3_1(a2000)
    | ~ spl0_50
    | spl0_101 ),
    inference(resolution,[],[f640,f915]) ).

fof(f1993,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1973]) ).

fof(f1994,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1970]) ).

fof(f1997,plain,
    ( spl0_99
    | spl0_163
    | ~ spl0_50
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1985,f913,f639,f1273,f903]) ).

fof(f2002,plain,
    ( spl0_26
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1993,f639,f507,f525]) ).

fof(f2011,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_51 ),
    inference(resolution,[],[f646,f558]) ).

fof(f2013,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_22
    | ~ spl0_51 ),
    inference(resolution,[],[f646,f508]) ).

fof(f2019,plain,
    ( c1_1(a1985)
    | c3_1(a1985)
    | ~ spl0_51
    | spl0_127 ),
    inference(resolution,[],[f646,f1054]) ).

fof(f2021,plain,
    ( c1_1(a1992)
    | c3_1(a1992)
    | ~ spl0_51
    | spl0_112 ),
    inference(resolution,[],[f646,f974]) ).

fof(f2028,plain,
    ( c1_1(a2041)
    | c3_1(a2041)
    | ~ spl0_51
    | spl0_80 ),
    inference(resolution,[],[f646,f803]) ).

fof(f2032,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f2013]) ).

fof(f2034,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f2011]) ).

fof(f2037,plain,
    ( spl0_78
    | spl0_161
    | ~ spl0_51
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2028,f801,f645,f1262,f791]) ).

fof(f2039,plain,
    ( spl0_177
    | spl0_113
    | ~ spl0_51
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2021,f972,f645,f977,f1658]) ).

fof(f2040,plain,
    ( spl0_126
    | spl0_128
    | ~ spl0_51
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2019,f1052,f645,f1057,f1047]) ).

fof(f2043,plain,
    ( spl0_26
    | ~ spl0_22
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2032,f645,f507,f525]) ).

fof(f2044,plain,
    ( spl0_36
    | ~ spl0_33
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2034,f645,f557,f569]) ).

fof(f2045,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(resolution,[],[f655,f607]) ).

fof(f2047,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_53 ),
    inference(resolution,[],[f655,f558]) ).

fof(f2048,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_20
    | ~ spl0_53 ),
    inference(resolution,[],[f655,f500]) ).

fof(f2052,plain,
    ( ~ c3_1(a1979)
    | ~ c2_1(a1979)
    | ~ spl0_53
    | spl0_136 ),
    inference(resolution,[],[f655,f1102]) ).

fof(f2057,plain,
    ( ~ c3_1(a1992)
    | ~ c2_1(a1992)
    | ~ spl0_53
    | spl0_112 ),
    inference(resolution,[],[f655,f974]) ).

fof(f2063,plain,
    ( ~ c3_1(a2031)
    | ~ c2_1(a2031)
    | ~ spl0_53
    | spl0_83 ),
    inference(resolution,[],[f655,f819]) ).

fof(f2068,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_20
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f2048]) ).

fof(f2069,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_33
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f2047]) ).

fof(f2070,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f2045]) ).

fof(f2073,definition,
    ( spl0_178
  <=> c3_1(a2031) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f2075,plain,
    ( ~ c3_1(a2031)
    | spl0_178 ),
    inference(avatar_component_clause,[],[f2073]) ).

fof(f2076,plain,
    ( ~ spl0_81
    | ~ spl0_178
    | ~ spl0_53
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2063,f817,f654,f2073,f807]) ).

fof(f2077,plain,
    ( ~ spl0_135
    | ~ spl0_137
    | ~ spl0_53
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2052,f1100,f654,f1105,f1095]) ).

fof(f2079,plain,
    ( spl0_31
    | ~ spl0_20
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2068,f654,f499,f548]) ).

fof(f2080,plain,
    ( spl0_31
    | ~ spl0_33
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2069,f654,f557,f548]) ).

fof(f2081,plain,
    ( spl0_43
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2070,f654,f606,f600]) ).

fof(f2082,plain,
    ( spl0_95
    | spl0_94
    | ~ spl0_26
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1243,f871,f525,f876,f881]) ).

fof(f2087,plain,
    ( ~ spl0_79
    | spl0_161
    | ~ spl0_36
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1488,f791,f569,f1262,f796]) ).

fof(f2088,plain,
    ( spl0_169
    | ~ spl0_131
    | ~ spl0_47
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1582,f1068,f622,f1073,f1305]) ).

fof(f2089,plain,
    ( spl0_110
    | ~ spl0_175
    | ~ spl0_47
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1587,f956,f622,f1610,f961]) ).

fof(f2090,plain,
    ( spl0_164
    | ~ spl0_103
    | ~ spl0_47
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1589,f919,f622,f924,f1278]) ).

fof(f2097,plain,
    ( c2_1(a1978)
    | c1_1(a1978)
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(resolution,[],[f739,f508]) ).

fof(f2109,plain,
    ( ~ c1_1(a2031)
    | ~ c2_1(a2031)
    | ~ spl0_45
    | spl0_178 ),
    inference(resolution,[],[f2075,f614]) ).

fof(f2110,plain,
    ( ~ spl0_81
    | ~ spl0_82
    | ~ spl0_45
    | spl0_178 ),
    inference(avatar_split_clause,[],[f2109,f2073,f613,f812,f807]) ).

fof(f2112,plain,
    ( c1_1(a1974)
    | ~ spl0_22
    | ~ spl0_49
    | spl0_145 ),
    inference(resolution,[],[f1959,f1150]) ).

fof(f2125,plain,
    ( c1_1(a1970)
    | ~ spl0_22
    | ~ spl0_49
    | spl0_73 ),
    inference(resolution,[],[f1959,f766]) ).

fof(f2128,plain,
    ( spl0_74
    | ~ spl0_22
    | ~ spl0_49
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2125,f764,f634,f507,f769]) ).

fof(f2129,plain,
    ( spl0_146
    | ~ spl0_22
    | ~ spl0_49
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2112,f1148,f634,f507,f1153]) ).

fof(f2131,plain,
    ( spl0_73
    | spl0_74
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1856,f759,f487,f769,f764]) ).

fof(f2258,plain,
    ( c1_1(a1992)
    | ~ c2_1(a1992)
    | ~ spl0_55
    | spl0_112 ),
    inference(resolution,[],[f671,f974]) ).

fof(f2274,plain,
    ( ~ spl0_111
    | spl0_113
    | ~ spl0_55
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2258,f972,f670,f977,f967]) ).

fof(f2289,plain,
    ( c3_1(a2000)
    | ~ c2_1(a2000)
    | ~ spl0_57
    | spl0_101 ),
    inference(resolution,[],[f680,f915]) ).

fof(f2301,plain,
    ( ~ c3_1(a1979)
    | ~ c1_1(a1979)
    | ~ spl0_59
    | spl0_136 ),
    inference(resolution,[],[f688,f1102]) ).

fof(f2303,plain,
    ( ~ c3_1(a1983)
    | ~ c1_1(a1983)
    | ~ spl0_59
    | spl0_130 ),
    inference(resolution,[],[f688,f1070]) ).

fof(f2311,plain,
    ( ~ c3_1(a2031)
    | ~ c1_1(a2031)
    | ~ spl0_59
    | spl0_83 ),
    inference(resolution,[],[f688,f819]) ).

fof(f2317,plain,
    ( ~ spl0_82
    | ~ spl0_178
    | ~ spl0_59
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2311,f817,f687,f2073,f812]) ).

fof(f2318,plain,
    ( ~ spl0_129
    | ~ spl0_131
    | ~ spl0_59
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2303,f1068,f687,f1073,f1063]) ).

fof(f2320,plain,
    ( ~ spl0_171
    | ~ spl0_137
    | ~ spl0_59
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2301,f1100,f687,f1105,f1315]) ).

fof(f2323,plain,
    ( spl0_157
    | spl0_64
    | ~ spl0_22
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1226,f721,f507,f716,f1214]) ).

fof(f2326,plain,
    ( spl0_67
    | spl0_66
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2097,f737,f507,f727,f732]) ).

fof(f2337,plain,
    ( spl0_113
    | ~ spl0_177
    | ~ spl0_48
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1640,f972,f628,f1658,f977]) ).

fof(f2341,plain,
    ( ~ spl0_111
    | ~ spl0_177
    | ~ spl0_53
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2057,f972,f654,f1658,f967]) ).

fof(f2345,plain,
    ( ~ spl0_170
    | spl0_133
    | ~ spl0_36
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1458,f1079,f569,f1084,f1310]) ).

fof(f2359,plain,
    ( c1_1(a1992)
    | ~ c2_1(a1992)
    | ~ spl0_36
    | spl0_177 ),
    inference(resolution,[],[f1660,f570]) ).

fof(f2361,plain,
    ( ~ spl0_111
    | spl0_113
    | ~ spl0_36
    | spl0_177 ),
    inference(avatar_split_clause,[],[f2359,f1658,f569,f977,f967]) ).

fof(f2366,plain,
    ( c2_1(a1981)
    | c1_1(a1981)
    | ~ spl0_22
    | ~ spl0_134 ),
    inference(resolution,[],[f508,f1091]) ).

fof(f2379,plain,
    ( spl0_133
    | spl0_170
    | ~ spl0_22
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2366,f1089,f507,f1310,f1084]) ).

fof(f2401,plain,
    ( c1_1(a1981)
    | c3_1(a1981)
    | ~ spl0_35
    | ~ spl0_134 ),
    inference(resolution,[],[f567,f1091]) ).

fof(f2413,plain,
    ( spl0_132
    | spl0_133
    | ~ spl0_35
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2401,f1089,f566,f1084,f1079]) ).

fof(f2419,plain,
    ( ~ spl0_157
    | ~ spl0_63
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1480,f721,f582,f711,f1214]) ).

fof(f2421,plain,
    ( ~ spl0_75
    | ~ spl0_76
    | ~ spl0_39
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1781,f785,f582,f780,f775]) ).

fof(f2426,plain,
    ( ~ spl0_163
    | spl0_99
    | ~ spl0_57
    | spl0_101 ),
    inference(avatar_split_clause,[],[f2289,f913,f679,f903,f1273]) ).

fof(f2429,plain,
    ( spl0_104
    | ~ spl0_103
    | ~ spl0_48
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1643,f919,f628,f924,f929]) ).

fof(f2468,plain,
    ( ~ c1_1(a2012)
    | ~ c2_1(a2012)
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(resolution,[],[f607,f851]) ).

fof(f2471,plain,
    ( ~ spl0_88
    | ~ spl0_162
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2468,f849,f606,f1267,f844]) ).

fof(f2472,plain,
    ( ~ spl0_157
    | spl0_64
    | ~ spl0_40
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1379,f721,f587,f716,f1214]) ).

fof(f2476,plain,
    ( ~ spl0_91
    | spl0_92
    | ~ spl0_41
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1397,f855,f591,f865,f860]) ).

fof(f2500,plain,
    ( c2_1(a1985)
    | ~ spl0_28
    | ~ spl0_50
    | spl0_126 ),
    inference(resolution,[],[f1994,f1049]) ).

fof(f2501,plain,
    ( c2_1(a1989)
    | ~ spl0_28
    | ~ spl0_50
    | spl0_120 ),
    inference(resolution,[],[f1994,f1017]) ).

fof(f2504,plain,
    ( c2_1(a2003)
    | ~ spl0_28
    | ~ spl0_50
    | spl0_93 ),
    inference(resolution,[],[f1994,f873]) ).

fof(f2512,plain,
    ( spl0_94
    | ~ spl0_28
    | ~ spl0_50
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2504,f871,f639,f533,f876]) ).

fof(f2513,plain,
    ( spl0_122
    | ~ spl0_28
    | ~ spl0_50
    | spl0_120 ),
    inference(avatar_split_clause,[],[f2501,f1015,f639,f533,f1025]) ).

fof(f2514,plain,
    ( spl0_168
    | ~ spl0_28
    | ~ spl0_50
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2500,f1047,f639,f533,f1300]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s2,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s3,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s4,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s5,plain,
    ( spl0_2
    | spl0_12
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s7,plain,
    ( spl0_16
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s8,plain,
    ( spl0_16
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s11,plain,
    ( spl0_16
    | ~ spl0_24
    | ~ spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s14,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_21
    | spl0_28 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s15,plain,
    ( spl0_16
    | spl0_20
    | ~ spl0_24
    | spl0_28 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s17,plain,
    ( spl0_16
    | spl0_20
    | spl0_31
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s18,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_27
    | spl0_33 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s20,plain,
    ( spl0_16
    | spl0_31
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_16
    | spl0_39 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s25,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | spl0_16
    | spl0_39 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s26,plain,
    ( spl0_14
    | spl0_16
    | ~ spl0_24
    | spl0_40 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s27,plain,
    ( spl0_16
    | spl0_21
    | ~ spl0_23
    | spl0_41 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s28,plain,
    ( ~ spl0_6
    | spl0_11
    | spl0_16
    | spl0_41 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s29,plain,
    ( spl0_16
    | spl0_34
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s30,plain,
    ( spl0_12
    | spl0_16
    | ~ spl0_24
    | spl0_43 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s31,plain,
    ( spl0_2
    | spl0_16
    | spl0_36
    | spl0_43 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s33,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | spl0_16
    | spl0_44 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s34,plain,
    ( spl0_16
    | spl0_31
    | spl0_38
    | spl0_44 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s35,plain,
    ( spl0_16
    | spl0_38
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s36,plain,
    ( spl0_16
    | spl0_30
    | spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s37,plain,
    ( spl0_16
    | spl0_33
    | spl0_41
    | spl0_45 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s38,plain,
    ( spl0_16
    | ~ spl0_32
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s39,plain,
    ( spl0_16
    | spl0_33
    | spl0_47 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s41,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_16
    | spl0_48 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_16
    | spl0_20
    | spl0_48 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s44,plain,
    ( spl0_16
    | ~ spl0_24
    | spl0_35
    | spl0_49 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s47,plain,
    ( spl0_16
    | ~ spl0_25
    | spl0_39
    | spl0_50 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s48,plain,
    ( spl0_16
    | spl0_46
    | spl0_48
    | spl0_50 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s49,plain,
    ( spl0_16
    | spl0_22
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s50,plain,
    ( spl0_16
    | spl0_30
    | spl0_48
    | spl0_51 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s51,plain,
    ( spl0_14
    | spl0_16
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s52,plain,
    ( spl0_16
    | ~ spl0_24
    | spl0_33
    | spl0_53 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s53,plain,
    ( ~ spl0_9
    | spl0_16
    | spl0_40
    | spl0_53 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s54,plain,
    ( spl0_16
    | spl0_33
    | spl0_41
    | spl0_53 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s55,plain,
    ( spl0_16
    | spl0_36
    | spl0_43
    | spl0_53 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s56,plain,
    ( spl0_16
    | spl0_33
    | spl0_44
    | spl0_53 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s57,plain,
    ( spl0_16
    | spl0_47
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s59,plain,
    ( spl0_16
    | spl0_31
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s60,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_16
    | spl0_55 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s61,plain,
    ( spl0_16
    | spl0_49
    | spl0_55
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s62,plain,
    ( spl0_16
    | spl0_17
    | spl0_57 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s64,plain,
    ( ~ spl0_6
    | spl0_16
    | spl0_54
    | spl0_59 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s65,plain,
    ( ~ spl0_10
    | spl0_16
    | spl0_28
    | spl0_59 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s76,plain,
    ( spl0_8
    | spl0_63 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s77,plain,
    ( spl0_8
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s78,plain,
    ( spl0_8
    | spl0_65 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s80,plain,
    ( ~ spl0_54
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s81,plain,
    ( ~ spl0_54
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s82,plain,
    ( ~ spl0_54
    | spl0_68 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s85,plain,
    ( spl0_13
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s86,plain,
    ( spl0_13
    | spl0_71 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s88,plain,
    ( ~ spl0_7
    | spl0_72 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s89,plain,
    ( ~ spl0_7
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s90,plain,
    ( ~ spl0_7
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s92,plain,
    ( ~ spl0_19
    | spl0_75 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s93,plain,
    ( ~ spl0_19
    | spl0_76 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s94,plain,
    ( ~ spl0_19
    | spl0_77 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s96,plain,
    ( ~ spl0_18
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s97,plain,
    ( ~ spl0_18
    | spl0_79 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s98,plain,
    ( ~ spl0_18
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s100,plain,
    ( spl0_27
    | spl0_81 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s101,plain,
    ( spl0_27
    | spl0_82 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s102,plain,
    ( spl0_27
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s104,plain,
    ( ~ spl0_11
    | spl0_84 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s105,plain,
    ( ~ spl0_11
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s106,plain,
    ( ~ spl0_11
    | spl0_86 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s109,plain,
    ( ~ spl0_34
    | spl0_88 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s110,plain,
    ( ~ spl0_34
    | spl0_89 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s112,plain,
    ( ~ spl0_2
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s113,plain,
    ( ~ spl0_2
    | spl0_91 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s114,plain,
    ( ~ spl0_2
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s115,plain,
    ( ~ spl0_2
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s116,plain,
    ( spl0_32
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s117,plain,
    ( spl0_32
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s118,plain,
    ( spl0_32
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s120,plain,
    ( spl0_5
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s121,plain,
    ( spl0_5
    | spl0_97 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s122,plain,
    ( spl0_5
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s124,plain,
    ( ~ spl0_1
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s125,plain,
    ( ~ spl0_1
    | spl0_100 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s126,plain,
    ( ~ spl0_1
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s127,plain,
    ( ~ spl0_1
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s128,plain,
    ( ~ spl0_21
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s129,plain,
    ( ~ spl0_21
    | spl0_103 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s130,plain,
    ( ~ spl0_21
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s132,plain,
    ( ~ spl0_3
    | spl0_105 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | spl0_106 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | spl0_107 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s136,plain,
    ( spl0_4
    | spl0_108 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s137,plain,
    ( spl0_4
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s138,plain,
    ( spl0_4
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s140,plain,
    ( spl0_25
    | spl0_111 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s141,plain,
    ( spl0_25
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s142,plain,
    ( spl0_25
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s144,plain,
    ( ~ spl0_46
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s145,plain,
    ( ~ spl0_46
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s146,plain,
    ( ~ spl0_46
    | spl0_116 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s148,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s149,plain,
    ( ~ spl0_30
    | spl0_118 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s150,plain,
    ( ~ spl0_30
    | spl0_119 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s152,plain,
    ( ~ spl0_14
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s154,plain,
    ( ~ spl0_14
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s156,plain,
    ( spl0_24
    | spl0_123 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s157,plain,
    ( spl0_24
    | spl0_124 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s158,plain,
    ( spl0_24
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s160,plain,
    ( ~ spl0_52
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s161,plain,
    ( ~ spl0_52
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s162,plain,
    ( ~ spl0_52
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s164,plain,
    ( spl0_9
    | spl0_129 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s165,plain,
    ( spl0_9
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s166,plain,
    ( spl0_9
    | spl0_131 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s168,plain,
    ( spl0_56
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s169,plain,
    ( spl0_56
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s170,plain,
    ( spl0_56
    | spl0_134 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s172,plain,
    ( spl0_6
    | spl0_135 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s173,plain,
    ( spl0_6
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s174,plain,
    ( spl0_6
    | spl0_137 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s176,plain,
    ( spl0_10
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s177,plain,
    ( spl0_10
    | spl0_139 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s178,plain,
    ( spl0_10
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s180,plain,
    ( spl0_15
    | spl0_141 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s181,plain,
    ( spl0_15
    | spl0_142 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s182,plain,
    ( spl0_15
    | spl0_143 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s185,plain,
    ( spl0_23
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s186,plain,
    ( spl0_23
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s188,plain,
    ( ~ spl0_42
    | spl0_147 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s189,plain,
    ( ~ spl0_42
    | spl0_148 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s190,plain,
    ( ~ spl0_42
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s192,plain,
    ( ~ spl0_12
    | spl0_150 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s193,plain,
    ( ~ spl0_12
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s201,plain,
    ( ~ spl0_17
    | ~ spl0_63
    | spl0_64
    | spl0_157 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s203,plain,
    ( ~ spl0_20
    | ~ spl0_63
    | ~ spl0_65
    | spl0_157 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s236,plain,
    ( ~ spl0_20
    | ~ spl0_106
    | ~ spl0_107
    | spl0_165 ),
    inference(sat_conversion,[],[f1414]) ).

cnf(s237,plain,
    ( ~ spl0_33
    | ~ spl0_105
    | ~ spl0_107
    | spl0_165 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s239,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | ~ spl0_150
    | spl0_151 ),
    inference(sat_conversion,[],[f1444]) ).

cnf(s244,plain,
    ( ~ spl0_41
    | spl0_99
    | ~ spl0_100
    | spl0_163 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s256,plain,
    ( ~ spl0_33
    | spl0_70
    | ~ spl0_71
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s258,plain,
    ( ~ spl0_43
    | ~ spl0_129
    | ~ spl0_131
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s259,plain,
    ( ~ spl0_44
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1521]) ).

cnf(s262,plain,
    ( ~ spl0_31
    | ~ spl0_36
    | ~ spl0_111
    | spl0_113 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s264,plain,
    ( ~ spl0_31
    | ~ spl0_36
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f1540]) ).

cnf(s269,plain,
    ( ~ spl0_31
    | ~ spl0_147
    | ~ spl0_148
    | spl0_149 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s270,plain,
    ( ~ spl0_43
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s279,plain,
    ( spl0_38
    | ~ spl0_39
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s280,plain,
    ( spl0_38
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s281,plain,
    ( ~ spl0_41
    | ~ spl0_108
    | spl0_110
    | spl0_175 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s292,plain,
    ( ~ spl0_39
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s299,plain,
    ( ~ spl0_45
    | spl0_78
    | ~ spl0_79
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s302,plain,
    ( ~ spl0_45
    | spl0_99
    | ~ spl0_100
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s307,plain,
    ( ~ spl0_43
    | ~ spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1762]) ).

cnf(s308,plain,
    ( ~ spl0_22
    | spl0_70
    | ~ spl0_71
    | spl0_159 ),
    inference(sat_conversion,[],[f1763]) ).

cnf(s311,plain,
    ( ~ spl0_31
    | ~ spl0_105
    | ~ spl0_106
    | spl0_165 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s320,plain,
    ( ~ spl0_47
    | spl0_96
    | ~ spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s332,plain,
    ( ~ spl0_38
    | ~ spl0_123
    | ~ spl0_124
    | spl0_125 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s343,plain,
    ( ~ spl0_33
    | ~ spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s347,plain,
    ( ~ spl0_31
    | ~ spl0_103
    | spl0_104
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s349,plain,
    ( ~ spl0_31
    | ~ spl0_135
    | ~ spl0_137
    | spl0_171 ),
    inference(sat_conversion,[],[f1842]) ).

cnf(s353,plain,
    ( ~ spl0_17
    | ~ spl0_103
    | spl0_104
    | spl0_164 ),
    inference(sat_conversion,[],[f1858]) ).

cnf(s355,plain,
    ( ~ spl0_33
    | ~ spl0_88
    | ~ spl0_89
    | spl0_162 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s361,plain,
    ( ~ spl0_28
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s367,plain,
    ( ~ spl0_36
    | spl0_138
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s369,plain,
    ( ~ spl0_36
    | spl0_126
    | spl0_128
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s379,plain,
    ( spl0_31
    | ~ spl0_33
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1901]) ).

cnf(s383,plain,
    ( ~ spl0_44
    | ~ spl0_105
    | ~ spl0_107
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1920]) ).

cnf(s389,plain,
    ( ~ spl0_50
    | spl0_99
    | spl0_101
    | spl0_163 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s394,plain,
    ( ~ spl0_22
    | spl0_26
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s396,plain,
    ( ~ spl0_51
    | spl0_78
    | spl0_80
    | spl0_161 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s398,plain,
    ( ~ spl0_51
    | spl0_112
    | spl0_113
    | spl0_177 ),
    inference(sat_conversion,[],[f2039]) ).

cnf(s399,plain,
    ( ~ spl0_51
    | spl0_126
    | spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s402,plain,
    ( ~ spl0_22
    | spl0_26
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s403,plain,
    ( ~ spl0_33
    | spl0_36
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f2044]) ).

cnf(s405,plain,
    ( ~ spl0_53
    | ~ spl0_81
    | spl0_83
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2076]) ).

cnf(s406,plain,
    ( ~ spl0_53
    | ~ spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s408,plain,
    ( ~ spl0_20
    | spl0_31
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f2079]) ).

cnf(s409,plain,
    ( spl0_31
    | ~ spl0_33
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f2080]) ).

cnf(s410,plain,
    ( spl0_43
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f2081]) ).

cnf(s411,plain,
    ( ~ spl0_26
    | spl0_93
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f2082]) ).

cnf(s416,plain,
    ( ~ spl0_36
    | spl0_78
    | ~ spl0_79
    | spl0_161 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s417,plain,
    ( ~ spl0_47
    | spl0_130
    | ~ spl0_131
    | spl0_169 ),
    inference(sat_conversion,[],[f2088]) ).

cnf(s418,plain,
    ( ~ spl0_47
    | spl0_109
    | spl0_110
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2089]) ).

cnf(s419,plain,
    ( ~ spl0_47
    | spl0_102
    | ~ spl0_103
    | spl0_164 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s422,plain,
    ( ~ spl0_45
    | ~ spl0_81
    | ~ spl0_82
    | spl0_178 ),
    inference(sat_conversion,[],[f2110]) ).

cnf(s424,plain,
    ( ~ spl0_22
    | ~ spl0_49
    | spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s425,plain,
    ( ~ spl0_22
    | ~ spl0_49
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s427,plain,
    ( ~ spl0_17
    | ~ spl0_72
    | spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s436,plain,
    ( ~ spl0_55
    | ~ spl0_111
    | spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f2274]) ).

cnf(s439,plain,
    ( ~ spl0_59
    | ~ spl0_82
    | spl0_83
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2317]) ).

cnf(s440,plain,
    ( ~ spl0_59
    | ~ spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2318]) ).

cnf(s442,plain,
    ( ~ spl0_59
    | spl0_136
    | ~ spl0_137
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2320]) ).

cnf(s445,plain,
    ( ~ spl0_22
    | spl0_64
    | ~ spl0_65
    | spl0_157 ),
    inference(sat_conversion,[],[f2323]) ).

cnf(s448,plain,
    ( ~ spl0_22
    | spl0_66
    | spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s459,plain,
    ( ~ spl0_48
    | spl0_112
    | spl0_113
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s463,plain,
    ( ~ spl0_53
    | ~ spl0_111
    | spl0_112
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s467,plain,
    ( ~ spl0_36
    | spl0_132
    | spl0_133
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2345]) ).

cnf(s474,plain,
    ( ~ spl0_36
    | ~ spl0_111
    | spl0_113
    | spl0_177 ),
    inference(sat_conversion,[],[f2361]) ).

cnf(s475,plain,
    ( ~ spl0_22
    | spl0_133
    | ~ spl0_134
    | spl0_170 ),
    inference(sat_conversion,[],[f2379]) ).

cnf(s476,plain,
    ( ~ spl0_35
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s483,plain,
    ( ~ spl0_39
    | ~ spl0_63
    | ~ spl0_65
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2419]) ).

cnf(s485,plain,
    ( ~ spl0_39
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2421]) ).

cnf(s490,plain,
    ( ~ spl0_57
    | spl0_99
    | spl0_101
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s493,plain,
    ( ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f2429]) ).

cnf(s501,plain,
    ( ~ spl0_44
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2471]) ).

cnf(s502,plain,
    ( ~ spl0_40
    | spl0_64
    | ~ spl0_65
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2472]) ).

cnf(s506,plain,
    ( ~ spl0_41
    | spl0_90
    | ~ spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f2476]) ).

cnf(s511,plain,
    ( ~ spl0_28
    | ~ spl0_50
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f2512]) ).

cnf(s512,plain,
    ( ~ spl0_28
    | ~ spl0_50
    | spl0_120
    | spl0_122 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s513,plain,
    ( ~ spl0_28
    | ~ spl0_50
    | spl0_126
    | spl0_168 ),
    inference(sat_conversion,[],[f2514]) ).

cnf(s514,plain,
    ( spl0_10
    | ~ spl0_36
    | ~ spl0_31 ),
    inference(rat,[],[s264,s177,s178]) ).

cnf(s515,plain,
    ( spl0_47
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s262,s140,s142,s47,s513,s65,s514,s369,s31,s270,s442,s349,s59,s399,s160,s161,s162,s57,s406,s172,s173,s174,s24,s292,s237,s39,s135,s134,s133,s132,s1]) ).

cnf(s516,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s349,s270,s172,s174,s24,s292,s311,s135,s134,s133,s132]) ).

cnf(s517,plain,
    ( spl0_53
    | spl0_31
    | spl0_36
    | spl0_41
    | spl0_16 ),
    inference(rat,[],[s403,s59,s54]) ).

cnf(s518,plain,
    ( spl0_5
    | ~ spl0_47 ),
    inference(rat,[],[s320,s120,s121,s122]) ).

cnf(s521,plain,
    ( ~ spl0_54
    | ~ spl0_22 ),
    inference(rat,[],[s448,s80,s81,s82]) ).

cnf(s522,plain,
    ( spl0_56
    | ~ spl0_35 ),
    inference(rat,[],[s476,s168,s169,s170]) ).

cnf(s523,plain,
    ( spl0_24
    | ~ spl0_38 ),
    inference(rat,[],[s332,s156,s157,s158]) ).

cnf(s524,plain,
    ( spl0_8
    | ~ spl0_22
    | ~ spl0_39 ),
    inference(rat,[],[s483,s445,s76,s77,s78]) ).

cnf(s525,plain,
    ( ~ spl0_6
    | ~ spl0_56
    | ~ spl0_48
    | spl0_26
    | spl0_33
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s424,s89,s90,s3,s524,s61,s49,s436,s398,s459,s140,s141,s142,s11,s523,s279,s24,s135,s1,s515]) ).

cnf(s527,plain,
    ( ~ spl0_6
    | ~ spl0_48
    | spl0_26
    | spl0_33
    | ~ spl0_36
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s398,s459,s49,s141,s142,s475,s11,s467,s523,s168,s169,s170,s279,s525,s24,s135,s1,s515]) ).

cnf(s528,plain,
    ( spl0_6
    | ~ spl0_53 ),
    inference(rat,[],[s406,s172,s173,s174]) ).

cnf(s530,plain,
    ( ~ spl0_28
    | spl0_94
    | spl0_93
    | spl0_48
    | spl0_16 ),
    inference(rat,[],[s361,s144,s145,s146,s48,s511]) ).

cnf(s531,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | spl0_28
    | spl0_44
    | spl0_53
    | spl0_16 ),
    inference(rat,[],[s440,s164,s165,s166,s53,s502,s203,s76,s77,s78,s65,s33]) ).

cnf(s532,plain,
    ( spl0_10
    | ~ spl0_36 ),
    inference(rat,[],[s177,s367,s176,s178]) ).

cnf(s533,plain,
    ( spl0_28
    | ~ spl0_24
    | spl0_44
    | spl0_53
    | ~ spl0_10
    | spl0_16 ),
    inference(rat,[],[s531,s15]) ).

cnf(s534,plain,
    ( ~ spl0_46
    | ~ spl0_28 ),
    inference(rat,[],[s361,s144,s145,s146]) ).

cnf(s535,plain,
    ( ~ spl0_14
    | ~ spl0_50
    | ~ spl0_28 ),
    inference(rat,[],[s512,s152,s154]) ).

cnf(s537,plain,
    ( spl0_25
    | ~ spl0_31
    | ~ spl0_36 ),
    inference(rat,[],[s262,s140,s142]) ).

cnf(s539,plain,
    ( ~ spl0_53
    | spl0_31
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s522,s20,s525,s527,s530,s15,s523,s411,s279,s116,s117,s118,s24,s17,s528,s408,s409,s135,s1,s515]) ).

cnf(s540,plain,
    ( spl0_36
    | ~ spl0_51
    | spl0_53
    | ~ spl0_47
    | spl0_16
    | spl0_2 ),
    inference(rat,[],[s258,s417,s164,s165,s166,s53,s280,s523,s52,s403,s31]) ).

cnf(s541,plain,
    ( spl0_33
    | ~ spl0_10
    | spl0_53
    | spl0_31
    | ~ spl0_47
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_107
    | spl0_16 ),
    inference(rat,[],[s493,s128,s129,s130,s530,s8,s65,s402,s440,s411,s164,s165,s166,s116,s117,s118,s53,s17,s280,s236,s523,s383,s52,s56,s59]) ).

cnf(s542,plain,
    ( spl0_31
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s399,s160,s161,s162,s51,s535,s48,s534,s533,s523,s34,s383,s379,s237,s541,s532,s540,s59,s539,s135,s134,s133,s132,s1,s515]) ).

cnf(s543,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s369,s513,s160,s162,s51,s535,s65,s442,s349,s47,s528,s172,s173,s174,s537,s532,s24,s31,s292,s516,s311,s542,s132,s133,s134,s135,s1]) ).

cnf(s544,plain,
    ( ~ spl0_53
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s424,s89,s90,s3,s61,s524,s522,s49,s20,s398,s474,s436,s459,s530,s140,s141,s142,s15,s11,s523,s411,s279,s116,s117,s118,s24,s17,s39,s528,s408,s409,s115,s543]) ).

cnf(s545,plain,
    ( spl0_31
    | spl0_1 ),
    inference(rat,[],[s399,s160,s161,s162,s51,s535,s48,s534,s533,s523,s34,s259,s180,s181,s182,s41,s532,s379,s517,s59,s54,s544,s115,s506,s112,s113,s114,s543]) ).

cnf(s546,plain,
    ( ~ spl0_3
    | ~ spl0_39
    | ~ spl0_31 ),
    inference(rat,[],[s311,s292,s132,s133,s134]) ).

cnf(s547,plain,
    ( ~ spl0_53
    | spl0_1 ),
    inference(rat,[],[s405,s422,s100,s101,s102,s18,s546,s37,s343,s104,s105,s106,s24,s28,s528,s115,s506,s112,s113,s114,s543,s545]) ).

cnf(s548,plain,
    ( ~ spl0_11
    | ~ spl0_33 ),
    inference(rat,[],[s343,s104,s105,s106]) ).

cnf(s549,plain,
    ( ~ spl0_50
    | spl0_1 ),
    inference(rat,[],[s369,s513,s160,s162,s51,s535,s65,s532,s55,s270,s442,s349,s172,s545,s174,s173,s28,s548,s54,s547,s115,s506,s112,s113,s114,s543]) ).

cnf(s553,plain,
    ( ~ spl0_21
    | ~ spl0_48 ),
    inference(rat,[],[s493,s128,s129,s130]) ).

cnf(s556,plain,
    ( ~ spl0_19
    | ~ spl0_39 ),
    inference(rat,[],[s485,s92,s93,s94]) ).

cnf(s557,plain,
    ( ~ spl0_42
    | ~ spl0_31 ),
    inference(rat,[],[s269,s188,s189,s190]) ).

cnf(s558,plain,
    spl0_1,
    inference(rat,[],[s355,s501,s109,s110,s29,s557,s33,s524,s8,s553,s48,s47,s549,s534,s65,s537,s532,s55,s270,s442,s349,s172,s173,s174,s28,s548,s54,s547,s545,s506,s112,s113,s114,s115,s543]) ).

cnf(s559,plain,
    ~ spl0_16,
    inference(rat,[],[s127,s558]) ).

cnf(s560,plain,
    ~ spl0_101,
    inference(rat,[],[s126,s558]) ).

cnf(s561,plain,
    spl0_100,
    inference(rat,[],[s125,s558]) ).

cnf(s562,plain,
    ~ spl0_99,
    inference(rat,[],[s124,s558]) ).

cnf(s563,plain,
    ( ~ spl0_39
    | spl0_8
    | ~ spl0_31 ),
    inference(rat,[],[s43,s553,s203,s8,s483,s524,s546,s78,s76,s559]) ).

cnf(s564,plain,
    ( spl0_53
    | ~ spl0_31
    | spl0_41 ),
    inference(rat,[],[s369,s513,s160,s162,s51,s535,s47,s563,s33,s501,s355,s65,s109,s110,s537,s532,s29,s55,s270,s442,s349,s172,s173,s174,s28,s548,s54,s557,s559]) ).

cnf(s565,plain,
    ( spl0_27
    | ~ spl0_59
    | ~ spl0_45 ),
    inference(rat,[],[s422,s439,s100,s101,s102]) ).

cnf(s566,plain,
    ( spl0_21
    | ~ spl0_31
    | spl0_41 ),
    inference(rat,[],[s280,s35,s523,s44,s522,s61,s436,s140,s141,s142,s383,s47,s311,s546,s132,s133,s134,s18,s565,s64,s425,s521,s185,s186,s8,s27,s39,s389,s302,s37,s548,s28,s528,s564,s559,s562,s560,s561]) ).

cnf(s567,plain,
    ( ~ spl0_31
    | spl0_41 ),
    inference(rat,[],[s419,s347,s128,s129,s130,s566,s39,s548,s28,s528,s564,s559]) ).

cnf(s568,plain,
    ( ~ spl0_33
    | spl0_41 ),
    inference(rat,[],[s399,s160,s161,s162,s51,s535,s48,s534,s65,s440,s164,s165,s166,s4,s532,s517,s59,s548,s379,s409,s567,s559]) ).

cnf(s569,plain,
    ( ~ spl0_39
    | spl0_41 ),
    inference(rat,[],[s425,s61,s185,s186,s522,s27,s49,s20,s553,s436,s396,s416,s530,s140,s141,s142,s299,s15,s11,s96,s97,s98,s523,s7,s279,s556,s39,s37,s411,s117,s116,s118,s17,s408,s54,s568,s567,s559]) ).

cnf(s570,plain,
    ( spl0_23
    | spl0_41 ),
    inference(rat,[],[s425,s185,s186,s49,s398,s61,s522,s20,s474,s463,s54,s567,s436,s141,s142,s140,s47,s569,s389,s302,s37,s568,s562,s560,s561,s559]) ).

cnf(s571,plain,
    spl0_41,
    inference(rat,[],[s34,s410,s523,s307,s15,s148,s149,s150,s530,s50,s553,s27,s570,s398,s463,s140,s141,s142,s47,s569,s116,s117,s389,s17,s302,s408,s37,s54,s568,s567,s559,s560,s562,s561]) ).

cnf(s572,plain,
    spl0_163,
    inference(rat,[],[s244,s562,s561,s571]) ).

cnf(s573,plain,
    ~ spl0_45,
    inference(rat,[],[s302,s562,s561,s572]) ).

cnf(s574,plain,
    ~ spl0_57,
    inference(rat,[],[s490,s562,s560,s572]) ).

cnf(s575,plain,
    spl0_17,
    inference(rat,[],[s62,s559,s574]) ).

cnf(s576,plain,
    ~ spl0_2,
    inference(rat,[],[s506,s112,s113,s114,s571]) ).

cnf(s577,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | ~ spl0_33 ),
    inference(rat,[],[s501,s355,s109,s110]) ).

cnf(s578,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | ~ spl0_33
    | ~ spl0_31 ),
    inference(rat,[],[s349,s270,s172,s174,s64,s521,s8,s553,s530,s116,s117,s38,s417,s258,s29,s577,s534,s65,s440,s164,s165,s166,s33,s4,s557,s548,s559]) ).

cnf(s579,plain,
    ( spl0_6
    | ~ spl0_43
    | ~ spl0_31 ),
    inference(rat,[],[s349,s270,s172,s174]) ).

cnf(s580,plain,
    ~ spl0_7,
    inference(rat,[],[s427,s88,s89,s90,s575]) ).

cnf(s582,plain,
    ( ~ spl0_36
    | ~ spl0_33
    | ~ spl0_31 ),
    inference(rat,[],[s511,s116,s117,s38,s417,s258,s29,s577,s35,s523,s26,s534,s535,s502,s65,s47,s201,s440,s563,s76,s77,s78,s164,s165,s166,s578,s4,s537,s532,s557,s548,s559,s575]) ).

cnf(s583,plain,
    ( spl0_9
    | ~ spl0_28
    | ~ spl0_6
    | ~ spl0_43 ),
    inference(rat,[],[s530,s553,s116,s117,s8,s38,s521,s417,s64,s258,s440,s164,s165,s166,s534,s559]) ).

cnf(s584,plain,
    ( spl0_13
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(rat,[],[s256,s308,s85,s86]) ).

cnf(s585,plain,
    ( spl0_25
    | ~ spl0_55 ),
    inference(rat,[],[s436,s140,s141,s142]) ).

cnf(s586,plain,
    ( spl0_32
    | ~ spl0_26 ),
    inference(rat,[],[s411,s116,s117,s118]) ).

cnf(s587,plain,
    ( spl0_4
    | ~ spl0_47 ),
    inference(rat,[],[s281,s418,s136,s137,s138,s571]) ).

cnf(s588,plain,
    ( ~ spl0_22
    | ~ spl0_9
    | spl0_46
    | spl0_40
    | spl0_39
    | ~ spl0_33 ),
    inference(rat,[],[s383,s237,s132,s134,s2,s587,s518,s38,s586,s394,s47,s585,s35,s239,s192,s193,s5,s60,s584,s559,s571,s576]) ).

cnf(s589,plain,
    ( spl0_104
    | ~ spl0_103
    | ~ spl0_31 ),
    inference(rat,[],[s353,s347,s575]) ).

cnf(s590,plain,
    ( ~ spl0_21
    | ~ spl0_31 ),
    inference(rat,[],[s589,s129,s130]) ).

cnf(s591,plain,
    ( ~ spl0_28
    | spl0_39
    | ~ spl0_6
    | ~ spl0_43
    | ~ spl0_33
    | ~ spl0_22 ),
    inference(rat,[],[s588,s583,s534,s502,s201,s76,s78,s77,s3,s580,s575]) ).

cnf(s592,plain,
    ( ~ spl0_33
    | ~ spl0_31 ),
    inference(rat,[],[s259,s180,s181,s182,s14,s591,s35,s239,s192,s193,s5,s584,s502,s201,s563,s76,s77,s78,s3,s579,s31,s582,s8,s590,s559,s571,s576,s575,s580]) ).

cnf(s593,plain,
    ~ spl0_31,
    inference(rat,[],[s239,s192,s193,s30,s523,s35,s502,s445,s77,s78,s383,s25,s311,s546,s132,s133,s134,s307,s2,s148,s149,s150,s587,s518,s36,s39,s592,s8,s590,s571,s559,s573]) ).

cnf(s594,plain,
    ~ spl0_33,
    inference(rat,[],[s399,s160,s161,s162,s51,s535,s48,s534,s65,s440,s164,s165,s166,s4,s532,s403,s59,s548,s379,s409,s559,s593]) ).

cnf(s595,plain,
    spl0_47,
    inference(rat,[],[s39,s559,s594]) ).

cnf(s596,plain,
    spl0_30,
    inference(rat,[],[s36,s573,s559,s594]) ).

cnf(s597,plain,
    spl0_5,
    inference(rat,[],[s518,s595]) ).

cnf(s598,plain,
    spl0_4,
    inference(rat,[],[s587,s595]) ).

cnf(s599,plain,
    spl0_119,
    inference(rat,[],[s150,s596]) ).

cnf(s600,plain,
    spl0_118,
    inference(rat,[],[s149,s596]) ).

cnf(s601,plain,
    spl0_117,
    inference(rat,[],[s148,s596]) ).

cnf(s602,plain,
    spl0_3,
    inference(rat,[],[s2,s597,s598]) ).

cnf(s603,plain,
    ~ spl0_43,
    inference(rat,[],[s307,s599,s600,s601]) ).

cnf(s604,plain,
    spl0_107,
    inference(rat,[],[s134,s602]) ).

cnf(s605,plain,
    spl0_106,
    inference(rat,[],[s133,s602]) ).

cnf(s606,plain,
    spl0_105,
    inference(rat,[],[s132,s602]) ).

cnf(s607,plain,
    spl0_36,
    inference(rat,[],[s31,s559,s576,s603]) ).

cnf(s608,plain,
    spl0_10,
    inference(rat,[],[s532,s607]) ).

cnf(s609,plain,
    spl0_53,
    inference(rat,[],[s541,s559,s604,s595,s594,s605,s593,s606,s608]) ).

cnf(s610,plain,
    ~ spl0_20,
    inference(rat,[],[s408,s593,s609]) ).

cnf(s612,plain,
    ~ spl0_44,
    inference(rat,[],[s410,s603,s609]) ).

cnf(s613,plain,
    ~ spl0_32,
    inference(rat,[],[s17,s593,s559,s610]) ).

cnf(s615,plain,
    spl0_38,
    inference(rat,[],[s34,s593,s559,s612]) ).

cnf(s619,plain,
    ~ spl0_26,
    inference(rat,[],[s586,s613]) ).

cnf(s623,plain,
    spl0_24,
    inference(rat,[],[s523,s615]) ).

cnf(s625,plain,
    ~ spl0_25,
    inference(rat,[],[s11,s619,s559,s623]) ).

cnf(s631,plain,
    ~ spl0_113,
    inference(rat,[],[s142,s625]) ).

cnf(s632,plain,
    ~ spl0_112,
    inference(rat,[],[s141,s625]) ).

cnf(s633,plain,
    spl0_111,
    inference(rat,[],[s140,s625]) ).

cnf(s645,plain,
    ~ spl0_177,
    inference(rat,[],[s463,s633,s609,s632]) ).

cnf(s646,plain,
    $false,
    inference(rat,[],[s474,s631,s607,s633,s645]) ).

fof(f2515,plain,
    $false,
    inference(avatar_sat_refutation,[],[s646]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN484+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n005.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 16:15:01 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.32  % (907766)Will run a generic schedule for satisfiability detection.
% 0.19/0.32  % (907773)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3362605153:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32  % (907772)% WARNING: option uhcvi not known.
% 0.19/0.32  % (907771)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=332599592_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32  % (907772)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3792187767:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32  % (907774)dis+10_1_sil=32000:sp=arity:random_seed=3795262813:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32  % (907775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1024362087:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32  % (907776)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1520512840:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32  % (907777)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2716644498:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32  % Detected minimum model sizes of [1]
% 0.19/0.32  % Detected maximum model sizes of [31]
% 0.19/0.32  % TRYING [1]
% 0.19/0.32  % TRYING [2]
% 0.19/0.32  % TRYING [3]
% 0.19/0.32  % TRYING [4]
% 0.19/0.32  % (907777) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-907766-907777"...
% 0.19/0.32  % (907777)...printing done.
% 0.19/0.32  % (907777)Refutation found. Thanks to Tanya!
% 0.19/0.32  % SZS status Theorem for theBenchmark
% 0.19/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.33  % (907777)------------------------------
% 0.19/0.33  % (907777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33  % (907777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33  % (907777)CaDiCaL version: 2.1.3
% 0.19/0.33  % (907777)Termination reason: Refutation
% 0.19/0.33  % (907777)Time elapsed: 0.039 s
% 0.19/0.33  % (907777)Peak memory usage: 14 MB
% 0.19/0.33  % (907777)Instructions burned: 67 (million)
% 0.19/0.33  % (907766)Success in time 0.084 s
% 0.19/0.33  % Vampire exiting
%------------------------------------------------------------------------------