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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN455+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 : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:55 PM UTC 2026

% Result   : Theorem 0.08s 0.26s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  140
% Syntax   : Number of formulae    :  877 (   7 unt; 139 def)
%            Number of atoms       : 5918 (   0 equ)
%            Maximal formula atoms :  603 (   6 avg)
%            Number of connectives : 7614 (2573   ~;3717   |; 915   &)
%                                         ( 139 <=>; 270  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   98 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  176 ( 175 usr; 172 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  663 (   0 sgn 663   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a901)
          & ~ c1_1(a901)
          & ~ c3_1(a901) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a902)
          & c2_1(a902)
          & ~ c1_1(a902) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a903)
          & ~ c2_1(a903)
          & ~ c3_1(a903) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a904)
          & ~ c1_1(a904)
          & ~ c2_1(a904) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c3_1(a905)
          & ~ c0_1(a905)
          & ~ c2_1(a905) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a906)
          & c2_1(a906)
          & ~ c3_1(a906) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a907)
          & c1_1(a907)
          & ~ c2_1(a907) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a908)
          & ~ c2_1(a908)
          & ~ c3_1(a908) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a909)
          & ~ c0_1(a909)
          & ~ c3_1(a909) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a910)
          & ~ c1_1(a910)
          & ~ c3_1(a910) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a912)
          & c2_1(a912)
          & ~ c0_1(a912) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a914)
          & c3_1(a914)
          & ~ c2_1(a914) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a917)
          & c3_1(a917)
          & ~ c2_1(a917) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a921)
          & ~ c0_1(a921)
          & ~ c3_1(a921) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a923)
          & ~ c0_1(a923)
          & ~ c1_1(a923) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a924)
          & ~ c0_1(a924)
          & ~ c1_1(a924) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a926)
          & c2_1(a926)
          & ~ c3_1(a926) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a936)
          & ~ c2_1(a936)
          & ~ c3_1(a936) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a937)
          & ~ c0_1(a937)
          & ~ c2_1(a937) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a938)
          & c3_1(a938)
          & ~ c0_1(a938) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a939)
          & ~ c1_1(a939)
          & ~ c3_1(a939) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a946)
          & ~ c2_1(a946)
          & ~ c3_1(a946) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a949)
          & c3_1(a949)
          & ~ c1_1(a949) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a954)
          & c3_1(a954)
          & ~ c0_1(a954) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c0_1(a959)
          & ~ c1_1(a959)
          & ~ c2_1(a959) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a960)
          & c3_1(a960)
          & ~ c1_1(a960) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a979)
          & c1_1(a979)
          & ~ c3_1(a979) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a900)
          & c2_1(a900)
          & c3_1(a900) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a916)
          & c1_1(a916)
          & c3_1(a916) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a933)
          & c2_1(a933)
          & c3_1(a933) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a942)
          & c1_1(a942)
          & c2_1(a942) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | ~ c1_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c3_1(X4)
              | ~ c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c3_1(X5)
              | ~ c0_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) ) )
        | hskp27 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | ~ c0_1(X9)
              | ~ c3_1(X9) ) )
        | hskp0 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c0_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c1_1(X12)
              | ~ c2_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c2_1(X13) ) )
        | hskp1
        | hskp2 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c3_1(X16)
              | ~ c0_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | ~ c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | c3_1(X19)
              | ~ c0_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp3
        | hskp4 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) )
        | hskp5 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | hskp6
        | hskp7 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c1_1(X25)
              | ~ c3_1(X25) ) )
        | hskp8 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | c2_1(X27)
              | ~ c0_1(X27) ) )
        | hskp9 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | hskp27
        | hskp10 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c3_1(X29)
              | ~ c1_1(X29) ) )
        | hskp6
        | hskp11 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | ~ c2_1(X31)
              | ~ c3_1(X31) ) )
        | hskp5 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c3_1(X32)
              | ~ c2_1(X32) ) )
        | hskp28
        | hskp12 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) )
        | hskp2
        | hskp0 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c3_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c1_1(X37)
              | ~ c2_1(X37) ) )
        | hskp3
        | hskp13 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) )
        | hskp7
        | hskp14 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp15 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | hskp28
        | hskp16 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) )
        | hskp7
        | hskp13 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) )
        | hskp11
        | hskp27 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c2_1(X44)
              | c3_1(X44) ) )
        | hskp27
        | hskp9 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c0_1(X46)
              | ~ c3_1(X46) ) )
        | hskp29 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c1_1(X48)
              | ~ c3_1(X48) ) )
        | hskp15 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | hskp12
        | hskp17 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | ~ c0_1(X50) ) )
        | hskp18
        | hskp19 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp20
        | hskp18 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | ~ c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp9 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c3_1(X54)
              | ~ c0_1(X54) ) )
        | hskp30
        | hskp7 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c0_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | c3_1(X56)
              | ~ c1_1(X56) ) )
        | hskp27 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | ~ c0_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c0_1(X58)
              | ~ c1_1(X58) ) )
        | hskp0 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c0_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | hskp21 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c0_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | hskp1 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c0_1(X63)
              | ~ c3_1(X63) ) )
        | hskp28 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c3_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | hskp22 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) )
        | hskp0 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c3_1(X68)
              | ~ c0_1(X68) ) )
        | hskp6
        | hskp14 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) )
        | hskp1
        | hskp23 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | ~ c1_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | ~ c1_1(X71)
              | ~ c3_1(X71) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp16 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) )
        | hskp30
        | hskp9 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c0_1(X78)
              | ~ c1_1(X78) ) )
        | hskp30
        | hskp24 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | ~ c0_1(X80)
              | ~ c1_1(X80) ) )
        | hskp25 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp1
        | hskp10 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | hskp5
        | hskp7 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp25
        | hskp21 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp10
        | hskp21 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | hskp27
        | hskp13 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | hskp30
        | hskp17 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c1_1(X87)
              | ~ c2_1(X87) ) )
        | hskp20
        | hskp8 )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp23
        | hskp15 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) )
        | hskp11
        | hskp12 )
      & ( hskp26
        | hskp5
        | hskp21 )
      & ( hskp20
        | hskp14
        | hskp4 )
      & ( hskp12
        | hskp13
        | hskp21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a901)
            & ~ c1_1(a901)
            & ~ c3_1(a901) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a902)
            & c2_1(a902)
            & ~ c1_1(a902) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a903)
            & ~ c2_1(a903)
            & ~ c3_1(a903) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a904)
            & ~ c1_1(a904)
            & ~ c2_1(a904) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c3_1(a905)
            & ~ c0_1(a905)
            & ~ c2_1(a905) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a906)
            & c2_1(a906)
            & ~ c3_1(a906) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a907)
            & c1_1(a907)
            & ~ c2_1(a907) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a908)
            & ~ c2_1(a908)
            & ~ c3_1(a908) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a909)
            & ~ c0_1(a909)
            & ~ c3_1(a909) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a910)
            & ~ c1_1(a910)
            & ~ c3_1(a910) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a912)
            & c2_1(a912)
            & ~ c0_1(a912) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a914)
            & c3_1(a914)
            & ~ c2_1(a914) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a917)
            & c3_1(a917)
            & ~ c2_1(a917) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a921)
            & ~ c0_1(a921)
            & ~ c3_1(a921) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a923)
            & ~ c0_1(a923)
            & ~ c1_1(a923) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a924)
            & ~ c0_1(a924)
            & ~ c1_1(a924) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a926)
            & c2_1(a926)
            & ~ c3_1(a926) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a936)
            & ~ c2_1(a936)
            & ~ c3_1(a936) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a937)
            & ~ c0_1(a937)
            & ~ c2_1(a937) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a938)
            & c3_1(a938)
            & ~ c0_1(a938) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a939)
            & ~ c1_1(a939)
            & ~ c3_1(a939) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a946)
            & ~ c2_1(a946)
            & ~ c3_1(a946) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a949)
            & c3_1(a949)
            & ~ c1_1(a949) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a954)
            & c3_1(a954)
            & ~ c0_1(a954) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c0_1(a959)
            & ~ c1_1(a959)
            & ~ c2_1(a959) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a960)
            & c3_1(a960)
            & ~ c1_1(a960) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a979)
            & c1_1(a979)
            & ~ c3_1(a979) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a900)
            & c2_1(a900)
            & c3_1(a900) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a916)
            & c1_1(a916)
            & c3_1(a916) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a933)
            & c2_1(a933)
            & c3_1(a933) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a942)
            & c1_1(a942)
            & c2_1(a942) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c1_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c3_1(X4)
                | ~ c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c3_1(X5)
                | ~ c0_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) ) )
          | hskp27 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | ~ c0_1(X9)
                | ~ c3_1(X9) ) )
          | hskp0 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c1_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c2_1(X13) ) )
          | hskp1
          | hskp2 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c3_1(X16)
                | ~ c0_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c3_1(X19)
                | ~ c0_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp3
          | hskp4 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp5 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | hskp6
          | hskp7 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c1_1(X25)
                | ~ c3_1(X25) ) )
          | hskp8 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | c2_1(X27)
                | ~ c0_1(X27) ) )
          | hskp9 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | hskp27
          | hskp10 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c3_1(X29)
                | ~ c1_1(X29) ) )
          | hskp6
          | hskp11 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c2_1(X31)
                | ~ c3_1(X31) ) )
          | hskp5 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c3_1(X32)
                | ~ c2_1(X32) ) )
          | hskp28
          | hskp12 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) )
          | hskp2
          | hskp0 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c3_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) )
          | hskp3
          | hskp13 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | hskp7
          | hskp14 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp15 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp28
          | hskp16 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp7
          | hskp13 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | hskp11
          | hskp27 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | c3_1(X44) ) )
          | hskp27
          | hskp9 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c0_1(X46)
                | ~ c3_1(X46) ) )
          | hskp29 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c1_1(X48)
                | ~ c3_1(X48) ) )
          | hskp15 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp12
          | hskp17 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | ~ c0_1(X50) ) )
          | hskp18
          | hskp19 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp20
          | hskp18 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp9 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | hskp30
          | hskp7 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c0_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) )
          | hskp27 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c0_1(X58)
                | ~ c1_1(X58) ) )
          | hskp0 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp21 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | hskp1 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) )
          | hskp28 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c3_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | hskp22 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | hskp0 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c3_1(X68)
                | ~ c0_1(X68) ) )
          | hskp6
          | hskp14 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) )
          | hskp1
          | hskp23 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | ~ c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp16 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) )
          | hskp30
          | hskp9 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | hskp30
          | hskp24 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) )
          | hskp25 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp1
          | hskp10 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | hskp5
          | hskp7 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp25
          | hskp21 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp10
          | hskp21 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp27
          | hskp13 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp30
          | hskp17 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp20
          | hskp8 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp23
          | hskp15 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp11
          | hskp12 )
        & ( hskp26
          | hskp5
          | hskp21 )
        & ( hskp20
          | hskp14
          | hskp4 )
        & ( hskp12
          | hskp13
          | hskp21 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a901)
        & ~ c1_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a902)
        & c2_1(a902)
        & ~ c1_1(a902) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a903)
        & ~ c2_1(a903)
        & ~ c3_1(a903) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a904)
        & ~ c1_1(a904)
        & ~ c2_1(a904) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a905)
        & ~ c0_1(a905)
        & ~ c2_1(a905) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a906)
        & c2_1(a906)
        & ~ c3_1(a906) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a907)
        & c1_1(a907)
        & ~ c2_1(a907) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a908)
        & ~ c2_1(a908)
        & ~ c3_1(a908) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a909)
        & ~ c0_1(a909)
        & ~ c3_1(a909) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a910)
        & ~ c1_1(a910)
        & ~ c3_1(a910) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a912)
        & c2_1(a912)
        & ~ c0_1(a912) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a914)
        & c3_1(a914)
        & ~ c2_1(a914) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a917)
        & c3_1(a917)
        & ~ c2_1(a917) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a921)
        & ~ c0_1(a921)
        & ~ c3_1(a921) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a923)
        & ~ c0_1(a923)
        & ~ c1_1(a923) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a924)
        & ~ c0_1(a924)
        & ~ c1_1(a924) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a926)
        & c2_1(a926)
        & ~ c3_1(a926) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a936)
        & ~ c2_1(a936)
        & ~ c3_1(a936) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a937)
        & ~ c0_1(a937)
        & ~ c2_1(a937) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a938)
        & c3_1(a938)
        & ~ c0_1(a938) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a939)
        & ~ c1_1(a939)
        & ~ c3_1(a939) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a946)
        & ~ c2_1(a946)
        & ~ c3_1(a946) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a949)
        & c3_1(a949)
        & ~ c1_1(a949) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a954)
        & c3_1(a954)
        & ~ c0_1(a954) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a959)
        & ~ c1_1(a959)
        & ~ c2_1(a959) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a960)
        & c3_1(a960)
        & ~ c1_1(a960) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a979)
        & c1_1(a979)
        & ~ c3_1(a979) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a900)
        & c2_1(a900)
        & c3_1(a900) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a916)
        & c1_1(a916)
        & c3_1(a916) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a933)
        & c2_1(a933)
        & c3_1(a933) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a942)
        & c1_1(a942)
        & c2_1(a942) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | ~ c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | ~ c1_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c3_1(X4)
            | ~ c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c3_1(X5)
            | ~ c0_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) ) )
      | hskp27 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | ~ c0_1(X9)
            | ~ c3_1(X9) ) )
      | hskp0 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c0_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c1_1(X12)
            | ~ c2_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c2_1(X13) ) )
      | hskp1
      | hskp2 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c3_1(X16)
            | ~ c0_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | ~ c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c2_1(X19)
            | c3_1(X19)
            | ~ c0_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | hskp3
      | hskp4 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) )
      | hskp5 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | hskp6
      | hskp7 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c1_1(X25)
            | ~ c3_1(X25) ) )
      | hskp8 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c1_1(X27)
            | c2_1(X27)
            | ~ c0_1(X27) ) )
      | hskp9 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | hskp27
      | hskp10 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c3_1(X29)
            | ~ c1_1(X29) ) )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c3_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | ~ c2_1(X31)
            | ~ c3_1(X31) ) )
      | hskp5 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c3_1(X32)
            | ~ c2_1(X32) ) )
      | hskp28
      | hskp12 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c2_1(X33) ) )
      | hskp2
      | hskp0 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c3_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c1_1(X37)
            | ~ c2_1(X37) ) )
      | hskp3
      | hskp13 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) )
      | hskp7
      | hskp14 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp15 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | hskp28
      | hskp16 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c2_1(X42)
            | ~ c3_1(X42) ) )
      | hskp7
      | hskp13 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c2_1(X43)
            | c3_1(X43) ) )
      | hskp11
      | hskp27 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c2_1(X44)
            | c3_1(X44) ) )
      | hskp27
      | hskp9 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c2_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | ~ c0_1(X46)
            | ~ c3_1(X46) ) )
      | hskp29 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | ~ c1_1(X48)
            | ~ c3_1(X48) ) )
      | hskp15 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | ~ c0_1(X49) ) )
      | hskp12
      | hskp17 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | ~ c0_1(X50) ) )
      | hskp18
      | hskp19 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp20
      | hskp18 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c3_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp9 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c3_1(X54)
            | ~ c0_1(X54) ) )
      | hskp30
      | hskp7 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | ~ c0_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | c3_1(X56)
            | ~ c1_1(X56) ) )
      | hskp27 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | ~ c0_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c0_1(X58)
            | ~ c1_1(X58) ) )
      | hskp0 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | ~ c0_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) )
      | hskp21 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | ~ c0_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | hskp1 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c0_1(X63)
            | ~ c3_1(X63) ) )
      | hskp28 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c3_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c1_1(X65)
            | ~ c3_1(X65) ) )
      | hskp22 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | ~ c0_1(X67)
            | ~ c1_1(X67) ) )
      | hskp0 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | c3_1(X68)
            | ~ c0_1(X68) ) )
      | hskp6
      | hskp14 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | c3_1(X69)
            | ~ c0_1(X69) ) )
      | hskp1
      | hskp23 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | c3_1(X70)
            | ~ c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c1_1(X71)
            | ~ c3_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c0_1(X73)
            | ~ c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp16 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | c3_1(X77)
            | ~ c1_1(X77) ) )
      | hskp30
      | hskp9 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | ~ c0_1(X78)
            | ~ c1_1(X78) ) )
      | hskp30
      | hskp24 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | ~ c0_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | ~ c0_1(X80)
            | ~ c1_1(X80) ) )
      | hskp25 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | hskp1
      | hskp10 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | ~ c0_1(X82)
            | ~ c3_1(X82) ) )
      | hskp5
      | hskp7 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp25
      | hskp21 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp10
      | hskp21 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | hskp27
      | hskp13 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c0_1(X86)
            | ~ c2_1(X86) ) )
      | hskp30
      | hskp17 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c1_1(X87)
            | ~ c2_1(X87) ) )
      | hskp20
      | hskp8 )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp23
      | hskp15 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c2_1(X89)
            | ~ c3_1(X89) ) )
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp5
      | hskp21 )
    & ( hskp20
      | hskp14
      | hskp4 )
    & ( hskp12
      | hskp13
      | hskp21 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a901)
        & ~ c1_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a902)
        & c2_1(a902)
        & ~ c1_1(a902) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a903)
        & ~ c2_1(a903)
        & ~ c3_1(a903) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a904)
        & ~ c1_1(a904)
        & ~ c2_1(a904) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a905)
        & ~ c0_1(a905)
        & ~ c2_1(a905) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a906)
        & c2_1(a906)
        & ~ c3_1(a906) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a907)
        & c1_1(a907)
        & ~ c2_1(a907) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a908)
        & ~ c2_1(a908)
        & ~ c3_1(a908) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a909)
        & ~ c0_1(a909)
        & ~ c3_1(a909) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a910)
        & ~ c1_1(a910)
        & ~ c3_1(a910) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a912)
        & c2_1(a912)
        & ~ c0_1(a912) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a914)
        & c3_1(a914)
        & ~ c2_1(a914) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a917)
        & c3_1(a917)
        & ~ c2_1(a917) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a921)
        & ~ c0_1(a921)
        & ~ c3_1(a921) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a923)
        & ~ c0_1(a923)
        & ~ c1_1(a923) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a924)
        & ~ c0_1(a924)
        & ~ c1_1(a924) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a926)
        & c2_1(a926)
        & ~ c3_1(a926) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a936)
        & ~ c2_1(a936)
        & ~ c3_1(a936) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a937)
        & ~ c0_1(a937)
        & ~ c2_1(a937) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a938)
        & c3_1(a938)
        & ~ c0_1(a938) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a939)
        & ~ c1_1(a939)
        & ~ c3_1(a939) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a946)
        & ~ c2_1(a946)
        & ~ c3_1(a946) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a949)
        & c3_1(a949)
        & ~ c1_1(a949) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a954)
        & c3_1(a954)
        & ~ c0_1(a954) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a959)
        & ~ c1_1(a959)
        & ~ c2_1(a959) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a960)
        & c3_1(a960)
        & ~ c1_1(a960) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a979)
        & c1_1(a979)
        & ~ c3_1(a979) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a900)
        & c2_1(a900)
        & c3_1(a900) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a916)
        & c1_1(a916)
        & c3_1(a916) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a933)
        & c2_1(a933)
        & c3_1(a933) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a942)
        & c1_1(a942)
        & c2_1(a942) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c0_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 )
      | hskp27 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c0_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c1_1(X27)
          | c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp27
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp28
      | hskp12 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp7
      | hskp14 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp7
      | hskp13 )
    & ( ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | hskp11
      | hskp27 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | c3_1(X44)
          | ~ ndr1_0 )
      | hskp27
      | hskp9 )
    & ( ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp12
      | hskp17 )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp30
      | hskp7 )
    & ( ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X57] :
          ( c1_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X61] :
          ( c1_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X68] :
          ( c2_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | hskp6
      | hskp14 )
    & ( ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp1
      | hskp23 )
    & ( ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | hskp30
      | hskp24 )
    & ( ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp1
      | hskp10 )
    & ( ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp5
      | hskp7 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp25
      | hskp21 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp10
      | hskp21 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp27
      | hskp13 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp30
      | hskp17 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp20
      | hskp8 )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp23
      | hskp15 )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp5
      | hskp21 )
    & ( hskp20
      | hskp14
      | hskp4 )
    & ( hskp12
      | hskp13
      | hskp21 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a901)
        & ~ c1_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a902)
        & c2_1(a902)
        & ~ c1_1(a902) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a903)
        & ~ c2_1(a903)
        & ~ c3_1(a903) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a904)
        & ~ c1_1(a904)
        & ~ c2_1(a904) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a905)
        & ~ c0_1(a905)
        & ~ c2_1(a905) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a906)
        & c2_1(a906)
        & ~ c3_1(a906) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a907)
        & c1_1(a907)
        & ~ c2_1(a907) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a908)
        & ~ c2_1(a908)
        & ~ c3_1(a908) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a909)
        & ~ c0_1(a909)
        & ~ c3_1(a909) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a910)
        & ~ c1_1(a910)
        & ~ c3_1(a910) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a912)
        & c2_1(a912)
        & ~ c0_1(a912) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a914)
        & c3_1(a914)
        & ~ c2_1(a914) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a917)
        & c3_1(a917)
        & ~ c2_1(a917) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a921)
        & ~ c0_1(a921)
        & ~ c3_1(a921) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a923)
        & ~ c0_1(a923)
        & ~ c1_1(a923) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a924)
        & ~ c0_1(a924)
        & ~ c1_1(a924) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a926)
        & c2_1(a926)
        & ~ c3_1(a926) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a936)
        & ~ c2_1(a936)
        & ~ c3_1(a936) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a937)
        & ~ c0_1(a937)
        & ~ c2_1(a937) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a938)
        & c3_1(a938)
        & ~ c0_1(a938) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a939)
        & ~ c1_1(a939)
        & ~ c3_1(a939) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a946)
        & ~ c2_1(a946)
        & ~ c3_1(a946) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a949)
        & c3_1(a949)
        & ~ c1_1(a949) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a954)
        & c3_1(a954)
        & ~ c0_1(a954) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c0_1(a959)
        & ~ c1_1(a959)
        & ~ c2_1(a959) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a960)
        & c3_1(a960)
        & ~ c1_1(a960) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a979)
        & c1_1(a979)
        & ~ c3_1(a979) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a900)
        & c2_1(a900)
        & c3_1(a900) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a916)
        & c1_1(a916)
        & c3_1(a916) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a933)
        & c2_1(a933)
        & c3_1(a933) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a942)
        & c1_1(a942)
        & c2_1(a942) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c0_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 )
      | hskp27 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c0_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c2_1(X19)
          | c3_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c1_1(X27)
          | c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp27
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp28
      | hskp12 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp3
      | hskp13 )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp7
      | hskp14 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp7
      | hskp13 )
    & ( ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | hskp11
      | hskp27 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | c3_1(X44)
          | ~ ndr1_0 )
      | hskp27
      | hskp9 )
    & ( ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | ~ c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp12
      | hskp17 )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp30
      | hskp7 )
    & ( ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X57] :
          ( c1_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X61] :
          ( c1_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X68] :
          ( c2_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | hskp6
      | hskp14 )
    & ( ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp1
      | hskp23 )
    & ( ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | hskp30
      | hskp24 )
    & ( ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp1
      | hskp10 )
    & ( ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp5
      | hskp7 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp25
      | hskp21 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp10
      | hskp21 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp27
      | hskp13 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp30
      | hskp17 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp20
      | hskp8 )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp23
      | hskp15 )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp5
      | hskp21 )
    & ( hskp20
      | hskp14
      | hskp4 )
    & ( hskp12
      | hskp13
      | hskp21 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp12
    | hskp13
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp20
    | hskp14
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X89] :
      ( ~ c1_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ! [X88] :
      ( ~ c0_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp23
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X85] :
      ( c3_1(X85)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ ndr1_0
      | hskp27
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X84] :
      ( c2_1(X84)
      | ~ c1_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp10
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X83] :
      ( c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp25
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X82] :
      ( c2_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp5
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X72,X73,X74] :
      ( c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X70,X71] :
      ( c2_1(X70)
      | c3_1(X70)
      | ~ c1_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | ~ c1_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X68] :
      ( c2_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | hskp6
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X63] :
      ( c1_1(X63)
      | ~ c0_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X62,X61] :
      ( c1_1(X61)
      | ~ c0_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X59,X60] :
      ( c1_1(X59)
      | ~ c0_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | c3_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X54] :
      ( c1_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | hskp30
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X52,X53] :
      ( c1_1(X52)
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | ~ c0_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X49] :
      ( c1_1(X49)
      | c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | hskp12
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X43] :
      ( c1_1(X43)
      | c2_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | hskp11
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X42] :
      ( c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | hskp7
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X41] :
      ( c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | hskp28
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X38] :
      ( c0_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | hskp7
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X37] :
      ( c0_1(X37)
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | hskp3
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | hskp2
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X32] :
      ( c0_1(X32)
      | c3_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0
      | hskp28
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | c0_1(X31)
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X28] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | hskp27
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | c1_1(X27)
      | c2_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | ~ c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | c2_1(X15)
      | c3_1(X15)
      | ~ ndr1_0
      | c2_1(X16)
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10,X11,X12] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | c3_1(X11)
      | ~ c0_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c3_1(X12)
      | ~ c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | ~ c1_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c3_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0
      | c1_1(X5)
      | c3_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp30
    | c2_1(a942) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp30
    | c1_1(a942) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp30
    | c0_1(a942) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp28
    | c3_1(a916) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp28
    | c1_1(a916) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp28
    | c0_1(a916) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp27
    | c3_1(a900) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp27
    | c2_1(a900) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp27
    | c1_1(a900) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp25
    | ~ c1_1(a960) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp25
    | c3_1(a960) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp25
    | c0_1(a960) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp23
    | ~ c0_1(a954) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp23
    | c3_1(a954) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp23
    | c1_1(a954) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp21
    | ~ c3_1(a946) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp21
    | ~ c2_1(a946) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp21
    | ~ c0_1(a946) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp20
    | ~ c3_1(a939) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp20
    | c0_1(a939) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp17
    | ~ c3_1(a936) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp17
    | ~ c2_1(a936) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp17
    | ~ c1_1(a936) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp16
    | ~ c3_1(a926) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp16
    | c2_1(a926) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp16
    | c1_1(a926) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp15
    | ~ c1_1(a924) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp15
    | ~ c0_1(a924) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp15
    | c2_1(a924) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp14
    | ~ c1_1(a923) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp14
    | ~ c0_1(a923) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp14
    | c3_1(a923) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp13
    | ~ c3_1(a921) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp13
    | ~ c0_1(a921) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp13
    | c2_1(a921) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp12
    | ~ c2_1(a917) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp12
    | c3_1(a917) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp12
    | c1_1(a917) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp11
    | ~ c2_1(a914) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp11
    | c3_1(a914) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp11
    | c0_1(a914) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp10
    | ~ c0_1(a912) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp10
    | c2_1(a912) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp10
    | c1_1(a912) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp9
    | ~ c3_1(a910) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp9
    | ~ c1_1(a910) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp9
    | c2_1(a910) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp8
    | ~ c3_1(a909) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp8
    | ~ c0_1(a909) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp8
    | c1_1(a909) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp7
    | ~ c3_1(a908) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp7
    | ~ c2_1(a908) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp7
    | c1_1(a908) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp6
    | ~ c2_1(a907) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp6
    | c1_1(a907) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp6
    | c0_1(a907) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp5
    | ~ c3_1(a906) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp5
    | c2_1(a906) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp5
    | c0_1(a906) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp4
    | ~ c0_1(a905) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp4
    | c3_1(a905) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp3
    | ~ c2_1(a904) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp3
    | ~ c1_1(a904) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp3
    | c0_1(a904) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp2
    | ~ c3_1(a903) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp2
    | ~ c2_1(a903) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp2
    | c0_1(a903) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp1
    | ~ c1_1(a902) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp1
    | c2_1(a902) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp1
    | c0_1(a902) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp0
    | ~ c3_1(a901) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp0
    | ~ c1_1(a901) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp0
    | ~ c0_1(a901) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp0
    | c0_1(a901) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f193,plain,
    ( hskp1
    | ~ c0_1(a902) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f194,plain,
    ( hskp1
    | ~ c2_1(a902) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f195,plain,
    ( hskp1
    | ~ c1_1(a902) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f197,plain,
    ( ~ hskp2
    | ~ c0_1(a903) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f198,plain,
    ( ~ hskp2
    | c2_1(a903) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f200,plain,
    ( hskp3
    | ~ c0_1(a904) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f201,plain,
    ( hskp3
    | ~ c1_1(a904) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f202,plain,
    ( hskp3
    | c2_1(a904) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f203,plain,
    ( ~ hskp4
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f204,plain,
    ( ~ hskp4
    | c0_1(a905) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f207,plain,
    ( ~ hskp5
    | ~ c0_1(a906) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f208,plain,
    ( ~ hskp5
    | ~ c2_1(a906) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f210,plain,
    ( ~ hskp6
    | ~ c0_1(a907) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f211,plain,
    ( ~ hskp6
    | c2_1(a907) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f213,plain,
    ( ~ hskp7
    | c2_1(a908) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f215,plain,
    ( ~ hskp8
    | c0_1(a909) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f217,plain,
    ( ~ hskp9
    | ~ c2_1(a910) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f219,plain,
    ( hskp10
    | c1_1(a912) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f220,plain,
    ( hskp10
    | ~ c2_1(a912) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f221,plain,
    ( hskp10
    | c0_1(a912) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f223,plain,
    ( hskp11
    | ~ c0_1(a914) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f224,plain,
    ( hskp11
    | c3_1(a914) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f225,plain,
    ( hskp11
    | c2_1(a914) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f227,plain,
    ( hskp12
    | c1_1(a917) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f228,plain,
    ( hskp12
    | c3_1(a917) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f229,plain,
    ( hskp12
    | c2_1(a917) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f231,plain,
    ( ~ hskp13
    | ~ c2_1(a921) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f232,plain,
    ( ~ hskp13
    | c0_1(a921) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f233,plain,
    ( ~ hskp14
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f234,plain,
    ( ~ hskp14
    | c0_1(a923) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f236,plain,
    ( hskp15
    | ~ c2_1(a924) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f237,plain,
    ( hskp15
    | c0_1(a924) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f238,plain,
    ( hskp15
    | ~ c1_1(a924) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f240,plain,
    ( ~ hskp16
    | ~ c2_1(a926) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f242,plain,
    ( hskp17
    | ~ c1_1(a936) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f243,plain,
    ( hskp17
    | c2_1(a936) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f244,plain,
    ( hskp17
    | ~ c3_1(a936) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f252,plain,
    ( ~ hskp20
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f253,plain,
    ( ~ hskp20
    | ~ c0_1(a939) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f254,plain,
    ( hskp21
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f255,plain,
    ( hskp21
    | c0_1(a946) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f256,plain,
    ( hskp21
    | c2_1(a946) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f257,plain,
    ( hskp21
    | ~ c3_1(a946) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f263,plain,
    ( ~ hskp23
    | c0_1(a954) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f269,plain,
    ( ~ hskp25
    | ~ c0_1(a960) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f275,plain,
    ( hskp27
    | c1_1(a900) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f276,plain,
    ( hskp27
    | ~ c2_1(a900) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f277,plain,
    ( hskp27
    | c3_1(a900) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f279,plain,
    ( hskp28
    | ~ c0_1(a916) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f280,plain,
    ( hskp28
    | c1_1(a916) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f281,plain,
    ( hskp28
    | c3_1(a916) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f286,plain,
    ( hskp30
    | ~ c0_1(a942) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f287,plain,
    ( hskp30
    | c1_1(a942) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f288,plain,
    ( hskp30
    | ~ c2_1(a942) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f290,plain,
    ! [X3,X4,X5] :
      ( ~ c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ndr1_0
      | ~ c0_1(X4)
      | c3_1(X4)
      | c2_1(X4)
      | ndr1_0
      | c1_1(X5)
      | c3_1(X5)
      | c0_1(X5)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f291,plain,
    ! [X6,X7] :
      ( ~ c0_1(X6)
      | c1_1(X6)
      | ~ c2_1(X6)
      | ndr1_0
      | ~ c0_1(X7)
      | ~ c1_1(X7)
      | ~ c3_1(X7)
      | ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f293,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | ndr1_0
      | c3_1(X11)
      | c0_1(X11)
      | c2_1(X11)
      | ndr1_0
      | c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f295,plain,
    ! [X16,X14,X15] :
      ( ~ c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ndr1_0
      | ~ c0_1(X15)
      | ~ c2_1(X15)
      | c3_1(X15)
      | ndr1_0
      | ~ c2_1(X16)
      | c3_1(X16)
      | c0_1(X16)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f298,plain,
    ! [X21,X22] :
      ( ~ c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ndr1_0
      | ~ c1_1(X22)
      | c2_1(X22)
      | ~ c3_1(X22)
      | ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f299,plain,
    ! [X23] :
      ( ~ c0_1(X23)
      | c1_1(X23)
      | ~ c3_1(X23)
      | ndr1_0
      | hskp6
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f300,plain,
    ! [X24,X25] :
      ( ~ c0_1(X24)
      | ~ c2_1(X24)
      | c3_1(X24)
      | ndr1_0
      | ~ c0_1(X25)
      | ~ c1_1(X25)
      | ~ c3_1(X25)
      | ndr1_0
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f301,plain,
    ! [X26,X27] :
      ( ~ c0_1(X26)
      | ~ c2_1(X26)
      | c3_1(X26)
      | ndr1_0
      | c1_1(X27)
      | ~ c2_1(X27)
      | c0_1(X27)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f302,plain,
    ! [X28] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | c3_1(X28)
      | ndr1_0
      | ~ hskp27
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f304,plain,
    ! [X31,X30] :
      ( ~ c0_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ndr1_0
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f305,plain,
    ! [X32] :
      ( ~ c0_1(X32)
      | c3_1(X32)
      | c2_1(X32)
      | ndr1_0
      | ~ hskp28
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f306,plain,
    ! [X33] :
      ( ~ c0_1(X33)
      | c3_1(X33)
      | c2_1(X33)
      | ndr1_0
      | hskp2
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f307,plain,
    ! [X36,X34,X35] :
      ( ~ c0_1(X34)
      | ~ c1_1(X34)
      | c2_1(X34)
      | ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ndr1_0
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f308,plain,
    ! [X37] :
      ( ~ c0_1(X37)
      | ~ c1_1(X37)
      | c2_1(X37)
      | ndr1_0
      | ~ hskp3
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f309,plain,
    ! [X38] :
      ( ~ c0_1(X38)
      | ~ c1_1(X38)
      | c2_1(X38)
      | ndr1_0
      | hskp7
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f311,plain,
    ! [X41] :
      ( ~ c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ndr1_0
      | ~ hskp28
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f312,plain,
    ! [X42] :
      ( ~ c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ndr1_0
      | hskp7
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f313,plain,
    ! [X43] :
      ( c1_1(X43)
      | ~ c2_1(X43)
      | c3_1(X43)
      | ndr1_0
      | ~ hskp11
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f316,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ndr1_0
      | c0_1(X48)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | ndr1_0
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f317,plain,
    ! [X49] :
      ( c1_1(X49)
      | ~ c2_1(X49)
      | c0_1(X49)
      | ndr1_0
      | ~ hskp12
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f320,plain,
    ! [X52,X53] :
      ( c1_1(X52)
      | c3_1(X52)
      | c0_1(X52)
      | ndr1_0
      | c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f321,plain,
    ! [X54] :
      ( c1_1(X54)
      | c3_1(X54)
      | c0_1(X54)
      | ndr1_0
      | ~ hskp30
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f322,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c0_1(X55)
      | c2_1(X55)
      | ndr1_0
      | ~ c2_1(X56)
      | c3_1(X56)
      | ~ c1_1(X56)
      | ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f324,plain,
    ! [X59,X60] :
      ( c1_1(X59)
      | c0_1(X59)
      | ~ c3_1(X59)
      | ndr1_0
      | ~ c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f325,plain,
    ! [X62,X61] :
      ( c1_1(X61)
      | c0_1(X61)
      | ~ c3_1(X61)
      | ndr1_0
      | c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ndr1_0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f326,plain,
    ! [X63] :
      ( c1_1(X63)
      | c0_1(X63)
      | ~ c3_1(X63)
      | ndr1_0
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f329,plain,
    ! [X68] :
      ( ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ndr1_0
      | hskp6
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f331,plain,
    ! [X70,X71] :
      ( ~ c2_1(X70)
      | c3_1(X70)
      | ~ c1_1(X70)
      | ndr1_0
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ c3_1(X71)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f332,plain,
    ! [X72,X73,X74] :
      ( ~ c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ndr1_0
      | c3_1(X73)
      | c0_1(X73)
      | c2_1(X73)
      | ndr1_0
      | c0_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f338,plain,
    ! [X82] :
      ( ~ c2_1(X82)
      | c0_1(X82)
      | ~ c3_1(X82)
      | ndr1_0
      | hskp5
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f339,plain,
    ! [X83] :
      ( ~ c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ndr1_0
      | hskp25
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f340,plain,
    ! [X84] :
      ( ~ c2_1(X84)
      | ~ c1_1(X84)
      | ~ c3_1(X84)
      | ndr1_0
      | ~ hskp10
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f341,plain,
    ! [X85] :
      ( c3_1(X85)
      | c0_1(X85)
      | ~ c1_1(X85)
      | ndr1_0
      | ~ hskp27
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f344,plain,
    ! [X88] :
      ( c0_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ndr1_0
      | hskp23
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f345,plain,
    ! [X89] :
      ( ~ c1_1(X89)
      | c2_1(X89)
      | ~ c3_1(X89)
      | ndr1_0
      | ~ hskp11
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f347,plain,
    ( ~ hskp12
    | hskp13
    | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f350,plain,
    ! [X72,X73,X74] :
      ( ~ c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ndr1_0
      | c3_1(X73)
      | c0_1(X73)
      | c2_1(X73)
      | c0_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74) ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f351,plain,
    ! [X70,X71] :
      ( ~ c2_1(X70)
      | c3_1(X70)
      | ~ c1_1(X70)
      | ndr1_0
      | ~ c2_1(X71)
      | ~ c1_1(X71)
      | ~ c3_1(X71) ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f354,plain,
    ! [X62,X61] :
      ( c1_1(X61)
      | c0_1(X61)
      | ~ c3_1(X61)
      | ndr1_0
      | c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ hskp1 ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f355,plain,
    ! [X59,X60] :
      ( c1_1(X59)
      | c0_1(X59)
      | ~ c3_1(X59)
      | ndr1_0
      | ~ c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ hskp21 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f357,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c0_1(X55)
      | c2_1(X55)
      | ndr1_0
      | ~ c2_1(X56)
      | c3_1(X56)
      | ~ c1_1(X56)
      | ~ hskp27 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f358,plain,
    ! [X52,X53] :
      ( c1_1(X52)
      | c3_1(X52)
      | c0_1(X52)
      | ndr1_0
      | c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f359,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | ~ c2_1(X47)
      | c0_1(X47)
      | ndr1_0
      | c0_1(X48)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | ~ hskp15 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f362,plain,
    ! [X36,X34,X35] :
      ( ~ c0_1(X34)
      | ~ c1_1(X34)
      | c2_1(X34)
      | ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | c2_1(X35)
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36) ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f363,plain,
    ! [X31,X30] :
      ( ~ c0_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ndr1_0
      | ~ c0_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f304]) ).

fof(f364,plain,
    ! [X26,X27] :
      ( ~ c0_1(X26)
      | ~ c2_1(X26)
      | c3_1(X26)
      | ndr1_0
      | c1_1(X27)
      | ~ c2_1(X27)
      | c0_1(X27)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f365,plain,
    ! [X24,X25] :
      ( ~ c0_1(X24)
      | ~ c2_1(X24)
      | c3_1(X24)
      | ndr1_0
      | ~ c0_1(X25)
      | ~ c1_1(X25)
      | ~ c3_1(X25)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f366,plain,
    ! [X21,X22] :
      ( ~ c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ndr1_0
      | ~ c1_1(X22)
      | c2_1(X22)
      | ~ c3_1(X22)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f368,plain,
    ! [X16,X14,X15] :
      ( ~ c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ndr1_0
      | ~ c0_1(X15)
      | ~ c2_1(X15)
      | c3_1(X15)
      | ~ c2_1(X16)
      | c3_1(X16)
      | c0_1(X16) ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f369,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | ndr1_0
      | c3_1(X11)
      | c0_1(X11)
      | c2_1(X11)
      | c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f371,plain,
    ! [X6,X7] :
      ( ~ c0_1(X6)
      | c1_1(X6)
      | ~ c2_1(X6)
      | ndr1_0
      | ~ c0_1(X7)
      | ~ c1_1(X7)
      | ~ c3_1(X7)
      | ~ hskp27 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f372,plain,
    ! [X3,X4,X5] :
      ( ~ c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ndr1_0
      | ~ c0_1(X4)
      | c3_1(X4)
      | c2_1(X4)
      | c1_1(X5)
      | c3_1(X5)
      | c0_1(X5) ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f375,definition,
    ( spl0_1
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f379,definition,
    ( spl0_2
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f383,definition,
    ( spl0_3
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f386,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f347,f383,f379,f375]) ).

fof(f388,definition,
    ( spl0_4
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f392,definition,
    ( spl0_5
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f396,definition,
    ( spl0_6
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f399,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f396,f392,f388]) ).

fof(f401,definition,
    ( spl0_7
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f410,definition,
    ( spl0_9
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f414,definition,
    ( spl0_10
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f418,definition,
    ( spl0_11
  <=> ! [X89] :
        ( ~ c1_1(X89)
        | ~ c3_1(X89)
        | c2_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X89] :
        ( c2_1(X89)
        | ~ c3_1(X89)
        | ~ c1_1(X89) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f345,f418,f414,f410,f383]) ).

fof(f422,definition,
    ( spl0_12
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f426,definition,
    ( spl0_13
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f430,definition,
    ( spl0_14
  <=> ! [X88] :
        ( c0_1(X88)
        | ~ c3_1(X88)
        | c2_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X88] :
        ( c2_1(X88)
        | ~ c3_1(X88)
        | c0_1(X88) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( ~ spl0_12
    | spl0_13
    | spl0_10
    | spl0_14 ),
    inference(avatar_split_clause,[],[f344,f430,f414,f426,f422]) ).

fof(f434,definition,
    ( spl0_15
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f438,definition,
    ( spl0_16
  <=> ! [X87] :
        ( c3_1(X87)
        | c2_1(X87)
        | ~ c1_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X87] :
        ( c2_1(X87)
        | c3_1(X87)
        | ~ c1_1(X87) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f442,definition,
    ( spl0_17
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_18
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f450,definition,
    ( spl0_19
  <=> ! [X86] :
        ( c3_1(X86)
        | c2_1(X86)
        | c0_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X86] :
        ( c2_1(X86)
        | c3_1(X86)
        | c0_1(X86) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f454,definition,
    ( spl0_20
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f458,definition,
    ( spl0_21
  <=> ! [X85] :
        ( c3_1(X85)
        | ~ c1_1(X85)
        | c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X85] :
        ( c3_1(X85)
        | ~ c1_1(X85)
        | c0_1(X85) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_2
    | ~ spl0_20
    | spl0_10
    | spl0_21 ),
    inference(avatar_split_clause,[],[f341,f458,f414,f454,f379]) ).

fof(f462,definition,
    ( spl0_22
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f466,definition,
    ( spl0_23
  <=> ! [X84] :
        ( ~ c2_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X84] :
        ( ~ c2_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f468,plain,
    ( ~ spl0_1
    | ~ spl0_22
    | spl0_10
    | spl0_23 ),
    inference(avatar_split_clause,[],[f340,f466,f414,f462,f375]) ).

fof(f470,definition,
    ( spl0_24
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_1
    | spl0_24
    | spl0_10
    | spl0_23 ),
    inference(avatar_split_clause,[],[f339,f466,f414,f470,f375]) ).

fof(f475,definition,
    ( spl0_25
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_26
  <=> ! [X82] :
        ( ~ c2_1(X82)
        | ~ c3_1(X82)
        | c0_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | ~ c3_1(X82)
        | c0_1(X82) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( spl0_25
    | spl0_7
    | spl0_10
    | spl0_26 ),
    inference(avatar_split_clause,[],[f338,f479,f414,f401,f475]) ).

fof(f483,definition,
    ( spl0_27
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f497,definition,
    ( spl0_30
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f501,definition,
    ( spl0_31
  <=> ! [X77] :
        ( ~ c2_1(X77)
        | ~ c1_1(X77)
        | c3_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X77] :
        ( ~ c2_1(X77)
        | ~ c1_1(X77)
        | c3_1(X77) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f505,definition,
    ( spl0_32
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f510,definition,
    ( spl0_33
  <=> ! [X74] :
        ( c0_1(X74)
        | ~ c3_1(X74)
        | ~ c1_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74)
        | ~ c1_1(X74) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( spl0_33
    | spl0_19
    | spl0_10
    | spl0_31 ),
    inference(avatar_split_clause,[],[f350,f501,f414,f450,f510]) ).

fof(f513,plain,
    ( spl0_23
    | spl0_10
    | spl0_31 ),
    inference(avatar_split_clause,[],[f351,f501,f414,f466]) ).

fof(f515,definition,
    ( spl0_34
  <=> ! [X69] :
        ( ~ c2_1(X69)
        | c0_1(X69)
        | c3_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | c0_1(X69)
        | c3_1(X69) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f519,definition,
    ( spl0_35
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f522,plain,
    ( spl0_5
    | spl0_35
    | spl0_10
    | spl0_34 ),
    inference(avatar_split_clause,[],[f329,f515,f414,f519,f392]) ).

fof(f524,definition,
    ( spl0_36
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f534,definition,
    ( spl0_38
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f538,definition,
    ( spl0_39
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | c0_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f539,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c1_1(X63)
        | c0_1(X63) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ spl0_38
    | spl0_10
    | spl0_39 ),
    inference(avatar_split_clause,[],[f326,f538,f414,f534]) ).

fof(f541,plain,
    ( ~ spl0_27
    | spl0_33
    | spl0_10
    | spl0_39 ),
    inference(avatar_split_clause,[],[f354,f538,f414,f510,f483]) ).

fof(f542,plain,
    ( ~ spl0_1
    | spl0_31
    | spl0_10
    | spl0_39 ),
    inference(avatar_split_clause,[],[f355,f538,f414,f501,f375]) ).

fof(f544,definition,
    ( spl0_40
  <=> ! [X57] :
        ( c1_1(X57)
        | c2_1(X57)
        | c0_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f545,plain,
    ( ! [X57] :
        ( c2_1(X57)
        | c1_1(X57)
        | c0_1(X57) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f547,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_10
    | spl0_40 ),
    inference(avatar_split_clause,[],[f357,f544,f414,f501,f454]) ).

fof(f549,definition,
    ( spl0_41
  <=> ! [X54] :
        ( c1_1(X54)
        | c0_1(X54)
        | c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f550,plain,
    ( ! [X54] :
        ( c3_1(X54)
        | c0_1(X54)
        | c1_1(X54) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f551,plain,
    ( spl0_25
    | ~ spl0_18
    | spl0_10
    | spl0_41 ),
    inference(avatar_split_clause,[],[f321,f549,f414,f446,f475]) ).

fof(f552,plain,
    ( spl0_30
    | spl0_14
    | spl0_10
    | spl0_41 ),
    inference(avatar_split_clause,[],[f358,f549,f414,f430,f497]) ).

fof(f566,definition,
    ( spl0_45
  <=> ! [X50] :
        ( c1_1(X50)
        | c0_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f567,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | c0_1(X50)
        | c1_1(X50) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f569,plain,
    ( ~ spl0_17
    | ~ spl0_3
    | spl0_10
    | spl0_45 ),
    inference(avatar_split_clause,[],[f317,f566,f414,f383,f442]) ).

fof(f570,plain,
    ( ~ spl0_12
    | spl0_33
    | spl0_10
    | spl0_45 ),
    inference(avatar_split_clause,[],[f359,f566,f414,f510,f422]) ).

fof(f577,definition,
    ( spl0_47
  <=> ! [X44] :
        ( c1_1(X44)
        | c3_1(X44)
        | ~ c2_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f578,plain,
    ( ! [X44] :
        ( ~ c2_1(X44)
        | c3_1(X44)
        | c1_1(X44) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( ~ spl0_20
    | ~ spl0_9
    | spl0_10
    | spl0_47 ),
    inference(avatar_split_clause,[],[f313,f577,f414,f410,f454]) ).

fof(f582,definition,
    ( spl0_48
  <=> ! [X42] :
        ( ~ c0_1(X42)
        | ~ c3_1(X42)
        | c2_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f583,plain,
    ( ! [X42] :
        ( c2_1(X42)
        | ~ c3_1(X42)
        | ~ c0_1(X42) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f584,plain,
    ( spl0_2
    | spl0_25
    | spl0_10
    | spl0_48 ),
    inference(avatar_split_clause,[],[f312,f582,f414,f475,f379]) ).

fof(f585,plain,
    ( spl0_32
    | ~ spl0_38
    | spl0_10
    | spl0_48 ),
    inference(avatar_split_clause,[],[f311,f582,f414,f534,f505]) ).

fof(f588,definition,
    ( spl0_49
  <=> ! [X38] :
        ( ~ c0_1(X38)
        | c2_1(X38)
        | ~ c1_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f589,plain,
    ( ! [X38] :
        ( c2_1(X38)
        | ~ c0_1(X38)
        | ~ c1_1(X38) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f590,plain,
    ( spl0_5
    | spl0_25
    | spl0_10
    | spl0_49 ),
    inference(avatar_split_clause,[],[f309,f588,f414,f475,f392]) ).

fof(f592,definition,
    ( spl0_50
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f595,plain,
    ( spl0_2
    | ~ spl0_50
    | spl0_10
    | spl0_49 ),
    inference(avatar_split_clause,[],[f308,f588,f414,f592,f379]) ).

fof(f597,definition,
    ( spl0_51
  <=> ! [X35] :
        ( c1_1(X35)
        | c2_1(X35)
        | c3_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f598,plain,
    ( ! [X35] :
        ( c2_1(X35)
        | c1_1(X35)
        | c3_1(X35) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f599,plain,
    ( spl0_23
    | spl0_51
    | spl0_10
    | spl0_49 ),
    inference(avatar_split_clause,[],[f362,f588,f414,f597,f466]) ).

fof(f601,definition,
    ( spl0_52
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f605,definition,
    ( spl0_53
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | c2_1(X33)
        | c3_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f606,plain,
    ( ! [X33] :
        ( c2_1(X33)
        | ~ c0_1(X33)
        | c3_1(X33) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f607,plain,
    ( spl0_36
    | spl0_52
    | spl0_10
    | spl0_53 ),
    inference(avatar_split_clause,[],[f306,f605,f414,f601,f524]) ).

fof(f608,plain,
    ( ~ spl0_3
    | ~ spl0_38
    | spl0_10
    | spl0_53 ),
    inference(avatar_split_clause,[],[f305,f605,f414,f534,f383]) ).

fof(f609,plain,
    ( spl0_7
    | spl0_48
    | spl0_10
    | spl0_53 ),
    inference(avatar_split_clause,[],[f363,f605,f414,f582,f401]) ).

fof(f611,definition,
    ( spl0_54
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | ~ c1_1(X29)
        | c3_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f612,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | ~ c1_1(X29)
        | ~ c0_1(X29) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f615,definition,
    ( spl0_55
  <=> ! [X28] :
        ( ~ c0_1(X28)
        | c3_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f616,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | c3_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_22
    | ~ spl0_20
    | spl0_10
    | spl0_55 ),
    inference(avatar_split_clause,[],[f302,f615,f414,f454,f462]) ).

fof(f618,plain,
    ( spl0_30
    | spl0_45
    | spl0_10
    | spl0_55 ),
    inference(avatar_split_clause,[],[f364,f615,f414,f566,f497]) ).

fof(f620,definition,
    ( spl0_56
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | ~ c3_1(X25)
        | ~ c1_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f621,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | ~ c0_1(X25)
        | ~ c1_1(X25) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( spl0_15
    | spl0_56
    | spl0_10
    | spl0_55 ),
    inference(avatar_split_clause,[],[f365,f615,f414,f620,f434]) ).

fof(f624,definition,
    ( spl0_57
  <=> ! [X23] :
        ( ~ c0_1(X23)
        | ~ c3_1(X23)
        | c1_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f625,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | ~ c0_1(X23)
        | c1_1(X23) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f626,plain,
    ( spl0_25
    | spl0_35
    | spl0_10
    | spl0_57 ),
    inference(avatar_split_clause,[],[f299,f624,f414,f519,f475]) ).

fof(f627,plain,
    ( spl0_7
    | spl0_11
    | spl0_10
    | spl0_57 ),
    inference(avatar_split_clause,[],[f366,f624,f414,f418,f401]) ).

fof(f633,definition,
    ( spl0_59
  <=> ! [X17] :
        ( ~ c0_1(X17)
        | c3_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f634,plain,
    ( ! [X17] :
        ( c3_1(X17)
        | ~ c0_1(X17)
        | c1_1(X17) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f636,plain,
    ( spl0_34
    | spl0_55
    | spl0_10
    | spl0_59 ),
    inference(avatar_split_clause,[],[f368,f633,f414,f615,f515]) ).

fof(f638,definition,
    ( spl0_60
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | ~ c2_1(X13)
        | c1_1(X13) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f639,plain,
    ( ! [X13] :
        ( ~ c2_1(X13)
        | ~ c0_1(X13)
        | c1_1(X13) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f641,plain,
    ( spl0_16
    | spl0_19
    | spl0_10
    | spl0_60 ),
    inference(avatar_split_clause,[],[f369,f638,f414,f450,f438]) ).

fof(f643,plain,
    ( ~ spl0_20
    | spl0_56
    | spl0_10
    | spl0_60 ),
    inference(avatar_split_clause,[],[f371,f638,f414,f620,f454]) ).

fof(f644,plain,
    ( spl0_41
    | spl0_53
    | spl0_10
    | spl0_60 ),
    inference(avatar_split_clause,[],[f372,f638,f414,f605,f549]) ).

fof(f650,definition,
    ( spl0_62
  <=> c2_1(a942) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f652,plain,
    ( ~ c2_1(a942)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( ~ spl0_62
    | spl0_18 ),
    inference(avatar_split_clause,[],[f288,f446,f650]) ).

fof(f655,definition,
    ( spl0_63
  <=> c1_1(a942) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f658,plain,
    ( spl0_63
    | spl0_18 ),
    inference(avatar_split_clause,[],[f287,f446,f655]) ).

fof(f660,definition,
    ( spl0_64
  <=> c0_1(a942) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f663,plain,
    ( ~ spl0_64
    | spl0_18 ),
    inference(avatar_split_clause,[],[f286,f446,f660]) ).

fof(f682,definition,
    ( spl0_68
  <=> c3_1(a916) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f684,plain,
    ( c3_1(a916)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( spl0_68
    | spl0_38 ),
    inference(avatar_split_clause,[],[f281,f534,f682]) ).

fof(f687,definition,
    ( spl0_69
  <=> c1_1(a916) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f690,plain,
    ( spl0_69
    | spl0_38 ),
    inference(avatar_split_clause,[],[f280,f534,f687]) ).

fof(f692,definition,
    ( spl0_70
  <=> c0_1(a916) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_70
    | spl0_38 ),
    inference(avatar_split_clause,[],[f279,f534,f692]) ).

fof(f698,definition,
    ( spl0_71
  <=> c3_1(a900) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f701,plain,
    ( spl0_71
    | spl0_20 ),
    inference(avatar_split_clause,[],[f277,f454,f698]) ).

fof(f703,definition,
    ( spl0_72
  <=> c2_1(a900) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ c2_1(a900)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( ~ spl0_72
    | spl0_20 ),
    inference(avatar_split_clause,[],[f276,f454,f703]) ).

fof(f708,definition,
    ( spl0_73
  <=> c1_1(a900) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f711,plain,
    ( spl0_73
    | spl0_20 ),
    inference(avatar_split_clause,[],[f275,f454,f708]) ).

fof(f730,definition,
    ( spl0_77
  <=> c1_1(a960) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ spl0_77
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f86,f470,f730]) ).

fof(f735,definition,
    ( spl0_78
  <=> c3_1(a960) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f737,plain,
    ( c3_1(a960)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( spl0_78
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f87,f470,f735]) ).

fof(f740,definition,
    ( spl0_79
  <=> c0_1(a960) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f743,plain,
    ( ~ spl0_79
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f269,f470,f740]) ).

fof(f762,definition,
    ( spl0_83
  <=> c0_1(a954) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f765,plain,
    ( spl0_83
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f263,f426,f762]) ).

fof(f767,definition,
    ( spl0_84
  <=> c3_1(a954) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f769,plain,
    ( c3_1(a954)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( spl0_84
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f95,f426,f767]) ).

fof(f772,definition,
    ( spl0_85
  <=> c1_1(a954) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f775,plain,
    ( spl0_85
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f96,f426,f772]) ).

fof(f794,definition,
    ( spl0_89
  <=> c3_1(a946) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f797,plain,
    ( ~ spl0_89
    | spl0_1 ),
    inference(avatar_split_clause,[],[f257,f375,f794]) ).

fof(f799,definition,
    ( spl0_90
  <=> c2_1(a946) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f801,plain,
    ( c2_1(a946)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f802,plain,
    ( spl0_90
    | spl0_1 ),
    inference(avatar_split_clause,[],[f256,f375,f799]) ).

fof(f804,definition,
    ( spl0_91
  <=> c0_1(a946) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f807,plain,
    ( spl0_91
    | spl0_1 ),
    inference(avatar_split_clause,[],[f255,f375,f804]) ).

fof(f808,plain,
    ( ~ spl0_10
    | spl0_1 ),
    inference(avatar_split_clause,[],[f254,f375,f414]) ).

fof(f810,definition,
    ( spl0_92
  <=> c3_1(a939) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ c3_1(a939)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl0_92
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f396,f810]) ).

fof(f820,definition,
    ( spl0_94
  <=> c0_1(a939) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ spl0_94
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f253,f396,f820]) ).

fof(f824,plain,
    ( ~ spl0_10
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f252,f396,f414]) ).

fof(f858,definition,
    ( spl0_101
  <=> c3_1(a936) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ spl0_101
    | spl0_17 ),
    inference(avatar_split_clause,[],[f244,f442,f858]) ).

fof(f863,definition,
    ( spl0_102
  <=> c2_1(a936) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f865,plain,
    ( c2_1(a936)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f866,plain,
    ( spl0_102
    | spl0_17 ),
    inference(avatar_split_clause,[],[f243,f442,f863]) ).

fof(f868,definition,
    ( spl0_103
  <=> c1_1(a936) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f871,plain,
    ( ~ spl0_103
    | spl0_17 ),
    inference(avatar_split_clause,[],[f242,f442,f868]) ).

fof(f874,definition,
    ( spl0_104
  <=> c3_1(a926) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f876,plain,
    ( ~ c3_1(a926)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f877,plain,
    ( ~ spl0_104
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f122,f505,f874]) ).

fof(f879,definition,
    ( spl0_105
  <=> c2_1(a926) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f881,plain,
    ( ~ c2_1(a926)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( ~ spl0_105
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f240,f505,f879]) ).

fof(f884,definition,
    ( spl0_106
  <=> c1_1(a926) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f887,plain,
    ( spl0_106
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f124,f505,f884]) ).

fof(f890,definition,
    ( spl0_107
  <=> c1_1(a924) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f893,plain,
    ( ~ spl0_107
    | spl0_12 ),
    inference(avatar_split_clause,[],[f238,f422,f890]) ).

fof(f895,definition,
    ( spl0_108
  <=> c0_1(a924) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f898,plain,
    ( spl0_108
    | spl0_12 ),
    inference(avatar_split_clause,[],[f237,f422,f895]) ).

fof(f900,definition,
    ( spl0_109
  <=> c2_1(a924) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f902,plain,
    ( ~ c2_1(a924)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f903,plain,
    ( ~ spl0_109
    | spl0_12 ),
    inference(avatar_split_clause,[],[f236,f422,f900]) ).

fof(f906,definition,
    ( spl0_110
  <=> c1_1(a923) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ spl0_110
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f130,f392,f906]) ).

fof(f911,definition,
    ( spl0_111
  <=> c0_1(a923) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f914,plain,
    ( spl0_111
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f234,f392,f911]) ).

fof(f916,definition,
    ( spl0_112
  <=> c3_1(a923) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f918,plain,
    ( c3_1(a923)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( spl0_112
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f132,f392,f916]) ).

fof(f920,plain,
    ( ~ spl0_10
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f233,f392,f414]) ).

fof(f922,definition,
    ( spl0_113
  <=> c3_1(a921) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ spl0_113
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f134,f379,f922]) ).

fof(f927,definition,
    ( spl0_114
  <=> c0_1(a921) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f930,plain,
    ( spl0_114
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f232,f379,f927]) ).

fof(f932,definition,
    ( spl0_115
  <=> c2_1(a921) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f934,plain,
    ( ~ c2_1(a921)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f932]) ).

fof(f935,plain,
    ( ~ spl0_115
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f231,f379,f932]) ).

fof(f938,definition,
    ( spl0_116
  <=> c2_1(a917) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f940,plain,
    ( c2_1(a917)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f941,plain,
    ( spl0_116
    | spl0_3 ),
    inference(avatar_split_clause,[],[f229,f383,f938]) ).

fof(f943,definition,
    ( spl0_117
  <=> c3_1(a917) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f945,plain,
    ( c3_1(a917)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( spl0_117
    | spl0_3 ),
    inference(avatar_split_clause,[],[f228,f383,f943]) ).

fof(f948,definition,
    ( spl0_118
  <=> c1_1(a917) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f951,plain,
    ( spl0_118
    | spl0_3 ),
    inference(avatar_split_clause,[],[f227,f383,f948]) ).

fof(f954,definition,
    ( spl0_119
  <=> c2_1(a914) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f956,plain,
    ( c2_1(a914)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f957,plain,
    ( spl0_119
    | spl0_9 ),
    inference(avatar_split_clause,[],[f225,f410,f954]) ).

fof(f959,definition,
    ( spl0_120
  <=> c3_1(a914) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f961,plain,
    ( c3_1(a914)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f962,plain,
    ( spl0_120
    | spl0_9 ),
    inference(avatar_split_clause,[],[f224,f410,f959]) ).

fof(f964,definition,
    ( spl0_121
  <=> c0_1(a914) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f967,plain,
    ( ~ spl0_121
    | spl0_9 ),
    inference(avatar_split_clause,[],[f223,f410,f964]) ).

fof(f970,definition,
    ( spl0_122
  <=> c0_1(a912) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f973,plain,
    ( spl0_122
    | spl0_22 ),
    inference(avatar_split_clause,[],[f221,f462,f970]) ).

fof(f975,definition,
    ( spl0_123
  <=> c2_1(a912) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f977,plain,
    ( ~ c2_1(a912)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f978,plain,
    ( ~ spl0_123
    | spl0_22 ),
    inference(avatar_split_clause,[],[f220,f462,f975]) ).

fof(f980,definition,
    ( spl0_124
  <=> c1_1(a912) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f983,plain,
    ( spl0_124
    | spl0_22 ),
    inference(avatar_split_clause,[],[f219,f462,f980]) ).

fof(f986,definition,
    ( spl0_125
  <=> c3_1(a910) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f989,plain,
    ( ~ spl0_125
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f150,f497,f986]) ).

fof(f991,definition,
    ( spl0_126
  <=> c1_1(a910) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ spl0_126
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f151,f497,f991]) ).

fof(f996,definition,
    ( spl0_127
  <=> c2_1(a910) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f998,plain,
    ( ~ c2_1(a910)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f999,plain,
    ( ~ spl0_127
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f217,f497,f996]) ).

fof(f1002,definition,
    ( spl0_128
  <=> c3_1(a909) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1004,plain,
    ( ~ c3_1(a909)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1005,plain,
    ( ~ spl0_128
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f154,f434,f1002]) ).

fof(f1007,definition,
    ( spl0_129
  <=> c0_1(a909) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1010,plain,
    ( spl0_129
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f215,f434,f1007]) ).

fof(f1012,definition,
    ( spl0_130
  <=> c1_1(a909) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1015,plain,
    ( spl0_130
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f156,f434,f1012]) ).

fof(f1018,definition,
    ( spl0_131
  <=> c3_1(a908) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1021,plain,
    ( ~ spl0_131
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f158,f475,f1018]) ).

fof(f1023,definition,
    ( spl0_132
  <=> c2_1(a908) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1025,plain,
    ( c2_1(a908)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1026,plain,
    ( spl0_132
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f213,f475,f1023]) ).

fof(f1028,definition,
    ( spl0_133
  <=> c1_1(a908) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1031,plain,
    ( spl0_133
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f160,f475,f1028]) ).

fof(f1034,definition,
    ( spl0_134
  <=> c2_1(a907) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1036,plain,
    ( c2_1(a907)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1037,plain,
    ( spl0_134
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f211,f519,f1034]) ).

fof(f1039,definition,
    ( spl0_135
  <=> c1_1(a907) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1042,plain,
    ( spl0_135
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f163,f519,f1039]) ).

fof(f1044,definition,
    ( spl0_136
  <=> c0_1(a907) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1047,plain,
    ( ~ spl0_136
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f210,f519,f1044]) ).

fof(f1050,definition,
    ( spl0_137
  <=> c3_1(a906) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1052,plain,
    ( ~ c3_1(a906)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f1053,plain,
    ( ~ spl0_137
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f166,f401,f1050]) ).

fof(f1055,definition,
    ( spl0_138
  <=> c2_1(a906) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1057,plain,
    ( ~ c2_1(a906)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1058,plain,
    ( ~ spl0_138
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f208,f401,f1055]) ).

fof(f1060,definition,
    ( spl0_139
  <=> c0_1(a906) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1063,plain,
    ( ~ spl0_139
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f207,f401,f1060]) ).

fof(f1071,definition,
    ( spl0_141
  <=> c0_1(a905) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1074,plain,
    ( spl0_141
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f204,f388,f1071]) ).

fof(f1076,definition,
    ( spl0_142
  <=> c3_1(a905) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1078,plain,
    ( c3_1(a905)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1076]) ).

fof(f1079,plain,
    ( spl0_142
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f172,f388,f1076]) ).

fof(f1080,plain,
    ( ~ spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f203,f388,f414]) ).

fof(f1082,definition,
    ( spl0_143
  <=> c2_1(a904) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1084,plain,
    ( c2_1(a904)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f1085,plain,
    ( spl0_143
    | spl0_50 ),
    inference(avatar_split_clause,[],[f202,f592,f1082]) ).

fof(f1087,definition,
    ( spl0_144
  <=> c1_1(a904) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1090,plain,
    ( ~ spl0_144
    | spl0_50 ),
    inference(avatar_split_clause,[],[f201,f592,f1087]) ).

fof(f1092,definition,
    ( spl0_145
  <=> c0_1(a904) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1095,plain,
    ( ~ spl0_145
    | spl0_50 ),
    inference(avatar_split_clause,[],[f200,f592,f1092]) ).

fof(f1098,definition,
    ( spl0_146
  <=> c3_1(a903) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1100,plain,
    ( ~ c3_1(a903)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f1101,plain,
    ( ~ spl0_146
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f178,f601,f1098]) ).

fof(f1103,definition,
    ( spl0_147
  <=> c2_1(a903) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1105,plain,
    ( c2_1(a903)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1103]) ).

fof(f1106,plain,
    ( spl0_147
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f198,f601,f1103]) ).

fof(f1108,definition,
    ( spl0_148
  <=> c0_1(a903) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1111,plain,
    ( ~ spl0_148
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f197,f601,f1108]) ).

fof(f1114,definition,
    ( spl0_149
  <=> c1_1(a902) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1117,plain,
    ( ~ spl0_149
    | spl0_27 ),
    inference(avatar_split_clause,[],[f195,f483,f1114]) ).

fof(f1119,definition,
    ( spl0_150
  <=> c2_1(a902) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1121,plain,
    ( ~ c2_1(a902)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1122,plain,
    ( ~ spl0_150
    | spl0_27 ),
    inference(avatar_split_clause,[],[f194,f483,f1119]) ).

fof(f1124,definition,
    ( spl0_151
  <=> c0_1(a902) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1127,plain,
    ( ~ spl0_151
    | spl0_27 ),
    inference(avatar_split_clause,[],[f193,f483,f1124]) ).

fof(f1130,definition,
    ( spl0_152
  <=> c3_1(a901) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1132,plain,
    ( ~ c3_1(a901)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1133,plain,
    ( ~ spl0_152
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f186,f524,f1130]) ).

fof(f1135,definition,
    ( spl0_153
  <=> c1_1(a901) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1138,plain,
    ( ~ spl0_153
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f187,f524,f1135]) ).

fof(f1140,definition,
    ( spl0_154
  <=> c0_1(a901) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1143,plain,
    ( spl0_154
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f191,f524,f1140]) ).

fof(f1164,plain,
    ( ~ c3_1(a900)
    | ~ c1_1(a900)
    | ~ spl0_11
    | spl0_72 ),
    inference(resolution,[],[f419,f705]) ).

fof(f1167,plain,
    ( ~ c3_1(a902)
    | c0_1(a902)
    | ~ spl0_14
    | spl0_150 ),
    inference(resolution,[],[f431,f1121]) ).

fof(f1186,plain,
    ( ~ c3_1(a900)
    | c0_1(a900)
    | ~ spl0_14
    | spl0_72 ),
    inference(resolution,[],[f431,f705]) ).

fof(f1188,plain,
    ( ~ c3_1(a942)
    | c0_1(a942)
    | ~ spl0_14
    | spl0_62 ),
    inference(resolution,[],[f431,f652]) ).

fof(f1190,definition,
    ( spl0_155
  <=> c3_1(a942) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1192,plain,
    ( ~ c3_1(a942)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f1205,definition,
    ( spl0_158
  <=> c3_1(a924) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1207,plain,
    ( ~ c3_1(a924)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1210,definition,
    ( spl0_159
  <=> c3_1(a912) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1215,definition,
    ( spl0_160
  <=> c3_1(a907) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1225,definition,
    ( spl0_162
  <=> c3_1(a902) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1233,plain,
    ( c3_1(a906)
    | c0_1(a906)
    | ~ spl0_19
    | spl0_138 ),
    inference(resolution,[],[f451,f1057]) ).

fof(f1236,plain,
    ( c3_1(a910)
    | c0_1(a910)
    | ~ spl0_19
    | spl0_127 ),
    inference(resolution,[],[f451,f998]) ).

fof(f1254,definition,
    ( spl0_163
  <=> c0_1(a900) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1267,definition,
    ( spl0_165
  <=> c0_1(a936) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1272,definition,
    ( spl0_166
  <=> c0_1(a926) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1279,definition,
    ( spl0_167
  <=> c0_1(a917) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1286,definition,
    ( spl0_168
  <=> c0_1(a910) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1331,plain,
    ( ~ c1_1(a942)
    | c0_1(a942)
    | ~ spl0_21
    | spl0_155 ),
    inference(resolution,[],[f459,f1192]) ).

fof(f1349,definition,
    ( spl0_173
  <=> c1_1(a914) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1354,definition,
    ( spl0_174
  <=> c1_1(a906) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1359,definition,
    ( spl0_175
  <=> c1_1(a905) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1364,definition,
    ( spl0_176
  <=> c1_1(a903) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1368,plain,
    ( ~ spl0_73
    | ~ spl0_71
    | ~ spl0_11
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1164,f703,f418,f698,f708]) ).

fof(f1369,plain,
    ( spl0_163
    | ~ spl0_71
    | ~ spl0_14
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1186,f703,f430,f698,f1254]) ).

fof(f1370,plain,
    ( spl0_64
    | ~ spl0_63
    | ~ spl0_21
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1331,f1190,f458,f655,f660]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(resolution,[],[f480,f419]) ).

fof(f1403,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1401]) ).

fof(f1408,plain,
    ( ~ c1_1(a946)
    | c3_1(a946)
    | ~ spl0_31
    | ~ spl0_90 ),
    inference(resolution,[],[f502,f801]) ).

fof(f1413,definition,
    ( spl0_177
  <=> c1_1(a946) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1416,plain,
    ( spl0_89
    | ~ spl0_177
    | ~ spl0_31
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1408,f799,f501,f1413,f794]) ).

fof(f1424,plain,
    ( c0_1(a936)
    | c3_1(a936)
    | ~ spl0_34
    | ~ spl0_102 ),
    inference(resolution,[],[f516,f865]) ).

fof(f1428,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(resolution,[],[f467,f419]) ).

fof(f1430,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1428]) ).

fof(f1446,plain,
    ( c0_1(a916)
    | ~ c1_1(a916)
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(resolution,[],[f684,f511]) ).

fof(f1449,plain,
    ( spl0_33
    | ~ spl0_11
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1403,f479,f418,f510]) ).

fof(f1454,plain,
    ( ~ c1_1(a908)
    | c3_1(a908)
    | ~ spl0_31
    | ~ spl0_132 ),
    inference(resolution,[],[f1025,f502]) ).

fof(f1460,plain,
    ( c1_1(a906)
    | c0_1(a906)
    | ~ spl0_40
    | spl0_138 ),
    inference(resolution,[],[f545,f1057]) ).

fof(f1496,plain,
    ( c0_1(a903)
    | c1_1(a903)
    | ~ spl0_41
    | spl0_146 ),
    inference(resolution,[],[f550,f1100]) ).

fof(f1499,plain,
    ( c0_1(a906)
    | c1_1(a906)
    | ~ spl0_41
    | spl0_137 ),
    inference(resolution,[],[f550,f1052]) ).

fof(f1539,plain,
    ( spl0_176
    | spl0_148
    | ~ spl0_41
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1496,f1098,f549,f1108,f1364]) ).

fof(f1548,plain,
    ( ~ c1_1(a916)
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_68 ),
    inference(resolution,[],[f1430,f684]) ).

fof(f1552,plain,
    ( ~ spl0_69
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1548,f682,f466,f418,f687]) ).

fof(f1559,plain,
    ( spl0_139
    | spl0_137
    | ~ spl0_19
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1233,f1055,f450,f1050,f1060]) ).

fof(f1560,plain,
    ( spl0_168
    | spl0_125
    | ~ spl0_19
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1236,f996,f450,f986,f1286]) ).

fof(f1565,plain,
    ( spl0_101
    | spl0_165
    | ~ spl0_34
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1424,f863,f515,f1267,f858]) ).

fof(f1568,plain,
    ( spl0_139
    | spl0_174
    | ~ spl0_40
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1460,f1055,f544,f1354,f1060]) ).

fof(f1581,plain,
    ( ~ c1_1(a906)
    | c0_1(a906)
    | ~ spl0_21
    | spl0_137 ),
    inference(resolution,[],[f1052,f459]) ).

fof(f1604,plain,
    ( ~ c3_1(a907)
    | ~ c1_1(a907)
    | ~ spl0_23
    | ~ spl0_134 ),
    inference(resolution,[],[f467,f1036]) ).

fof(f1606,plain,
    ( ~ c3_1(a914)
    | ~ c1_1(a914)
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(resolution,[],[f467,f956]) ).

fof(f1607,plain,
    ( ~ c3_1(a917)
    | ~ c1_1(a917)
    | ~ spl0_23
    | ~ spl0_116 ),
    inference(resolution,[],[f467,f940]) ).

fof(f1614,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(resolution,[],[f516,f451]) ).

fof(f1627,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1614]) ).

fof(f1653,plain,
    ( c0_1(a939)
    | ~ spl0_19
    | ~ spl0_34
    | spl0_92 ),
    inference(resolution,[],[f1627,f812]) ).

fof(f1663,plain,
    ( spl0_94
    | ~ spl0_19
    | ~ spl0_34
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1653,f810,f515,f450,f820]) ).

fof(f1670,plain,
    ( c3_1(a906)
    | ~ c1_1(a906)
    | ~ spl0_16
    | spl0_138 ),
    inference(resolution,[],[f439,f1057]) ).

fof(f1683,plain,
    ( ~ spl0_174
    | spl0_137
    | ~ spl0_16
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1670,f1055,f438,f1050,f1354]) ).

fof(f1753,plain,
    ( c0_1(a904)
    | c1_1(a904)
    | ~ spl0_45
    | ~ spl0_143 ),
    inference(resolution,[],[f567,f1084]) ).

fof(f1757,plain,
    ( c0_1(a914)
    | c1_1(a914)
    | ~ spl0_45
    | ~ spl0_119 ),
    inference(resolution,[],[f567,f956]) ).

fof(f1777,plain,
    ( c3_1(a946)
    | c1_1(a946)
    | ~ spl0_47
    | ~ spl0_90 ),
    inference(resolution,[],[f578,f801]) ).

fof(f1788,plain,
    ( c1_1(a914)
    | c0_1(a914)
    | ~ spl0_39
    | ~ spl0_120 ),
    inference(resolution,[],[f961,f539]) ).

fof(f1792,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_48 ),
    inference(resolution,[],[f583,f467]) ).

fof(f1803,plain,
    ( ~ c3_1(a900)
    | ~ c0_1(a900)
    | ~ spl0_48
    | spl0_72 ),
    inference(resolution,[],[f583,f705]) ).

fof(f1805,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1792]) ).

fof(f1836,plain,
    ( ~ c0_1(a910)
    | c3_1(a910)
    | ~ spl0_53
    | spl0_127 ),
    inference(resolution,[],[f606,f998]) ).

fof(f1837,plain,
    ( ~ c0_1(a912)
    | c3_1(a912)
    | ~ spl0_53
    | spl0_123 ),
    inference(resolution,[],[f606,f977]) ).

fof(f1838,plain,
    ( ~ c0_1(a921)
    | c3_1(a921)
    | ~ spl0_53
    | spl0_115 ),
    inference(resolution,[],[f606,f934]) ).

fof(f1839,plain,
    ( ~ c0_1(a924)
    | c3_1(a924)
    | ~ spl0_53
    | spl0_109 ),
    inference(resolution,[],[f606,f902]) ).

fof(f1840,plain,
    ( ~ c0_1(a926)
    | c3_1(a926)
    | ~ spl0_53
    | spl0_105 ),
    inference(resolution,[],[f606,f881]) ).

fof(f1847,plain,
    ( spl0_104
    | ~ spl0_166
    | ~ spl0_53
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1840,f879,f605,f1272,f874]) ).

fof(f1848,plain,
    ( spl0_158
    | ~ spl0_108
    | ~ spl0_53
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1839,f900,f605,f895,f1205]) ).

fof(f1849,plain,
    ( spl0_113
    | ~ spl0_114
    | ~ spl0_53
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1838,f932,f605,f927,f922]) ).

fof(f1850,plain,
    ( spl0_159
    | ~ spl0_122
    | ~ spl0_53
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1837,f975,f605,f970,f1210]) ).

fof(f1851,plain,
    ( spl0_125
    | ~ spl0_168
    | ~ spl0_53
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1836,f996,f605,f1286,f986]) ).

fof(f1904,plain,
    ( ~ c3_1(a914)
    | c0_1(a914)
    | ~ spl0_26
    | ~ spl0_119 ),
    inference(resolution,[],[f480,f956]) ).

fof(f1905,plain,
    ( ~ c3_1(a917)
    | c0_1(a917)
    | ~ spl0_26
    | ~ spl0_116 ),
    inference(resolution,[],[f480,f940]) ).

fof(f1916,plain,
    ( spl0_121
    | ~ spl0_120
    | ~ spl0_26
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1904,f954,f479,f959,f964]) ).

fof(f1919,plain,
    ( ~ spl0_69
    | spl0_70
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1446,f682,f510,f692,f687]) ).

fof(f1949,plain,
    ( ~ c1_1(a903)
    | c3_1(a903)
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(resolution,[],[f502,f1105]) ).

fof(f1960,plain,
    ( spl0_146
    | ~ spl0_176
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1949,f1103,f501,f1364,f1098]) ).

fof(f1964,plain,
    ( ~ spl0_163
    | ~ spl0_71
    | ~ spl0_48
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1803,f703,f582,f698,f1254]) ).

fof(f1975,plain,
    ( ~ c1_1(a926)
    | c0_1(a926)
    | ~ spl0_21
    | spl0_104 ),
    inference(resolution,[],[f459,f876]) ).

fof(f2006,plain,
    ( ~ c3_1(a912)
    | ~ c0_1(a912)
    | ~ spl0_48
    | spl0_123 ),
    inference(resolution,[],[f583,f977]) ).

fof(f2009,plain,
    ( ~ c3_1(a924)
    | ~ c0_1(a924)
    | ~ spl0_48
    | spl0_109 ),
    inference(resolution,[],[f583,f902]) ).

fof(f2020,plain,
    ( c1_1(a902)
    | c3_1(a902)
    | ~ spl0_51
    | spl0_150 ),
    inference(resolution,[],[f598,f1121]) ).

fof(f2021,plain,
    ( c1_1(a906)
    | c3_1(a906)
    | ~ spl0_51
    | spl0_138 ),
    inference(resolution,[],[f598,f1057]) ).

fof(f2024,plain,
    ( c1_1(a910)
    | c3_1(a910)
    | ~ spl0_51
    | spl0_127 ),
    inference(resolution,[],[f598,f998]) ).

fof(f2047,plain,
    ( spl0_166
    | ~ spl0_106
    | ~ spl0_21
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1975,f874,f458,f884,f1272]) ).

fof(f2052,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_31
    | ~ spl0_49 ),
    inference(resolution,[],[f589,f502]) ).

fof(f2060,plain,
    ( ~ c0_1(a912)
    | ~ c1_1(a912)
    | ~ spl0_49
    | spl0_123 ),
    inference(resolution,[],[f589,f977]) ).

fof(f2069,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_31
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f2052]) ).

fof(f2075,plain,
    ( ~ c1_1(a909)
    | ~ c0_1(a909)
    | ~ spl0_54
    | spl0_128 ),
    inference(resolution,[],[f612,f1004]) ).

fof(f2088,plain,
    ( ~ spl0_129
    | ~ spl0_130
    | ~ spl0_54
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2075,f1002,f611,f1012,f1007]) ).

fof(f2093,plain,
    ( spl0_54
    | ~ spl0_31
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2069,f588,f501,f611]) ).

fof(f2100,plain,
    ( ~ c1_1(a907)
    | c3_1(a907)
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(resolution,[],[f1036,f502]) ).

fof(f2101,plain,
    ( ~ c3_1(a907)
    | c0_1(a907)
    | ~ spl0_26
    | ~ spl0_134 ),
    inference(resolution,[],[f1036,f480]) ).

fof(f2157,plain,
    ( c3_1(a946)
    | ~ c0_1(a946)
    | ~ spl0_55
    | ~ spl0_90 ),
    inference(resolution,[],[f616,f801]) ).

fof(f2179,plain,
    ( ~ c0_1(a917)
    | ~ c1_1(a917)
    | ~ spl0_56
    | ~ spl0_117 ),
    inference(resolution,[],[f621,f945]) ).

fof(f2184,plain,
    ( ~ c0_1(a954)
    | ~ c1_1(a954)
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(resolution,[],[f621,f769]) ).

fof(f2202,plain,
    ( spl0_167
    | ~ spl0_117
    | ~ spl0_26
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1905,f938,f479,f943,f1279]) ).

fof(f2212,plain,
    ( spl0_136
    | ~ spl0_160
    | ~ spl0_26
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2101,f1034,f479,f1215,f1044]) ).

fof(f2214,plain,
    ( ~ spl0_108
    | ~ spl0_158
    | ~ spl0_48
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2009,f900,f582,f1205,f895]) ).

fof(f2217,plain,
    ( spl0_56
    | ~ spl0_23
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1805,f582,f466,f620]) ).

fof(f2218,plain,
    ( ~ spl0_135
    | ~ spl0_160
    | ~ spl0_23
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1604,f1034,f466,f1215,f1039]) ).

fof(f2219,plain,
    ( ~ spl0_118
    | ~ spl0_117
    | ~ spl0_23
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1607,f938,f466,f943,f948]) ).

fof(f2228,plain,
    ( ~ spl0_118
    | ~ spl0_167
    | ~ spl0_56
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2179,f943,f620,f1279,f948]) ).

fof(f2229,plain,
    ( ~ spl0_85
    | ~ spl0_83
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2184,f767,f620,f762,f772]) ).

fof(f2232,plain,
    ( ~ spl0_173
    | ~ spl0_120
    | ~ spl0_23
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1606,f954,f466,f959,f1349]) ).

fof(f2309,plain,
    ( ~ c0_1(a923)
    | c1_1(a923)
    | ~ spl0_57
    | ~ spl0_112 ),
    inference(resolution,[],[f625,f918]) ).

fof(f2320,plain,
    ( spl0_110
    | ~ spl0_111
    | ~ spl0_57
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2309,f916,f624,f911,f906]) ).

fof(f2323,plain,
    ( ~ c0_1(a905)
    | c1_1(a905)
    | ~ spl0_57
    | ~ spl0_142 ),
    inference(resolution,[],[f1078,f625]) ).

fof(f2324,plain,
    ( ~ c0_1(a905)
    | ~ c1_1(a905)
    | ~ spl0_56
    | ~ spl0_142 ),
    inference(resolution,[],[f1078,f621]) ).

fof(f2325,plain,
    ( spl0_175
    | ~ spl0_141
    | ~ spl0_57
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2323,f1076,f624,f1071,f1359]) ).

fof(f2329,plain,
    ( ~ spl0_175
    | ~ spl0_141
    | ~ spl0_56
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2324,f1076,f620,f1071,f1359]) ).

fof(f2330,plain,
    ( spl0_131
    | ~ spl0_133
    | ~ spl0_31
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1454,f1023,f501,f1028,f1018]) ).

fof(f2335,plain,
    ( spl0_121
    | spl0_173
    | ~ spl0_39
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1788,f959,f538,f1349,f964]) ).

fof(f2340,plain,
    ( ~ spl0_124
    | ~ spl0_122
    | ~ spl0_49
    | spl0_123 ),
    inference(avatar_split_clause,[],[f2060,f975,f588,f970,f980]) ).

fof(f2347,plain,
    ( ~ spl0_91
    | spl0_89
    | ~ spl0_55
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2157,f799,f615,f794,f804]) ).

fof(f2354,plain,
    ( spl0_139
    | ~ spl0_174
    | ~ spl0_21
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1581,f1050,f458,f1354,f1060]) ).

fof(f2359,plain,
    ( ~ spl0_122
    | ~ spl0_159
    | ~ spl0_48
    | spl0_123 ),
    inference(avatar_split_clause,[],[f2006,f975,f582,f1210,f970]) ).

fof(f2401,plain,
    ( spl0_173
    | spl0_121
    | ~ spl0_45
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1757,f954,f566,f964,f1349]) ).

fof(f2517,plain,
    ( spl0_144
    | spl0_145
    | ~ spl0_45
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1753,f1082,f566,f1092,f1087]) ).

fof(f2520,plain,
    ( spl0_160
    | ~ spl0_135
    | ~ spl0_31
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2100,f1034,f501,f1039,f1215]) ).

fof(f2537,plain,
    ( ~ c0_1(a901)
    | c1_1(a901)
    | ~ spl0_59
    | spl0_152 ),
    inference(resolution,[],[f634,f1132]) ).

fof(f2543,plain,
    ( ~ c0_1(a924)
    | c1_1(a924)
    | ~ spl0_59
    | spl0_158 ),
    inference(resolution,[],[f634,f1207]) ).

fof(f2556,plain,
    ( spl0_107
    | ~ spl0_108
    | ~ spl0_59
    | spl0_158 ),
    inference(avatar_split_clause,[],[f2543,f1205,f633,f895,f890]) ).

fof(f2560,plain,
    ( spl0_153
    | ~ spl0_154
    | ~ spl0_59
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2537,f1130,f633,f1140,f1135]) ).

fof(f2566,plain,
    ( ~ c0_1(a936)
    | c1_1(a936)
    | ~ spl0_60
    | ~ spl0_102 ),
    inference(resolution,[],[f639,f865]) ).

fof(f2567,plain,
    ( ~ c0_1(a946)
    | c1_1(a946)
    | ~ spl0_60
    | ~ spl0_90 ),
    inference(resolution,[],[f639,f801]) ).

fof(f2571,plain,
    ( spl0_177
    | ~ spl0_91
    | ~ spl0_60
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2567,f799,f638,f804,f1413]) ).

fof(f2580,plain,
    ( spl0_151
    | ~ spl0_162
    | ~ spl0_14
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1167,f1119,f430,f1225,f1124]) ).

fof(f2587,plain,
    ( spl0_64
    | ~ spl0_155
    | ~ spl0_14
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1188,f650,f430,f1190,f660]) ).

fof(f2590,plain,
    ( spl0_177
    | spl0_89
    | ~ spl0_47
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1777,f799,f577,f794,f1413]) ).

fof(f2593,plain,
    ( spl0_162
    | spl0_149
    | ~ spl0_51
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2020,f1119,f597,f1114,f1225]) ).

fof(f2594,plain,
    ( spl0_137
    | spl0_174
    | ~ spl0_51
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2021,f1055,f597,f1354,f1050]) ).

fof(f2595,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_51
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2024,f996,f597,f991,f986]) ).

fof(f2602,plain,
    ( spl0_174
    | spl0_139
    | ~ spl0_41
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1499,f1050,f549,f1060,f1354]) ).

fof(f2678,plain,
    ( c1_1(a960)
    | c0_1(a960)
    | ~ spl0_39
    | ~ spl0_78 ),
    inference(resolution,[],[f539,f737]) ).

fof(f2681,plain,
    ( spl0_79
    | spl0_77
    | ~ spl0_39
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2678,f735,f538,f730,f740]) ).

fof(f2688,plain,
    ( spl0_103
    | ~ spl0_165
    | ~ spl0_60
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2566,f863,f638,f1267,f868]) ).

fof(f2719,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_60 ),
    inference(resolution,[],[f583,f639]) ).

fof(f2738,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f2719]) ).

fof(f2740,plain,
    ( spl0_57
    | ~ spl0_48
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2738,f638,f582,f624]) ).

fof(f2752,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(resolution,[],[f598,f639]) ).

fof(f2773,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f2752]) ).

fof(f2775,plain,
    ( spl0_59
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2773,f638,f597,f633]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s5,plain,
    ( spl0_10
    | ~ spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s8,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s9,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s11,plain,
    ( spl0_7
    | spl0_10
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s17,plain,
    ( spl0_10
    | spl0_19
    | spl0_31
    | spl0_33 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s18,plain,
    ( spl0_10
    | spl0_23
    | spl0_31 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s20,plain,
    ( spl0_5
    | spl0_10
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s23,plain,
    ( spl0_10
    | ~ spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s24,plain,
    ( spl0_10
    | ~ spl0_27
    | spl0_33
    | spl0_39 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s25,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_31
    | spl0_39 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s27,plain,
    ( spl0_10
    | ~ spl0_20
    | spl0_31
    | spl0_40 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s28,plain,
    ( spl0_10
    | ~ spl0_18
    | spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s29,plain,
    ( spl0_10
    | spl0_14
    | spl0_30
    | spl0_41 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_17
    | spl0_45 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s33,plain,
    ( spl0_10
    | ~ spl0_12
    | spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s36,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_20
    | spl0_47 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s37,plain,
    ( spl0_2
    | spl0_10
    | spl0_25
    | spl0_48 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s38,plain,
    ( spl0_10
    | spl0_32
    | ~ spl0_38
    | spl0_48 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s40,plain,
    ( spl0_5
    | spl0_10
    | spl0_25
    | spl0_49 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s41,plain,
    ( spl0_2
    | spl0_10
    | spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s42,plain,
    ( spl0_10
    | spl0_23
    | spl0_49
    | spl0_51 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s43,plain,
    ( spl0_10
    | spl0_36
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s44,plain,
    ( ~ spl0_3
    | spl0_10
    | ~ spl0_38
    | spl0_53 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s45,plain,
    ( spl0_7
    | spl0_10
    | spl0_48
    | spl0_53 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s47,plain,
    ( spl0_10
    | ~ spl0_20
    | ~ spl0_22
    | spl0_55 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s48,plain,
    ( spl0_10
    | spl0_30
    | spl0_45
    | spl0_55 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s49,plain,
    ( spl0_10
    | spl0_15
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s50,plain,
    ( spl0_10
    | spl0_25
    | spl0_35
    | spl0_57 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s51,plain,
    ( spl0_7
    | spl0_10
    | spl0_11
    | spl0_57 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s54,plain,
    ( spl0_10
    | spl0_34
    | spl0_55
    | spl0_59 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s56,plain,
    ( spl0_10
    | spl0_16
    | spl0_19
    | spl0_60 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s58,plain,
    ( spl0_10
    | ~ spl0_20
    | spl0_56
    | spl0_60 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s59,plain,
    ( spl0_10
    | spl0_41
    | spl0_53
    | spl0_60 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s61,plain,
    ( spl0_18
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s62,plain,
    ( spl0_18
    | spl0_63 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s63,plain,
    ( spl0_18
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s69,plain,
    ( spl0_38
    | spl0_68 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s70,plain,
    ( spl0_38
    | spl0_69 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s71,plain,
    ( spl0_38
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s73,plain,
    ( spl0_20
    | spl0_71 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s74,plain,
    ( spl0_20
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s75,plain,
    ( spl0_20
    | spl0_73 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s81,plain,
    ( ~ spl0_24
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s82,plain,
    ( ~ spl0_24
    | spl0_78 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s83,plain,
    ( ~ spl0_24
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s89,plain,
    ( ~ spl0_13
    | spl0_83 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s90,plain,
    ( ~ spl0_13
    | spl0_84 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s91,plain,
    ( ~ spl0_13
    | spl0_85 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s97,plain,
    ( spl0_1
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s98,plain,
    ( spl0_1
    | spl0_90 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s99,plain,
    ( spl0_1
    | spl0_91 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s100,plain,
    ( spl0_1
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s101,plain,
    ( ~ spl0_6
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s103,plain,
    ( ~ spl0_6
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s104,plain,
    ( ~ spl0_6
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s113,plain,
    ( spl0_17
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s114,plain,
    ( spl0_17
    | spl0_102 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s115,plain,
    ( spl0_17
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s117,plain,
    ( ~ spl0_32
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s118,plain,
    ( ~ spl0_32
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s119,plain,
    ( ~ spl0_32
    | spl0_106 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s121,plain,
    ( spl0_12
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s122,plain,
    ( spl0_12
    | spl0_108 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s123,plain,
    ( spl0_12
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s125,plain,
    ( ~ spl0_5
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s126,plain,
    ( ~ spl0_5
    | spl0_111 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s127,plain,
    ( ~ spl0_5
    | spl0_112 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s128,plain,
    ( ~ spl0_5
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s129,plain,
    ( ~ spl0_2
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s130,plain,
    ( ~ spl0_2
    | spl0_114 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s131,plain,
    ( ~ spl0_2
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s133,plain,
    ( spl0_3
    | spl0_116 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s134,plain,
    ( spl0_3
    | spl0_117 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s135,plain,
    ( spl0_3
    | spl0_118 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s137,plain,
    ( spl0_9
    | spl0_119 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s138,plain,
    ( spl0_9
    | spl0_120 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s139,plain,
    ( spl0_9
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s141,plain,
    ( spl0_22
    | spl0_122 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s142,plain,
    ( spl0_22
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s143,plain,
    ( spl0_22
    | spl0_124 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s145,plain,
    ( ~ spl0_30
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s146,plain,
    ( ~ spl0_30
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s147,plain,
    ( ~ spl0_30
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s149,plain,
    ( ~ spl0_15
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s150,plain,
    ( ~ spl0_15
    | spl0_129 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s151,plain,
    ( ~ spl0_15
    | spl0_130 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s153,plain,
    ( ~ spl0_25
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s154,plain,
    ( ~ spl0_25
    | spl0_132 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s155,plain,
    ( ~ spl0_25
    | spl0_133 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s157,plain,
    ( ~ spl0_35
    | spl0_134 ),
    inference(sat_conversion,[],[f1037]) ).

cnf(s158,plain,
    ( ~ spl0_35
    | spl0_135 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s159,plain,
    ( ~ spl0_35
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1047]) ).

cnf(s161,plain,
    ( ~ spl0_7
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s162,plain,
    ( ~ spl0_7
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s163,plain,
    ( ~ spl0_7
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s166,plain,
    ( ~ spl0_4
    | spl0_141 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s167,plain,
    ( ~ spl0_4
    | spl0_142 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s168,plain,
    ( ~ spl0_4
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s169,plain,
    ( spl0_50
    | spl0_143 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s170,plain,
    ( spl0_50
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s171,plain,
    ( spl0_50
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1095]) ).

cnf(s173,plain,
    ( ~ spl0_52
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s174,plain,
    ( ~ spl0_52
    | spl0_147 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s175,plain,
    ( ~ spl0_52
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s177,plain,
    ( spl0_27
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s178,plain,
    ( spl0_27
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s179,plain,
    ( spl0_27
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s181,plain,
    ( ~ spl0_36
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s182,plain,
    ( ~ spl0_36
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s183,plain,
    ( ~ spl0_36
    | spl0_154 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s223,plain,
    ( ~ spl0_11
    | ~ spl0_71
    | spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s224,plain,
    ( ~ spl0_14
    | ~ spl0_71
    | spl0_72
    | spl0_163 ),
    inference(sat_conversion,[],[f1369]) ).

cnf(s225,plain,
    ( ~ spl0_21
    | ~ spl0_63
    | spl0_64
    | spl0_155 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s226,plain,
    ( ~ spl0_31
    | spl0_89
    | ~ spl0_90
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1416]) ).

cnf(s232,plain,
    ( ~ spl0_11
    | ~ spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s275,plain,
    ( ~ spl0_41
    | spl0_146
    | spl0_148
    | spl0_176 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s278,plain,
    ( ~ spl0_11
    | ~ spl0_23
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1552]) ).

cnf(s285,plain,
    ( ~ spl0_19
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s286,plain,
    ( ~ spl0_19
    | spl0_125
    | spl0_127
    | spl0_168 ),
    inference(sat_conversion,[],[f1560]) ).

cnf(s291,plain,
    ( ~ spl0_34
    | spl0_101
    | ~ spl0_102
    | spl0_165 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s294,plain,
    ( ~ spl0_40
    | spl0_138
    | spl0_139
    | spl0_174 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s313,plain,
    ( ~ spl0_19
    | ~ spl0_34
    | spl0_92
    | spl0_94 ),
    inference(sat_conversion,[],[f1663]) ).

cnf(s316,plain,
    ( ~ spl0_16
    | spl0_137
    | spl0_138
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s348,plain,
    ( ~ spl0_53
    | spl0_104
    | spl0_105
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1847]) ).

cnf(s349,plain,
    ( ~ spl0_53
    | ~ spl0_108
    | spl0_109
    | spl0_158 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s350,plain,
    ( ~ spl0_53
    | spl0_113
    | ~ spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s351,plain,
    ( ~ spl0_53
    | ~ spl0_122
    | spl0_123
    | spl0_159 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s352,plain,
    ( ~ spl0_53
    | spl0_125
    | spl0_127
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s366,plain,
    ( ~ spl0_26
    | ~ spl0_119
    | ~ spl0_120
    | spl0_121 ),
    inference(sat_conversion,[],[f1916]) ).

cnf(s369,plain,
    ( ~ spl0_33
    | ~ spl0_68
    | ~ spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s380,plain,
    ( ~ spl0_31
    | spl0_146
    | ~ spl0_147
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1960]) ).

cnf(s384,plain,
    ( ~ spl0_48
    | ~ spl0_71
    | spl0_72
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s395,plain,
    ( ~ spl0_21
    | spl0_104
    | ~ spl0_106
    | spl0_166 ),
    inference(sat_conversion,[],[f2047]) ).

cnf(s400,plain,
    ( ~ spl0_54
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2088]) ).

cnf(s405,plain,
    ( ~ spl0_31
    | ~ spl0_49
    | spl0_54 ),
    inference(sat_conversion,[],[f2093]) ).

cnf(s425,plain,
    ( ~ spl0_26
    | ~ spl0_116
    | ~ spl0_117
    | spl0_167 ),
    inference(sat_conversion,[],[f2202]) ).

cnf(s435,plain,
    ( ~ spl0_26
    | ~ spl0_134
    | spl0_136
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2212]) ).

cnf(s437,plain,
    ( ~ spl0_48
    | ~ spl0_108
    | spl0_109
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2214]) ).

cnf(s440,plain,
    ( ~ spl0_23
    | ~ spl0_48
    | spl0_56 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s441,plain,
    ( ~ spl0_23
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s442,plain,
    ( ~ spl0_23
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2219]) ).

cnf(s451,plain,
    ( ~ spl0_56
    | ~ spl0_117
    | ~ spl0_118
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2228]) ).

cnf(s452,plain,
    ( ~ spl0_56
    | ~ spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f2229]) ).

cnf(s455,plain,
    ( ~ spl0_23
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2232]) ).

cnf(s459,plain,
    ( ~ spl0_57
    | spl0_110
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2320]) ).

cnf(s462,plain,
    ( ~ spl0_57
    | ~ spl0_141
    | ~ spl0_142
    | spl0_175 ),
    inference(sat_conversion,[],[f2325]) ).

cnf(s466,plain,
    ( ~ spl0_56
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s467,plain,
    ( ~ spl0_31
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2330]) ).

cnf(s473,plain,
    ( ~ spl0_39
    | ~ spl0_120
    | spl0_121
    | spl0_173 ),
    inference(sat_conversion,[],[f2335]) ).

cnf(s478,plain,
    ( ~ spl0_49
    | ~ spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2340]) ).

cnf(s485,plain,
    ( ~ spl0_55
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f2347]) ).

cnf(s492,plain,
    ( ~ spl0_21
    | spl0_137
    | spl0_139
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2354]) ).

cnf(s497,plain,
    ( ~ spl0_48
    | ~ spl0_122
    | spl0_123
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2359]) ).

cnf(s507,plain,
    ( ~ spl0_45
    | ~ spl0_119
    | spl0_121
    | spl0_173 ),
    inference(sat_conversion,[],[f2401]) ).

cnf(s520,plain,
    ( ~ spl0_45
    | ~ spl0_143
    | spl0_144
    | spl0_145 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s523,plain,
    ( ~ spl0_31
    | ~ spl0_134
    | ~ spl0_135
    | spl0_160 ),
    inference(sat_conversion,[],[f2520]) ).

cnf(s531,plain,
    ( ~ spl0_59
    | spl0_107
    | ~ spl0_108
    | spl0_158 ),
    inference(sat_conversion,[],[f2556]) ).

cnf(s535,plain,
    ( ~ spl0_59
    | spl0_152
    | spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2560]) ).

cnf(s537,plain,
    ( ~ spl0_60
    | ~ spl0_90
    | ~ spl0_91
    | spl0_177 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s546,plain,
    ( ~ spl0_14
    | spl0_150
    | spl0_151
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2580]) ).

cnf(s553,plain,
    ( ~ spl0_14
    | spl0_62
    | spl0_64
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2587]) ).

cnf(s556,plain,
    ( ~ spl0_47
    | spl0_89
    | ~ spl0_90
    | spl0_177 ),
    inference(sat_conversion,[],[f2590]) ).

cnf(s559,plain,
    ( ~ spl0_51
    | spl0_149
    | spl0_150
    | spl0_162 ),
    inference(sat_conversion,[],[f2593]) ).

cnf(s560,plain,
    ( ~ spl0_51
    | spl0_137
    | spl0_138
    | spl0_174 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s561,plain,
    ( ~ spl0_51
    | spl0_125
    | spl0_126
    | spl0_127 ),
    inference(sat_conversion,[],[f2595]) ).

cnf(s568,plain,
    ( ~ spl0_41
    | spl0_137
    | spl0_139
    | spl0_174 ),
    inference(sat_conversion,[],[f2602]) ).

cnf(s576,plain,
    ( ~ spl0_39
    | spl0_77
    | ~ spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f2681]) ).

cnf(s583,plain,
    ( ~ spl0_60
    | ~ spl0_102
    | spl0_103
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2688]) ).

cnf(s587,plain,
    ( ~ spl0_48
    | spl0_57
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f2740]) ).

cnf(s593,plain,
    ( ~ spl0_51
    | spl0_59
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f2775]) ).

cnf(s594,plain,
    ( ~ spl0_25
    | ~ spl0_31 ),
    inference(rat,[],[s467,s153,s154,s155]) ).

cnf(s595,plain,
    ( ~ spl0_15
    | ~ spl0_54 ),
    inference(rat,[],[s400,s149,s150,s151]) ).

cnf(s596,plain,
    ( spl0_12
    | ~ spl0_53
    | ~ spl0_48 ),
    inference(rat,[],[s349,s437,s122,s123]) ).

cnf(s597,plain,
    ( ~ spl0_13
    | ~ spl0_56 ),
    inference(rat,[],[s452,s89,s90,s91]) ).

cnf(s599,plain,
    ( ~ spl0_7
    | spl0_23
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s224,s384,s73,s74,s8,s225,s553,s5,s597,s49,s595,s405,s61,s62,s63,s596,s42,s28,s59,s560,s568,s316,s56,s285,s161,s162,s163,s485,s537,s226,s97,s99,s98,s37,s594,s18,s100]) ).

cnf(s600,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s459,s125,s126,s127,s40,s51,s405,s223,s595,s73,s74,s75,s49,s58,s451,s425,s11,s599,s594,s537,s226,s18,s442,s133,s134,s135,s100,s485,s97,s98,s99]) ).

cnf(s601,plain,
    ( spl0_9
    | ~ spl0_26 ),
    inference(rat,[],[s366,s137,s138,s139]) ).

cnf(s602,plain,
    ( ~ spl0_9
    | spl0_47
    | ~ spl0_3
    | spl0_10 ),
    inference(rat,[],[s223,s73,s74,s75,s4,s36]) ).

cnf(s603,plain,
    ( spl0_177
    | spl0_25
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s33,s596,s369,s59,s69,s70,s71,s568,s23,s316,s507,s473,s56,s455,s285,s599,s161,s162,s163,s11,s601,s137,s138,s139,s602,s556,s537,s99,s98,s97,s600,s37,s100]) ).

cnf(s604,plain,
    ( spl0_38
    | ~ spl0_33 ),
    inference(rat,[],[s369,s69,s70,s71]) ).

cnf(s606,plain,
    ( spl0_20
    | ~ spl0_14
    | ~ spl0_48 ),
    inference(rat,[],[s224,s384,s73,s74]) ).

cnf(s607,plain,
    ( ~ spl0_7
    | spl0_31
    | ~ spl0_48
    | ~ spl0_3
    | spl0_2
    | spl0_10 ),
    inference(rat,[],[s492,s294,s8,s27,s606,s5,s596,s44,s604,s17,s285,s161,s162,s163,s597,s440,s18]) ).

cnf(s608,plain,
    ( spl0_25
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s351,s497,s141,s142,s47,s606,s5,s596,s44,s604,s232,s4,s601,s11,s607,s597,s440,s18,s226,s603,s37,s100,s485,s97,s98,s99,s600]) ).

cnf(s609,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(rat,[],[s313,s101,s103]) ).

cnf(s610,plain,
    ( ~ spl0_5
    | ~ spl0_57 ),
    inference(rat,[],[s459,s125,s126,s127]) ).

cnf(s611,plain,
    ( ~ spl0_48
    | spl0_12
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s466,s462,s166,s167,s2,s610,s609,s51,s17,s278,s54,s604,s69,s70,s531,s44,s437,s596,s440,s607,s485,s97,s98,s99,s600,s18,s594,s608,s100,s123,s122,s121]) ).

cnf(s612,plain,
    ( spl0_53
    | spl0_48
    | spl0_31
    | ~ spl0_3
    | spl0_10 ),
    inference(rat,[],[s17,s285,s604,s161,s162,s163,s44,s45]) ).

cnf(s613,plain,
    ( spl0_9
    | ~ spl0_53
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s286,s352,s17,s145,s147,s604,s48,s23,s507,s473,s455,s137,s138,s139,s485,s97,s98,s99,s18,s100]) ).

cnf(s614,plain,
    ( spl0_38
    | ~ spl0_11
    | ~ spl0_23 ),
    inference(rat,[],[s278,s69,s70]) ).

cnf(s615,plain,
    ( spl0_48
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s223,s73,s74,s75,s8,s395,s348,s117,s118,s119,s38,s614,s4,s613,s612,s600,s18,s594,s608,s100]) ).

cnf(s616,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s33,s520,s604,s169,s170,s171,s44,s41,s351,s478,s497,s141,s142,s143,s47,s606,s5,s597,s611,s440,s615,s18,s594,s608,s600,s100,s485,s97,s98,s99]) ).

cnf(s617,plain,
    ( ~ spl0_57
    | spl0_6
    | ~ spl0_56 ),
    inference(rat,[],[s466,s462,s166,s167,s2,s610]) ).

cnf(s618,plain,
    ( ~ spl0_3
    | ~ spl0_48
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s285,s161,s162,s163,s51,s617,s609,s54,s531,s437,s121,s122,s123,s33,s507,s455,s137,s138,s139,s4,s17,s614,s604,s44,s485,s97,s98,s99,s350,s129,s130,s131,s616,s440,s18,s100]) ).

cnf(s619,plain,
    ( spl0_3
    | ~ spl0_23 ),
    inference(rat,[],[s442,s133,s134,s135]) ).

cnf(s620,plain,
    ( spl0_31
    | spl0_1 ),
    inference(rat,[],[s618,s612,s619,s18,s100,s350,s129,s130,s131,s616]) ).

cnf(s621,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s316,s56,s568,s285,s161,s162,s163,s59,s537,s226,s620,s97,s99,s98,s100,s350,s129,s130,s131,s616]) ).

cnf(s622,plain,
    spl0_1,
    inference(rat,[],[s405,s40,s595,s610,s49,s51,s451,s223,s425,s73,s74,s75,s133,s134,s135,s36,s602,s601,s11,s621,s556,s594,s226,s620,s485,s97,s98,s99,s100]) ).

cnf(s623,plain,
    ( spl0_31
    | spl0_10 ),
    inference(rat,[],[s455,s473,s137,s138,s139,s4,s614,s44,s350,s129,s130,s131,s1,s619,s18,s25,s622]) ).

cnf(s624,plain,
    ( spl0_60
    | ~ spl0_23
    | spl0_10 ),
    inference(rat,[],[s316,s568,s56,s59,s285,s161,s163,s162,s11,s601,s4,s614,s44,s350,s129,s130,s131,s1,s619,s594,s623,s622]) ).

cnf(s625,plain,
    ( ~ spl0_35
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(rat,[],[s441,s523,s157,s158]) ).

cnf(s626,plain,
    ( ~ spl0_23
    | spl0_10 ),
    inference(rat,[],[s610,s20,s50,s625,s291,s583,s624,s113,s114,s115,s32,s507,s455,s137,s138,s139,s4,s614,s44,s350,s129,s130,s131,s1,s619,s594,s623,s622]) ).

cnf(s629,plain,
    ( ~ spl0_36
    | ~ spl0_59 ),
    inference(rat,[],[s535,s181,s182,s183]) ).

cnf(s630,plain,
    spl0_10,
    inference(rat,[],[s561,s145,s146,s147,s29,s275,s380,s173,s174,s175,s43,s629,s350,s129,s130,s131,s37,s587,s593,s56,s316,s560,s285,s161,s162,s163,s546,s11,s559,s435,s523,s177,s178,s179,s157,s158,s159,s24,s50,s604,s610,s23,s40,s42,s576,s478,s81,s82,s83,s141,s142,s143,s10,s9,s626,s594,s623,s622]) ).

cnf(s635,plain,
    ~ spl0_4,
    inference(rat,[],[s168,s630]) ).

cnf(s645,plain,
    ~ spl0_5,
    inference(rat,[],[s128,s630]) ).

cnf(s651,plain,
    ~ spl0_6,
    inference(rat,[],[s104,s630]) ).

cnf(s661,plain,
    $false,
    inference(rat,[],[s2,s645,s651,s635]) ).

fof(f2776,plain,
    $false,
    inference(avatar_sat_refutation,[],[s661]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN455+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17  % Computer : n003.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Mon Sep 28 16:06:42 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  Running first-order model finding
% 0.08/0.20  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
% 0.08/0.26  % (1722765)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (1722776)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3793065161:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26  % (1722771)% WARNING: option uhcvi not known.
% 0.08/0.26  % (1722774)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3287470321:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26  % (1722772)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2456165113:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26  % (1722770)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=228108691_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26  % (1722773)dis+10_1_sil=32000:sp=arity:random_seed=2277802670:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26  % (1722771)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=48790033:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26  % Detected minimum model sizes of [1]
% 0.08/0.26  % Detected maximum model sizes of [31]
% 0.08/0.26  % TRYING [1]
% 0.08/0.26  % TRYING [2]
% 0.08/0.26  % (1722776) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1722765-1722776"...
% 0.08/0.26  % TRYING [3]
% 0.08/0.26  % (1722776)...printing done.
% 0.08/0.26  % (1722776)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Theorem for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.28  % (1722776)------------------------------
% 0.08/0.28  % (1722776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.28  % (1722776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.28  % (1722776)CaDiCaL version: 2.1.3
% 0.08/0.28  % (1722776)Termination reason: Refutation
% 0.08/0.28  % (1722776)Time elapsed: 0.020 s
% 0.08/0.28  % (1722776)Peak memory usage: 13 MB
% 0.08/0.28  % (1722776)Instructions burned: 63 (million)
% 0.08/0.28  % (1722765)Success in time 0.055 s
% 0.08/0.28  % Vampire exiting
%------------------------------------------------------------------------------